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

### Test Report

#### Question No 1

Find the odd man out.

Solution!
All except holiday make the same meanings..

#### Question No 2

A's age is 3/4 of that of B's. Two years ago A's age was 1/2 of what B will be in 4 years. How old is A now?

Solution!
Given that
A = (3/4)B ...(1)

and
A-2 = (1/2)(B+4)
2A-4 = B+4
2A-B = 8

Put value of B from equation(1)
2A-(4/3)A = 8
6A-4A = 24
2A = 24
A = 12

Hence A is 12 years old now..

#### Question No 3

At 3:40, the hour hand and the minute hand of a clock form an angle of ...

Solution!
Angle traced by hour hand in 12 hrs = 360 degree

Angle traced by it in 11/3 hrs = (360/12 * 11/3) = 110 degree

Angle traced by minute hand in 60 min. = 360 degree

Angle traced by it in 40 min = (360/60 * 40) = 240 degree

So, Required angle (240 - 110) = 130 degree.

#### Question No 4

A man can row 1 km upstream in 20 minutes, and downstream in 15 minutes. What is the speed of the current?

Solution!
20 minutes = 20/60 = 1/3 hours
Upstream distance covered in 1/3 hours = 1 Km
Upstream distance covered in 1 hour = 1/(1/3) = 3 Km
Upstream speed = y = 3 Km/h

Now
15 minutes = 15/60 = 1/4 hours
Downstream distance covered in 1/4 hours = 1 Km
Downstream distance covered in 1 hour = 1/(1/4) = 4 Km
Downstream speed = 4 Km/h

speed of water = (1/2)*(4-3) = 1/2 = 0.5 Km/h.

#### Question No 5

100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen.The percentage of profit or loss is

Solution!
C.P. of 1 orange = 350/100 = Rs. 3.50

S.P. of 1 orange = 48/12 = Rs. 4

Hence, Gain% = (0.50)/(3.50) * 100 = 100/7 %.

#### Question No 6

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is

Solution!
Speed = 45 * (5/18)
= 25/2 m/s

Time = 30 sec

Let the length of bridge be x metres

Then,
(130 + x)/30 = 25/2
2(130 + x) = 750

Hence, x = 245 m.

#### Question No 7

CAROUSE is to SEDATE as ENTHUSE is to..

Solution!
No answer description available for this question..

#### Question No 8

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 9

Pointing to a photograph Anjali said, "He is the son of the only son of my grandfather." How is the man in the photograph related to Anjali?

Solution!
The man in the photograph is son of Anjali's grandfather's son i.e., the son of Anjali's father.

Hence, the boy is the brother of Anjali..

#### Question No 10

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

Solution!
An election does not exist without voters. The election of a president (choice a) is a byproduct. Not all elections are held in November (choice c), nor are they nationwide (choice d)..

#### Question No 11

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 12

The ages of C and D are in 6/11 and E is 6 years younger than D. If the sum of ages is 134, then what is the age of D?

Solution!
Given that
C/D = 6/11
C = (6/11)D ...(1)

and
C+D+E = 134

As E is 6 years younger from D so we can put D-6 instead of D
C+D+D-6 = 134
C+2D = 140
Put value of C from equation(1)
(6/11)D+2D = 140
6D+22D = 140
28D = 1540
D = 55

Hence D is 55 years old..

#### Question No 13

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

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

378 * ? = 252

Solution!
252 / 378 = 2/3.

#### Question No 15

Pointing to a woman, Abhijit said, "Her granddaughter is the only daughter of my brother." How is the woman related to Abhijit?