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

### Test Report

#### Question No 1

What is the angle between the hands of a clock at 4:20 pm?

Solution!
At 4:20 hour hand is nearly at 4 but not perfectly at 4.
Minute hand is at 4

If both hands are at 4 then angle is 0 degree.

Hour hand move 1/2 degree in one minute.

In 20 Minutes hour hand will move 1/2 * 20 = 10 degree

Hence, Angle between hands is 0 + 10 = 10 degree.

#### Question No 2

The sum of the ages of two children is 12 and their product is 32. The age of elder one is

Solution!
Let age of younger child is x and age of elder child is y.

Given that
x+y = 12 ...(1)

and
xy = 32
x = 32/y

Put value of x in equation(1)
(32/y)+y = 12
32+(y^2) = 12y
(y^2)-12y+32 = 0
(y^2)-8y-4y+32 = 0
y(y-8)+4(y-8) = 0
(y-8)(y+4) = 0
y = -4 (impossible)
or
y = 8

Hence age of elder child is 8 years..

#### Question No 3

A train is travelling at the speed of 25m/s. In what time will it pass a man sitting on a platform if length of the train is 225 meters?

Solution!
Speed = v = 25m/s
Length of train = L = 225m

Time = t = L/v
t = 225/25 = 9

Hence train will pass the man in 9 seconds..

#### Question No 4

A train is running at the speed of 70 km/h. How far will it travel in 2.5 hrs?

Solution!
Speed = v = 70 Km/h
Time = t = 2.5h
Distance = S = v*t = 70*2.5 = 175Km.

#### Question No 5

A's son B is married with C whose sister D is married to E the brother of B. How D is related to A?

Solution!
Since E is the brother of B

Therefore, A is the father of E

but D is the wife of E.

Hence, D is the daughter-in-law of A..

If a amount of $120 is divided among A and B in the ratio 1/2 then A will get? #### Select the correct answer Solution! A will get half amount which B got.So if A's amount is 40, B's amount will be 80 (double of A's amount).. #### Question No 7 A takes twice as much time as B or thrice as much time as C to finish a piece of work.Working together,they can finish the work in 2 days.B can do the work alone in #### Select the correct answer Solution! Suppose A, B and C take x, x/2, x/3 days respectively to finish the work. Then, (1/x + 2/x + 3/x) = 1/2 6/x = 1/2 x=12 So, B takes (12/2) = 6 days to finish the work.. #### Question No 8 Melt is to Liquid as Freeze is to? #### Select the correct answer Solution! As on melting, liquid is formed similarly on freezing solid is formed.. #### Question No 9 By selling a Television for$572 Adam lost 12%. What was the cost price of the television?

Solution!
Let cost price of the television is x.
12% of x = 12x/100 = 3x/25

Now
(3x/25)+572 = x
3x + 14300 = 25x
14300 = 22x
x = 650

Hence cost price of the television is $650.. #### Question No 10 What is Synonym of COGENCY ? #### Select the correct answer Solution! No answer description available for this question.. #### Question No 11 0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , ? #### Select the correct answer Solution! Add 1, 3, 5, 7, etc.. #### Question No 12 If A$ B means A is the brother of B; A / B means A is the wife of B; A # B means A is the daughter of B and A * B means A is the father of B, which of the following indicates that U is the father-in-law of P?

Solution!
(1) P / Q = P is the wife of Q

(2) Q \$ T = Q is the brother of T

T # U = T is the daughter of U

Hence,
(3)Q is the son of U

U * W = U is the father of W.

From (1) and (3), U is the father-in-law of P..

#### Question No 13

If 1/2 x year ago A was 12 and 1/2 x years from now he will be 2x years old, how old will he be 3x years from now?

Solution!
Given that
A-(1/2)x = 12
2A-x = 24 ...(1)
and
A+(1/2)x = 2x
A+(1/2)x-2x = 0
A+(x-4x)/2 = 0
A-(3/2)x = 0
2A-3x = 0 ...(2)
By simultaneously solving equation(1) and (2) we have
x = 12
and
A = 18

Now
3x = 3*12 = 36

After 3x years A will be
18+36 = 54 years old.

#### Question No 14

Find the odd man out.

Solution!
No answer description available for this question..

#### Question No 15

A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?