IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

10 Minutes Test

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Test Report

Question No 1

A and B are married couple. X and Y are brothers. X is the brother of A. How is Y related to B.

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Solution!
X and Y both are brothers of A!which means both are Brother-in-law of B..

Question No 2

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

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Solution!
C.P. of 6 toffees = Re. 1! !S.P. of 6 toffees = 120% of Re. 1 = Rs. 6/5! !For Rs. 6/5,!toffees sold = 6.! !For Re. 1, toffees sold = (6 * 5/6) = 5.

Question No 3

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is

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Solution!
Speed = 45 * (5/18)!= 25/2 m/s! !Time = 30 sec! !Let the length of bridge be x metres! !Then,!(130 + x)/30 = 25/2!2(130 + x) = 750! !Hence, x = 245 m.

Question No 4

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?

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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 5

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

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

Question No 6

An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

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Solution!
Angle traced by the hour hand in 6 hours = (360/12)*6 = 180 degree.

Question No 7

What is 5.9 + 6.8 + 7.34?

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Solution!
6.8 + 7.34 = 14.14! !14.14 + 5.9 = 20.04.

Question No 8

100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen.The percentage of profit or loss is

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Solution!
C.P. of 1 orange = 350/100 = Rs. 3.50! !S.P. of 1 orange = 48/12 = Rs. 4! !Hence, Gain% = (0.50)/(3.50) * 100 = 100/7 %.

Question No 9

Find the correctly spelt word.

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Solution!
No answer description available for this question..

Question No 10

A mirror always

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Solution!
No answer description available for this question..

Question No 11

If A $ B means A is the brother of B; B * C means B is the son of C; C / D means C is the wife of D and A # D means A is the son of D, how C is related to A?

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Solution!
A $ B = A is the brother of B! !B * C = B is the son of C! !Hence, A is the son of C! !C / D = C is the wife of D! !Hence, C is the mother of A..

Question No 12

What is smallest integer greater than 1 that leaves remainder 1 when it is divided by 5 or 8?

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Solution!
40 is the least common multiple of 5 and 8 so 41 will be the smalles integer that leaves 1 when it is divided by 5 or 8..

Question No 13

Yesterday I saw an ice cube which had already melted due to heat of a nearby furnace.

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Solution!
Since the ice cube had already melted due to the heat of a nearby furnace so after this ice cannot remain as ice cube..

Question No 14

Ali's swimming speed in still water is 18 km/h and speed of water is 6 km/h. How long will it take him to go downstream 72km?

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Solution!
Ali's swimming speed in still water = u = 18 Km/h!Speed of water = v = 6 Km/h!Total speed down the stream = 18+6 = 24 Km/h! !Distance to cover = 72 Km!time = ?! !time = distance/speed = time = 72/24 = 3 hours..

Question No 15

Ali sold a house at a loss of 15% for Rs. 382500. What was the cost price of the house?

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Solution!
Let cost price of the house is x.!15% of x = 15x/100 = 3x/20! !Now!(3x/20)+382500 = x!3x + 7650000 = 20x!7650000 = 17x!x = 450000!Hence cost price of the house is Rs. 450000.

Question No 16

The last day of a century cannot be ...

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Solution!
100 years contain 5 odd days.! !So, last day of 1st century is Friday.! !200 years contain (5 x 2) = 3 odd days.! !So, Last day of 2nd century is Wednesday.! !300 years contain (5 x 3) = 15 = 1 odd day.! !So, Last day of 3rd century is Monday.! !400 years contain 0 odd day.! !So, Last day of 4th century is Sunday.! !This cycle is repeated.!Hence Last day of a century cannot be Tuesday or Thursday or Saturday..

Question No 17

Sponge is to porous as rubber is to..

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Solution!
A sponge is a porous material. Rubber is an elastic material..

Question No 18

What is average of 2 , 5 and 8?

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Solution!
(2+5+8)/3 = 15/3 = 5.

Question No 19

By how many degrees does the minute hand move in the same time, in which the hour hand move by 18 degree?

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Solution!
18*2 *6 = 216 degree! ! .

Question No 20

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is

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Solution!
Speed downstream = (15 + 3) kmph = 18 kmph! !Distance travelled = 18 * (12/60)km = 3.6 km.

Question No 21

100 , 96.75 , 93.5 , 90.25 , 87 , ?

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Solution!
Deduct 3.25 each time..

Question No 22

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 23

Guide is to direct as reduce is to..

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Solution!
Guide and direct are synonyms, and reduce and decrease are synonyms..

Question No 24

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 25

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, what was the son's age five years back?

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Solution!
Let the son's present age be x years.! !Then! (38 - x) = x! !2x = 38!x = 38/2 = 19! !Son's age 5 years back = 19-5 = 14 years.

Question No 26

The ratio of A's age and B's age is 3/7, and the difference of their ages is 16 years. Find the age of B.

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Solution!
Given that!A/B = 3/7 ...(1)! !and!B-A = 16 ...(2)!Put value of A from equation(1) in equation(2)!B-(3/7)B = 16!(7B-3B)/7 = 16!4B = 112!B = 28! !Hence Age of B is 28 years..

Question No 27

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

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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 28

7/21 in lowest term is?

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Solution!
7/21 = 1/3.

Question No 29

B5D means B is the father of D , B9D means B is the sister of D , B4D means B is the brother of D , B3D means B is the wife of D ; Which of the following means F is the mother of K?

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Solution!
F3M = F is the wife of M! !M5K = M is the father of K! !Therefore, F is the mother of K..

Question No 30

Find the odd man out.

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Solution!
All except admirer have the same meanings..
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