IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Test Report

Question No 1

The sum of the ages of a son and a father is 64. After 4 years the age of father will be three times that of his son's. The age of father is

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Solution!
Let present age of son is x and present age of father is y.! !Given that!x+y = 64 ...(1)! !and!y+4 = 3(x+4)!y+4 = 3x + 12!y-3x = 8 ...(2)! !Put value of x from equation(1) in equation(2)! !y-3(64-y) = 8!y-192+3y = 8!4y = 200!y = 50! !Hence present age of the father is 50 years..

Question No 2

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 3

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

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

Question No 4

11th of April falls on Tuesday, what day will the last day of the month April occurs.

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Solution!
Tuesday will be on 11, 18 and 25 then 30th April will be on Sunday..

Question No 5

The ages of C and D are in 6/11 and E is 6 years younger than D. If the sum of ages is 134, then what is the age of D?

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Solution!
Given that!C/D = 6/11!C = (6/11)D ...(1)! !and!C+D+E = 134! !As E is 6 years younger from D so we can put D-6 instead of D!C+D+D-6 = 134!C+2D = 140!Put value of C from equation(1)!(6/11)D+2D = 140!6D+22D = 140!28D = 1540!D = 55! !Hence D is 55 years old..

Question No 6

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

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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 7

Choose the word which is different from the rest.

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Solution!
In all except Trifle, 'tri' indicates 'three'..

Question No 8

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

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

Question No 9

John can read 8 pages of a book in 7 minutes, how long will he take to read 40 pages?

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Solution!
40/8 = 5! !As pages are increased 5 times. So minutes will also increase 5 time.! !7 * 5 = 35.

Question No 10

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

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

Question No 11

On 8th Feb, 2005 it was Tuesday.What was the day of the week on 8th Feb, 2004?

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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 12

By how many degrees does the minute hand move in the same time, in which the hour hand move by 280?

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Solution!
28 * 2 * 6 = 336 degree.

Question No 13

John's income increased from $12000 to $14400. What is percentage increase in his income?

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Solution!
Increase in income = 14400 - 12000 = 2400! !Percentage increase = (2400/12000)*100 = 20%.

Question No 14

Which of the following is the least number which is divisible by both 12 and 18?

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Solution!
Least common multiple of 12 and 18 is 36.

Question No 15

If a man takes two hours to row 3 km upstream or 15 km downstream then the speed of current is?

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Solution!
Upstream distance covered in 2 hours = 3Km!Distance covered in 1 hour = 3/2 = `1.5 Km!So,!Upstream speed = 1.5 Km/h!Downstream distance covered in 2 hours = 15Km!Distance covered in 1 hour = 15/2 = 7.5Km! !Downstream speed = 7.5 Km/h! !Now!Speed of water = (1/2)*(7.5-1.5) = 3 Km/h.

Question No 16

HYPOTENUSE is to PERIMETER as ARC is to..

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Solution!
No answer description available for this question..

Question No 17

Disclosure always involves

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Solution!
No answer description available for this question..

Question No 18

Elated is to despondent as enlightened is to..

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Solution!
Elated is the opposite of despondent; enlightened is the opposite of ignorant..

Question No 19

INGRATE is to GRATITUDE as PROFLIGATE is to..

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Solution!
No answer description available for this question..

Question No 20

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

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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 21

A cigarette case is full of cigars and cigarettes, probability of a cigarette is 8/15. What is the ratio of cigars to cigarettes.

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Solution!
In 15 cigars and cigarettes there are 8 cigarettes So ratio between cigars and cigarettes is 8/7. Which means there are 8 cigarettes and 7 cigars..

Question No 22

25 tailors can make 35 dresses in 1 day. How many dresses can 6 tailors make in 5 days?

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Solution!
Let x dresses can be made.!As dresses are directly proportional to tailors and days so!x/35 = (6/25)*(5/1)!x = 42! !Hence 42 dresses can be made by 6 tailors in 5 days..

Question No 23

378 * ? = 252

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Solution!
252 / 378 = 2/3.

Question No 24

If A + B means A is the brother of B; A x B means A is the son of B; and A % B means B is the daughter of A then which of the following means M is the maternal uncle of N?

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Solution!
Because the sex of O is not known..

Question No 25

A is the father of B but B is not A's son. What is relationship of B to A.

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Solution!
A is father of B but B is not A's son, then B must be daughter of A..

Question No 26

10 women can complete a work in 7 days and 10 children take 14 days to complete the work.How many days will 5 women and 10 children take to complete the work?

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Solution!
1 woman's 1 day's work =1/70! !1 child's 1 day's work =1/140! !(5 women + 10 children)'s 1 day's work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7! !Hence, 5 women and 10 children will complete the work in 7 days..

Question No 27

What was the day of the week on 28th May, 2006?

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Solution!
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)! !Odd days in 1600 years = 0! !Odd days in 400 years = 0! !5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) = 6 odd days! !From January to 28 May (31 + 28 + 31 + 30 + 28 ) = 148 days! !So, 148 days = (21 weeks + 1 day) = 1 odd day.! !Total number of odd days = (0 + 0 + 6 + 1) = 7 = 0 odd day.! !Hence Given day is Sunday.

Question No 28

C's mother was four times as old as C ten years ago. After 10 years she will be twice as old as C is now. How old C is now?

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Solution!
Let C's present age is x and his mother's age is y.! !Given that!y = 4(x-10)!y = 4x-40!4x-y = 40 ...(1)! !and!y+10 = 2x!2x-y = 10 ...(2).! !By simultaneously solving equation(1) and equation(2) we find! x = 15! !Hence C is 15 years old..

Question No 29

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds.If one is moving twice as fast the other, then the speed of the faster train is

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Solution!
Let the speed of the slower train be x m/sec! !Then,!speed of the faster train = 2x m/sec! !Relative speed = (x + 2x) m/sec = 3x m/sec! !So, (100+100)/8 = 3x!24x = 200!x = 25/3! !So, speed of the faster train = 50/3 m/s!= (50/3 * 18/5)!= 60km/hr.

Question No 30

Pointing to a photograph Lata says, "He is the son of the only son of my grandfather." How is the man in the photograph related to Lata?

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Solution!
The man in the photograph is the son of the only son of Lata's grandfather i.e., the man is the son of Lata's father. Hence, the man is the brother of Lata..
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