NCERT-Class-10-Mathematics-Exemplar-Problems

ANSWERS 199

10. Marks Number of students

0-10 10
10-20 40
20-30 80
30-40 140
40-50 170
50-60 130
60-70 100
70-80 70
80-90 40
90-100 20

11. Marks Number of candidates

0-10 2
10-20 2

20-30 3
30-40 4

40-50 6
50-60 6
60-70 5
70-80 2
80-90 4

12. a = 12, b = 13, c = 35, d = 8, e = 5, f = 50

200 EXEMPLAR PROBLEMS

13. (i) Less than type (ii) More than type

Ages (in years) Number of Ages (in years) Number of
students students

Less than 10 0 More than or equal to 10 300

Less than 20 60 More than or equal to 20 240

Less than 30 102 More than or equal to 30 198

Less than 40 157 More than or equal to 40 143

Less than 50 227 More than or equal to 50 73

Less than 60 280 More than or equal to 60 60

Less than 70 300

14. Marks Number of students

0-20 17
20-40 5
40-60 7
60-80 8
80-100 13

15. Rs 1263.15 16. 109.17 km/h 17. Rs 11875
18. 201.7 kg 15 15

19. (i) 6 (ii) 6 20. (i) 6 (ii) 12 (iii) 0

1 1 (iii) 0 4
21. (i) 9 (ii) 9 22. 9

23. P (2) = 1 , P (3) = 1 , P (4) = 1 , P (5) = 1 , P (6) = 1 , P (7) = 1 , P (8)= 1 P (9) = 1
18 9 6 6669 18

3 11 2
24. 4 25. (i) 8 (ii) 2 26. 9

5 7 17
27. (i) 11 (ii) 22 (iii) 22

ANSWERS 201

13 3 10 1
28. (i) 49 (ii) 49 29. (i) 49 (ii) 49

1 3 3
30. (i) 10 (ii) 10 (iii) 5

14 85 1 9
31. (i) 99 (ii) 99 32. (i) 2 (ii) 100

21 34. 0.69 11
33. 26 35. 75

35
36. P (not defective) = 4 , P (2nd bulb defective) = 23

4 5 1 5
37. (i) 9 (ii) 9 (iii) 3 (iv) 18

1 1 3
38. (i) 8 (ii) 8 (iii) 4

39. (i) 5 scores (0, 1, 2, 6, 7, 12) 1
(ii) 3

7 15 5 1
40. (i) 8 (ii) 16 41. (i) 6 (ii) 3

42. (i) 0.009 8
(ii) 999

[Hint : (ii) After first player has won the prize the number of perfect squares
greater than 500 will be reduced by 1]

202 EXEMPLAR PROBLEMS

EXERCISE 13.4

1. 51.75 2. 48.41 3. 31 years 4. 201.96 g

7. Median salary = Rs 13420, Modal salary = Rs 12730

8. f = 28, f = 24 9. p = 5, q = 7
12

11. Median = 17.81 hectares, Mode = 17.76 hectares

12. Median rainfall = 21.25 cm

13. average = 170.3 sec.

14. (i) Distance (in m) No. of students Cummulative frequency

0-20 6 6
20-40 11 17
40-60 17 34
60-80 12 46
80-100 4 50

(iii) 49.41 m.