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180                                                                                                 MATHS

                                                          REVIEW TIME

            A.   1. – 1    2. 4    3. 0    4. 19    6. 9    7. 8 km below sea level    8. No    B. 1. (c)    2. (b)    3. (b)    4. (c)    5. (d)
               6. (b)    7. (c)    8. (c)    9. (a)   C. 1. – 7   2. – 29   3.  331   4. – 2   5. – 116     D. 1. F   2. T
                3. F       4. T       5. F    E. 1. (b)   2. (c)     3. (c)     4. (a)   F. 1. (b)   2. (a)   3. (b)
            G. 1.  Saturn    2. E   3. – 1   4. (a) – 272° C, – 249° C, – 201° C, – 157° C, – 101° C      (b) less than 5
            Integrated Question
            333, 867, 59, –85, –166, –220, –320, –330
            Practice Paper - 1
            1.    (c)      2. (d)     3. (a)    4. (b)    5. (a)     6. 21      7. 1       8. b + 1   9. 4
            10. negative   11. False   12. False   13. True   14. False   15. True   16. b   17. c   18. b
            19.  c       20. c       21. a     22. –190   23. 1, 2, 3, 6  24. 77   25. 77, 90

            26.                      27.  profi t ` 45    28.   –193    29. 20, 40, 60


                                                      Chapter-3 : Prime Time

            Exercise – 3A
            1.  (a) 11, 22, 33, 44, 55    (b) 37, 74, 111, 148, 185    (c) 16, 32, 48, 64, 80    (d) 43, 86, 129, 172, 215    (e) 87, 174, 261, 348, 435
            2.  (a) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60    (b) 1, 5, 17, 85    (c) 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96    (d) 1, 5, 7, 25, 35, 175
               (e) 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276     3. 35, 70     4. (a) 12, 24, 36   (b) 12, 24, 36   (c) 33, 66, 99
            5.  (a) 1, 5    (b) 1, 3, 9    (c) 1, 2    6. 72, 75, 78, 81, 84, 87, 90
            7.  (1, 60) (2, 30), (3, 20), (4, 15), (5, 12), (6, 10), (10, 6), (12, 5), (15, 4), (20, 3), (30, 2), (60, 1)     8. not a perfect number
            Exercise – 3B

            1.  Prime numbers: 29, 31, 37, 41, 43, 47, 53 and 59
               Composite numbers: 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58
            2. 7       3. (a) 67 + 5    (b) 29 + 37    (c) 11 + 29    (d) 23 + 29   4. (a) 41 + 43    (b) 59 + 61    5. (3, 7), (16, 25), (2, 3), (5, 7)
            6.  90, 91, 92, 93, 94, 95, 96    7. No, It will always have 5 as a factor other than 1 and the number itself
            8.  (3, 5), (5, 7), (5, 11), (3, 13), (7, 13)   9. (a) 3 + 29 + 31 = 63    (b) 5 + 43 + 47 = 95    (c) 7 + 19 + 23 = 49
            10.  (a) Not correct, as 2 is even prime number.     (b) Not correct as 1 is neither prime nor composite.
               (c) correct, as multiples and primes are factors of the product.   11. (a) 12. 13 + 31  13. 2 × 2 × 2 × 2 × 2 × 3    14. 12, 24, 36, 48, 60, 72, 84, 96
            15.  (a) False  (b) False   (c) False     16. 21, 24, 25; 22, 23, 25; 21, 22, 27 and many more   17. 45
            Exercise – 3C
            1. (a)       63                      (b)   312            (c)    89         (d)    95

                      3  ×  21                       2   ×   156          1  ×  89          5   ×  19

                3     ×   3  ×   7               2   ×   2   ×  78
                                             2   ×   2   ×   2   ×  39

                                          2   ×   2   ×   2   ×   3   ×  13

            2.  (a) 1000 = 2 × 2 × 2 × 5 × 5 × 5  (b) 234 = 2 × 3 × 3 × 13  (c) 834 = 2 × 3 × 139  (d) 194 = 2 × 97  (e) 377 = 13 × 29   3. 998, 2 × 499
            4.         150                      150                          150                  150

                    2  ×  75              6   ×         25                3  ×  50           5     ×    30

                 2  ×   3  ×  25      2   ×   3   ×   5   ×   5        3  ×   2  ×  25                10  ×   3
             2  ×   3  ×   5  ×    5                               3  ×   2  ×   5  ×    5         2  ×   5
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