The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:

Byadmin July 18, 2022

Question:
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:

[A].

6.06%

[B].

6.07%

[C].

6.08%

[D].

6.09%

Answer: Option D

Explanation:

Amount of Rs. 100 for 1 year when compounded half-yearly		= Rs.		100 x		1 +	3		2		= Rs. 106.09
							100

Effective rate = (106.09 – 100)% = 6.09%

Aptitude | Numbers

If the number 5 * 2 is divisible by 6, then * = ?

Question:
If the number 5 * 2 is divisible by 6, then * = ?

[A].

2
[B].
3
[C].
6
[D].
7

Answer: Option A

Explanation:

6 = 3 x 2. Clearly, 5 * 2 is divisible by 2. Replace * by x.

Then, (5 + x + 2) must be divisible by 3. So, x = 2.

Read More If the number 5 * 2 is divisible by 6, then * = ?
Aptitude | Numbers

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

Question:
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

[A].

240
[B].
270
[C].
295
[D].
360

Answer: Option B

Explanation:

Let the smaller number be x. Then larger number = (x + 1365).

x + 1365 = 6x + 15

5x = 1350

x = 270

Smaller number = 270.

Read More The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Aptitude | Partnership

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

Question:
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

[A].

Rs. 1900
[B].
Rs. 2660
[C].
Rs. 2800
[D].
Rs. 2840

Answer: Option B

Explanation:

For managing, A received = 5% of Rs. 7400 = Rs. 370.

Balance = Rs. (7400 – 370) = Rs. 7030.

Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)

= 39000 : 42000 : 30000

= 13 : 14 : 10

B’s share = Rs. 7030 x 14 = Rs. 2660.

37

Read More A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
Aptitude | Probability

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

Question: Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

[A].

3

20

[B].

29

34

[C].

47

100

[D].

13

102

Answer: Option D

Explanation:

Let S be the sample space.

Then, n(S) = 52C2 = (52 x 51) = 1326.

(2 x 1)

Let E = event of getting 1 spade and 1 heart.

n(E) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13

= (13C1 x 13C1)

= (13 x 13)

= 169.

P(E) = n(E) = 169 = 13 .

n(S) 1326 102

Read More Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Compound Interest | Mathematics Mcqs

Jameel invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?

Jameel invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?

A. 8% p.a.
B. 6% p.a.
C. 4% p.a.
D. 5% p.a.
E. None of these
Explanation:
Let the rate of interest be R% p.a.
17400[1 + R/100]2 = 17400 + 1783.50
[1 + R/100]2 = (17400 + 1783.50)/17400
= 1 + 1025/10000 = 1 + 41/400
= 441/400 = [21/20]2
[1 + R/100] = 21/20
R/100 = 1/20
Therefore R = 5

Read More Jameel invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Aptitude | Problems on Numbers

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

Question:
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

[A].

18
[B].
24
[C].
42
[D].
81

Answer: Option B

Explanation:

Let the ten’s and unit digit be x and 8 respectively.

x

Then, 10x + 8 + 18 = 10 x 8 + x

x x

10×2 + 8 + 18x = 80 + x2

9×2 + 18x – 72 = 0

x2 + 2x – 8 = 0

(x + 4)(x – 2) = 0

x = 2.

Read More A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

B’s share = Rs.		7030 x	14		= Rs. 2660.
			37

Then, n(S) = 52C2 =	(52 x 51)	= 1326.
	(2 x 1)

n(E)	= number of ways of choosing 1 spade out of 13 and 1 heart out of 13
	= (13C1 x 13C1)
	= (13 x 13)
	= 169.

P(E) =	n(E)	=	169	=	13	.
	n(S)		1326		102

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