IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

10 Minutes Test

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Wrong:

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Test Report

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


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


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.

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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


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

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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?

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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?

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Solution!
9 * 8 = 72.

Question No 8

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

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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?

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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?

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

Question No 11

Conference is to Chairman as Newspaper is to?

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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


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

Question No 13

Find the odd man out.

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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?

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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

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Solution!
No answer description available for this question..

Question No 16

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

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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?

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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 ?

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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?

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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


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


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 ...

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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 , ?

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Solution!
Deduct 3.25 each time..

Question No 24

EMIT is to MITE as EVIL is to..

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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


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.

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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%?

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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


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?

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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?

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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..
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