QUANTITATIVE APTITUDE

Average — UPSC CSAT Previous Year Questions

Practice UPSC CSAT previous year questions from 2011–2026 classified underAverage. Review the original question, four options, correct answer and explanation for every PYQ.

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Average

10 questions • 2011–2026

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Question 1

UPSC CSAT 2026Correction in Average

The class average x in a test increases by 4 when the score of a student is rectified, whose corrected score is 100 instead of 0. Later, the score of another student was found to have been recorded as 81 in place of 56. If there are no other corrections and the final corrected average is y, then y − x is

View Answer & Explanation+

Correct AnswerC

Explanation

The first correction increases the total by 100 and raises the average by 4, so there are 25 students. The second correction adds 25, raising the average by 1. Therefore y−x=4+1=5. Hence C.

Question 2

UPSC CSAT 2024Basic Average

Consider the following: Weight of 6 boys = Weight of 7 girls = Weight of 3 men = Weight of 4 women. If the average weight of the women is 63 kg, then what is the average weight of the boys?

A40 kg

B42 kg

C45 kg

D63 kg

View Answer & Explanation+

Correct AnswerB

Explanation

Four women weigh 4×63=252 kg. Six boys weigh the same 252 kg, so their average is 252/6=42 kg.

Question 3

UPSC CSAT 2022Combined Average

The average weight of A, B, C is 40 kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F?

A40.5 kg

B40.8 kg

C41 kg

DCannot be determined as data is inadequate

View Answer & Explanation+

Correct AnswerC

Explanation

A+B+C=120 and B+D+E=126. Since F=B, the six-person total is (A+B+C)+(D+E+F)=120+126=246, so the average is 246/6=41 kg.

Question 4

UPSC CSAT 2021Basic Average

There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class B. Consider the following statements: 1. The average score of Class-B will definitely decrease. 2. The average score of Class-A will definitely increase. Which of the above statements is/are correct?

A1 only

B2 only

CBoth 1 and 2

DNeither 1 nor 2

View Answer & Explanation+

Correct AnswerA

Explanation

Every A score is below every B score, so transferring A students lowers B's average. The effect on A's average is not definite.

Question 5

UPSC CSAT 2020Weighted Average

Question visualRefer to the original question visual.

Consider the following data: Average marks in English/Hindi — Girls: 9/8; Boys: 8/7; Overall average in English: 8.8; Overall average in Hindi: X. What is the value of X?

A7.8

B7.6

C7.4

D7.2

View Answer & Explanation+

Correct AnswerA

Explanation

From the English average, girls are 80% of the relevant group because 8.8 = 9g+8b over g+b. Thus the Hindi average is 0.8×8 + 0.2×7 = 7.8.

Question 6

UPSC CSAT 2020Basic Average

The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?

A25 years

B30 years

C35 years

D45 years

View Answer & Explanation+

Correct AnswerC

Explanation

Let student age be x. Teacher age is x+20. Then (x+20+3x)/4=20, giving x=15 and teacher age 35.

Question 7

UPSC CSAT 2020Basic Average

In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?

AIt increases.

BIt decreases.

CIt remains the same.

DNo conclusion can be drawn due to insufficient data.

View Answer & Explanation+

Correct AnswerC

Explanation

Moving students between groups does not change total class weight or total class size, so the class average is unchanged.

Question 8

UPSC CSAT 2020Basic Average

The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?

A122

B91

C62

D49

View Answer & Explanation+

Correct AnswerC

Explanation

Total after 50 innings is 2320; new average is 49, so total after 60 is 2940. The last ten total 620, giving 62.

Question 9

UPSC CSAT 2016Basic Average

The average monthly income of a person in a certain family of 5 is Rs. 10,000. What will be the average monthly income of a person in the same family if the income of one person increased by Rs. 1,20,000 per year?

ARs. 12,000

BRs. 16,000

CRs. 20,000

DRs. 34,000

View Answer & Explanation+

Correct AnswerA

Explanation

Initial family income is 5×10,000=₹50,000 per month. The annual increase of ₹1,20,000 equals ₹10,000 per month, so the new family total is ₹60,000 and the average is ₹12,000.

Question 10

UPSC CSAT 2011Combined Average

A student on her first 3 tests received an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests?

AN + 20

BN + 10

CN + 4

DN + 5

View Answer & Explanation+

Correct AnswerD

Explanation

First three total = 3N. Fourth score = N+20. Total = 4N+20; divide by 4 gives N+5.

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