6500+ Quantitative Aptitude Questions and Answers With Explanation

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
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17 7583

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 7582

Q:

In a cricket match total number of runs scored by Virat, Dhoni and Rohit is 285. The ratio of the number of runs scored by Virat and Rohit is 3 : 2 and that of the runs scored by Rohit and Dhoni is also 3 : 2. The number of runs scored by Virat in that match?

A) 154	B) 135
C) 112	D) 106

Answer & Explanation Answer: B) 135

Explanation:

From the given data,

Virat : Rohit = 3 : 2

Rohit : Dhoni = 3 : 2

Ratio of runs scored by Virat, Rohit and Dhoni respectively

= 3 x 3 : 2 x 3 : 2 x 2

9 : 6 : 4

Runs scored by Virat = 9/19 x 285 = 135.

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Filed Under: Ratios and Proportions
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26 7581

Q:

19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?

A) Rs. 1398.96	B) Rs. 1457.09
C) Rs. 1662.35	D) Rs. 1536.07

Answer & Explanation Answer: D) Rs. 1536.07

Explanation:

Let average expenditure was Rs. R

13 x 79 + 6x(R + 4) = 19R

=> R = Rs. 80.84

Total money = 19 x 80.84 = Rs. 1536.07.

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Filed Under: Average
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29 7580

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
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10 7567

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
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10 7567

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
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0 7567

Q:

A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ?

A) 8 m/h	B) 5 m/h
C) 7 m/h	D) 6 m/h

Answer & Explanation Answer: B) 5 m/h

Explanation:

As the distance travelled is constant, the time taken is inversely proportional to speed.

Let 'u' be the speed of the current and 'v' be the speed of the boat.

Speed of the boat downstream = v + u & upstream = v - u

=> v+u/v-u = 30/20 => v/u = 5 => v = 5u

=> v + u = 6u = 10/20/60 miles/hr

=> 6u = 30 m/h

=> u = 5 m/h

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Filed Under: Boats and Streams
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20 7551

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