Class 10 Mathematics Practice Set: Chapter 01 Real Numbers
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Question. HCF of 8, 9, 25 is
a) 8
b) 9
c) 25
d) 1
Answer : D
Question. The product of a rational and irrational number is
a) Rational
b) Irrational
c) both of above
d) none of above
Answer : B
Question. If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a = ?
a) 2
b) 3
c) 4
d) 1
Answer : C
Question. The ratio between the LCM and HCF of 5, 15, 20 is:
a) 9 : 1
b) 4 : 3
c) 11 : 1
d) 12 : 1
Answer : D
Question. If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is
a) 24
b) 16
c) 8
d) 48
Answer : A
Question. The product of a non-zero number and an irrational number is:
a) always irrational
b) always rational
c) rational or irrational
d) one
Answer : A
Question. If HCF (26, 169) = 13, then LCM (26, 169) is …
a) 26
b) 52
c) 338
d) 13
Answer : C
Question. L.C.M. of 23 × 32 and 22 × 33 is :
a) 23
b) 33
c) 23 × 33
d) 22 × 32
Answer : C
Question. The number ‘π’ is
a) natural number
b) rational number
c) irrational number
d) rational or irrational
Answer : C
Question. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is
a) 4
b) 2
c) 1
d) 3
Answer : B
Question. Express 98 as a product of its primes
a) 22 × 7
b) 22 × 72
c) 2 × 72
d) 23 × 7
Answer : C
Very Short Answer type Questions
Question. Find the greatest number of four digits which is exactly divisible by 15, 24 and 36.
Answer : 9720
Question. Find the HCF and LCM of 108, 120 and 252 using prime factorisation method.
Answer : HCF(108, 120, 252) = 12, LCM(108, 120, 252) = 7560.
Question. Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.
Answer : 96 = 25 × 3, 404 = 22 × 101, LCM (96, 404) = 9696
Question. Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm.
Answer : 35 cm
Question. Find the LCM and HCF of the pair of integers 336 and 54 and verify that LCM × HCF = product of the two numbers.
Answer : 22338
Question. Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case.
Answer : 3647
Question. Find the HCF and LCM of 612 and 1314 using prime factorisation method.
Answer : HCF(612, 1314) = 18, LCM(612, 1314) = 44676
Question. Find the largest number which divides 245 and 1037, leaving remainder 5 in each case.
Answer : 24
Question. Consider the numbers 4n, where n is a natural number. Check whether there is any value of n for which 4n ends with the digit zero.
Answer : There is no natural number n for which 4n ends with the digit zero.
Question. Find the smallest number which when divided by 28 and 32 leaves remainders 8 and 12 respectively.
Answer : 204
Question. Find the least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3
Answer : 23
Question. Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method.
Answer : HCF (6, 72, 120) = 6, LCM (6, 72, 120) = 360
Question. Three measuring rods are 64 cm, 80 cm and 96 cm in length. Find the least length of cloth that can be measured an exact number of times, using any of the rods.
Answer : 9.6 m
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Download CBSE Practice Material: Class 10 Mathematics Chapter 01 Real Numbers
Download Practice Sheet: Chapter 01 Real Numbers (Class 10 Mathematics)
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