Teacher's Resources

19. Playing with Numbers

Click the correct answer (True & False).

If a number is divisible by 2, then it must be divisible by 4.

True

False

The least value of (x + y) if 4xy7 is exactly divisible by 3 is 1.

True

False

The sum of a 2-digit number 'ab' and its reversing number 'ba' is always a multiple of 9.

True

False

If x5y4z is exactly divisible by 9, then the least value of (x + y + z) is 6.

True

False

If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.

True

False

If 213x27 is divisible by 9, then the least value of x is 0.

True

False

If a number is divisible by 9, it must be divisible by 3.

True

False

Click the correct answer.

If A × C × AC = CCC, where A and C are different digits, then what are the values of A and C?

A = 3 and C = 7

A = 7 and C = 3

A = 4 and C = 7

A = 7 and C = 4

If$$\$$$and @ are two operations such that a$$\$$$b = a × b + 2 and a @ b = a + b – 1, then what is the value of {(3 $ 3) @ 3}?

If abc is a 3-digit number, then what will be the quotient if abc – cba is divided by 99?

a – c

a + b

b + c

b – c

If abc is a 3-digit number, then what will be the quotient if abc + bca + cab is divided by 37?

a + b + c

111

3(a + b + c)

a – b – c

For a 2-digit number ab, what will be the quotient if ab – ba is divided by a – b?

111

If 6A × B = A8B, where A and B are digits, then what is the value of A – B?

–2

–3

Click the correct answer.

$$\frac{ab-ba}{a-b}$$=

$$\frac{ab+ba}{a+b}$$=

$$\frac{abc+bca+cab}{111}$$=

$$a + b + c$$

$$b + a - c$$

$$a - b - c$$

$$\frac{abc+bca+cab}{3(a+b+c)}$$=

111

$$\frac{abc-cba}{99}$$=

$$a - c$$

$$c - a$$

$$a + c$$

$$\frac{abc-cba}{11(a-c)}$$=

$$\frac{abc-cba}{3}$$=

$$33 \left (a - c \right )$$

$$33 \left (c - a \right )$$

$$33 \left (a + c \right )$$

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