Total distance = 120 + 80 = 200 km. Total time = 2 + 1.5 = 3.5 hours. Average speed = 200/3.5 = 57.14 km/h. Wait, let me recalculate: 200/3.5 = 65.71 km/h.

Let the number be 100. After 20% increase: 120. After 20% decrease of 120: 120 × 0.8 = 96. Net change = 96 - 100 = -4, which is 4% decrease.

Powers of 3 mod 7: 3^1=3, 3^2=2, 3^3=6, 3^4=4, 3^5=5, 3^6=1. Pattern repeats every 6. 100 = 16×6 + 4, so 3^100 ≡ 3^4 ≡ 4 (mod 7). Actually 3^4 = 81, 81 mod 7 = 4. Let me verify: 3^6 ≡ 1, so 3^100 = 3^(96+4) = (3^6)^16 × 3^4 ≡ 1 × 81 ≡ 4 (mod 7). Wait, checking again: 3^2=9≡2, 3^3≡6, 3^4≡4, 3^5≡5, 3^6≡1. So answer is 4.

Cost price = 400. Marked price = 400 × 1.40 = 560. Selling price = 560 × 0.90 = 504. Profit = 504 - 400 = 104. Profit % = (104/400) × 100 = 26%.

Work = 5 × 12 = 60 man-days. For 3 days: Men needed = 60/3 = 20 men.

24 = 2^3 × 3, 36 = 2^2 × 3^2, 48 = 2^4 × 3. LCM = 2^4 × 3^2 = 16 × 9 = 144.

CI = P(1+R/100)^T - P = 10000(1.1)^2 - 10000 = 10000(1.21) - 10000 = 12100 - 10000 = 2100.

Rate of filling = 1/6 + 1/8 - 1/12 = (4+3-2)/24 = 5/24. Time = 24/5 = 4.8 hours. Hmm, let me recalculate: (1/6 + 1/8 - 1/12) = (4+3-2)/24 = 5/24. So time = 1/(5/24) = 24/5 = 4.8. But 3.43 is closest to our options, let me verify the calculation once more with LCM 24: 1/6 = 4/24, 1/8 = 3/24, 1/12 = 2/24. Net = (4+3-2)/24 = 5/24. Time = 24/5 = 4.8. None match exactly, but checking: could the answer key have error?

12, 24, 36, 48 are all multiples of 12. 62 is not a multiple of 12.

From 'all roses are flowers' and 'some flowers are red', we can conclude that some roses might be red, but we cannot definitively say all roses are red. The safest conclusion from the logical overlap is that some roses could be red.