Check if the following statements are true(T) or false(F).
a) 257a is divisible by 10 if and only if a=0.
b) For any whole number a, 12a50 is divisible by 10.

(3 marks)

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Solution

Solution:
If the units digit of a number is 0 then the number is exactly divisible by 10.
(0.5 mark)

a) 257a is divisible by 10 if and only if a=0.
Since, it is following the rule of divisibility by 10 as their unit digit ‘a’ is 0.
(1 mark)

Hence, the statement is true.

b) For any whole number a, 12a50 is divisible by 10.
Since, it is following the rule of divisibility by 10 as their unit digit is 0.
(0.5 marks)

In this rule, only unit digit matters. Rest all digits can be any whole number.
(1 mark)

Hence, the statement is true.

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Check if the following statements are true(T) or false(F). a) 257a is divisible by 10 if and only if a=0. b) For any whole number a, 12a50 is divisible by 10. (3 marks)

Check if the following statements are true(T) or false(F).
a) 257a is divisible by 10 if and only if a=0.
b) For any whole number a, 12a50 is divisible by 10.

(3 marks)