Question

Read the given instructions to identify the correct number.
(i) The difference between the digits in the Ones and Tens place is 1.
(ii) The digit in Tens place is greater than that in Ones place.
(iii) The digit in the Ones place is greater than 6.

• A. $56$
• B. $97$
• C. $87$
• D. $67$

Answer 1

The correct option is C $87$

Say:
We have to identify the correct number based on the given instructions.

Steps:
$\bullet$ Let us consider all the options one by one.
$\bullet$ Option A: 67
$\bullet$ Difference between the digits at Ones and Tens place: 7 – 6 = 1
$\bullet$ But as per the second instruction, the digit in Tens place, i.e., 6 is not greater than the digit in the Ones place, i.e., 7.
$\bullet$ So, this cannot be the correct answer.
Option B: 87
$\bullet$ Difference between the digits at Ones and Tens place: 8 – 7 = 1
$\bullet$ The digit in Tens place, i.e., 8 is greater than the digit in the Ones place, i.e., 7
$\bullet$ Also the digit in the Ones place, i.e., 7 is greater than 6.
$\bullet$ So, this can be the correct answer.
$\bullet$ Option C: 97
$\bullet$ Difference between the digits at Ones and Tens place: 9 – 7 = 2, which does not satisfy as per the instruction.
Option D: 56
$\bullet$ This also cannot be the correct answer because the digit in Ones place, i.e., 6 is not greater than 6.
$\bullet$ Hence, Option B is correct.

Q. If the first instruction is not given, then which other options can also be considered as correct?
A: Option B, 97, can also be correct because the digit in its Tens place (9) is greater than that in the Ones place (7). Also, the digit in Ones place (7) is greater than 6.