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Aptitude · all questions

Problems On H.C.F And L.C.M
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HCF of   and is = ?

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The sum of two numbers is 45. Their difference is of their sum. Their LCM is = ?

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The number nearest to 43582 divisible by each of 25, 50 and 75 is = ?

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A milk vendor has 21 litres of cow milk, 42 litres of toned milk and 63 litres of double toned milk. If he wants to pack them in cans, so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required is = ?

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The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively ?

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Product of two co-prime numbers is 117. Then their LCM is = ?

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The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54 is = ?

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What is the greatest number of 3 digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case ?

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Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again ?

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The least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 2 in each case is = ?

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The HCF of x6 - 1 and x4 + 2x3 - 2x1 - 1 is = ?

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Find the least number which when divided by 12, leaves a remainder of 7; when divided by 15, leaves a remainder of 10 and when divided by 16, leaves a remainder of 11 = ?

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Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively = ?

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Find the greatest number of 4 digits which when divided by 4, 5, 6, 7 and 8 leaves 1, 2, 3, 4 and 5 as remainders = ?

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Let x be the smallest number, which when added to 2000 make the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is = ?

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Let x be the last number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves remainder 0, the sum of digits of x is = ?

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A number when divided by 361 gives remainder 47. When the same number is divided by 19 then find the remainder ?

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The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is = ?

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A gardener has to plant trees in rows containing equal number of trees. If he plants in rows of 6, 8, 10 or 12 then five trees are left unplanted. But if he plants in rows of 13 trees each, then no tree is left. What is the number of trees that the gardener plants ?

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When Seeta made necklaces of either 16 beads, 20 beads or 36 beads, not a single bead was left over. What could be the least number of beads Seeta had = ?

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