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Playing with Numbers

Short Answer Type

41.

Check the divisibility of the following numbers by 9.

(i) 1827 (ii) 2025 (iii) 12345

94 Views

42.

Check the divisibility of the following numbers by 3.

(i) 1227 (ii) 6083 (iii) 12345

110 Views

43.

If 51x3 is a multiple of 9, where x is a digits, then what is the value of x?

226 Views

44.
If 27x is a multiple of 3 and x is a digit then find the value of x.

Sum of the digits of 27x

                        = 2 + 7 + x
                         = 9 + x
Since,     27x   is a multiple of 3

∴    (9 + x) is divisible by 3.

$space space space space space rightwards double arrow$ 9 + x must be equal to 9 or 12 or 15
           When 9 + x = 9 "<pre x = 0

           When 9 + x = 12 "<pre x = 3

           When 9 + x = 15 "<pre x = 6

When 9 + x = 18 "<pre x = 9

When 9 + x = 21 "<pre x = 0 (∵ x is a digit)

The x can equal to 0, 3, 6 or 9.

75 Views

45.

Write the following numbers in the generalized form:

(i) 65 (ii) 605

118 Views

46.

Write the following numbers in usual form:

(i) 7 x 100 + 10 x 5 + 9 x 1 (ii) 4 x 100 + 10 x 0 + 7 x 1

85 Views

47.

Is 307 divisible by 9?

83 Views

48.

Is 1125 divisible by 3?

163 Views

49.

Is 10011 divisible by 3?

78 Views

Multiple Choice Questions

50.

If 12 x is divisible by 2, then x must be equal to

5
1
0, 2, 4, 6, or 8

97 Views