# IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

### Test Report

#### Question No 1

The average of 20 numbers is 0, How many of them may be greater than zero,at the most?

Solution!
Maximum Numbers that can be greater than 0 to maintain total average greater than 0 are 19..

#### Question No 2

MUSICIAN is to VIRTUOSO as BARD is to..

Solution!
No answer description available for this question..

#### Question No 3

35 Kg of spinach costs Rs. 28. How many Kg of spinach can be bought for Rs. 16?

Solution!
Amount of spinach which can be bought in Rs. 28 = 35 kg! !Amount of spinach which can be bought in Rs. 1 = 35/28 = 5/4 Kg! !Amount of spinach which can be bought in Rs. 16 =(5/4)*16 = 20 Kg.

#### Question No 5

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 6

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

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 7

Find the odd man out.

Solution!
Tank is an artificial resource to store water..

#### Question No 8

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

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

#### Question No 9

Which of the following is an integer that has a remainder of 1 when it is divided by 4,5 and 6?

Solution!
Least common multiple of 4,5 and 6 is 60 so 61 is an integer that has a remainder of 1 when it is divided by 4,5 and 6..

#### Question No 10

A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?

Solution!
Let the present age of the son = x years! !Then present age the man = (x+24) years! !Given that in 2 years, man's age will be twice the age of his son! !(x+24) +2 = 2(x+2)!x = 22.

#### Question No 11

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

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

#### Question No 12

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

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 13

Play is to actor as concert is to..

Solution!
An actor performs in a play. A musician performs at a concert..

#### Question No 14

If the number 5r2 is divisible by 6, then r = ?

Solution!
572 is completely divisible by 6..

#### Question No 15

Joseph's speed of rowing in still water is 12 km/h and he finds that it takes him twice as long to row up as to row down the river. Find the speed of water in the river.

Solution!
Let speed of water is x.!Speed in still water = u = 12 Km/h! !As downstream speed is double of upstream speed! !(12+x) = 2(12-x)!12+x = 24-2x!3x = 12!x = 4! !Hence speed of water is 4 Km/h..

#### Question No 16

Ages of A and B are in ratio 8/7. 27 years ago their ages were in the ratio 5/4. The age of B is

Solution!
Given that!A/B = 8/7 ...(1)! !and!(A-27)/(B-27) = 5/4!5B-135 = 4A-108 ...(2)! !From equation(1) we have!A = (8/7)B! !Put value of A in equation(2)!5B-135 = 4*[(8/7)B]-108!5B-27 = (32/7)B!5B-(32/7)B = 27!(35B-32B)/7 = 27!3B = 189!B = 63! !Hence the age of B is 63 years..

#### Question No 18

Find the odd man out.

Solution!

#### Question No 19

What will be the day of the week 15th August, 2010?

Solution!
15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)! !Odd days in 1600 years = 0! !Odd days in 400 years = 0! !9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days = 4 odd days.! !From January to 15 August (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days! !227 days = (32 weeks + 3 days) = 3 odd days.! !Total number of odd days = (0 + 0 + 4 + 3) = 7.! !Hence, Given day is Sunday..

#### Question No 20

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

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 21

Choose the word which is different from the rest.

Solution!
All except Veil cover the head, while veil covers the face..

#### Question No 22

Price of a fuel increased by 10% during budget. If its price before budget was Rs. 55 per liter what is its price after the budget?

Solution!
10% of 55 = (55*10)/100 = 5.5! !Price of fuel after butget = 55+5.5 = 60.5.

#### Question No 23

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds.What is the length of the platform?

Solution!
Speed = (300/18)m/s!= 50/3m/s! !Let the length of the platform be x metres! !Then, (x+300)/39 = 50/3!3(x + 300) = 1950! !Hence, x = 350 m.

#### Question No 24

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

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

#### Question No 25

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

Solution!
There are two sequences interwoven.! !Add 6 starting at 0 and deduct 6 starting at 100..

#### Question No 26

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child?

Solution!
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.! !Then,!x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50!5x = 20!x = 4! !Hence, Age of the youngest child = x = 4 years.

#### Question No 27

It was Sunday on Jan 1, 2006.What was the day of the week Jan 1, 2010?

Solution!
On 31st December, 2005 it was Saturday.!Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.! !So, On 31st December 2009, it was Thursday.! !Thus, on 1st Jan, 2010 it is Friday..

#### Question No 28

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

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..

#### Question No 29

A salesman bought a pen for Rs. 100 and sold it for Rs. 110. What is his profit percent?

Solution!
Profit = 110 - 100 = 10! !Profit percentage = (10/100)*100 = 10%.

#### Question No 30

Conference is to Chairman as Newspaper is to?