IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Question No 1

A can do a work in 15 days and B in 20 days.If they work on it together for 4 days,then the fraction of the work that is left is

Select the correct answer

1/4 1/10 7/15 8/15

Solution!
A's 1 day's work = 1/15

B's 1 day's work = 1/20

(A + B)'s 1 day's work = (1/15 + 1/20) = 7/60

(A + B)'s 4 day's work = (7/60 * 4) = 7/15

Therefore, Remaining work = (1 - 7/15) = 8/15.

Question No 2

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

Select the correct answer

5 sec 6 sec 7 sec 10 sec

Solution!
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.
= 66 * (5/18) = (55/3)m/s

Hence, Time taken to pass the man
= 110 * (3/55) = 6 seconds.

Question No 3

Choose the word which is different from the rest.

Select the correct answer

Japan India Sri Lanka New Zealand

Solution!
All except India are islands, while India is a peninsula..

Question No 4

What is the angle between the two hands of a clock when the time shown by the clock is 5:30 p.m. ?

Select the correct answer

0 degree 5 degree 3 degree 15 degree

Solution!
q = 11/2 m ? 30h = 11/2 *30 - 30 *5 = 165-150 = 15 degree

.

Question No 5

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in

Select the correct answer

5 days 6 days 10 days 15 days

Solution!
(B + C)'s 1 day's work = (1/9 + 1/12) = 7/36

Work done by B and C in 3 days = (7/36 * 3)
= 7/12

Remaining work = (1 - 7/12)
= 5/12

Now, 1/24 work is done by A in 1 day.

So, 5/12 work is done by A in (24 * 5/12) = 10 days..

Question No 6

A man's age is three times his son's. In 15 years it will be double that of his son's. How old is the son now?

Select the correct answer

30 15 45 none

Solution!
Let Son's age is x
Mans Age = 3x

Given that
3x+15 = 2(x+15)
3x+15 = 2x+30
3x-2x = 30-15

x = 15

Hence son is 15 years old..

Question No 7

What is 9 multiplied by 8?

Select the correct answer

64 84 72 74

Solution!
9 * 8 = 72.

Question No 8

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 9

What is the angle between the hands of a clock at 4:20 pm?

Select the correct answer

0 degree 10 degree 20 degree 30 degree

Solution!
At 4:20 hour hand is nearly at 4 but not perfectly at 4.
Minute hand is at 4

If both hands are at 4 then angle is 0 degree.

Hour hand move 1/2 degree in one minute.

In 20 Minutes hour hand will move 1/2 * 20 = 10 degree

Hence, Angle between hands is 0 + 10 = 10 degree.

Question No 10

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 11

Conference is to Chairman as Newspaper is to?

Select the correct answer

Reporter Distributor Printer Editor

Solution!
As Chairman is the highest authority in a conference
similarly Editor is in Newspaper..

Question No 12

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is

Select the correct answer

3 km/hr 5 km/hr 8 km/hr 9 km/hr

Solution!
Speed in still water
= 1/2(11+5) km/h = 8 km/h.

Question No 13

Find the odd man out.

Select the correct answer

Cruise Holiday Voyage Trip

Solution!
All except holiday make the same meanings..

Question No 14

Pointing to Gopi, Nalni says, "I am the daughter of the only son of his grandfather." How Nalni is related to Gopi?

Select the correct answer

Niece Daughter Sister Aunt

Solution!
Nalni is the daughter of the only son of Gopi's grandfather.

Hence, it's clear that Nalni is the sister of Gopi..

Question No 15

A train always has

Select the correct answer

Rails Driver Guard Engine

Solution!
No answer description available for this question..

Question No 16

The miser gazed ...... at the pile of gold coins in front of him.

Select the correct answer

avidly admiringly thoughtfully earnestly

Solution!
No answer description available for this question..

Question No 17

A little American and a big American are walking along a road. The little American is the big American's son. The big American is not the little American's father. Who is big American?

Select the correct answer

Daughter Mother Sister None

Solution!
Little American is son of big American but big American is not his father, then big American must be his mother..

Question No 18

The angle between the minute hand and the hour hand of a clock when the time is 8:30, is ?

Select the correct answer

80 degree 75 degree 60 degree 105 degree

Solution!
Angle traced by hour hand in 17/2 hrs = (360/12 * 17/2) = 255 degree

Angle traced by minute hand in 30 min = (360/60 * 30) = 180 degree

So, Required angle = (255 - 180) = 75 degree.

Question No 19

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 20

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 21

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 22

A clock is started at noon.By 10 minutes past 5, the hour hand has turned through ...

Select the correct answer

145 degree 150 degree 155 degree 160 degree

Solution!
Angle traced by hour hand in 12 hrs = 360 degree

Angle traced by hour hand in 5 hrs 10 min. i.e.,
31/6 hrs = (360/12 * 31/6) = 155 degree.

Question No 23

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 24

EMIT is to MITE as EVIL is to..

Select the correct answer

huge vile veil time

Solution!
No answer description available for this question..

Question No 25

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

Select the correct answer

40 sec 42 sec 45 sec 48 sec

Solution!
Formula for converting from km/hr to m/s is
X km/hr = x * (5/18)m/s

Therefore,
Speed = 45 * (5/18) = 25/2 m/s

Total distance to be covered = (360 + 140) m = 500 m

Formula for finding Time = (Distance/Speed)

Hence, Required time = (500*2)/25
= 40 seconds.

Question No 26

Subtract 369 from 1250.

Select the correct answer

881 900 960 985

Solution!
1250 - 369 = 881.

Question No 27

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Select the correct answer

3 4 5 6

Solution!
C.P. of 6 toffees = Re. 1

S.P. of 6 toffees = 120% of Re. 1 = Rs. 6/5

For Rs. 6/5,
toffees sold = 6.

For Re. 1, toffees sold = (6 * 5/6) = 5.

Question No 28

If n is even, Which of the following cannot be odd? (1) n+3 (2) 3n (3) n^2 - 1

Select the correct answer

(1) only (2) only (3) only (1) and (2)

Solution!
3n and n^2 - 1 will always odd so in case of 3n answers will be even..

Question No 29

Ten years ago Akram was thrice as old as Aslam was, but 10 years hence, he will be only twice as old. What is Akram's present age?

Select the correct answer

30 50 60 70

Solution!
Let Aslam's present age is x and Akram's present age is y.

Given that
y-10 = 3(x-10)
y-10 = 3x-30
y-3x = -20
3x-y = 20 ...(1)

and also given that
y+10 = 2(x+10)
y+10 = 2x+20
y-2x = 10 ...(2)

By simultaneously solving equation(1) and equation(2)
y=70

Hence Akram's present age is 70 years..

Question No 30

Introducing Sonia, Aamir says, "She is the wife of only nephew of only brother of my mother." How Sonia is related to Aamir?

Select the correct answer

Sister-in-law Sister Wife Data is inadequate

Solution!
Brother of mother means maternal uncle.

Hence only nephew of Aamir's maternal uncle means Aamir himself.

Therefore Sonia is the wife of Aamir..

IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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