6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

A) 10	B) 13
C) 14	D) 15

Answer & Explanation Answer: B) 13

Explanation:

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

More working hours per day, Less days (Indirect Proportion)

$\begin{array}{r} \begin{matrix} P e r s o n s & 30 : 39 \end{matrix} \\ \begin{matrix} W o r k i n g h o u r s / d a y & 6 : 5 \end{matrix} \end{array}\} ⋮ ⋮ 12 : x$

=> 30 * 6 * x = 39 * 5 * 12

=> x= 13

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57 57907

Q:

If $\sin θ = 40 / 41$ , then $c o t θ$ is

A) 40/9	B) 9/40
C) 9/41	D) 41/9

Answer & Explanation Answer: B) 9/40

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 57852

Q:

Find the value of $\{{(216)}^{\frac{2}{3}} + {(36)}^{\frac{- 1}{2}}\}$

A) 216/6	B) 218/6
C) 215/6	D) 217/6

Answer & Explanation Answer: D) 217/6

Explanation:

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Exam Prep: Bank Exams

0 57770

Q:

What is the value of $\sqrt[3]{512} + \sqrt{169} + \sqrt[3]{216} + \sqrt{225}$ ?

A) 48	B) 32
C) 42	D) 36

Answer & Explanation Answer: C) 42

Explanation:

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Exam Prep: Bank Exams

0 57671

Q:

At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together?

A) (5 + 5/11 )min past 7	B) (6 + 5/11) min past 7
C) 7	D) 8

Answer & Explanation Answer: A) (5 + 5/11 )min past 7

Explanation:

When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o'clock, they are 25 min. spaces apart.
$\therefore$ Minute hand will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.

5 min spaces are gained in $(\frac{60}{55} * 5)$ min = $5 \frac{5}{11}$ min

so, Required time = $5 \frac{5}{11}$ min past 7

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

90 57629

Q:

If $y - \frac{1}{y} = 4$ , then find the value of $(y^{3} - \frac{1}{y^{3}})$ .

A) 64	B) 76
C) 88	D) 90

Answer & Explanation Answer: B) 76

Explanation:

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0 57610

Q:

Which of the following statement(s) is/are CORRECT?

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: C) Neither I nor II

Explanation:

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0 57491

Q:

Solve the following

$78 \div [- 4 + (- 3) of \{27 \div (- 18 \div - 2)\}]$

A) -6	B) 13
C) 6	D) 15.6

Quantitative Aptitude - Arithmetic Ability Questions

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