# Average Questions of Math for SSC CGL Tier 1 and Tier 2

Average Questions of Math for SSC CGL Tier 1 and Tier 2

**Q1.** **A company produces an average of 4000 items per month for the first 3 months. How much items, it much produce on an average per month over the next 9 months to average 4375 items per month over the whole year?**

(a) 4500

(b) 4600

(c) 4680

(d) 4710

**Q2.** **Of the three numbers whose average is 60, the first is one fourth of the sum of the others. The first number is:**

(a) 30

(b) 36

(c) 42

(d) 45

**Q3.** **The average of 11 numbers is 10.8. If the average of the first six be 10.4 and that of the last six is 11.5. Then the middle (6th) number is:**

(a) 10.3

(b) 12.6

(c) 13.5

(d) 15.5

**Q4.** **A cricketer whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs and thereby decreases his average by 0.85. The number of wickets taken by him till the last match was**

(a) 64

(b) 72

(c) 80

(d) 96

**Q5.** **The average age of 14 girls and their teacher’s age is 15 years. If the teacher’s age is excluded the average reduces by 1. What is the teacher’s age?**

(a) 35 years

(b) 32 years

(c) 30 years

(d) 29 years

**Q6.**

**The average weight of 20 students in a class is increased by 0.75 kg when one of the students weighing 30 kg is replaced by a new student. Weight of the new student (in kg) is:**

(a) 35

(b) 40

(c) 45

(d) 50

**Q7.** **The average monthly income of A and B is Rs 14000, that of B and C is Rs 15600 and A and C is Rs 14400. The monthly income of C is**

(a) Rs 16000

(b) Rs 15000

(c) Rs 14000

(d) Rs 15500

**Q8.** **The average of a collection of 20 measurements was calculated to be 56 cm. But later it was found that a mistake had occurred in one of the measurements which was recorded as 64 cm. But should have been 61 cm. The correct average must be**

(a) 53 cm

(b) 54.5 cm

(c) 55.85 cm

(d) 56.15 cm

**Q9.** **The average of 8 numbers is 20. The average of first two numbers is 151/2 and that of the next three is 211/3 . If the sixth number be less than the seventh and eighth numbers by 4 and 7 respectively, then the eights number is:**

(a) 18

(b) 22

(c) 25

(d) 27

**Q10.** **In a family of 8 adults and some minors, the average consumption of rice per head per month is 10.8 kg, while the average consumption for adults is 15 kg per head. The number of minors in the family is:**

(a) 8

(b) 6

(c) 7

(d) 9

**Q11.** **The average daily wages of some workers of a factory is Rs 92. There are 300 male and 200 female workers working in the factory. Each female worker receives Rs 20 less than a male worker. The daily wages of a male worker is**

(a) Rs 80

(b) Rs 96

(c) Rs 100

(d) Rs 120

**Q12**. **There were 35 students in a hostel. If the number of students is increased by 7 the expenditure on food increases by Rs 42 per day while the average expenditure of students is reduced by Rs 1. What was the initial expenditure on food per day?**

(a) Rs 400

(b) Rs 432

(c) Rs 442

(d) Rs 420

**Q13.** **The average of 5 consecutive natural numbers is m. If the next three natural numbers are also included, how much more than m will the average of these 8 numbers be?**

(a) 2

(b) 1

(c) 1.4

(d) 1.5

**Q14**. **The average score of a class of boys and girls in an examination is A. The ratio of boys and girls in the class is 3: 1. If the average score of the boys is A+ 1, the average score of the girls is**

(a) A+1

(b) A-1

(c) A+3

(d) A-3

**Q15.** **The bowling average of a cricketer was 12.4. he improves his bowling average by 0.2 points when he takes 5 wickets for 26 runs in his last match. The number of wickets taken by him before the last match was**

(a) 125

(b) 150

(c) 175

(d) 200

**Q16.** **A cricketer has certain average of runs for his 8 innings, he scores 100 runs, thereby increases his average by 9 runs. His new average of runs is**

(a) 20

(b) 24

(c) 28

(d) 32

**Q17.** **In an examination, the average of marks was found to be 50. For deducting marks for computational errors, the marks of 100 candidates had to be changed from 90 to 60 each and so the average of marks came down to 45. The total number of candidates, who appeared at the examination, was**

(a) 600

(b) 300

(c) 200

(d) 150

**Q18.** **a, b, c, d, e, f, g are consecutive even numbers. j, k, l, m, n are consecutive odd numbers. The average of all the numbers is**

(a) 3 ((a+n)/2)

(b) 3((l+d)/2)

(c) ((a+b+m+n)/4)

(d) (j+c+n+g)/4

**Q19.** **The average of n numbers x1, x2, ……xn is x ̅. Then the value of ∑ ^{n}_{_(i=1)}〖〖 (x〗_i- x ̅ 〗) is equal to**

(a) n

(b) 0

(c) n x ̅

(d) x ̅

**Q20.** **B was born when A was 4 years 7 months old and C was born when B was 3 years 4 months old. When C was 5 years 2 months old, then their average age was**

(a) 8 years 9 months

(b) 7 years 3 months

(c) 8 years 7 months

(d) 8 years 11 months

**Q21**. **In the afternoon, a student read 100 pages per hour. What was her average rate of reading, in pages per hour?**

(a) 60

(b) 70

(c) 48

(d) 50

**Q22.** **Ram aims to score an average half yearly exam. But his average in quarterly is 3 marks less than his target and that in half yearly is 2 marks more between the total marks scored in both the exams is 25. Total marks aimed by Ram are:**

(a) 400

(b) 410

(c) 420

(d) 380

**Q23.** **In an exam, the average marks obtained by the students was found to be 60. After omission of computational errors, the average marks of some 100 candidates had to be changed from 60 to 30 and the average with respect to all the examinees came down to 45 marks. The total number of candidates who took the exam was**

(a) 200

(b) 210

(c) 240

(d) 180

**Q24.** **If the average of x and 1/x (x≠0) is M, then the average of x^2 and 1/x^2 is**

(a) 1- M^{2}

(b) 1- 2 M

(c) 2 M^{2}– 1

(d) 2 M^{2}+1

**Answer key**

1 a

2.b

3b

4 c

5 d

6 c

7 a

8 c

9 c

10 c

11 c

12 d

13 d

14 d

15 c

16 c

17 a

18 b

19 b

20 d

21 c

22 a

23 a

24 c

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Thank you mam for your post, it is really very helpful. Mam please post questions for Geometry , Trigonometry, and Algebra

Thanks for the excellent post. Please correct numbering. I am not getting any solution for Ques No. 9, 10, 15, 18, 19, 20, 21 and 22. Kindly provide brief solution.

Thanks,

Navin

Plz provide solutions for 10 and 12 questions

12 solution:::let the initial average expenditure of student is ‘X’,

For 35 students =35*X

The number students increased by 7 ,now the number of students are 42 , the expenditure decreased by 1 so, for 42 students =42*(X-1). expenditure on food increases by Rs 42 per day . so the equations is

42*(X-1)-35*X=42

by solving we get the X value is 12 (x=let the initial average expenditure of student )

For 35 students (the initial expenditure on food per day) is

35*12=420

Plz provide solution for ques 4

Hello sir,

i will appear for ssc cgl in 2016

Can u please guide me that how to prepare for maths

n plz help me to make a strong strategy for maths

i will be highly obliged of u

Please someone explain the 9th ques..

I think there is some mistake there.

Ji can u solve 4

qus number 9 is such a bullshit.please provide correct answers.

May you give solution with short cut of questions no 15

Que. number 9 is wrong!

question no 10 solve it plzzz

Yup its wrong

plz provide solution of Q9 to Q12

plzz…

[email protected]

plz provide solution of Q9 to Q12

plzz..

[email protected]

question no 10 is also wrong.data insufficient

Plz provide solution of Q10 and Q18

Let, no.of minors. =x

So total no.of persons=8+x

15×[8+x]=10.5×[8+x]

=7

SOLUTION FOR THIS QUESTIONS

Mayuri its just a typing mistake in Q9.

instead of 151/2………it is actually 15 1/2 i.e 31/2

similarly its 21 1/3 instead of 211/3.

answer is correct.

15×[8+x]=10.5×[8+x]

this equation is wrong.

correct question is :

In a family of 8 adults and some minors, the average consumption of rice per head per month is 10.8 kg: while the average consumption for adults is 15 kg per head and for minors it is 6 kg per head. The number of minors in the family is

correct question is :

In a family of 8 adults and some minors, the average consumption of rice per head per month is 10.8 kg: while the average consumption for adults is 15 kg per head and for minors it is 6 kg per head. The number of minors in the family is…

provide solution of Q18…

there are so many typing mistakes.

Q21 is also wrong