Explanation:
. Find the factors of 330.
(a)2 x 4 x 5 x 11
(b)2 x 3 x 7 x 13
(c)2 x 3 x 5 x 13
(d)2 x 3 x 5 x 11
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2. Find the factors of 1122.
(a)3 x 9 x 17 x 2
(b)3 x 11 x 17 x 2
(c)9 x 9 x 17 x 2
(d)3 x 11 x 17 x 3
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3. 252 can be expressed as a product of primes as
(a)2 x 2 x 3 x 3 x 7
(b)2 x 2 x 2 x 3 x 7
(c)3 x 3 x 3 x 3 x 7
(d)2 x 3 x 3 x 3 x 7
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4. Which of the following has most number of divisors?
(a)99
(b)101
(c)176
(d)182
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5. A number n is said to be perfect if the sum of all its divisors (excluding n itself) is equal to n. An example of perfect number is
(a)6
(b)9
(c)15
(d)21
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6. 1095/1168 when expressed in simplest form is
(a)13 / 16
(b)15 / 16
(c)17 / 26
(d)25 / 26
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7. Reduce 128352 / 238368 to its lowest terms
(a)3/4
(b)5/13
(c)7/13
(d)9/13
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8. The simplest reduction to the lowest terms of 116,690,151 / 427,863,887 is
(a)3/11
(b)7/11
(c)11/3
(d)None of these
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9. The highest common factor of 0 and 6 is
(a)0
(b)3
(c)6
(d)Undefined
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10. The H.C.F. of 2² x 3³ x 5⁵, 2³ x 3² x 5² x 7 and 2⁴ x 3⁴ x 5 x 7² x 11 is
(a)2² x 3² x 5
(b)2² x 3² x 5 x 7 x 11
(c)2⁴ x 3⁴ x 5⁵
(d)2⁴ x 3⁴ x 5⁵ x 7 x 11
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11. The H.C.F. of 2⁴ x 3² x 5³ x 7, 2³ x 3³ x 5² x 7² and 3 x 5 x 7 x 11 is
(a)105
(b)1155
(c)2310
(d)27720
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12. H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is
(a)180
(b)360
(c)540
(d)1260
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13. Find the highest common factor of 36 and 84.
(a)4
(b)6
(c)12
(d)18
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14. Even numbers are formed by taking at least two at a time from the numbers 0, 4, 8, 9. Their H.C.F. is
(a)2
(b)4
(c)10
(d)None of these
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