IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

20 Minutes Test

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Test Report

Question No 1

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

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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 2

A person who knows many foreign languages is called ...

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Solution!
No answer description available for this question..

Question No 3

Price of an article increased from $50 to $55. What is the percentage increase?

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Solution!
Increase in price = 55-50 = 5!Percentage increase = (5/50)*100! =10%.

Question No 4

A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?

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Solution!
Age of C < Age of A < Age of B! !Given that sum of the ages of B and C is 50 years.! !Let's take B's age = x and C's age = 50-x! !Now we need to find out B's age - A's age.!But we cannot find out this with the given data..

Question No 5

If A is the brother of B; B is the sister of C; and C is the father of D, how D is related to A?

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Solution!
If D is Male, the answer is Nephew.! !If D is Female, the answer is Niece.! !As the sex of D is not known, hence, the relation between D and A cannot be determined.! !Note;! Niece - A daughter of one's brother or sister, or of one's brother-in-law or sister-in-law.!Nephew - A son of one's brother or sister, or of one's brother-in-law or sister-in-law..

Question No 6

Which of the following is not a leap year?

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Solution!
The century divisible by 400 is a leap year.! !So, The year 700 is not a leap year..

Question No 7

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?

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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 8

Which number is the odd one out, 10, 25, 45, 54, 60, 75, 80

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Solution!
Each of the numbers except 54 is multiple of 5..

Question No 9

What is synonym of AUGUST ?

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Solution!
No answer description available for this question..

Question No 10

At present, the ratio between the ages of Arun and Deepak is 4/3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

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Solution!
Let the present ages of Arun and Deepak be 4x years and 3x years respectively.! !Then,!4x + 6 = 26!4x = 20!x = 5! !Hence, Deepak's age = 3x = 15 years..

Question No 11

One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?

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Solution!
No answer description available for this question..

Question No 12

How many years have 29 days in February from 2001 to 2100.

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Solution!
100th year is not a leap year.!So 24 February's has 29 days..

Question No 13

What is the sum of first 5 positive even integers?

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Solution!
2+4+6+8+10 = 30.

Question No 14

A and B are sisters. C and D are brothers. A is the mother of D, what is the relation of B to C.

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Solution!
As A is mother of D so A is also mother of C because C and D are brothers.! !B is sister of A which means B is Aunt of both C and D..

Question No 15

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

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

Question No 16

A boy is sitting at the back seat of a car. When the driver suddenly starts moving the car (in forward direction), the boy experiences a backward force?

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Solution!
When a car suddenly starts the lower part of the boy's body will be in the motion while his upper will be at rest.! !Hence he will always experience backward force..

Question No 17

'A' is without sons and brothers, but the father of B is A's father's son. What is 'B' to 'A'?

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Solution!
A's father's son means A himself because A has no brother.! !So A is father of B.!As A has no son, B must be her daughter..

Question No 18

HYPOTENUSE is to PERIMETER as ARC is to..

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Solution!
No answer description available for this question..

Question No 19

Find the correctly spelt word.

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Solution!
No answer description available for this question..

Question No 20

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was?

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Solution!
Let the son's present age be x years. Then, (38 - x) = x! !2x = 38!x = 19! !Hence, Son's age 5 years back (19 - 5) = 14 years..

Question No 21

By selling an article for $84 shopkeeper earns 12% profit. What was cost price of the article?

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Solution!
Let cost price of the article is x.!12% of x = 12x/100 = 3x/25! !Now!84 - (3x/25) = x!2100 - 3x = 25x!2100 = 28x!x = 75! !Hence cost price of the article is $75..

Question No 22

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

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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 23

35 Kg of spinach costs Rs. 28. How many Kg of spinach can be bought for Rs. 16?

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Solution!
Amount of spinach which can be bought in Rs. 28 = 35 kg! !Amount of spinach which can be bought in Rs. 1 = 35/28 = 5/4 Kg! !Amount of spinach which can be bought in Rs. 16 =(5/4)*16 = 20 Kg.

Question No 24

A song always has

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Solution!
No answer description available for this question..

Question No 25

In a class the ratio of boys to girls is 1/3. What percent of students are girls?

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Solution!
Percentage of girls in class = (3/4)*100 = 75%.

Question No 26

Find the correctly spelt word.

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Solution!
No answer description available for this question..

Question No 27

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

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Solution!
S.P. = 85% of Rs. 1400 =(85/100)*1400!=Rs. 1190.

Question No 28

If a light flashes every 6 seconds, how many times will it flash in 3/4 of an hour?

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Solution!
3/4 of an hour = 3/4 * 60 * 60 = 2700! !Light will flash in 6 seconds = 2700/6 = 450 times.

Question No 29

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

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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 30

Which number is the odd one out, 8, 27, 64, 100, 125, 216, 343

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Solution!
All others are perfect cube of any number but 100 is not the perfect cube of any number..

Question No 31

The angle between the minute hand and the hour hand of a clock when the time is 4:20, is ?

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Solution!
Angle traced by hour hand in 13/3 hrs = (360/12 * 13/3) = 130 degree! !Angle traced by minute hand in 20 min = (360/60 * 20) = 120 degree! !So, required angle = 130 - 120 = 10 degree.

Question No 32

Choose the word which is different from the rest.

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Solution!
All except Microphone are related to eyes..

Question No 33

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 34

A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

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Solution!
Let x workers are required to complete the job.!As workers and days are inversely proportional to each other so!(x-7)/x = 24/30!30x - 210 = 24x!6x = 210!x = 35! !Hence 35 workers are required to complete the job in time..

Question No 35

A3P means A is the mother of P , A4P means A is the brother of P , A9P means A is the husband of P , A5P means A is the daughter of P ; Which of the following means that K is the mother-in-law of M?

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Solution!
M9N = M is the husband of N! !N5K = N is the daughter of K! !Hence, M is the son-in-law of K! !K3J = K is the mother of J! !Hence, K is a lady! !Hence, K is the mother-in-law of M..

Question No 36

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

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Solution!
Ratio of times taken by A and B = 100/130 = 10/13! !Suppose B takes x days to do the work.! !Then, 10/13 = 23/x!x = (23*13)/10!x = 299/10! !A's 1 day's work = 1/23! !B's 1 day's work = 10/299! !(A + B)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13! !Therefore, A and B together can complete the work in 13 days..

Question No 37

If the sum of three consecutive whole numbers is 15, what is the largest of the three numbers?

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Solution!
6+5+4 = 15.

Question No 38

Anil's swimming speed in still water is 14 km/h and speed of water is 4 km/h. How long will it take him to go upstream 50 km?

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Solution!
Anil's swimming speed in still water = u = 14 Km/h!Speed of water = v = 4 Km/h!Total upstream speed = u-v = 14-10 = 10 Km/h!Distance to cover = S = 50Km! !time = distance/speed!By putting values!time = t = 50/10 = 5 hours.

Question No 39

You are the son of my father's brother. What am I to you?

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Solution!
You are my uncle's child and I am your cousin..

Question No 40

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

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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 41

The difference of the ages of two brothers is 2 and the difference of the square of their ages is 16. The age of smaller one is?

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Solution!
Let present age of elder brother is y and present age of younger brother is x.! !Given that!y-x = 2 ...(1)! !and!(y^2)-(x^2) = 16!(y+x)(y-x) = 16! !Put value of (y-x) from equation(1)!2(y+x) = 16!y+x = 8 ...(2)! !By simultaneously solving equation(1) and equation(2) we have!y = 5!and!x = 3! !Hence present age of younger brother is 3 years..

Question No 42

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?

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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 43

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

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Solution!
Speed of the train relative to man = (63 - 3) km/hr!= 60 km/hr = 60 * (5/18)m/s!= (50/3)m/s! !Hence, Time taken to pass the man!= 500 * (3/50)s!= 30 seconds.

Question No 44

Seen through a mirror, the arms of a clock show 9:30 what is the actual time?

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Solution!
No answer description available for this question..

Question No 45

Which one of the following is always in 'Sentiment'?

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Solution!
No answer description available for this question..

Question No 46

A father is 3 years older than 3 times the age of his son. If the sum of their ages is 31 years, how old was father 3 years ago?

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Solution!
Let present age of son is x and present age of father is y.! !Given that!y = 3x+3 ...(1)! !and!x+y = 31!x = 31-y! !Put value of x in equation(1)!y = 3(31-y)+3!y = 93-3y+3!4y = 96!y = 24! !Three years ago!y = 24-3!y = 21! !Hence father was 21 years old 3 years ago..

Question No 47

A train is running at a speed of 10 km/h. What will be the distance covered by it in 3 hours?

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Solution!
As we know that!S=vt (here S is distance, v is speed and t is time). So!distance = 10*3 = 30Km.

Question No 48

How many degrees will the minute hand move, in the same time in which the second hand move 4800

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Solution!
Minute hand covers 480/60= 80.

Question No 49

1 , 1 , 2 , ? , 24 , 120 , 720

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Solution!
Multiply by 1, 2, 3 and so on....

Question No 50

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. What is the present age of the mother?

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Solution!
Let the present age of the person = x! !Then present age of the mother = 5x/2! !Given that , after 8 years, the person will be one-half of the age of his mother.! !(x + 8) = (1/2)(5x/2 + 8)!2x + 16 = 5x/2 + 8!x/2 = 8!x = 16! !Present age of the mother = 5x/2!= 5 * 16/2 = 40.

Question No 51

Price of a fuel increased by 10% during budget. If its price before budget was Rs. 55 per liter what is its price after the budget?

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Solution!
10% of 55 = (55*10)/100 = 5.5! !Price of fuel after butget = 55+5.5 = 60.5.

Question No 52

What is always in worry?

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Solution!
No answer description available for this question..

Question No 53

College is to Student as Hospital is to?

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Solution!
As Students read in College similarly Patients are treated in Hospital..

Question No 54

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

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Solution!
Speed downstream = (5 + 1) kmph = 6 kmph! !Speed upstream = (5 - 1) kmph = 4 kmph! !Let the required distance be x km.! !Then,! x/6 + x/4 = 1!2x + 3x = 12!5x = 12! !Hence, x = 2.4 km.

Question No 55

Deduct 7.3 from 34.2.

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Solution!
34.2 - 7.3 = 26.9.

Question No 56

Pointing to Gopi, Nalni says, "I am the daughter of the only son of his grandfather." How Nalni is related to Gopi?

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Solution!
Nalni is the daughter of the only son of Gopi's grandfather.! !Hence, it's clear that Nalni is the sister of Gopi..

Question No 57

INCUMBENT is to OFFICE as MONARCH is to..

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Solution!
No answer description available for this question..

Question No 58

0 , 100 , 6 , 94 , 12 , 88 , 18 , 82 , ? , ?

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Solution!
There are two sequences interwoven.! !Add 6 starting at 0 and deduct 6 starting at 100..

Question No 59

Divide 52 by 4 and add 17 multiplied by 3.

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Solution!
52 / 4 = 13! !17 * 3 = 51! !13 + 51 = 64.

Question No 60

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

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Solution!
Relative speed = (120 + 80) km/hr!= 200(5/18)m/s!= (500/9)m/s! !Let the length of the other train be x metres! !Then,!(x+270)/9 = 500/9!x + 270 = 500! !Hence, x = 230.
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