The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

Byadmin July 18, 2022

Question:
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

[A].

[B].

2	1
	2

[C].

[D].

Answer: Option A

Explanation:

Amount = Rs. (30000 + 4347) = Rs. 34347.

Let the time be n years.

Then, 30000		1 +	7		n	= 34347
			100

		107		n	=	34347	=	11449	=		107		2
		100				30000		10000			100

n = 2 years.

Aptitude | Simplification

If a – b = 3 and a2 + b2 = 29, find the value of ab.

Question:
If a – b = 3 and a2 + b2 = 29, find the value of ab.

[A].

10
[B].
12
[C].
15
[D].
18

Answer: Option A

Explanation:

2ab = (a2 + b2) – (a – b)2

= 29 – 9 = 20

ab = 10.

Read More If a – b = 3 and a2 + b2 = 29, find the value of ab.
Aptitude | Partnership

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:

Question:
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:

[A].

Rs. 1425
[B].
Rs. 1500
[C].
Rs. 1537.50
[D].
Rs. 1576

Answer: Option B

Explanation:

Let the total profit be Rs. 100.

After paying to charity, A’s share = Rs. 95 x 3 = Rs. 57.

5

If A’s share is Rs. 57, total profit = Rs. 100.

If A’s share Rs. 855, total profit = 100 x 855 = 1500.

57

Read More A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:
Aptitude | Numbers

106 x 106 – 94 x 94 = ?

Question:
106 x 106 – 94 x 94 = ?

[A].

2400
[B].
2000
[C].
1904
[D].
1906

Answer: Option A

Explanation:

106 x 106 – 94 x 94 = (106)2 – (94)2

= (106 + 94)(106 – 94) [Ref: (a2 – b2) = (a + b)(a – b)]

= (200 x 12)

= 2400.

Read More 106 x 106 – 94 x 94 = ?
Aptitude | Odd Man Out And Series

19, 26, 33, 46, 59, 74, 91

Question:
19, 26, 33, 46, 59, 74, 91

[A].

26
[B].
33
[C].
46
[D].
59

Answer: Option B

Explanation:

Go on adding 7, 9, 11, 13, 15, 17 respectively to obtain the next number.

So, 33 is wrong. It must be 35

Read More 19, 26, 33, 46, 59, 74, 91
Aptitude | Volume And Surface Area

66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

Question:
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

[A].

84
[B].
90
[C].
168
[D].
336

Answer: Option A

Explanation:

Let the length of the wire be h.

Radius = 1 mm = 1 cm. Then,

2 20

22 x 1 x 1 x h = 66.

7 20 20

h = 66 x 20 x 20 x 7 = 8400 cm = 84 m.

22

Read More 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
Aptitude | Time And Work

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

Question: A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
[A].

8 days
[B].
10 days
[C].
12 days
[D].
15 days

Answer: Option C

Explanation:

(A + B)’s 1 day’s work = 1 + 1 = 1 .

15 10 6

Work done by A and B in 2 days = 1 x 2 = 1 .

6 3

Remaining work = 1 – 1 = 2 .

3 3

Now, 1 work is done by A in 1 day.

15

2 work will be done by a in 15 x 2 = 10 days.

3 3

Hence, the total time taken = (10 + 2) = 12 days.

Read More A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

After paying to charity, A’s share = Rs.		95 x	3		= Rs. 57.
			5

If A’s share Rs. 855, total profit =		100	x 855		= 1500.
		57

106 x 106 – 94 x 94	= (106)2 – (94)2
	= (106 + 94)(106 – 94) [Ref: (a2 – b2) = (a + b)(a – b)]
	= (200 x 12)
	= 2400.

Radius =	1	mm	=	1	cm.	Then,
	2			20

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