UPSC CDS/OTA
LCM and HCF
Mathematics
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LCM and HCF

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Questions
30
Time
30 min
Marks
30
Solutions
All inline
Q1Find the LCM of 24 and 36.EasySolve →Q2The HCF of two numbers is 18, and their LCM is 180. If one number is 90, find the other number.ModerateSolve →Q3Find the greatest number that will divide 1305, 4665, and 6905 exactly, leaving the same remainder in each case.DifficultSolve →Q4The LCM of two numbers is 495 and their HCF is 5. If one number is 45, find the other.ModerateSolve →Q5Find the least number which when divided by 12, 18, 21, and 30 leaves the remainder 10 in each case.DifficultSolve →Q6The greatest number that divides 1095 and 1160 leaving remainders 7 and 12 respectively is:ModerateSolve →Q7The product of two numbers is 1296 and their HCF is 12. Find their LCM.EasySolve →Q8Find the smallest 4-digit number divisible by 6, 8, and 9.ModerateSolve →Q9Two numbers are in ratio 3:4 and their HCF is 6. Find their LCM.ModerateSolve →Q10The greatest number that divides 1220 and 1456 exactly is:EasySolve →
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