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Day 80: CDS Maths

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

  1. Question 1

    Mensuration 2D. This type asked 2 times: CDS 1 2017, CDS 2 2020. This one: CDS 2 2020 See all 2 of this type

    84
    Areas of two squares are in the ratio m2:n4m^2 : n^4. What is the ratio of their perimeters ?

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  2. Question 2

    Number System. This type asked 2 times: CDS 1 2020, CDS 2 2020. This one: CDS 2 2020 See all 2 of this type

    20
    If An=Pn+1A_n = P_n + 1, where PnP_n is the product of the first nn prime numbers, then consider the following statements : 1. AnA_n is always a composite number. 2. An+2A_n + 2 is always an odd number. 3. An+1A_n + 1 is always an even number. Which of the above statements is/are correct ?

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  3. Question 3

    Percentage, Profit and Loss. This type asked 2 times: CDS 2 2019, CDS 2 2020. This one: CDS 2 2020 See all 2 of this type

    23
    If a television set is sold at Rs. xx, a loss of 28% would be incurred. If it is sold at Rs. yy, a profit of 12% would be incurred. What is the ratio of yy to xx ?

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  4. Question 4

    Polynomials. This type asked 2 times: CDS 1 2020, CDS 2 2020. This one: CDS 2 2020 See all 2 of this type

    35
    What is the square root of 4x4+8x3−4x+14x^4 + 8x^3 - 4x + 1 ?

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  5. Question 5

    Ratio, Proportion and Variation. This type asked 2 times: CDS 2 2016, CDS 2 2020. This one: CDS 2 2020 See all 2 of this type

    25
    Three persons start a business with capitals in the ratio 13:14:15\frac{1}{3} : \frac{1}{4} : \frac{1}{5}. The first person withdraws half his capital after 4 months. What is his share of profit if the business fetches an annual profit of Rs. 96,800 ?

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