Dear maths lovers, Let your practice begins in minuteness but ends in magnificence.It is impossible to study maths properly by just reading and listening. So, practise, practise & more practise. For that, we are providing here Quant Quiz of 15 Questions on Average in accordance with the syllabus of SSC CGL.We have also provided Study Notes and quizzes on all the topics.

**Q1. The average score of Rahul Dravid after 25 innings is 46 runs per innings. If after the 26**

^{th}innings, his average runs increased by 2 runs, then what is his score in the 26^{th}inning?
(a) 98

(b) 50

(c) 58

(d) 60

**Q2. The average of 4 positive number is A and the average of all the possible triplets formed out of these four positive numbers is B. Which of the following is true regarding A and B?**

(a) A = B

(b) A > B

(c) A < B

(d) Cannot be determined

**Q3. Lovely goes to Patna from New Delhi at a speed of 40 km/h and returns with a speed of 60 km/h. What is her average speed during the whole journey?**

(a) 48

(b) 67

(c) 50

(d) 49

**Q4. The average age of the 5 members of a family is 20 years. The youngest member of the family is 4 years old. At the time of his birth, the average age of the rest of the family was N years. What is the average age of the family (in terms of N) excluding the youngest member?**

(a) N+4

(b) N+2

(c) N+3

(d) N+5

**Q5. 10 kg of rice priced at Rs.12 per kg is mixed with 6 kg of rice priced at Rs. 16 per kg. What is the average price of the whole mixture?**

(a) Rs13.5/kg

(b) Rs12.5/kg

(c) Rs17.5/kg

(d) Rs15.5/kg

**Q6. Two varieties of rice are mixed in the ratio 2: 3. The price of the mixture is Rs.12 per kg and the price of the variety having lower weight is Rs.10 per kg. Find the price of the other variety.**

(a) Rs13.33/kg

(b) Rs11/kg

(c) Rs12/kg

(d) Rs16/kg

**Q7. Two different qualities of sugar are mixed in some ratio. The price of one quality of sugar is Rs. 16/kg and that of another quality is Rs. 21/kg. In what ratio have the sugar of two qualities been mixed if the price of the mixture is Rs. 19/kg?**

(a) 2:3

(b) 3:4

(c) 2:5

(d) 2:7

**Q8. Two vessels A and B of equal capacities contain mixtures of milk and water in the ratio 4:1 and 3:1, respectively. 25% of the mixture from A is taken out and added to B. After mixing it thoroughly, an equal amount is taken out from B and added back to A. The ratio of milk to water in vessel A after the second operation is**

(a) 79: 21

(b) 83: 17

(c) 77: 23

(d) 81: 19

**Q9. What is the average of the first 15 multiples of 3?**

(a) 21

(b) 27

(c) 24

(d) 15

**Q10. The average age of 7 members of a family is 25. If one of the members whose age is 28 years, is excluded, then others are in the ratio 1: 2: 3: 4: 5: 6. Find the age of the eldest member of the family.**

(a) 28

(b) 35

(c) 14

(d) 42

**Q11. The average weight of three students is 40 kg. If the first student is twice the second and the second student is thrice the weight of the third student, then what is the weight of the student with the lightest weight?**

(a) 18

(b) 20

(c) 14

(d) None of these

**Q12. In a test, the average marks of five students was found to be 50. However, during cross-checking of the papers, it was discovered that the mark of one student was mis–read as 84 instead of 48. Find the correct average.**

(a) 57.2

(b) 42.8

(c) 46.5

(d) 43.1

**Q13. In a prep school, the average weight of 30 girls in a class of 50 students is 16 kg and that of the remaining students is 15.5 kg. What is the average weight of the all the students in the class?**

(a) 15.2 kg

(b) 15.8 kg

(c) 15.4 kg

(d) None of these

**Q14. The average of the amount of money that 10 girls have is Rs.45. When two more girls join, the average increased by Rs.2. Find the average amount of the two new girls.**

(a) Rs. 57

(b) Rs. 54

(c) Rs. 48

(d) None of these

**Q15. In what ratio must 35% spirit solution be mixed with pure spirit to get a resultant solution of 56% spirit?**

(a) 35: 44

(b) 44: 21

(c) 8: 3

(d) 56: 9

**Solutions**

S1. Ans.(a)

Sol. Since the average increases by 2 runs per innings, we can assume that 2 runs have been added to his score in each of the first 25 innings. Now, the total runs added in these innings have been contributed by the runs scored in the 26

^{th}inning, which must be equal to 25 × 2 = 50 runs.
And after contributing 50 runs, his score in the 26

^{th}inning is 48 runs.
Hence, runs scored in the 26

^{th}inning = new average + old innings × change in average
= 48 + 25 × 2 = 98

S4. Ans.(a)

Sol. Sum of ages of all the members of the family = 100

Sum of ages of all the members of the family excluding the youngest member

= 100 – 4 = 96

So, average age of all the members of the family excluding the youngest member

= 96/4 = 24 = N

What is the average age of the family (in terms of N) excluding the youngest member

= N + 4

S10. Ans.(d)

Sol. According to question,

25 × 7 – 28 = 21x

21x = 147

x = 7

Age of eldest member = 6 × 7 = 42 years

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