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

### Test Report

#### Question No 1

Choose the word which is different from the rest.

Solution!
All except Scallop live in shells..

#### Question No 2

P, the daughter of K is married to G, X and G are brothers, on the basis of this information tell how P is related to G.

Solution!
"P, the daughter of K is married to G" means P is wife of G..

#### Question No 3

What is Antonym of ENORMOUS ?

Solution!
No answer description available for this question..

#### Question No 4

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

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

#### Question No 5

Choose the word which is different from the rest.

Solution!
All except Stain are terms related to cleaning..

#### Question No 6

The ratio of A's age and B's age is 3/7, and the difference of their ages is 16 years. Find the age of B.

Solution!
Given that
A/B = 3/7 ...(1)

and
B-A = 16 ...(2)
Put value of A from equation(1) in equation(2)
B-(3/7)B = 16
(7B-3B)/7 = 16
4B = 112
B = 28

Hence Age of B is 28 years..

#### Question No 7

A is two years older than B who is twice as old as C. The total of the ages of A, B and C is 27. How old is B?

Solution!
Let the age of C = x.

Then

Age of B = 2x

Age of A = 2 + 2x

The total age of A,B and C =27

(2+2x) + 2x + x = 27
5x = 25
B's age = 2x = 2 * 5 = 10.

#### Question No 8

What is the average of 8, 13, 25, 43, and 11?

Solution!
(8+13+25+43+11)/5 = 100/5
= 20.

#### Question No 9

John's income increased from $12000 to$14400. What is percentage increase in his income?

Solution!
Increase in income = 14400 - 12000 = 2400

Percentage increase = (2400/12000)*100 = 20%.

#### Question No 10

Bill's age is 1/3 of Mike's age, who is 60% of James' age. Tom is twice as old as Mike. What is the ratio of Bill's age to Tom's age?

Solution!
Let Bill's age is Z, Mike's age is Y and Tom's age is X.

Given that
Z = (1/3)Y
and
Y = (60/100)X
Y = (6/10)X

Tom's Age is double of Mike's age mean his age is 2y.
Now Bill's age is (1/3)Y and Tom's age is 2Y and ratio between them is
[(1/3)Y] / 2Y
(1/3)*(1/2) = 1/6

Hence ratio between Bill's and Tom's age is 1/6..

#### Question No 11

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 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

REASON is to SFBTPO as THINK is to?

Solution!
As,
R + 1 = S
E + 1 = F
A + 1 = B
S + 1 = T
O + 1 = P
N + 1 = O

Similarly,
T + 1 = U
H + 1 = I
I + 1 = J
N + 1 = O
K + 1 = L.

#### Question No 14

What is smallest integer greater than 1 that leaves remainder 1 when it is divided by 5 or 8?

Solution!
40 is the least common multiple of 5 and 8 so 41 will be the smalles integer that leaves 1 when it is divided by 5 or 8..

#### Question No 15

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 16

What is 3206 divided by 7?

Solution!
3206 / 7 = 458

No need to perform complete devision first digit comes 4 after devision and there is only one option in which first digit is 4..

#### Question No 17

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 18

Sponge is to porous as rubber is to..

Solution!
A sponge is a porous material. Rubber is an elastic material..

#### Question No 19

Pointing to a lady a person said, "The son of her only brother is the brother of my wife." How is the lady related to the person?

Solution!
Brother of person's wife is brother-in-law of the person.

Hence, the son of lady's brother is brother-in-law of the person.

Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the sister of the person's father-in-law..

#### Question No 21

What is 55% of 320?

Solution!
55 * (320 / 100) = 176

Quick way to find answer from options is

50% of 320 is 160 so answer should be greater than 160
Only one option is greater than 160 which is 176..

#### Question No 22

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 23

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 24

Pointing to Varman, Madhav said, "I am the only son of one of the sons of his father." How is Varman related to Madhav?

Solution!
Madhav is the only son of one of the sons of Varman's father

So, Either Varman is the father or uncle of Madhav..

#### Question No 25

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 26

Find the odd man out.

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

#### Question No 27

David can swim at the speed of 30 km/h in still water and speed of water is 4 km/h. What is his speed of swimming against the direction of water?

Solution!
David's speed in still water = u = 30 Km/h
Speed of water = v = 4 Km/h
David's swimming speed against water = u-v = 30-4 = 26 Km/h.

#### Question No 28

A is thrice as good as a workman as B and therefore is able to finish a job in 60 days less than B.Working together,they can do it in

Solution!
Ratio of times taken by A and B = 1/3

The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

If difference of time is 2 days, B takes 3 days.

If difference of time is 60 days, B takes (3/2 * 60) = 90 days

So, A takes 30 days to do the work.

A's 1 day's work = 1/30

B's 1 day's work = 1/90

(A + B)'s 1 day's work = (1/30 + 1/90) = 4/90 = 2/45

Hence, A and B together can do the work in 45/2 = 22.5 days.

#### Question No 29

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 30

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is

Solution!
Speed of the train relative to man = (125/10) m/s
= (25/2)m/s
= (25/2) * (18/5)km/hr
= 45 km/hr

Let the speed of the train be x km/hr.
Then,
relative speed = (x - 5) km/hr

x - 5 = 45
Hence, x = 50 km/hr.
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