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

### Test Report

#### Question No 1

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 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 group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

Solution!
Let x workers are required to complete the job.!As workers and days are inversely proportional to each other so!(x-7)/x = 24/30!30x - 210 = 24x!6x = 210!x = 35! !Hence 35 workers are required to complete the job in time..

#### Question No 4

A ship travels at the speed of 20 km/h upstream and 24 km/h downstream. What is the speed of boat in still water?

Solution!
Upstream speed = y = 20 Km/h!Downstream speed = x = 24 Km/h!Speed of ship = (1/2)*(x+y)!=(1/2)*(20+24) = 22 Km/h.

#### Question No 5

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 6

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 7

Which number is the odd one out, 10, 25, 45, 54, 60, 75, 80

Solution!
Each of the numbers except 54 is multiple of 5..

#### Question No 8

What is 8/40 expressed as a decimal?

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

#### Question No 9

Kamal was 4 times as old as his son 8 years ago. After 8 years, Kamal will be twice as old as his son. Find out the present age of Kamal.

Solution!
Let the age of the son before 8 years = x! !Then age of Kamal before 8 years ago = 4x! !After 8 years, Kamal will be twice as old as his son! !4x + 16 = 2(x + 16)!x = 8! !Present age of Kamal = 4x + 8 = (4*8) + 8 = 40.

#### Question No 10

If P + Q means P is the brother of Q; P x Q means P is the wife of Q and P % Q means P is the daughter of Q then which of the following means D is the uncle of A?

Solution!
No answer description available for this question..

#### Question No 11

Choose the word which is different from the rest.

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

#### Question No 12

Find the odd man out.

Solution!
All except Quiet express the same meaning..

#### Question No 13

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 14

Choose the word that is a necessary part of the word "harvest"

Solution!
To harvest something, one must have a crop, which is the essential element for this item. Autumn (choice a) is not the only time crops are harvested. There may not be enough of a crop to stockpile (choice b), and you can harvest crops without a tractor (choice c)..

#### Question No 15

1 , 1 , 2 , ? , 24 , 120 , 720

Solution!
Multiply by 1, 2, 3 and so on....

#### Question No 16

Ages of A and B are in ratio 8/7. 27 years ago their ages were in the ratio 5/4. The age of B is

Solution!
Given that!A/B = 8/7 ...(1)! !and!(A-27)/(B-27) = 5/4!5B-135 = 4A-108 ...(2)! !From equation(1) we have!A = (8/7)B! !Put value of A in equation(2)!5B-135 = 4*[(8/7)B]-108!5B-27 = (32/7)B!5B-(32/7)B = 27!(35B-32B)/7 = 27!3B = 189!B = 63! !Hence the age of B is 63 years..

#### Question No 17

EMIT is to MITE as EVIL is to..

Solution!
No answer description available for this question..

#### Question No 18

Introducing a man, a woman said, "He is the only son of the mother of my mother." How is the woman related to the man?

Solution!
The man is the only son of the mother of the woman.! !Hence, the man is the maternal uncle of the woman.! !So, the woman is the niece of the man..

378 * ? = 252

Solution!
252 / 378 = 2/3.

#### Question No 20

Amit said - "This girl is the wife of the grandson of my mother". How is Amit related to the girl?

Solution!
The girl is the wife of grandson of Amit's mother i.e., the girl is the wife of son of Amit.! !Hence, Amit is the father-in-law of the girl..

#### Question No 21

Embarrassed is to humiliated as frightened is to..

Solution!
If someone has been humiliated, they have been greatly embarrassed.If someone is terrified, they are extremely frightened..

#### Question No 22

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is

Solution!
Let the length of each train be x metres.! !Then, distance covered = 2x metres.! !Relative speed = (46 - 36) km/hr!= 10 * (5/18)m/s!= 25/9 m/s!So, 2x/36 = 25/9!= 2x = 100! !Hence, x = 50.

#### Question No 23

Choose the word that is a necessary part of the word "guitar"

Solution!
A guitar does not exist without strings, so strings are an essential part of a guitar. A band is not necessary to a guitar (choice a). Guitar playing can be learned without a teacher (choice b). Songs are byproducts of a guitar (choice c)..

#### Question No 24

What is the angle between the hands of a clock at 7:05 am?

Solution!
At 7:05 hour hand is nearly at 7!Minute hand is at 1! !Angle between 7 and 1 is 180 degree.! !Hour hand move 1/2 degree in one minute.! !In 5 Minutes hour hand will move 1/2 * 5 = 2.5 degree! !Hence, Angle between hands is 180 - 2.5 = 177.5 degree.

#### Question No 25

Find the odd man out.

Solution!
No answer description available for this question..

#### Question No 26

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 27

A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is

Solution!
Maximum PineApples that can be purchased are 5! !But 5 is not in options so best answer is 4..

#### Question No 28

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 29

On 8th Dec, 2007 Saturday falls.What day of the week was it on 8th Dec, 2006?

Solution!
The year 2006 is an ordinary year. So, it has 1 odd day.! !So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.! !But, 8th Dec, 2007 is Saturday.! !Hence, 8th Dec, 2006 is Friday..

#### Question No 30

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

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

#### Question No 31

What is the angle between the two hands of a clock when the time shown by the clock is 5:30 p.m. ?

Solution!
q = 11/2 m ? 30h = 11/2 *30 - 30 *5 = 165-150 = 15 degree! ! .

#### Question No 32

'A' is without sons and brothers, but the father of B is A's father's son. What is 'B' to 'A'?

Solution!
A's father's son means A himself because A has no brother.! !So A is father of B.!As A has no son, B must be her daughter..

#### Question No 33

Value of a house decreased from $250000 to$200000. What is the percentage decrease in the value?

Solution!
Decrease in value of house = 250000 - 200000 = 50000! !Percentage decrease = (50000/250000)*100 = 20%.

#### Question No 34

A 100 meters long train can cross a 150 meters long bridge in 20 seconds. What is the speed of the train?

Solution!
Length of the train = L1 = 100m!Length of the bridge = L2 = 150m!Time = t = 20s!Speed = v = ?! !v = (L1+L2)/t!By putting values!v = (100+150)/20!v = 250/20 = 12.5m/s! !Hence speed of train is 12.5m/s..

Solution!
Let cost price of the television is x.!12% of x = 12x/100 = 3x/25! !Now!(3x/25)+572 = x!3x + 14300 = 25x!14300 = 22x!x = 650! !Hence cost price of the television is $650.. #### Question No 48 Which number is the odd one out, 8, 27, 64, 100, 125, 216, 343 #### Select the correct answer Solution! All others are perfect cube of any number but 100 is not the perfect cube of any number.. #### Question No 49 Find the correctly spelt word. #### Select the correct answer Solution! No answer description available for this question.. #### Question No 50 What is synonym of VENT ? #### Select the correct answer Solution! No answer description available for this question.. #### Question No 51 Tina is twice as old as David. 15 years ago, Tina's age was 5 times the age of David. What is the present age of Tina? #### Select the correct answer Solution! Let David's age is x and Tina's age is y.! !Given that!y = 2x!y-2x = 0 ...(1)! !and also given that!y-15 = 5(x-15)!y-15 = 5x-75!y-5x = -60 ...(2)! !By simultaneously solving equation(1) and equation(2)!y = 40! !Hence Tina's present age is 40 years.. #### Question No 52 A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was? #### Select the correct answer Solution! Let the son's present age be x years. Then, (38 - x) = x! !2x = 38!x = 19! !Hence, Son's age 5 years back (19 - 5) = 14 years.. #### Question No 53 When a plot is sold for$18,700, the owner loses 15%.At what price must that plot be sold in order to gain 15%?

Solution!
85 / 18700 = 115 / x! !x = (18700 * 115)/85 = 25300! !Hence, S.P. = \$25,300.

#### Question No 54

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 55

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

Solution!
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.!= 66 * (5/18) = (55/3)m/s! !Hence, Time taken to pass the man!= 110 * (3/55) = 6 seconds.

#### Question No 56

Choose the word which is different from the rest.

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

#### Question No 57

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

Solution!
Relative speed = (120 + 80) km/hr!= 200(5/18)m/s!= (500/9)m/s! !Let the length of the other train be x metres! !Then,!(x+270)/9 = 500/9!x + 270 = 500! !Hence, x = 230.

#### Question No 58

What must be added to each numerator and denominator of 13/29 so that it becomes 1/2

Solution!
(13+3)/(29+3) = 1/2.

#### Question No 59

A man rowing a boat covers an average distance of 7.5 km/h. What is the distance covered after 40 minutes?

Solution!
Distance covered in 60 minutes = 7.5 Km!Distance covered in 1 minute = 7.5/60 = 1/8 Km! !Distance covered in 40 minutes = (1/8)*40 = 5 Km.

#### Question No 60

Which of the following is a leap year?