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

### Test Report

#### Question No 1

Oar is to rowboat as foot is to..

Solution!
An oar puts a rowboat into motion. A foot puts a skateboard into motion..

#### Question No 2

Find the correctly spelt word.

Solution!
No answer description available for this question..

#### Question No 3

Find the odd man out.

Solution!
Other three are different type of windows..

#### Question No 4

Find the odd man out.

Solution!
All except holiday make the same meanings..

#### Question No 5

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

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

#### Question No 6

Find the odd man out.

Solution!
Chamberlain is a politician while all other are poet..

#### Question No 7

If selling price is doubled, the profit triples. Find the profit percent.

Solution!
Let! C.P. be Rs. x and S.P. be Rs. y.! !Then,! 3(y - x) = (2y - x)!y = 2x! !Profit = Rs. (y - x) = Rs. x! !Profit % = (x/x)*100 = 100%.

#### Question No 8

9 excavators working 10 hours a day remove 2500 cubic feet of earth in 3 days. How many excavators working 6 hours a day are required to remove 5000 cubic feet of earth in 2 days?

Solution!
Let x excavators are required.!As excavators are inversely proportional to hours and days and directly proportional to work progress so!x/9 = (10/6)*(5000/2500)*(3/2)!x = 45! !Hence 45 excavators are required to remove 5000 cubic feet of earth..

#### Question No 9

What is the angle between the minute hand and the hour hand when the time is 1540 hours?

Solution!
Hour hand is nearly at 3!Minute hand is at 8! !Angle between 3 and 8 is 150 degree.! !In 40 Minutes hour hand will move 1/2 * 40 = 20 degree! !Hence, Angle between hands is 150 - 20 = 130 degree.

#### Question No 10

A is the father of B, but B is not A's daughter. Establish relationship of B with A.

Solution!
A is father of B but B is not daughter of A, then B must be son of A..

#### Question No 11

If A + B means A is the sister of B; A x B means A is the wife of B, A % B means A is the father of B and A - B means A is the brother of B. Which of the following means T is the daughter of P?

Solution!
P x Q = P is the wife of Q! !Q % R = Q is the father of R! !R - T = R is the brother of T! !T + S = T is the sister of S.! !Therefore, T is the daughter of P..

#### Question No 12

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?

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 13

What is the angle between the hands of a clock at 2:30?

Solution!
Hour hand is nearly at 2!Minute hand is at 6! !Angle between 2 and 6 is 120 degree.! !Hour hand move 1/2 degree in one minute.! !In 30 Minutes hour hand will move 1/2 * 30 = 15 degree! !Hence, Angle between hands is 120 - 15 = 105 degree.

#### Question No 14

A girl accompanied a woman. on being asked who the girl was, the woman replied. "She is the daughter of the wife of my mother's only son". How was the girl related to woman?

Solution!
Woman's mother's only son means her brother and the girl is daughter of her brother.!So the girl is niece of the woman..

#### Question No 15

In a box ratio of DVD to VCD is 2/3. Which of the following cannot be the total number of CD's in the box?

Solution!
As 2+3 = 5, So total number of CD's must be multiple of 5.! !In the options all are multiple of 5 except 11! !So 11 is the correct answer..

#### Question No 16

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be

Solution!
Let the present ages of son and father be x and (60 -x) years respectively.! !Then,!(60 - x) - 6 = 5(x - 6)!54 - x = 5x - 30!6x = 84!x = 14! !Hence, Son's age after 6 years = (x+ 6)!= 20 years.

#### Question No 17

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is

Solution!
Man's rate in still water = (15 - 2.5) km/hr!= 12.5 km/hr! !Man's rate against the current = (12.5 - 2.5) km/hr!= 10 km/hr.

#### Question No 18

FRANKENSTEIN is to SHELLEY as DRACULA is to..

Solution!
No answer description available for this question..

#### Question No 19

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 20

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 21

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 22

Six years ago, the ratio of the ages of Kunal and Sagar was 6/5. Four years hence, the ratio of their ages will be 11/10. What is Sagar's age at present?

Solution!
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.! !Then,![(6x + 6) + 4]/[(5x + 6) + 4] = 11/10!10(6x + 10) = 11(5x + 10)!5x = 10!x = 2! !Hence, Sagar's present age = (5x + 6) = 16 years..

#### Question No 23

At an educational trip of a school ratio of boys to girls students was 4/5. how many students were on the tour?

Solution!
Data is insufficient for this problem. But we can find the answer from the options. As 4 + 5 = 9, So answer should be multiple of 9 to fullfil the condition of 4/5 ratio..

#### Question No 24

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 25

March 1st is Wednesday. Which month of the same year has the same calendar?

Solution!
Odd days from March to October! !3 + 2 +3 +2 +3 +3 +2 +3 = 21/7 = 0.! !If odd day is 0 then next month has the same calendar.! !Hence, November will have same calender as March..

#### Question No 26

What will be the selling price of an article that was bought for \$1150 and sold at profit of 6%?

Solution!
6% of 1150!= (1150*6)/100 = 69! !Selling price = 1150+69 = 1219.

#### Question No 27

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

Solution!
Speed of the train relative to man = (63 - 3) km/hr!= 60 km/hr = 60 * (5/18)m/s!= (50/3)m/s! !Hence, Time taken to pass the man!= 500 * (3/50)s!= 30 seconds.

#### Question No 28

Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1/5. What is Sandeep's father's age at present?

Solution!
Let the age of Sandeep and his father before 10 years be x and 5x respectively.! !Given that Sandeep's age after six years will be three-seventh of his father's age! !x + 16 = (3/7)(5x + 16)!7x + 112 = 15x + 48!8x = 64!x = 8! !Sandeep's father's present age = 5x + 10!= 5*8 + 10 = 50.

#### Question No 29

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 30

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