Problems on Numbers - Handout 1
1.What
is the difference between the place values of 7 and 9 in the number 87965?
a)7000 `b)2c)893
d)6100
2.What
is the difference between the place value of 9 and face value of 2 in the
number 879263?
a)8998 b)191 c)8800 d)8100
3.A
prime number greater than 11 will never end with_?
a)5 b) 7 c)
9 d) 1
4.The
difference between the greatest number and the smallest number of 5 digits 0,
1, 2, 3, 4 using all but once is?
a)32976 b) 37876
c) 43785
d) 43210
5.If
the numbers: 169,248,974,517,612,732and 325 are arranged in descending order
based on the sum of the digits of each of these numbers, the middle number will
be
a)248 b)517 c)612 d)974
6.The value of x for
which 75x394 is divisible by 3
a)3 b)4 c)5 d)7
7.If
8432x is exactly divisible by 6, then find x?
a)1 b)3 c)4 d)7
8.If
98_ is a three-digit number with as a missing digit. If the number is divisible
by 6, the missing digit is?
a)4 b) 7 c)
0 d) 1
9.Find
the least value of 'x' so that the number 73891x is divisible by 8
a)1 b) 2 c)
3 d) 4
10.Find
the least value of 'b' so that the number 48367b6 is exactly divisible by 8?
a)1 b)2 c)3 d)4
11.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
12.What is the least value that must be assigned to '*'
so that the number 451*603 is exactly divisible by 9?
a)7 b)8 c)5 d)9
13.Find
the least value of k such that 4886k is divisible by 11?
a)1 b) 2 c)
3 d) 4
14.Find
the least of the value of 'k', so that the number37k24 is divisible by 11
a)3 b) 2 c)
1 d) 4
15.If
14978a672 is divisible by 11, then a is _:
a) 7 b) 8 c)
9 d) None
16.Both
the end of digits of a 99-digit number N are 3. N is divisible by 11, then all
the middle digits are
a)1 b)3 c)4 d)6
17.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
18.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
19.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
20.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.
21.Which of the following numbers is not divisible by
18?
a)54036 b)50436 c)34056 d)65043
22.Which of the following numbers is exactly divisible
by 45?
a)2283 b)3920 c)4275 d)3685
23.Which of the
following numbers is exactly divisible by 36?
a)8343 b)3429 c)8464 d)7632
24.If a number 5849A32B
is divisible by 72, then a possible value of (A+B) can be
a)0 b)10 c)19 d)5
25.If the number formed by the last two digits of a
three-digit integer is an integral multiple of 6, the original number itself
will always be divisible by
a)6 b)3 c)2 d)12
26.The number
4444….44(12 times) is divisible by
a)88 b)108 c)99 d)132
27.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
28.The sum of a two-digit number and the number obtained by interchanging
the digits is 88. What is the sum of the digits of the number?
a)5 b)6
c)7 d)8
29.The
difference between a two-digit number and the number obtained by interchanging
its digits is 45. What is the difference between the two digits of the number?
a) 3 b) 5 c) 1 d) 2
30.In a
two-digit number, the sum of the digits is 15. If 9 is subtracted from the
number, the digits are reversed. The number is _?
a)96 b) 87 c)
78 d) 69
31.The
sum of the digits of a two-digit number is 8. If the digits are reversed, the
number is increased by 54. Find the number
a)38 b)53 c)71 d)17
32.The sum of the digits a two-digit number is 9. When the digits are
interchanged, the number will be decreased by 9. What is the number?
a)63 b)36 c)45 d)54
33.A
certain number of two digits is 3 times the sum of its digits. Find the number?
a)72 b)23 c)27 d)32
34.A 4-digit number is formed by repeating a 2-digit
number such as 1515, 3737, etc. Any number of this form is exactly divisible
by
a)7 b)11 c)13 d)101
35.If the sum of the
digits of any integer lying between 100 and 1000 is subtracted from the number,
the result is always divisible by
a) 2 b)5 c)9 d)6
36.Which of the
following numbers will always divide a six-digit number of the form
xyxyxy(where 1≤x≤9, 1≤y≤9)
a)1010 b)10101 c)11011 d)11010
