Aptitude and Reasoning Questions

Q:

There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.

A) 1/12 B) 2/14
C) 1/14 D) 2/13
 
Answer & Explanation Answer: C) 1/14

Explanation:

Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14

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Filed Under: Numbers
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Q:

Find the minimum number of straight lines required to make the given figure.

A) 13 B) 15
C) 17 D) 19
 
Answer & Explanation Answer: A) 13

Explanation:

  

The horizontal lines are IJ, AB, EF, MN, HG, DC and LK i.e. 7 in number.

The vertical lines are AD, EH, IL, FG, BC and JK i.e. 6 in number.

Thus, there are 7 + 6 = 13 straight lines in the figure.

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Filed Under: Analytical Reasoning

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Q:

K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ?

A) 15 days B) 13 days
C) 12 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

Explanation:

In one day work done by K = 1/20

Work done by K in 2 days = 1/10

 

Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10

Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5

 

1/5th of the work will be completed at the end of 3 days.

The remaining work = 1 - 1/5 = 4/5

1/5 of work is completed in 3 days

Total work wiil be done in 3 x 5 = 15 days.

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Filed Under: Time and Work
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Q:

If 27th December 2009 was a Thursday, then what day of the week was it on 1st March 2010?

A) Thursday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: B) Friday

Explanation:
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Filed Under: Calendar
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Q:

Consider the given argument and decide which of the given assumptions is (are) implicit.

 


Argument :

 

An army general said 'Shoot Now' to the soldier.

 

Assumptions :

 

1. The soldier knows where and what to shoot.

2. The army general doesn't know to shoot.

 

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

Explanation:
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Filed Under: Statement and Assumptions
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Q:

Consider the given argument and decide which of the given assumptions is/are implicit.

 

Argument : All the faculty members are instructed to reach the college by 9.00 A.M.

 

Assumptions:

1. Some faculty members do not come on time.

2. Faculty members will follow all the instructions in the notice.

 

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

Explanation:
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Filed Under: Statement and Assumptions
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Q:

A box contains 2 blue balls, 3 green balls and 4 yellow balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?

A) 48 B) 24
C) 64 D) 32
 
Answer & Explanation Answer: C) 64

Explanation:

Total number of balls = 2 + 3 + 4 = 9

Total number of ways 3 balls can be drawn from 9 = 9C3

No green ball is drawn = 9 - 3 = 6 = 6C3

Required number of ways if atleast one green ball is to be included = Total number of ways - No green ball is drawn

= 9C3 - 6C3

= 9x8x7/3x2  -  6x5x4/3x2

= 84 - 20

= 64 ways.

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Filed Under: Permutations and Combinations
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Q:

Find the value of 1.21x0.91.1x0.11?

A) 0 B) 1
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

Explanation:

Given   1.21x0.91.1x0.11

 

1.21x100x0.9x101.1x10x0.11x100

 

9

 

= 3.

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Filed Under: Square Roots and Cube Roots
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