PROBLEMS ON LCM AND HCF
1. The four integers next lower than 81, and the four next higher than 81, are written down and added together, this sum is divisible by,
(a) 7 (b) 9 (c) 11 (d) 13
2. How many numbers, between 1 and 300 are divisible by 3 and 5 together?
(a) 16 (b) 18 (c) 20 (d) 100
3. A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5?
(a) 9 (b) 3 (c) 0 (d) 4
4. If 5432* 7 is divisible by 9, then the digit in place of * is
(a) 0 (b) 1 (c) 6 (d) 8
5. At a college football game, 4/5 of the seats in the lower deck of the stadium were sold. If 1/4 of all the seating in the stadium is located in the lower deck, and if 2/3 of all the seats in the stadium were sold, then what fraction of the unsold seats in the stadium was in the lower deck ?
(a) 3/20 (b) 1/6 (c) 1/5 (d) 1/3
6. If a, a + 2 and a + 4 are prime numbers, then the number of possible solutions for a is
(a) one (b) two (c) three (d) more than three
7.The product of two consecutive even numbers is 12768. What is the greater number ?
(a) 110 (b) 108 (c) 114 (d) 112
8. What is 131 times 333 ?
(a) 46323 (b) 43623 (c) 43290 (d) 44955
9. The cost of 3 chairs and 100 tables is ` 9856. What is the cost of 6 chairs and 20 tables?
(a) `17227 (b) `18712 (c) `19172 (d) Cannot be determined
10. Three friends A, B and C start running around a circular stadium and complete a single round in 24, 36 and 30 seconds respectively. After how many minutes will they meet again at the starting point?
(a) 12 (b) 6 (c) 8 (d) 15
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