Hello Dear Students! Hope everything is fantastic! Here on this page we (Net Ex.) has arranged a set of questions on ‘LCM and HCF of numbers’ for the students of Navodaya Vidyalaya Entrance Exam (JNVST) 2024. The prescribed questions on LCM and HCF of numbers will very important for this year 2024.
LCM and HCF of numbers Class 6 Navodaya Vidyalaya 2024:
Full Mark : 100 Time : 3 hours
(1) What is mean by LCM? (1 × 1 = 1)
(2) What is mean by HCF? (1 × 1 = 1)
(3) What are difference between LCM and HCF?(1 × 1 = 1)
(4) Show the relation between HCF and LCM of two numbers by using a formula.(1 × 1 = 1)
(5) What is meant by the prime factorization?(1 × 1 = 1)
(6) Find HCF by writing the common factors of each number. (10× 1 = 10)
(i) 25, 15
(ii) 15, 10
(iii) 31, 39
(iv) 11, 33
(v) 69, 42
(vi) 18, 40
(vii) 8, 12,24
(viii) 44, 88, 77
(ix) 75, 40, 46
(x) 120, 80, 145
(7) Find the HCF of following numbers, using the prime factorization method.(10 × 1 = 10)
(i) 10, 16
(ii) 22, 45
(iii) 66, 44
(iv) 28, 14
(v) 46, 56
(vi) 60, 72
(vii) 18, 46, 88
(viii) 75, 66, 125
(ix) 22, 44, 88
(8) Find the HCF of the following numbers, using the long division method.(10 × 1 = 10)
(i) 72, 184
(ii) 63. 112
(iii) 276, 161
(iv) 314, 334
(v) 405, 513
(vi) 128, 340
(vii) 234, 538, 678
(viii) 155, 341, 1302
(ix) 399, 665, 1463
(9) Find the LCM of given numbers by finding their common multiples.(10 × 1 = 10)
(i) 4, 6
(ii) 5, 6
(iii) 2, 4
(iv) 3, 8
(v) 4, 9
(vi) 6, 14
(vii) 11, 14
(viii) 13, 15
(ix) 2, 4, 8
(x) 7, 3, 9
(10) Use division method to find the HCF. (5× 1 = 5)
(i) 845, +1024
(ii) 1555, 2842
(iii) 525, 1615, 955
(iv) 432, 352, 512
(v) 775, 658, 325
(11) Use prime factorization method to find the HCF.(5 × 1 = 5)
(i) 48, 58
(ii) 75, 95
(iii) 685, 775
(iv) 490, 880
(v) 1225, 365
(12) Find the HCF of the following numbers.(5 × 1 = 5)
(i) 224466, 885544
(ii) 75, 45, 125
(iii) 325, 456, 780
(iv) 975, 965, 985
(v) 1025, 1252, 2465
(13) Find the LCM of the following numbers.(5 × 1 = 5)
(i) 22, 88, 66
(ii) 85, 75, 65
(iii) 125, 255, 185
(iv) 132, 142, 262
(v) 455, 365, 475
(14) Answer the following questions :(5 × 1 = 5)
(i) The LCM of two numbers 660 and 2100 is 23100. Find their HCF.
(ii) The HCF of two numbers 525 and 1155 is 105. Find their LCM.
(iii) The HCF of two numbers is 16 and their product is 3328. Find their LCM.
(iv) The HCF and LCM of two numbers are 29 and 3045. If one of the numbers is 435, find the other.
Solve the following Problems :(5 × 6= 30)
(15) Find the shortest length of a wire that can be measured exactly with 8 m, 12 m and 16 mlong measuring tapes respectively.
(16) The paper of a note-book is 24 cm by 28 cm. Jitu wants to cover the paper completely with square patterns of the same size.
Find:
(i) The largest possible area of each square pattern.
(ii) The number of square patterns that Jitu can draw to cover the paper completely.
(17) Two containers have 650 litres and 980 litres of oil respectively. Find the capacity of a container which can measure the oil in each container in exact number of times.
(18) There are 216, 464 and 512 students in three classes respectively. Buses are to be hired to take these students for a school trip. Find the maximum number of students who can sit in a bus if each bus carries an equal number of students
(19) Three light houses flash their lights every 20 seconds, 30 seconds and 40 seconds respectively. If they flash together at 3 p.m, at what time will they next flash together?
(20) The HCF and LCM of two numbers are 25 and 525. If one number is 125, find the other?