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

### Test Report

#### Question No 1

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 2

Which of the following is not a leap year?

Solution!
The century divisible by 400 is a leap year.

So, The year 700 is not a leap year..

#### Question No 3

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

Solution!
Speed downstream = (5 + 1) kmph = 6 kmph

Speed upstream = (5 - 1) kmph = 4 kmph

Let the required distance be x km.

Then,
x/6 + x/4 = 1
2x + 3x = 12
5x = 12

Hence, x = 2.4 km.

#### Question No 4

Add 5683 to 1729 and divide by 2.

Solution!
5683 + 1729 = 7412

7412 / 2 = 3706.

#### Question No 5

By selling a car for Rs. 495000 an agent gains 10%. What was his cost?

Solution!
Let cost price of the car is x.
10% of x = 10x/100 = x/10

Now
495000 - (x/10) = x
4950000 - x = 10x
4950000 = 11x
x = 450000.

#### Question No 6

Our teacher has come out with another puzzle for her students. It is, "If three days ago was the day before Friday, What day will be after tomorrow?"

Solution!
Three days ago was Thursday and today is Sunday, so the day after tomorrow will be Tuesday..

#### Question No 7

What is 3/4 of 92 plus 13?

Solution!
(3/4) * 92 = 69

69 + 13 = 82.

#### Question No 8

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

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

#### Question No 9

Choose the word which is different from the rest.

Solution!
All except Sharp are related to dimension..

#### Question No 10

Safe is to Secure as Protect is to?

Solution!
As safe ans secure have same meaning in the same way protect and guard have same meaning..

#### Question No 11

A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is

Solution!
Let the speed of the stream x mph.

Then,
Speed downstream = (10 + x) mph

Speed upstream = (10 - x) mph

So, [36/(10 - x)] - [36/(10 + x)] = 90/60
(72x)*60 = 90 (100 - x*x)
(x+ 50)(x - 2) = 0

Hence, x = 2 mph..

#### Question No 12

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 13

Find the odd man out.

Solution!
All except wheel are name of wishes..

#### Question No 14

Tina is twice as old as David. 15 years ago, Tina's age was 5 times the age of David. What is the present age of Tina?

Solution!
Let David's age is x and Tina's age is y.

Given that
y = 2x
y-2x = 0 ...(1)

and also given that
y-15 = 5(x-15)
y-15 = 5x-75
y-5x = -60 ...(2)

By simultaneously solving equation(1) and equation(2)
y = 40

Hence Tina's present age is 40 years..

#### Question No 15

A man pointing to Stephen said, "I have no brother or sister, but that man's father is my father's son". What is he to Stephen?

Solution!
The man who is pointing has no brother so Son of his father means he himself.

So, he is Stephen's father..

#### 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

Careful is to cautious as boastful is to..

Solution!
Careful and cautious are synonyms (they mean the same thing). Boastful and arrogant are also synonyms..

#### Question No 18

If 14th August falls on Monday, then what will be the day on 14th September.

Solution!
Monday will fall on 14, 21 and 28th August. By taking into account that August has 31 days 1st September will be fall on Friday. So, 7th and 14th September will be on Friday..

#### Question No 19

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

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 20

20 years ago my age was 1/3 of what it is now. What is my present age?

Solution!
Let my present age is x.

Given that
x-20 = (1/3)x
3x-60 = x
2x = 60
x = 30

Hence my present age is 30 years..

#### Question No 21

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

Solution!
572 is completely divisible by 6..

#### Question No 22

BOVINE is to OVINE as COW is to..

Solution!
No answer description available for this question..

#### Question No 23

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 24

If p is and odd integer and 7p > 50 and 3p < 35 then p is?

Solution!
7*11 = 77 (greater than 35) and 3*7 = 33 (lesser than 35)

*Note that 8 is also true but in question it is explicitly said that integer must be odd..

#### Question No 25

The 15th of the month falls on the day preceding Sunday, on what day will the 6th of the month fall?

Solution!
As on 15th of the month day is Saturday so on 8th the day will also Saturday. Hence on 6th of the month day will be Thursday(Two days before Saturday)..

#### Question No 26

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is

Solution!
Speed = 78 * (5/18) = 65/3 m/s

Time = 1 minute = 60 seconds

Let the length of the tunnel be x metres

Then,
(800+x)/60 = 65/3
3(800 + x) = 3900

Hence, x = 500.

#### Question No 27

Hussey introduced a girl to his friend and said, "Her mother is the only daughter of my Mother-in-law". What is the girl to Hussey?

Solution!
"Girl's mothers is only daughter of my mother-in-law" means Girls mother is the wife of Hussey. So Hussey is father of the girl..

#### Question No 28

Find the odd man out.

Solution!
All except Building expresses the meaning of place where someone lives..

#### Question No 29

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 30

Ali sold a house at a loss of 15% for Rs. 382500. What was the cost price of the house?

Solution!
Let cost price of the house is x.
15% of x = 15x/100 = 3x/20

Now
(3x/20)+382500 = x
3x + 7650000 = 20x
7650000 = 17x
x = 450000
Hence cost price of the house is Rs. 450000.
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