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Q:

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

A) 10/21	B) 11/21
C) 1/2	D) 2/7

Answer & Explanation Answer: A) 10/21

Explanation:

Total number of balls = (2 + 3 + 2) = 7.

Let S be the sample space.

Then, n(S) = Number of ways of drawing 2 balls out of 7 = $7 C_{2}$ = 21

Let E = Event of drawing 2 balls, none of which is blue.

n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls = $5 C_{2}$ = 10

Therefore, P(E) = n(E)/n(S) = 10/ 21.

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Filed Under: Probability

Q:

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A) 1/3	B) 3/5
C) 8/21	D) 7/21

Answer & Explanation Answer: A) 1/3

Explanation:

Total number of balls = (8 + 7 + 6) = 21.

Let E = event that the ball drawn is neither red nor green

= event that the ball drawn is blue.

n(E) = 7.

P(E) = n(E)/n(S) = 7/21 = 1/3.

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Filed Under: Probability

Q:

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A) 1/2	B) 3/5
C) 9/20	D) 8/15

Answer & Explanation Answer: C) 9/20

Explanation:

Here, S = {1, 2, 3, 4, ...., 19, 20}.

Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.

P(E) = n(E)/n(S) = 9/20.

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Filed Under: Probability

Q:

What is the compound interest earned at the end of 3 years?

I. Simple interest earned on that amount at the same rate and for the same period is Rs. 4500.

II.The rate of interest is 10 p.c.p.a.

III.Compound interest for 3 years is more than the simple interest for that period by Rs.465.

A) I and II only	B) II and III only
C) I and III only	D) Either II or III only

Answer & Explanation Answer: D) Either II or III only

Explanation:

I. gives, S.I for 3 years = Rs. 4500.

II. gives, Rate = 10% p.a.

III. gives, (C.I.) - (S.I.) = Rs. 465.

Clearly, using I and III we get C.I. = Rs. (465 + 4500).

Thus, II is redundant.

Also, from I and II, we get sum =

100 x 4500

= 15000.

10 x 3

Now C.I. on Rs. 15000 at 10% p.a. for 3 years may be obtained.

Thus, III is redundant.

Either II or III is redundant.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III. Simple interest earned per annum is Rs. 2000

A) I only	B) II and III only
C) All I, II and III	D) I only or II and III only

Answer & Explanation Answer: D) I only or II and III only

Explanation:

$I . \frac{P * R * 5}{100} = P \Leftrightarrow R = 20$

$I I . P {(1 + \frac{R}{100})}^{2} - P - \frac{P * R * 2}{100} = 400 = > p R^{2} = 4000000$

$I I I . \frac{P * R * 1}{100} = 2000 = > P R = 200000$

$\frac{P R^{2}}{P R} = \frac{4000000}{200000} \Leftrightarrow R = 20$

Thus I only or (II and III) give answer.

Correct answer is (D)

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

Q:

What will be the compound interest earned on an amount of Rs. 5000 in 2 years?

I. The simple interest on the same amount at the same rate of interest in 5 years is Rs.2000.

II. The compound interest and the simple interest earned in one year is the same.

III. The amount becomed more than double on compound interest in 10 years.

A) I only	B) .I and II only
C) II and III only	D) I and III only

Answer & Explanation Answer:

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

An amount of money was lent for 3 years. What will be the difference between the simple and the compound interest earned on it at the same rate?
I. The rate of interest was 8 p.c.p.a.
II. The total amount of simple interest was Rs. 1200

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

Answer & Explanation Answer: D) Both I and II are necessary to answer

Explanation:

Given: T = 3 years.
I. gives: R = 8% p.a.
II. gives: S.I. = Rs. 1200.
Thus, P = Rs. 5000, R = 8% p.a. and T = 3 years.
Difference between C.I. and S.I. may be obtained.
So, the correct answer is (D).

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

Q:

Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received Rs.550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received Rs.605 as interest. What was the value of his total savings before investing in thesetwo bonds?

A) Rs.2543	B) Rs.2534
C) Rs.2546	D) Rs.2750

Answer & Explanation Answer: D) Rs.2750

Explanation:

Shawn received an extra amount of (Rs.605 – Rs.550) Rs.55 on his compound interest paying bond as the interest that he received in the first year also earned interest in the second year.

The extra interest earned on the compound interest bond = Rs.55

The interest for the first year =550/2 = Rs.275

Therefore, the rate of interest = $\frac{55}{275} * 100$ = 20% p.a.

20% interest means that Shawn received 20% of the amount he invested in the bonds as interest.

If 20% of his investment in one of the bonds = Rs.275, then his total investment in each of the bonds = $\frac{275}{20} * 100$ = 1375.

As he invested equal sums in both the bonds, his total savings before investing = 2 x 1375 =Rs.2750.

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

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