SSC MTS 2021 · PYQ · LCM and HCF · medium
The LCM of two positive integers is twice the larger number and the HCF of the two numbers is 3. The smaller number is:
Answer
The correct answer is A: 6. HCF = 3, so numbers are 3a and 3b. LCM = 2 × larger = 2 × 3a = 6a.
- A.6✓ Correct
- B.8
- C.10
- D.9
HCF = 3, so numbers are 3a and 3b. LCM = 2 × larger = 2 × 3a = 6a. Also LCM = 3×a×b → 6a = 3ab → b = 2. Smaller number = 3b = 6.
💡
Practice unlimited SSC MTS PYQs + AI-tracked progress on each topic.
Sign up free →More LCM and HCF questions
Want more SSC MTS practice?
Free daily 10-Q quiz · adaptive mocks · 49,000+ practice questions (19,000+ verified PYQs) · AI doubt solver in Hindi + English