Aptitude and Reasoning Questions

Q:

a2 + b2 + c2 -ab- bc - ca = 0, iff

A) abc = -1 B) a = b = c
C) abc = 1 D) abc = 0
 
Answer & Explanation Answer: B) a = b = c

Explanation:

Here given formula is 

a2 + b2 + c2 -ab- bc - ca = 0

and it is possible if and only if a = b = c.

From the trial and error method, 

1) Let a = b = c = 1

Now substitute these values of a, b, c in the above formula.

We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0

 

2) Now, let a = b = c = 4

Now substitute these values of a, b, c in the above formula.

We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.

 

Hence, it is possible that 

a2 + b2 + c2 -ab- bc - ca = 0 iff  a = b = c.

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Filed Under: Arithmetical Reasoning
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Q:

Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.

A) A B) B
C) C D) D
 
Answer & Explanation Answer: D) D

Explanation:
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Filed Under: Paper Folding

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Q:

36 is what percent of 80?

A) 54 B) 45
C) 60 D) 64
 
Answer & Explanation Answer: B) 45

Explanation:

Let 36 is p% of 80

=> p x 80/100 = 36

=> p = 36 x 10/8 = 45.

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Filed Under: Percentage
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Q:

A, B and C invested amounts in the ratio 3 : 4 : 5 respectively. If the schemes offered compound interest at the rate of 20% per annum, 15% per annum and 10% per annum respectively, then what will be the ratio of their amounts after 1 year?

A) 3 : 15 : 25 B) 6 : 6 : 5
C) 36 : 46 : 55 D) 12 : 23 : 11
 
Answer & Explanation Answer: C) 36 : 46 : 55

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

25 divided by 7

A) 3.571 B) 35.71
C) 0.351 D) 0.0357
 
Answer & Explanation Answer: A) 3.571

Explanation:

Here we have 25 divided by 7.

25 will not go directly in 7

Hence, we get the result in decimals.

25/7 = 3.571.

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

5% of a = b, then b% of 20 is the same as __________.

A) 20% of a/2 B) 50% of a/20
C) 50% of a/2 D) 20% of a/20
 
Answer & Explanation Answer: D) 20% of a/20

Explanation:
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Filed Under: Percentage
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Q:

Simple Interest received by a person in 10 years on a principal of Rs 9500 is 130% of the principal. What is the rate of interest (in %) per annum?

A) 12 B) 13
C) 15 D) 19
 
Answer & Explanation Answer: B) 13

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

In the following questions are to be based on the details given below.

 

A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.

 

Which product is the most popular one?

 

A) X B) Y
C) Z D) Both X and Z
 
Answer & Explanation Answer: A) X

Explanation:
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