6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

A) 75	B) 82
C) 100	D) 110

Answer & Explanation Answer: D) 110

Explanation:

Originally let there be x men.

Less men, More days (Indirect Proportion)

Therefore, (x-10) : x :: 100 :110

=> (x - 10) * 110 = x * 100 => x= 110

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Filed Under: Chain Rule

96 44325

Q:

If the product 4864*9 P 2 is divisible by 12, the value of p:

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

Answer & Explanation Answer: A) 1

Explanation:

Clearly 4864 is divisible by 4
So, 9 P 2 must be divisible by 3. So (9+P+2) must be divisible by 3.
So P=1.

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Filed Under: Numbers

76 44310

Q:

Simplify 5x(x + 2) + 4x

A) 5x2 + 10	B) 9x + 10
C) 5x2 - 14x	D) 5x2 + 14x

Answer & Explanation Answer: D) 5x2 + 14x

Explanation:

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams

0 44262

Q:

Calculate the value of x, if $\sqrt{1 - (\frac{x}{529})} = (\frac{16}{23})$

A) 283	B) 276
C) 273	D) 374

Answer & Explanation Answer: C) 273

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

3 44244

Q:

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

A) 100	B) 200
C) 300	D) 400

Answer & Explanation Answer: D) 400

Explanation:

Let the numbers be x and y.

Then, xy = 9375 and x/y = 15.

$(\frac{x y}{\frac{x}{y}}) = 9375 / 15$

=> $y^{2} = 625$

=> y = 25

=> x = 15y = 15 x 25 = 375.

Sum of the numbers = 375 + 25 = 400.

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Filed Under: Problems on Numbers

35 44224

Q:

In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?

Answer

Let the C.P of spirit be = Rs.10 per litre

Then S.P l litre of the mixture = Rs. 11

Profit = 20%

Therefore, C.P of the mixture = Rs. $[\frac{100}{120} \times 10]$ = Rs. 25/3 per litre

Therefore, Ratio of water and spirit = 1 : 5

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Subject: Alligation or Mixture

188 44130

Q:

The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly

A) Rs.24.64	B) Rs.21.85
C) Rs.16	D) Rs.16.80

Answer & Explanation Answer: A) Rs.24.64

Explanation:

For 1st year S.I =C.I.

Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200

i.e S.I on the principal for 1 year is Rs.200

Principle = $R s . \frac{100 * 200}{8 * 1}$ = Rs.2500

Amount for 2 years, compounded half-yearly

$R s . [2500 * {(1 + \frac{4}{100})}^{4}] = R s . 2924.4$

C.I = Rs.424.64

Also, $S . I = R s . (\frac{2500 * 8 * 2}{100}) = R s . 400$

Hence, [(C.I) - (S.I)] = Rs. (424.64 - 400) = Rs.24.64

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

121 44127

Q:

Find the value of ${[7 {(64^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}$

A) 7	B) 6
C) 49	D) 343

Quantitative Aptitude - Arithmetic Ability Questions

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