Advanced Practice – Page 5 (Refined Exam Mock Level)

Very High Difficulty • Mixed Concepts • Target Time: 20 Minutes

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 Questions

Q1. 8, 27, 64, 125, 216, ?

Q2. A and B together complete a work in 6 days. A alone takes 10 days. B alone?

Q3. 3, 7, 15, 31, 63, ?

Q4. A sum becomes ₹2662 in 2 years at 15% CI. Find principal.

Q5. A train crosses a pole in 18 sec and a platform in 30 sec. Ratio of train length to platform length?

Q6. Ratio A:B:C = 2:3:5, total = 2000. Find B.

Q7. 5, 14, 30, 55, 91, ?

Q8. If SP is 25% more than CP, find profit %.

Q9. 2, 12, 36, 80, 150, ?

Q10. A completes work in 12 days, B in 18 days. Together?

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✔️ Answers & Explanation

Q1. Cubes → 2³, 3³, 4³, 5³, 6³ → Next = 7³ = 343

Q2. (1/A + 1/B = 1/6), A=10
→ 1/B = 1/6 − 1/10 = (5−3)/30 = 2/30 = 1/15 → 15 days

Q3. Pattern: ×2 +1 → 3×2+1=7 → Next = 63×2+1 = 127

Q4. P(1.15)² = 2662 → P = 2662 / 1.3225 ≈ 2012

Q5. Ratio = 18 : (30−18) = 18:12 = 3:2

Q6. Total parts = 10 → B = (3/10)×2000 = 600

Q7. Differences: +9, +16, +25, +36 → squares → Next +49 → 91+49 = 140

Q8. SP = 125% of CP → Profit = 25%

Q9. Pattern: n³ + n² → Next = 6³ + 6² = 216+36 = 252

Q10. (1/12 + 1/18) = 5/36 → Time = 36/5 = 7.2 days