IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

20 Minutes Test

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Test Report

Question No 1

Find the odd man out.

Select the correct answer


Solution!
Other three are different type of windows..

Question No 2

Choose the word which is different from the rest.

Select the correct answer


Solution!
All except Morbid are synonyms of 'deceit'..

Question No 3

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

Select the correct answer


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

Question No 4

If P + Q means P is the brother of Q; P x Q means P is the wife of Q and P % Q means P is the daughter of Q then which of the following means D is the uncle of A?

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Solution!
No answer description available for this question..

Question No 5

March 1st is Wednesday. Which month of the same year has the same calendar?

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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 6

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

Select the correct answer


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

Question No 7

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 8

What is 45% of 300?

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Solution!
45 * (300/100) = 135! !Quick way to find answer from options is! !50% of 300 is 150 so 45% of 300 should be less than 150! !So, it may be 149 or 135!149 is very close to 150 which is not possible! !Hence, 135 is correct answer..

Question No 9

Pointing towards a girl, Abhisek says, "This girl is the daughter of only a child of my father." What is the relation of Abhisek's wife to that girl?

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Solution!
Only the child of my father means 'Abhisek' himself.!This means the girl is the daughter od Abhisek.! !Hence, Abhisek's wife is the mother of the girl..

Question No 10

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is

Select the correct answer


Solution!
Cost Price (C.P.) = (4700 + 800) = Rs. 5500! !Selling Price (S.P.) = Rs. 5800! !Gain = (S.P.) - (C.P.) = (5800 - 5500) = Rs. 300! !Gain % = (300/5500) * 100 = 60/5 %.

Question No 11

What is synonym of AUGUST ?

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Solution!
No answer description available for this question..

Question No 12

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child?

Select the correct answer


Solution!
Let the age of the youngest child = x! !Then the ages of 5 children can be written as x, (x+3), (x+6),(x+9) and (x+12).! !Then,!X + (x+3) + (x+6) + (x+9) + (x+12) = 50!5x + 30 =50!5x = 20!x = 20/5 = 4.

Question No 13

March 1st is Wednesday. Which month of the same year starts with the same day?

Select the correct answer


Solution!
March has 3 odd days!April has 2 odd days!May has 3 odd days!June has 2 odd days!July has 3 odd days!August has 3 odd days!September has 2 odd days!October has 3 odd days! !Total 21 odd days. 21/7 = 0. So November has start with the same day..

Question No 14

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 15

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

Select the correct answer


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 16

Which year has the same calendar as 1700 ?

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Solution!
Year 1700 has 1 odd day!1701 has 1 odd day!1702 has 1 odd day!1703 has 1 odd day!1704 has 2 odd day!1705 has 1 odd day! !Hence, 1706 will has same calender..

Question No 17

Average of 3 numbers is 15. What is the sum of 3 numbers?

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Solution!
Let sum is x. ! !x/3 = 15!x = 15*3 = 45.

Question No 18

A boat covers a certain distance downstream in 1 hour, while it comes back in 1.5 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

Select the correct answer


Solution!
Let the speed of the boat in still water be x kmph.! !Then,!Speed downstream = (x + 3) kmph! !Speed upstream = (x - 3) kmph! !So, (x + 3) * 1 = (x - 3)* 3/2!2x + 6 = 3x - 9! !Hence, x = 15 kmph.

Question No 19

A bus covers a distance of 60 Km in 1.5 hr. How far it would travel in half hour.

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Solution!
Distance covered in 1.5 hr = 60! !Distance covered in 1 hr = 60/1.5 = 40 Km! !Distance Covered in 0.5 hr = 40 * 0.5 = 20.

Question No 20

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?

Select the correct answer


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 21

Find the odd man out.

Select the correct answer


Solution!
Remaining are rainbow colours..

Question No 22

PORTION is to DOSE as FOOD is to..

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Solution!
No answer description available for this question..

Question No 23

A man's age is three times his son's. In 15 years it will be double that of his son's. How old is the son now?

Select the correct answer


Solution!
Let Son's age is x!Mans Age = 3x! !Given that!3x+15 = 2(x+15)!3x+15 = 2x+30!3x-2x = 30-15! !x = 15! !Hence son is 15 years old..

Question No 24

Which of the following is not a leap year?

Select the correct answer


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

Question No 25

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

Select the correct answer


Solution!
Let!C.P. of each article be Re. 1 C.P. of x articles = Rs. x.! !S.P. of x articles = Rs. 20.! !Profit = Rs. (20 - x)! !So, (20-x)/x * 100 = 25!2000 - 100x = 25x!125x = 2000! !Hence, x = 16.

Question No 26

At an educational trip of a school ratio of boys to girls students was 4/5. how many students were on the tour?

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Solution!
Data is insufficient for this problem. But we can find the answer from the options. As 4 + 5 = 9, So answer should be multiple of 9 to fullfil the condition of 4/5 ratio..

Question No 27

Ages of A and B are in ratio 8/7. 27 years ago their ages were in the ratio 5/4. The age of B is

Select the correct answer


Solution!
Given that!A/B = 8/7 ...(1)! !and!(A-27)/(B-27) = 5/4!5B-135 = 4A-108 ...(2)! !From equation(1) we have!A = (8/7)B! !Put value of A in equation(2)!5B-135 = 4*[(8/7)B]-108!5B-27 = (32/7)B!5B-(32/7)B = 27!(35B-32B)/7 = 27!3B = 189!B = 63! !Hence the age of B is 63 years..

Question No 28

The miser gazed ...... at the pile of gold coins in front of him.

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Solution!
No answer description available for this question..

Question No 29

A man can row down a 10 mile stream in 2 hours and up in 5 hours. What is the average speed in miles per hour?

Select the correct answer


Solution!
Downstream distance covered in 2 hours = 10 miles!Downstream distance covered in 1 hour = 10/2 = 5 miles!Downstream speed = 5 mile/h! !and!Upstream distance covered in 5 hours = 10 mile!Upstream distance covered in 1 hour = 10/5 = 2 miles! !Upstream speed = 2 mile/hr! !Average speed = (1/2)*(2+5) = 3.5 mile/hr.

Question No 30

Average of 4 numbers is 24. What is the sum of the four numbers?

Select the correct answer


Solution!
x/4 = 24!x = 24*4!x = 96.

Question No 31

Given that on 27th February 2003 is Thursday.What was the day on 27th February 1603?

Select the correct answer


Solution!
After every 400 years, the same day occurs.! !Thus, if 27th February 2003 is Thursday, before 400 years i.e., on 27th February 1603 has to be Thursday..

Question No 32

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Select the correct answer


Solution!
Deduct 3.25 each time..

Question No 33

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7/9, how old is Sachin?

Select the correct answer


Solution!
Let Rahul's age be x years.! !Then,!Sachin's age = (x - 7) years.! !(x-7)/x = 7/9!9x - 63 = 7x!2x = 63!x = 31.5! !Hence, Sachin's age =(x - 7)= 24.5 years.

Question No 34

Find the odd man out.

Select the correct answer


Solution!
No answer description available for this question..

Question No 35

A $ B means A is the father of B; A # B means A is the sister of B; A * B means A is the daughter of B and A / B means A is the brother of B. Which of the following indicates that M is the wife of Q?

Select the correct answer


Solution!
Q $ R = Q is the father of R! !R / T = R is the brother of T! !Hence, Q is the father of T! !T * M = T is the daughter of M! !Hence, M is the mother of T! !Hence, M is the wife of Q..

Question No 36

One who has little faith in human sincerity and goodness is called ...

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Solution!
No answer description available for this question..

Question No 37

What is the angle between the hands of a clock at 1 o'clock?

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Solution!
At 1 o'clock the minute hand points to the 12 and the hour hand points to the 1.! !So we need to find the angle between the 12 and the 1.! !There are 12 total numbers on the clock and total angle on complete turn of the clock is 360 degree, so each one must be 360/12 = 30 degree.! !So the angle between the hands of a clock at 1 o'clock is 30 degree..

Question No 38

Amit said - "This girl is the wife of the grandson of my mother". How is Amit related to the girl?

Select the correct answer


Solution!
The girl is the wife of grandson of Amit's mother i.e., the girl is the wife of son of Amit.! !Hence, Amit is the father-in-law of the girl..

Question No 39

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

Select the correct answer


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

Question No 40

Find the odd man out.

Select the correct answer


Solution!
No answer description available for this question..

Question No 41

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is

Select the correct answer


Solution!
Man's rate in still water = (15 - 2.5) km/hr!= 12.5 km/hr! !Man's rate against the current = (12.5 - 2.5) km/hr!= 10 km/hr.

Question No 42

What is the product of all the numbers in the dial of a telephone ?

Select the correct answer


Solution!
Since one of the numbers on the dial of a telephone is zero, so the product of all the numbers on it is 0..

Question No 43

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Select the correct answer


Solution!
Speed = 54 * (5/18)m/s!= 15 m/s! !Length of the train = (15 x 20)m = 300 m! !Let the length of the platform be x metres! !Then,!(x+300)/36 = 15!x + 300 = 540! !Hence, x = 240 m.

Question No 44

On selling 17 balls at $720, there is a loss equal to the cost price of 5 balls.The cost price of a ball is

Select the correct answer


Solution!
(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)! !C.P. of 12 balls = S.P. of 17 balls = $720! !C.P. of 1 ball = $60.

Question No 45

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 46

Which one of the following is a prime number ?

Select the correct answer


Solution!
307 is only number which is divisible by 1 and by itself only..

Question No 47

TAWDRY is to SHOWY as MERETRICIOUS is to..

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Solution!
No answer description available for this question..

Question No 48

10 women can complete a work in 7 days and 10 children take 14 days to complete the work.How many days will 5 women and 10 children take to complete the work?

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Solution!
1 woman's 1 day's work =1/70! !1 child's 1 day's work =1/140! !(5 women + 10 children)'s 1 day's work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7! !Hence, 5 women and 10 children will complete the work in 7 days..

Question No 49

John is 35 years older than his new born cousin. How old will the cousin be, when his age is 1/6 that of John's?

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Solution!
We can simply check it from options. If John's cousins age is 7 then John's age is 42!and!1/6 0f 42 = 7!Hence 7 fulfills the required condition..

Question No 50

APOCRYPHAL is to CERTAINTY as CHAOTIC is to..

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Solution!
No answer description available for this question..

Question No 51

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 52

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

Select the correct answer


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 53

If A $ B means B is the father of A; A # B means B is the mother of A; A * B means B is the sister of A and A / B means B is the husband of A, which of the following indicates that N is the grandmother of P?

Select the correct answer


Solution!
No answer description available for this question..

Question No 54

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Select the correct answer


Solution!
C.P. of 6 toffees = Re. 1! !S.P. of 6 toffees = 120% of Re. 1 = Rs. 6/5! !For Rs. 6/5,!toffees sold = 6.! !For Re. 1, toffees sold = (6 * 5/6) = 5.

Question No 55

If A + B means A is the brother of B; A x B means A is the son of B; and A % B means B is the daughter of A then which of the following means M is the maternal uncle of N?

Select the correct answer


Solution!
Because the sex of O is not known..

Question No 56

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

Select the correct answer


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

Question No 57

Joseph's speed of rowing in still water is 12 km/h and he finds that it takes him twice as long to row up as to row down the river. Find the speed of water in the river.

Select the correct answer


Solution!
Let speed of water is x.!Speed in still water = u = 12 Km/h! !As downstream speed is double of upstream speed! !(12+x) = 2(12-x)!12+x = 24-2x!3x = 12!x = 4! !Hence speed of water is 4 Km/h..

Question No 58

Which one of the following a 'Drama' must have?

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Solution!
No answer description available for this question..

Question No 59

The grapes are now ...... enough to be picked.

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Solution!
No answer description available for this question..

Question No 60

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

Select the correct answer


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..
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