Class 8 Maths
Playing with Numbers
Ex.16.1 Q.1
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.2
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.3
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.4
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.5
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.6
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.7
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.8
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.9
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.1 Q.10
Find the values of the letters in the following and give reasons for the steps involved.
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Ex.16.2 Q.1
If 21y5 is a multiple of 9, where y is a digit, what is the value of y?
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Ex.16.2 Q.2
If 31z5 is a multiple of 9, where z is a digit, what is the value of z?
You will find that there are two answers for the last problem. Why is this so?
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Ex.16.2 Q.3
If 24x is a multiple of 3, where x is a digit, what is the value of x?
(Since 24x is a multiple of 3, its sum of digits 6 + x is a multiple of 3; so 6 + x is
one of these numbers: 0, 3, 6, 9, 12, 15, 18 ...
But since x is a digit, it can only be that 6 + x = 6 or 9 or 12 or 15.
Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values.)
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Ex.16.2 Q.4
If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?
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