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DIVISIBILITY
1. 224 players are entered in a volleyball tournament. Each team has the same number of players.
How many players could there be on a team?
a. 6
b.5
c.10
d.9
2. What is the value of M and N respectively? If M39048458N is divisible by 8 and 11; where M
and N are single digit integers?
a. 7,8
b.8, 6
c.6,4
d.54
3. Find the greatest five digit number that is exactly divisible by 7, 10, 15, 21 and 28.
a. 99840
b.99900
c.99960
d.99990
4. The number 523abc is divisible by 7, 8, 9 then a×b×c is
a.120
b.130
c.180
d.190
5. A number consisting entirely of the digit one is called a repunit. For example 11111.find the
smallest repunit that is divisible by 63.
a.111111
b.222222
c.333333
d.666666
6. The number A4531B, where A and B are single digit number is divisible by 72. Then A+B is
equal to
a.5
b.7
c.8
d.4
7. The digits of a three digits number A are reversed to form a number B. such that B>A and B-A is
perfectly divisible by 7. Then which of the following is necessarily true.
a.112<A<311
b.100<A<299
c.106<A<305
d.118<A<317
8. What is the remainder when the number 123123123….123123123 is divided by 99 such that
the number has 300 digits.
a.18
b.27
c.33
d.36
9. Let M and N be single digit integers. If the product 2M5 × 13N is divisible by 36 then how many
ordered pairs of (M,N) are possible.
a.2
b.3
c.5
d.4
10. 123456789123456789…….up to 180 digits is divisible by 11. What is the remainder?
a.4
b.5
c.6
d.0
11. When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by
8?
a) 0
b) 1
c) 2
d) 3
e) 4
2
12. If n is an integer, when (2n + 2) is divided by 4 the remainder is
A) 0
B) 1
C) 2
D) 3
E) 4
13. What is the smallest positive 2-digit whole number divisible by 3 and such that the sum of its
digits is 9?
A) 27
B) 33
C) 72
D) 18
E) 90
14. Which of these numbers is not divisible by 3?
A) 339
B) 342
C) 552
D) 1111
E) 672
15. If a positive integer n is divided by 5, the remainder is 3. Which of the numbers below yields a
remainder of 0 when it is divided by 5?
A) n + 3
B) n + 2
C) n - 1
D) n - 2 E) n + 1
16. How many three digit odd numbers are divisible by 3?
a. 140
b. 450
c. 300
d. 150
17. From 120 to 843, how many numbers are divisible by both 20 and 25?
a. 11
b. 12
c. 13
d. 14
18. From 100 to 400, how many numbers are divisible by 6 or 9?
a. 64
b. 65
c. 66
d. 67
19. From 120 to 660, how many numbers are divisible by either 10 or 15, not both?
a. 54
b. 55
c. 60
d. 87
20. From 111 to 888, how many numbers are neither divisible by 9 nor divisible by 12?
a. 768
b. 788
c. 648
d. 500
Answers
1A
2C
11C
12A
3C
13D
4C
14D
5C
15B
6A
16 D
7C
17D
8C
18C
9D
19. A
10D
20. C