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

### Test Report

#### Question No 1

M is the father of N who is the son of V. In order to know the relation of M to P, which of the statement/statements is/are necessary? (1) P is the brother of V (2) The daughter of N is the granddaughter of V

Solution!
M is the father of N and N is the son of V.! !Hence, V is the mother of N.! !From (1), P is the brother of V! !Therefore, M is the brother-in-law of P because V is the wife of M.! !From (2), the daughter of N, is the granddaughter of V.!From this we do not get any relation of M to P..

#### Question No 2

Oar is to rowboat as foot is to..

Solution!
An oar puts a rowboat into motion. A foot puts a skateboard into motion..

#### Question No 3

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?

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..

#### Question No 4

What is 3/4 of 92 plus 13?

Solution!
(3/4) * 92 = 69! !69 + 13 = 82.

#### Question No 5

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?

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 6

What is 8/40 expressed as a decimal?

Solution!
Simple way is! !(8/4) * (1/10) = 2 * 0.1 = 0.2.

#### Question No 7

100/101 = ?

Solution!
100/101 = 0.990099.

#### Question No 8

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is

Solution!
Let the ages of father and son 10 years ago be 3x and x years respectively.! !Then,!(3x + 10) + 10 = 2[(x + 10) + 10]!3x + 20 = 2x + 40!x = 20!So, 3x + 10 = 70!and x + 10 = 30! !Hence, ratio is 70/30 = 7/3..

#### Question No 9

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is

Solution!
Let the speed of the second train be x km/hr.! !Relative speed = (x + 50) km/hr!= (x+50)*(5/18) m/s!= (250+5x)18 m/s! !Distance covered = (108 + 112) = 220 m! !So, 220/[(250 + 5x) /18] = 6!250 + 5x = 660! !Hence, x = 82 km/hr.

#### Question No 10

If A + B means A is the brother of 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 means M is the uncle of P?

Solution!
M + K = M is the brother of K! !K % T = K is the father of T! !T x P = T is the sister of P! !Therefore, K is the father of P and M is the uncle of P..

#### Question No 11

0 , 100 , 6 , 94 , 12 , 88 , 18 , 82 , ? , ?

Solution!
There are two sequences interwoven.! !Add 6 starting at 0 and deduct 6 starting at 100..

#### Question No 12

The last day of a century cannot be ...

Solution!
100 years contain 5 odd days.! !So, last day of 1st century is Friday.! !200 years contain (5 x 2) = 3 odd days.! !So, Last day of 2nd century is Wednesday.! !300 years contain (5 x 3) = 15 = 1 odd day.! !So, Last day of 3rd century is Monday.! !400 years contain 0 odd day.! !So, Last day of 4th century is Sunday.! !This cycle is repeated.!Hence Last day of a century cannot be Tuesday or Thursday or Saturday..

#### Question No 13

Which of the following is a leap year?

Solution!
The century divisible by 400 is a leap year.! !So, The year 800 is a leap year..

#### Question No 14

Which number is the odd one out, 8, 27, 64, 100, 125, 216, 343

Solution!
All others are perfect cube of any number but 100 is not the perfect cube of any number..

#### Question No 15

If we are going early in the morning towards the south the sun will be visible at our left..

Solution!
Early in the morning the sun is in the direction of east. If we are going towards the south, our face will be in the direction of South and our left hand will be in the direction of east.! !Hence if we go early in the morning towards the south the sun will always be visible at our left..

#### Question No 16

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 17

With an increase of 12% salary of Ali became Rs13440. What was his salary before increase?

Solution!
Let before increase Ali's salary was x.!12% of x = 12x/100 = 3x/25! !Now!13440 - 3x/25 = x!336000 - 3x = 25x!336000 = 28x!x = 12000! !Hence Ali's salary before increase was Rs. 12000.

#### Question No 18

A train travelling at the speed of 10m/s can cross a bridge in 23 seconds. If length of the train is 120 meters. What is length of the bridge?

Solution!
Speed = v = 10m/s!Time = t = 23s!Length of train = L1 = 120m!Length of bridge = L2 = ?! !t = (L1+L2)/v!By putting values!23 = (120+L2)/10!L2 = 230 - 120 = 110m! !Hence bridge is 110m long..

#### Question No 19

BOVINE is to OVINE as COW is to..

Solution!
No answer description available for this question..

#### Question No 20

Choose the word which is different from the rest.

Solution!
All except Oil are products obtained from milk..

#### Question No 21

How many non-leap years are there from 1801 to 1900?

Solution!
Leap year comes after 4 years!In one century there will be 24 leap years! !Hence, there will be 76 non leap years from 1801 to 1900..

How much is 25% of $200? #### Select the correct answer Solution! 25 * (200/100) =$50! !Or!200 / 4 = $50. #### Question No 23 A man can row 1 km upstream in 20 minutes, and downstream in 15 minutes. What is the speed of the current? #### Select the correct answer 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 24 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? #### Select the correct answer 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 25 A little American and a big American are walking along a road. The little American is the big American's son. The big American is not the little American's father. Who is big American? #### Select the correct answer Solution! Little American is son of big American but big American is not his father, then big American must be his mother.. #### Question No 26 Find the odd man out. #### Select the correct answer Solution! Cineraria is not a disease.. #### Question No 27 0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , ? #### Select the correct answer Solution! Add 1, 3, 5, 7, etc.. #### Question No 28 Ali bought a house for$450000 and sold it for \$500000. What is his profit percentage?

Solution!
Profit = 500000-450000 = 50000! !Profit percentage= (50000/450000)*100 = 11.11%.

#### Question No 29

It was Sunday on Jan 1, 2006.What was the day of the week Jan 1, 2010?

Solution!
On 31st December, 2005 it was Saturday.!Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.! !So, On 31st December 2009, it was Thursday.! !Thus, on 1st Jan, 2010 it is Friday..

#### Question No 30

PENURY is to MONEY as STARVATION is to..

Solution!
No answer description available for this question..
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