CTET PAPER II 2019 · PYQ · LCM and Remainders · medium
Let x be the least number which when divided by 8, 12, 20, 28, 35 leaves a remainder 5 in each case. What is the sum of digits of x?
- A.11
- B.14
- C.15
- D.17✓ Correct
We need x = LCM(8, 12, 20, 28, 35) + 5. Compute LCM: 8 = 2^3, 12 = 2^2 × 3, 20 = 2^2 × 5, 28 = 2^2 × 7, 35 = 5 × 7. LCM = 2^3 × 3 × 5 × 7 = 8 × 105 = 840. So x = 840 + 5 = 845. Sum of digits of 845 = 8 + 4 + 5 = 17.
💡
Practice unlimited CTET PAPER II PYQs + AI-tracked progress on each topic.
Sign up free →Want more CTET PAPER II practice?
Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English