CAT Questions | CAT Number Systems Questions

CAT Quantitative Aptitude | CAT Number Systems: Digits problems

A CAT Number theory question from Number Systems: Digits that appears in the Quantitative Aptitude section of the CAT Exam will consist of concepts from Digits, Test of Divisibility, Perfect squares and so on. In CAT Exam, one can expect to get 1~2 questions from CAT Number Systems: Digits. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

  1. CAT Number Theory: Product of Digits

    How many numbers with distinct digits are possible product of whose digits is 28?

    1. 6
    2. 4
    3. 8
    4. 12
    Choice C
    8

  2. CAT Number Theory: Sum of first n natural numbers

    A page is torn from a novel. The sum of the remaining page numbers is 10000. What is the sum of the two page-numbers on the torn page of this novel?

    1. 77 and 78
    2. 33 and 34
    3. 8 and 9
    4. None of these
    Choice D
    None of these

  3. CAT Number Theory: Perfect Square

    A 4-digit number of the form aabb is a perfect square. What is the value of a - b?

    1. 3
    2. 2
    3. 4
    4. 1
    Choice A
    3

  4. CAT Number Theory: Last two digits

    What are the last two digits of the number 745?

    1. 07
    2. 23
    3. 49
    4. 43
    Choice A
    07

  5. CAT Number Theory: Multiples

    n2 + 5n + 6 is a multiple of 6. n is natural number less than 100. How many values can n take?

    1. 33
    2. 65
    3. 66
    4. 67
    Choice C
    66

  6. CAT Number Theory: Greatest integer function

    [x] is the greatest integer less than or equal to x. Find the number of positive integers n such that [\\frac{n}{11}\\)] = [\\frac{n}{13}\\)] .

    1. 31
    2. 25
    3. 35
    4. 40
    Choice C
    35

  7. CAT Number Theory: Medians, Number

    Positive numbers 1 to 55, inclusive are placed in 5 groups of 11 numbers each. What is the maximum possible average of the medians of the 5 groups?

    1. 34
    2. 28
    3. 35
    4. 38
    Choice D
    38

  8. CAT Number Theory: 44th digit of a number

    N is an 80-digit positive integer (in the decimal scale). All digits except the 44th digit (from the left) are 2. If N is divisible by 13, find the 44th digit?

    1. 5
    2. 6
    3. 1
    4. 2
    Choice B
    6

  9. CAT Number Theory: Divisibility of powers

    A number 416 + 1 is divisible by x. Which among the following is also divisible by x?

    1. 496 + 1
    2. 432 + 1
    3. 48 + 1
    4. 448 + 1
    Choice D
    448 + 1

  10. CAT Number Theory: Test of Divisibility

    Which among the following is the smallest 7 digit number that is exactly divisible by 43?

    1. 1000043
    2. 1000008
    3. 1000006
    4. 1000002
    Choice B
    1000008

  11. CAT Number Theory: Three digit number combinations

    How many 3-digit positive integers, with digits a, b and c exist such that a < b and c < b? Assume that a is in hundred's place, b is in ten's place, c is in unit's place and a is a non-zero digit.

    1. 450
    2. 240
    3. 364
    4. 648
    Choice B
    240

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