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

### Test Report

#### Question No 1

The sum of the present ages of a mother and daughter is 63. Three years back if the age of the mother was double that of the daughter, then the present age of the daughter is

Solution!
Let mother's present age is x and daughters present age is y

Given that
x+y = 63 ...(1)
and

x-3 = 2(y-3)
x-3 = 2y-6
x-2y = -6+3
x-2y = -3 ...(2)

By simultaneously solving equation(1) and equation(2) We'll find
y = 22

Hence present age of the daughter is 22 years..

#### Question No 2

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?

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

#### Question No 3

What is the difference of the product and the quotient of 8 and 8?

Solution!
8*8 = 64
and
8/8 = 1
So,
64 - 1 = 63.

#### Question No 4

What is Synonym of ERUDITE ?

Solution!
No answer description available for this question..

#### Question No 5

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 6

A can do a piece of work in 4 hours; B and C together can do it in 3 hours,while A and C together can do it in 2 hours.How long will B alone take to do it?

Solution!
A's 1 hour's work = 1/4

(B + C)'s 1 hour's work = 1/3

(A + C)'s 1 hour's work = 1/2

(A + B + C)'s 1 hour's work = (1/4 + 1/3) = 7/12

B's 1 hour's work = (7/12 - 1/2) = 1/12

Hence, B alone will take 12 hours to do the work..

#### Question No 7

The Average age of a class of 22 students is 21 years.The average increased by 1 when the teacher's age also included.What is the age of the teacher?

Solution!
No answer description available for this question..

#### Question No 8

Secretly is to openly as silently is to..

Solution!
Secretly is the opposite of openly, and silently is the opposite of noisily..

#### Question No 9

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 10

Management always involves

Solution!
No answer description available for this question..

#### Question No 11

ARCHIPELAGO is to ISLAND as CONSTELLATION is to..

Solution!
No answer description available for this question..

#### Question No 12

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 13

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

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

#### Question No 14

Which one of the following is always found in 'Phrase'?

Solution!
No answer description available for this question..

#### Question No 15

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is

Solution!
Let the length of each train be x metres.

Then, distance covered = 2x metres.

Relative speed = (46 - 36) km/hr
= 10 * (5/18)m/s
= 25/9 m/s
So, 2x/36 = 25/9
= 2x = 100

Hence, x = 50.

#### Question No 16

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 17

If a light flashes every 6 seconds, how many times will it flash in 3/4 of an hour?

Solution!
3/4 of an hour = 3/4 * 60 * 60 = 2700

Light will flash in 6 seconds = 2700/6 = 450 times.

#### Question No 18

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

Solution!
Relative speed = (120 + 80) km/hr
= 200(5/18)m/s
= (500/9)m/s

Let the length of the other train be x metres

Then,
(x+270)/9 = 500/9
x + 270 = 500

Hence, x = 230.

#### Question No 19

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 20

Divide 52 by 4 and add 17 multiplied by 3.

Solution!
52 / 4 = 13

17 * 3 = 51

13 + 51 = 64.

#### Question No 21

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?

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 22

In a ship the provisions are sufficient for 800 men for 50 days. How long will these be sufficient for if there would have been 200 more men?

Solution!
Let provisions will be sufficient for 200 men for x days.
As men and days are inversely proportional to each other so
x/50 = 800/1000
x = 40

Hence provisions will be sufficient for 200 men for 40 days..

#### Question No 23

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.

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 24

Choose the word which is different from the rest.

Solution!
In all except Trifle, 'tri' indicates 'three'..

#### Question No 25

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

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 26

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 27

The angle between the minute hand and the hour hand of a clock when the time is 4:20, is ?

Solution!
Angle traced by hour hand in 13/3 hrs = (360/12 * 13/3) = 130 degree

Angle traced by minute hand in 20 min = (360/60 * 20) = 120 degree

So, required angle = 130 - 120 = 10 degree.

#### Question No 28

What is 8/40 expressed as a decimal?

Solution!
Simple way is

(8/4) * (1/10) = 2 * 0.1 = 0.2.

#### Question No 29

Price of a car increased from $400000 to$420000. What is the percentage increase?

Solution!
Increase in price = 420000 - 400000
= 20000

Percentage increase = (20000/400000)*100
= 5%.

#### Question No 30

A motorcyclist travels 200 Km in 1 hr. How many minutes if would take him to travel 120 Km?