IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

20 Minutes Test

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Test Report

Question No 1

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?

Select the correct answer

60 50 40 30

Solution!
Let the present age of the person = x

Then present age of the mother = 5x/2

Given that , after 8 years, the person will be one-half of the age of his mother.

(x + 8) = (1/2)(5x/2 + 8)
2x + 16 = 5x/2 + 8
x/2 = 8
x = 16

Present age of the mother = 5x/2
= 5 * 16/2 = 40.

Question No 2

Pointing to a photograph Lata says, "He is the son of the only son of my grandfather." How is the man in the photograph related to Lata?

Select the correct answer

Brother Uncle Cousin Data inadequate

Solution!
The man in the photograph is the son of the only son of Lata's grandfather i.e., the man is the son of Lata's father. Hence, the man is the brother of Lata..

Question No 3

0 , 100 , 6 , 94 , 12 , 88 , 18 , 82 , ? , ?

Select the correct answer

22, 64 24, 76 32, 40 50, 60

Solution!
There are two sequences interwoven.

Add 6 starting at 0 and deduct 6 starting at 100..

Question No 4

What is the sum of first 5 positive even integers?

Select the correct answer

26 28 30 32

Solution!
2+4+6+8+10 = 30.

Question No 5

If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?

Select the correct answer

Q - N + M x P P + S x N - Q P - M + N x Q Q - S % P

Solution!
P - M = P is the brother of M

M + N = M is the mother of N

N x Q = N is the sister of Q

Therefore, P is the maternal uncle of Q..

Question No 6

With an increase of 12% salary of Ali became Rs13440. What was his salary before increase?

Select the correct answer

10000 11000 12000 13000

Solution!
Let before increase Ali's salary was x.
12% of x = 12x/100 = 3x/25

Now
13440 - 3x/25 = x
336000 - 3x = 25x
336000 = 28x
x = 12000

Hence Ali's salary before increase was Rs. 12000.

Question No 7

An article was sold at a loss of 15% for $476. What is the cost price of the article?

Select the correct answer

$520 $540 $560 $580

Solution!
Let cost price of the article is x.
15% of x = (15x)/100 = 3x/20

Now
(3x/20) + 476 = x
3x+9520 = 20x
9520 = 17x
x = 560

Hence cost price of the article is $560..

Question No 8

TWAIN is to CLEMENS as ELIOT is to..

Select the correct answer

George Mary Bronte Evans

Solution!
No answer description available for this question..

Question No 9

What is Antonym of RIBALD ?

Select the correct answer

genteel attractive serious ethical

Solution!
No answer description available for this question..

Question No 10

16 men dig a ditch in 10 days. How many men would be required to complete the job in half the time?

Select the correct answer

8 32 24 20

Solution!
Double number of men are required to complete the job in half time..

Question No 11

One year ago, the ratio of Sooraj's and Vimal's age was 6/7 respectively. Four years hence, this ratio would become 7/8. How old is Vimal?

Select the correct answer

32 34 36 38

Solution!
Let take the age of Sooraj and Vimal, 1 year ago as 6x and 7x respectively.

Given that, four years hence, this ratio would become 7/8.

(6x + 5)/(7x + 5) = 7/8
48x + 40 = 49x + 35
x = 5

Vimal's present age = 7x + 1 = 7*5 + 1 = 36.

Question No 12

What is the angle between the hands of a clock at 9 o'clock?

Select the correct answer

45 degree 90 degree 105 degree 75 degree

Solution!
At 9 o'clock the minute hand points to 12 and hour hand points to 9.

Angle between 9 and 12 at the clock is 90 degree..

Question No 13

0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , ?

Select the correct answer

64 67 62 72

Solution!
Add 1, 3, 5, 7, etc..

Question No 14

1 , 1 , 2 , ? , 24 , 120 , 720

Select the correct answer

18 12 48 6

Solution!
Multiply by 1, 2, 3 and so on....

Question No 15

If A + B means B is the brother of A; A x B means B is the husband of A; A - B means A is the mother of B and A % B means A is the father of B, which of the following relations shows that Q is the grandmother of T?

Select the correct answer

Q - P + R % T P x Q % R - T P x Q % R + T P + Q % R - T

Solution!
Q - P = Q is the mother of P

P + R = R is the brother of P

Hence, Q is the mother of R

R % T = R is the father of T.

Hence, Q is the grandmother of T..

Question No 16

On 8th Dec, 2007 Saturday falls.What day of the week was it on 8th Dec, 2006?

Select the correct answer

Sunday Thursday Tuesday Friday

Solution!
The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.

But, 8th Dec, 2007 is Saturday.

Hence, 8th Dec, 2006 is Friday..

Question No 17

Choose the word which is different from the rest.

Select the correct answer

Deck Quay Stern Bow

Solution!
All except Quay are parts Of a ship..

Question No 18

A and B are children of D. Who is the father of A? To answer this question which of the statements (1) and (2) is necessary? (1) C is the brother of A and the son of E. (2) F is the mother B.

Select the correct answer

Only (1) Only (2) Either (1) or (2) (1) and (2) both

Solution!
A and B are children of D.

From (1), C is the brother B and son of E.

Since, the sex of D and E are not known. Hence (1) is not sufficient to answer the question.

From (2). F is the mother of B. Hence, F is also the mother of A. Hence D is the father of A.

Thus, (2) is sufficient to answer the question..

Question No 19

230 meters long train crosses a man sitting on the platform in 46 seconds. What is the speed of the train?

Select the correct answer

5m/s 10m/s 15m/s 20m/s

Solution!
Length of the train = L = 230m
Time = t = 46s
Speed = v = ?

V = L/t
By putting values
v = 230/46 = 5m/s

Hence speed of the train is 5m/s..

Question No 20

A and B are married couple. X and Y are brothers. X is the brother of A. How is Y related to B.

Select the correct answer

Brother Brother-in-Law Father Father-in-Law

Solution!
X and Y both are brothers of A
which means both are Brother-in-law of B..

Question No 21

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Select the correct answer

81 50.4 62 83.75

Solution!
Deduct 3.25 each time..

Question No 22

Which one of the following is always in 'Sentiment'?

Select the correct answer

Cruelty Insight Neutrality Emotion

Solution!
No answer description available for this question..

Question No 23

A shopkeeper bought an article for $120 and sold at profit of 10%. What is selling price of the article?

Select the correct answer

130 132 140 none

Solution!
10% of 120
= (120*10)/100 = 12

Selling price = 120+12 = 132.

Question No 24

Find the odd man out.

Select the correct answer

David William Charles George

Solution!
Remaining are names of British Kings..

Question No 25

Ten years ago a father was seven times as old as his son, two years hence, twice his age will be equal to five times his son's. What is the present age of son?

Select the correct answer

14 20 16 24

Solution!
Let present age of son is x and present age of father is y.

Given that
y-10 = 7(x-10)
y-10 = 7x-70
y-7x = -70+10
7x-y = 60 ...(1)

and also given that
2(y+2) = 5(x+2)
2y+4 = 5x+10
2y-5x = 6 ...(2)By simultaneously soving equation(1) and equation(2)
x = 14

Hence present age of son is 14 years..

Question No 26

Find the odd man out.

Select the correct answer

Foolish Audacious Stalwart Intrepid

Solution!
No answer description available for this question..

Question No 27

Optimist is to cheerful as pessimist is to..

Select the correct answer

gloomy mean petty helpful

Solution!
An optimist is a person whose outlook is cheerful. A pessimist is a person whose outlook is gloomy..

Question No 28

The average age of A and B is 20. If C were to replace A, the average would be 19, and if B was replaced by C, the average would be 21. The age of C is

Select the correct answer

18 19 20 21

Solution!
Given that
(A+B)/2 = 20
A+B = 40 ...(1)

and
(C+B)/2 = 19
C+B = 38 ...(2)

and
(A+C)/2 = 21
A+C = 42 ...(3)

Put value of A from equation(1) in equation(3)
(40-B)+C = 42
C-B = 2 ...(4)

By simultaneously solving equation(2) and equation(4)
C = 20

Hence C is 20 years old..

Question No 29

By how many degrees does the minute hand move in the same time, in which the hour hand move by 18 degree?

Select the correct answer

168 degree 216 degree 196 degree 276 degree

Solution!
18*2 *6 = 216 degree

.

Question No 30

Choose the word which is different from the rest.

Select the correct answer

Sparrow Swan Parrot Koel

Solution!
Swan is the only water bird in the group..

Question No 31

Average of 4 numbers is 24. What is the sum of the four numbers?

Select the correct answer

6 48 96 240

Solution!
x/4 = 24
x = 24*4
x = 96.

Question No 32

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is

Select the correct answer

60/11 % 55/9 % 15 % 9 %

Solution!
Cost Price (C.P.) = (4700 + 800) = Rs. 5500

Selling Price (S.P.) = Rs. 5800

Gain = (S.P.) - (C.P.) = (5800 - 5500) = Rs. 300

Gain % = (300/5500) * 100 = 60/5 %.

Question No 33

paw is to cat as hoof is to..

Select the correct answer

lamb elephant lion horse

Solution!
As cat has Paw similarly Horse has Hoof..

Question No 34

What is 45% of 300?

Select the correct answer

155 149 151 135

Solution!
45 * (300/100) = 135

Quick way to find answer from options is

50% of 300 is 150 so 45% of 300 should be less than 150

So, it may be 149 or 135
149 is very close to 150 which is not possible

Hence, 135 is correct answer..

Question No 35

Yard is to inch as quart is to..

Select the correct answer

gallon ounce milk liquid

Solution!
A yard is a larger measure than an inch (a yard contains 36 inches). A quart is a larger measure than an ounce (a quart contains 32 ounces)..

Question No 36

In a fort there is enough food sufficient for 1200 men for 10 days. How long the food would have last for if there would have been 1000 men.

Select the correct answer

15 12 10 20

Solution!
Let food will last for x days.
As men and days are inversely proportional to each other so
x/10 = 1200/1000
x = 12

Hence food will last for 12 days if there were 1000 men..

Question No 37

A 100 meters long train can cross a 150 meters long bridge in 20 seconds. What is the speed of the train?

Select the correct answer

10m/s 12.5m/s 15m/s 17.5m/s

Solution!
Length of the train = L1 = 100m
Length of the bridge = L2 = 150m
Time = t = 20s
Speed = v = ?

v = (L1+L2)/t
By putting values
v = (100+150)/20
v = 250/20 = 12.5m/s

Hence speed of train is 12.5m/s..

Question No 38

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is

Select the correct answer

130 360 500 540

Solution!
Speed = 78 * (5/18) = 65/3 m/s

Time = 1 minute = 60 seconds

Let the length of the tunnel be x metres

Then,
(800+x)/60 = 65/3
3(800 + x) = 3900

Hence, x = 500.

Question No 39

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was?

Select the correct answer

14 years 19 years 33 years 38 years

Solution!
Let the son's present age be x years. Then, (38 - x) = x

2x = 38
x = 19

Hence, Son's age 5 years back (19 - 5) = 14 years..

Question No 40

Which year has the same calendar as 1700 ?

Select the correct answer

1705 1706 1707 1708

Solution!
Year 1700 has 1 odd day
1701 has 1 odd day
1702 has 1 odd day
1703 has 1 odd day
1704 has 2 odd day
1705 has 1 odd day

Hence, 1706 will has same calender..

Question No 41

A train of length 150 metres is running at the speed of 20m/s. In what time will it cross a 130 metre long bridge?

Select the correct answer

13 sec 14 sec 15 sec 16 sec

Solution!
Length of the train = L1 = 150m
Length of bridge = L2 = 130m
Speed = v = 20m/s

t = (L1 + L2)/v
t = (150+130)/20
t = 14

Hence the train will pass the 130 meter long bridge in 14 seconds..

Question No 42

Which number is the odd one out, 8, 27, 64, 100, 125, 216, 343

Select the correct answer

27 100 125 343

Solution!
All others are perfect cube of any number but 100 is not the perfect cube of any number..

Question No 43

A cycle costs $170.Jane saves $50 each week.How many weeks will it be before she can buy it?

Select the correct answer

10 20 15 4

Solution!
170 / 50 = 3.4
But 3.4 is not in options so nearest Option is 4.

Question No 44

The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?

Select the correct answer

10 20 30 40

Solution!
Let's take the present age of the elder person = x

and the present age of the younger person = x - 16

(x - 6) = 3 (x-16-6)
x - 6 = 3x - 66
2x = 60
x = 60/2 = 30.

Question No 45

'A' is without sons and brothers, but the father of B is A's father's son. What is 'B' to 'A'?

Select the correct answer

Daughter Sister Son Wife

Solution!
A's father's son means A himself because A has no brother.

So A is father of B.
As A has no son, B must be her daughter..

Question No 46

Pride is to lion as school is to..

Select the correct answer

teacher student self-respect fish

Solution!
A group of lions is called a pride. A group of fish swim in a school..

Question No 47

A man was accompanying a girl, on being asked who the girl was the man said, "Her father was the only son of my father". What was the girl to man?

Select the correct answer

Daughter Sister Mother Niece

Solution!
If I am a boy and I am only son of my father it means I am talking about myself.

Same is the case here man is father of the girl..

Question No 48

Find the odd man out.

Select the correct answer

Ant Spider Moth Bee

Solution!
No answer description available for this question..

Question No 49

The present age of A is 45 yeras. 5 years ago the age of A was 5 times the age of his son B. How old is B now?

Select the correct answer

5 15 13 10

Solution!
Given that
A = 45

and
A-5 = 5(B-5)
40 = 5B-25
65 = 5B
B = 13

Hence B is 13 years old now..

Question No 50

Cloth is to Mill as Newspaper is to?

Select the correct answer

Editor Reader Paper Press

Solution!
As Cloth is made in a Mill, similarly Newspaper is printed in press..

Question No 51

By selling an article for $200 shopkeeper looses 20%. What is cost price of the article?

Select the correct answer

220 225 230 250

Solution!
Let cost price of the article is x.

20% of x = (x*20)/100 = x/5

Now
(x/5) + 200 = x
x+1000 = 5x
4x = 1000
x = 250

Hence cost price of the article is 250..

Question No 52

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is

Select the correct answer

250 m 50 m 150 m 200 m

Solution!
Let the length of the train be x metres and its speed by y m/sec.

Then, x/y = 15
y = x/15

So, (x+100)/25 = x/15
15(x + 100) = 25x
15x + 1500 = 25x
1500 = 10x
x = 150 m.

Question No 53

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is

Select the correct answer

200 m 225 m 245 m 250 m

Solution!
Speed = 45 * (5/18)
= 25/2 m/s

Time = 30 sec

Let the length of bridge be x metres

Then,
(130 + x)/30 = 25/2
2(130 + x) = 750

Hence, x = 245 m.

Question No 54

Choose the word which is different from the rest.

Select the correct answer

Curd Butter Oil Cheese

Solution!
All except Oil are products obtained from milk..

Question No 55

Which number is the odd one out, 10, 25, 45, 54, 60, 75, 80

Select the correct answer

10 45 54 75

Solution!
Each of the numbers except 54 is multiple of 5..

Question No 56

A train travelling at he speed of 72km/h can cross a platform in 17 seconds. If length of the train is 180 meters, what is the length of the platform?

Select the correct answer

160m 170m 180m 190m

Solution!
Speed of train = v = 72Km/h = 72*(5/18) = 20m/s

Time = t = 17s
Length of the train = L1 = 180m
Length of the platform = L2 = ?

t = (L1+L2)/v
By putting values
17 = (180+L2)/20
340-180 = L2
L2 = 160m

Hence length of the platform is 160m..

Question No 57

Reaching a party day before yesterday, I found myself two days late. If day after tomorrow is Friday. On what day was the party scheduled to be held?

Select the correct answer

Sunday Monday Thursday Saturday

Solution!
As day after tomorrow is Friday so tomorrow is Thursday, today is Wednesday, yesterday was Tuesday and day before yesterday was Monday. Today before the day before yesterday was Saturday. Hence party was scheduled on Saturday..

Question No 58

How many times do the hands of a clock coincide in a day?

Select the correct answer

20 21 22 24

Solution!
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).

The hands overlap about every 65 minutes, not every 60 minutes. So, the hands coincide 22 times in a day..

Question No 59

Which of the following is the least number which is divisible by both 12 and 18?

Select the correct answer

36 30 72 78

Solution!
Least common multiple of 12 and 18 is 36.

Question No 60

On selling 17 balls at $720, there is a loss equal to the cost price of 5 balls.The cost price of a ball is

Select the correct answer

$45 $50 $55 $60

Solution!
(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = $720

C.P. of 1 ball = $60.