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
Exam Prep: AIEEE , Bank Exams , CAT
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Q:

Select the related word/letters/number from the given alternatives.

MN : NM : : JK : ?

A) RS B) SR
C) QP D) PQ
 
Answer & Explanation Answer: C) QP

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

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Q:

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ?

A) 85 min B) 92 min
C) 187 min D) 144 min
 
Answer & Explanation Answer: D) 144 min

Explanation:

Let the slower pipe alone fill the tank in x min.

Then, faster pipe will fill it in x/3 min.

1/x + 3/x = 1/36 

4/x = 1/36 => x = 144 min.
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Filed Under: Pipes and Cistern
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

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Q:

Ramesh, Kamal, Mohit, Amit and Rohit are standing in a row in the order of their heights. Ramesh is shorter than Kamal but taller than Rohit. Mohit is the tallest. Amit is a little shorter than Kamal but little taller than Ramesh. Who is the shortest?

A) Amit B) Mohit
C) Rohit D) Kamal
 
Answer & Explanation Answer: C) Rohit

Explanation:
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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams

1 2639
Q:

Arrange the given words in the sequence in which they occur in the dictionary.

 

1. Read

2. Real

3. Ready

4. Rather

5. Ratify

 

A) 32415 B) 12543
C) 45123 D) 45132
 
Answer & Explanation Answer: D) 45132

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

1 2637
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
Exam Prep: Bank Exams

4 2637
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:

Select the related word/letters/number from the given alternatives.

? : TV : : DE : HJ

A) IJ B) JK
C) GE D) LI
 
Answer & Explanation Answer: C) GE

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

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