6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

How many prime numbers exist in $6^{5} \times 35^{9} \times 11^{3}$ ?

A) 29	B) 31
C) 33	D) 27

Answer & Explanation Answer: B) 31

Explanation:

Given $6^{5} \times 35^{9} \times 11^{3}$

$\Rightarrow {(2 \times 3)}^{5} \times {(5 \times 7)}^{9} \times 11^{3}$

$\Rightarrow 2^{5} \times 3^{5} \times 5^{9} \times 7^{9} \times 11^{3}$

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

5 3923

Q:

A bottle is sold at a loss of 9%. Had it sold for Rs. 15 more, a profit of 25/2% would have gained. What is the cost price of the bottle (approx)?

A) Rs. 32	B) Rs. 35
C) Rs. 36	D) Rs. 33

Answer & Explanation Answer: B) Rs. 35

Explanation:

Let the cost price of the bottle = Rs. 100

Selling price of the bottle = Rs. 100 - Rs. 9 = Rs. 91

Then, from the given data,

=> 112 (1/2) - 91 = 15

=> 21 (1/2) = 15

=> 43 = 15

Then 100 = ?

1500/43 = 34.885 =~ 35

Hence, the cost price of the bottle = Rs. 35

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

5 3922

Q:

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

A) 205	B) 194
C) 209	D) 159

Answer & Explanation Answer: C) 209

Explanation:

We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys).

Required number of ways = ( ${}^{6}C_{1} \times {}^{4}C_{3}$ ) + $({}^{6}C_{2} \times {}^{4}C_{2})$ + ( ${}^{6}C_{3} \times {}^{4}C_{1}$ ) + ( ${}^{6}C_{4}$ )

= (24+90+80+15)

= 209.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

7 3918

Q:

If the 14th September of an year is a Tuesday, then which day of the week will the 17th October of the same year be?

A) Thursday	B) Saturday
C) Sunday	D) Monday

Answer & Explanation Answer: C) Sunday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

14 3917

Q:

A 6% stock yields 8%. The market value of the stock is:

A) 70	B) 76
C) 75	D) 80

Answer & Explanation Answer: C) 75

Explanation:

For an income of Rs. 8, investment = Rs. 100.

For an income of Rs. 6, investment = $R s . (\frac{100}{8} * 6)$ = Rs. 75.

Market value of Rs. 100 stock = Rs. 75.

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Filed Under: Stocks and Shares

1 3917

Q:

The bankers discount and true discount on a sum of money due 8 months hence are Rs.120 & Rs.110 resp. Find the sum.

A) 1457	B) 1320
C) 1140	D) 1260

Answer & Explanation Answer: B) 1320

Explanation:

Sum = (B.D * T.D) / (B.D) -(T.D)

= (120 * 110) / (120 -110)

= 1320

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Filed Under: Banker's Discount

2 3916

Q:

What should be the maximum value of B in the following equation?
8A9 – 6B2 + 4C6 = 723

A) 4	B) 1
C) 5	D) 7

Answer & Explanation Answer: D) 7

Explanation:

1 1
8 A 9
+ 4 C 6
- 6 B 2
7 2 3
We may represent the given sum, as shown below:

1 + A + C - B = 12
A + C - B = 11

Now,giving the maximum values to A and C, i.e.

A = 9 and C = 9, we get B = 7.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

5 3916

Q:

5 + 2 x 10 =

A) 70	B) 20
C) 25	D) 52

Answer & Explanation Answer: C) 25

Explanation:

According to BODMAS rule,

After multiplication only, addition is done.

Hence,

5 + 2 x 10 = 5 + 20 = 25.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

4 3914

Quantitative Aptitude - Arithmetic Ability Questions

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