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

### Test Report

#### Question No 1

Pointing a photograph X said to his friend Y, "She is the only daughter of the father of my mother." How X is related to the person of photograph?

Solution!
'The only daughter of the father of X's mother' means mother of X.

Hence X is the son of the lady in the photograph..

#### Question No 2

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 3

Yard is to inch as quart is to..

Solution!
A yard is a larger measure than an inch (a yard contains 36 inches). A quart is a larger measure than an ounce (a quart contains 32 ounces)..

#### Question No 4

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 5

Choose the word which is different from the rest.

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

#### Question No 6

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 8

If P + Q means P is the brother of Q; P x Q means P is the wife of Q and P % Q means P is the daughter of Q then which of the following means D is the uncle of A?

Solution!
No answer description available for this question..

#### Question No 9

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

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

#### Question No 10

The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

Solution!
Time is 2.20.
Hour hand at 2 (nearly) and minute hand at 4.

Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]

Angle made by the hour hand in 20 minutes is 10 degrees, since it turns through 1/2 degrees in a minute.

Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degrees.

#### Question No 11

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

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

#### Question No 12

At present, the ratio between the ages of Arun and Deepak is 4/3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

Solution!
Let the present ages of Arun and Deepak be 4x years and 3x years respectively.

Then,
4x + 6 = 26
4x = 20
x = 5

Hence, Deepak's age = 3x = 15 years..

#### Question No 13

What is 45% of 300?

Solution!
45 * (300/100) = 135

Quick way to find answer from options is

50% of 300 is 150 so 45% of 300 should be less than 150

So, it may be 149 or 135
149 is very close to 150 which is not possible

#### Question No 14

SLUGGARD is to ENERGY as SLATTERN is to..

Solution!
No answer description available for this question..

#### Question No 15

Choose the word which is different from the rest.