12 is related to 16 following a certain logic. Following the same logic, 18 is related to 24. Which of the following numbers is related to 28 using the same logic?
- ((a))
21
- ((b))
22
- ((c))
23
- ((d))
24
Show Answer
21
200 questions · 120 minutes · with answers · free
12 is related to 16 following a certain logic. Following the same logic, 18 is related to 24. Which of the following numbers is related to 28 using the same logic?
21
22
23
24
21
In a certain code language, ‘FEED’ is written as ‘24’, and ‘ACCOUNT’ is written as ‘42’.
How will ‘PIZZA’ be written in that language?
38
36
40
30
38
Identify the figure given in the options which when put in place of ‘?’ will logically complete the series.






Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some snacks are meals.
All juices are snacks.
Conclusions:
I. All juices can never be meals.
II. All meals are snacks.
Only Conclusion II follows.
Both Conclusions I and II follow.
Only Conclusion I follows.
Neither Conclusion I nor II follows.
Only Conclusion II follows.
Which letter cluster will replace the question mark (?) to complete the given series?
YFJW, BJEC, ?, HRUO, KVPU
EHSI
TDFI
NWRF
ENZI
EHSI
Which of the following numbers will replace the question mark (?) in the given series?
192, 185, 171, ?, 122, 87
149
147
151
150
149
A dice has its faces named by letters B, C, D, R, S and T. Two positions of the same dice are given below. Which face is opposite to face R?

D
B
T
S
D
Anil starts from point A and drives 8 km towards North. He then takes a right turn, drives 2 km, turns right and drives 11 km. He then takes a right turn and drives 5 km. He takes a final right turn, drives 3 km and stops at point P. How far (shortest distance) and towards which direction should he drive in order to reach point A again? (All turns are 90 degrees turns only unless specified.)
3 km towards East
2 km towards East
2 km towards West
3 km towards North
3 km towards East
Point A is 35 m to the east of Point B. Point C is 48 m to the north of Point A. Point D is 23 m to the east of Point C. Point D is 14 m to the north of Point E. Point E is 48 m to the east of Point F. In which direction is Point F with respect to Point A?
North-east
North
East
North-west
North-east
Which of the following letter-clusters will replace the question mark (?) in the given series?
AM, DK, GI, JG, ?
NE
ND
MD
ME
NE
If ‘A’ stands for ‘+’, ‘B’ stands for ‘−’, ‘C’ stands for ‘×’ and ‘D’ stands for ‘÷’, what will come in place of the question mark (?) in the following equation?
6 C 7 C 8 B 71 A 11 B 32 C 2 = ?
198
228
212
192
198
The sequence of folding a paper and the manner in which the folded paper is cut is shown in the following figures. How would this paper look when unfolded?












Which of the following numbers will replace the question mark (?) in the given series?
6, 10, 15, 21, ?, 36, 45
30
31
28
26
30
Select the option that is related to the third word in the same way as the second word is related to the first word.
(The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/ vowels in the word.)
Summon : Call :: Disperse : ?
Surround
Remove
Spread
Disappear
Surround
If ‘A’ stands for ‘+’, ‘B’ stands for ‘−’, ‘C’ stands for ‘×’ and ‘D’ stands for ‘÷’, what will come in place of the question mark (?) in the following equation?
74 A (17 C 2 B 24) D 2 A 16 C 3 B 8 = ?
119
134
128
109
119
Select the Venn diagram that best illustrates the relationship between the following classes.
Teacher, Guitarist, Lawyer





If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–’, what will come in place of the question mark (?) in the following equation?
8 B 9 C 49 A 7 D 25 = ?
25
54
57
62
25
In a certain code language, ‘god is great’ is coded as ‘tg so rf’ and ‘we love god’ is coded as ‘ae rf xd’. How is ‘god’ coded in that language?
xd
rf
tg
ae
xd
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
UNREAL : MCHVSA :: CREATE : FVDIWI :: AROUND : ?
FPXSWF
FQXSWG
EPXSXE
EPXSWG
FPXSWF
A dice has letters M, Q, R, S, T and V on its sides. Two different positions of the same dice are shown below. Select the letter that will be on the face opposite to the one having V.

Q
M
S
T
Q
Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster does not belong to that group?
(Note: The odd letter-cluster is not based on the number of consonants/vowels or their position in the letter-cluster.)
QNR
TQV
NKP
KHM
QNR
Three different positions of the same dice are given. Find the number on the face opposite to the face showing ‘4’.

5
2
1
6
5
Select the number from among the given options that can replace the question mark (?) in the following series.
45, 46, 50, 59, 75, ?
95
100
105
90
95
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(128, 62, 190)
(114, 86, 200)
(98, 68, 146)
(102, 73, 165)
(95, 54, 149)
(106, 69, 195)
(98, 68, 146)
Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.






Which of the following terms will replace the question mark (?) in the given series?
RJO, SKP, TLQ,?
GRS
MRW
UMR
HKL
GRS
Six students - A, B, C, D, E and F - are sitting around a circular table, facing the centre.
A is the immediate neighbour of both E and F.
B is sitting second to the right of E.
D is sitting third to the left of F.
C is the immediate neighbour of both B and F.
Who among the following is the immediate neighbour of both A and D?
E
B
C
F
E
In a certain code language, 'APPLE' is coded as 250 and 'BERRY' is coded as 340. How will 'LITCHI' be coded in the same language?
330
306
305
350
330
In a certain code language,
‘A+ B’ means ‘A is the father of B’
‘A – B’ means ‘B is the sister of A’
‘A x B’ means ‘A is the wife of B’
‘A ÷ B’ means ‘A is the mother of B’
Based on the above, how is L related to K if ‘N x M − K ÷ L + P’?
Mother
Father
Brother
Son
Mother
Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.






Find the two signs to be interchanged to make the following equation correct.
6 + 3 × 8 − 12 ÷ 4 = 4
÷ and −
− and +
÷ and ×
÷ and −
Identify the figure given in the options which when put in place of (?) will logically complete the series.






Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.






Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(16, 48 , 4)
(24, 72, 6)
(21, 61, 6)
(20, 60, 6)
(21, 60, 5)
(20, 60, 5)
(21, 61, 6)
Select the option that indicates the correct arrangement of the given words in the order in which they appear in an English dictionary.
1- Perplex
2- Peroration
3- Perpetrate
4- Perpetuity
5- Perpetual
2, 3, 5, 4, 1
1, 2, 4, 3, 5
3, 2, 4, 5, 1
4, 2, 5, 3, 1
2, 3, 5, 4, 1
Which of the following numbers will replace the question mark (?) in the given series?
80, 101, 120, ?, 168
143
147
145
149
143
In a code language, ‘MARS’ is written as ‘KXPP’, and ‘BODY’ is written as ‘ZLBV’. How will ‘TEST’ be written in that language?
RBQQ
RQBQ
QQRB
QRQB
RBQQ
Which of the following interchanges of signs would make the given equation correct?
40 + 45 × 5 – 12 ÷ 4 = 1
÷ and ×
− and ×
− and +
÷ and ×
Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some streams are rivers.
Some rivers are oceans.
Conclusions:
I. Some streams are oceans.
II. All rivers are oceans.
Only conclusion I follows
Both conclusions I and II follow
Only conclusion II follows
Neither conclusion I nor II follows
Only conclusion I follows
Select the pair which is related to each other in the same way as the following - 72 ∶ 27
27 ∶ 45
56 ∶ 33
32 ∶ 14
48 ∶ 24
27 ∶ 45
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
5, 6, 3, 1, 4, 2
6, 5, 3, 1, 4, 2
6, 3, 5, 1, 2, 4
5, 3, 6, 1, 2, 4
5, 6, 3, 1, 4, 2
In a certain code language,
'A × B' means ‘A is the son of B’,
'A – B' means ‘A is the brother of B’,
'A + B' means ‘A is the wife of B’,
'A % B' means ‘A is the father of B’.
How is M related to T if ‘M × N + P – S % T’?
Wife's father's brother
Father's brother's son
Mother's mother's brother
Mother's brother
Wife's father's brother
In a code language, ‘GOOD’ is written as ‘HMPB’, and ‘HALL’ is written as ‘IYMJ’. How will ‘TOOL’ be written in that language?
JUMP
PUMJ
UPJM
UMPJ
JUMP
Select the figure from among the given options that can logically replace the question mark (?) in the following series.






Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All cards are plastics.
Some plastics are woods.
Conclusions:
I. Some cards are woods.
II. No card is a wood.
Only conclusion II follows
Neither conclusion I nor II follows
Only conclusion I follows
Either conclusion I or II follows
Only conclusion II follows
Which two signs should be interchanged to make the given equation correct?
16 × 121 ÷ 11 + 4 − 10 = 50
− and ÷
÷ and +
If ‘A’ stands for ‘÷’ , ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–‘, what will come in place of the question mark in the following equation?
8 B 9 C 49 A 7 D 25 = ?
44
52
54
56
44
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(195, 65, 13)
(255, 85, 17)
(280, 95, 19)
(285, 95, 19)
(285, 90, 19)
(285, 95, 21)
(280, 95, 19)
In a code language, 'HOPE' is coded as ‘FRRL’ and 'TAIL' is coded as ‘MKDX’. How will 'STORY' be coded in the same language?
ZRTXX
ZTRYY
ZRTYY
ZTRXX
ZRTXX
A dice has its faces marked by symbols θ, δ, ω, ε, η and %. Two positions of the same dice are given below. Which face is opposite to face %?

η
θ
ω
ε
η
Indian Classical Dance is an umbrella under which various performing arts whose theory and practice can be traced to the Sanskrit text, Natya-Shastra, the foundational treatise by:
Bhasa
Panini
Patanjali
Bharata Muni
Bhasa
In which of the following years did Antoine Lavoisier discover the law of conservation of mass and state that mass is conserved in a chemical reaction?
1786
1787
1788
1789
1786
Who described the algae Spirogyra in 1674 and named the motile organisms Animalcules, meaning ‘little animals’?
Maurice Wilkins
Anton Van Leeuwenhoek
Robert Remak
Barthelemy Dumortier
Maurice Wilkins
What was the main purpose of establishing the Agricultural Prices Commission in 1965?
To determine the prices for various farm products purchased by the government
To determine the price of fertiliser and electricity paid by farmers
To determine the price of seeds used in agriculture
To determine the prices for various farm products for sale in the open market
To determine the prices for various farm products purchased by the government
Dalkhai is a popular folk dance of:
Bihar
Uttar Pradesh
Odisha
Punjab
Bihar
Which festival is popularly known as the festival of light?
Bihu
Navratri
Diwali
Holi
Bihu
Which Article specifies the procedure for amending the Indian Constitution?
Article 367
Article 368
Article 365
Article 366
Article 367
Who among the following stated in 1902, India was not ruled for its benefit, but rather for the benefit of its conquerors?
Bal Gangadhar Tilak
Lala Lajpat Rai
Annie Besant
Sarojini Naidu
Bal Gangadhar Tilak
The 35th National Games were held in the state of _______.
Gujarat
Kerala
Assam
Jharkhand
Gujarat
As per the National Multidimensional Poverty Index Report 2023, which of the following states has the least population concentration in the Multidimensional poverty index?
Tamil Nadu
Kerala
Goa
Sikkim
Tamil Nadu
Pt. Shiv Kumar Sharma, an accomplished Santoor player, originally hails from the State /UT of:
Jammu and Kashmir
Lakshadweep
Assam
Himachal Pradesh
Jammu and Kashmir
Tattvabodhini Patrika promoted the study of India’s past in which language?
Sanskrit
Bengali
Hindi
English
Sanskrit
Shovana Narayan has been honoured with the Padma Shri for her contribution to which Indian dance form?
Kathakali
Kathak
Kuchipudi
Odissi
Kathakali
One mole of Aluminium Sulphate Al2(SO4)3 contains:
4 moles of oxygen atoms
3 moles of oxygen atoms
12 moles of oxygen atoms
6 moles of oxygen atoms
4 moles of oxygen atoms
According to Dr. BR Ambedkar’s views, which of the following is the key feature of the Directive Principles of the Constitution?
Basic law
Mandatory feature
Novel feature
Basic feature
Basic law
What is the national male workforce participation rate as per the Census of India 2011?
53.26%
51.26%
50.26%
52.26%
53.26%
The Battle of Kannauj was fought between Sher Shah Suri and the Mughals led by _______________.
Humayun
Jehangir
Aurangzeb
Akbar
Humayun
Which of the following is the longest Highway Tunnel in India (as of 2022)?
Atal Tunnel
Pir Panjal Tunnel
Karbude Tunnel
Jawahar Tunnel
Atal Tunnel
Brij Bhushan Kabra was considered an expert in which of the following instruments in the field of Indian classical music?
Veena
Guitar
Santoor
Violin
Veena
Identify the option that contains the correct sequence of Indian states in terms of decreasing average annual rainfall.
Rajasthan > Assam > Bihar
Haryana > Bihar > Rajasthan
Assam > Bihar > Rajasthan
Uttar Pradesh > Bihar > West Bengal
Rajasthan > Assam > Bihar
Who among the following was the founding president of the Indian Olympic Association?
Dadabhai Naoroji
Jamsetji Tata
AG. Noehren
Dorabji Tata
Dadabhai Naoroji
Which Article of the Indian Constitution mentions that a person may be appointed as the Governor of two or more states?
Article 153
Article 150
Article 151
Article 152
Article 153
Who among the following are eligible for free legal aid under the National Legal Services Authority?
A. A member of a Scheduled Caste or Scheduled Tribe.
B. A victim of trafficking in human beings or beggar as referred to in Article 23 of the Constitution
C. An industrial workman
D. A person under circumstances of undeserved want such as being a victim of a mass disasters
E. To file any case in Supreme Court, if any person need free legal aid, the person’s annual income must be below 10 lakhs.
B, C and D only
A, B, C, D and E
A, B, C and D only
A, B and E only
B, C and D only
Which unit is used to measure the concentration of contaminants in soil and sediment?
PPBB
TDS
DPMO
PPM
PPBB
A Flight of Pigeons is a famous book written by ___________.
Ruskin Bond
Salman Rushdie
Khushwant Singh
Vikram Seth
Ruskin Bond
Devanampriya Piyadasi is another name for whom among the following Mauryan kings?
Samprati
Ashoka
Shatadhanvan
Bindusara
Samprati
To what phylum does a blood sucking leech belong?
Aschelmenthis
Cnidarian
Platyhelminthes
Annelida
Aschelmenthis
Which bacteria have a thick cell wall with several layers of peptidoglycan and teichoic acid?
Salmonella enterica
Staphylococcus aureus
Pseudomonas aeruginosa
Escherichia coli
Salmonella enterica
How much percentage of the capital of MUDRA is contributed by SIDBI?
75
100
50
90
75
The inaugural edition of the National Beach Soccer Championship was held at _________ in 2023.
Surat
Daman
Diu
Goa
Surat
Which of the following statements is correct about ‘Loo’ winds in the context of the Indian climate?
They blow in the winter and rainy season.
They blow in the summer season.
They blow in the winter season.
They blow in the rainy season.
They blow in the winter and rainy season.
Which of the following was NOT an advantage of privatisation?
Additional source of revenue for the government
Low interference of political motives
Overall improved performance
Reduced competition
Additional source of revenue for the government
What is the name of the northern part of the western coastal plain between Mumbai and Goa?
Konkan coast
Coromandel coast
Malabar coast
Kannad plain
Konkan coast
Choose the correct statement about the peninsular rivers.
a. The Narmada rises in the Malwa plateau.
b. The Godavari rises from the slopes of the Western Ghats near Nashik.
c. The Mahanadi rises in the highlands of Chhattisgarh.
d. The Krishna rises from a spring near Mahabaleshwar.
Only b, c and d
Only a, b and c
a, b, c and d
Only a, c and d
Only b, c and d
Which of the following mountains of India is famous for tea and coffee production?
Aravali
Vidhyanchal
Himalaya
Nilgiri
Aravali
The ___________ project has been organised by the Central government for the villagers, to conserve water for drinking, irrigation, fisheries and afforestation.
Neeru-Meeru
Haryali
Chipko andolan
Arvary Pani Sansad
Neeru-Meeru
Which of the following is an INCORRECTLY stated social impact of the Green Revolution?
Primarily, the medium and large farmers were benefited
Worsened the condition of landless and marginal farmers
Only farmers involved in subsistence agriculture were benefitted
There was displacement of service caste group
Primarily, the medium and large farmers were benefited
Who among the following is the author of the book ‘The Oath of the Vayuputras’?
Indrapramit Das
Vikram Chandra
Amish Tripathi
Ravi Subramanian
Indrapramit Das
Who among the following is a famous personality of the dance form Mohiniyattam?
Sitara Devi
Damayanti Joshi
Pandit Birju Maharaj
Sunanda Nair
Sitara Devi
The Carnatic classical vocalist and first ever musician to receive the Bharat Ratna award, also known as ‘Queen of songs’, is _________.
Shubha Mudgal
Girija Devi
MS Subbulakshmi
Gangubai Hangal
Shubha Mudgal
Which amongst the following statements about the Indian social reformers of the 19th century is INCORRECT?
Ishwar Chandra Vidyasagar was the founder of the Brahmo Samaj.
The Aligarh Movement was started by Sir Syed Ahmad Khan in 1875.
Mahadev Govind Ranade is associated with the Poona Sarvajanik Sabha
Dayanand Saraswati founded the Arya Samaj in 1875.
Ishwar Chandra Vidyasagar was the founder of the Brahmo Samaj.
Which part of the bifocal lens facilitates near vision?
Lower part with concave lens
Upper part with convex lens
Lower part with convex lens
Upper part with concave lens
Lower part with concave lens
2-Methylpropan-2-ol is commonly known as:
tert-butyl alcohol
prim-propyl alcohol
ethyl alcohol
methanol
tert-butyl alcohol
Why are the intermediate goods NOT included in the National Income?
For the prevention of double accounting.
Intermediate goods decreases the income.
Intermediate goods are not reliable.
Intermediate goods increases the income.
For the prevention of double accounting.
In Andhra region, who among the following translated a few portions of Mahabharata in Telugu?
Nanniah
Tikkanna
Kamban
Pampa
Nanniah
Which of the following is the main active ingredient of clove oil?
Eugenol
Curcuma
Malic acid
Tartaric acid
Eugenol
Which Article of the Indian Constitution mentions about the salaries and allowances of members of the Legislative Assembly and the Legislative Council of a state?
Article 199
Article 198
Article 195
Article 194
Article 199
The 42nd Amendment of the Indian Constitution (1976) states that India is a/an ____________ nation.
aristocratic
oligarchic
capitalist
secular
aristocratic
The Tableau of which of the following states was given the title of ‘Best Tableau’ on Republic Day, 2023, which was themed as ‘Manaskhand’?
Uttarakhand
Bihar
Jharkhand
Assam
Uttarakhand
In which year was the Department of Sports transformed into the Department of Youth Affairs and Sports?
1984
1985
1983
1982
1984
The simple interest on a certain sum for 4 years at 14% per annum is Rs. 6,160 less than the simple interest on the same sum at the same rate for 8 years. Find the sum.
Rs. 9,000
Rs. 12,000
Rs. 11,000
Rs. 10,000
Rs. 9,000
Simplify the following.
\( \frac{2\left{3+3\left(\frac{1}{4} \div \frac{15}{20}+2\right)-18 \times \frac{1}{3}\right}}{2(4+20 \div 4)} \)
Simplify the following expression.
(4.2 of 2.5 ÷ 3.5) − (3.6 ÷ 2.4 + 2.5 of 3 ÷ 7.5) + (6 − 3 of 2 + 4 of 3 ÷ 6)
4.5
3.5
1.5
2.5
4.5
If 56 ÷ 4 + p × 3 – 24 ÷ 12 + 4 = 21 ÷ 3 + 3, then the value of p is:
2
1
-1
-2
2
Find the value of .
1
2
1
Tarun is twice as good as Tripti in doing a work. Together, they can complete the work in 16 days. In how many days can Tripti alone complete the same work?
48
24
50
25
48
A shopkeeper kept the marked price of an item at Rs. 500. He sold it at a scheme discount of 10% and 20% and got a profit of 25%. What was the cost price of the item?
Rs. 188
Rs. 482
Rs. 288
Rs. 384
Rs. 188
If A, B and C are the interior angles of ΔABC, then what is the value of ({\tan \frac{{A}}{2}-\operatorname{cosec} \frac{B+C}{2}} \) ?
-1
2
-2
1
-1
Simplify
13.5 - [5 + 0.5 × (9 - 3 × 2)]
5
7
6
8
5
The volume of a right circular cone is 150π cm3 and its height is 18 cm. Find its slant height (in cm) (correct to 2 decimal places).
28.68
25.35
15.25
18.68
28.68
The percentage of marks obtained by six students in five different subjects in an examination and the maximum marks in each subject (in parenthesis) are given in the following table.
| Student | Hindi (150) | English (100) | Geography(175) | Mathemati cs (120) | Physics (75) |
|---|---|---|---|---|---|
| P | 85 | 56 | 65 | 82 | 90 |
| Q | 76 | 84 | 52 | 84 | 76 |
| R | 89 | 98 | 67 | 60 | 56 |
| S | 82 | 64 | 56 | 70 | 80 |
| T | 58 | 68 | 78 | 68 | 71 |
| U | 64 | 75 | 94 | 64 | 60 |
What was the aggregate of marks obtained by S in all the five subjects?
324
429
356
405
324
The value of 72 ÷ 8 − 210 ÷ 15 − 5 + 2 × 5 is:
3
0
1
2
3
Find the value:
[9 + 3 - 2{(4 ÷ ) - 4} + 81 ÷ 9 + 81 ÷ 9 + 3 - 9] + 9
3
9
6
0
3
Study the following table chart carefully and answer the question that follows.
The table given below shows the number of registered voters and the percentage of the people who voted among them in different voting centres.
| Centres | Total number of Registered Voters | Percentage of people who voted |
|---|---|---|
| Centre 1 | 26000 | 70% |
| Centre 2 | 28000 | 60% |
| Centre 3 | 25000 | 80% |
| Centre 4 | 30000 | 76% |
According to the table given above, which centre has the maximum number of voting?
Centre 1
Centre 3
Centre 2
Centre 4
Centre 1
The distance between the parallel sides of a trapezium is 18 cm. If the area of the trapezium is 1188 cm2, then what is the sum of the lengths of the parallel sides?
115 cm
126 cm
132 cm
150 cm
115 cm
Simplify
1 - cos A cot A
1 - sin A tan A
1 - sin A cos A
1 - tan A sec A
1 - cos A cot A
The table below shows employees of a company in 5 different towns over the period of 5 years.
| Year | Town | ||||
|---|---|---|---|---|---|
| Hyderabad | Punjab | Pune | Kolkata | Delhi | |
| 2016 | 520 | 325 | 152 | 425 | 545 |
| 2017 | 680 | 475 | 250 | 765 | 645 |
| 2018 | 874 | 850 | 179 | 857 | 820 |
| 2019 | 745 | 780 | 375 | 856 | 765 |
| 2020 | 954 | 822 | 425 | 880 | 923 |
Note: All figures are fictitious.
Employees from Pune in 2018 are what per cent of the total employees of all towns together in that year?
3%
6%
4%
5%
3%
Simplify.
22.0625 – [15 + 0.25 × (4.78 – 1.5 × 3.02)]
7.1
7.3
7.2
7.0
7.1
A school has four sections A, B, C, D of class x students. The results of half yearly and annual examinations are shown in the table given below:
| Result | Number of students | |||
|---|---|---|---|---|
| Section A | Section B | Section C | Section D | |
| Students failed in both exams | 25 | 22 | 18 | 20 |
| Students failed in half yearly but passed in Annual exam | 20 | 25 | 24 | 12 |
| Students passed in half yearly but failed in Annual exam | 12 | 15 | 8 | 10 |
| Students passed in both exams | 15 | 20 | 22 | 18 |
How many students are there in class X in the school?
286
256
206
226
286
A train covers a distance of 72 km in 40 minutes. Travelling at the same speed, how many metres will the train cover in 6 seconds?
210
174
192
180
210
Study the given table and answer the question that follows.
The table shows the yearly production (in thousands) of scooters in five different factories (P, Q, R, S and T) from 1985 to 1989.
Yearly production (in thousands) of scooters in different factories.
| Factory | 1985 | 1986 | 1987 | 1988 | 1989 |
|---|---|---|---|---|---|
| P | 20 | 15 | 24 | 13 | 17 |
| Q | 16 | 23 | 41 | 20 | 15 |
| R | 14 | 21 | 30 | 16 | 12 |
| S | 25 | 17 | 15 | 12 | 22 |
| T | 40 | 32 | 39 | 41 | 35 |
| Total | 115 | 108 | 149 | 102 | 101 |
In which year was the total production of scooters of all factories 20% of the total production of scooters from 1985 to 1989?
1985
1986
1988
1989
1985
The sum of any two sides of a triangle is:
less than the third side
greater than the third side
equal to third side
less than or equal to third side
less than the third side
A vessel contains 18 litres mixture of milk and water in the ratio 5 : 1. If 3 litres of milk is added to the vessel, then how much water (in litres) should be added to the vessel to have milk and water in the ratio 9 : 2?
2
1.5
1
0.5
2
The marked price of a table is Rs. 5,980. If the shopkeeper offers a discount of 18%, what is its selling price (in Rs., to the nearest rupee)?
4,940
4,490
4,094
4,904
4,940
Ashish covers 72 km at a speed of 45 km/h by bike, 28 km at a speed of 4 km/h by bicycle, and another 160 km at a speed of 20 km/h by car. Find his average speed (in km/h) for the whole journey. (Rounded off to two decimal places)
15.66
28.33
25.25
27.65
15.66
A vegetable vendor bought 100 kg of potatoes at the rate of Rs. 19 per kg and spent Rs. 100 as cartage. He sold 60 kg of potatoes with a 50% profit and half of the remaining stock with a 40% profit. He sold half of the still remaining potatoes with a 25% profit. What profit percentage should he aim for when selling the ultimate remaining potatoes to achieve an overall profit of 42%?
0.1
0.15
0.12
0.16
0.1
If the number of school going children in a town is 64000 and it is increasing annually by 10%, then what will be the number of school going children in the town at the end of 3 years?
85000
85100
85184
80000
85000
The curved surface area of a cone is 308 cm2, and its slant height is 28 cm . Find the radius of its base. (Use )
3.5 cm
2.8 cm
3.0 cm
2.5 cm
3.5 cm
A solid metal cylinder of 12 cm height and 7 cm radius is melted and recast into two cones in the proportion of 1 : 2 (volume), keeping the height 12 cm . What would be the percentage change in the flat surface area before and after [use ] ?
45%
20%
50%
35%
45%
If sin(x + y) = 1 and , find the value of 'y'.
90°
30°
20°
60°
90°
A travels for 8 hours at the rate of 4 km/h and for 4 hours at the rate of 8 km/h. The average speed of the journey (in km/h) is:
Two trains are moving in the same direction at 60 km/h and 42 km/h. The faster train crosses a man in the slower train in 36 seconds. Find the length of the faster train.
185 m
195 m
180 m
175 m
185 m
Let a be a positive number and . What is the mean proportional of a and b ?
a
3
2
4
a
A gear 15 cm in diameter is turning a gear 21 cm in diameter. When the smaller gear has 105 revolutions, how many has the larger one made?
100
75
85
90
100
If the polynomial (2x3 + ax2 + 3x - 5) and (x3 + x2 - 2x + a) leave the same remainder when divided by (x-2), find the remainder.
4
2
3
5
4
Simplify the given expression.
13
39
The value of , θ ≠ 45° is:
sec2 θ
cot2 θ
cosec2 θ
sin2 θ
sec2 θ
If , then find the value of .
3
2
-3
0
3
If x = 11, then the value of (x5 - 12x4 + 12x3 - 12x2 + 12x - 1) is:
14
9
8
10
14
A trader sells pulses at a 32% profit and uses weights 20% less than the actual measure. Find his gain percentage.
72%
62%
58%
65%
72%
Consider the data of a certain number of activities of type P, Q, and R in the percentage of the total activities of the cities B, C, D, and K in the table below.
| City → | B | C | D | K |
|---|---|---|---|---|
| Activity ↓ | ||||
| P | 45 | 30 | 25 | 35 |
| Q | 25 | 30 | 35 | 30 |
| R | 30 | 40 | 40 | 35 |
If the total activities of B and C are 500 and 400, respectively, then what is the difference in activity R of B and C?
15
10
30
20
15
The following table shows the number of new employees added to different categories of employees in a university and also the number of employees from these categories who left the university every year:
| Professor | Assistant Professor | Associate Professor | Peon | |||||
|---|---|---|---|---|---|---|---|---|
| New | Left | New | Left | New | Left | New | Left | |
| 2018 | 80 | - | 100 | - | 90 | - | 60 | - |
| 2019 | 100 | 60 | 150 | 40 | 110 | 30 | 80 | 10 |
| 2020 | 150 | 40 | 160 | 30 | 140 | 40 | 70 | 20 |
| 2021 | 180 | 60 | 200 | 50 | 190 | 50 | 80 | 30 |
| 2022 | 200 | 80 | 220 | 60 | 220 | 60 | 90 | 40 |
What is the difference between the total number of professors added to the university and the total number of associate professors added to the university during the years 2019 to 2022 ?
40
50
120
What is the ratio between S and T if S is 75% of T?
2 ∶ 3
4 ∶ 3
75 ∶ 1
3 ∶ 4
2 ∶ 3
The area of the canvas cloth needed to erect a right conical tent of height 20ft. and circular base of circumference 30π ft. is:
375π sq.ft.
589π sq.ft.
470π sq.ft.
455π sq.ft.
375π sq.ft.
In an election between P, R and S, of the total votes polled are invalid. Votes polled in favour of R and S are half of the total votes polled, and they get equal votes. Due to a fault in the machine, half of the votes of S and half of the invalid votes are counted additionally in favour of R. What is the overall percentage of votes secured by R due to the fault?
42.5%
38.5%
41.55%
37.55%
42.5%
P can do a piece of work in 30 days and Q in 40 days. They work together for 4 days and then Q leaves. The number of days taken by P to finish the remaining work is:
28 days
23 days
30 days
7 days
28 days
Find the perimeter of a triangle with sides equal to 13 cm, 12 cm and 5 cm.
5 cm
25 cm
30 cm
15 cm
5 cm
The cost of Compressed Natural Gas (CNG) per litre is increased by 65%. By what percentage must Manish reduce his consumption of CNG so as not to increase his expenditure? (correct up to two decimal places)
25.39%
45.13%
39.39%
30.13%
25.39%
Arrange the following ratios in ascending order.
3 ∶ 4, 3 ∶ 5, 2 ∶ 11, 7 ∶ 2
3 ∶ 5 < 2 ∶ 11 < 3 ∶ 4 < 7 ∶ 2
2 ∶ 11 < 3 ∶ 5 < 3 ∶ 4 < 7 ∶ 2
7 ∶ 2 < 3 ∶ 4 < 3 ∶ 5 < 2 ∶ 11
3 ∶ 4 < 3 ∶ 5 < 2 ∶ 11 < 7 ∶ 2
3 ∶ 5 < 2 ∶ 11 < 3 ∶ 4 < 7 ∶ 2
Three circles each of radius 5 cm touch one another. The area (in cm2) subtended between them is:
Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’.
The woman to who I sold my house was a criminal.
No substitution
to whom I sold
to whom I sell
to whom sold
No substitution
Select the most appropriate meaning of the given idiom. Keep your pants on
To wear the dress neatly
To keep calm and quiet
To make things proper
To work like a tailor
To wear the dress neatly
Select the most appropriate option to substitute the underlined segment in the given sentence.
Amit is also a chip off the old block like his brother, Tandon.
getting ready for the future endeavours
planning things ahead neatly
talking to others tough like a stone
resembling his parents in character and appearance
getting ready for the future endeavours
The following sentence has been divided into four segments. Identify the segment that contains an adverbial usage error.
Mr. Sukesh and / his family / ate the / food greedy.
ate the
Mr. Sukesh and
his family
food greedy.
ate the
Select the most appropriate option that can substitute the underlined segment in the given sentence. If no substitution is required, select ‘No substitution’.
A sharp fall in the price of jute have led the poor jute farmers to the brink of starvation.
have lead the poor jute farmers
have led the poor farmers
has led the poor jute farmers
No substitution
have lead the poor jute farmers
Identify the INCORRECTLY spelt word in the given sentence and select the option that rectifies the misspelling.
There are difficult times too, especially when the economy takes a dip and we have to lai people off.
Economie
Dificult
Lay
Dipe
Economie
Select the option that can be used as a one-word substitute for the given group of words.
Someone who speaks more than one language
Heretic
Fatalist
Polyglot
Insolvent
Heretic
Choose the most appropriate meaning of the underlined phrase.
He's still keeping his chin up despite all his health problems.
To keep one’s chin clean and moist
To stay safe during difficulty
To stay cheerful during difficult times
To save others during difficult times
To keep one’s chin clean and moist
Select the most appropriate idiom that can substitute the underlined segment in the given sentence.
Reena decided not to go to work today because she was feeling sick.
under the weather
fit as a fiddle
sitting on the fence
going down in flames
under the weather
The following sentence has been divided into four segments. One of them contains an error. Select the segment that contains the error from the given options.
The people of / Jammu and Kashmir / has emphasised and / appreciated transparency.
appreciated transparency
The people of
has emphasised and
Jammu and Kashmir
appreciated transparency
Read the following passage and answer the questions that follow:
Facial recognition is based on AI technology that recognizes human faces. In fact, the technology considers a number of factors for face recognition: jawline length, the form of the cheekbones, eye sockets depth, and so on. A majority of these factors assist the technology “recall” who's the proprietor of the face. Other than unlocking your phone, facial identification brings different advantages to the agencies:
The primary component to start with is surveillance. With the assistance of face recognition technology , it will likely be less complicated to catch any burglars, thieves, or different trespassers. On the governmental level, facial recognition can help us to find out terrorists or other criminals. Face recognition is the most effective means in today’s world.
The procedure of recognizing a face takes a second or much less. Considering that facial recognition is almost instant, it offers a quick and successful verification of a person.
Based on your reading of the passage, select the most appropriate antonym of excessive:
Accurate
Lavish
Extreme
Moderate
Accurate
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
It is important to (1)________ a healthy lifestyle to maintain good physical and mental well being. Regular (2)________ helps improve cardiovascular health and boosts the immune system. Eating a balanced diet rich in (3)________ vitamins and minerals is crucial for overall health. Additionally, (4)________ stress through activities like yoga or meditation can enhance mental clarity. Getting an adequate amount of (5)________ each night is essential for restorative activity and optimum bodily functions.
Select the most appropriate option to fill in blank number 1.
adopt
adeptly
adapt
adept
adopt
Select the most appropriate meaning of the given idiom.
On thin ice
In a risky position
Communicating with friends
On a summer vacation
On an investigating job
In a risky position
Select the most appropriate synonym of the given word.
Entail
Assume
Necessitate
Eliminate
Flaw
Assume
Select the option that can be used as a one-word substitute for the given group of words.
A news article that reports the recent death of a person.
Culinary
Obituary
Centenary
Mortuary
Culinary
Select the most appropriate meaning of the given idiom.
Bread and butter
Breakfast
Sharing
Livelihood
Party
Breakfast
Select the most appropriate meaning of the given idiom.
Get itchy feet
Judge something primarily on appearance
Learn something by memorising it without a thought to what is being learnt
To start to want to travel or do something different
Join a popular trend or activity
Judge something primarily on appearance
Select the most appropriate synonym of the given word.
Fabulous
Remarkable
Resourceful
Regrettable
Restful
Remarkable
Select the most appropriate ANTONYM of the given word.
Accolade
Criticism
Tribute
Promotion
Assurance
Criticism
Read the following line from the passage and select the most appropriate option that describes it :
Considering that facial recognition is almost instant, it offers a quick and successful verification of a person.
Face recognition is uneasy and verifies a person successfully.
Face recognition is easy and verifies a person unsuccessfully.
Face recognition is not on spot and verifies a person partly.
Face recognition is fast and verifies a person successfully.
Face recognition is uneasy and verifies a person successfully.
Select the most appropriate option to fill in blank number 2.
exalt
exclaim
exertion
exercise
exalt
Select the most appropriate title for the given passage:
Hacking and Safety
AI interface
Face Recognition
Human Face
Hacking and Safety
Select the most appropriate synonym of the underlined word.
The hypothesis that the police believed in led to a lot of chaos.
speculation
breakthrough
trepidation
encounter
speculation
Select the option that can be used as a one-word substitute for the given group of words.
Words inscribed on a tomb.
Epitaph
Prologue
Epilogue
Post-script
Epitaph
Select the most appropriate ANTONYM of the underlined word.
Maria thinks the animals that live in freedom have a sad look in their eyes.
Carefree
Liberty
Surrendered
Captivity
Carefree
Select the most appropriate option that can substitute the underlined words in the given sentence.
We should not underestimate the signification of female education.
underestimate the significance
underestimate at signification
underestimate on signification
underestimate signification
underestimate the significance
Select the option that can be used as a one-word substitute for the given group of words.
The approach or style of teaching
Pedagogy
Media
Philology
Platform
Pedagogy
Select the most appropriate synonym of the given word.
Grisly
Pleasant
Atrocious
Glorious
Dire
Pleasant
What is the primary component of face recognition?
Surveillance
Verification
Identification
Locking
Surveillance
Select the most appropriate option to fill in blank number 3.
necessarily
necessity
necessitate
essential
necessarily
Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’.
Half of the property given to his sons by the businessman last year.
No substitution
Half of the property is given
Half of the property was given
Half of the property has been given
No substitution
Select the INCORRECTLY spelt word…
Irritate
Necessitate
Reciept
Hindrance
Irritate
Select the most appropriate option to fill in blank number 4.
managing
manages
management
managed
managing
Select the INCORRECTLY spelt word.
Dictionary
Reference
Infurmary
Ordinary
Dictionary
The following sentence has been split into four segments. Identify the segment that contains an error.
Ramesh licked (A) / honey and (B) / said that (C) / it tasted sweetly. (D)
D
A
B
C
D
Select the most appropriate synonym of the given word.
Concordant
Certain
Unanimous
Abnormal
Harmonious
Certain
Select the most appropriate option to fill in the blank.
She ________ her painting by this time next week.
will have finished
will finish
finishes
finished
will have finished
Identify the most appropriate ANTONYM of the underlined word in the given sentence.
The door was ajar and a faint wisp of smoke floated through it.
Itchy
Lot
Trickle
Wind
Itchy
Parts of the following sentence have been given as options. Select the option that contains an error.
Himalayas include the highest mountains in the world and feed almost 20% of the earth’s population.
almost 20% of the earth’s population.
highest mountains in
the world and feed
Himalayas include the
almost 20% of the earth’s population.
Select the most appropriate synonym of the given word.
Eagerly
Stringently
Dubiously
Keenly
Playfully
Stringently
Select the most appropriate option to fill in blank number 5.
resting
relax
slumber
sleep
resting
Underlined word in the sentence is not spelt correctly. Identify the correct spelling from the options given below.
He was a benaevolent young man who would help his colleagues.
Benavolent
Benevolent
Benevalant
Banevolent
Benavolent
Select the most appropriate idiom that can substitute the underlined segment in the given sentence.
Even after becoming bankrupt, Charlie is able to maintain an outward show.
bring down the house
keep up appearances
bell the cat
cut a sorry figure
bring down the house
Select the sentence that has the correct use of words and spellings from the options given below.
The scientiest meticulously analysed the complex data, uncovering ground-breaking insights that would revolutionice the field.
The scientist meticulusly analysed the complex data, uncovering ground-breaking insights that would revaulutionise the field.
The scientist meticulously anelysed the complex data, uncovering ground-breaking insights that would revolutionise the feild.
The scientist meticulously analysed the complex data, uncovering ground-breaking insights that would revolutionise the field.
The scientiest meticulously analysed the complex data, uncovering ground-breaking insights that would revolutionice the field.
Select the option that can be used as a one-word substitute for the given group of words.
Referring to something from the past of high quality
Epoch
Vintage
Outdated
Culture
Epoch
As per the passage which facial factors are not recognized with face recognition?
Jawline length
Face shape
Cheekbones structure
Eye sockets
Jawline length
Select the option that best explains the underlined idiom in the given sentence.
A team's captain always keeps a level head, even in the most challenging situations.
Prefers to keep his head covered with a cap
Maintains an equal number of players on the field
Remains calm and composed
Keeps his head protected with a helmet
Prefers to keep his head covered with a cap
Select the option that can be used as a one-word substitute for the given group of words.
The original inhabitants of a country
Primitive
Citizens
Aborigines
Aliens
Primitive
Select the INCORRECTLY spelt word in the given sentence.
Large-scale hunting scenes and slaugter of wild animals is a heinous crime.
Slaugter
Heinous
Scenes
Hunting
Slaugter
Select the option that can be used as a one-word substitute for the given group of words.
Fertile watery place in a desert
Obsolete
Obscure
Ode
Oasis
Obsolete
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