IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

Test Report

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?

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..

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?

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

Question No 4

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

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?

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?

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?

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?

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 , ? , ?

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..

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?

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?

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?

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 ?

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?

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.

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?

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?

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 , ?

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?

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?

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"

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

Question No 23

Find the odd man out.

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

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 ?

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?

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?

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?

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.

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