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Day 22: CDS Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Heights and Distances. This type asked 4 times: CDS 1 2019, CDS 1 2020, CDS 1 2024, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type

    46
    A vertical pole of length 80 m is situated on the horizontal plane. The base of the pole is at PP. There are two points AA and BB such that PP, AA, BB are on the same straight line. Let the angles of elevation of top of the pole from AA and BB be α\alpha and β\beta (α>β\alpha > \beta) respectively. If PA=64PA = 64 m and AB=36AB = 36 m, then what is (α+β)(\alpha + \beta) equal to ?

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  2. Question 2

    Number System. This type asked 4 times: CDS 2 2018, CDS 2 2019, CDS 2 2020, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type

    28
    Let N=12345678ABN = 12345678AB be a 10-digit number, where AA, BB are digits. If NN is divisible by 9, then which of the following statements is/are correct ? I. (A+B)(A + B) is divisible by 9 II. If AA is odd, then BB is odd Select the answer using the code given below :

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  3. Question 3

    Percentage, Profit and Loss. This type asked 4 times: CDS 2 2017, CDS 1 2018, CDS 1 2023, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type

    65
    A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : If the price of petrol goes up by 20%, by what percentage should the consumption be reduced so that the expenditure remains the same ? Statement-I : Price of petrol per litre was Rs. 90 Statement-II : Consumption was 24 litre before price hike Which one of the following is correct in respect of the above Question and the Statements ?

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  4. Question 4

    Ratio, Proportion and Variation. This type asked 4 times: CDS 1 2019, CDS 2 2020, CDS 2 2023, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type

    6
    pp varies directly as (x2+y2+z2)(x^2 + y^2 + z^2). When x=1x = 1, y=2y = 2, z=3z = 3, then p=70p = 70. What is the value of pp when x=−1x = -1, y=1y = 1, z=5z = 5 ?

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  5. Question 5

    Ratio, Proportion and Variation. This type asked 4 times: CDS 2 2016, CDS 1 2019, CDS 1 2021, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type

    66
    A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : The ratio of PP's salary to QQ's salary is 6:56 : 5. How much is PP's expenditure ? Statement-I : The ratio of PP's saving to QQ's saving is 3:23 : 2 Statement-II : The ratio of PP's expenditure to QQ's expenditure is 1:11 : 1 Which one of the following is correct in respect of the above Question and the Statements ?

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