IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Test Report

Question No 1

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

Select the correct answer


Solution!
Speed downstream = (13 + 4) km/hr = 17 km/hr

Time taken to travel 68 km downstream = (68/17)hrs
= 4 hours.

Question No 2

The average age of A and B is 20. If C were to replace A, the average would be 19, and if B was replaced by C, the average would be 21. The age of C is

Select the correct answer


Solution!
Given that
(A+B)/2 = 20
A+B = 40 ...(1)

and
(C+B)/2 = 19
C+B = 38 ...(2)

and
(A+C)/2 = 21
A+C = 42 ...(3)

Put value of A from equation(1) in equation(3)
(40-B)+C = 42
C-B = 2 ...(4)

By simultaneously solving equation(2) and equation(4)
C = 20

Hence C is 20 years old..

Question No 3

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

Select the correct answer


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

Question No 4

Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train is

Select the correct answer


Solution!
Let the speed of each train be x m/sec.

Then, relative speed of the two trains = 2x m/sec.

So, 2x = (120 + 120)/12
2x = 20
x = 10

Hence, Speed of each train = 10 m/sec = 10 * (18/5)
= 36 km/hr.

Question No 5

Choose the word which is different from the rest.

Select the correct answer


Solution!
All except Sitar are wind instruments, while sitar is a string instrument..

Question No 6

cup is to lip as bird is to..

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Solution!
Cup is used to drink something with the help of lips.
Similarly birds collects grass with the help of beak to make her nest..

Question No 7

Ali and Nadeem are brothers. Maria and Mariam are sisters. If Ali's son is Mariam's brother, them what is the relation of Nadeem to Maria?

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Solution!
"Ali's son is Mariam's brothers" means Mariam and Maria are Ali's daughters.

So Nadeem (brother of Ali) is Uncle of Maria..

Question No 8

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

Select the correct answer


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.

Question No 9

Introducing a man, a woman said, "He is the only son of the mother of my mother." How is the woman related to the man?

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Solution!
The man is the only son of the mother of the woman.

Hence, the man is the maternal uncle of the woman.

So, the woman is the niece of the man..

Question No 10

The study of ancient societies is called ...

Select the correct answer


Solution!
No answer description available for this question..

Question No 11

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in

Select the correct answer


Solution!
(B + C)'s 1 day's work = (1/9 + 1/12) = 7/36

Work done by B and C in 3 days = (7/36 * 3)
= 7/12

Remaining work = (1 - 7/12)
= 5/12

Now, 1/24 work is done by A in 1 day.

So, 5/12 work is done by A in (24 * 5/12) = 10 days..

Question No 12

Choose the word that is a necessary part of the word "monopoly"

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Solution!
The essential part of a monopoly is that it involves exclusive ownership or control..

Question No 13

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is

Select the correct answer


Solution!
Let the ages of father and son 10 years ago be 3x and x years respectively.

Then,
(3x + 10) + 10 = 2[(x + 10) + 10]
3x + 20 = 2x + 40
x = 20
So, 3x + 10 = 70
and x + 10 = 30

Hence, ratio is 70/30 = 7/3..

Question No 14

7/21 in lowest term is?

Select the correct answer


Solution!
7/21 = 1/3.

Question No 15

Given that on 27th February 2003 is Thursday.What was the day on 27th February 1603?

Select the correct answer


Solution!
After every 400 years, the same day occurs.

Thus, if 27th February 2003 is Thursday, before 400 years i.e., on 27th February 1603 has to be Thursday..
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