Held in 2025
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Read the paper at your pace. Open an explanation when you need it.
Find the missing term in the given series.
EJL, JQU, OXD, TEM, ___
ZHL
YLV
ZIL
YIL
दी गई श्रृंखला में लुप्त शब्द ज्ञात कीजिए।
EJL, JQU, OXD, TEM, ___
Correct answer
YLV
Why this answer is correct
The correct answer is option 2 i.e. YLV
Hence, the correct answer is YLV
Directions
Read the information given below carefully and answer the questions accordingly:
A student walks 6 km in the West direction then he turns to his right and moves 8 km then he turns to his left and moves 9 km then turns to right and moves 12 km. Now in which direction is he from his starting point and how far?
25 km in North west
15 km in North East
35 km in North East
45 km in South East
एक छात्र पश्चिम दिशा में 6 किमी चलता है फिर वह अपने दाएं मुड़ता है और 8 किमी चलता है फिर वह अपनी बाएं मुड़ता है और 9 किमी चलता है और फिर दाएं मुड़ता है और 12 किमी चलता है। अब वह अपने शुरुआती बिंदु से किस दिशा में है और कितनी दूर है?
उत्तर पश्चिम में 25 किमी
उत्तर पूर्व में 15 किमी
उत्तर पूर्व में 35 किमी
दक्षिण पूर्व में 45 किमी
Correct answer
25 km in North west
Why this answer is correct
According to the given information, we get the following figure,
Distance AB = \( √(AC^2 + BC^2)\)
AB = \(√(15^2 + 20^2)\) = 25 km
Hence, The student is 25 km in North West direction from his starting point.
All 38 students of a class are standing in a straight row facing the north. Ashok is 16th from the right end, while Aruna is 19th from the left end. How many students stand between Ashok and Aruna?
Four
One
Three
Two
एक कक्षा के सभी 38 विद्यार्थी उत्तर की ओर उन्मुख सीधी पंक्ति में खड़े हैं। अशोक, दाएँ छोर से 16वें स्थान पर है जबकि अरुणा, बाएँ छोर से 19वें स्थान पर है। अशोक और अरुणा के बीच कितने विद्यार्थी हैं?
चार
एक
तीन
दो
Correct answer
Three
Why this answer is correct
Given: 38 students in a class standing in a straight row facing north.
Ashok is 16th from the right end and Aruna is 19th from the left end.
So, the number of students standing between Ashok and Aruna is:
= 38 - (16 + 19)
= 38 - 35
= 3 Students.
So, there are three students between Ashok and Aruna in the class.
Hence, the correct answer is 'option 3'.
In the alphabet, A B C D E F G H I J K L M N O P Q R S T U V W X Y Z, name the letter which is fifth to the right of the letter which is 9th from the right.
P
W
T
R
वर्णमाला ABCDEFGHIJKLMNOPQRSTU VWXYZ में, उस अक्षर का नाम बताइए जो दाईं ओर से 9 वें अक्षर के दाईं ओर से पांचवां है।
Correct answer
W
Why this answer is correct
TB Solution:
Identify the 9th letter from the right in the alphabet:
Starting from Z (1st from the right) and moving left: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Z (1), Y (2), X (3), W (4), V (5), U (6), T (7), S (8), R (9th from the right).
Now, find the 5th letter to the right of R:
Moving right from R: S (1), T (2), U (3), V (4), W (5th to the right).
The Correct Answer is W
Hence, "Option 2" is the correct answer.
If every alternate letter starting from the left end of the word VERNACULAR is written in capital letters, rest all are written in small letters, the new word thus formed is reversed, which letter will be fifth to the left of the letter third from the right?
c
A
L
U
यदि शब्द VERNACULAR के बाएँ सिरे से शुरू करते हुए हर दूसरे अक्षर को बड़े अक्षरों में लिखा जाता है और बाकी सभी अक्षरों को छोटे अक्षरों में लिखा जाता है और फिर बने हुए नए शब्द को व्युत्क्रमित किया जाता है, तब दायीं ओर से तीसरे अक्षर के बायीं ओर पाँचवाँ अक्षर कौन-सा होगा?
Correct answer
L
Why this answer is correct
Given word: VERNACULAR
Now,
Every alternate letter starting from the left end of the word is written in capital letters, and rest are written in small letters,
The words will be: vErNaCuLaR
Now after reversing the new word we get:
⇒ RaLuCaNrEv
Now the third letter from right is: r (R a L u C a N r E v)
And, Fifth letter to the left of r: L (R a L u C a N r E v)
Hence the correct answer is "L".
Which of the following jumbled words is not an animal?
LATHPEEN
OPELDRA
FEFEOC
TAR
Correct answer
FEFEOC
Why this answer is correct
Rearrangement of jumbled word are as follows:
LATHPEEN is written as ELEPHANT
OPELDRA is written as LEOPARD
FEFEOC is written as COFFEE which is not an animal. It is a beverage.
TAR is written as RAT.
Hence the correct answer is Option 3.
If ‘÷’ means ‘-‘, ‘-‘ means ‘×’, ‘×’ means ‘+’ and ‘+’ means ‘÷’, then,
20 × 60 ÷ 40 – 20 + 10 = ?
80
0
40
60
अगर ‘÷’ का अर्थ ‘-‘ है, ‘-‘ का अर्थ ‘×’ है, ‘×’ का अर्थ ‘+’ है और ‘+’ का अर्थ ‘÷’ है, तो,
20 × 60 ÷ 40 – 20 + 10 = ?
Correct answer
0
Why this answer is correct
Given,
| ÷ | – | × | + |
|---|---|---|---|
| Means | |||
| – | × | + | ÷ |
Now, 20 × 60 ÷ 40 – 20 + 10
⇒ 20 + 60 – 40 × 20 ÷ 10
= 20 + 60 – 40 × 2
= 20 + 60 – 80
= 80 – 80 = 0
Thus ‘0’ is the answer.
Rearrange the jumbled-up letters in the correct sequence and find the odd one out.
LTHOS
HHATEEC
PHDLINO
ULSIT
अव्यवस्थित अक्षरों को सही क्रम में पुनर्व्यवस्थित कीजिए और बेजोड़ ज्ञात कीजिए।
Correct answer
ULSIT
Why this answer is correct
LTHOS → SLOTH
HHATEEC → CHEETAH
PHDLINO → DOLPHIN
ULSIT → TULSI
Sloth, cheetah and dolphin are mammals. But, Tulsi is a plant.
Hence, ‘TULSI’ is the odd word from the given alternatives.
Study the following information carefully and answer the question based on it.
In the following figure, circle represents Holi, triangle represents Durga Puja, square represents Diwali and rectangle represents Google.
Which set of letters represents only all festivals?
F, I and D
I
F and I
E
निर्देश: निम्नलिखित जानकारी का ध्यानपूर्वक अध्ययन कीजिए और इस पर आधारित प्रश्न का उत्तर दीजिए:
निम्नलिखित आकृति में, वृत्त होली को दर्शाता है, त्रिभुज दुर्गा पूजा को दर्शाता है, वर्ग दिवाली को दर्शाता है और आयत गूगल को दर्शाता है।
अक्षरों का कौन सा समूह सिर्फ सभी त्योहारों को दर्शाता है?
F, I और D
I
F और I
E
Correct answer
I
Why this answer is correct
Here, ‘I’ represents all festivals.
**Note: Google is not a festival.
Only Holi, Diwali and Durga pooja are festival. That is why 'I' is the correct answer and not F.**
Hence, the answer is option 2.
Select the figure that will come next in the following figure series.
निम्नलिखित श्रृंखला में अगली आने वाली आकृति का चयन कीजिये।
Correct answer
Why this answer is correct
In the figure, triangle moves 90oclockwise while pentagon moves anti-clockwise in every figure.
Hence, the figure in option(3) is the correct answer.
In a family of seven members, there are four generations and two married couples. Dk is the daughter of Cm who is married to Lm. Lm is the son of Mn. Po is the sister–in–law of Qs. Qs and Mn are sons of Zc. There are more females than male members in the family. How is Lm related to Qs?
Niece
Nephew
Son
Daughter
सात सदस्यों वाले परिवार में चार पीढ़ी और दो विवाहित जोड़े हैं। Dk, Cm की पुत्री है, जिसकी शादी Lm से हुई है। Lm, Mn का पुत्र है। Po, Qs की भाभी है। Qs और Mn, Zc के पुत्र हैं। परिवार में पुरुष सदस्यों की तुलना में महिलाएँ अधिक हैं। Lm, Qs से किस प्रकार संबंधित है?
भाँजी
भतीजा
पुत्र
पुत्री
Correct answer
Nephew
Why this answer is correct
Eight members - three generations
There are more females than male members in the family.
Preparing the family tree using the following symbols:
Dk is the daughter of Cm who is married to Lm.
Lm is the son of Mn. Po is the sister–in–law of Qs.
Qs and Mn are sons of Zc.
Hence, Lm is the nephew of Qs.
Golu walks 15 m towards the east. He turns right and walks 28 m. He again turns right and walks 15 m. Finally, he moves 36 m after turning to the right. How far and in which direction is he from his starting position?
64 m, North
64 m, South
8 m, South
8 m, North
गोलू पूर्व की ओर 15 मीटर चलता है। वह दाएं मुड़ता है और 28 मीटर चलता है। वह फिर से दाएं मुड़ता है और 15 मीटर चलता है। अंत में, वह दाईं ओर मुड़कर 36 मीटर चलता है। वह अपने शुरुआती स्थान से कितनी दूर और किस दिशा में है?
64 मीटर, उत्तर
64 मीटर, दक्षिण
8 मीटर, दक्षिण
8 मीटर, उत्तर
Correct answer
8 m, North
Why this answer is correct
Given,
Golu walks 15 km towards the east.
AB = 15
He turns right and walks 28 km.
BC = 28
BC = DA = 28
He again turns right and walks 15 km.
CD = 15
AB = CD = 15
He moves 36 km after turning to the right.
DE = 36
Final destination of Golu is at point E from Point A (Golu’s starting point) and he is facing the North.
AE = DE – DA
AE = 36 – 28
AE = 8 (Facing the North)
Hence, 8 m, North is the correct answer.
If each letter of the English alphabet is assigned an odd numerical value in increasing order, such as A = 1, B = 3 and so on, then what will be the code of AIRINDIA?
2771711173517
1173517177271
1173517277171
1172771735171
यदि अंग्रेजी वर्णमाला के प्रत्येक अक्षर को बढ़ते क्रम में एक विषम संख्यात्मक मान दिया जाता है, जैसे A = 1, B = 3 और इसी तरह आगे भी किया जाता है, तब AIRINDIA का कूट क्या होगा?
Correct answer
1173517277171
Why this answer is correct
As per the given information:
| A | B | C | D | E | F | G | H | I | J | K | L | M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | 25 |
| 51 | 49 | 47 | 45 | 43 | 41 | 39 | 37 | 35 | 33 | 31 | 29 | 27 |
| Z | Y | X | W | V | U | T | S | R | Q | P | O | N |
| A | I | R | I | N | D | I | A |
|---|---|---|---|---|---|---|---|
| 1 | 17 | 35 | 17 | 27 | 7 | 17 | 1 |
Thus, the code for AIRINDIA is '1173517277171'.
Hence, the correct answer is "1173517277171".
From amongst the figures marked (A), (B), (C) and (D), select the figure which satisfies the same conditions of placement of the dots as in figure (X).
दिए गए (A), (B), (C) और (D) आकृतियों में से, उस आकृति का चयन कीजिए जो आकृति (X) में दिए गए बिन्दुओं के विस्थापन की समान शर्तों को पूरा करता है।
Correct answer
Why this answer is correct
In figure (X), one of the dots lies in the region common to the star and the triangle only and the other dot lies in the region common to the square, the star and the circle.
Only figure (D) consists of above types of regions.
Hence, figure (D) is the correct one.
Pointing towards Rita, Nikhil said, "I am the only son of her mother's son." How is Rita related to Nikhil if Rita is a woman?
Aunt
Niece
Mother
Cousin
रीता की ओर इशारा करते हुए, निखिल कहता है, "मैं उसकी माता के पुत्र का एकमात्र पुत्र हूँ"। यदि रीता एक महिला है तो रीता निखिल से किस प्रकार संबंधित है?
आंटी
नीस
माता
कजिन
Correct answer
Aunt
Why this answer is correct
From the given information, Preparing the family tree using the following symbols:
A possible family tree diagram will be:
Hence, Rita is the aunt of Nikhil.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
11, 12, 14, 18, 26, 42, 74, 138, ?
256
348
366
266
एक श्रृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से सही विकल्प का चयन करें जो श्रृंखला को पूरा करेगा।
11, 12, 14, 18, 26, 42, 74, 138, ?
Correct answer
266
Why this answer is correct
The pattern followed here is:
10 + 20 = 11
10 + 21 = 12
10 + 22 = 14
10 + 23 = 18
10 + 24 = 26
10 + 25 = 42
10 + 26 = 74
10 + 27 = 138
Similarly,
10 + 28 = 266
Hence, “266” is a term which will complete the series.
If in a certain code language MICROWAVE is written as LJBSNXZWD, then how will POPULAR be written in that code language?
QBIKVPAV
OPKVPAV
OPOVKBQ
KBQVOPA
यदि एक निश्चित कूट भाषा में MICROWAVE को LJBSNXZWD लिखा जाता है, तो उसी कूट भाषा में POPULAR को कैसे लिखा जाएगा?
Correct answer
OPOVKBQ
Why this answer is correct
The logic follows here is:
similarly,
Hence, the correct answer is "OPOVKBQ".
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
IEG, LIL, OMQ, ___, UUA
RRU
RRX
RQV
RSW
एक श्रृंखला दी गई है, जिसमें एक पद लुप्त है। दिए गये विकल्पों में से उस सही विकल्प का चयन कीजिये, जो श्रृंखला को पूरा करेगा।
IEG, LIL, OMQ, ___, UUA
Correct answer
RQV
Why this answer is correct
The pattern followed here is:
Hence, the correct answer is RQV
**Directions :**Find the missing number from the given responses.
35
37
45
47
निर्देश: दिये गये विकल्पों में से लुप्त संख्या ज्ञात कीजिए।
Correct answer
37
Why this answer is correct
6 × 5 + 4 × 2 = 38 5 × 7 + 4 × 5 = 55 5 × 5 + 3 × 4 = 37
Hence, 37 is missing term.
The time between 3 O' clock and 4 O' clock, when the minute hand is 4 minute spaces ahead of the hour hand, is
22 min. past 3
\(\rm 21\frac{7}{11}\ min. past\ 3\)
\(\rm 20\frac{8}{11}\ min. past\ 3\)
\(\rm 20\frac{2}{11}\ min. past\ 3\)
Correct answer
\(\rm 20\frac{8}{11}\ min. past\ 3\)
Why this answer is correct
Given time: between 3 O' clock and 4 O' clock
So, at 3 O' clock the two hands are 15 minute apart,
But, the given minute hand is 4 minute spaces ahead of the hour hand.
So, the minute hand is 4 minute spaces ahead of the hour hand: 15 + 4 = 19 Minutes.
As, In 1 hour(60 Minute) the minute hand gains 55 minutes.
So, In 19 minutes = \({60 \ × \ {19} \over 55}\)
= \({{228} \over 11}\) = \(20 {8 \ {} \over 11}\) Minutes
So, the minute hand is 4 minute spaces ahead of the hour hand, is \(\rm 20\frac{8}{11}\ min. past\ 3\)
Hence, the correct answer is "Option 3".
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
6, 20, 76, 300, 1196, ?
3000
3444
4700
4780
एक श्रृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से वह सही विकल्प चुनिए, जो श्रृंखला को पूरा करेगा।
6, 20, 76, 300, 1196, ?
Correct answer
4780
Why this answer is correct
The relation among given numbers is:
(6 × 4) – 4 = 20
(20 × 4) – 4 = 76
(76 × 4) – 4 = 300
(300 × 4) – 4 = 1196
(1196 × 4) – 4 = 4780
Hence, "4780" will complete the series.
From the given alternatives, select the best answer which has a same relationship as in the 1st pair.
Camels : Caravan :: Frogs: ?
Army
Troop
Herd
School
दिए गए विकल्पों में से, सबसे बेहतर उत्तर का चयन कीजिए, जिसका संबंध पहले युग्म के समान है।
ऊँट : कारवां :: मेंढक: ?
सेना
फौज
झुंड
स्कूल
Correct answer
Army
Why this answer is correct
A group of camels is called caravan.
Similarly, A group of frogs is called army.
Hence, Army is the correct answer.
Seven books – J, K, L, M, N, O and P are placed in a row facing north. N is placed at the extreme right position and adjacent to K. L is placed to the immediate left of the middle position of the row. M is to the left of L but not at any extreme end position. J is placed third to the right of M. O is placed between L and J. Which of the following statements is true?
K is placed at the extreme left end.
L is placed adjacent to O.
O is not in the middle of the row.
K is placed between O and M.
सात किताब – J, K, L, M, N, O और P एक पंक्ति में उत्तर के सम्मुख रखा जाता है। N को अंतिम दाएं स्थान पर और K के आसन्न रखा जाता है। L को पंक्ति के मध्य स्थान के ठीक बायीं ओर रखा जाता है। M, L के बायीं ओर है लेकिन किसी भी अंतिम छोर पर नहीं है। J, M के दायीं ओर से तीसरे स्थान पर है। O, L और J के बीच में स्थित है।
K को अंतिम बाएं छोर पर रखा जाता है।
L को O के आसन्न रखा जाता है।
O पंक्ति के मध्य में स्थित नहीं है।
K को O और M के बीच में रखा जाता है।
Correct answer
L is placed adjacent to O.
Why this answer is correct
The linear arrangement is as follows:
On checking each option:
K is placed at the extreme left end → False (as K is at 2nd position from the right)
L is placed adjacent to O → True
O is not in the middle of the row → False (as O is in the middle)
K is placed between O and M → False (as L is between O and M)
Hence, the statement given in option 2 is correct.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
12, 8, 6, 5, 4.5, ?
4.0
5.25
4.25
4.5
एक श्रृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से वह सही विकल्प चुनिए, जो श्रृंखला को पूरा करेगा।
12, 8, 6, 5, 4.5, ?
Correct answer
4.25
Why this answer is correct
The relation among given numbers is:
(12 + 4) ÷ 2 = 16 ÷ 2 = 8
(8 + 4) ÷ 2 = 6
(6 + 4) ÷ 2 = 5
(5 + 4) ÷ 2 = 4.5
(4.5 + 4) ÷ 2 = 4.25
Hence, 4.25 will complete the series.
From amongst the figures marked (A), (B), (C) and (D), select the figure which satisfies the same conditions of placement of the dots as in figure (X).
दिए गए (A), (B), (C) और (D) आकृतियों में से, उस आकृति का चयन कीजिए जो आकृति (X) में दिए गए बिन्दुओं के विस्थापन की समान शर्तों को पूरा करता है।
Correct answer
Why this answer is correct
In figure (X), dot lies in the region common to the circle and the hexagon only.
Only figure (D) consists of above types of regions.
Hence, figure (D) is the correct one.
The volume of rectangular block is 12288 m³. Its dimension are in the ratio of 4 : 3: 2. If the entire surface is polished at the rate 2 paise per m²,then find the total cost of polishing
Rs. 33.28
Rs. 11.14
Rs. 66.56
Rs. 44.42
आयताकार ब्लॉक का आयतन 12288 m³ है। इसके आयाम 4 : 3 : 2 के अनुपात में हैं। यदि पूरी सतह को 2 पैसे प्रति m² की दर से पॉलिश किया जाता है, तो पॉलिशिंग की कुल लागत ज्ञात कीजिए
33.28 रुपये
11.14 रुपये
66.56 रुपये
44.42 रुपये
Correct answer
Rs. 66.56
Why this answer is correct
Shortcut Trick
Ratio of dimensions = 4 : 3 : 2 ⇒ Product of ratios = 4 × 3 × 2 = 24.
Ratio constant x3 = 12288 ÷ 24 = 512 ⇒ x = 8.
Dimensions are 32, 24, and 16 m.
Total Surface Area (TSA) = 2 × [32×24 + 24×16 + 16×32] = 2 × 1664 = 3328 m2.
Total Cost = 3328 × 0.02 = Rs. 66.56.
∴ The correct answer is Rs. 66.56.
Alternate Method
Given: Volume of the rectangular block = 12288 m3, Ratio of dimensions = 4 : 3 : 2, Polishing rate = 2 paise per m2.
Formula Used: Volume = l × w × h; Total Surface Area (TSA) = 2(lw + wh + hl).
⇒ Let dimensions be 4x, 3x, and 2x.
⇒ Volume = 4x × 3x × 2x = 24x3
⇒ 24x3 = 12288
⇒ x3 = 512 ⇒ x = 8 m
⇒ Length (l) = 32 m, Width (w) = 24 m, Height (h) = 16 m
⇒ TSA = 2(32 × 24 + 24 × 16 + 16 × 32)
⇒ TSA = 2(768 + 384 + 512) = 2 × 1664 = 3328 m2
⇒ Rate of polishing = 2 paise/m²
⇒ Cost = (3328 × 2) paise = 6656 paise
Since 100 paise = ₹1
⇒ Total Cost in Rupees = 6656 ÷ 100 = Rs. 66.56
∴ The correct answer is Rs. 66.56.
Additional Information
Cuboid Dimensions
Total Surface Area = 2(lb + bh + hl) and Lateral Surface Area = 2h(l + b).
Volume of Cuboid
The volume of a rectangular prism (cuboid) is given by Length × Breadth × Height.
Diagonal of Cuboid
The length of the longest rod that can be placed in a cuboid is √(l2 + b2 + h2).
Currency Conversion
To convert paise to Rupees, divide the amount by 100 as 1 Rupee = 100 Paise.
Tom travelled 285 km in 6 hours. In his total travelling, he travelled the first part by bus at 40 km/hr and the remaining part by train at 55 km/hr. How much distance has he travelled by train?
165 km
155 km
135 km
120 km
टॉम ने 6 घंटे में 285 किमी की यात्रा की। अपनी कुल यात्रा में, उसने पहला भाग 40 किमी/घंटा की चाल से बस से और शेष भाग 55 किमी/घंटा की चाल से ट्रेन से तय किया। उसने ट्रेन से कितनी दूरी तय की?
165 किमी
155 किमी
135 किमी
120 किमी
Correct answer
165 km
Why this answer is correct
Given:
Total distance = 285 km
Total time = 6 hours
Speed by bus = 40 km/hr
Speed by train = 55 km/hr
Let distance travelled by bus = x km
Formula used:
Time = Distance ÷ Speed
Total time = Time by bus + Time by train
Calculations:
Time by bus = x ÷ 40
Time by train = (285 - x) ÷ 55
Total time = 6 hours
⇒ x ÷ 40 + (285 - x) ÷ 55 = 6
⇒ (55x + 40(285 - x)) ÷ (40 × 55) = 6
⇒ (55x + 11400 - 40x) ÷ 2200 = 6
⇒ (15x + 11400) ÷ 2200 = 6
⇒ 15x + 11400 = 13200
⇒ 15x = 13200 - 11400
⇒ 15x = 1800
⇒ x = 1800 ÷ 15
⇒ x = 120 km
Distance travelled by train = 285 - 120 = 165 km
∴ Distance travelled by train = 165 km
The value of \(1\frac{1}{3}\div \left[2\frac{1}{6}\div \left{14\frac{1}{3}-\left(2\frac{1}{3}+3\frac{1}{2}\right)\right}\right]\) is:
\(4\frac{3}{17}\)
\(3\frac{2}{17}\)
\(5\frac{3}{13}\)
\(3\frac{2}{13}\)
\(1\frac{1}{3}\div \left[2\frac{1}{6}\div \left{14\frac{1}{3}-\left(2\frac{1}{3}+3\frac{1}{2}\right)\right}\right]\) का मान ज्ञात कीजिए:
Correct answer
\(5\frac{3}{13}\)
Why this answer is correct
Here is the step-by-step solution for the given problem:
Given:
11⁄3 ÷ [21⁄6 ÷ {141⁄3 - (21⁄3 + 31⁄2)}]
Formula used:
Division of fractions: a ÷ b = a × 1/b
Calculations:
Step 1: Simplify the inner bracket:
21⁄3 + 31⁄2 = 7/3 + 7/2
⇒ (14 + 21)/6 = 35/6
Step 2: Subtract from 141⁄3:
141⁄3 - 35/6 = 43/3 - 35/6
⇒ (86 - 35)/6 = 51/6
Step 3: Now divide 21⁄6 by 51/6:
21⁄6 = 13/6
⇒ 13/6 ÷ 51/6 = 13/6 × 6/51
⇒ 13/51
Step 4: Finally, divide 11⁄3 by 13/51:
11⁄3 = 4/3
⇒ 4/3 ÷ 13/51 = 4/3 × 51/13
⇒ 68/13 = \(5\frac{3}{13}\)
∴ The correct answer is option (3).
Out of a class of 200 people, 50 people’s average marks is 40, and the remaining 150 people’s average is 60. Find the people’s weighted average.
150
200
50
55
200 लोगों की एक कक्षा में, 50 लोगों के औसत अंक 40 हैं, और शेष 150 लोगों का औसत 60 है। लोगों का भारित औसत ज्ञात कीजिए।
Correct answer
55
Why this answer is correct
Shortcut Trick
Ratio of students = 50 : 150 = 1 : 3.
Assume a base average of 40.
Net deviation from 40 = 3 × (60 − 40) = 3 × 20 = 60.
Distribute deviation among total ratio parts (1 + 3 = 4): 60 ÷ 4 = 15.
Weighted Average = 40 + 15 = 55.
∴ The correct answer is 55.
Alternate Method
Given:
Number of people in Group 1 (n1) = 50, Average (A1) = 40
Number of people in Group 2 (n2) = 150, Average (A2) = 60
Formula:
Weighted Average = (n1A1 + n2A2) ÷ (n1 + n2)
Calculations:
⇒ Total marks of Group 1 = 50 × 40 = 2000
⇒ Total marks of Group 2 = 150 × 60 = 9000
⇒ Total combined marks = 2000 + 9000 = 11000
⇒ Total number of people = 50 + 150 = 200
⇒ Weighted Average = 11000 ÷ 200
⇒ Weighted Average = 55
∴ The correct answer is 55.
Additional Information
Weighted Average Formula
For multiple groups, the formula is ΣniAi ÷ Σni, where n is the number of items and A is the average of each group.
Alligation Rule
Ratio of quantities = (Higher Average − Weighted Average) : (Weighted Average − Lower Average). This is used to find the ratio of quantities when the average of each and the mixture is known.
Deviation Method
Weighted Average = Assumed Average + (Net Deviation ÷ Total Quantity). This simplifies calculations by using smaller numbers.
A shopkeeper sold an article at a 26% profit. On selling it for ₹2,250 more, he would get a profit of 41%. If this article is sold at 12% profit, then the selling price would be:
₹16,800
₹15,000
₹16,120
₹15,800
एक दुकानदार ने एक वस्तु को 26% लाभ पर बेचा। इसे ₹2,250 अधिक में बेचने पर, उसे 41% का लाभ होता। यदि इस वस्तु को 12% लाभ पर बेचा जाता है, तो विक्रय मूल्य होगा:
Correct answer
₹16,800
Why this answer is correct
Given:
A shopkeeper sold an article at a 26% profit. On selling it for ₹2,250 more, he would get a profit of 41%. If this article is sold at 12% profit, then the selling price would be:
Formula used:
Let the cost price (CP) be ₹x.
Selling Price (SP) at 26% profit = x + 0.26x = 1.26x
Selling Price (SP) at 41% profit = x + 0.41x = 1.41x
Calculation:
Given: 1.41x - 1.26x = ₹2,250
⇒ 0.15x = ₹2,250
⇒ x = ₹2,250 / 0.15
⇒ x = ₹15,000
Selling Price at 12% profit = x + 0.12x = 1.12x
⇒ Selling Price = 1.12 × ₹15,000
⇒ Selling Price = ₹16,800
∴ The correct answer is option 1.
Mira can complete a piece of work in 20 days, Nina in 30 days and Sima in 40 days. Mira and Sima worked together for 4 days and then Mira was replaced by Nina. In how many days, altogether, was the work completed?
16
14
18
20
मीरा एक काम को 20 दिन में, नीना 30 दिन में और सीमा 40 दिन में पूरा कर सकती है। मीरा और सीमा ने 4 दिन साथ काम किया और फिर मीरा की जगह नीना ने ले ली। कुल मिलाकर काम कितने दिन में पूरा हुआ?
Correct answer
16
Why this answer is correct
Given:
Mira can complete a piece of work in 20 days.
Nina can complete a piece of work in 30 days.
Sima can complete a piece of work in 40 days.
Mira and Sima worked together for 4 days, then Mira was replaced by Nina.
Formula Used:
Work done by a person in 1 day = 1 / (Total days to complete the work)
Total work done = Sum of individual works
Calculation:
Work done by Mira in 1 day = 1/20
Work done by Sima in 1 day = 1/40
Work done by Mira and Sima together in 1 day = 1/20 + 1/40
⇒ Work done by Mira and Sima together in 1 day = 2/40 + 1/40
⇒ Work done by Mira and Sima together in 1 day = 3/40
Work done by Mira and Sima in 4 days = 4 × 3/40
⇒ Work done by Mira and Sima in 4 days = 12/40
⇒ Work done by Mira and Sima in 4 days = 3/10
Remaining work = 1 - 3/10
⇒ Remaining work = 10/10 - 3/10
⇒ Remaining work = 7/10
Work done by Nina in 1 day = 1/30
Now, Sima and Nina work together.
⇒ Work done by Sima and Nina together in one day = 1/40 + 1/30
⇒ Work done by Sima and Nina together in one day = 3/120+ 4/120
⇒ Work done by Sima and Nina together in one day = 7/120
Number of days required to complete 7/10 work = 7/10 × 120/7 = 12 days.
Total number of days to complete the work = 4 (Mira and Sima) + 12 (Nina and Sima)
⇒ Total number of days = 16
The work was completed in 16 days.
Alternate Method
LCM (20,30,40) = 120 = Total work.
Mira does = 120/20 = 6 units of work in one day.
Nina does = 120/30 = 4 units of work in one day.
Sima does = 120/40 = 3 units of work in one day.
Now, in 4 days Mira and Sima does = 6× 4 + 3× 4 = 36 units of work.
Remaining work = 120 -36 = 84 units.
After replacement of Mira, Sima and Nina does = 4 + 3 = 7 units in one day.
So, they complete work in 84 / 7 = 12 days.
∴ The work gets completed in 4 + 12 = 16 days.
A and B are two stations 420 km apart. A train starts from A at 11 am and travels towards B at the speed of 70 kmph. Another train starts from B at 12 noon and travels towards A at the speed of 30 kmph. At what time do they meet?
2 pm
1.30 pm
3.30 pm
3 pm
A और B दो स्टेशन हैं जो 420 किलोमीटर की दूरी पर हैं। एक ट्रेन सुबह 11 बजे A से आरम्भ होती है और 70 किलोमीटर प्रति घंटे की चाल से B की ओर जाती है। दूसरी ट्रेन दोपहर 12 बजे B से आरम्भ होती है और 30 किलोमीटर प्रति घंटे की चाल से A की ओर जाती है। वे किस समय एक-दूसरे से मिलते हैं?
दोपहर 2 बजे
दोपहर 1:30 बजे
दोपहर 3:30 बजे
दोपहर 3 बजे
Correct answer
3.30 pm
Why this answer is correct
Given:
Distance between stations A and B = 420 km
Speed of the train starting from A = 70 kmph
Speed of the train starting from B = 30 kmph
Train from A starts at 11 am
Train from B starts at 12 noon
Formula Used:
Time = Distance / Speed
Calculation:
Let the trains meet after t hours from 12 noon.
Distance covered by the train from A in (t+1) hours (since it starts 1 hour earlier) = 70 × (t + 1)
Distance covered by the train from B in t hours = 30 × t
Since the total distance is 420 km, we have:
70(t + 1) + 30t = 420
⇒ 70t + 70 + 30t = 420
⇒ 100t + 70 = 420
⇒ 100t = 350
⇒ t = 3.5
So, the trains meet 3.5 hours after 12 noon, which is 3:30 pm.
The correct answer is option 3.
The ratio of marks of A and B is 3 : 4 and the ratio of marks of B and C is 4 : 5. If the difference in the marks of C and A is 30, then how much marks does B get?
52
60
56
64
A और B के अंकों का अनुपात 3 : 4 है और B और C के अंकों का अनुपात 4 : 5 है। यदि C और A के अंकों में अंतर 30 है, तो B को कितने अंक मिलते हैं?
Correct answer
60
Why this answer is correct
Given:
Ratio of marks of A and B = 3 : 4
Ratio of marks of B and C = 4 : 5
Difference in the marks of C and A = 30
Formula Used:
To find the marks of B, use the combined ratio method.
Calculation:
Let the marks of A, B, and C be 3x, 4x, and 5x respectively.
Given that the difference in the marks of C and A is 30:
5x - 3x = 30
⇒ 2x = 30
⇒ x = 15
Marks of B = 4x = 4 × 15 = 60
Therefore, B gets 60 marks.
Radhika requested the cashier of a bank to get her coins in lieu of her cheque worth ₹1,845. Cashier gave her a packet containing ₹5, ₹10 and ₹20 coins in the ratio of 3 : 5 : 7. What is the total worth of the smallest coin received by her?
₹125
₹135
₹105
₹145
राधिका ने एक बैंक के कैशियर से ₹1,845 मूल्य के चेक के बदले सिक्के मांगे। कैशियर ने उसे 3 : 5 : 7 के अनुपात में ₹5, ₹10 और ₹20 के सिक्कों वाला एक पैकेट दिया। उसे मिले सबसे छोटे सिक्के का कुल मूल्य कितना है?
Correct answer
₹135
Why this answer is correct
Shortcut Trick
Value ratio of coins = (₹5 × 3) : (₹10 × 5) : (₹20 × 7) = 15 : 50 : 140
Total value units = 15 + 50 + 140 = 205 units
205 units = ₹1845 ⇒ 1 unit = ₹9
Total worth of smallest coin (₹5) = 15 units = 15 × 9 = ₹135
∴ The correct answer is ₹135.
Alternate Method
Given:
Total amount = ₹1,845
Denominations = ₹5, ₹10 and ₹20
Ratio of number of coins = 3 : 5 : 7
Total Cheque Value = ₹1845
₹5
Ratio: 3x
Value: 15x
₹10
Ratio: 5x
Value: 50x
₹20
Ratio: 7x
Value: 140x
Total Value = 15x + 50x + 140x = 205x
205x = 1845 → x = 9 → ₹5 Value = 15(9) = ₹135
Calculations:
⇒ Let the number of ₹5, ₹10 and ₹20 coins be 3x, 5x and 7x respectively.
⇒ Total worth of ₹5 coins = 5 × 3x = 15x
⇒ Total worth of ₹10 coins = 10 × 5x = 50x
⇒ Total worth of ₹20 coins = 20 × 7x = 140x
⇒ Total amount = 15x + 50x + 140x = 205x
⇒ Given total amount = 1845
⇒ 205x = 1845
⇒ x = 1845 ÷ 205
⇒ x = 9
⇒ The smallest coin is ₹5.
⇒ Total worth of ₹5 coins = 15x = 15 × 9 = ₹135
∴ The correct answer is ₹135.
Additional Information
Coins and Denomination Rule
Total Value of Coins = Value of one coin × Number of coins. Always convert the ratio of the number of coins to the ratio of their total values to equate with the total amount.
Ratio & Proportion
When parts of a whole are given in a ratio (a : b : c), the actual values can be written as ax, bx, and cx where x is a common multiplier. Summing these parts directly connects the ratio to the absolute total quantity.
In a class with a certain number of students, if one student weighing 30 kg is added, then the average weight of the class increases by 1 kg. If one more student weighing 30 kg is added, then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?
26.5
27
25.5
24
एक कक्षा में कुछ छात्र हैं। यदि 30 किलोग्राम वजन वाला एक छात्र कक्षा में शामिल होता है, तो कक्षा का औसत वजन 1 किलोग्राम बढ़ जाता है। यदि 30 किलोग्राम वजन वाला एक और छात्र कक्षा में शामिल होता है, तो कक्षा का औसत वजन मूल औसत से 1.5 किलोग्राम बढ़ जाता है। कक्षा का मूल औसत वजन (किलोग्राम में) क्या है?
Correct answer
27
Why this answer is correct
Given:
Weight of each added student = 30 kg
Increase in average after first student = 1 kg
Increase in average after second student = 1.5 kg over original average
Formula used:
Let original number of students be n and original average weight be A kg.
After first student is added:
(nA + 30) / (n + 1) = A + 1
After second student is added:
(nA + 60) / (n + 2) = A + 1.5
Calculations:
(nA + 30) / (n + 1) = A + 1
⇒ nA + 30 = (A + 1)(n + 1)
⇒ nA + 30 = An + A + n + 1
⇒ 30 = A + n + 1
⇒ 29 = A + n ...
(1) (nA + 60) / (n + 2) = A + 1.5
⇒ nA + 60 = (A + 1.5)(n + 2)
⇒ nA + 60 = An + 1.5n + 2A + 3
⇒ 60 = 1.5n + 2A + 3
⇒ 57 = 1.5n + 2A ... (2) From (1): A = 29 - n
Substitute into (2):
57 = 1.5n + 2(29 - n)
⇒ 57 = 1.5n + 58 - 2n
⇒ 57 = 58 - 0.5n
⇒ -1 = -0.5n
⇒ n = 2
From (1): A = 29 - 2
⇒ A = 27
∴ The correct answer is option (2).
A shopkeeper sells an item at 20% discount on the marked price and earns a profit of 90%. If he sells the same item at 40% discount, then his new profit percentage will be:
42.5%
45.8%
41.8%
48.2%
एक दुकानदार किसी वस्तु को अंकित मूल्य पर 20% छूट पर बेचता है और 90% का लाभ कमाता है। यदि वह उसी वस्तु को 40% छूट पर बेचता है, तो उसका नया लाभ प्रतिशत कितना होगा?
Correct answer
42.5%
Why this answer is correct
Given:
A shopkeeper sells an item at 20% discount on the marked price and earns a profit of 90%. If he sells the same item at 40% discount, then his new profit percentage will be:
Formula used:
Let Marked Price (MP) = 100
Discount = 20%
Selling Price (SP) = MP - Discount
Cost Price (CP) = SP / (1 + Profit%)
New Discount = 40%
New Selling Price (NSP) = MP - New Discount
New Profit % = (NSP - CP) / CP × 100
Calculation:
Let Marked Price (MP) = 100
Discount = 20%
Selling Price (SP) = 100 - 20 = 80
Profit = 90%
Cost Price (CP) = 80 / 1.90
⇒ CP = 42.105
New Discount = 40%
New Selling Price (NSP) = 100 - 40 = 60
New Profit % = (60 - 42.105) / 42.105 × 100
⇒ New Profit % = 17.895 / 42.105 × 100
⇒ New Profit % ≈ 42.5%
∴ The correct answer is option 1.
The price of an electronic watch is first reduced by 25% and then increased by 50%. If the resulting price of the electronic watch is Rs. 7,650, then what was its original price (in Rs.)?
6,900
6,800
6,600
6,500
एक इलेक्ट्रॉनिक घड़ी के मूल्य में पहले 25% की कमी की जाती है और फिर 50% की वृद्धि की जाती है। यदि इलेक्ट्रॉनिक घड़ी का परिणामी मूल्य 7,650 रुपये है, तो इसकी मूल मूल्य (रुपये में) कितना था?
Correct answer
6,800
Why this answer is correct
Given:
The price of an electronic watch is first reduced by 25% and then increased by 50%. The resulting price is ₹7,650.
Formula used:
Let the original price be P.
After a 25% reduction, the price becomes P - 0.25P = 0.75P.
After a 50% increase, the price becomes 0.75P + 0.5(0.75P) = 1.125P.
We know that 1.125P = ₹7,650.
Calculation:
1.125P = 7,650
⇒ P = 6,800
∴ The correct answer is option (2).
Ramendra purchased some watermelons for Rs. 1,500. He sold one-fourth of them at a loss of 12%. At what gain percentage should the remaining watermelons be sold so as to gain 25% on the whole transaction (correct to two decimal places)?
37.65%
33.73%
37.33%
33.43%
रामेंद्र कुछ तरबूज 1,500 रुपये में खरीदता है। वह उनमें से एक-चौथाई तरबूज 12% की हानि पर बेचता है। शेष तरबूजों को किस लाभ प्रतिशत पर बेचा जाना चाहिए ताकि पूरे लेनदेन पर 25% का लाभ हो सके (दशमलव के दो स्थानों तक पूर्णांकित)?
Correct answer
37.33%
Why this answer is correct
Given:
Ramendra purchased watermelons for Rs. 1,500
He sold one-fourth of them at a loss of 12%
He wants to gain 25% on the whole transaction
Formula used:
Total Cost Price (CP) = Rs. 1,500
CP of 1/4 watermelons = 1500/4 = Rs. 375
Loss on 1/4 watermelons = 12%
CP of remaining 3/4 watermelons = 1500 - 375 = Rs. 1125
Overall Gain = 25%
Total Selling Price (SP) = CP × (1 + Overall Gain%)
Calculations:
SP of 1/4 watermelons = CP - Loss
⇒ SP of 1/4 watermelons = 375 - (12/100 × 375)
⇒ SP of 1/4 watermelons = 375 - 45
⇒ SP of 1/4 watermelons = Rs. 330
Total SP for 25% overall gain = 1500 × (1 + 25/100)
⇒ Total SP = 1500 × 1.25
⇒ Total SP = Rs. 1875
SP of remaining 3/4 watermelons = Total SP - SP of 1/4 watermelons
⇒ SP of remaining 3/4 watermelons = 1875 - 330
⇒ SP of remaining 3/4 watermelons = Rs. 1545
Gain on remaining 3/4 watermelons = SP - CP
⇒ Gain = 1545 - 1125
⇒ Gain = Rs. 420
Gain Percentage on remaining 3/4 watermelons = (Gain/CP) × 100
⇒ Gain Percentage = (420/1125) × 100
⇒ Gain Percentage = 37.33%
∴ The correct answer is option 3.
The diameter of the base of a cylindrical tank is 28 cm and its height is 42 cm. Find its curved surface area.
3686 cm2
3690 cm2
3680 cm2
3696 cm2
एक बेलनाकार टैंक के आधार का व्यास 28 सेमी है और इसकी ऊँचाई 42 सेमी है। इसका वक्र पृष्ठीय क्षेत्रफल ज्ञात कीजिए।
3686 सेमी2
3690 सेमी2
3680 सेमी2
3696 सेमी2
Correct answer
3696 cm2
Why this answer is correct
Given:
Diameter of the base (d) = 28 cm
Radius (r) = d/2 = 28/2 = 14 cm
Height (h) = 42 cm
Formula used:
Curved Surface Area (CSA) of a cylinder = 2πrh
Calculations:
CSA = 2 × π × 14 × 42
⇒ CSA = 2 × 22/7 × 14 × 42
⇒ CSA = 2 × 22 × 2 × 42
⇒ CSA = 3696 cm2
∴ The correct answer is option (4).
A dice is thrown. What is the probability of getting a number greater than 2?
\(\frac{3}{1}\)
\(\frac{1}{3}\)
\(\frac{2}{3}\)
\(\frac{3}{2}\)
एक पांसे को फेंका जाता है। 2 से बड़ी संख्या प्राप्त होने की प्रायिकता क्या है?
Correct answer
\(\frac{2}{3}\)
Why this answer is correct
Formula used:
Probablity = Number of favourable outcomes / Total number of outcomes
Calculation:
Number greater than 2 are 3, 4, 5 and 6
Number of favourable outcomes = 3, 4, 5, 6 → 4
Total number of outcomes = 1, 2, 3, 4, 5, 6 → 6
Probablity of getting a number greater than 2 = \(\frac{4}{6}\) = \(\frac{2}{3}\)
Hence, the correct answer is "\(\frac{2}{3}\)"
A box contains 6 white, 2 black and 3 red balls. If a ball is drawn randomly, what is the probability that it will not be white?
\(\frac{5}{6}\)
\(\frac{5}{11}\)
\(\frac{6}{11}\)
\(\frac{6}{5}\)
एक बॉक्स में 6 सफेद, 2 काली और 3 लाल गेंदें हैं। यदि एक गेंद यादृच्छिक रूप से निकाली जाती है, तब निकाली गई गेंद के सफेद नहीं होने की प्रायिकता क्या होगी?
Correct answer
\(\frac{5}{11}\)
Why this answer is correct
Shortcut Trick
Total balls = 6 White + 2 Black + 3 Red = 11
Non-white balls = 2 Black + 3 Red = 5
Probability = Non-white balls ÷ Total balls = 5/11
∴ The correct answer is 5/11.
Alternate Method
Given:
Number of white balls = 6
Number of black balls = 2
Number of red balls = 3
Formula Used:
Probability = Favorable Outcomes ÷ Total Outcomes
6 White
2 Black
3 Red
Total 11 Balls
5 Not White
Calculations:
⇒ Total possible outcomes = 6 + 2 + 3 = 11
⇒ Favorable outcomes (not white) = 2 (Black) + 3 (Red) = 5
⇒ Probability (Not White) = 5 ÷ 11 = 5/11
∴ The correct answer is 5/11.
Additional Information
Probability Bounds
The probability of any event E always lies between 0 and 1, inclusive: 0 ≤ P(E) ≤ 1. A probability of 0 means the event is impossible, and 1 means the event is certain.
Complement of an Event
The complement of an event A, denoted as A', is the event that A does not occur. The sum of probabilities of an event and its complement is always 1: P(A) + P(A') = 1.
Equally Likely Outcomes
When outcomes in a sample space are equally likely, the theoretical probability of an event is calculated directly as the number of favorable outcomes divided by the total number of possible outcomes.
Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of two numbers is 2574, then what is the value of the larger number?
1521
1471
1641
1419
दो संख्याओं में से, छोटी संख्या का 65% बड़ी संख्या के 45% के बराबर है। यदि दोनों संख्याओं का योग 2574 है, तब बड़ी संख्या का मान क्या है?
Correct answer
1521
Why this answer is correct
Given:
Out of two numbers, 65% of the smaller number is equal to 45% of the larger
number. If the sum of two numbers is 2574
Calculation:
Let the smaller number be ‘x’ and the larger number be ‘y’
From the problem, it is given that
65%x = 45%y
⇒ 13x = 9y
⇒ x = (9/13)y ----(1)
Given the sum of the numbers = 2574
⇒ (x + y) = 2574 ----(2)
Substituting the value of ‘x’ from Equation 1 in Equation 2, we get
(9/13)y + y = 2574
⇒ (9y + 13y) = 2574 × 13
⇒ 22y = (2574 × 13)
⇒ y = (2574 × 13)/22 = 1521
∴ Value of the larger number is 1521
The selling price of an article is Rs 2,28,528. A shopkeeper marks its price 15 % above its cost price and gives a discount of 10 %. The cost price is?
2,18,650
2,87,390
2,58,740
2,20,800
एक वस्तु का विक्रय मूल्य 2,28,528 रुपये है। एक दुकानदार इसका मूल्य इसके क्रय मूल्य से 15% अधिक अंकित करता है और 10% की छूट देता है। क्रय मूल्य ज्ञात कीजिये?
Correct answer
2,20,800
Why this answer is correct
Given:
Selling price of an article is 2,28,528.
Calculation:
Let the cost price of the article be Rs. x
According to question,
⇒ x × (115 / 100) × (90 / 100) = 2,28,528
⇒ x = 228528 × (100 / 90) × (100 / 115)
⇒ x = 2,20,800
The cost price of the article is 2,20,800
Shortcut Trick
We know, 15% → \(\frac{3}{20}\)
Let's assume that the CP is 20,
Then, MP is 15% more than CP so, MP = 23
A discount of 10% is given, so SP = \(23 \times \frac{90}{100} = 20.7\)
According to the question,
⇒ 20.7 unit → 228528
⇒ 20 unit → \(\frac{228528}{20.7} \times 20 = 220800\)
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered-to with remaining meal?
20
30
40
50
एक शिविर में, 120 पुरुषों या 200 बच्चों के लिए भोजन उपलब्ध है। यदि 150 बच्चों ने भोजन कर लिया है, तो शेष भोजन से कितने पुरुष भोजन करेंगे?
Correct answer
30
Why this answer is correct
Shortcut Trick
Meal capacity: 120 men = 200 children.
Ratio of Men to Children = 120 : 200 = 3 : 5.
Remaining meal for children = 200 − 150 = 50 children.
Number of men = 50 × (3 ÷ 5) = 30 men.
∴ The correct answer is 30 men.
Alternate Method
Given:
Total capacity = 120 men or 200 children.
Children who ate = 150 children.
Calculations:
⇒ 120 Men = 200 Children
⇒ 1 Child = 120 ÷ 200 Men = 0.6 Men
⇒ Total Children capacity = 200
⇒ Remaining meal in terms of children = 200 − 150 = 50 children
⇒ Number of men for remaining meal = 50 × 0.6
⇒ Number of men = 30
∴ The correct answer is 30 men.
Additional Information
Equating Efficiency
When work is constant, we equate the total units: M1 × E1 = M2 × E2. Here, 120 × Men_Efficiency = 200 × Children_Efficiency.
Unitary Method
Find the value of one unit (e.g., 1 child's meal in terms of men) and multiply by the required number of units.
Ratio Application
The ratio of men to children is inverse to their consumption capacity. If 120M = 200C, then the ratio M:C = 5:3 for consumption rates.
Two trains, one 152.5 m long and the other 157.5 m long, coming from opposite directions crossed each other in 9.3 seconds. The combined speed of the two trains every hour would then be:
130 km/hr
125 km/hr
115 km/hr
120 km/hr
विपरीत दिशाओं से आने वाली दो ट्रेनें, जिनकी लंबाई 152.5 मीटर और 157.5 मीटर है, 9.3 सेकंड में एक-दूसरे को पार करती हैं। तब प्रत्येक घंटे दोनों ट्रेनों की संयुक्त गति कितनी होगी?
130 किमी/घंटा
125 किमी/घंटा
115 किमी/घंटा
120 किमी/घंटा
Correct answer
120 km/hr
Why this answer is correct
Shortcut Trick
Relative speed (opposite direction) = Sum of individual speeds = Total distance ÷ Time taken.
Total Distance = 152.5 + 157.5 = 310 m
Combined Speed = 310 ÷ 9.3 = 100 ÷ 3 m/s
Convert to km/hr = (100 ÷ 3) × (18 ÷ 5) = 120 km/hr
∴ The correct answer is 120 km/hr.
Alternate Method
Train 1: 152.5 m
V₁
Train 2: 157.5 m
V₂
Total Distance = 152.5 + 157.5 = 310 m
Time taken to cross = 9.3 s
Given:
Length of the first train (L1) = 152.5 m
Length of the second train (L2) = 157.5 m
Time taken to cross each other (T) = 9.3 seconds
Formula Used:
When two objects move in opposite directions, their relative speed is the sum of their individual speeds.
Relative Speed = Total Distance ÷ Time
Total Distance = L1 + L2
Speed in km/hr = Speed in m/s × (18 ÷ 5)
Calculation:
⇒ Total Distance = 152.5 + 157.5
⇒ Total Distance = 310 m
⇒ Combined Speed (m/s) = 310 ÷ 9.3
⇒ Combined Speed (m/s) = 3100 ÷ 93 = 100 ÷ 3 m/s
⇒ Combined Speed in km/hr = (100 ÷ 3) × (18 ÷ 5)
⇒ Combined Speed in km/hr = 20 × 6 = 120 km/hr
∴ The correct answer is 120 km/hr.
Additional Information
Relative Speed in Opposite Directions
When two bodies travel in opposite directions, their relative speed is the sum of their individual speeds: Srelative = S1 + S2.
Relative Speed in Same Direction
When two bodies travel in the same direction, their relative speed is the difference of their individual speeds: Srelative = |S1 − S2|.
Speed Unit Conversion
To convert speed from km/hr to m/s, multiply by (5 ÷ 18). To convert speed from m/s to km/hr, multiply by (18 ÷ 5).
Trains Crossing a Stationary Object
When a train crosses a point-sized object (like a pole or man), the distance covered equals the length of the train. If it crosses a platform or bridge, the distance is the length of the train plus the length of the object.
In March 2025, India launched 'Operation Brahma' in response to which event?
A devastating earthquake in Myanmar
A major flood in northeastern India
A cyclone affecting the eastern coast of India
A volcanic eruption in the Andaman Islands
मार्च 2025 में, भारत ने किस घटना के जवाब में 'ऑपरेशन ब्रह्मा' शुरू किया?
म्यांमार में एक विनाशकारी भूकंप
भारत के पूर्वोत्तर में एक बड़ी बाढ़
भारत के पूर्वी तट को प्रभावित करने वाला एक चक्रवात
अंडमान द्वीप समूह में एक ज्वालामुखी विस्फोट
Correct answer
A devastating earthquake in Myanmar
Why this answer is correct
The correct answer is A devastating earthquake in Myanmar.
Key Points
Additional Information
NATO will establish a new land command in _________ near the Russian border in 2025 to oversee northern European land operations during potential conflicts.
Turkmenistan
Finland
Ukraine
Kyrgyzstan
NATO 2025 में रूसी सीमा के पास _________ में एक नया थल कमान स्थापित करेगा जो संभावित संघर्षों के दौरान उत्तरी यूरोपीय थल संचालन का निरीक्षण करेगा।
तुर्कमेनिस्तान
फ़िनलैंड
यूक्रेन
किर्गिस्तान
Correct answer
Finland
Why this answer is correct
The correct answer is Finland.
Key Points
Additional Information
Which is the Indian light tank whose initial automotive trials were conducted by Defense Research and Development Organization (DRDO) on 13 September 2024?
Bhishma
Atharva
Ajeya
Zorawar
13 सितंबर 2024 को रक्षा अनुसंधान और विकास संगठन (DRDO) द्वारा किए गए प्रारंभिक स्वचालित परीक्षणों वाला भारतीय लाइट टैंक कौन सा है?
भीष्म
अथर्व
अजेय
जोरावर
Correct answer
Zorawar
Why this answer is correct
The correct answer is Zorawar.
Key Points
Additional Information
Which country, along with India, has commenced the 1st edition of a joint military exercise, Desert Cyclone 2024 in Mahajan, Rajasthan on 2nd January 2024?
United Arab Emirates
Mongolia
Egypt
Kyrgyzstan
भारत के साथ किस देश ने 2 जनवरी 2024 को राजस्थान के महाजन में संयुक्त सैन्य अभ्यास, डेजर्ट साइक्लोन 2024 का पहला संस्करण शुरू किया है?
संयुक्त अरब अमीरात
मंगोलिया
मिस्र
किर्गिज़स्तान
Correct answer
United Arab Emirates
Why this answer is correct
The correct answer is the United Arab Emirates.
In News
Key Points
Additional Information
Which country is not a member of the United Nations?
Afghanistan
Taiwan
East Timor
Macedonia
कौन सा देश संयुक्त राष्ट्र का सदस्य नहीं है?
अफ़ग़ानिस्तान
ताइवान
पूर्वी तिमोर
मैसेडोनिया
Correct answer
Taiwan
Why this answer is correct
The correct answer is Taiwan.
Key Points
Additional Information
Ustad BismIllah Khan was famous for playing which musical Instrument?
santoor
sitar
Shehnai
tabla
उस्ताद बिस्मिल्लाह खाँ किस वाद्य यंत्र को बजाने के लिए प्रसिद्ध थे?
संतूर
सितार
शहनाई
तबला
Correct answer
Shehnai
Why this answer is correct
The correct answer is Shehnai.
Key Points
At which of the following place, the weight of an object is maximum?
At poles
At equator
At tropic of Capricorn
At tropic of cancer
निम्न में से किस स्थान पर वस्तु का वजन अधिकतम होता है?
ध्रुवों पर
भूमध्य रेखा पर
मकर रेखा पर
कर्क रेखा पर
Correct answer
At poles
Why this answer is correct
CONCEPT:
Weight:
W = mg
Where m = mass of the object and g = acceleration due to gravity
EXPLANATION:
\(\Rightarrow g = \frac{{GM}}{{{R^2}}}\)
| Mass | Weight |
|---|---|
| Mass of a body is the measure of its inertia, greater the mass of the body greater will be the inertia. | The weight of a body at any place is the product of its mass and gravitational acceleration at that place. W = mg |
| Mass of the body always remains constant. | The weight of the body can slightly vary from place to place on the earth. |
| Its value can never be zero for any material particle. | At the pole, the weight of the body is maximum, whereas, at the equator, it is minimum. |
Exercise “Poorvi Leher” (XPOL) was conducted by which Indian service?
Indian Army
Indian Navy
Indian Air Force
Indian Coast Guard
अभ्यास "पूर्वी लहर" (XPOL) किस भारतीय सेवा द्वारा आयोजित किया गया था?
भारतीय सेना
भारतीय नौसेना
भारतीय वायु सेना
भारतीय तटरक्षक बल
Correct answer
Indian Navy
Why this answer is correct
The correct answer is Indian Navy.
Key Points
Additional Information
Where does the Bay of Bengal Monsoon Branch and Arabian Sea Branch merge?
Southern Part of Peninsular
Coromandel Coast
North Western Part of Ganga Plains
North of Deccan Plateau
बंगाल की खाड़ी मानसून शाखा और अरब सागर शाखा का विलय कहाँ होता हैं?
प्रायद्वीपीय का दक्षिणी भाग
कोरोमंडल तट
गंगा के मैदान का उत्तर पश्चिमी भाग
दक्कन पठार के उत्तर में
Correct answer
North Western Part of Ganga Plains
Why this answer is correct
The correct answer is North Western Part of Ganga Plains.
Key Points
Additional Information
What is the mascot of the 38th National Games hosted by Uttarakhand (February 2025)?
Shikhar
Rudra
Mouli
Pahad Singh
उत्तराखंड द्वारा फरवरी 2025 में आयोजित 38वें राष्ट्रीय खेलों का शुभंकर क्या है?
शिखर
रुद्र
मौली
पहाड़ सिंह
Correct answer
Mouli
Why this answer is correct
The correct answer is Mouli.
Key Points
Additional Information
The first Olympic Games of the modern era opened in _______ on 6 April 1896.
Amsterdam
London
Los Angeles
Athens
आधुनिक युग का पहला ओलंपिक खेल _______ में 6 अप्रैल 1896 को प्रारंभ हुआ।
एम्स्टर्डम
लंदन
लॉस एंजिल्स
एथेंस
Correct answer
Athens
Why this answer is correct
The correct answer is Athens.
Key Points
Important Points
Additional Information
Olympic flag contains 5 rings representing five continents. Which two continents do not touch Indian ocean?
Asia, Europe
Europe, Africa
Europe, Australia
Europe, North America.
ओलंपिक ध्वज में पाँच छल्ले हैं जो पाँच महाद्वीपों का प्रतिनिधित्व करते हैं। कौन-से दो महाद्वीप हिंद महासागर को नहीं छूते हैं?
एशिया, यूरोप
यूरोप, अफ्रीका
यूरोप, ऑस्ट्रेलिया
यूरोप, उत्तरी अमेरिका.
Correct answer
Europe, North America.
Why this answer is correct
The correct answer is 4) Europe, North America.
Key Points
Additional Information
Which kind of missile is BRAHMOS?
Medium range ballistic missile
Supersonic cruise missile
Short range tactical missile
Ultrasonic cruise missile
ब्रह्मोस किस तरह की मिसाइल है?
मध्यम दूरी की बैलिस्टिक मिसाइल
सुपरसोनिक क्रूज मिसाइल
शॉर्ट रेंज टैक्टिकल मिसाइल
अल्ट्रासोनिक क्रूज मिसाइल
Correct answer
Supersonic cruise missile
Why this answer is correct
The correct answer is option 2 i.e Supersonic cruise missile.
Key Points
Isotones have always ______.
Same number of protons
Same atomic number
Same number of neutron
Same number of proton and same number of neutron
समन्यूट्रॉनिक में सदैव ______ होती हैं।
प्रोटॉन की समान संख्या
समान परमाणु संख्या
न्यूट्रॉन की समान संख्या
प्रोटॉन की समान संख्या और न्यूट्रॉन की भी समान संख्या
Correct answer
Same number of neutron
Why this answer is correct
The correct answer is the same number of neutrons.
Explanation:
Isotones:
Isobar:
Isotopes:
The motto of the Defence Research and Development Organisation is -
Jagratam Aharnisham
Tejasvinavdhitamastu
Balasya Mulam Vigyanam
Vayam Rakshamah
रक्षा अनुसंधान एवं विकास संगठन का आदर्शवाक्य है-
जागृतं अहर्निशम्
तेजस्विनाधीतमस्तु
बलस्य मूलं विज्ञानम्
वयं रक्षामः
Correct answer
Balasya Mulam Vigyanam
Why this answer is correct
The correct answer is Balasya Mulam Vigyanam.
Key Points
Defence Research and Development Organisation(DRDO) -
Director of "All We Imagine as Light" won the Grand Prix at Cannes Film Festival 2024. Who is the Director of the film?
Sanjay Leela Bhansali
Payal Kapadia
Mani Ratnam
Anurag Basu
"ऑल वी इमेजिन एज़ लाइट" के निर्देशक ने कान्स फिल्म फेस्टिवल 2024 में ग्रैंड प्रिक्स जीता । इस फिल्म के निर्देशक कौन हैं?
संजय लीला भंसाली
पायल कपाड़िया
मणिरत्नम
अनुराग बसु
Correct answer
Payal Kapadia
Why this answer is correct
The correct answer is Payal Kapadia.
Key Points
Additional Information
Match List I with the correct options of List II.
| List I (Name of Operation) | List II (Related to) |
|---|---|
| I. Operation Nistar | A. Rescue operation in Yemen |
| II. Operation Pawan | B. Control of Jaffna peninsula |
| III. Operation Karuna | C. To provide help to cyclone-hit Myanmar |
| IV. Operation Devi Shakti | D. India evacuates citizens from war-torn Afghanistan |
I-B, II-A, III-C, IV-D
I-B, II-A, III-D, IV-C
I-D, II-C, III-B, IV-A
I-A, II-B, III-C, IV-D
सूची I को सूची II के सही विकल्पों के साथ सुमेलित करें।
| सूची I (ऑपरेशन का नाम) | सूची II (संदर्भ के) |
|---|---|
| I. ऑपरेशन निस्तार | A. यमन में बचाव अभियान |
| II. संचालन पवन ने किया | B. जाफना प्रायद्वीप पर नियंत्रण |
| III. ऑपरेशन करुणा | C. चक्रवात प्रभावित म्यांमार को सहायता प्रदान करना |
| IV. संचालन देवी शक्ति ने किया | D. भारत ने युद्धग्रस्त अफगानिस्तान से नागरिकों को निकाला |
I-B, II-A, III-C, IV-D
I-B, II-A, III-D, IV-C
I-D, II-C, III-B, IV-A
IA, II-B, III-C, IV-D
Correct answer
I-A, II-B, III-C, IV-D
Why this answer is correct
The correct answer is option 4.
Key Points
The strongest cyclone in the cyclone history of India known as ‘Super cyclone’ occurred in which state?
Karnataka
Gujarat
Andhra Pradesh
Odisha
भारत के चक्रवात इतिहास का सबसे शक्तिशाली चक्रवात जिसे 'सुपर साइक्लोन' के नाम से जाना जाता है, किस राज्य में हुआ था?
कर्नाटक
गुजरात
आंध्र प्रदेश
उड़ीसा
Correct answer
Odisha
Why this answer is correct
The correct answer is 'Odisha'
Key Points
Additional Information
The main cause of Earthquake is
Erosion
Denudation
Tectonic forces
Weathering
भूकंप का मुख्य कारण क्या है?
कटाव
अनाच्छादन
विवर्तनिक बल
अपक्षय
Correct answer
Tectonic forces
Why this answer is correct
The correct answer is Tectonic forces.
Key Points
Explanation:
Confusion Points
Who founded the Servants of India Society?
Chittaranjan Das
Gopal Krishna Gokhale
Lala Har Dayal
Bal Gangadhar Tilak
सर्वेन्ट्स ऑफ इंडिया सोसायटी की स्थापना किसने की?
चितरंजन दास
गोपाल कृष्ण गोखले
लाला हर दयाल
बाल गंगाधर तिलक
Correct answer
Gopal Krishna Gokhale
Why this answer is correct
The correct answer is Gopal Krishna Gokhale.
Key Points
Chhau dance is popular in the __________ state.
Tamil Nadu
Andhra Pradesh
Kerala
West Bengal
छऊ नृत्य __________ राज्य में लोकप्रिय है।
तमिलनाडु
आंध्र प्रदेश
केरल
पश्चिम बंगाल
Correct answer
West Bengal
Why this answer is correct
The correct answer is West Bengal.
Key Points
Additional Information
Important Points
| List of Classical dances in India | State of Origin |
|---|---|
| Bharatnatyam | Tamil Nadu |
| Kathak | Uttar Pradesh |
| Kuchipudi | Andhra Pradesh |
| Odissi | Odisha |
| Kathakali | Kerala |
| Sattriya | Assam |
| Manipuri | Manipur |
| Mohiniyattam | Kerala |
P-75 I (or P-75. India) project refers to manufacture of
Diesel-electric submarines.
Nuclear-powered submarines.
Aircraft carrier warships.
Field guns.
P-75 I (या P-75 इंडिया) परियोजना किसके निर्माण से संबंधित है?
डीजल-विद्युत पनडुब्बी
परमाणु-चालित पनडुब्बी
विमानवाहक युद्धपोत
फील्ड गन
Correct answer
Diesel-electric submarines.
Why this answer is correct
The correct answer is Diesel-electric submarines.
Key Points
Important Points
Who was conferred the title of 'Father of Lok Sabha' by Jawaharlal Nehru?
Bal Gangadhar Tilak
Mahatma Gandhi
Hukum Singh
Ganesh Vasudev Mavalankar
Correct answer
Ganesh Vasudev Mavalankar
Why this answer is correct
The correct answer is Ganesh Vasudev Mavalankar.
Key Points
Ganesh Vasudev Mavalankar:
Group Captains _______________ and Prasanth Balakrishnan Nair have been selected as prime and backup mission pilots for the Axiom-4 mission to the International Space Station (ISS).
Shubhanshu Shukla
Abhishek Nayar
Arjun Rastogi
Jagat Singh
ग्रुप कैप्टन _______________ और प्रशांत बालकृष्णन नायर को अंतर्राष्ट्रीय अंतरिक्ष स्टेशन (ISS) के लिए एक्सिओम-4 मिशन के लिए प्राइम और बैकअप मिशन पायलट के रूप में चुना गया है।
शुभांशु शुक्ला
अभिषेक नायर
अर्जुन रस्तोगी
जगत सिंह
Correct answer
Shubhanshu Shukla
Why this answer is correct
The correct answer is Shubhanshu Shukla
In News
Key Points
Gen. Bipin Rawat was commissioned to the 5th battalion and the _____ of the Indian army in December 1978.
Rajputana Rifles
Dogra Regiment
11 Gorkha Rifles
Madras Regiment
जनरल बिपिन रावत को दिसंबर 1978 में भारतीय सेना की 5वीं बटालियन और _____ में कमीशन दिया गया था।
राजपुताना राइफल्स
डोगरा रेजिमेंट
11 गोरखा राइफल्स
मद्रास रेजिमेंट
Correct answer
11 Gorkha Rifles
Why this answer is correct
The correct answer is 11 Gorkha Rifles.
Key Points
Additional Information
| Rajputana Rifles | - First raised in May 1820 at Poona. - Formally raised in 1921 as part of the British Army. |
|---|---|
| Dogra Regiment | - Raised as "Agra Levy" by the British Army as a part of the Bengal army in 1858. - Was renamed the 38th Dogras. |
| Madras Regiment | - Raised as the 36 Madras Battalion in 1794 at Thanjavur. |
Go through the sentence and find out which one's grammatically correct.
No sooner had I left home than it began to rain.
No sooner I left home than it began to rain.
No sooner had I left home it began to rain.
No sooner I had left home than it began to rain.
Correct answer
No sooner had I left home than it began to rain.
Why this answer is correct
The correct answer is "No sooner had I left home than it began to rain."
Key Points
Therefore, the correct answer is "option 1".
Go through the sentence and find out which one's grammatically correct.
One should keep his promises.
One should keep our promises.
One should keep their promises.
One should keep one's promises.
Correct answer
One should keep one's promises.
Why this answer is correct
The correct answer is "One should keep one's promises."
Key Points
Therefore, the correct answer is "option 4".
Go through the sentence and find out which one's grammatically correct.
My father helped me to clean the room.
My father helped me cleaning the room.
My father helped me clean the room.
My father helped me cleaned the room.
Correct answer
My father helped me clean the room.
Why this answer is correct
The correct answer is "My father helped me clean the room."
Key Points
Therefore, the correct answer is "option 3".
Which one is the correct form of the given sentences?
My mother does a vile in front of my grandfather.
My mother does a wile in front of my grandfather.
My mother does a wail in front of my grandfather.
My mother does a veil in front of my grandfather.
Correct answer
My mother does a veil in front of my grandfather.
Why this answer is correct
The correct answer is - "My mother does a veil in front of my grandfather."
Key Points
So the correct option is Option 4
Which is the correct form of the given sentence?
Politicians always go off their promises.
Politicians always go back on their promises.
Politicians always go on their promises.
Politicians always go through their promises.
Correct answer
Politicians always go back on their promises.
Why this answer is correct
The correct answer is - "Politicians always go back on their promises"
Key Points
So the correct option is Option 2
The following sentence has been split into four segments. Identify the segment that contains a grammatical error:
He sings good / among all the / contestants in / the singing competition.
contestants in
He sings good
the singing competition
among all the
Correct answer
He sings good
Why this answer is correct
The correct answer is Option 2.
Key Points
Therefore, the correct answer is 2.
Correct Sentence: "He sings well among all the contestants in the singing competition."
Additional Information
The underlined phrase in the given sentence has been used incorrectly. Select the option that can correctly replace the underlined segment.
I am down with her complaints.
passed out with
fed up with
held down with
looked down with
Correct answer
fed up with
Why this answer is correct
The correct answer is ‘2’ i.e. fed up with.
Key Points
Hence, the correct answer is option 2.
Correct sentence: I am fed up with her complaints.
Additional Information
Select the most appropriate option that can substitute the underlined segment in the given sentence to improve it. If no improvement is required, select ‘No improvement required’.
By next summer, I will have completed my internship and will have returned to school.
No improvement required
returned to school.
will return to school.
have returned to school.
Correct answer
returned to school.
Why this answer is correct
The correct answer is Option 2)
Key Points
Hence, the correct statement is 'By next summer, I will have completed my internship and returned to school.'
Additional Information
Select the most appropriate option to improve the underlined segment in the given sentence. If there is no improvement required, select ‘No improvement’.
Scarcely he see his opponent than he went numb with fear.
No improvement
As soon as
Hardly did
No sooner did
Correct answer
No sooner did
Why this answer is correct
The correct answer is 'No sooner did' i.e. this part of the sentence has an error.
Key Points
Hence, the correct answer is option 4.
Correct sentence: No sooner did he see his opponent than he went numb with fear.
Additional Information
Select the most appropriate option that can substitute the underlined segment in the given sentence to improve it. If no improvement is required, select ‘No improvement required’.
We have received no information so far to the main island.
so farther from
No improvement required
such far from
so far from
Correct answer
so far from
Why this answer is correct
The correct answer is Option 4)
Key Points
Hence, the correct statement is ' We have received no information so far from the main island.'
Additional Information
Select the most appropriate option to improve the underlined segment in the given sentence. If there is no improvement required, select ‘No improvement’.
She is married with a rich businessman and has enough money to splurge on luxuries.
No improvement
is married to
has marriage with
has married with
Correct answer
is married to
Why this answer is correct
The correct answer is Option 2)
Key Points
Hence, the correct statement is 'She is married to a rich businessman and has enough money to splurge on luxuries.'
Additional Information
Read the given passage and answer the questions that follow.
The sage of science, Einstein, was sitting in a pensive mood one evening. His eyes were brimming with tears. The pain was evident on his face. He peeped out of the window of his room. The sun had set a few minutes back. The sky was filled with a reddish glow. At this sunset, he felt that it was humanity that had sunk into devilish darkness and the reddish glow in the sky was the blood of humanity spilling all over the sky from earth. With tired steps, he walked back to his chair and settled down. It was the 9th of August 1945. Three days back, he had been torn apart when he had heard on the radio that America had dropped an atom bomb on the Japanese city, Hiroshima. Today, within three days, another bomb was dropped on another city, Nagasaki; and, lakhs of people had been killed.
He had heard that the blast released so much energy that it had paled all past destructions in comparison and death had played out a pitiable dance of destruction. The flames that broke out of the bomb were burning, melting and exploding buildings. Scared of the heat of the bomb, people had jumped into lakes and rivers, but the water was boiling, and the people too were burnt and killed. The animals in the water were already boiled to death. Animals, trees, herbs, fragrant flowering plants were all turned into ashes. The atomic energy destruction had just not stopped there. It had entered the atmosphere there and had spread radiation that would affect people for generations to come and would also ring about destructive irreversible biological changes in animals and plants.
As the news of the atomic attack reached Einstein, and he became aware of the glaring horror of the abuse of atomic energy, his distress and restlessness knew no bounds. He could not control himself and picked up his violin to turn his mind on to other things. While playing the violin, his heart was filled with an ocean of agony and tears just continued streaming uncontrollably out of his eyes.
Select the most appropriate meaning of ‘pensive’ as used in the passage.
Shocked
Aggressive
Thoughtful
Restless
Correct answer
Thoughtful
Why this answer is correct
The correct answer is: Thoughtful.
Key Points
Therefore, the correct answer is: Thoughtful.
Additional Information
Here are the other options explained along with their Hindi meanings and example sentences:
Which of the following statements does NOT depict the destruction caused by the atom bomb?
Burning and exploding buildings
Animals and plants reduced to ashes
Darkness descending from the sky
Boiling of the lakes and rivers
Correct answer
Darkness descending from the sky
Why this answer is correct
The correct answer is Option 3.
Key Points
Therefore, the correct answer is Darkness descending from the sky.
Additional Information
Einstein was horrified at the:
abuse of atomic energy
sudden rise in temperatures
environmental pollution
biological changes in animals
Correct answer
abuse of atomic energy
Why this answer is correct
The correct answer is Option 1.
Key Points
Therefore, the correct answer is abuse of atomic energy.
Additional Information
What had shattered Einstein on the 6th of August 1945?
The bombing of Nagasaki
The bombing of America
The bombing of all Japanese cities
The bombing of Hiroshima
Correct answer
The bombing of Hiroshima
Why this answer is correct
The correct answer is Option 4.
Key Points
Therefore, the correct answer is the bombing of Hiroshima.
Additional Information
What did Einstein associate the red glow in the sky with?
The blast of bombs
The agony of war
The setting sun
The blood of humanity
Correct answer
The blood of humanity
Why this answer is correct
The correct answer is Option 4.
Key Points
Therefore, the correct answer is the blood of humanity.
Additional Information
In the following items, each passage consists of six sentences. The first sentence (S1) and the final sentence (S6) are given. The middle four sentences in each have been removed and jumbled up. These are labelled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark accordingly on the Answer Sheet.
S1: A devastating earthquake had hit Mexico city.
P: Fifty more were later judged dangerously close to falling.
Q: The quake's force was measured at 7.8 on the Richter scale.
R: In four chaotic minutes, an estimated 250 buildings collapsed in downtown Mexico city.
S: It was the world's most severe quake since the quake in Chile last March.
S6: The condition of 1000 others was reported unsafe.
SRPQ
QSRP
PQSR
RPQS
Correct answer
QSRP
Why this answer is correct
The correct answer is "QSRP"
Key Points
Thus, option 2 is the correct answer.
Correct paragraph: S1 A devastating earthquake had hit Mexico city. Q The quake's force was measured at 7.8 on the Richter scale. S It was the world's most severe quake since the quake in Chile last March. R In four chaotic minutes, an estimated 250 buildings collapsed in downtown Mexico city. P Fifty more were later judged dangerously close to falling. S6 The condition of 1000 others was reported unsafe.
In the following items, each passage consists of six sentences. The first sentence (S1) and the final sentence (S6) are given. The middle four sentences in each have been removed and jumbled up. These are labelled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark accordingly on the Answer Sheet.
S1: Pasteur began his fruitful scientific investigations when he was Professor of Chemistry at Strasburg.
P: He also found how germs causing changes in materials could be controlled by heat.
Q: He made a thorough study of the wine industry in France.
R: He thus saved the wine industry from ruin by his work.
S: After careful and extensive investigation he produced the germ theory of fermentation.
S6: The pasteurization process which he prescribed for wine and beer is used now to safeguard milk too
PQRS
QPSR
SQPR
QSPR
Correct answer
SQPR
Why this answer is correct
The correct answer is "SQPR"
Key Points
Thus, option 3 is the correct answer.
Correct paragraph: S1 Pasteur began his fruitful scientific investigations when he was Professor of Chemistry at Strasburg. S After careful and extensive investigation he produced the germ theory of fermentation. Q He made a thorough study of the wine industry in France. P He also found how gem1s causing changes in materials could be controlled by heat. R He thus saved the wine industry from ruin by his work. S6 The pasteurization process which he prescribed for wine and beer is used now to safeguard milk too.
In the following items, each passage consists of six sentences. The first sentence (S1) and the final sentence (S6) are given. The middle four sentences in each have been removed and jumbled up. These are labelled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark accordingly on the Answer Sheet.
S1: It was in 264 B.C. that the great struggle between Rome and Carthage, the Punic Wars began.
P: It gradually developed into a struggle for the possession of Sicily.
Q: The advantage of the sea was at first with the Carthagians.
R: The First Punic War began in that year about the pirates of Messina.
S: They had great fighting ships of what was hitherto an unheard-of size.
S6: But the Romans, with extraordinary energy, set themselves to outbuild the Carthagians.
RQSP
RPQS
PRSQ
QSPR
Correct answer
RPQS
Why this answer is correct
The correct answer is "RPQS"
Key Points
Thus, option 2 is the correct answer.
Correct paragraph: S1 It was in 264 B.C. that the great struggle between Rome and Carthage, the Punic Wars began. R The First Punic War began in that year about the pirates of Messina. P It gradually developed into a struggle for the possession of Sicily. Q The advantage of the sea was at first with the Carthagians. S They had great fighting ships of what was hitherto an unheard-of size. S6 But the Romans, with extraordinary energy, set themselves to outbuild the Carthagians.
In the following items, each passage consists of six sentences. The first sentence (S1) and the final sentence (S6) are given. The middle four sentences in each have been removed and jumbled up. These are labelled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark accordingly on the Answer Sheet.
S1: Happiness, after all, is an inner state of mind.
P: Some of the most miserable persons I have come across in my life are rich.
Q: It is little dependent on outside environment.
R: Happiness has very little to do, for instance, with whether you are rich or not rich.
S: It is true that poverty makes one miserable in a very acute way.
S6: My point is that it is not wealth but coordination of one's thought and action which removes inner conflicts.
SPQR
QPSR
RSPQ
QRSP
Correct answer
QRSP
Why this answer is correct
The correct answer is "QRSP"
Key Points
Thus, option 4 is the correct answer.
Correct paragraph: S1 Happiness, after all, is an inner state of mind. Q It is little dependent on outside environment. R Happiness has very little to do, for instance, with whether you are rich or not rich. S It is true that poverty makes one miserable in a very acute way. P Some of the most miserable persons I have come across in my life are rich. S6 My point is that it is not wealth but coordination of one's thought and action which removes inner conflicts.
Fill in the blank with the most appropriate choice
When you try to be _______ you altogether cease to be useful.
facetious
fastidious
fortuitous
frugal
Correct answer
facetious
Why this answer is correct
The correct answer is 'facetious'.
Key Points
Therefore, the correct answer is ‘Option 1’.
Complete Sentence: When you try to be facetious you altogether cease to be useful.
Additional Information
Fill in the blank with the most appropriate choice
He was referring to my counter-argument about the ___________ of low-carbohydrate diets.
efficacy
elegy
entitlement
eulogy
Correct answer
efficacy
Why this answer is correct
The correct answer is 'efficacy'.
Key Points
Therefore, the correct answer is ‘Option 1’.
Complete Sentence: He was referring to my counter-argument about the efficacy of low-carbohydrate diets.
Additional Information
Fill in the blank with the most appropriate choice
But does not the past __________ those of us who are Preachers and Teachers?
abate
adulterate
admonish
aggrandize
Correct answer
admonish
Why this answer is correct
The correct answer is 'admonish'.
Key Points
Therefore, the correct answer is 'Option 3'.
Complete Sentence: But does not the past admonish those of us who are Preachers and Teachers?
Additional Information
Fill in the blank with the most appropriate choice
The incredibly ____________ response would need a billboard, not a placard, for presentation.
copious
convoluted
craven
credulous
Correct answer
convoluted
Why this answer is correct
The correct answer is ‘convoluted’.
Key Points
Therefore, the correct answer is ‘Option 2’.
Complete Sentence: “The incredibly convoluted response would need a billboard, not a placard, for presentation.”
Additional Information
Choose the appropriate word to fill in the blank:
The man seems _____ because he frequently laughs loudly for no reason.
happy
cheerful
abnormal
admirable
Correct answer
abnormal
Why this answer is correct
The correct answer is "abnormal".
Key Points
Therefore, the correct answer is "option 3".
Additional Information
Language is not a cultural artifact that we learn the way we learn to tell time or how the federal government works. Instead, it is a distinct piece of the biological makeup of our brains. Language is a complex, specialized skill, which develops in the child spontaneously, without conscious effort or formal instruction, is deployed without awareness of its underlying logic, is qualitatively the same in every individual, and is distinct from more general abilities to process information or behave intelligently. For these reasons some cognitive scientists have described language as a psychological faculty, a mental organ, a neural system, and a computational module. But I prefer the admittedly quaint term “instinct”. It conveys the idea that people know how to talk in more or less the sense that spiders know how to spin webs. Web-spinning was not invented by some unsung spider genius and does not depend on having had the right education or on having an aptitude for architecture or the construction trades. Rather, spiders spin spider webs because they have spider brains, which give them the urge to spin and the competence to succeed. Although there are differences between webs and words, I will encourage you to see language in this way, for it helps to make sense of the phenomena we will explore.
Thinking of language as an instinct inverts the popular wisdom, especially as it has been passed down in the canon of the humanities and social sciences. Language is no more a cultural invention than is upright posture. It is not a manifestation of a general capacity to use symbols: a three-year-old, we shall see, is a grammatical genius, but is quite incompetent at the visual arts, religious iconography, traffic signs, and the other staples of the semiotics curriculum. Though language is a magnificent ability unique to Homo sapiens among living species, it does not call for sequestering the study of humans from the domain of biology, for a magnificent ability unique to a particular living species is far from unique in the animal kingdom.
Some kinds of bats home in on flying insects using Doppler sonar.
Some kinds of migratory birds navigate thousands of miles by calibrating the positions of the constellations against the time of day and year. In nature’s talent show, we are simply a species of primate with our own act, a knack for communicating information about who did what to whom by modulating the sounds we make when we exhale.
Once you begin to look at language not as the ineffable essence of human uniqueness but as a biological adaptation to communicate information, it is no longer as tempting to see language as an insidious shaper of thought, and, we shall see, it is not. Moreover, seeing language as one of nature’s engineering marvels – an organ with “that perfection of structure and co-adaptation which justly excites our admiration,” in Darwin’s words – given us a new respect for your ordinary Joe and the much-maligned English language (or any language). The complexity of language, from the scientist’s point of view, is part of our biological birthright; it is not something that parents teach their children or something that must be elaborated in school – as Oscar Wilde said, “Education is an admirable thing, but it is well to remember from time to time that nothing that is worth knowing can be taught.” A preschooler’s tacit knowledge of grammar is more sophisticated than the thickest style manual or the most state-of-the-art computer language system, and the same applies to all healthy human beings, even the notorious syntax-fracturing professional athlete and the, you know, like, inarticulate teenage skateboarder. Finally, since language is the product of a well-engineered biological instinct, we shall see that it is not the nutty barrel of monkeys that entertainer-columnists make it out to be.
What can be inferred from the author's discussion of spiders spinning webs in comparison to humans learning language?
A. Language, like web-spinning, is a skill acquired through education.
B. Both web-spinning in spiders and language acquisition in humans are instinctual processes.
C. Language requires formal instruction while web-spinning is purely instinctive.
D. Web-spinning is more complex than human language.
Correct answer
B. Both web-spinning in spiders and language acquisition in humans are instinctual processes.
Why this answer is correct
Correct Answer: B
Explanation:
The author draws a direct comparison between web-spinning in spiders and language acquisition in humans to suggest that both are instinctual behaviors. Just as spiders are born with the ability to spin webs, humans are naturally equipped to acquire language. This supports the notion that language, like web-spinning, does not depend on education or cultural learning but is biologically programmed.
Why Other Options are Incorrect:
Which of the following, if true, would most strengthen the author’s argument that language is an instinct rather than a cultural construct?
A. Studies show that children learn languages faster when taught by parents in a structured setting.
B. New research reveals that young children across various cultures develop complex grammatical skills without formal instruction.
C. Evidence shows that different cultures have completely different systems of communication, implying that language is culture-dependent.
D. Research suggests that artistic abilities and language development are correlated in early childhood.
Correct answer
B. New research reveals that young children across various cultures develop complex grammatical skills without formal instruction.
Why this answer is correct
Correct Answer: B
Explanation:
This option supports the author’s claim by showing that children in different cultural contexts develop language skills without instruction, which aligns with the argument that language acquisition is a biological process. This reinforces the idea that language is instinctual, emerging naturally in all humans regardless of cultural differences or teaching.
Why Other Options are Incorrect:
Which of the following, if true, would most weaken the author’s claim that language is a biological instinct?
A. Researchers discover that children in isolated cultures with minimal exposure to language struggle to develop complex linguistic skills.
B. New evidence shows that formal language instruction accelerates the development of grammatical accuracy in children.
C. Studies find that language ability is correlated with general intelligence and cognitive skills.
D. Anthropologists find that certain tribal societies have no written language but are still able to communicate effectively through speech.
Correct answer
A. Researchers discover that children in isolated cultures with minimal exposure to language struggle to develop complex linguistic skills.
Why this answer is correct
Correct Answer: A
Explanation:
If children in isolated cultures cannot develop language without external exposure, it would suggest that language is not purely an instinct but also requires environmental factors for development. This directly weakens the author’s argument that language is biologically ingrained and develops naturally, like other instinctual behaviors.
Why Other Options are Incorrect:
What is the tone of the author in the passage?
A. Critical and dismissive
B. Analytical and respectful
C. Passionate and emotional
D. Sarcastic and humorous
Correct answer
B. Analytical and respectful
Why this answer is correct
Correct Answer: B
Explanation:
The author’s tone is analytical as they delve deeply into the idea of language as an instinct, comparing it with other instinctual behaviors. The tone is also respectful toward the complexity and biological nature of language, highlighting its significance without diminishing other perspectives.
Why Other Options are Incorrect:
What is the central idea of the passage?
A. Language is a cultural invention that humans develop through formal education and instruction.
B. Language is an innate biological instinct that develops naturally in humans, similar to other instinctual behaviors in animals.
C. Language is a product of general intelligence and cognitive development.
D. Language is a manifestation of a broader symbolic system that humans develop as part of cultural growth.
Correct answer
B. Language is an innate biological instinct that develops naturally in humans, similar to other instinctual behaviors in animals.
Why this answer is correct
Correct Answer: B
Explanation:
The central idea of the passage is that language is an instinctual, biological process in humans, not a learned or cultural construct. The author draws parallels with instinctual behaviors in animals to argue that language develops naturally without formal education and is part of human biology.
Why Other Options are Incorrect:
100 questions in the full paper