Preperation of Ten Minute Test

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Question No 1

What was the day of the week on 28th May, 2006?

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Solution!
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)! !Odd days in 1600 years = 0! !Odd days in 400 years = 0! !5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) = 6 odd days! !From January to 28 May (31 + 28 + 31 + 30 + 28 ) = 148 days! !So, 148 days = (21 weeks + 1 day) = 1 odd day.! !Total number of odd days = (0 + 0 + 6 + 1) = 7 = 0 odd day.! !Hence Given day is Sunday.

Question No 2

Pointing to a photograph. Bajpai said, "He is the son of the only daughter of the father of my brother." How Bajpai is related to the man in the photograph?

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Solution!
The man in the photo is the son of the sister of Bajpai. Hence, Bajpai is the maternal uncle of the man in the photograph..

Question No 3

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 4

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 5

A boat travels at the speed of 25 km/h upstream and 35 km/h downstream. Find the speed of water.

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Solution!
Upstream speed = y = 25 Km/h!Downstream speed = x = 35 Km/h!Speed of water = (1/2)*(x-y)!= (1/2)*(35-35) = 5 Km/h.

Question No 6

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

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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 7

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

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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 8

The study of ancient societies is called ...

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Solution!
No answer description available for this question..

Question No 9

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 10

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 11

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 12

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 13

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 14

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 15

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

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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 16

A man pointing to Stephen said, "I have no brother or sister, but that man's father is my father's son". What is he to Stephen?

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Solution!
The man who is pointing has no brother so Son of his father means he himself.! !So, he is Stephen's father..

Question No 17

The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?

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Solution!
Let's take the present age of the elder person = x! !and the present age of the younger person = x - 16! !(x - 6) = 3 (x-16-6)!x - 6 = 3x - 66!2x = 60!x = 60/2 = 30.

Question No 18

Race is to Fatigue as Fast is to?

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Solution!
As the result of Race is Fatigue similarly the result of Fast is Hunger..

Question No 19

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

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

Question No 20

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 21

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

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Solution!
The necessary part of a book is its pages; there is no book without pages. Not all books are fiction (choice a), and not all books have pictures (choice c). Learning (choice d) may or may not take place with a book..

Question No 22

Divide 672 by 12.

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Solution!
672 / 12 = 56.

Question No 23

Elated is to despondent as enlightened is to..

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Solution!
Elated is the opposite of despondent; enlightened is the opposite of ignorant..

Question No 24

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

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Solution!
Lightning is produced from a discharge of electricity, so electricity is essential. Thunder and rain are not essential to the production of lightning (choices b and d). Brightness may be a byproduct of lightning, but it is not essential (choice c)..

Question No 25

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 26

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

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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 27

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 28

A lotus flower always has

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Solution!
No answer description available for this question..

Question No 29

49/10 + 49/10 + 49/10 = ?

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Solution!
By taking LCM of these three terms we have! !(49+49+49)/10 = 147/10.

Question No 30

2+2*2?

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Solution!
2 + (2 * 2) = 6! !Multiplication is performed first and subtraction afterwards.! !Sequence of solving operators is!/!*!+!-.
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