NUMBER SYSTEM MCQ SET 10
1. If n is a whole number greater than 1 , then nยฒ (nยฒ – 1) is always divisible by :
(a) 16
(b) 2
(c) 10
(d) 8
Answer: D
2. A six digit number is formed by repeating a three digit number , for example 256256 or 678678 etc . Any number of this form is always exactly divisible by :
(a) 7 only
(b) 11 only
(c) 13 only
(d) 1001
Answer: D
3. The sum of 3 – digit numbers abc , cab and bca is not divisible by :
(a) a + b + cย
(b) 37
(c) 31
(d) 3
Answer: C
4. The sum of 3 – digit numbers abc , bca and cab is always divisible by:
(a) 35
(b) 41
(c) 37
(d) 31
Answer: C
5. A 3 – digit number ABC , where A is at the hundreds place , B is at the tens place and C is at the unit’s place , is so-written as ABCABC and is divided by the LCM of 7 , 11 , and 13 . What will be the result ?
(a) ABC
(b) CBA
(c) BCA
(d) AAB
Answer: A
6. Consider a 6-digit number of the form XYXYXY. The number is divisible by
(a) 3 and 7 only
(b) 7 and 13 only
(c) 3 , 13 and 37 only
(d) 5 , 7 , 13 and 37
Answer: D
7. What will be the greatest number 32a78b , which is divisible by 3 but NOT divisible by 9? (Where a and b are single digit number) .
(a) 324781
(b) 329787
(c) 326787
(d) 329784
ย Answer: D
8. What is the value of x in the number 3426x if the number is divisible by 6 but not divisible by 5?
(a) 3
(b) 4
(c) 6
(d) 8
Answer: C
9. What is the number of possible pairs of (P , Q) . If the number 357P25Q is divisible by both 3 and 5?
(a) 7
(b) 6
(c) 5
(d) None of these
Answer: A
10. How many natural numbers are there from 200 to 300 .
(a) 100
(b) 99
(c) 98
(d) 101
Answer: D
Leave a Reply