NUMBER SYSTEM MCQ SET 8
1. If 4M37094267N is divisible by both 8 and 11 , where M and N are single digit integers , then the valued M and N is :
(a) M = 5 , N = 6
(b) M = 2 , N = 5
(c) M = 5 , N = 2
(d) M = 5 , N = 4
Answer: C
2. What is the least value of x + y , if 10 digit number 780x533y24 is divisible by 88?
(a) 4
(b) 3
(c) 1
(d) 2
Answer: D
3. If the nine – digit number 7p5964q28 is completely divisible by 88 , what is the value of (p^2 – q) , for the largest value of q , where p and q are natural numbers ?
(a) 72
(b) 9
(c) 0
(d) 81
Answer: A
4. If the nine digit number 9m2365n48 is completely divisible by 88 , what is the value of (m^2 x n^2) for the smallest value of n , where m and n are natural numbers ?
(a) 32
(b) 64
(c) 20
(d) 36
Answer: B
5. If the number 55p1067q9 is exactly divisible by 99 , then pq is equal to :
(a) 35
(b) 28
(c) 36
(d) 42
Answer: A
6. If the 9 – digit number 4x92y6588 is exactly divisible by 99(x + y < 10) , then what s the value of 2(y – x) ?
(a) -2
(b) 1
(c) 2
(d) -1
Answer: C
7. Which of the following numbers is divisible by 55?
(a) 178765
(b) 185625
(c) 171125
(d) 164485
ย Answer: B
8. If the 5 – digit number 535ab is divisible by 3 , 7 and 11 , then what is the value of (aยฒ – bยฒ + ab) ?
(a) 95
(b) 83
(c) 89
(d) 77
Answer: A
9. If the 5 – digit number 235xy is divisible by 3 , 7 and 11 , then what is the value of (3x – 4y)?
(a) 8
(b) 9
(c) 5
(d) 10
Answer: D
10. The number 833p2q is exactly divisible by 7 , 11 and 13 . What is the value of (p – q) ?
(a) 8
(b) 3
(c) 5
(d) 11
Answer: C
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