6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Which of the following statement(s) is/are true?

$I . {(65)}^{1 / 6} > {(17)}^{1 / 4} > {(12)}^{1 / 3} II . {(17)}^{1 / 4} > {(65)}^{1 / 6} > {(12)}^{1 / 3} III . {(12)}^{1 / 3} > {(17)}^{1 / 4} > {(65)}^{1 / 6}$

A) Only I	B) Only III
C) Only II	D) None of these

Answer & Explanation Answer: B) Only III

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 69417

Q:

A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

A) 4 months	B) 5 months
C) 6 months	D) 8 months

Answer & Explanation Answer: D) 8 months

Explanation:

Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.

So, B joined for 8 months.

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Filed Under: Partnership

97 69338

Q:

An air conditioner can cool the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ?

A) 18 minutes	B) 19 minutes
C) 22 minutes	D) 24 minutes

Answer & Explanation Answer: C) 22 minutes

Explanation:

Let the two conditioners be A and B

'A' cools at 40min

'B' at 45min

Together = (a x b)/(a + b)

= (45 x 40)/(45 + 40)

= 45 x 40/85

= 21.1764

= 22 min (approx).

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

94 69309

Q:

If z = 6 - 2√3, then find the value of ${(\sqrt{z} - \frac{1}{\sqrt{z}})}^{2}$ .

A) 102 - 4634	B) 102 - 4632
C) 102 - 46324	D) 12 - 46324

Answer & Explanation Answer: C) 102 - 46324

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 69214

Q:

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

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

Answer & Explanation Answer: B) 2

Explanation:

Let the numbers 13a and 13b.

Then, 13a x 13b = 2028

=>ab = 12.

Now, the co-primes with product 12 are (1, 12) and (3, 4).

[Note: Two integers a and b are said to be coprime or relatively prime if they have no common positive factor other than 1 or, equivalently, if their greatest common divisor is 1 ]

So, the required numbers are (13 x 1, 13 x 12) and (13 x 3, 13 x 4).

Clearly, there are 2 such pairs.

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Filed Under: HCF and LCM

231 69117

Q:

What is the value of (√2/3 - cosec60)?

A) (√6-6)/3√3	B) (2-2√3)/√3
C) (1-√6)/√2	D) (4-√3)/2√3

Answer & Explanation Answer: A) (√6-6)/3√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 69114

Q:

A person crosses a 600 m long street in 5 minutes, What is his speed in km per hour?

A) 3.6	B) 7.2
C) 8.4	D) 10

Answer & Explanation Answer: B) 7.2

Explanation:

Speed = $(\frac{600}{5 \times 60}) m / s e c$ = 2 m/sec = 2 x (18/5) km/hr = 7.2 km/hr

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Filed Under: Time and Distance

315 69092

Q:

Simplify : ${(25)}^{\frac{3}{2}}$

A) 625	B) 15625
C) 125	D) √125

Quantitative Aptitude - Arithmetic Ability Questions

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