## 27th SSC CGL Tier II level Question Set, 1st on Average problems

This is the 27th question set of 10 practice problem exercise for SSC CGL Tier II exam and the 1st on Average problems. For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, techniques and deductive reasoning elaborated through the paired solution set, one must solve many problems in a systematic manner using conceptual analytical approach exemplified in the solutions. One can learn well only by practicing learning by doing.

### 27th question set - 10 problems for SSC CGL Tier II exam: 1st on Average problems - time 12 mins

**Problem 1.**

The arithmetic mean of the following numbers, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, and 7, 7, 7, 7, 7, 7, 7 is,

- 5
- 4
- 20
- 44

**Problem 2.**

The mean of 100 items was 46. Later it was found that an item 43 was misread as 34 and a second item 16 was misread as 61. It was also found that the number of items was 90 instead of 100. Then the correct mean must be,

- 52.7
- 50.7
- 50
- 52

**Problem 3.**

In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the students in the school is 11 years and 9 months, then the number of girls in the school is,

- 450
- 350
- 150
- 250

**Problem 4.**

Five players of a team are weighed consecutively and their average weight calculated after each player is weighed. If the average weight increases by 1 kg each time, how much heavier is the last player than the first one?

- 4 kg
- 5 kg
- 20 kg
- 8 kg

**Problem 5.**

A librarian purchased 60 story books for her library. But later she found that she could get 4 extra books by spending Rs.336 more and then the overall average price per book would be reduced by Rs.1. The previous average price per book (in Rs.) was,

- 100
- 84
- 68
- 83

#### Problem 6.

In a team of 10 persons, 9 persons spent Rs.40 each for their meals and the remaining one spent Rs.9 more than the average expenditure of all the 10 persons. The total expenditure for their meals (in Rs.) was,

- 510
- 610
- 410
- 310.

**Problem 7.**

Of the three numbers whose average is 22, the first is, $\displaystyle\frac{3}{8}$th of the sum of the other two. What is the first number?

- 16
- 18
- 20
- 22

**Problem 8.**

The average of three consecutive odd numbers is 52 more than $\displaystyle\frac{1}{3}$rd of the largest one. What is the smallest of the three numbers?

- 81
- 79
- 75
- 77

**Problem 9.**

The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. The average of the remaining two numbers is,

- 4.6
- 4.7
- 4.8
- 4.5

**Problem 10.**

What is the average of all numbers between 100 and 200 which are divisible by 13?

- 143.5
- 149.5
- 147.5
- 145.5

The answers to the questions are given below, and for detailed quick solutions refer to **SSC CGL Tier II level Solution Set 27 Average 1.**

### Answers to the questions

**Problem 1. Answer:** Option a: 5.

**Problem 2. Answer:** Option b: 50.7.

**Problem 3. Answer:** Option c: 150.

**Problem 4. Answer:** Option d: 8 kg.

**Problem 5. Answer:** Option a: 100.

**Problem 6. Answer:** Option c: 410.

**Problem 7. Answer:** Option b: 18.

**Problem 8. Answer:** Option d: 77.

**Problem 9. Answer:** Option a: 4.6.

**Problem 10. Answer:** Option b: 149.5.

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