IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Question No 1

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

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Solution!
Formula for converting from km/hr to m/s is!X km/hr = x * (5/18)m/s! !Therefore,!Speed = 45 * (5/18) = 25/2 m/s! !Total distance to be covered = (360 + 140) m = 500 m! !Formula for finding Time = (Distance/Speed)! !Hence, Required time = (500*2)/25!= 40 seconds.

Question No 2

Odometer is to mileage as compass is to..

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Solution!
An odometer is an instrument used to measure mileage. A compass is an instrument used to determine direction..

Question No 3

2+2*2?

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

Question No 4

A 150m long train is running at the speed of 36km/h. In what time will it pass the 80m long bridge?

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Solution!
Length of train = L1 = 150m!Speed = v = 36 Km/h = 36*(5/18) = 10 m/s!Length of bridge = L2 = 80m! !Time = t = (L1 + L2)/v!t = (150+80)/10 = 23! !Hence the train will pass the 80 meter long bridge in 23 seconds..

Question No 5

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

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Solution!
Let Ronit's present age be x years. Then, father's present age =(x + 3x) years!= 4x years.! !(4x + 8) = 5/2 (x+8)!8x + 16 = 5x + 40!3x = 24!x = 8! !Hence, required ratio = (4x+16)/(x+160)!= 48/24 = 2.

Question No 6

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 7

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 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 8

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

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

Question No 9

MUSICIAN is to VIRTUOSO as BARD is to..

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Solution!
No answer description available for this question..

Question No 10

A car always has

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Solution!
No answer description available for this question..

Question No 11

Choose the word which is different from the rest.

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Solution!
All except Bear belong to the cat family..

Question No 12

On 8th Feb, 2005 it was Tuesday.What was the day of the week on 8th Feb, 2004?

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Solution!
The year 2004 is a leap year. It has 2 odd days.! !So, The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.! !Hence, this day is Sunday..

Question No 13

If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?

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Solution!
P - M = P is the brother of M! !M + N = M is the mother of N! !N x Q = N is the sister of Q! !Therefore, P is the maternal uncle of Q..

Question No 14

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

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Solution!
Let, 1 man's 1 day's work = x!and!1 woman's 1 day's work = y! !Then, 4x + 6y = 1/8 nd 3x + 7y = 1/10! !Solving the two equations, we get!x = 11/400!y = 1/400! !So, One woman's 1 day's work = 1/400! !10 women's 1 day's work = (1/400 * 10) = 1/40! !Hence, 10 women will complete the work in 40 days..

Question No 15

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..
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