# PROBLEMS ON H.C.F AND L.C.M

Problems On H.c.f And L.c.m Fully solved questions with complete explanation for written test, interview, competitive exams and entrance test. This section is very useful for those who are preparing for competitive exams such as Written test of IT companies,Bank Exams, CAT Exams, GATE Exams, Railway Exams, SSC, UPSC, Defence and many more.

Q. The ratio of two numbers is 3:4 and their HCF is 4.Their LCM is

• A) 12
• B) 16
• C) 24
• D) 48
Q. The LCM of two numbers is 1820 and their HCF is 26, if one number is 130 then other number is

• A) 70
• B) 1690
• C) 364
• D) 1264
Q. The product of two numbers is 2028 and their HCF is 13, the number of such pairs is

• A) 1
• B) 2
• C) 4
• D) 3
Q. the least number which when divided by 4,5 and 6 leaves remainder 1,2 and 3 respectively is

• A) 57
• B) 59
• C) 61
• D) 63
Q. The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14, the larger of the two numbers is

• A) 276
• B) 299
• C) 345
• D) 322
Q. The LCM of two numbers is 20 times their HCF. The sum of HCF and LCM is 2520. if one number is 480, the other number is

• A) 400
• B) 480
• C) 520
• D) 600
Q. The sum of two numbers is 45, their difference is 1/9 of their Sum, their LCM is

• A) 200
• B) 250
• C) 100
• D) 150
Today's Challenging Question
Q. Ajay & Bimal can do a price of work in 10 days, Bimal & Chetan can do in 15 days and Chetan and Ajay in 20 days. They work together for 6 days and then Ajay leaves and now Bimal & Chetan work together for 4 more days. If Bimal leaves, how long will Chetan take to finish the work?
A) 12 days
B) 10 days
C) 16 days
D) none
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