Mathematics Class 5 HCF and LCM Q1) Choose the correct answer. (1 Mark) The LCM of 9, 12 is ----. a) b) c) d) Q2) 36 9 12 108 Choose the correct answer. (1 Mark) The HCF of two consecutive even numbers is ----. a) b) c) d) Q3) 2 1 8 0 Choose the correct answer. (1 Mark) The greatest number which can divide 16, 20 and 24 is ----. a) b) c) d) Q4) 8 4 2 24 Choose the correct answer. The LCM of two prime numbers is their ----. a) b) c) d) Product Sum Difference Quotient ǀ Copyright © 2015 Macmillan Publishers India Ltd. All rights reserved (1 Mark) Mathematics Class 5 Q5) Choose the correct answer. (1 Mark) The HCF of two consecutive odd numbers is ----. a) b) c) d) Q6) 0 1 2 3 Choose the correct answer. (1 Mark) The HCF of two prime numbers is ----. a) b) c) d) 1 Greatest among them Smallest among them 0 Q7) Two numbers are said to be ---------- or---------- ---------- to each other if they have no common factor other than 1. (2 Marks) Q8) Fill in the blanks: (2 Marks) If a and b are two numbers with HCF H and LCM L then a x b = ---------Q9) The HCF of any given numbers cannot be ---------- than any of the given numbers. (1 Mark) Q10) Fill in the blanks: (2 Marks) The HCF of any given numbers cannot be ---------- than any of the given numbers. Q11) Fill in the blanks: (2 Marks) The LCM of any given numbers cannot be ---------- than any of the given numbers. Q12) Fill in the blanks: (2 Marks) HCF of two numbers is always ------ than the LCM. Q13) In the 8th standard of a certain school, it is possible to divide the pupils into equal-sized (2 Marks) sections of either 24 or 30 or 32 pupils with no pupils left over. Find the smallest number of pupils that makes this possible. How many sections will there be if each section is to have 30 pupils? ǀ Copyright © 2015 Macmillan Publishers India Ltd. All rights reserved Mathematics Class 5 Q14) Find the prime factors of: 720 (2 Marks) Q15) Find HCF of 135 and 108. (3 Marks) Q16) Find the LCM of the following numbers by the method of prime factorisation: 16,24,36 (2 Marks) Q17) Find the prime factors of: 438 (2 Marks) Q18) Find the smallest number, which when divided by 16, 36 and 40 leaves a remainder of 7 (2 Marks) in each case. Q19) Express the given number in prime factors: 125 Q20) The HCF and LCM of two numbers are 16 and 672 respectively. If one of the numbers is (2 Marks) 112, find the other number. ǀ Copyright © 2015 Macmillan Publishers India Ltd. All rights reserved (2 Marks) Mathematics Class 5 Answers Q1) 36 Q2) 2 Q3) 4 Q4) Product Q5) 1 Q6) 1 Q7) Coprime, relatively prime Q8) HxL Q9) Greater Q10) Greater Q11) Less Q12) Less Q13) 480 pupils, 16 sections Q14) The Prime Factors are: 2 x 2 x 2 x 2 x 3 x 3 x 5 Q15) 27 Q16) 144 Q17) The Prime Factors are: 2 x 3 x 73 Q18) 727 Q19) 5x5x5 Q20) 96 ǀ Copyright © 2015 Macmillan Publishers India Ltd. All rights reserved
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