IQ Test, Mental Aptitude, Logical Reasoning & Mathematical Tests

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Question No 1

The sum of the present ages of a mother and daughter is 63. Three years back if the age of the mother was double that of the daughter, then the present age of the daughter is

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Solution!
Let mother's present age is x and daughters present age is y! !Given that!x+y = 63 ...(1)!and! !x-3 = 2(y-3)!x-3 = 2y-6!x-2y = -6+3!x-2y = -3 ...(2)! !By simultaneously solving equation(1) and equation(2) We'll find!y = 22! !Hence present age of the daughter is 22 years..

Question No 2

A can do a piece of work in 4 hours; B and C together can do it in 3 hours,while A and C together can do it in 2 hours.How long will B alone take to do it?

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Solution!
A's 1 hour's work = 1/4! !(B + C)'s 1 hour's work = 1/3! !(A + C)'s 1 hour's work = 1/2! !(A + B + C)'s 1 hour's work = (1/4 + 1/3) = 7/12! !B's 1 hour's work = (7/12 - 1/2) = 1/12! !Hence, B alone will take 12 hours to do the work..

Question No 3

7/21 in lowest term is?

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Solution!
7/21 = 1/3.

Question No 4

REASON is to SFBTPO as THINK is to?

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Solution!
As,!R + 1 = S!E + 1 = F!A + 1 = B!S + 1 = T!O + 1 = P!N + 1 = O! !Similarly,!T + 1 = U!H + 1 = I!I + 1 = J!N + 1 = O!K + 1 = L.

Question No 5

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 6

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?

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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 7

My mother is sister of your brother. What am I to you?

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Solution!
"My mother is sister of your brother" you are brother of my mother and I am your nephew..

Question No 8

The angle between the minute hand and the hour hand of a clock when the time is 4:20, is ?

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Solution!
Angle traced by hour hand in 13/3 hrs = (360/12 * 13/3) = 130 degree! !Angle traced by minute hand in 20 min = (360/60 * 20) = 120 degree! !So, required angle = 130 - 120 = 10 degree.

Question No 9

John's mother is sister of David's brother. What is John to David?

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Solution!
David is brother of John's mother.! !So John is nephew of David..

Question No 10

Ornithologist is to Bird as Archealogist is to?

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Solution!
As Ornithologist is a specialist of Birds similarly Archealogist is a specialist of Archealogy..

Question No 11

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

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

Question No 12

Which one of the following is always found in factories?

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Solution!
No answer description available for this question..

Question No 13

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

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Solution!
Rate downstream = (16/2)km/h = 8 km/h! !Rate upstream = (16/4)km/h!= 4 km/h! !Hence, Speed in still water = 1/2(8+4)km/h = 6 km/h.

Question No 14

The ratio of the ages of two friends A and B is 3/2. However if the age of A is decreased by 10 and that of B is increased by 10 then the original ratio is reversed. Age of A is

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Solution!
Given that!A/B = 3/2!2A = 3B!2A-3B = 0 ...(1)! !and also given that!(A-10)/(B+10) = 2/3!3A-30 = 2B+20!3A-2B = 50 ...(2)! !By simultaneously solving equation(1) and equation(2)!A = 30! !Hence age of A is 30 years..

Question No 15

Which one of the following is always associated with 'justice'?

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Solution!
No answer description available for this question..
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