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 3543

Q:

Manogna's father was 38 years of age when she was born while her mother was 36 years old when her brother, 4 years younger than her, was born. What is the difference between the ages of her parents?

A) 2 years	B) 4 years
C) 6 years	D) 8 years

Answer & Explanation Answer: C) 6 years

Explanation:

From the given data,

Manogna’s age be 0 when she was born.

Her father’s age = 38 years

Her mother’s age when Manogna’s brother who is 4 years younger to her was born = 36 years

=> Manogna’s mother age when Manogna was born = 36 - 4 = 32 years

Hence, the difference between the ages of Manogna’s parents = 38 - 32 = 6 years.

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Filed Under: Problems on Ages
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3 3542

Q:

Aarav's birthday is on Sunday, 12th March . On what day of the week will be Madhup's Birthday in the same year if Madhup was born on 10th August?

A) Thursday	B) Wednesday
C) Friday	D) Saturday

Answer & Explanation Answer: A) Thursday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

20 3534

Q:

A five digit number is formed with the digits 0,1,2,3 and 4 without repetition. Find the chance that the number is divisible by 5.

A) 3/5	B) 1/5
C) 2/5	D) 4/5

Answer & Explanation Answer: B) 1/5

Explanation:

5 digit number = 5! = 120

Divisible by 5 then the last digit should be 0

Then the remaining position have the possibility = 4!

= 24

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Filed Under: Probability

25 3524

Q:

A, B and C together can finish a task in 12 days. A is twice as productive as B and C alone can do the task in 36 days. In how many days can A and B do the task if C goes on leave?

A) 10	B) 20
C) 15	D) 18

Answer & Explanation Answer: D) 18

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 3510

Q:

A woman suffered 20% loss on first investment and made 10% profit at second investment and 12 ½% profit on the third investment. If the invested amount be in the ratio of 4 : 5 : 3, find her profit percentage?

A) 0.625%	B) 1.205%
C) 0.987%	D) 0%

Answer & Explanation Answer: A) 0.625%

Explanation:

From the given data,

let the amounts invested be 4p, 5p and 3p

Net profit = Total profit - Total loss

= 10x5p/100 + 25x3p/200 - 20x4p/100

= 0.875p - 0.8p

= 0.075p

Therefore, profit% = (Net profit/Total investment) x 100

= 0.075 x 100/12

= 0.0625%

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Filed Under: Percentage
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9 3505

Q:

Find the average of first 50 natural numbers?

A) 25	B) 25.5
C) 26	D) 26.5

Answer & Explanation Answer: B) 25.5

Explanation:

We Know that sum of the n natural numbers = $\frac{n (n + 1)}{2}$

Then sum of 50 natural numbers= $\frac{50 (51)}{2}$ = 1250

Average of the 50 natural numbers = $\frac{1250}{50}$ = 25.5

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Filed Under: Average
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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22 3500

Q:

What lump sum deposited today would allow payments of $2000/year for 7 years at 5% compounded annually?

A) 11572.71	B) 11876
C) 189756	D) 11576

Quantitative Aptitude - Arithmetic Ability Questions

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