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Practice Time                                       Exercise 8.2
                      1.  (a) M = {January, February, March, April, May, June,     1.  (a) True  (b) True  (c) False  (d) False  (e) True
                          July, August, September, October, November,       (f) False  (g) True  (h) False
                          December}                                       2.  18  3. 105  4. 15  5. 5
                        (b) D = {1, 2, 4, 5, 8, 10, 20}                 Exercise 8.3
                        (c) P ={11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}    1.  ` 90  2. 210 m  3. 63 kg  4. 96 litres  5. 21.9 g
                        (d) A = {E, O}      (e) A = {1}                   6.  ` 1,440  7. 90 kg  8. ` 16,020
                        (f) B = {1, 10, 15, 20, 25}
                      2.  (a) A = {x | x is an even natural number}     Mental Maths
                        (b) X = {x | x is a season of the year}           1.  (a) 6; 11  (b) 13; 2  (c) 2; 45 and 9; 10  (d) extreme
                                                                            (e) 5
                                    1
                        (c) B = {x | x =  , n ∈ N, n < 5}                 2.  (a) True  (b) False  (c) True  (d) True
                                    n
                        (d) D = {x | x is one of the first six small alphabets of   Practice Time
                          English}                                        1.  (a) 1 : 7  (b) 1 : 2  (c) 21 : 2  (d) 12 : 55
                      3.  B = {4, 14, 24, 34, 44}; B = {y | y = x + (–6), x ∈ A}    2.  (a) 4 : 1  (b) 3 : 1  (c) 2 : 1  (d) 2 : 7    3. 3 : 7
                      4.  (a) A = {–5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5}; n(A) = 11    4.  3 : 1  5. (a) 15  (b) 28  6. ` 14,000
                        (b) X = {1, 4, 9, 16}; n(X) = 4                   7.  50; 100: 150  8. ` 100; ` 300  9. 99; 132
                        (c) B = {X, M, P, L}; n(B) = 4                    10.  (a) 33  (b) 35  11. 15  12. 36  13. 9 kg
                        (d) D = {2, 3, 5, 7}; n(D) = 4                  14.  700 minutes  15. 10 litres  16. ` 1,15,000  17. Rahul
                        (e) S = {1, 3, 5, 7, 9, 11, 13}; n(S) = 7
                      5.  (a) A = {5, 10, 15, 20, 25,...}               Think Smart
                        (b) B = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}    1.  Moksh as 3 parts > 2 parts.  st
                        (c) X = {–4, –3, –2, –1, 0, 1, 2}                 2.   No, as new ratio = (original 1  quantity + 1) : (original
                                                                            nd
                                                                           2  quantity + 1)
                        (d) Y = {3, 5, 7, 11,...}                         3.  Yes
                        (e) P = {B, E, A, U, T, I, F, L}
                        (f) Q = {S, W, E, T}                                              Chapter 9
                      6.  (a) This method can be selected as we can separate students   Exercise 9.1
                          according to their roll numbers.                1.  (a) 75  (b) 10  (c) 23  (d) 100
                                                                                                 2
                        (b) This method cannot be selected as there is no standard     2.  (a) 40%  (b) 28%  (c) 16  %  (d) 1.8%
                                                                                                 3
                          to decide someone’s intelligence.                  1                  2
                                                                                                7
                                                                             11
                        (c) This method can be selected as we can separate students     3.  9  %   4.  64  %
                          according to their names.                       5.  2,250   6. ` 8,400   7. 900   8. 1,800
                      7.  (a) 35   (b)  5                                 9.  540
                    Think Smart                                         Exercise 9.2
                                                                                                                     2
                      1.   Yes; If set A contains all the elements of finite sets B and     1.  10,500    2. 40%    3. 40 kg    4. 60    5. 4  %
                                                                                                                     27
                       C, then n(A) = n(B) + n(C).                      Mental Maths
                      2.  1            3.  February                       1.  (a) False  (b) True  (c) True  (d) False

                                      Chapter 8                           2.  (a) 50  (b) 200  (c) 50
                    Exercise 8.1                                        Practice Time
                                                                                                    1
                                                                                          2
                                                                                1
                      1.  (a) 3; 7  (b) 13; 21  (c) 17 : 23  (d) 12 : 97    1.  (a) 33  %  (b) 16  %  (c) 11  %  (d) 20%
                                                                                3
                                                                                                    9
                                                                                          3
                      2.  (a) 10 : 9  (b) 3 : 11  (c) 13 : 4  (d) 35 : 2    2.  20%   3. (a) 200  (b) ` 1,250  (c) 66  (d) 587.5 kg
                      3.  (a) 12 : 5  (b) 3 : 2  (c) 5 : 3  (d) 12 : 49    4.  175   5. 450   6. 792
                      4.  1 : 3  5. 2 : 1; 1 : 2  6. (a) 24  (b) 45  7.  24 years    7.  (a) English: 68.75%; Mathematics: 82%; Science: 85%
                      8.  30; 45  9. ` 900; ` 1,100  10. 80 cm; 140 cm; 180 cm      (b) 80 16 %
                                                                                 21
                      11.  18°; 126°; 36°  12. 180 cm                     8.  1,280 or more    9. 182.75 cm
                      13.  (a) 5 : 8 < 7 : 9  (b) 11 : 15 < 13 : 14
                        (c) 7 : 18 = 11 : 36  (d) 16 : 19 < 21 : 23     Think Smart               1
                        (e) 15 : 32 < 9 : 17  (f) 8 : 15 > 7 : 16       1. 25%  2. 84  3. Yes, as 50% =    4. 40%  5. 3,280 words
                                                                                                  2

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