Preperation of Twenty Minute Test

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Question No 1

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 2

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is

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Solution!
Speed = 78 * (5/18) = 65/3 m/s! !Time = 1 minute = 60 seconds! !Let the length of the tunnel be x metres! !Then,!(800+x)/60 = 65/3!3(800 + x) = 3900! !Hence, x = 500.

Question No 3

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 4

INCUMBENT is to OFFICE as MONARCH is to..

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Solution!
No answer description available for this question..

Question No 5

A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?

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Solution!
No answer description available for this question..

Question No 6

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?

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

Question No 7

flow is to river as stagnant is to..

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Solution!
As Water of a River flows similarly water of Pool is Stagnant..

Question No 8

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 9

A father is 15 times as old as his son. however, 18 years later, he will be only thrice as old as the son. What is the father's present age?

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Solution!
Let present age of the son is x and present age of Father is y.! !Given that!y = 15x!15x-y = 0 ...(1)! !and also given that!y+18 = 3(x+18)!y+18 = 3x+54!y-3x = 36 ...(2)! !By simultaneously solving equation(1) and equation(2)!y = 45! !Hence father's present age is 45 years..

Question No 10

When R is divided by 7 remainder is 3. What is the remainder when 3R is divided by 7?

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Solution!
No answer description is available for this question..

Question No 11

How many times in a day, the hands of a clock are straight?

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Solution!
In 12 hours, the hands coincide or are in opposite direction 22 times.! !So, In 24 hours, the hands coincide or are in opposite direction 44 times a day..

Question No 12

Country is to President as State is to?

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Solution!
As President is the nominal head of a country, similarly Governer is the nominal head of a State..

Question No 13

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

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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 14

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 15

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. ?

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Solution!
No answer description available for this question..

Question No 16

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

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

Question No 17

Ten years ago a father was seven times as old as his son, two years hence, twice his age will be equal to five times his son's. What is the present age of son?

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Solution!
Let present age of son is x and present age of father is y.! !Given that!y-10 = 7(x-10)!y-10 = 7x-70!y-7x = -70+10!7x-y = 60 ...(1)! ! and also given that!2(y+2) = 5(x+2)!2y+4 = 5x+10!2y-5x = 6 ...(2)By simultaneously soving equation(1) and equation(2)!x = 14! !Hence present age of son is 14 years..

Question No 18

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%?

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Solution!
85 / 18700 = 115 / x! !x = (18700 * 115)/85 = 25300! !Hence, S.P. = $25,300.

Question No 19

Meena is thrice as old as Sheraz. Fatima will be twice as old as Meena 6 years hence. Six years ago Sheraz was five years old. What is Fatima's present age?

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Solution!
Let present age of Sheraz is x and present age of Fatima is y.! !So,!Meena's age = 3x! !Given that!y+6 = 2(3x+6) ...(1)!and!x-6 = 5!x = 11! !Put value of x in equation(1)! !y+6 = 2(33+6)!y+6 = 78!y = 72! !Hence Fatima's present age is 72 years..

Question No 20

If you write down all the numbers from 1 to 100, then how many times do you write 3 ?

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Solution!
Clearly, from 1 to 100, there are ten numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, 53, 63, 73, 83, 93; and ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38, 39.! !So, will be written 10 + 10 = 20 times..

Question No 21

Exercise is to gym as eating is to..

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Solution!
A gym is a place where people exercise.A restaurant is a place where people eat..

Question No 22

Which of the following is the least number which is divisible by both 12 and 18?

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Solution!
Least common multiple of 12 and 18 is 36.

Question No 23

Find the odd man out.

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Solution!
No answer description available for this question..

Question No 24

Choose the word which is different from the rest.

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Solution!
All except Locust are reptiles, while locust is an insect..

Question No 25

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 26

If average of 8, 7, 12, 15 and x is 11 what is x?

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Solution!
(8+7+12+15+x)/5 = 11! !42+x = 55! !x = 55-42!=13.

Question No 27

TAWDRY is to SHOWY as MERETRICIOUS is to..

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Solution!
No answer description available for this question..

Question No 28

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?

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Solution!
No answer description available for this question..

Question No 29

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 30

2012 January 1st is Sunday,then which day is the Indian Independence day of the same year.

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Solution!
30+ 29+ 31 + 30 + 31 + 30 + 31+15 = 227/7 = reminder = 3! !So, Independence day is Wednesday..

Question No 31

100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen.The percentage of profit or loss is

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Solution!
C.P. of 1 orange = 350/100 = Rs. 3.50! !S.P. of 1 orange = 48/12 = Rs. 4! !Hence, Gain% = (0.50)/(3.50) * 100 = 100/7 %.

Question No 32

BOVINE is to OVINE as COW is to..

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Solution!
No answer description available for this question..

Question No 33

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

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Solution!
Decrease in price = 70-56 = 14! !Percentage decrease = (14/70)*100 = 20%.

Question No 34

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 35

The sum of the ages of two children is 12 and their product is 32. The age of elder one is

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Solution!
Let age of younger child is x and age of elder child is y.! !Given that!x+y = 12 ...(1)! !and!xy = 32!x = 32/y! !Put value of x in equation(1)!(32/y)+y = 12!32+(y^2) = 12y!(y^2)-12y+32 = 0!(y^2)-8y-4y+32 = 0!y(y-8)+4(y-8) = 0!(y-8)(y+4) = 0!y = -4 (impossible)!or!y = 8! !Hence age of elder child is 8 years..

Question No 36

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

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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 37

What is the length of a bridge if a train of length 550 meters travelling at the speed of 20m/s can cross it in 35 seconds?

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Solution!
Length of train = L1 = 550m!Speed = v = 20m/s!Time = t = 35s!Length of bridge = L2 = ?! !t = (L1+L2)/v!By putting values!35 = (550+L2)/20!700 - 550 = L2!L2 = 150m! !Hence length of bridge is 150 meter..

Question No 38

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Select the correct answer


Solution!
Deduct 3.25 each time..

Question No 39

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

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

Question No 40

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 41

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 42

What is 55% of 320?

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Solution!
55 * (320 / 100) = 176! !Quick way to find answer from options is! !50% of 320 is 160 so answer should be greater than 160!Only one option is greater than 160 which is 176..

Question No 43

My mother is sister of your brother. What am I to you?

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Solution!
"My mother is sister of your brother" you are brother of my mother and I am your nephew..

Question No 44

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

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

Question No 45

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 46

64% of the children in school are girls.What percentage are boys?

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Solution!
100 - 64 = 36%.

Question No 47

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!
No answer description available for this question..

Question No 48

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 49

Pointing to a lady a person said, "The son of her only brother is the brother of my wife." How is the lady related to the person?

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Solution!
Brother of person's wife is brother-in-law of the person.! !Hence, the son of lady's brother is brother-in-law of the person.! !Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the sister of the person's father-in-law..

Question No 50

A train running at the speed of 60 km/hr crosses a pole in 9 seconds.What is the length of the train?

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Solution!
Speed = 60 * (5/18) = 50/3 m/sec! !Length of the train = (Speed x Time) = (50/3) * 9 = 150 meters.

Question No 51

Pointing a photograph X said to his friend Y, "She is the only daughter of the father of my mother." How X is related to the person of photograph?

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Solution!
'The only daughter of the father of X's mother' means mother of X.! !Hence X is the son of the lady in the photograph..

Question No 52

It would be Tuesday two days after tomorrow. What was two days before yesterday?

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

Question No 53

X is 4 times as old as y. 4 years ago, X was 10 times as old as Y. What will be the ratio of their ages 6 years hence?

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Solution!
Given that!X = 4Y ...(1)! !and!X-4 = 10(Y-4)!X-4 = 10Y-40!X-10Y = -36!10Y-X = 36 ...(2)! !Put value of X from equation(1) in equation(2)!10Y-4Y = 36!6Y = 36!Y = 6! !Put value of Y in equation(1)!X = 4*6!X = 24! !After 6 years!Y = 24+6!Y = 30!and!X = 6+6!X = 12! !Ratio between X and Y is!30/12 = 5/2! !Hence after 6 years ratio between ages of X and Y will be 5/2..

Question No 54

P is the mother of K; K is the sister of D; D is the father of J. How is P related to J?

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Solution!
P is the mother of K! !K is the sister of D! !D is the father of J.! !Therefore, J is the nephew or niece of K and P is the grandmother of J..

Question No 55

Choose the word which is different from the rest.

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

Question No 56

A train of length 150 metres is running at the speed of 20m/s. In what time will it cross a 130 metre long bridge?

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Solution!
Length of the train = L1 = 150m!Length of bridge = L2 = 130m!Speed = v = 20m/s! !t = (L1 + L2)/v!t = (150+130)/20!t = 14! !Hence the train will pass the 130 meter long bridge in 14 seconds..

Question No 57

What will be the selling price of an article that was bought for $350 and sold at a loss of 14%?

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Solution!
14% of 350!(350*14)/100 = 49! !selling price of the article = 350 - 49 = 301.

Question No 58

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

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Solution!
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.!= 66 * (5/18) = (55/3)m/s! !Hence, Time taken to pass the man!= 110 * (3/55) = 6 seconds.

Question No 59

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

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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 60

A can do a piece of work in 4 hours; B and C together can do it in 3 hours,while A and C together can do it in 2 hours.How long will B alone take to do it?

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Solution!
A's 1 hour's work = 1/4! !(B + C)'s 1 hour's work = 1/3! !(A + C)'s 1 hour's work = 1/2! !(A + B + C)'s 1 hour's work = (1/4 + 1/3) = 7/12! !B's 1 hour's work = (7/12 - 1/2) = 1/12! !Hence, B alone will take 12 hours to do the work..
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