Exercise 7C
Question 1
Put a (✔) for divisible and a (⤬) for not divisible.
| Numbers | Divisible by | ||||||||
| 2 | 3 | 4 | 5 | 6 | 8 | 9 | 10 | 11 | |
| 146 | |||||||||
| 654 | |||||||||
| 885 | |||||||||
| 6600 | |||||||||
| 7335 | |||||||||
| 14560 | |||||||||
| 110110 | |||||||||
| 10824 | |||||||||
Question 2
2. Check the divisibility of
(i) 42984 by 2,3,4,5,6,8 and 9
(ii) 320408 by 2,3,4,6,8 and 11
(iii) 14460 by 12 and 15
(iv) 58375 and 12305 by 25
(v) 10802 by 22
(vi) 52110 by 45
Question 3
Replace the star (*) by the smallest number, so that
(i) 29479*8 is divisible by 11 .
(ii) 871*45 is divisible by 9 .
(iii) 534*0 by 18
Question 4
4. Answer ' T ' for True or 'F' for False.
(i) If the sum of the digits of a number is divisible by 3 , then the number itself is divisible by 9 .
(ii) All numbers which are divisible by 4 may not be divisible by 8 .
(iii) If a number exactly divides the sum of three numbers, it must exactly divide the numbers separately.
(iv) A number is divisible by 18 , if it is divisible by both 3 and 6 .
(v) All numbers divisible by 5 are also divisible by 10 .
Multiple Choice Questions (MCQs)
Tick (✔) the correct option.
5. The number 21534 is not divisible by
(a) 2
(b) 6
(c) 9
(d) 3
6. Which of the following numbers is divisible by 11 ?
(a) 7284342
(b) 6543832
(c) 8432644
(d) 5599998
7. If a number is divisible by both 11 and 13 , then it must be necessarily.
(a) divisible by $(11+13)$
(b) divisible by $(13-11)$
(c) divisible by $(11 \times 13)$
(d) 429
8. Replace * by the smallest digit so that $25016^{*}$ is divisible by 8 .
(a) 4
(b) 2
(c) 0
(d) 6
9. Which one of the following numbers is divisible by 24 ?
(a) 25624
(b) 61284
(c) 62416
(d) 13584
10. If the number $7254^{*} 98$ is divisible by 22 , the digit at * is
(a) 1
(b) 2
(c) 6
(d) 0
11. Which of the following is not a prime number?
(a) 397
(b) 107
(c) 259
(d) 181
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