6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?

A) 1/7	B) 2/7
C) 3/7	D) 2/5

Answer & Explanation Answer: B) 2/7

Explanation:

P(getting prize) = 10/ (10 + 25) =2/7

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Filed Under: Probability

1 7607

Q:

The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?

A) 6cm	B) 5cm
C) 3cm	D) 4cm

Answer & Explanation Answer: A) 6cm

Explanation:

A=lb

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

0 7605

Q:

The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ?

A) 18 cm	B) 12 cm
C) 16 cm	D) 14 cm

Answer & Explanation Answer: D) 14 cm

Explanation:

circumference of a circle = 2 $π$ r

=> 2 × 22/7 × r – r = 37

=> 37/7 × r = 37

=> r = 7 cm.

Diameter D = 2r = 7×2 = 14 cm.

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Filed Under: Area
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

17 7598

Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

A) 1500	B) 1600
C) 6200	D) 6000

Answer & Explanation Answer: D) 6000

Explanation:

Let amount be Rs. x.

Then, [X * R * T] / [100+(R * T)]

$\Rightarrow \frac{x \times 12 \times \frac{3}{4}}{100 + (12 \times \frac{3}{4})} = 540$

x= Rs.6540

Amount = Rs. 6540.

P.W. = Rs. (6540 – 540) =Rs. 6000.

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Filed Under: True Discount

7 7587

Q:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

A) 145	B) 155
C) 165	D) 175

Answer & Explanation Answer: B) 155

Explanation:

Angle traced by hour hand in 12 hrs = 360º

Angle traced by hour hand in 5 hrs 10 min. i.e $\frac{31}{6}$ hrs = ${(\frac{360}{12} \times \frac{31}{6})}^{0}$ = $155^{0}$

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

10 7578

Q:

Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.

A) 1:2	B) 1;3
C) 1:4	D) 1:5

Answer & Explanation Answer: A) 1:2

Explanation:

$4 \times 3.14 \times r^{2} : 4 \times 3.14 \times {(\sqrt{r})}^{2} = 1 : 2$

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

10 7575

Q:

In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course

A) 32	B) 42
C) 62	D) 92

Answer & Explanation Answer: D) 92

Explanation:

P = 2l + 2w

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

0 7569

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
Job Role: Bank PO , Bank Clerk

11 7563

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