Real Numbers Test

Real Numbers

This is Real Numbers Test-03 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The HCF and LCM of two numbers is 9 and 459 respectively. If one of the number is 27, then the other number is
  • A
    150
  • B
    15
    Correct
  • C
    135
  • D
    459
2
If HCF(a, b) = 12 and \(a{\text{ }} \times {\text{ }}b\) = 1800, then LCM(a, b) is
  • A
    1800
  • B
    900
  • C
    150
    Correct
  • D
    90
3
The HCF of the smallest prime number and the smallest composite number is
  • A
    1
  • B
    4
  • C
    2
    Correct
  • D
    0
4
The largest number which divides 245 and 1029 leaving remainder 5 in each case is
  • A
    12
  • B
    4
  • C
    16
    Correct
  • D
    8
5
The largest number which divides 33 and 75, leaving remainders 1 and 3 respectively is
  • A
    16
  • B
    12
  • C
    6
  • D
    8
    Correct
6
The largest number of 4 digits exactly divisible by 12, 15, 18 and 27 is
  • A
    9270
  • B
    1000
  • C
    9999
  • D
    9720
    Correct
7
The smallest number of 4 digits exactly divisible by 12, 15, 18 and 27 is
  • A
    1000
  • B
    1002
  • C
    1080
    Correct
  • D
    1001
8
If the LCM of two numbers is 45 times their HCF and the sum of LCM and HCF is 1150, then HCF =
  • A
    45
  • B
    25
    Correct
  • C
    1150
  • D
    50
9
The LCM of two numbers \({a^2}{b^3}{c^9}{d^6}{e^{11}}\) and \({g^5}{f^{21}}{a^3}{b^1}{c^{10}},\) where \(a,b,c,d,e,f,g\) are prime numbers, is:
  • A
    \({a^2}b{c^9}{g^5}{f^{21}}\)
  • B
    \({a^2}b{c^9}\)
  • C
    \({a^3}{b^3}{c^{10}}{d^6}{e^{11}}{f^{21}}{g^5}\)
    Correct
  • D
    \({g^5}{f^{21}}\)
10
An army contingent of 616 members is to march behind an army band of 32 members in a parade on the occasion of Republic Day. The two groups are to march in the same number of column. The maximum number of column in which they can march is
  • A
    6
  • B
    8
    Correct
  • C
    12
  • D
    16
11
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600, then LCM =
  • A
    600
  • B
    500
  • C
    560
    Correct
  • D
    480
12
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then the other number is
  • A
    100
  • B
    120
  • C
    150
  • D
    80
    Correct
13
Two tankers contain 850 litres and 680 litres of petrol. The maximum capacity of a container which can measure the petrol of each tanker in exact number of times is
  • A
    170 liters
    Correct
  • B
    180 liters
  • C
    200 liters
  • D
    190 liters
14
Two tankers contain 135 and 225 litres of water respectively. The maximum capacity of a container which can measure the water of each tanker in exact number of times is
  • A
    25 liters
  • B
    35 liters
  • C
    55 liters
    Correct
  • D
    55 liters
15
If the HCF of 210 and 55 is expressible in the form \(210 \times 5 + 55y,\) then \(y = \)
  • A
    –19
    Correct
  • B
    –29
  • C
    29
  • D
    19