Two-digit number and its reverse (10a + b, 10b + a): find the number or its digits
This type of question, asked 9 times: CDS 1 2018, CDS 2 2020, CDS 2 2021, CDS 2 2022, CDS 1 2023, CDS 2 2023, CDS 2 2025, CDS 1 2026, CDS 2 2026. All 9 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2018
39The age of a woman is a two-digit integer. On reversing this integer, the new integer is the age of her husband who is elder to her. The difference between their ages is one-eleventh of their sum. What is the difference between their ages?Tap an option to check your answer.
Question 2
CDS 2 2020
36The sum of the digits of a two digit number is 13 and the difference between the number and that formed by reversing the digits is 27. What is the product of the digits of the number ?Tap an option to check your answer.
Question 3
CDS 2 2021
32A two-digit number is such that the product of the digits is 8. If 63 is added to this number, the digits interchange their places. What is the sum of the digits in the number ?Tap an option to check your answer.
Question 4
CDS 2 2022
27Consider the question and two statements given below : A 2-digit number is added to the number formed by reversing the digits of the 2-digit number. Question : What is the 2-digit number ? Statement-1 : The sum is divisible by 9. Statement-2 : The sum is divisible by 2. Which one of the following is correct in respect of the question and the statements ?Tap an option to check your answer.
Question 5
CDS 1 2023
9The sum of digits of a 2-digit number is 12. When the digits are reversed, the number becomes greater by eighteen. What is the difference between the digits in the number?Tap an option to check your answer.
Question 6
CDS 2 2023
3A 2-digit number is such that the sum of the number and the number obtained by reversing the order of the digits of the number is 55. Further, the difference of the given number and the number obtained by reversing the order of the digits of the number is 45. What is the product of the digits ?Tap an option to check your answer.
Question 7
CDS 2 2025
82A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : The product of a natural number and the number written by the same digits of in the reverse order is 252. What is the number ? Statement-I : Statement-II : Which one of the following is correct in respect of the above Question and the Statements?Tap an option to check your answer.
Question 8
CDS 1 2026
11Seven times a two-digit positive number is equal to four times the number obtained by reversing the order of the digits. How many such two-digit numbers are there ?Tap an option to check your answer.
Question 9
CDS 2 2026
23A number N consists of two digits. The digit in the tens place is 3 times the digit in the units place. The digits are reversed and the resulting number is denoted by R. If , then what is the product of the digits of the number N ?Tap an option to check your answer.