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Day 70: CDS Maths

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

  1. Question 1

    Averages. This type asked 2 times: CDS 1 2017, CDS 2 2024. This one: CDS 2 2024 See all 2 of this type

    23
    A person purchases one kg of tea powder from each of the four places A,B,C,DA, B, C, D at the rate of Rs. 1000 per 1 kg, 2 kg, 4 kg, 5 kg. If on an average he purchased xx kg of tea powder per Rs. 1000, then what is the approximate value of xx ?

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  2. Question 2

    Number System. This type asked 2 times: CDS 2 2016, CDS 2 2024. This one: CDS 2 2024 See all 2 of this type

    3
    Let NN be a 5-digit number. When NN is divided by 6, 12, 15, 24 it leaves respectively 2, 8, 11, 20 as remainders. What is the greatest value of NN ?

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  3. Question 3

    Number System. This type asked 2 times: CDS 1 2023, CDS 2 2024. This one: CDS 1 2023 See all 2 of this type

    24
    What is the HCF of 329−93^{29} - 9 and 338−93^{38} - 9?

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  4. Question 4

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

    79
    Consider the following statements in respect of p=n(n+1)(n+2)(n+3)+1p = n(n+1)(n+2)(n+3) + 1, where nn is a natural number : I. pp is always odd II. pp is a perfect square Which of the statements given above is/are correct ?

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  5. Question 5

    Number System. This type asked 2 times: CDS 1 2024, CDS 2 2024. This one: CDS 1 2024 See all 2 of this type

    18
    If n is a natural number, then what is the sum of all distinct remainders of 4n+6n+9n+11n4^n + 6^n + 9^n + 11^n when divided by 10 for various values of n ?

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