Average Questions Quiz for SBI PO Pre, IBPS PO Pre, SBI Clerk, IBPS Clerk, 2023

1

In a class with a certain number of students if one new student weighing 50 kg is added, then average weight of class is increased by 1 kg. If one more student weighing 50 kg is added, then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?

» Explain it

Correct Option: D

Let x be the number of students in the class and y be the average weight of the class

Now according to question,

xy + 50	= y + 1
x + 1

x + y = 49 .......... (i) Again,

xy + 50 + 50	= y + 1.5
x + 2

1.5x + 2y = 97 .......... (ii)

From equation (i) and (ii), we get y = 47

Hence, option (D) is correct.

1

एक निश्चित संख्या में छात्रों वाली कक्षा में यदि 50 किग्रा वजन का एक नया छात्र जोड़ा जाता है, तो कक्षा के औसत वजन में 1 किग्रा की वृद्धि होती है। यदि 50 किलो वजन वाले एक और छात्र को जोड़ा जाता है, तो कक्षा का औसत वजन मूल औसत से 1.5 किलो बढ़ जाता है। कक्षा का वास्तविक औसत भार (किलो में) कितना है?

» Explain it

सही विकल्प : D

Let x be the number of students in the class and y be the average weight of the class

Now according to question,

xy + 50	= y + 1
x + 1

x + y = 49 .......... (i) Again,

xy + 50 + 50	= y + 1.5
x + 2

1.5x + 2y = 97 .......... (ii)

From equation (i) and (ii), we get y = 47

Hence, option (D) is correct.

2

While purchasing an item that costs Rs. 400, one has to pay sales tax at the rate of 7% and on another item costing Rs. 6400, the rate of sales tax was 9%. The percent of sales tax one has to pay, taking these items together on an average is?

A

6	13	%
	16

B

7	14	%
	17

C

9	18	%
	15

D

8	15	%
	17

E

None of these

» Explain it

Correct Option: D

Sales tax on the article sold at Rs. 400 =	400 × 7	= 28
	100

Sales tax on the article sold at Rs. 6400

=	6400 × 9	= 576
	100

Total tax = 28 + 576 = 604

Percentage sales tax =	604	× 100 =	151	= 8	15	%
	6800		17		17

Hence, option (D) is correct.

2

एक वस्तु जिसकी कीमत 400 रुपये है, खरीदते समय 7% की दर से बिक्री कर का भुगतान करना पड़ता है और दूसरी वस्तु पर 6400 रुपये की बिक्री कर की दर 9% थी। इन वस्तुओं को एक साथ मिलाकर औसतन कितना प्रतिशत बिक्री कर देना पड़ता है ?

A

6	13	%
	16

B

7	14	%
	17

C

9	18	%
	15

D

8	15	%
	17

E

इनमें से कोई नहीं।

» Explain it

सही विकल्प : D

Sales tax on the article sold at Rs. 400 =	400 × 7	= 28
	100

Sales tax on the article sold at Rs. 6400

=	6400 × 9	= 576
	100

Total tax = 28 + 576 = 604

Percentage sales tax =	604	× 100 =	151	= 8	15	%
	6800		17		17

Hence, option (D) is correct.

3

The average salary of male employees in a firm was Rs. 6000 and that of females was Rs. 5600. The mean salary of all the employees was Rs. 5800. What is the % of female employees?

» Explain it

Correct Option: B

Average salary of male employees = Rs. 6000

Average salary of female employees = Rs. 5600

Mean salary = Rs. 5800

By using alligation

(6000)				(5600)
	\		/
		(5800)
	/		\
200				200

∴ The ratio of male : female = 200 : 200 = 1 : 1

Hence, % of female employees =	1	× 100 = 50%
	2

Therefore, option (B) is correct.

3

एक फर्म में पुरुष कर्मचारियों का औसत वेतन रु. 6000 और महिलाओं का औसत वेतन रु 5600 था। सभी कर्मचारियों का औसत वेतन रु. 5800 था तो महिला कर्मचारियों का प्रतिशत क्या है?

» Explain it

सही विकल्प : B

Average salary of male employees = Rs. 6000

Average salary of female employees = Rs. 5600

Mean salary = Rs. 5800

By using alligation

(6000)				(5600)
	\		/
		(5800)
	/		\
200				200

∴ The ratio of male : female = 200 : 200 = 1 : 1

Hence, % of female employees =	1	× 100 = 50%
	2

Therefore, option (B) is correct.

4

The average salary of 65 workers is Rs. 5680 out of which average salary of 31 workers is Rs. 2356 and that of 23 workers is Rs. 4589. What is the average salary of remaining workers?(value in approximate)

» Explain it

Correct Option: C

Total salary of 65 workers = 65 × 5680 = Rs. 369200

Total salary of 31 workers = 31 × 2356 = Rs. 73036

Total salary of 23 workers = 23 × 4589 = Rs. 105547

No. of remaining workers = 65 – 31 – 23 = 65 – 54 = 11

Total Salary of 11 workers = 369200 – 73036 – 105547 = 369200 – 178583 = Rs. 190617

Reqd. average =	190617	= 17329(approx)
	11

Hence, option C is correct.

4

65 श्रमिकों का औसत वेतन 5680 रुपये है जिसमें से 31 श्रमिकों का औसत वेतन 2356 रुपये और 23 श्रमिकों का 4589 रुपये है। शेष श्रमिकों का औसत वेतन क्या है?(मूल्य लगभग)

» Explain it

सही विकल्प : C

Total salary of 65 workers = 65 × 5680 = Rs. 369200

Total salary of 31 workers = 31 × 2356 = Rs. 73036

Total salary of 23 workers = 23 × 4589 = Rs. 105547

No. of remaining workers = 65 – 31 – 23 = 65 – 54 = 11

Total Salary of 11 workers = 369200 – 73036 – 105547 = 369200 – 178583 = Rs. 190617

Reqd. average =	190617	= 17329(approx)
	11

Hence, option C is correct.

5

The average sales of a mobile shopkeeper was 15 mobiles per week, to increase the sales he decided to tie up with a finance company for providing mobiles to customers on installment. After the launch of this scheme his average sales increased to 21 mobile per week. The annual percentage increase in the sales of mobile was:

42	6	%
	7

» Explain it

Correct Option: A

The average rate of percentage increase in both the cases- weekly and yearly will be the same.

Therefore, annual percentage in sales =	21 – 15	× 100
	15

=	600	= 40%
	15

Hence, option A is correct.

5

एक मोबाइल दुकानदार की औसत बिक्री प्रति सप्ताह 15 मोबाइल थी, बिक्री बढ़ाने के लिए उसने ग्राहकों को किस्त पर मोबाइल उपलब्ध कराने के लिए एक वित्त कंपनी के साथ गठजोड़ करने का फैसला किया। इस योजना के शुरू होने के बाद उनकी औसत बिक्री बढ़कर प्रति सप्ताह 21 मोबाइल हो गई। मोबाइल की बिक्री में वार्षिक वृद्धि प्रतिशत थी :

42	6	%
	7

» Explain it

सही विकल्प : A

The average rate of percentage increase in both the cases- weekly and yearly will be the same.

Therefore, annual percentage in sales =	21 – 15	× 100
	15

=	600	= 40%
	15

Hence, option A is correct.

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Average Questions Quiz for SBI PO Pre, IBPS PO Pre, CET, SBI Clerk, IBPS Clerk, 2023

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Average Questions Quiz for SBI PO Pre, IBPS PO Pre, CET, SBI Clerk, IBPS Clerk, 2023

Join Testzone, Smartkeeda’s Test Series Platform for:

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