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Q:

A runs $1 \frac{2}{3}$ times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

A) 200 m	B) 300m
C) 270m	D) 160m

Answer & Explanation Answer: A) 200 m

Explanation:

Ratio of the speeds of A and B =5 : 1 = 5 :3

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of $(\frac{5}{2} * 80)$ m =200m

=> Winning post is 200 m away from the starting point.

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Filed Under: Races and Games

Q:

A man buys a watch for Rs1950 in cash and sells it for Rs 2200 at a credit of 1 yr. The rate of interest is 10% per annum. Then he gains or loose how much amount?

A) 50	B) 55
C) 15	D) 45

Answer & Explanation Answer: A) 50

Explanation:

S.P = P.W of Rs. 2200 due 1yr hence = Rs. [(2200 x 100)/100+(10 x 1)] = Rs.2000

Gain = Rs.(2000-1950) = Rs. 50

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Filed Under: True Discount

Q:

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

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

Answer & Explanation Answer: B) 4

Explanation:

$P {(1 + \frac{20}{100})}^{n} > 2 P \Leftrightarrow {(\frac{6}{5})}^{n} > 2$

$(\frac{6}{5} \times \frac{6}{5} \times \frac{6}{5} \times \frac{6}{5}) > 2$

so, answer is 4 years

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

Q:

What will be compounded amount?
I. Rs. 200 was borrowed for 192 months at 6% compounded annually.
II. Rs. 200 was borrowed for 16 years at 6%.

A) I alone sufficient while II alone not sufficient to answer	B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer	D) Both I and II are not sufficient to answer

Answer & Explanation Answer: C) Either I or II alone sufficient to answer

Explanation:

I. Amount = $R s . [200 * {(1 + \frac{6}{100})}^{16}]$

II. Amount = $R s [200 * {(1 + \frac{6}{100})}^{16}]$

Thus, I as well as II gives the answer.

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

Q:

The Present worth of Rs.2310 due $2 \frac{1}{2}$ years hence ,the rate of interest being 15% per annum, is :

A) Rs.1440	B) Rs.1750
C) Rs.1680	D) Rs.1840

Answer & Explanation Answer: C) Rs.1680

Explanation:

$P . W = R s . (\frac{100 \times 2310}{100 + (15 \times \frac{5}{2})})$ = Rs.1680

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Filed Under: True Discount

Q:

The difference between Simple Interest and True Discount on a certain sum of money for 6 months at $12 \frac{1}{2}$ % per annum is Rs 25. Find the sum.

A) Rs.6800	B) Rs.6500
C) Rs.6000	D) Rs.6200

Answer & Explanation Answer: A) Rs.6800

Explanation:

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Filed Under: True Discount

Q:

What is the difference between the compound interests on Rs. 5000 for $1 \frac{1}{2}$ years at 4% per annum compounded yearly and half-yearly?

A) Rs.3.06	B) Rs.2.04
C) Rs.3.65	D) Rs.5.40

Answer & Explanation Answer: B) Rs.2.04

Explanation:

C.I. when interest compounded yearly

$R s . [5000 * (1 + \frac{4}{100}) * (1 + \frac{\frac{1}{2} * 4}{100})]$

$R s . [5000 * \frac{26}{25} * \frac{51}{50}]$

=Rs.5034

C.I. when interest iscompounded half-yearly

$R s . [5000 * {(1 + \frac{2}{100})}^{3}]$

= Rs. 5306.04

Difference = Rs. (5306.04 - 5304) = Rs. 2.04

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

Q:

Which country won the World cup in 1999

A) Australia	B) South Africa
C) Pakistan	D) England

Answer & Explanation Answer: A) Australia

Explanation:

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Filed Under: Sports

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