Divisibility Rules - Handout 1
1.The value of x for which 75x394 is divisible by 3 is
a)3 b)4 c)5 d)7
2.If 8432x is exactly divisible by 6,
then find x.
a)1 b)3 c)4 d)7
3.If 98_ is a three-digit number with a
missing digit. If the number is divisible by 6, the missing digit is?
a)4 b)
7 c) 0 d) 1
4.Find the least value of 'x' so that
the number 73891x is divisible by 8
a)1 b)
2 c) 3 d) 4
5.Find the least value of 'b' so that
the number 48367b6 is exactly divisible by 8.
a)1 b)2 c)3 d)4
6.What is the smallest number that
should be added to 58346 to make it exactly divisible by 9?
a)1 b)2 c)3 d)4
7.What is the smallest value that must be assigned to '*' so that the
number 721*848 is exactly divisible by 9?
a)7 b)8 c)5 d)6
8.Find the least value of k such that
4886k is divisible by 11.
a)1 b)
2 c) 3 d) 4
9.Find the least of the value of 'p', so
that the number 732p48 is divisible by 11
a)3 b)
2 c) 1 d) 5
10.If 14978a672 is divisible by 11, then
a is _:
a) 7 b) 8 c) 9 d) None
11.Both extreme left and right digits of
a 75-digit number N are 4. N is a multiple of 11, then all the middle digits are
a)1 b)3 c)4 d)8
12.What
would the least number be subtracted from 893763 so that the remaining number
is divisible by 15?
a)1 b)3 c)8 d)11
13.A
number is formed by writing the first 74 natural numbers in front of each other
as 1234567891011... What is the remainder when this number is divided by 8?
a)7 b)6 c)4 d)5
14.If a number is divisible by both 9 and 13, then it must be necessarily
a) divisible by (9+13) b)
divisible by (13-9)
c)divisible by (9 x 13) d)99
15.For a number to be divisible by 42, it
should be:
a) Divisible by 6. b)
Divisible by 7.
c) Divisible by 6
and 7. d) None.
16.Which of the following numbers is not a multiple of 18?
a)75318 b)48636 c)98676 d)73881
17.Which of the following numbers is a multiple of 45?
a)2283 b)3920 c)4275 d)3685
18.The
number 735a25 is such that it is divisible by 45. What can the value a2
be?
a)36 b)25 c)49 d)64
19.Which
of the following numbers is exactly divisible by 36?
a)8343 b)3429 c)8464 d)7632
20.Which of the following statements is true?
I)
32325 is divisible by 15 II) 45216 is divisible by 36
A.
Statement I is true, but II is not
B.
Statement I is not true, but II is true
C.
Both the statements are true
D.
Both the statements are not true
21.Which
of the following is 1922184 divisible?
I. 12 ii.
11 iii. 9
iv. 108
a)Both
I and ii b)Both I and iii
c)Both
ii and iii d)All I,
ii, iii and iv
22.N is a number formed by the last two digits of a three-digit integer. If
N is exactly divisible by 6, the
original number itself will always be divisible by
a)6 b)3 c)2 d)9
23.The
number 4444….44(12 times) is divisible by
a)88 b)108 c)99 d)132
24.A
number N is divisible by 7 and 8 but not divisible by 9. Then which one of the
following cannot be an integer?
a)N/56 b)N/28 c)N/14 d)N/36
