6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ?

A) 12 days	B) 14 days
C) 13 days	D) 16 days

Answer & Explanation Answer: C) 13 days

Explanation:

Now, Total work = LCM(16, 8) = 48

A's one day work = + 48/16 = + 3

B's one day work = - 48/8 = -6

Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15

2days B joined with A in working = 2(3 - 6) = - 6

Remaining Work of building wall = 48 - (15 - 6) = 39

Now this remaining work will be done by A in = 39/3 = 13 days.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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23 13270

Q:

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit

A) 70%	B) 80%
C) 90%	D) None of above

Answer & Explanation Answer: A) 70%

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

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Filed Under: Profit and Loss

22 13259

Q:

What will be compounded amount?
I. Rs. 200 was borrowed for 192 months at 6% compounded annually.
II. Rs. 200 was borrowed for 16 years at 6%.

A) I alone sufficient while II alone not sufficient to answer	B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer	D) Both I and II are not sufficient to answer

Answer & Explanation Answer: C) Either I or II alone sufficient to answer

Explanation:

I. Amount = $R s . [200 * {(1 + \frac{6}{100})}^{16}]$

II. Amount = $R s [200 * {(1 + \frac{6}{100})}^{16}]$

Thus, I as well as II gives the answer.

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

2 13256

Q:

The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

A) Rs. 1100	B) Rs. 1200
C) Rs. 1000	D) Rs. 1840

Answer & Explanation Answer: B) Rs. 1200

Explanation:

P --- 10 ----- 600

P --- 5 ----- 300

3P --- 5 ----- 900
__________
1200

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Filed Under: Simple Interest
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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24 13251

Q:

The product of a number and its multiplicative inverse is

A) 1	B) 0
C) -1	D) Infinity

Answer & Explanation Answer: A) 1

Explanation:

The mutiplicative inverse of a number is nothing but a reciprocal of a number.

Now, the product of a number and its multiplicative inverse is always equal to 1.

For example :

Let the number be 15

Multiplicative inverse of 15 = 1/15

The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.

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Filed Under: Numbers
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21 13243

Q:

If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.

A) 5/12	B) 7/12
C) 3/14	D) 1/12

Answer & Explanation Answer: D) 1/12

Explanation:

Total number of elementary events = $10 C_{5}$

Number of ways of selecting no defective bulbs i.e., 5 non-defective bulbs out of 7 is $7 C_{5}$ .

So,required probability = $7 C_{5}$ / $10 C_{5}$ = 1/12.

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Filed Under: Probability

20 13238

Q:

If $3 x + 7 = x^{2} + p = 7 x + 5$ , what is the value of P ?

A) 17/2	B) 25/3
C) 33/4	D) 41/5

Answer & Explanation Answer: A) 17/2

Explanation:

$3 x + 7 = 7 x + 5 = > 7 x - 3 x = 2 = > 4 x = 2 = > x = 2$

Now, $3 x + 7 = x^{2} + p = \frac{3}{2} + 7 = \frac{1}{4} + p = > p = \frac{17}{2}$

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Filed Under: Simplification

11 13236

Q:

If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until there is $8000 in the account?

A) 6.9	B) 7.9
C) 8.9	D) 9.9

Quantitative Aptitude - Arithmetic Ability Questions

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