Aptitude and Reasoning Questions

Q:

How many days are there in x weeks x days?

A) 7x * x B) 8x
C) 14x D) 7
 
Answer & Explanation Answer: B) 8x

Explanation:

x weeks x days = (7x + x) days = 8x days.

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Filed Under: Calendar

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Q:

A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ?

A) 25 B) 24
C) 23 D) 21
 
Answer & Explanation Answer: A) 25

Explanation:

(A+B+C) do 1 work in 10 days.

So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5


Remaining work=1-2/5=3/5

 

(B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50


Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25

A does 1/25 work in in 1 day

Therefore 1 work in 25 days.

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Filed Under: Time and Work
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Q:

∆DEF is right angled at E. If secD = 17/8, then what is the value of cosF?

 

A) 15/17   B) 15/8  
C) 8/17   D) 17/15
 
Answer & Explanation Answer: A) 15/17  

Explanation:
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Filed Under: Simplification
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Q:

Select the related number from the given alternatives.

357 : 714 :: 468 : ?

A) 579 B) 417
C) 936 D) 864
 
Answer & Explanation Answer: C) 936

Explanation:
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Filed Under: Analogy
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Q:

Sinθ Cos(90 - θ) + Cosθ Sin(90 - θ) = 

 

A) 1 B) 2
C) -1 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:
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Q:

Select the related word from the given alternatives.

Pencil : Lead :: Pen : ?

A) Ball B) Write
C) Blue D) Ink
 
Answer & Explanation Answer: D) Ink

Explanation:
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Filed Under: Analogy
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Q:

Three unbiased coins are tossed. What is the probability of getting at most two heads?

A) 3/4 B) 7/8
C) 1/2 D) 1/4
 
Answer & Explanation Answer: B) 7/8

Explanation:

Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

Let E = event of getting at most two heads.

Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

P(E) =n(E)/n(S)=7/8.

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Filed Under: Probability

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Q:

Pick an odd man in the given number series?

4 12 38 87 198

A) 12 B) 38
C) 87 D) 198
 
Answer & Explanation Answer: A) 12

Explanation:

The given series follows a pattern that,

 

4 + 32 = 4 + 9 = 1313 + 52 = 13 + 25 = 3838 + 72 = 38 + 49 = 8787 + 92 = 87 + 81 = 198 

 

Hence, the odd man in the given number series is 12.

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Filed Under: Odd Man Out
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