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

### Test Report

#### Question No 1

Marathon is to race as hibernation is to..

Solution!
A marathon is a long race and hibernation is a lengthy period of sleep..

#### Question No 2

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 3

A train 100 meters long crosses a 150 meters long bridge in 25 seconds. What is the speed of the train?

Solution!
Length of the train = L1 = 100m
Length of the bridge = L2 = 150m
Time = t = 25s

v = (L1+L2)/t
By putting values
v = (100+150)/25
v = 250/25 = 10m/s = 10*(18/5) = 36 Km/h

Hence speed of the train is 36 Km/h..

An article was bought for $300 and sold at a loss of 8%. What is the selling price of the article? #### Select the correct answer Solution! 8% of 300 = (300*8)/100 = 24 Selling price = 300-24 = 276. #### Question No 5 In a Zoo deers and lions are in ratio of 5/2. If there are 20 deers how many lion are there? #### Select the correct answer Solution! 20 is 4 times of 5 So in this way 4 times of 2 will be 8.. #### Question No 6 Choose the word which is different from the rest. #### Select the correct answer Solution! All except New York are capital cities.. #### Question No 7 March 1st is Wednesday. Which month of the same year has the same calendar? #### Select the correct answer 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 8 OUTWIT is to RUSE as FRUSTRATE is to.. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 9 Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds.If one is moving twice as fast the other, then the speed of the faster train is #### Select the correct answer Solution! Let the speed of the slower train be x m/sec Then, speed of the faster train = 2x m/sec Relative speed = (x + 2x) m/sec = 3x m/sec So, (100+100)/8 = 3x 24x = 200 x = 25/3 So, speed of the faster train = 50/3 m/s = (50/3 * 18/5) = 60km/hr. #### Question No 10 What is the angle between the hands of a clock at 8:50 am? #### Select the correct answer 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 11 3 years ago, the average age of C and D was 18 years. With E joining them, the average becomes 22 years. How old is E now? #### Select the correct answer Solution! Given that [(C-3)+(D-3)]/2 = 18 C-3+D-3 = 36 C+D = 42 ...(1) and also given that (C+D+E)/3 = 22 C+D+E = 66 Put value of C+D from equation(1) 42+E = 66 E = 66-42 E = 24 Hence E is 24 years old now.. #### Question No 12 0 , 100 , 6 , 94 , 12 , 88 , 18 , 82 , ? , ? #### Select the correct answer Solution! There are two sequences interwoven. Add 6 starting at 0 and deduct 6 starting at 100.. #### Question No 13 A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is #### Select the correct answer Solution! 2 kmph = 2 * (5/18)m/s = 5/9 m/s 4 kmph = 4 * (5/18)m/s = 10/9 m/s Let the length of the train be x metres and its speed by y m/sec. then, x/[y - (5/9)] = 9 and x/[y - (10/9)] = 10 So, 9y - 5 = x and 10(9y - 10) = 9x 9y - x = 5 and 90y - 9x = 100 On solving, we get x = 50 Hence, Length of the train is 50 m.. #### Question No 14 January 1, 2008 is Tuesday.What day of the week lies on Jan 1, 2009? #### Select the correct answer Solution! The year 2008 is a leap year. So, it has 2 odd days. 1st day of the year 2008 is Tuesday (Given) So, 1st day of the year 2009 is 2 days beyond Tuesday. Hence, it will be Thursday.. #### Question No 15 A is Son of B but B is not the father of A. Who is B? #### Select the correct answer Solution! B is female and she is mother of A. #### Question No 16 When a plot is sold for$18,700, the owner loses 15%.At what price must that plot be sold in order to gain 15%?

Solution!
85 / 18700 = 115 / x

x = (18700 * 115)/85 = 25300

Hence, S.P. = \$25,300.

#### Question No 17

Choose the word which is different from the rest.

Solution!
All except Microphone are related to eyes..

#### Question No 18

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

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

#### Question No 19

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 20

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg.His profit percent is

Solution!
C.P. of 56 kg rice = (26 x 20 + 30 x 36) = (520 + 1080) = Rs. 1600

S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680

Hence, Gain = (80/1600)*100 = 5%.

#### Question No 21

What is the angle between the hands of a clock at 7:05 am?

Solution!
At 7:05 hour hand is nearly at 7
Minute hand is at 1

Angle between 7 and 1 is 180 degree.

Hour hand move 1/2 degree in one minute.

In 5 Minutes hour hand will move 1/2 * 5 = 2.5 degree

Hence, Angle between hands is 180 - 2.5 = 177.5 degree.

#### Question No 22

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 23

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

Solution!
(5/8) * 112 = 70

and
(7/8) * 88 = 77

Hence, (7/8) of 88 is greater..

#### Question No 24

AUTHENTIC is to APOCRYPHAL as CONVENTIONAL is to..

Solution!
No answer description available for this question..

#### Question No 25

Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?

Solution!
No answer description available for this question..

#### Question No 26

Add 32 + 8 + 18 + 25.

Solution!
32 + 8 = 40

40 + 18 = 58

58 + 25 = 83.

#### Question No 27

What is average of 3, 5 and 10?

Solution!
(3+5+10)/3 = 18/3 = 6.

#### Question No 28

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 29

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

Solution!
Let the mother's present age be x years.

Then,
the person's present age = (2/5)x years.

(2/5)x + 8 = (1/2)(x + 8)
2(2x + 40) = 5(x + 8)
x = 40
.

#### Question No 30

C's mother was four times as old as C ten years ago. After 10 years she will be twice as old as C is now. How old C is now?

Solution!
Let C's present age is x and his mother's age is y.

Given that
y = 4(x-10)
y = 4x-40
4x-y = 40 ...(1)

and
y+10 = 2x
2x-y = 10 ...(2).

By simultaneously solving equation(1) and equation(2) we find
x = 15

Hence C is 15 years old..
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