## Report

#### Question No 1

If 1/2 x year ago A was 12 and 1/2 x years from now he will be 2x years old, how old will he be 3x years from now?

Solution!
Given that!A-(1/2)x = 12!2A-x = 24 ...(1)!and!A+(1/2)x = 2x!A+(1/2)x-2x = 0!A+(x-4x)/2 = 0!A-(3/2)x = 0!2A-3x = 0 ...(2)!By simultaneously solving equation(1) and (2) we have!x = 12!and!A = 18! !Now!3x = 3*12 = 36! !After 3x years A will be!18+36 = 54 years old.

#### Question No 2

The reflex angle between the hands of a clock at 10:25 is

Solution!
Angle traced by hour hand in 125/12 hrs = (360/12 * 125/12) = 625/2 degree! !Angle traced by minute hand in 25 min = (360/60 * 25) = 150 degree! !So, Reflex angle = 360 - (625/2 - 150) = 197.5 degree.

#### Question No 3

A bus covers a distance of 60 Km in 1.5 hr. How far it would travel in half hour.

Solution!
Distance covered in 1.5 hr = 60! !Distance covered in 1 hr = 60/1.5 = 40 Km! !Distance Covered in 0.5 hr = 40 * 0.5 = 20.

#### Question No 4

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg.His profit percent is

Solution!
C.P. of 56 kg rice = (26 x 20 + 30 x 36) = (520 + 1080) = Rs. 1600! !S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680! !Hence, Gain = (80/1600)*100 = 5%.

#### Question No 5

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 6

Pointing to a person, Deepak said, "His only brother is the father of my daughter's father". How is the person related to Deepak?

Solution!
Father of Deepak's daughter's father = Deepak's father.! !Hence, the person in the brother of Deepak's father.! !Therefore, the person is the uncle of Deepak..

#### Question No 7

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Solution!
Let the length of the train be x metres and its speed by y m/sec.! !Then,!x/y = 8!x = 8y! !Now, (x+264)/20 = y!8y + 264 = 20y!y = 22! !Hence, Speed = 22 m/sec!= 22 * (18/5)!= 79.2 km/hr.

#### Question No 8

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

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

#### Question No 9

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 10

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?

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 11

What will be the selling price of an article that was bought for \$475 and sold at a loss of 12%?

Solution!
12% of 475!=(475*12)/100 = 57! !Selling price = 475-57 = 418.

#### Question No 12

A man was accompanying a girl, on being asked who the girl was the man said, "Her father was the only son of my father". What was the girl to man?

Solution!
If I am a boy and I am only son of my father it means I am talking about myself.! !Same is the case here man is father of the girl..

#### Question No 13

How many years have 29 days in February from 2001 to 2100.

Solution!
100th year is not a leap year.!So 24 February's has 29 days..

#### Question No 14

Marathon is to race as hibernation is to..

Solution!
A marathon is a long race and hibernation is a lengthy period of sleep..

#### Question No 15

Which of the following is not a leap year?

Solution!
The century divisible by 400 is a leap year.! !So, The year 700 is not a leap year..

#### Question No 16

Ali and Nadeem are brothers. Maria and Mariam are sisters. If Ali's son is Mariam's brother, them what is the relation of Nadeem to Maria?

Solution!
"Ali's son is Mariam's brothers" means Mariam and Maria are Ali's daughters.! !So Nadeem (brother of Ali) is Uncle of Maria..

#### Question No 17

Choose the word which is different from the rest.

Solution!
All except Mathura are cities situated on the banks of Ganga river..

#### Question No 18

If x = 8*89 and y = 8*85, What is the value of x-y ?

Solution!
(8*89) - (8*85)!=8*(89 - 85)!=8*(4)=!32.

#### Question No 19

Choose the word which is different from the rest.

Solution!
All except Trousers are garments which cover the upper part of the body..

#### Question No 20

paw is to cat as hoof is to..

Solution!
As cat has Paw similarly Horse has Hoof..

#### Question No 21

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Solution!
Deduct 3.25 each time..

#### Question No 22

Multiply 694 by 11.

Solution!
694 * 11 = 7634! !Quick way to find answer from options is! !694 * 10 = 6940! !So answer must be greater than 6940 and only one option is greater than 6940 which is 7634..

#### Question No 23

Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1/5. What is Sandeep's father's age at present?

Solution!
Let the age of Sandeep and his father before 10 years be x and 5x respectively.! !Given that Sandeep's age after six years will be three-seventh of his father's age! !x + 16 = (3/7)(5x + 16)!7x + 112 = 15x + 48!8x = 64!x = 8! !Sandeep's father's present age = 5x + 10!= 5*8 + 10 = 50.

#### Question No 24

What is 5/9 of 270?

Solution!
(5/9) * 270 = 150.

#### Question No 25

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 26

One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?

Solution!
No answer description available for this question..

#### Question No 27

Carbon is to Diamond as Corundum is to?

Solution!
As Diamond is made of Carbon similarly Ruby is made of Corundum..

#### Question No 28

A takes twice as much time as B or thrice as much time as C to finish a piece of work.Working together,they can finish the work in 2 days.B can do the work alone in

Solution!
Suppose A, B and C take x, x/2, x/3 days respectively to finish the work.! !Then,!(1/x + 2/x + 3/x) = 1/2!6/x = 1/2!x=12! !So, B takes (12/2) = 6 days to finish the work..

#### Question No 29

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 30

A clock is started at noon.By 10 minutes past 5, the hour hand has turned through ...