IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

20 Minutes Test

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Test Report

Question No 1

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?

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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..

Question No 2

Choose the word which is different from the rest.

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Solution!
In all except Trifle, 'tri' indicates 'three'..

Question No 3

What is average of 2, 5 , 6 , 9 and 18?

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Solution!
(2+5+6+9+18)/5 = 40/5 = 8.

Question No 4

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

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Solution!
Speed = (240/24) = 10m/s! !Hence, Required time = (240+650)/10!= 89 seconds.

Question No 5

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in

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Solution!
(A + B + C)'s 1 day's work = 1/6! !(A + B)'s 1 day's work = 1/8! !(B + C)'s 1 day's work = 1/12! !So, (A + C)'s 1 day's work = (2* 1/6) - (1/8 + 1/12)!= (1/3 - 5/24) = (3/24) = 1/8! !So, A and C together will do the work in 8 days..

Question No 6

Find the odd man out.

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Solution!
All except holiday make the same meanings..

Question No 7

Multiply 7 by 12 and divide by 6.

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Solution!
7 * 12 = 84! !84 / 6 = 14.

Question No 8

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

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Solution!
No answer description available for this question..

Question No 9

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?

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Solution!
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.! !Then,!x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50!5x = 20!x = 4! !Hence, Age of the youngest child = x = 4 years.

Question No 10

SALK is to PASTEUR as POLIO is to..

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Solution!
No answer description available for this question..

Question No 11

Find the odd man out.

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Solution!
All except wheel are name of wishes..

Question No 12

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is

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Solution!
Speed downstream = (15 + 3) kmph = 18 kmph! !Distance travelled = 18 * (12/60)km = 3.6 km.

Question No 13

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 14

John sold a house for $494500 at a profit of 15%. How much did he pay for it?

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Solution!
Let cost price of the house is x.!15% of x = 15x/100 = 3x/20! !Now!494500 - (3x/20) = x!9890000 -3x = 20x!9890000 = 23x!x = 430000! !Hence cost price of the house is $430000..

Question No 15

The ages of X and Y are in the ratio 7/4. If the sum of their present ages is 55, then the age of X is

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Solution!
Given that!x/y = 7/4 ...(1)! !and!x+y = 55 ...(2)! !From equation(1)!4x = 7y!y = (4/7)x! !Put value of y in equation(2)!x + (4/7)x = 55!(7x+4x)/7 = 55!11x = 385!x = 35! !Hence the age of x is 35 years..

Question No 16

A car always has

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Solution!
No answer description available for this question..

Question No 17

A mother's age after 5 years, will be twice the age of her daughter. The difference of their ages is 19. What is the age of mother?

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Solution!
Let present age of daughter is x and present age of mother is y.! !Given that!y+5 = 2(x+5)!y+5 = 2x+10!5-10 = 2x-y!y-2x = 5 ...(1)! !and also given that!y-x = 19 ...(2)! !By simultaneously solving equation(1) and equation(2) we can find!y = 33! !Hence mothers present age is 33 years..

Question No 18

January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?

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Solution!
The year 2007 is an ordinary year. So, it has 1 odd day.! !1st day of the year 2007 was Monday.! !1st day of the year 2008 will be 1 day beyond Monday.! !Hence, it will be Tuesday..

Question No 19

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

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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..

Question No 20

What is average of 2 , 5 and 8?

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Solution!
(2+5+8)/3 = 15/3 = 5.

Question No 21

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

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

Question No 22

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 23

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 24

John's income increased from $12000 to $14400. What is percentage increase in his income?

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Solution!
Increase in income = 14400 - 12000 = 2400! !Percentage increase = (2400/12000)*100 = 20%.

Question No 25

Kamal's age is 1/6 of his father's age. If kamal's 8th birthday was celebrated 2 years ago, what is father's present age?

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Solution!
Let Kamal's present age is x and his father's present age is y.! !Given that!y = 6x ...(1)! !and!x-2 = 8!x = 10! !Put value of x in equation(1)!y = 6*10!y = 60! !Hence father's present age is 60 years..

Question No 26

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 27

Pointing to Varman, Madhav said, "I am the only son of one of the sons of his father." How is Varman related to Madhav?

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Solution!
Madhav is the only son of one of the sons of Varman's father! !So, Either Varman is the father or uncle of Madhav..

Question No 28

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is

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Solution!
Let the ages of father and son 10 years ago be 3x and x years respectively.! !Then,!(3x + 10) + 10 = 2[(x + 10) + 10]!3x + 20 = 2x + 40!x = 20!So, 3x + 10 = 70!and x + 10 = 30! !Hence, ratio is 70/30 = 7/3..

Question No 29

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 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

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 32

378 * ? = 252

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Solution!
252 / 378 = 2/3.

Question No 33

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

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

Question No 34

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 35

A is the father of B but B is not A's son. What is relationship of B to A.

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Solution!
A is father of B but B is not A's son, then B must be daughter of A..

Question No 36

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 37

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

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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 38

The day that will come two days after tomorrow will be Thursday. What was the day that Dawned two days before yesterday.

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Solution!
As the day, two days after tomorrow is Thursday so tomorrow is Tuesday and today is Monday and yesterday was Sunday. Hence the day two days before yesterday was Friday..

Question No 39

A can do a work in 15 days and B in 20 days.If they work on it together for 4 days,then the fraction of the work that is left is

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Solution!
A's 1 day's work = 1/15! !B's 1 day's work = 1/20! !(A + B)'s 1 day's work = (1/15 + 1/20) = 7/60! !(A + B)'s 4 day's work = (7/60 * 4) = 7/15! !Therefore, Remaining work = (1 - 7/15) = 8/15.

Question No 40

INCUMBENT is to OFFICE as MONARCH is to..

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Solution!
No answer description available for this question..

Question No 41

INGRATE is to GRATITUDE as PROFLIGATE is to..

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Solution!
No answer description available for this question..

Question No 42

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 43

What is 10 less 5/9 of 117?

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Solution!
(5/9) * 117 = 65! !65 - 10 = 55.

Question No 44

DIFFIDENT is to CONFIDENCE as UNSTABLE is to..

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Solution!
No answer description available for this question..

Question No 45

Pride is to lion as school is to..

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Solution!
A group of lions is called a pride. A group of fish swim in a school..

Question No 46

X can do a piece of work in 40 days.He works at it for 8 days and then Y finished it in 16 days.How long will they together take to complete the work?

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Solution!
Work done by X in 8 days = (1/40 * 8)!= 1/5! !Remaining work = (1 - 1/5)!4/5! !Now, 4/5 work is done by Y in 16 days.! !Whole work will be done by Y in (16 * 5/4)!= 20 days! !So,!X's 1 day's work = 1/40!Y's 1 day's work = 1/20! !(X + Y)'s 1 day's work = (1/40 + 1/20) = 3/40! !Hence, X and Y will together complete the work in 40/3 days.

Question No 47

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

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Solution!
(20 x 16) women can complete the work in 1 day.! !So, woman's 1 day's work = 1/320! !(16 x 15) men can complete the work in 1 day.! !So, 1 man's 1 day's work = 1/240! !So, required ratio = (1/240) / (1/320)!= (1/3) / (1/4) = 4/3.

Question No 48

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 49

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

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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 50

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?

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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 51

What is the angle between the hands of a clock at 3:35 pm?

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Solution!
At 3:35 hour hand is nearly at 3!Minute hand is at 7! !Angle between 3 and 7 is 120 degree.! !Hour hand move 1/2 degree in one minute.! !In 35 Minutes hour hand will move 1/2 * 35 = 17.5 degree! !Hence, Angle between hands is 120 - 17.5 = 102.5 degree.

Question No 52

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

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Solution!
All shoes have a sole of some sort.Not all shoes are made of leather (choice b); nor do they all have laces (choice c).Walking (choice d) is not essential to a shoe..

Question No 53

The angle between the minute hand and the hour hand of a clock when the time is 8:30, is ?

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Solution!
Angle traced by hour hand in 17/2 hrs = (360/12 * 17/2) = 255 degree! !Angle traced by minute hand in 30 min = (360/60 * 30) = 180 degree! !So, Required angle = (255 - 180) = 75 degree.

Question No 54

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

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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 55

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 56

Cup is to coffee as bowl is to..

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Solution!
Coffee goes into a cup and soup goes into a bowl..

Question No 57

John's mother is sister of David's brother. What is John to David?

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Solution!
David is brother of John's mother.! !So John is nephew of David..

Question No 58

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 59

Danger always involves

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Solution!
No answer description available for this question..

Question No 60

If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?

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Solution!
M x N = M is the father of N! !N - C = N is the sister of C! !and C + F = C is the brother of F.! !Hence, M is the father of C or C is the son of M..
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