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Home›MPPSC Forest›State Forest Service Mains Exam›Section 'B': Forestry and General Science›UNIT-10: Elementary Mathematics and General Mental Ability›Simple formula and their use factors, H.C.F., L.C.M. by factors, fractions, simple equations›The least number, which when divided by 12, 16, 24 and 36 leaves a

The least number, which when divided by 12, 16, 24 and 36 leaves a remainder of 3, is

20223M#mppsc-forest#pyq#mcq#2022
A.147Correct
B.144
C.141
D.145
Explanation & Solution

The correct answer is (A) 147.

  • LCM Calculation: The Least Common Multiple of 12, 16, 24, and 36 is 144144144.
  • Remainder Addition: The required least number that leaves a remainder of 3 when divided by these numbers is LCM+3=144+3=147LCM\text{LCM}LCM + 3 = 144 + 3 = 147LCM+3=144+3=147.

हिंदी में प्रश्न एवं आदर्श उत्तर

वह सबसे छोटी संख्या, जिसको 12, 16, 24 तथा 36 से विभाजित करने पर संख्या 3 शेष बचती है, है

A.147सही
B.144
C.141
D.145

सही उत्तर (A) 147 है।

  • लघुत्तम समापवर्त्य (LCM): 12, 16, 24 तथा 36 का लघुत्तम समापवर्त्य 144144144 है।
  • शेषफल संयोजन: अभीष्ट सबसे छोटी संख्या LCM+3=144+3=147LCM\text{LCM}LCM + 3 = 144 + 3 = 147LCM+3=144+3=147 होगी।
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