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Number System

SSC CGL Tier II Quant. Try each one first, then open its answer.

Top 10 SSC CGL Tier II PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 5 times: 2 Mar 2023 Tier II, 3 Mar 2023 Tier II, 6 Mar 2023 Tier II, 7 Mar 2023 Tier II, 20 Jan 2025 Tier II. This one: 20 Jan 2025 Tier II See all 5 of this type

    4
    Which number among 38211, 38121, 32118, and 31128 is divisible by 24?

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  2. Question 2

    Asked 3 times: 2 Mar 2023 Tier II*, 3 Mar 2023 Tier II*, 6 Mar 2023 Tier II (* = numbers or wording changed that year) See all 3 times it was asked

    30
    The number 1254216 is divisible by which of the following numbers?

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  3. Question 3

    This type asked 3 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 3 of this type

    22
    A six-digit number 11p9q4 is divisible by 24. Then the greatest possible value for pq is:

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  4. Question 4

    This type asked 2 times: 3 Feb 2022 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 2 of this type

    26
    How many integers in the set {1,2,3……,100}\{1, 2, 3\ldots\ldots, 100\} have exactly 3 divisors?

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  5. Question 5

    This type asked 2 times: 3 Feb 2022 Tier II, 7 Mar 2023 Tier II. This one: 7 Mar 2023 Tier II See all 2 of this type

    2
    The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.

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  6. Question 6

    Asked once: 7 Mar 2023 Tier II (same type asked 5 times) See all 5 of this type

    20
    Which of the following numbers is divisible by 11?

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  7. Question 7

    Asked once: 3 Feb 2022 Tier II (same type asked 3 times) See all 3 of this type

    90
    If a nine-digit number 789x6378y789x6378y is divisible by 72, then the value of xyxy is:

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  8. Question 8

    Asked once: 3 Feb 2022 Tier II (same type asked 2 times) See all 2 of this type

    61
    Let p, q, r and s be positive natural numbers having three exact factors including 1 and the number itself. If q>pq > p and both are two-digit numbers, and r>sr > s and both are one-digit numbers, then the value of the expression p−q−1r−s\frac{p - q - 1}{r - s} is:

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  9. Question 9

    Asked once: 3 Feb 2022 Tier II (same type asked 2 times) See all 2 of this type

    26
    The sum of the digits of the least number which when divided by 36, 72, 80 and 88 leaves the remainders 16, 52, 60 and 68, respectively, is:

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  10. Question 10

    Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    77
    If a 10-digit number 75462A97B6 is divisible by 72, then the value of 8A−4B\sqrt{8A - 4B} is:

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