Average Questions for Bank Exams in Both English & Hindi

Average is a yet another important quant concept and here we are giving Average Questions for Bank Exams in Both English & Hindi. This will be helpful in the upcoming RBI Assistant prelims examination. Let’s check out the explanation of the topic below along with practice questions in both Hindi & English.

Averages:

Simple Average:

Average of a set = {(Sum of all observations in the set) ÷ (Number of observations in the set)}.

Weighted Average:

If the values, ‘x₁’, ‘x₂’ ……… ‘x_n’ are assigned weights ‘w₁’, ‘w₂’ …………., ‘w_n’, respectively, then

Weighted average = {(w₁ x₁ + w₂x₂ + …………… + w_nx_n)/(w₁ + w₂ + ……….. + w_n)}

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Average Questions for Bank Exams in Both English & Hindi

Question 1: The average marks of a class of 65 students are 56. If the average marks obtained by passed students and failed students is 126 and 35 respectively, then find the number of failed students.

A) 20

B) 35

C) 50

D) 75

E) None of these

Question 2: Average age of a family of 6 persons four years ago was ‘x’ years. A baby is born in between these years. Now the average age of the family is same as it was four years ago. If the present age of baby is 2 years, then find the average age of the family after 3 years.

A) 20 years

B) 23 years

C) 26 years

D) 30 years

E) None of these

Question 3: Average of six two-digit numbers is increased by 3, when the digits of one of the numbers are interchanged. Find the original number, if the sum of the digits of the interchanged number is 6.

A) 24

B) 36

C) 42

D) 63

E) Cannot be determined

Question 4: The average weight of 28 employees in an office is 52 kg. If two new employees whose weights are‘x’ kg and (x + 4) kg, then average weight becomes 52.4 kg. Find the average of the weight of two new employees.

A) 60 kg

B) 68 kg

C) 62 kg

D) 56 kg

E) None of these

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Question 5: The average weight of wheat purchased by 19 people is 15 kg. 4 people who bought 22 kg, 34 kg and 14 kg and 50 kg of wheat returned it to the seller. Find the new average weight of wheat sold by the seller.

A) 12 kg

B) 10 kg

C) 15 kg

D) 9 kg

E) 11 kg

Question 6: The average runs scored by Rohit in 5 innings is 80. The average of his highest and lowest score in these 5 innings is 87. In one of the rest innings, he scored 2 runs more than his lowest score and in another he scored 46 runs less than his highest score. If in one of the remaining inning he scored 96 runs. Find the highest run scored by Rohit.

A) 152

B) 108

C) 136

D) 124

E) Cannot be determined

Question 7: The average of three even numbers which are in an arithmetic progression is 18. The average of these even numbers along with three odd numbers which are also in an arithmetic progression having a common difference 6 is 25.5. The middle odd number is 50% more than the highest even number. Find the lowest even number.

A) 20

B) 24

C) 18

D) 14

E) Can’t be determined

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Question 8: The average selling price of apples is Rs. 4 (per kg) more than the average selling price of the oranges. The quantity of oranges sold is 20% more than that of the quantity of apples sold. The fruit seller got a total of Rs. 1350 and Rs. 1500 for selling the total quantities of apples and oranges respectively. Find the total quantity of apples sold.

A) 15 kg

B) 40 kg

C) 30 kg

D) 25 kg

E) 20 kg

Question 9: The average number of boys in three classes is 8 more than the average number of girls in the same three classes. The total number of girls in all the three classes is 192. If the number of boys in one class is 25% more than that in other and the number of boys in the remaining class is 27, then find the highest number of boys in a class.

A) 84

B) 91

C) 105

D) 121

E) 75

Question 10: If the average marks of 40, 60 and 50 students of three different classes is 30, 40 and 60, respectively then find the average marks of all the students of three classes.

A) 43 marks

B) 44 marks

C) 45 marks

D) 46 marks

E) None of these

प्रश्न 1: 65 छात्रों की एक कक्षा के औसत अंक 56 हैं। यदि उत्तीर्ण छात्रों और अनुत्तीर्ण छात्रों द्वारा प्राप्त औसत अंक क्रमशः 126 और 35 हैं, तो अनुत्तीर्ण छात्रों की संख्या ज्ञात करें ?

A) 20

B) 35

C) 50

D) 75

E) इनमें से कोई नहीं

प्रश्न 2: चार वर्ष पहले 6 व्यक्तियों के परिवार की औसत आयु ‘x’ वर्ष थी। इन वर्षों के बीच एक शिशु का जन्म होता है। अब परिवार की औसत आयु वही है जो चार वर्ष पहले थी। यदि शिशु की वर्तमान आयु 2 वर्ष है, तो 3 वर्ष के बाद परिवार की औसत आयु ज्ञात करें ?

A) 20 years

B) 23 years

C) 26 years

D) 30 years

E) इनमें से कोई नहीं

प्रश्न 3: छह दो-अंकीय संख्या का औसत 3 से बढ़ जाता है, जब संख्याओं में से एक के अंकों को बदल दिया जाता है|वास्तविक संख्या ज्ञात करें, यदि बदले गए संख्या के अंको का योग 6 है|

A) 24

B) 36

C) 42

D) 63

E) Cannot be determined

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प्रश्न 4: एक कार्यालय में 28 कर्मचारियों का औसत वजन 52 kg है। यदि दो नए कर्मचारी जिनका वजन ‘x’ kg और (x + 4) kg, है, तो औसत वजन 52.4 kg हो जाता है। दो नए कर्मचारियों के वजन का औसत ज्ञात करें?

A) 60 kg

B) 68 kg

C) 62 kg

D) 56 kg

E) इनमें से कोई नहीं

प्रश्न 5: 19 व्यक्तियों द्वारा खरीदे गए गेहूं का औसत वजन 15 kg है। 22 kg, 34 kg और 14 kg और 50 kg गेहूं खरीदने वाले 4 व्यक्तियों ने इसे विक्रेता को लौटा दिया। विक्रेता द्वारा बेचे गए गेहूं का नया औसत वजन ज्ञात करें?

A) 12 kg

B) 10 kg

C) 15 kg

D) 9 kg

E) 11 kg

प्रश्न 6: Rohit द्वारा 5 पारियों में बनाए गए औसत रन 80 हैं। इन 5 पारियों में उसका उच्चतम और न्यूनतम स्कोर का औसत 87 है। बाकि पारियों में से एक में, उसने अपने न्यूनतम स्कोर से 2 रन अधिक बनाए और दूसरे में अपने उच्चतम स्कोर से उसने 46 रन कम बनाए। यदि एक शेष पारी में उसने 96 रन बनाए। Rohit द्वारा बनाए गए सर्वाधिक रन ज्ञात करें?

A) 152

B) 108

C) 136

D) 124

E) निर्धारित नहीं किया जा सकता

प्रश्न 7: तीन सम संख्याओं का औसत जो एक अंकगणितीय प्रगति में है, 18 है। इन सम संख्याओं के साथ तीन विषम संख्या का औसत जो समान अंतर 6 के साथ अंकगणितीय प्रगति में है , 25.5 है। मध्य विषम संख्या उच्चतम सम संख्या से 50% अधिक है। न्यूनतम सम संख्या ज्ञात करें?

A) 20

B) 24

C) 18

D) 14

E) निर्धारित नहीं किया जा सकता

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प्रश्न 8: सेब की औसत विक्रय मूल्य संतरे की औसत विक्रय मूल्य से Rs. 4 (per kg) अधिक है।बेचे गए संतरे की मात्रा बेचे गए सेब की मात्रा से 20% अधिक है।फल विक्रेता को सेब और संतरे की कुल मात्रा को बेचने पर कुल Rs. 1350 और Rs. 1500 प्राप्त होते है।बेचे गये सेब की कुल मात्रा ज्ञात करें?

A) 15 kg

B) 40 kg

C) 30 kg

D) 25 kg

E) 20 kg

प्रश्न 9: तीन वर्गों में लड़कों की औसत संख्या समान तीन वर्गों की लड़कियों की औसत संख्या से 8 अधिक है।तीनों वर्गों में लड़कियों की कुल संख्या 192 है।यदि एक वर्ग के लड़कों की संख्या अन्य वर्ग की तुलना में 25% अधिक है और शेष वर्ग में लड़कों की संख्या 27 है, तो एक वर्ग में लड़कों की सबसे अधिक संख्या ज्ञात करें?

A) 84

B) 91

C) 105

D) 121

E) 75

प्रश्न 10: यदि तीन अलग-अलग कक्षाओं के 40, 60 और 50 छात्रों के औसत अंक क्रमशः 30, 40 और 60 हैं, तो तीन कक्षाओं के सभी छात्रों के औसत अंक ज्ञात करें?

A) 43 marks

B) 44 marks

C) 45 marks

D) 46 marks

E) इनमें से कोई नहीं

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ANSWER KEYS and SOLUTIONS:

Solution 1: C)

Let, number of passed students be x,

So, number of failed students = (65 – x)

According to question,

126x + (65 – x) × 35 = 56 × 65

126x + 2275 – 35x = 3640

91x = 1365

x = 15

So, number of failed students = (65 – 15) = 50

Hence, option c.

Solution 2: E)

Sum of the ages of the 6 family members 4 years ago = 6x years

Sum of the ages of the 7 family members at present = 7x years

So according to question: (x + 4) × 6 + 2 = 7x

6x + 24 + 2 = 7x

x = 26

So, the average age of the family after three years = 26 + 3 = 29 years

Hence, option e.

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Solution 3: A)

Let the ones place and tens place of original number be‘x’ and ‘y’, respectively.

So, the original number = 10 × y + x = 10y + x

If the digits are interchanged then the number = 10 × x + y = 10x + y

Let the average of the numbers be ‘a’

So according to the question: 6a + 10x + y – (10y + x) = 6 × (a+3)

6a + 9x – 9y = 6a + 18

9x – 9y = 18

x – y = 2

x = 2 + y ………………(i)

Also, given that the sum of the digits = x + y = 6

2 + y + y = 6 (using (i))

y = 2

And x = 2 + 2 = 4

So, the original number = 10 × 2 + 4 = 24

Hence, option a.

Solution 4: E)

According to the question,

52 × 28 + x + x + 4 = 52.4 ×30

1456 + 2x + 4 = 1572

2x = 112

x = 56

Required average = (56 + 60)/2 = 58 kg

Hence, option e.

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Solution 5: E)

Required average = {19 × 15 – (22 + 34 + 14 + 50)}/15 = 165/15 = 11 kg

Hence, option e.

Solution 6: E)

Total runs scored in 5 innings by Rohit = 80 × 5 = 400

Let the highest and lowest run scored by Rohit be ‘x’ and ‘y’ respectively

Therefore,

(x + y) = 87 × 2

Or, x + y = 174….. (1)

Also, (y + 2 + x – 46 + 96) = 400 – 174

Or, x + y = 174…… (2)

Therefore, highest run scored by Rohit cannot be determined.

Hence, option e.

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Solution 7: D)

Sum of all the even numbers = 18 × 3 = 54

Let the three odd numbers be x, (x + 6) and (x + 12)

According to the question,

{54 + x + (x + 6) + (x + 12)} = 25.5 × 6

Or, 3x = 153 – 72

Or, x = 27

Therefore, 2^nd odd number = (x + 6) = 33

Highest even number = 33/1.5 = 22

Middle even number = 18

Difference between the two even numbers = 22 – 18 = 4

Therefore, lowest even number = 18 – 4 = 14.

Hence, option d.

Solution 8: D)

Let the quantity of apples sold be x kg

Therefore, quantity of orange sold = 1.2x kg

According to the question,

1350/x – 1500/1.2x = 4

Or, 1350 – 1250 = 4x

Or, x = 100/4

Or, x = 25 kg

Hence, option d.

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Solution 9: C)

Average number of boys = (192/3) + 8 = 72

Let the number of boys in one of the class be ‘x’

Therefore, number of boys in other class = 1.25x

Therefore,

1.25x + x = (72 × 3) – 27

Or, x = 189/2.25 = 84

Highest number of boys = 1.25x = 105

Hence, option c.

Solution 10: B)

Required average = (30 × 40 + 40 × 60 + 60 × 50)/(40 + 60 + 50)

= 6600/150 = 44 marks

Hence, option b.

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This brings us to the end of the article. Make sure that you practice these average questions in both hindi and english along with their answers and detailed solution.

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