Aptitude and Reasoning Questions

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
Exam Prep: CAT , Bank Exams , AIEEE
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5 4532
Q:

The food processing industry was touted to be a sunrise industry for India some years ago and, on the face of it , there was little reason to doubt that

Conclusions: 

I. India has an advantage in food processing because of the varied agro-climatic conditions and availabilty of raw materials.

II. Food processing is one of the basic industries which suports our lives.

A) If only conclusion I follows B) If only conclusion II follows
C) If neither I nor II follows D) If both I and II follow
 
Answer & Explanation Answer: C) If neither I nor II follows

Explanation:

Which factors influence the food processing industry cannot be determined from the statement. Hence I does not follow. II does not follow because the statement doesn't give any clue about the industry's centrality to our lives.

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Q:

Synonym for the word : Bleak

A) bare B) lush
C) warm D) verdant
 
Answer & Explanation Answer: A) bare

Explanation:

Bleak means an area of land lacking vegetation and exposed to the elements like deserts.

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Filed Under: Analogy
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16 4531
Q:

The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?

A) 12.50 cm B) 14.21 cm
C) 15.98 cm D) 17.08 cm
 
Answer & Explanation Answer: D) 17.08 cm

Explanation:

Let the length of the rectangle = L cm

 

Then the breadth of the rectangle = (L - 10) cm

 

Perimeter of a rectangle = 2(L + B) cm

 

=> 44 = 2(L + L - 10)

 

=> 44 = 4L - 20

 

=> 4L = 64

 

=> L = 16 cm

 

=> B = L - 10 = 6 cm

 

Diagonal = L2+B2 = 162+62 = 17.08 cm

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Filed Under: Area
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11 4530
Q:

78 of 448 + 67 of 3374 = ?

A) 3084 B) 3184
C) 3584 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

78 x 448 + 67 x 3374 => 392 + 2892=> 3284

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Filed Under: Simplification
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3 4528
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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3 4526
Q:

What percent is 120 of 85 ?

A) 133.33 % B) 141.17 %
C) 145.54 % D) 139.29 %
 
Answer & Explanation Answer: B) 141.17 %

Explanation:

Px85100=120

 

=> p = 12000/85 = 141.17 %

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Filed Under: Percentage
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2 4525
Q:

The effective annual rate of interest corresponding to nominal rate of 6% per annum payable half yearly is

A) 5% B) 6%
C) 7% D) 6.09%
 
Answer & Explanation Answer: D) 6.09%

Explanation:

amount=[100(1+3/100)^2]=Rs.106.09

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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