SSC CGL Tier-1 practice question
The HCF of two numbers is 8 and their LCM is 144. If one of the numbers is 16, find the other number.
From a SSC CGL Tier-1 Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) 72
We know the fundamental property:
\[
\text{First Number} \times \text{Second Number} = \text{HCF} \times \text{LCM}
\]
Let the other number be \(y\):
\[
16 \times y = 8 \times 144
\]
\[
y = \frac{8 \times 144}{16} = \frac{144}{2} = 72
\]
हिंदी में प्रश्न
दो संख्याओं का म.स.प. (HCF) 8 और ल.स.प. (LCM) 144 है। यदि उनमें से एक संख्या 16 है, तो दूसरी संख्या ज्ञात कीजिए।
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सही उत्तर: (B) 72
हम जानते हैं कि:
\[
\text{पहली संख्या} \times \text{दूसरी संख्या} = \text{HCF} \times \text{LCM}
\]
माना दूसरी संख्या \(y\) है:
\[
16 \times y = 8 \times 144
\]
\[
y = \frac{8 \times 144}{16} = \frac{144}{2} = 72
\]
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