IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

10 Minutes Test

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Test Report

Question No 1

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 2

Find the odd man out.

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Solution!
All except New York capitals..

Question No 3

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 4

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 5

January 1, 2008 is Tuesday.What day of the week lies on Jan 1, 2009?

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Solution!
The year 2008 is a leap year. So, it has 2 odd days.! !1st day of the year 2008 is Tuesday (Given)! !So, 1st day of the year 2009 is 2 days beyond Tuesday.! !Hence, it will be Thursday..

Question No 6

Our teacher has come out with another puzzle for her students. It is, "If three days ago was the day before Friday, What day will be after tomorrow?"

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Solution!
Three days ago was Thursday and today is Sunday, so the day after tomorrow will be Tuesday..

Question No 7

A man can row 4.5 km an hour in still water but takes twice as long to row up a stream as down it. What is the rate of stream in km/h?

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Solution!
Let rate of stream (speed of water) is x.!Man's speed in still water = u = 4.5 Km/h! !Given that!4.5+x = 2(4.5-x)!4.5+x = 9-2x!3x = 4.5!x = 1.5! !Hence rate of stream is 1.5 Km/h.

Question No 8

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 9

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 10

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

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

Question No 11

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 12

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 13

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

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Solution!
No answer description available for this question..

Question No 14

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 15

In a ship the provisions are sufficient for 800 men for 50 days. How long will these be sufficient for if there would have been 200 more men?

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Solution!
Let provisions will be sufficient for 200 men for x days.!As men and days are inversely proportional to each other so!x/50 = 800/1000!x = 40! !Hence provisions will be sufficient for 200 men for 40 days..

Question No 16

Multiply 86 by 9 and add to 13 multiplied by 6.

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Solution!
86 * 9 = 774! !13 * 6 = 78! !774 + 78 = 852.

Question No 17

PORTION is to DOSE as FOOD is to..

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Solution!
No answer description available for this question..

Question No 18

What is 15 multiplied by 11?

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Solution!
15 * 11 = 165.

Question No 19

Pointing towards a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?

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Solution!
Only daughter of my mother = myself.! !Hence, the woman is the mother of the man..

Question No 20

A * B means A is the sister of B , A $ B means B is the mother of A , A + B means A is the brother of B , A = B means B is the father of A ; Which of the following means M is the maternal uncle of N?

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Solution!
No answer description available for this question..

Question No 21

Ahmad reads 24 pages of a book in 15 minutes. The rate of pages read per minute by him will be

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Solution!
24/15 = 8/5!8/5 = 1.6.

Question No 22

Sum of three consecutive odd integers is 51. Which of the following is the smallest of the three?

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Solution!
19+17+15 = 51.

Question No 23

Embarrassed is to humiliated as frightened is to..

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Solution!
If someone has been humiliated, they have been greatly embarrassed.If someone is terrified, they are extremely frightened..

Question No 24

Price of a car increased from $400000 to $420000. What is the percentage increase?

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Solution!
Increase in price = 420000 - 400000! = 20000! !Percentage increase = (20000/400000)*100! = 5%.

Question No 25

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 26

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 27

The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

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Solution!
Time is 2.20.!Hour hand at 2 (nearly) and minute hand at 4.! !Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]! !Angle made by the hour hand in 20 minutes is 10 degrees, since it turns through 1/2 degrees in a minute.! !Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degrees.

Question No 28

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 29

Choose the word which is different from the rest.

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Solution!
All except Chalk are obtained from crops..

Question No 30

Choose the word which is different from the rest.

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Solution!
All except Veil cover the head, while veil covers the face..
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