IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Question No 1

Pointing a photograph X said to his friend Y, "She is the only daughter of the father of my mother." How X is related to the person of photograph?

Select the correct answer

Daughter Son Nephew Brother

Solution!
'The only daughter of the father of X's mother' means mother of X.! !Hence X is the son of the lady in the photograph..

Question No 2

Optimist is to cheerful as pessimist is to..

Select the correct answer

gloomy mean petty helpful

Solution!
An optimist is a person whose outlook is cheerful. A pessimist is a person whose outlook is gloomy..

Question No 3

What is average of 3, 5 and 10?

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4 5 6 8

Solution!
(3+5+10)/3 = 18/3 = 6.

Question No 4

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

Select the correct answer

64 67 62 72

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

Question No 5

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?

Select the correct answer

3 5 7 10

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 6

What is the angle between the hands of a clock at 7 o'clock?

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130 degree 160 degree 120 degree 150 degree

Solution!
At 7 o'clock the minute hand points to 12 and hour hand points to 7.! !Angle between 7 and 12 is 150 degree..

Question No 7

What is the angle between the hands of a clock at 3:35 pm?

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75 degree 45 degree 102.5 degree 88.5 degree

Solution!
At 3:35 hour hand is nearly at 3!Minute hand is at 7! !Angle between 3 and 7 is 120 degree.! !Hour hand move 1/2 degree in one minute.! !In 35 Minutes hour hand will move 1/2 * 35 = 17.5 degree! !Hence, Angle between hands is 120 - 17.5 = 102.5 degree.

Question No 8

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?

Select the correct answer

40 sec 42 sec 45 sec 48 sec

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 9

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

Select the correct answer

22, 64 24, 76 32, 40 50, 60

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

Question No 10

APOCRYPHAL is to CERTAINTY as CHAOTIC is to..

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orthodoxy order incongruity piety

Solution!
No answer description available for this question..

Question No 11

Price of an article increased from $50 to $55. What is the percentage increase?

Select the correct answer

5 10 15 20

Solution!
Increase in price = 55-50 = 5!Percentage increase = (5/50)*100! =10%.

Question No 12

Introducing a woman, Shashank said, "She is the mother of the only daughter of my son." How that woman is related to Shashank?

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Daughter Sister-in-law Wife Daughter-in-law

Solution!
The woman is the mother of Shashank's granddaughter.! !Hence, the woman is the daughter-in-law of Shashank. .

Question No 13

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

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23 days 37 days 37.5 days 40 days

Solution!
Whole work is done by A in (20 * 5/4) = 25 days! !Now, (1 - 4/5) i.e., 1/5 work is done by A and B in 3 days.! !Whole work will be done by A and B in (3 x 5) = 15 days.! !A's 1 day's work = 1/25!(A + B)'s 1 day's work = 1/15! !So, B's 1 day's work = (1/15 - 1/25) = 4/150 = 2/75! !Hence, B alone would do the work in 75/2 = 37.5 days..

Question No 14

What is Antonym of ENORMOUS ?

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Soft Average Tiny Weak

Solution!
No answer description available for this question..

Question No 15

In a Zoo deers and lions are in ratio of 5/2. If there are 20 deers how many lion are there?

Select the correct answer

10 8 6 3

Solution!
20 is 4 times of 5 So in this way 4 times of 2 will be 8..

Question No 16

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

Select the correct answer

10 20 30 40

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 17

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

Select the correct answer

25 30 40 45

Solution!
Speed of the train relative to man = (63 - 3) km/hr!= 60 km/hr = 60 * (5/18)m/s!= (50/3)m/s! !Hence, Time taken to pass the man!= 500 * (3/50)s!= 30 seconds.

Question No 18

January 1, 2008 is Tuesday.What day of the week lies on Jan 1, 2009?

Select the correct answer

Monday Wednesday Thursday Sunday

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 19

100 , 96.75 , 93.5 , 90.25 , 87 , ?

Select the correct answer

81 50.4 62 83.75

Solution!
Deduct 3.25 each time..

Question No 20

The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?

Select the correct answer

10 11 12 13

Solution!
Given that A+B = 12 + B + C! !A - C = 12 + B - B = 12! !C is younger than A by 12 years..

Question No 21

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?

Select the correct answer

15 30 20 25

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 22

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

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corrupt exclusive rich gigantic

Solution!
The essential part of a monopoly is that it involves exclusive ownership or control..

Question No 23

Find the odd man out.

Select the correct answer

David William Charles George

Solution!
Remaining are names of British Kings..

Question No 24

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

Select the correct answer

30 km/hr 45 km/hr 60 km/hr 75 km/hr

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 25

The angle between the minute hand and the hour hand of a clock when the time is 8:30, is ?

Select the correct answer

80 degree 75 degree 60 degree 105 degree

Solution!
Angle traced by hour hand in 17/2 hrs = (360/12 * 17/2) = 255 degree! !Angle traced by minute hand in 30 min = (360/60 * 30) = 180 degree! !So, Required angle = (255 - 180) = 75 degree.

Question No 26

If p is and odd integer and 7p > 50 and 3p < 35 then p is?

Select the correct answer

8 11 13 19

Solution!
7*11 = 77 (greater than 35) and 3*7 = 33 (lesser than 35)! !*Note that 8 is also true but in question it is explicitly said that integer must be odd..

Question No 27

A is two years older than B who is twice as old as C. The total of the ages of A, B and C is 27. How old is B?

Select the correct answer

10 9 8 7

Solution!
Let the age of C = x.! !Then! !Age of B = 2x! !Age of A = 2 + 2x! !The total age of A,B and C =27! !(2+2x) + 2x + x = 27!5x = 25!B's age = 2x = 2 * 5 = 10.

Question No 28

Pointing to a photograph. Bajpai said, "He is the son of the only daughter of the father of my brother." How Bajpai is related to the man in the photograph?

Select the correct answer

Nephew Brother Father Maternal Uncle

Solution!
The man in the photo is the son of the sister of Bajpai. Hence, Bajpai is the maternal uncle of the man in the photograph..

Question No 29

Choose the word which is different from the rest.

Select the correct answer

Stain Wipe Scrub Wash

Solution!
All except Stain are terms related to cleaning..

Question No 30

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

Select the correct answer

27 100 125 343

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

IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

10 Minutes Test

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