5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

If $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$ then find the value of $x^{3} - 6 x^{2} + 6 x$ ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given that $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

So x - 2 = $2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

Now cubing on both sides, we get

=> $x^{3} - 8 - 6 x^{2} + 12 x = 4 + 2 + 6 (x - 2)$

Therefore, $x^{3} - 6 x^{2} + 6 x = - 6 + 8 = 2$

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Filed Under: Square Roots and Cube Roots
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

11 3734

Q:

Express 3/8 and 1/10 as a Decimals?

A) 1.375 & 1	B) 0.375 & 1
C) 13.75 & 1.1	D) 0.375 & 0.1

Answer & Explanation Answer: D) 0.375 & 0.1

Explanation:

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> $\frac{3 x 125}{8 x 125} = \frac{375}{1000} = 0.375$

1/10 as a Decimal :

1 divided into 10 parts of each 0.1.

Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

3 3733

Q:

Pipe A is an inlet pipe that can fill an empty cistern in 69 hours. Pipe B can drain the filled cistern in 46hours. When the cistern was filled the two pipes are opened one at a time for an hour each, starting withPipe B. how long will it take for the cistern to be empty?

A) 11 days 10 hours	B) 11 days 7 hours
C) 11 days 12 hours	D) 1 days 13 hours

Answer & Explanation Answer: B) 11 days 7 hours

Explanation:

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

22 3730

Q:

If 60% discount is offered on the marked price and selling price becomes equal to cost price then what was the % mark up?

A) 100	B) 250
C) 150	D) 40

Answer & Explanation Answer: C) 150

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

12 3727

Q:

What is the unit digit of ${(217)}^{413} \times {(819)}^{547} \times {(414)}^{624} \times {(342)}^{812} ?$

A) 2	B) 4
C) 6	D) 8

Answer & Explanation Answer: D) 8

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

8 3723

Q:

If A is brother of the son of B's son, how is A related to B?

A) Grandson	B) Brother
C) Son	D) Father

Answer & Explanation Answer: A) Grandson

Explanation:

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Filed Under: Blood Relations
Exam Prep: Bank Exams

15 3722

Q:

One paper is equally folded 35 times, then what is the new thickness of the paper ?

A) T(2^50)	B) 50T
C) 2 x 50 T	D) T/50

Answer & Explanation Answer: A) T(2^50)

Explanation:

Let initial thickness of the paper be 'T'
after first fold it will be '2T' = $2^{1} T$
after second fold it will be '4T' = $2^{2} T$
after 50th fold it will be T x ( $2^{50}$ T)

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Filed Under: Logic
Exam Prep: TOEFL , GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

5 3722

Q:

In a certain code language, "BIOLOGY" is written as "YRLOLTB". How is "PHYSICS" written in that code language?

A) KSXRBHH	B) KSBHRXH
C) XHRHBSK	D) KSBHXRH

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Data Interpretation

Verbal Reasoning - Logical Deduction

Verbal Reasoning - Mental Ability

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