The sum of the digits of a two-digit number is 9. If 27 is subtracted from the number, its digits are interchanged. Which of these is the product of the digits of the number?
Correct option is (C) 12
Let the two-digit number be ab whose unit digit is b and ten's digit is a.
\(\therefore\) Required number is ab = 10a + b _________(1)
Reversed number is...
Correct option is (B) lies between 30 and 40
Let the two-digit number be ab where a is 10's digit and b is unit digit.
\(\therefore\) ab = 10a + b __________(1)
\(\because\) Sum of...
Correct option is (C) 71
Let the number be ab or (10a+b)
\(\therefore\) Sum of digits = a+b
Given that sum of digits of two-digit number is 8.
\(\therefore\) a+b = 8 __________(1)
Reversed...
Correct Answer - D
Three-digit numbers are 100, 101, …, 999. Total number of such numbers is 900. The three-digit numbers (which have all same digits) are 111, 222, 333, …,...
Correct Answer - C
`(c )` Case I : All six digits alike
i.e. `111111`, `222222`……..etc. `=5` ways
Case II : `2` alike `+2` other alike.
Select any three in `"^(5)C_(3)`...