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

### 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?

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.

Solution!
All except New York capitals..

#### Question No 3

John's mother is sister of David's brother. What is John to David?

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?

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?

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?"

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?

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?

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 10

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

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

#### 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 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

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.

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?

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?

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.

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

#### Question No 17

PORTION is to DOSE as FOOD is to..

Solution!
No answer description available for this question..

#### Question No 18

What is 15 multiplied by 11?

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?

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

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? #### Select the correct answer 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 #### Select the correct answer 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? #### Select the correct answer Solution! 19+17+15 = 51. #### Question No 23 Embarrassed is to humiliated as frightened is to.. #### Select the correct answer 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?

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

#### Question No 25

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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?

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.

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

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.

Solution!
All except Chalk are obtained from crops..

#### Question No 30

Choose the word which is different from the rest.