Real Numbers Test

Real Numbers

This is Real Numbers Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If two positive integers ‘a’ and ‘b’ are written as \(a = p{q^2}\) and \(b = {p^3}{q^2}\), where ‘p’ and ‘q’ are prime numbers, then LCM(a, b) =
  • A
    \({p^2}{q^3}\)
  • B
    \({p^2}{q^2}\)
  • C
    \({p^3}{q^2}\)
    Correct
  • D
    \(pq\)
2
The HCF of 867 and 255 is
  • A
    35
  • B
    51
    Correct
  • C
    25
  • D
    55
3
The LCM \({2^3} \times {3^2}\) of and \({2^2} \times {3^3}\) is
  • A
    \({2^2} \times 3\)
  • B
    \(2 \times {3^2}\)
  • C
    \({2^2} \times {3^2}\)
  • D
    \({2^3} \times {3^3}\)
    Correct
4
The least positive integer divisible by 20 and 24 is
  • A
    360
  • B
    480
  • C
    120
    Correct
  • D
    240
5
The HCF of two consecutive numbers is
  • A
    0
  • B
    3
  • C
    2
  • D
    1
    Correct
6
The HCF of two consecutive even numbers is
  • A
    3
  • B
    1
  • C
    2
    Correct
  • D
    0
7
The HCF of two consecutive odd numbers is
  • A
    1
    Correct
  • B
    0
  • C
    2
  • D
    3
8
The LCM of two consecutive numbers is
  • A
    0
  • B
    their sum
  • C
    their difference
  • D
    their product
    Correct
9
The LCM of two co-prime numbers is
  • A
    their sum
  • B
    their difference
  • C
    0
  • D
    Their product
    Correct
10
The LCM of 24, 60 and 150 is
  • A
    1800
  • B
    600
    Correct
  • C
    2400
  • D
    1200
11
The relationship between HCF and LCM of two natural numbers is
  • A
    None of these
  • B
    \(HCF{\text{ }} \times {\text{ }}LCM\) = Sum of two natural numbers
  • C
    \(HCF{\text{ }} \times {\text{ }}LCM\) = Difference of two natural numbers
  • D
    \(HCF{\text{ }} \times {\text{ }}LCM\) = Product of two natural numbers
    Correct
12
If HCF(72, 120) = 24, then LCM(72, 120) is
  • A
    1728
  • B
    2880
  • C
    360
    Correct
  • D
    240
13
If the HCF and LCM of two natural numbers are 12 and 144, and one of the numbers is 36, then the other number is
  • A
    48
    Correct
  • B
    60
  • C
    36
  • D
    72
14
If LCM(26, 91) = 182, then HCF(26, 91) =
  • A
    17
  • B
    11
  • C
    19
  • D
    13
    Correct
15
The HCF and LCM of two numbers are 9 and 90 respectively. If one number is 18, then the other number is
  • A
    45
    Correct
  • B
    63
  • C
    54
  • D
    36