# 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 Stain are terms related to cleaning..

#### Question No 2

By selling a car for Rs. 495000 an agent gains 10%. What was his cost?

Solution!
Let cost price of the car is x.
10% of x = 10x/100 = x/10

Now
495000 - (x/10) = x
4950000 - x = 10x
4950000 = 11x
x = 450000.

#### Question No 3

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 4

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 5

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

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

#### Question No 6

What is Antonym of RIBALD ?

Solution!
No answer description available for this question..

#### Question No 7

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 8

A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?

Solution!
Let the present age of the son = x years

Then present age the man = (x+24) years

Given that in 2 years, man's age will be twice the age of his son

(x+24) +2 = 2(x+2)
x = 22.

#### Question No 9

your father says, "I have four sons". But you say, "I have only three brothers". Who is wrong?

Solution!
Both are correct. The boy who is talking excluded himself..

#### Question No 10

An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

Solution!
Angle traced by the hour hand in 6 hours = (360/12)*6 = 180 degree.

#### Question No 11

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 12

A works twice as fast as B.If B can complete a work in 12 days independently,The number of days in which A and B can together finish the work in

Solution!
Ratio of rates of working of A and B = 2/1

So, ratio of times taken = 1/2

B's 1 day's work = 1/12

A's 1 day's work = 1/6
(2 times of B's work)

(A + B)'s 1 day's work = (1/6 + 1/12) = 1/4

So, A and B together can finish the work in 4 days..

#### Question No 13

The side of a square is 2. What is the area of the square?

Solution!
Area of square is
2 * (any side)
= 2 * (2) = 4 square units.

#### Question No 14

What is found necessarily in milk?

Solution!
No answer description available for this question..

#### Question No 15

ESSAY is to THESIS as ARTICLE is to..

Solution!
No answer description available for this question..

#### Question No 16

If the number 5r2 is divisible by 6, then r = ?

Solution!
572 is completely divisible by 6..

#### Question No 17

If 7th of the month falls two days after Wednesday. What day of the week will precede the 18th of month?

Solution!
On 7th the day is Friday. On 17 (day before 18) there will be Monday.

#### Question No 18

The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

Solution!
Time is 2.20.
Hour hand at 2 (nearly) and minute hand at 4.

Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]

Angle made by the hour hand in 20 minutes is 10 degrees, since it turns through 1/2 degrees in a minute.

Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degrees.

#### Question No 19

B5D means B is the father of D , B9D means B is the sister of D , B4D means B is the brother of D , B3D means B is the wife of D ; Which of the following means F is the mother of K?

Solution!
F3M = F is the wife of M

M5K = M is the father of K

Therefore, F is the mother of K..

#### Question No 20

A man was accompanying a girl, on being asked who the girl was the man said, "Her father was the only son of my father". What was the girl to man?

Solution!
If I am a boy and I am only son of my father it means I am talking about myself.

Same is the case here man is father of the girl..

#### Question No 21

Ahmad reads 24 pages of a book in 15 minutes. The rate of pages read per minute by him will be

Solution!
24/15 = 8/5
8/5 = 1.6.

#### Question No 22

Multiply 86 by 9 and add to 13 multiplied by 6.

Solution!
86 * 9 = 774

13 * 6 = 78

774 + 78 = 852.

#### Question No 23

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 24

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is

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

Relative speed = (x + 50) km/hr
= (x+50)*(5/18) m/s
= (250+5x)18 m/s

Distance covered = (108 + 112) = 220 m

So, 220/[(250 + 5x) /18] = 6
250 + 5x = 660

Hence, x = 82 km/hr.

#### Question No 25

South is to North-West as West is to?

Solution!
As North-West is 135 degree clockwise from South in the same were North-East is 135 degree clockwise from the West..

#### Question No 26

What is the angle between the two hands of a clock when the time shown by the clock is 5:30 p.m. ?

Solution!
q = 11/2 m ? 30h = 11/2 *30 - 30 *5 = 165-150 = 15 degree

.

#### Question No 27

The sum of the ages of a son and a father is 64. After 4 years the age of father will be three times that of his son's. The age of father is

Solution!
Let present age of son is x and present age of father is y.

Given that
x+y = 64 ...(1)

and
y+4 = 3(x+4)
y+4 = 3x + 12
y-3x = 8 ...(2)

Put value of x from equation(1) in equation(2)

y-3(64-y) = 8
y-192+3y = 8
4y = 200
y = 50

Hence present age of the father is 50 years..

#### Question No 28

Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

Solution!
Given that

(i)The difference of age b/w R and Q = The difference of age b/w Q and T
(ii) (R + T) = 50

So,R - Q = Q - T

(R + T) = 2Q

Now given that, (R + T) = 50

So, 50 = 2Q and therefore Q = 25

Question is (R - Q) = ?

Here we know the value(age) of Q (25), but we don't know the age of R.

Therefore, (R-Q) cannot be determined..

#### Question No 29

A lotus flower always has

Solution!
No answer description available for this question..

#### Question No 30

Price of an article decreased from $70 to$56. What is the percentage decrease?