Aptitude and Reasoning Questions

Q:

16 women can do a piece of work in 10 days while 15 men can do the same work in 12 days. All men and all women work alternately starting with all men, then find the time taken by them to complete the whole work?

A) 10 5/2 days B) 11 days
C) 11 2/5 days D) 12 1/2 days
 
Answer & Explanation Answer: A) 10 5/2 days

Explanation:

Let efficiency of every man and every woman be 'm' unit/day and 'w' unit/day respectively

15×12×m = 10×16×w

⇒ m/w = 8/9

Total work = 15 × 12 × 9 = 1620 units

In 2 days, total work done = 15 x 9 + 16 x 8 = 263 units

So, in 10 days work done will be = 263 × 5 = 1315 units

Remaining work will be done in = (1620-1315)/(15×8) = 5/2 days

Total days = 10 5/2 days.

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Filed Under: Time and Work
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Q:

Two concentric circles form a ring. The inner and outer circumferences of ring are  5187m and 3527 m respectively. Find the width of the ring.

A) 4 B) 5
C) 6 D) 7
 
Answer & Explanation Answer: A) 4

Explanation:

Let the inner and outer radii be r and R metres.

 

Then  2πR=3527=>R=3527*722*12=8m 

 

 2πR=5287=>R=5287*722*12=12m

 

=> Width of the ring = (R - r) = (12 - 8) m = 4 m.

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Filed Under: Area
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Q:

Arrange the fractions in ascending order

A) 5/8 < 7/12 < 3/4 < 13/16 B) 5/8 < 7/12 < 13/16 < 3/4
C) 5/8 < 3/4 < 13/16 < 7/12 D) 7/12 < 5/8 < 3/4 < 13/16
 
Answer & Explanation Answer: D) 7/12 < 5/8 < 3/4 < 13/16

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4 < 13/16

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Filed Under: Decimal Fractions

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Q:

In a certain code MADHYA PRADESH is written as MDYAHA PAEHRDS and  SRI LANKA is written as SRI LNAAK. How is TAMIL NADU written in that code?

A) TLMIA NDAU B) TMLAI NDAU
C) TMLIA NDAU D) TMLAI NADU
 
Answer & Explanation Answer: B) TMLAI NDAU

Explanation:

Letters at the odd places of the word are written first and these letters are followed by letters at even places.

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Filed Under: Coding and Decoding

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Q:

In a class, seven students are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly, S is standing right to R and left to T. Find out who is standing in the middle ?

A) Q B) R
C) P D) S
 
Answer & Explanation Answer: A) Q

Explanation:

As from the given conditions;
Order is
N O P Q R S T
Here the student standing in the middle is 'Q'.

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Q:

How many ways can you select 17 songs for mix CD out of possible 38 songs?

A) 2878 B) 2878 x 10^2
C) 290183753 D) 2878 x 10^10
 
Answer & Explanation Answer: D) 2878 x 10^10

Explanation:

since it is a combination = 38C17 = 2878 x 10^10

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Q:

Consider the given arguments as true and decide which of the given assumptions is/are implicit.

Argument :
The best bus travels company has decided to increase its fare by 10%.

Conclusions :
1. Passengers may opt for other buses costing less than the best bus travels company.
2. The demand for the buses by passengers may remain unchanged even after the fare hike.

 

A) Both 1 & 2 are implicit B) Only assumption 1 is implicit
C) Only assumption 2 is implicit D) Neither 1 nor 2 is implicit
 
Answer & Explanation Answer: A) Both 1 & 2 are implicit

Explanation:
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Q:

Four person A, B, C and D. The sum of their present age is 176. Four years ago ratio of their age was 11: 9 : 6 : 14, then find who is eldest and youngest among them ?

A) A is eldest & C is youngest B) D is eldest & C is youngest
C) C is eldest & A is youngest D) A is eldest & B is youngest
 
Answer & Explanation Answer: B) D is eldest & C is youngest

Explanation:

Given sum of present ages of A, B, C & D

A + B + C + D = 176

and also given that,

(A-4) : (B-4) : (C-4) : (D-4) = 11 : 9 : 6 : 14

Let the ratio = x

=> A-4 + B-4 + C-4 + D-4 = 11x + 9x + 6x + 14x

=> (A + B + C + D ) - 16 = 40x

=> 176 - 16 = 40x

=> x = 4

=> A = 44 + 4 = 48

=> B = 40

=> C = 28

=> D = 60

Therefore, from the above conclusions

D is eldest with 60 years and C is youngest with 28 years of ages.

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Filed Under: Problems on Ages
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