Aptitude and Reasoning Questions

Q:

If L exceeds K by 30%, then K is less than L by ?

A) 14 2/5 % B) 23 1/3 %
C) 20 % D) 16 %
 
Answer & Explanation Answer: B) 23 1/3 %

Explanation:

K = 100 L = 130
130------ 30
100------- ? => 23 1/13 %

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Filed Under: Percentage
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Q:

Find the cube root of 287496

 

A) 64 B) 46
C) 56 D) 66
 
Answer & Explanation Answer: D) 66

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

1 5250
Q:

When 721+722+723+724 is divided by 25 the remainder is:

A) 5 B) 17
C) 7 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

Given,721+722+723+724

721(1 + 7 + 49 + 343)
721(400)

Now, 400 is divisible by 25. The remainder will be 0

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

2 5248
Q:

A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum is

A) Rs 4000 B) Rs 4950
C) Rs 5000 D) Rs 5150
 
Answer & Explanation Answer: C) Rs 5000

Explanation:

Let the rate of interest be R

(Interest at rate (R+4)%)–(Interest at R%)

= 600(PT(R+4)/100) –(PTR/100)

= 6003PR +12P –3PR = 60000

12P = 60000

P = 5000

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Filed Under: Simple Interest

5 5246
Q:

If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is 

A) 9! B) 9!/2
C) 10! D) 10!/2
 
Answer & Explanation Answer: D) 10!/2

Explanation:

As A1 speaks always after A2, they can speak only in  1st  to 9th places and 

 

A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place 

 

A2 can speak in 9 places the remaining 

 

 A3, A4, A5,...A10  has no restriction. So, they can speak in 9.8! ways. i.e

 

when A2 speaks in the first place, the number of ways they can speak is 9.8!.

 

When A2 speaks in second place, the number of ways they can speak is  8.8!.

 

When A2 speaks in third place, the number of ways they can speak is  7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!

 

 

 

Therefore,Total Number of ways they can  speak = (9+8+7+6+5+4+3+2+1) 8! = 92(9+1)8! = 10!/2

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Filed Under: Permutations and Combinations
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5 5245
Q:

If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.

A) 40 units B) 30 units
C) 13 units D) 24 units
 
Answer & Explanation Answer: D) 24 units

Explanation:

Ratio of length and breadth is 6 : 5
∴ Length = 6x
Breadth = 5x
∴ Area = l x b = 30x2
∴ Perimeter = 2 (l + b) = 2(6x + 5x) =22x
∴ (30*x*x)/(22x)= 60/11
∴ X = 4
∴ Length = 6x = 6 x 4 = 24 units

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Filed Under: Area
Exam Prep: Bank Exams

2 5243
Q:

Which letter in the word SELFRIGHTEOUSNESS' does not change its position when the letters are reversed ? 

A) G B) T
C) E D) H
 
Answer & Explanation Answer: B) T

Explanation:

Clearly, when the letters of a Word are written in reverse order, the position of the middle letter remains unchanged.

Thus, in the word SELFRIGHTEOUSNESS, the middle letter it T does not change its position when the letters are reversed.

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Filed Under: Alphabet Test

13 5242
Q:

A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ?

A) 8.7 hrs B) 5.2 hrs
C) 5 hrs D) 7.5 hrs
 
Answer & Explanation Answer: D) 7.5 hrs

Explanation:

Ratio of times taken by A and B = 160 : 100
A can do the work in 12 days
Let B can do the work in "D" days
=> 160:100 = 12 : D
=> D = 12 x 100/160 = 7.5 hrs

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Filed Under: Time and Work
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