Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
Given:
Divisors = 12, 18, 24
Remainder in each case = 5
Formula Used:
Required number = LCM(a, b, c) + Remainder
Solution:
First, find the LCM of 12, 18, and 24.
Prime factorization:
12 =
18 =
24 =
LCM = = 8 × 9 = 72
The required smallest number is LCM + Remainder.
Required number = 72 + 5 = 77
Final Answer
So the correct answer is (c)
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150 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins EnglishFind the H.C.F. of 18, 54, and 72 is:
What is the least number which is divisible by 8, 12 and 18?
Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
Find the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ring simultaneously at 8:00 am. They will ring simultaneously again at
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously again at :
The largest four-digit number which when divided by 9, 18 and 23, leaves a remainder 5 in each case, is:
The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.
Suggested Test Series
Suggested Test Series
Find the H.C.F. of 18, 54, and 72 is:
What is the least number which is divisible by 8, 12 and 18?
Find the smallest number which, when divided by 12,18 and 24 , leaves a remainder of 5 in each case.
What is the largest 4 digit number that is divisible by 3,7,11,13 ?
Find the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ring simultaneously at 8:00 am. They will ring simultaneously again at
Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously again at :
The largest four-digit number which when divided by 9, 18 and 23, leaves a remainder 5 in each case, is:
The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.
