Average For SSC CGL Exam, Practice Questions & Learn Concept

Average For SSC CGL Exam

Average For SSC CGL Exam: Average is a common topic that can be asked in various Government Exams. It is a very simple topic, one can score good marks on this topic if he/she understands the concept and practice the questions related to the topic. The Average for SSC CGL Exam consists of 0-2 questions in the exam an easy to moderate level. Just understanding the concept is not enough candidates need to solve the questions also related to the Average. In the Average for SSC CGL Exam blog, we have provided the basic concept, and questions with explained solutions.

Detailed Concept of Average

The average can be defined as it is the ratio of the sum of all the numbers to the number of values.

It is the middle value of the provided data set. It is denoted by ‘x̄’ or ‘μ’.

The basic formula for the Average of n number:

Average = (x₁ + x₂ + …….. + x_n)/n

Questions on Average with Solutions

Here we have provided the questions on Average for SSC CGL Exam by analyzing the previous year’s question papers along with the answers.

Average Questions in the English Language

Question 1: The average of 12 numbers is 30. The average of first 7 numbers is 24 and that of the last 4 numbers is 36. What is the 8^th number?

A) 40

B) 36

C) 56

D) 48

Question 2: Average weight of 25 students of a class is 50 kg. If the weight of the class teacher is included, the average is increased by 1 kg. Find the weight of the teacher in the class.

A) 64 kg

B) 76 kg

C) 72 kg

D) 70 kg

Question 3: A librarian purchased 50 storybooks for his library. But he saw that he could get 14 more books by spending Rs. 76 more and the average price per book would be reduced by Re. 1. The average price of each book he bought was:

A) Rs. 25

B) Rs. 15

C) Rs. 10

D) Rs. 20

Question 4: The average of 25 numbers is 24. If three numbers which are 27, 48 and 65 are omitted and three numbers 75, 32 and 43 is added then the new average will be equal to:

A) 24.24

B) 26.42

C) 24.76

D) 24.40

Question 5: Average weight of 30 persons is increased by 1 kg when one person weighing 75 kg is replaced by a new person. Find the weight of the new person.

A) 95 kg

B) 105 kg

C) 80 kg

D) 115 kg

Question 6: The average age of 25 boys is 24 years. If the age of two boys was mistakenly added as 18 and 24 in place of 12 and 20, then find the correct average age of the 25 boys.

A) 20.8 years

B) 25.2 years

C) 22.4 years

D) 23.6 years

Question 7: Average runs scored by a batsman in 21 innings is ‘x’. He scored 87 runs in his next inning such that his batting average increases by 1.5 runs. Find total runs scored by him till 22 innings.

A) 1221

B) 1235

C) 1249

D) 1256

Question 8: The average of 80 numbers is found to be 35. Later it was found that 75 was read as 55 and 85 was read as 45 and the total numbers are 65 not 80. Find the correct average.

A) 32

B) 38

C) 44

D) 40

Question 9: Four numbers are such that when average of any of the three numbers is added with the remaining fourth number, the numbers obtained are 348, 380, 420 and 364 respectively find the largest number among them.

A) 192

B) 252

C) 168

D) 144

Question 10: a, b, c, d, e, f and g are consecutive even numbers; j, k, l, m and, n are consecutive odd numbers. The average of all the numbers is.

A) 3(a + n)/2

B) (1 + d)/2

C) (a + b + m + n)/2

D) (7d + 5l)/12

Average Questions in the Hindi Language

प्रश्न 1: 12 संख्याओं का औसत 30 है। पहले 7 संख्याओं का औसत 24 है और अंतिम 4 संख्याओं का 36 है। आठवीं संख्या क्या है?

A) 40

B) 36

C) 56

D) 48

प्रश्न 2: एक कक्षा के 25 छात्रों का औसत वजन 50kg है। यदि कक्षा शिक्षक के वजन को शामिल किया जाता है, तो औसत 1kg बढ़ जाता है। कक्षा में शिक्षक का वजन ज्ञात करें?

A) 64 kg

B) 76 kg

C) 72 kg

D) 70 kg

प्रश्न 3: एक लाइब्रेरियन ने अपनी लाइब्रेरी के लिए 50 कहानी की किताबें खरीदी।लेकिन उसने देखा कि वह Rs. 76 अधिक खर्च करके 14 और किताबें प्राप्त कर सकता है और प्रति पुस्तक औसत मूल्य Re. 1 से कम हो जाएगा।उनके द्वारा खरीदी गई प्रत्येक किताब का औसत मूल्य था:

A) Rs. 25

B) Rs. 15

C) Rs. 10

D) Rs. 20

प्रश्न 4: 25 संख्याओं का औसत 24 है।यदि तीन संख्याएँ जो 27, 48 और 65 हैं, उन्हें हटा दिया जाता है और तीन संख्याएँ 75, 32 और 43 जोड़ दी जाती हैं तो नया औसत होगा:

A) 24.24

B) 26.42

C) 24.76

D) 24.40

प्रश्न 5: 30 व्यक्तियों का औसत वज़न 1 kg से बढ़ जाता है जब 75kg वाले एक व्यक्ति को नए व्यक्ति से प्रतिस्थापित किया जाता है|नए व्यक्ति का वज़न ज्ञात करें|

A) 95 kg

B) 105 kg

C) 80 kg

D) 115 kg

प्रश्न 6: 25 लड़कों की औसत आयु 24 वर्ष है।यदि दो लड़कों की आयु को गलती से 12 और 20 के स्थान पर 18 और 24 के रूप में जोड़ दी गई थी, तो 25 लड़कों की सही औसत आयु ज्ञात करें|

A) 20.8 years

B) 25.2 years

C) 22.4 years

D) 23.6 years

प्रश्न 7: एक बल्लेबाज द्वारा 21 पारियों में बनाए गए औसत रन ‘x’ हैं। उसने अपनी अगली पारी में 87 रन बनाए जिससे उसकी बल्लेबाजी औसत 1.5 रन बढ़ गई। 22 पारियों तक उसके द्वारा बनाए गए कुल रन ज्ञात करें?

A) 1221

B) 1235

C) 1249

D) 1256

प्रश्न 8: 80 संख्या का औसत 35 है|बाद में यह पाया गया कि 75 को 55 पढ़ा गया और 85 को 45 पढ़ा गया और कुल संख्या 65 था ना कि 80|सही औसत ज्ञात करें|

A) 32

B) 38

C) 44

D) 40

प्रश्न 9: चार संख्याएं इस तरह हैं कि जब किसी तीन संख्याओं के औसत को शेष चौथे संख्या में जोड़ा जाता है तो प्राप्त संख्या क्रमशः 348, 380, 420 और 364 है|इन सभी में सबसे बड़ी संख्या ज्ञात करें|

A) 192

B) 252

C) 168

D) 144

प्रश्न 10: a, b, c, d, e, f और g लगातार सम संख्याएं हैं; j, k, l, m और, n लगातार विषम संख्याएँ हैं। सभी संख्याओं का औसत है-

A) 3(a + n)/2

B) (1 + d)/2

C) (a + b + m + n)/2

D) (7d + 5l)/12

ANSWER KEYS and SOLUTIONS:

Solutions to the Above Questions with Solutions

Solution 1: 4)

Sum of 12 numbers = 12 × 30 = 360

Sum of first 7 numbers = 7 × 24 = 168

Sum of last 4 numbers = 4 × 36 = 144

8^th number = 360 – 168 – 144 = 48

Hence, option d.

Solution 2: 2)

Total weight of 25 students = 25 × 50 = 1250 kg

Total weight of 25 students and class teacher together = 26 × 51 = 1326 kg

Weight of the teacher = 1326 – 1250 = 76 kg

Hence, option b.

Solution 3: 3)

Let average price of each storybook bought was Rs. x

Total price of 50 storybooks = Rs. 50x

According to question;

(50x + 76)/(50 + 14) = (x – 1)

50x + 76 = 64x – 64

14x = 140

x = 10

Hence, option c.

Solution 4: 4)

New average = {(25 × 24) – 27 – 48 – 65 + 75 + 32 + 43}/25 = 24.4

Hence, option d.

Solution 5: 2)

Let the average age of each person before replacement be ‘x’ kg

Sum of the ages of 30 persons before replacement = 30x

Sum of the ages of 30 persons after replacement = 30(x + 1)

Let the weight of the new person be ‘y’ kg

According to the question,

30x – 75 + y = 30(x + 1)

Or, y = 30 + 75

Or, y = 105 kg

Hence, option b.

Solution 6: 4)

Correct sum of the ages of 25 boys = (25 × 24) – 18 – 24 + 12 + 20 = 590 years

Required average = 590/25 = 23.6 years

Hence, option d.

Solution 7: 1)

According to question: 21x + 87 = 22 × (x + 1.5)

x = 87 – 33

x = 54

So total runs scored till 22 innings = 55.5 × 22 = 1221

Hence, option a.

Solution 8: 3)

Required average = {(80 × 35) – 55 – 45 + 75 + 85}/65 = 44

Hence, option c.

Solution 9: 2)

Let the four numbers be A, B, C and D respectively.

According to question;

3A + B + C + D = 3 × 348 = 1044 —(1)

3B + C + D + A = 3 × 380 = 1140 —–(2)

3C + D + A + B = 3 × 420 = 1260 ——(3)

3D + A + B + C = 3 × 364 = 1092 ——(4)

Adding (1), (2), (3) and (4), we get

6 × (A + B + C + D) = 4536

A + B + C + D = 756

So, we get A = 144, B = 192, C = 252 and D = 168

Hence, option b.

Solution 10: 4)

The average of a, b, c, d, e, f, g is ‘d’.

And, the average of j, k, l, m, n is ‘l’.

Required average = (7d + 5l)/12

Hence, option d.

Average For SSC CGL Exam FAQs

• Sign Up on Practicemock for Updated Current Affairs, Free Topic Tests and Free Mini Mocks
• Sign Up Here to Download Free Study Material