Number System MCQ Set 9

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

Show Answer

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

Show Answer

Answer: A

3. Which of the following numbers is NOT divisible by 150?

(a) 320550

(b) 333300

(c) 453754

(d) 201300

Show Answer

Answer: C

4. The largest six – digit number exactly divisible by 243 is:

(a) 999947

(b) 999949

(c) 999943

(d) 999945

Show Answer

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

Show Answer

Answer: B

6. 2^25 + 2^26 + 2^27  is divisible by

(a) 6

(b) 7

(c) 5

(d) 9

Show Answer

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

Show Answer

 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

Show Answer

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

Show Answer

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

Show Answer

Answer: D