6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ?

A) 45	B) 24
C) 42	D) 54

Answer & Explanation Answer: D) 54

Explanation:

By trial and error method from the given options,

as 54 - 45 = (1/11) x (45+54) = 99/11 = 9

Hence this satisfies the given conditions.

Then the woman's husband age is 54.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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10 8419

Q:

Find the length of the altitude of an equilateral triangle of side $3 \sqrt{3}$ cm.

A) 4.5	B) 3.5
C) 2.5	D) 6.5

Answer & Explanation Answer: A) 4.5

Explanation:

Let the length of the altitude be h.
Then, h = $a \frac{\sqrt{3}}{2}$ = $3 \sqrt{3} \times \frac{\sqrt{3}}{2}$ = 4.5

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Filed Under: Area
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3 8414

Q:

$9 \frac{3}{4} + 7 \frac{2}{17} - 9 \frac{1}{15} = ?$

A) 7 + 719/1020	B) 9 + 817/1020
C) 9 + 719/1020	D) 7 + 817/1020

Answer & Explanation Answer: D) 7 + 817/1020

Explanation:

$g i v e n s u m = 9 + \frac{3}{4} + 7 + \frac{2}{17} - (9 + \frac{1}{15})$

$(9 + 7 + 9) + (\frac{3}{4} + \frac{2}{17} - \frac{1}{15})$

=> $\frac{7 + (765 + 120 - 68)}{1020}$ => $7 + \frac{817}{1020}$

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Filed Under: Numbers

4 8410

Q:

A bill falls due in 1 year.The creditor agrees to accept immediate payment of the half and to defer the payment of the other half for 2 years.By this arrangement ins Rs.40.what is the amount of the bill,if he money be worth 12.5%?

A) 1200	B) 3000
C) 3600	D) 1300

Answer & Explanation Answer: C) 3600

Explanation:

Let the sum be Rs. x. Then,

$[\frac{x}{2} + \frac{\frac{x}{2} \times 100}{100 + (\frac{25}{2} \times 2)}] - \frac{x \times 100}{100 + (\frac{25}{2} \times 1)} = 40$

(x/2)+(2x/5)-(8x/9) = 40

x=3600.

Therfore, amount of bill=Rs. 3600.

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Filed Under: True Discount

5 8407

Q:

The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ?

A) 2(6!)	B) 6! x 7
C) 6! x ⁷P₆	D) None

Answer & Explanation Answer: C) 6! x ⁷P₆

Explanation:

We can initially arrange the six boys in 6! ways.
Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.

Hence required number of ways = 6! x ⁷P₆

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Filed Under: Permutations and Combinations
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6 8406

Q:

A restaurant offers a new promotion of 20% off the original price of cakes, which is Rs. 12. Before the promotion 250 cakes were sold each day. After the promotion, the sale of cakes increases an average of 18% more per day. How much more or less does the restaurant make each day in cakes sales after the promotion?

A) Rs. 185 less	B) Rs. 202 more
C) Rs. 175 more	D) Rs. 168 less

Answer & Explanation Answer: D) Rs. 168 less

Explanation:

Cost of each cake P1 & P2 = Rs. 12

Offer decrease in % = 20%

Increase in sale per day (Q2) = 250 - 18%

Total quantity per day (Q1) = 250

Hence, required change total revenue

TR = P2Q2 - P1Q1 = (12 x 0.8 x 250 x 1.18) - (12 x 250) = - Rs.168.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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15 8403

Q:

A shopkeeper gives 20% discount on the marked price of a book. He provides 1 pair of books free with the sale of 9 pair of books. In the whole transaction, he gets profit of 26%. Find the percentage increase in marked price from the cost price.

A) 35%	B) 65%
C) 75%	D) 26%

Answer & Explanation Answer: C) 75%

Explanation:

Given,Let the cost price of single book be Rs. 100.

The cost price of (9 + 1) = 10 pair i.e. 20 books = Rs. (100 × 20) = Rs. 2000.He gets profit of 26%.

So, the selling price of 9 pair i.e. 18 books = Rs. 2000 × (126/100) = Rs. 2520

Then,the selling price of single book = Rs. 2520/18 = Rs. 140

He gives 20% discount on the marked price of a book.

That means, when the selling price is Rs. 80 then the marked price is Rs. 100.

∴When the selling price of single book is Rs. 140, the marked price = Rs. 140 × (100/80) = Rs. 175

∴The percentage increase in marked price from the cost price = (175 –100)% = 75%

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Filed Under: Profit and Loss
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

7 8402

Q:

Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ?

A) Both are equally good	B) 9 3/4% stock at 117
C) Cannot be compared, as the total amount of investment is not given	D) 11% stock at 143

Answer & Explanation Answer: B) 9 3/4% stock at 117

Explanation:

Let investment in each case be Rs. (143 x 117).

Income in 1st case = Rs. $\frac{11}{143}$ x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs. $\frac{39}{4 \times 117}$ x 143 x 117= Rs. 1394.25

Clearly, 9 3/4% stock at 117 is better.

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Filed Under: Stocks and Shares
Exam Prep: CAT , Bank Exams , AIEEE
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12 8399

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