LCM and HCF Aptitude Questions
LCM and HCF Aptitude Questions for Government Exams bring together published practice from government recruitment papers across different exam bodies. Work through the set at your own pace, revise concepts as needed and open any question to view its complete solution.
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Showing 1–20 of 339LCM and HCF Aptitude Questions for Competitive Exams
Q1What is the least number, which, when divided by 12, 18, 21 and 27 leaves the same remainder of 7, respectively?Q2Find the greatest number which on dividing 52, 196 and 436 leaves equal remainder.Q3Find the smallest number which, when divided by both 12 and 15, leaves a remainder of 7 in each case.Q4The largest four-digit number which when divided by 8, 10 and 5 leaves remainder 3 in each case is:Q5Starting together, five sirens sound at intervals of 2, 4, 6, 8, and 9 seconds respectively. How many times will they sound together in 36 minutes, including the one at the start?Q6Find the largest four-digit number that is exactly divisible by the given numbers 12, 16, 18 and 20 .Q7Find the least number which when divided by 10, 15, 20 and 25 leaves remainders of 5, 10, 15 and 20 respectively.Q8The greatest number that will divide 55, 127 and 175 so as to leave the same remainder in each case is:Q9Find the smallest number which, when divided by 12, 18 and 24, leaves a remainder of 5 in each case.Q10Find the smallest number which, when divided by 12, 18 and 24, leaves a remainder of 5 in each case.Practice Free →Q11X, Y and Z jump forward 4', 6' and 5', respectively. At 8 AM, they all land on mark 199'. How many times will they all land on the same mark (need not be at the same moment) between mark 195' and 1000', if all of them cross mark 1000' by 9 AM?Q12The least number which when increased by 7 is divisible by each of the numbers 32, 36, 54 and 64 is:Q13The sum of the digits of the greatest number that will divide 1359, 1871 and 2767 leaving the same remainder 15 in each case is:Q14The largest four-digit number which when divided by 7, 6 and 10 leaves the remainder 5 in each case, is:Q15The largest four-digit number which when divided by 15, 12 and 14 leaves remainder 5 in each case is:Q16Find the least number which when divided by 5, 6, 3 and 4 leaves a remainder 2, but when divided by 7 leaves no remainder. 2660Q17If the LCM of two numbers is 192 and their HCF is 32. If the first number is 64, find the second number.3197Q18The sum of two numbers is 50 and their LCM is 429. The two numbers are:2607Q19The sum of two numbers is 60 and their HCF and LCM are 12 and 72 respectively. Then find the sum of the reciprocals of the two numbers.Q20The sum of two numbers is 88 and their L.C.M. is 870. The two numbers are:
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Binary Number SystemCo-prime NumbersComposite NumbersCube and Cube RootCyclicityDifferent Types of Remainder ProblemsDivisibility Rule of 11Divisibility Rule of 12
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Divisibility Rule of 15Divisibility Rule of 18Divisibility Rule of 2Divisibility Rule of 3Divisibility Rule of 4Divisibility Rule of 6Divisibility Rule of 8Divisibility Rule of 9Divisibility RulesEuclidean AlgorithmEuler's TheoremEven and Odd NumbersEven FactorsFactorialFactors and MultiplesFermat's TheoremHCFHCF and LCMHCF by Prime FactorizationHighest Power in FactorialIntegersLCMLCM by Prime FactorizationNatural NumbersNumber of FactorsNumber SystemOdd FactorsPlace Value and Face ValuePrime FactorsPrime NumbersRational and Irrational NumbersReal NumbersRemainderRemainder TheoremSquare and Square RootSum of FactorsTrailing Zeros in FactorialTypes of NumbersUnit DigitWhole Numbers
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