# IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

### Test Report

#### 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?

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..

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?

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?

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?

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?

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?

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 , ?

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

#### Question No 9

MUSICIAN is to VIRTUOSO as BARD is to..

Solution!
No answer description available for this question..

#### Question No 10

A car always has

Solution!
No answer description available for this question..

#### Question No 11

Choose the word which is different from the rest.

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?

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?

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?

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?