NUMBER SYSTEM MCQ SET 9
1. If the 6 – digit number 57zxy8 is divisible by each of 7 , 11 and 13 , then (x – 2y + z) is :
(a) -1
(b) 2
(c) 1
(d) -2
Answer: A
2. Which of the following in the least 6 – digit number that is divisible by 93?
(a) 100068
(b) 100070
(c) 100075
(d) 100065
Answer: A
3. Which of the following numbers is NOT divisible by 150?
(a) 320550
(b) 333300
(c) 453754
(d) 201300
Answer: C
4. The largest six – digit number exactly divisible by 243 is:
(a) 999947
(b) 999949
(c) 999943
(d) 999945
Answer: D
5. What is the greatest five – digit number that is completely divisible by 8 , 15 , 16 , 21 and 5 ?
(a) 98320
(b) 99120
(c) 95760
(d) 92680
Answer: B
6. 2^25 + 2^26 + 2^27ย is divisible by
(a) 6
(b) 7
(c) 5
(d) 9
Answer: B
7. Which of the following numbers will completely divide 7^81 + 7^82 + 7^83 ?
(a) 399
(b) 389
(c) 387
(d) 397
ย Answer: A
8. 5^71 + 5^72 + 5^73 + 5^74 + 5^75 is divisible by which of the following number ?
(a) 71
(b) 69
(c) 89
(d) 73
Answer: A
9. If a positive integer ‘n’ is divisible by 3 , 5 and 7 , then what is the next larger integer divisible by all these numbers ?
(a) n + 21
(b) n + 35
(c) n + 105
(d) n + 110
Answer: C
10. The greatest whole number by which the expression n^4 + 6n^3 + 11n^2 + 6n + 24 is divisible for every natural number n , is :
(a) 6
(b) 24
(c) 132
(d) 48
Answer: D
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