PYQ Vault

Rhombus: side from the half-diagonals, area = half the product of diagonals

This type of question, asked 5 times: CDS 2 2017, CDS 1 2019, CDS 2 2022, CDS 2 2025, CDS 2 2026. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2017

    80
    The diagonals of a rhombus are of length 20 cm and 48 cm. What is the length of a side of the rhombus ?

    Tap an option to check your answer.

  2. Question 2

    CDS 1 2019

    47
    All the four sides of a parallelogram are of equal length. The diagonals are in the ratio 1 : 2. If the sum of the lengths of the diagonals is 12 cm, then what is the area of the parallelogram ?

    Tap an option to check your answer.

  3. Question 3

    CDS 2 2022

    86
    The area of a rhombus is 96 square cm and one of its diagonals is of length 12 cm. What is the perimeter of the rhombus ?

    Tap an option to check your answer.

  4. Question 4

    CDS 2 2025

    90
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : The diagonals of a rhombus ABCD are in the ratio 5:125 : 12. Is one of the diagonals equal to side of the rhombus? Statement-I : The sum of the diagonals =34= 34 cm. Statement-II : The length of a side =13= 13 cm. Which one of the following is correct in respect of the above Question and the Statements?

    Tap an option to check your answer.

  5. Question 5

    CDS 2 2026

    61
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABCD is a rhombus of side 10 cm. What is the sum of the squares of the diagonals of the rhombus ? Statement I : AC : BD = 3 : 4. Statement II : AC = 6 cm. Which one of the following is correct in respect of the above Question and Statements ?

    Tap an option to check your answer.