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Question 1
Which is the smallest number which when divided by 15, 12 or 14 leaves 12, 9, 11 as the respective remainders?
Question 2
The LCM and HCF of two numbers 36 and 86 are in the ratio?
Question 3
What is the HCF of (3 × 7), (7 × 18) and (18 × 3)?
Question 4
Which is the second smallest number, which, when divided by 12 and 55, leaves the remainder 5?
1325.
665.
1985.
655.
Ans: a
The LCM of 12 and 55 = 660. All the numbers that leave remainder 5 upon being divided by either of the given two numbers are of the form 660k + 5. When k = 1, we get the smallest number, and k = 2 gives the next required number = 1325.
Question 5
Three cyclists are cycling in a circular track. They, respectively, take 4, 7 and 22 minutes to complete the circle once. After how many minutes will they all again meet at a single point?
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This Blog Post/Article "HCF and LCM Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-02