Number System – Exercise – 1
1. On dividing 15624 by 41, what is the quotient and the remainder?
2. On dividing 397246 by a certain number, the quotient is 865 and the remainder is 211. Find the divisor.
3. What is the number which on dividing (x + ak) gives ‘a’ as the quotient and x as the remainder?
4. Find the least number, that must be subtracted from 87375, to get a number exactly divisible by 698.
5. What least number must added to 49123 to get a number exactly divisible by 263.
6. Find the greatest number of 3 digits, which is exactly divisible by 35.
7. Find the least number of 3 digits, which is exactly divisible by 14.
8. A number when divided by 602 leaves a remainder 36. What remainder would be obtained by dividing the same number by 14?
9. A number, when divided by 357, leaves a remainder 5. What remainder would be obtained by dividing the same number by 17?
10. Find the binary equivalent of
(i) 30
(ii) 27
(iii) 41
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