Aptitude and Reasoning Questions

Q:

What is the value of cosec 120°

A) 2/√3 B) 2
C) -2/√3 D) -2
 
Answer & Explanation Answer: A) 2/√3

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Inflection best relates to

A) Tone B) Volume
C) Pace D) Vocabulary
 
Answer & Explanation Answer: A) Tone

Explanation:

Inflection most often refers to the pitch and tone patterns in a person's speech that is where the voice rises and falls.

 

Hence, Inflection best relates to Tone.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

There are 1650 students in a college. The difference between the number of boys and girls in the college is 400. What is the percentage of girls in the college ?

A) 49 B) 34
C) 43 D) 38
 
Answer & Explanation Answer: D) 38

Explanation:

Let no. of boys be 'B' and no. of girls be 'G'

Here from given data,

B + G = 1650 .....(1)

B - G = 400 .....(2)

From (1) & (2), we get

2B = 2050

=> B = 1025

=> G = 1650 - 1025 = 625

Hence, the % of girls = 625 x 100/1650

=> 38% (approx).

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Filed Under: Percentage
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4 6428
Q:

A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ?

A) 32 hrs B) 24 hrs
C) 28 hrs D) 26 hrs
 
Answer & Explanation Answer: C) 28 hrs

Explanation:

1/K + 1/L + 1/M = 1/8 (Given)
Also given that K = 2L and L = 2M
=> 1/2L + 1/L + 2/L = 1/8
=> (1 + 2 + 4)/2L = 1/8
=> 2L/7 = 8
=> L = 28 hours.

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Filed Under: Pipes and Cistern
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8 6425
Q:

A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ?

A) 142 B) 175
C) 212 D) 253
 
Answer & Explanation Answer: D) 253

Explanation:

The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on...
So,
22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.

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Filed Under: Permutations and Combinations
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4 6420
Q:

Find the odd man out of the series 4, 5, 9, 18, 32, 59

A) 18 B) 5
C) 59 D) 32
 
Answer & Explanation Answer: D) 32

Explanation:

In the given series, 

 2nd term = 1st term + 12= 4 +1 = 5  

3rd term = 2nd term + 22 =5+4= 9  

4th term = 3rd term + 32 =9+9=18  

5th term = 4th term + 42 = 18+16=34 

Therefore, odd term is 32

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Filed Under: Number Series
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Q:

How many numbers amogst the numbers 9 to 54 are there which are exactly divisible by 9 but not by 3 ?

A) 5 B) 6
C) 0 D) 9
 
Answer & Explanation Answer: C) 0

Explanation:

Any number divisible by 9 is also divisible by 3.

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Q:

A girl read 2/5 part of a book in 1st day, 34% in second day and remaining page in next two days. In two days she read equal number of page. If she read 52 pages on last day, then find out how many pages did the book contain?

A) 400 B) 376
C) 382 D) 356
 
Answer & Explanation Answer: A) 400

Explanation:

1st day the girl read = 40%

2nd day she read = 34 %

Remaining percentage of book = 100% - (40% +34%) = 26%

But given last two days she read equal number of pages

=> Each day she read 26%/2 = 13%

Last day she read 52 pages = 13%

13% = 52

1% = 4

=> 100% = 400

Total pages in the book is 400.

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Filed Under: Percentage
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