Exams Questions and Answers

Q:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

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

Answer & Explanation Answer: A) 3:1

Explanation:

$\frac{v 1}{v 2} = \frac{{r_{1}}^{2} H}{{r_{2}}^{2} H}$

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

28 14711

Q:

217 x 217 + 183 x 183 = ?

A) 84521	B) 87487
C) 80578	D) 78458

Answer & Explanation Answer: C) 80578

Explanation:

${(217)}^{2} + {(183)}^{2}$

= ${(200 + 17)}^{2} + {(200 - 17)}^{2}$

It is in the form of ${(a + b)}^{2} + {(a - b)}^{2} = 2 (a^{2} + b^{2})$

= 2(40000 + 289) = 80578.

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

20 14689

Q:

If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ?

A) Rs. 20	B) Rs. 24
C) Rs. 26	D) Rs. 29

Answer & Explanation Answer: A) Rs. 20

Explanation:

Let the original price of rice be Rs. x

Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs

From given data, for Rs. 500

x ---- R kgs

(x + 25x/100) ---- (R - 5) kgs

=> Rx = (R - 5)(x + 25x/100)

=> Rx = (R - 5)(125x/100)

=> 100Rx = 125Rx - 625x

=> R = 25

So at rate of Rs. x/kg, man get 25 kgs for Rs. 500

=> x = 500/25 = Rs. 20

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

21 14689

Q:

A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

A) 48	B) 12
C) 36	D) 60

Answer & Explanation Answer: A) 48

Explanation:

If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.

Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.

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Filed Under: Ratios and Proportions
Exam Prep: GRE

44 14668

Q:

In the following question, select the missing number from the given series.

2187, 729, 243, 81, 27, ?

A) 10	B) 9
C) 13	D) 11

Answer & Explanation Answer: B) 9

Explanation:

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Filed Under: Number Series
Exam Prep: Bank Exams

0 14666

Q:

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

A) Rs.1550	B) Rs.1650
C) Rs,1750	D) Rs.1850

Answer & Explanation Answer: C) Rs,1750

Explanation:

C.I.= Rs.[4000*(1+10/100)^2-4000]

=Rs.840

sum=Rs.(420 * 100)/3*8=Rs.1750

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

23 14665

Q:

If the standard deviation of a population is 3, what would be the population variance?

A) 9	B) 6
C) 8	D) 15

Answer & Explanation Answer: A) 9

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

7 14664

Q:

Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ?

A) 2 hrs	B) 20 min
C) 40 min	D) 30 min

Answer & Explanation Answer: B) 20 min

Explanation:

In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.

Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.

stoppage time = 20/60 hrs = 20 min.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

12 14655

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