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**Q1. Out of nine persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was:**

(a) Rs. 260

(b) Rs. 290

(c) Rs. 292.50

(d) Rs. 400.50

**Q2. The mean high temperature of the first four days of a week is 25°C whereas the mean of the last four days is 25.5°C . if the mean of the whole week is 25.2°C then the temperature of the 4th day is:**

(a) 25°C

(b) 25.2°C

(c) 25.6°C

(d) 25.5°C

**Q3. A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is:**

(a) 130

(b) 128

(c) 70

(d) 68

**Q6. The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:**

(a) 65

(b) 95

(c) 105

(d) 115

**Q7. Sachin Tendulkar has a certain average for 11 innings. In the 12th innings he scores 120 runs and thereby increases his average by 5 runs. His new average is:**

(a) 60

(b) 62

(c) 65

(d) 66

**Q8. The batting average for 30 innings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the players is:**

(a) 15

(b) 18

(c) 20

(d) 12

**Q9. Six tables and twelve chairs were bought for Rs. 7,800. If the average price of a table is Rs. 750, then the average price of a chair would be:**

(a) Rs. 250

(b) Rs. 275

(c) Rs. 150

(d) Rs. 175

**Q10. The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of new set of numbers.**

(a) 1128

(b) 938

(c) 316

(d) 216

**Q11. The average of the first nine integral multiples of 3 is**

(a) 21

(b) 12

(c) 15

(d) 18

**Q12. The average of first ten prime numbers is:**

(a) 10.1

(b) 10

(c) 12.9

(d) 13

**Q13. The average of first three numbers is double of the fourth number. If the average of all the four numbers is 12. Find the 4th number.**

(a) 16

(b) 48/7

(c) 20

(d) 18/7

**Q14. Find the average of cubes of first 49 positive integers.**

(a) 30625

(b) 1225

(c) 30125

(d) 6235

**Q15. What is the arithmetic mean of first 20 odd natural numbers:**

(a) 19

(b) 22

(c) 20

(d) 17

**SOLUTIONS**

**S2. Ans. (c)**

**Sol.**I + II + III + IV = 25 × 4

= 100°C

IV + V + VI + VII = 25.5 × 4

= 102° C

total = 202°C

whole week = 25.2 × 7

= 176.4

temperature of 4th day = 202 – 176.4

= 25.6°C

**S3. Ans.(b)**

**Sol.**N × A = T

64 × x = 64x

65 × (x – 2) = 65x – 130

65x – 130 – 64x = 0

x = 130

New average = 130 – 2

= 128

**S4. Ans.(b)**

**Sol.**total = x × y

= xy

Total = y × x

= xy

Average of whole number

= 2xy/(x + y)

**S6. Ans.(b)**

**Sol.**a + b + c = 405

b + c = 405 – 195

b + c = 210

b – c = 20

2b = 230

b = 115

115 + c = 210

c = 95

**S7. Ans.(c)**

**Sol.**

N A T

11 x = 11x

12 x + 5 = 12x + 60

12x + 60 – 11x = 120

x = 60

New average = 65

**S8. Ans.(b)**

**Sol.**total runs = 30 × 40

= 1200

Minimum = x

Maximum = x + 100

New total = 38 × 28 = 1064

= 1200 – 1064

= 136

x + x + 100 = 136

2x = 36

x = 18

**S9. Ans.(b)**

**Sol.**

Price : 6 T + 12 C = 7800

Average of Table = Rs. 750

Total price of table = 750 × 6

= Rs. 4500

Total price of chair

= 7800 – 4500

= Rs. 3300

Average of chairs

= 3300/12 = Rs. 275

**S10. Ans.(d)**

**Sol.**

Average of 8 numbers is = 27

Each no. is multiplied by ‘8’ then average is also multiplied by ‘8’

= 27 × 8 = 216

**S12. Ans.(c)**

**Sol.**first ten prime number is

= (2, 3, 5, 7, 11, 13, 17, 19, 23, 29)

Sum = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29

Sum = 129

Average = 129/10 = 12.9

**S13. Ans.(b)**

**Sol.**Let the four numbers are a, b, c, d

(a+b+c+d)/4=12

a + b + c + d = 48

(a+b+c)/3=2d

a + b + c = 6d

∴ a + b + c + d = 48

6d + d = 48

7d = 48

d = 48/7

**S15. Ans.(c)**

**Sol.**First 20 odd numbers

1, 3, 5, 7, 9, 11, 13……………………39

Arithmetic mean = Average

=(First odd no.+last odd no.)/2

=(1+39)/2 = Average = 20