IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

Test Report

Question No 1

What is average of 2, 5 , 6 , 9 and 18?

Solution!
(2+5+6+9+18)/5 = 40/5 = 8.

Question No 2

John's fail to pass ratio in mathematics test is 5/2. In how many tests did he pass if total tests conducted were 42?

Solution!
Pass ratio = (2/7)*42 = 12.

Question No 3

What is the angle between the hands of a clock at 8:50 am?

Solution!
At 8:50 hour hand is nearly at 8
Minute hand is at 10

Angle between 8 and 10 is 60 degree.

Hour hand move 1/2 degree in one minute.

In 50 Minutes hour hand will move 1/2 * 50 = 25 degree

Hence, Angle between hands is 60 - 25 = 35 degree.

Question No 4

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

Question No 5

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 6

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

Solution!
Let
C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x)

So, (20-x)/x * 100 = 25
2000 - 100x = 25x
125x = 2000

Hence, x = 16.

Question No 7

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 8

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is

Solution!
Let the speed of the stream be x km/hr.

Then,
Speed downstream = (15 + x) km/hr

Speed upstream = (15 - x) km/hr

So, [30/(15 + x)] + [30/(15 - x)] = 9/2
900/(225 - x*x) = 9/2

x = 5 km/hr.

Question No 9

Find the odd man out.

Solution!
No answer description available for this question..

Question No 10

If the sum of three consecutive whole numbers is 15, what is the largest of the three numbers?

Solution!
6+5+4 = 15.

Question No 11

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 12

X & Y are the parents of Z but Z is not the son of X. What is Z to X.

Solution!
X and Y are parents of Z. But Z is not the son of X its mean Z is the daughter of X..

Question No 13

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

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 14

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 15

If P $Q means P is the father of Q; P # Q means P is the mother of Q and P * Q means P is the sister of Q, then N # L$ P * Q shows which of the relation of Q to N?

Solution!
As the sex of Q is not known, hence, data is inadequate..

Question No 16

Find the odd man out.

Solution!
Atheist are the people who do not believe in God..

Question No 17

If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?

Solution!
M x N = M is the father of N

N - C = N is the sister of C

and C + F = C is the brother of F.

Hence, M is the father of C or C is the son of M..

Question No 18

Find the correctly spelt word.

Solution!
No answer description available for this question..

Question No 19

If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

Solution!
The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.

So, the day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

Hence 6th March, 2004 is Sunday..

Question No 20

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

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

Question No 21

A train always has

Solution!
No answer description available for this question..

Question No 22

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 23

By how many degrees does the minute hand move in the same time, in which the hour hand move by 18 degree?

Solution!
18*2 *6 = 216 degree

.

Question No 24

An article was bought for \$300 and sold at a loss of 8%. What is the selling price of the article?

Solution!
8% of 300
= (300*8)/100 = 24

Selling price = 300-24 = 276.

Question No 25

Artist is to painting as senator is to..

Solution!
An artist makes paintings; a senator makes laws..

Question No 26

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 27

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 28

In a fort there is enough food sufficient for 1200 men for 10 days. How long the food would have last for if there would have been 1000 men.

Solution!
Let food will last for x days.
As men and days are inversely proportional to each other so
x/10 = 1200/1000
x = 12

Hence food will last for 12 days if there were 1000 men..

Question No 29

Master is to OCUVGT as LABOUR is to?

Solution!
As
M + 2 = O
A + 2 = C
S + 2 = U
T + 2 = V
E + 2 = G
R + 2 = T

Similarly
L + 2 = N
A + 2 = C
B + 2 = D
O + 2 = Q
U + 2 = W
R + 2 = T
.

Question No 30

Which is greater, (A) 5/8 of 112 , (B) 7/8 of 88?