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Question

Read the given instructions to identify the correct number.
(i) The number is greater than 3 Tens.
(ii) It is less than half of 80.
(iii) The difference between the digits in Tens and Ones places of the number is 3.

A
25
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B
47
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C
38
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D
36
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Solution

The correct option is D 36
Say:
We have to identify the correct number based on the given instructions.

Steps:
3 Tens = 30
So, as per the first instruction, the number should be greater than 30.
Half of 80 means a number when subtracted from 80 will give the same number as the difference.
So, 80 – 40 = 40
So, as per the second instruction, the number should be less than 40.
As per the third instruction, the difference between the Tens and Ones place values of the number should be 3.
Let us consider the options one by one.
Option A: 47
47 is greater than 40, which does not satisfy the second instruction.
So, it cannot be the correct answer.
Option B: 25
25 is less than 30, which does not satisfy the first instruction.
So, it also cannot be the correct answer.
Option C: 38
38 is greater than 30 and less than 40, which satisfies the first two instructions.
Difference between the digits: 8 – 3 = 5.
It does not satisfy the third instruction.
So, it cannot be the correct answer.
Option D: 36
36 is greater than 30 and less than 40, which satisfies the first two instructions.
Difference between the digits: 6 – 3 = 3.
It satisfies the third instruction as well.
Hence, Option D is correct.

Q: 47 can also be one of the correct options because the difference between the digits in its place values is 3. Is that correct? Why?
A: No, because though the difference between the digits in its place values is 3, based on the second instruction, it is greater than half of 80.

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