Simplify:
- ((a))
2
- ((b))
4
- ((c))
6
- ((d))
8
Show Answer
2
75 questions · 60 minutes · with answers · free
Simplify:
2
4
6
8
2
Arman starts from Point A and drives 61 km towards west. He then takes a right turn, drives 58 km, turns right and drives 64 km. He then takes a right turn and drives 71 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)
15 km to the south
13 km to the north
14 km to the south
12 km to the north
15 km to the south
A and B can do a piece of work in 10 days, B and C in 15 days and C and A in 20 days, C alone can do the work in :
140 days
130 days
150 days
120 days
140 days
Refer to the following number, symbol series and answer the question that follows. Counting to be done from left to right only. All numbers are single-digit numbers.
(Left) ^ 7 + > 6 $ > 2 8 4 6 \ 2 & 9 ? + ^ # < % (Right)
How many such numbers are there each of which is immediately preceded by a symbol and also immediately followed by a symbol?
Four
Three
One
Two
Four
Which of the following ratios is the greatest: 8 : 11, 5 : 7, 13 : 17, or 11 : 13?
11 : 13
5 : 7
8 : 11
13 : 17
11 : 13
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All cricketers are doctors.
All cricketers are pilots.
Conclusions:
(I) Some doctors are pilots.
(II) All pilots are cricketers.
Only conclusion (II) follows
Both conclusions (I) and (II) follow
Only conclusion (I) follows
Neither conclusion (I) nor (II) follows
Only conclusion (II) follows
In a certain code language,
'A # B' means ‘A is the daughter of B’,
'A @ B' means ‘A is the brother of B’,
'A + B' means ‘A is the wife of B’ and
'A - B' means ‘ A is the father of B’.
Based on the above, how is D related to R if ‘D @ M # S - P + R’?
Wife's father
Wife's brother
Father
Brother
Wife's father
Five friends Varun, Ankit, Neha, Adya and Ruby are of different ages. Only Adya is older than Ankit. Exactly two people are younger than Ruby. Varun is younger than Neha. How many people among them are older than Neha?
Four
Three
Two
One
Four
When a sound is produced, what travels through the medium?
The disturbance created by the sound source
The particles of the medium
Neither particles nor disturbance
Both the particles and the disturbance
The disturbance created by the sound source
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
VW−ZA
MN−QR
OP−ST
EF−HL
VW−ZA
From a point in the interior of an equilateral triangle, the length of the perpendiculars to the three sides are 18 cm, 30 cm and 39 cm respectively.
If the area of the triangle is , then find the value of .
333
336
363
306
333
Which of the following is commonly known as the Indian bee?
Apis florea
Apis cerana indica
Apis dorsata
Apis mellifera
Apis florea
What will come in place of the question mark (?) in the following equation, if '+' and '÷' are interchanged and '-' and 'x' are interchanged?
195 + 5 x 44 - 6 ÷ 320 = ?
95
91
113
109
95
24 is related to 74 following a certain logic. Following the same logic, 36 is related to 110. To which of the given options is 51 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
151
155
266
261
151
LOVE is related to QKYC in a certain way based on the English alphabetical order. In the same way, ILSG is related to NHVE. To which of the following is QNVT related, following the same logic?
UKYR
UKXQ
VJXQ
VJYR
UKYR
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. All numbers are single-digit numbers.
(Left) 1 & 5 * 3 ^ 6 £ $ 2 @ 8 % 7 4 ≺ 9 (Right)
How many such symbols are there, each of which is immediately preceded by an odd number but not immediately followed by an even number?
One
Three
Two
None
One
Three pipes P, Q and R can fill a tank in 6 hours. After working at it together for 2 hours, R is closed, and P and Q can fill the remaining part in 7 hours. Find the number of hours taken by R alone to fill the tank.
14
18
12
16
14
During a sale, 40% of the goods are sold at a 44% profit, 25% of the remaining goods are sold at a 29% profit and the rest are sold at a 39% loss. If there is an overall profit of x%, then what is the value of x?
0.044
0.075
0.15
0.105
0.044
In a certain code language,
‘A + B’ means ‘A is the mother of B’,
‘A − B’ means ‘A is the brother of B’,
‘A × B’ means ‘A is the wife of B’ and
‘A ÷ B’ means ‘A is the father of B’.
How is M related to K if ‘J × K − L ÷ M + N’?
Wife’s father
Mother’s husband
Brother’s daughter
Father’s brother
Wife’s father
If the interest earned during the 2nd year on a certain sum is ₹8063, and the rate of interest is 10% per annum compounded annually, then the sum is:
₹73300
₹73705
₹74250
₹72750
₹73300
Select the triad which follows the same pattern as that followed by the two triads given below. Both pairs follow the same pattern.
GLMT : MQQW
DQCL : JVGO
FYZN : LDEQ
HNEX : NSIB
LGTM : RLWP
IOYS : OTCV
FYZN : LDEQ
What should come in place of the question mark (?) in the given series based on the English alphabetical order?
CLW WFQ QZK KTE ?
ENT
RDF
ECD
ENY
ENT
Each of K, L, U, G, A, B and W has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. K has an exam on Tuesday. G has exam on the day immediately before U. Only three people have exams between B and L. L has exam on the day immediately before G. U has an exam on Sunday. W has exam on the day immediately after K. How many people have exams before A?
3
2
1
4
3
Mohit starts from Point A and drives 24 km towards the east. He then takes a right turn, drives 23 km, turns right and drives 26 km. He then takes a right turn and drives 27 km. He takes a final right turn, drives 2 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-degree turns only unless specified.)
2 km to the North
4 km to the South
3 km to the South
1 km to the North
2 km to the North
What is the mode of the following data?
55, 50, 48, 43, 55, 41, 54, 51, 41, 45, 53, 54, 52, 41, 49, 54, 41, 49
41
54
55
49
41
A toy is in the form of a solid cone having a radius of 5 cm and a height of 12 cm. It is mounted on a frustum of a solid cone, with the toy’s vertex pointed upwards, and the frustum’s smaller base having a radius of 5 cm. The larger base of the frustum has a radius of 22 cm. The slant height of the frustum is 32 cm. What is the total surface area (in cm2) of the toy?
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. 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 / subtracting /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).
3 - 28
9 - 730
8 - 645
5 - 124
7 - 342
1 - 2
8 - 645
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘-‘ are interchanged and ‘×’ and ‘÷’ are interchanged?
29 - 6 + 19 × 19 ÷ 8 = ?
25
28
29
27
25
In a certain code language, ‘CASH’ is coded as ‘1937’ and ‘EAHS’ is coded as ‘9163’. What is the code for ‘E’ in the given code language?
3
9
1
6
3
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.
Statements:
All speakers are radios.
No radio is a television.
Conclusions:
(I) No speaker is a television.
(II) Some televisions are radios.
Only conclusion (I) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
Only conclusion (II) follows.
Only conclusion (I) follows.
What sum (in ₹) will earn an interest of ₹480 in 3 years at 5% simple interest per year?
3200
3400
3350
3000
3200
What should come in place of the question mark (?) in the given series?
64 68 80 84 96 100 112 ?
124
118
116
120
124
Refer to the following letter series and answer the question that follows. Counting to be done from left to right only.
(Left) A Q D F H S I C X Z A Q D F H G U Z A O G U K (Right)
How many such consonants are there, each of which is immediately preceded by a vowel and also immediately followed by a vowel?
Three
One
None
Two
Three
On reaching an organ or tissue, arteries divide into smaller and smaller vessels. The smallest vessels have walls that are one cell thick and are called:
arteries
capillaries
veins
arterioles
arteries
Each of Akarsh, Bindu, Chetu, Divyansh, Ekam, Fatima and Gudiya has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only one person has exam after Ekam. Only two persons have exam before Akarsh. Bindu has exam immediately before Divyansh and only one person has exam between Divyansh and Gudiya. Gudiya has exam on Sunday. Chetu's exam is not on the first day of the week. On which day does Chetu have the exam?
Friday
Tuesday
Wednesday
Monday
Friday
This question is based on the five, three-digit numbers given below.
(Left) 629 574 315 681 459 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
What will be the resultant if the second digit of the highest number is added to the third digit of the lowest number?
11
10
12
13
11
Each vowel in the word CRUMBLE is changed to the letter immediately following it in the English alphabetical order and each consonant is changed to the letter immediately preceding it in the English alphabetical order. Which of the following letters will be third from the left in the new group of letters thus formed?
A
Q
L
V
A
A machine does 1000 J of work in 5 seconds. Its power is:
100 W
500 W
200 W
50 W
100 W
A speedboat, whose speed is 16 km/hr in still water, travels 40 km downstream and returns in a total of 6 hours 24 minutes. What is the speed of the stream (in km/hr)?
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
ALI : BIE
IIK : JFG
FQO : FNJ
IPN : IMI
BFK : BBG
CJE : DGA
FQO : FNJ
Each letter in the word VISION is changed to the letter immediately following it in the English alphabetical order, and then all the letters thus formed are arranged in reverse alphabetical order. Which letter will be fourth from the left?
U
W
O
T
U
If mean of 10 observations is 20, then the value of is:
113
111
112
110
113
In , points M and N lie on sides PQ and PR respectively, such that MN is parallel to QR.
If PM : QM = 4 : 7 and area of = 36 m2, find the area of trapezium MQRN.
236.25 m2
216.36 m2
222.86 m2
248.15 m2
236.25 m2
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Q. Four people – Arvind, Bipin, Chetak, and Divyesh – are seated in a row facing south.
Who is seated second from the left end?
(I) Bipin is seated immediately to the right of Arvind.
(II) Divyesh is seated at the extreme right end.
Data in Statement I alone is sufficient to answer the question while data in Statement II is not
Data in both statements I and II together are NOT sufficient to answer the question
Data in both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
Data in Statement II alone is sufficient to answer the question while data in Statement I is not
Data in Statement I alone is sufficient to answer the question while data in Statement II is not
In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Among the five poles—R, A, M, E, and N—each having a different height, which pole is the shortest?
(I) N is taller than M
(II) E is taller than N.R is only shorter than one pole
Data in statement I alone is sufficient to answer the question while data in statement II is not
Data in statement II alone is sufficient to answer the question while data in statement I is not
Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
Both statements I and II together are NOT sufficient to answer the question
Data in statement I alone is sufficient to answer the question while data in statement II is not
Six friends D, E, F, G, J and K are sitting in a straight line facing north. No one sits to the right of K. Only one person sits between F and K. Only three people sit between K and J. G sits at some place to the left of D but at some place to the right of E. How many people sit between E and D?
Three
Four
Two
One
Three
Anand purchased an item and spent ₹175 on its repair. He then sold it to Bharath at a profit of 25%. Later, Bharath sold the item for ₹3,402, incurring a loss of 58%. What was Anand’s cost (in ₹) of the item just before selling it to Bharath?
6480
6478
6481
6483
6480
What should come in place of the question mark (?) in the given series based on the English alphabetical order?
DHS HLW LPA PTE ?
TXS
TCD
TXI
TIX
TXS
A shopkeeper sells an item for ₹324.3 after giving two successive discounts of 60% and 31% on its marked price. Had he not given any discount, he would have earned a profit of 25%. What is the cost price (in ₹) of the item?
947
917
940
968
947
If , what is the positive value of ?
1
4
2
8
1
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 / subtracting /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)
(18, 5, 85)
(11, 7, 72)
(15, 6, 85)
(10, 8, 85)
(8, 4, 32)
(9, 7, 68)
(15, 6, 85)
Which of the following functions of mitochondria makes it a powerhouse of the cell?
Generation of ATP
Generation of heat
Generation of enzymes
Generation of NADPH
Generation of ATP
Refer to the following letter series and answer the question that follows. Counting to be done from left to right only.
(Left) F J A F Y H J I D X Q O B C O P O G F I O G (Right)
How many such consonants are there, each of which is immediately preceded by a consonant and also immediately followed by a consonant?
5
4
6
3
5
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group?
(Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
OL - JG
UR - PM
SP - LJ
LI - GD
OL - JG
In a certain code language, ‘SONG’ is coded as ‘9785’ and ‘GONE’ is coded as ‘5867’. What is the code for ‘E’ in the given code language?
7
8
5
6
7
L, K, H, M, Z and U live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. L lives immediately below H. Z lives immediately below U. Only three people live between M and Z. K does not live on the topmost floor. H does not live on any floors below U. How many people live between H and K?
Four
One
Three
Two
Four
The reaction of sodium hydrogen carbonate upon heating produces:
Sodium hydroxide, oxygen, and carbon monoxide at high temperature
Sodium carbonate, water, and carbon dioxide gas during cooking
Sodium chloride, water, and hydrogen gas under normal heating
Sodium sulfate, hydrogen, and carbon dioxide when strongly heated
Sodium hydroxide, oxygen, and carbon monoxide at high temperature
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will come in place of the question mark (?) in the following equation?
26 A 2 C 14 B 4 D 18 = ?
62
44
70
51
62
A student's marks were incorrectly entered as 32 instead of 96. Due to this, the average marks of the class got decreased by 4/3. What is the number of students in the class?
48
54
45
51
48
A, B, C, D, E, F and G live on seven different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 7. Only two persons live above C. Only two persons live between C and E. B lives immediately above E. D lives immediately below F. A does not live on the lowermost floor. On which floor number does A live?
Floor number 3
Floor number 4
Floor number 2
Floor number 6
Floor number 3
Which of the following cities hosted World Para Athletics Championships 2025?
New Delhi
Mumbai
Jaipur
Bengaluru
New Delhi
What should come in place of ? in the given series?
36 40 46 50 56 ?
60
61
62
59
60
What is the overall percentage increase in a number if it is increased successively by 10%, 20%, and 15%?
51.8%
45.8%
41.8%
55.8%
51.8%
Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which letter-cluster pair DOES NOT belong to that group? (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)
AW - KP
AC-DF
PR- SU
GI-JL
AW - KP
The simplified value of is
15
13
22
14
15
A sum of ₹5,890 is divided between Alok, Gita and Suresh such that if their shares are decreased by ₹320, ₹590 and ₹750, respectively, then they are in the ratio of 9 : 3 : 6. What is the original share of Gita?
₹1,209
₹1,295
₹1,157
₹1,380
₹1,209
There are 2,100 members in a local group. In 2019, the number of members increased by 15%. In 2020, however, the number decreased by 20%. What is the total number of members after these two changes?
1836
1905
1932
1754
1836
Why is a colloid considered stable?
Its particles react chemically with the dispersion medium.
Its particles can be separated easily by filtration.
Its particles do not settle down when left undisturbed.
Its particles dissolve completely in the dispersion medium.
Its particles react chemically with the dispersion medium.
A racer car covers the first 160 km at a speed of 80 km/hr, another 160 km at 120 km/hr and the last 160 km at 80 km/hr. Find out average speed of the racer car for the entire journey.
100 km/hr
95 km/hr
90 km/hr
105 km/hr
100 km/hr
D, E, F, G, K, L, and M are sitting around a circular table, facing the centre of the table. F sits fourth to the left of E. M sits fourth to the right of G. Only two people sit between E and G when counted from the left of E. D is not an immediate neighbour of M or E. K is not an immediate neighbour of D.
Who sits third to the right of L?
M
F
K
D
M
If the radius of the base of a right circular cylinder is decreased by 19% and its height is increased by 129%, then what is the percentage increase in its volume? [Give your answer correct to the nearest integer value.]
36%
28%
66%
50%
36%
The marked price of an item is 10% higher than the cost price and a discount of 10% is given on the marked price. What is the percentage gain or loss to the business owner in this sale?
2% gain
1% gain
1% loss
2% loss
2% gain
Which of the following statements correctly defines refraction of light?
Bending of light when it falls on a mirror
Change in direction of light when it passes from one medium to another
Scattering of light by air molecules
Splitting of light into seven colours
Bending of light when it falls on a mirror
A 12 m tall building casts a shadow of 8 m at a certain time of the day. At the same time, a vertical pole with a flag on top casts a shadow of 15 m. If the height of the flag alone is 3 m, find the height of the pole.
21 m
17.5 m
19.5 m
18 m
21 m
Which of the following is the correct method to change any provision of the Constitution of India?
Executive Order
Supreme Court Approval
Presidential Ordinance
Constitutional Amendment
Executive Order
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