Advanced Practice – Page 3 (Exam-Tricky Level)

High Difficulty • Pattern + Logic Mix • Target Time: 20 Minutes

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 Questions

Q1. 5, 13, 29, 61, 125, ?

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

Q3. 2, 3, 6, 15, 46, ?

Q4. A sum becomes ₹1464 in 2 years at 20% CI. Find principal.

Q5. A train crosses a pole in 15 sec and a platform in 25 sec. Ratio of lengths?

Q6. Ratio A:B:C = 4:5:6, total = 900. Find B.

Q7. 8, 24, 57, 113, 200, ?

Q8. A man sells at 25% profit. If CP = ₹400, find SP.

Q9. 6, 24, 60, 120, 210, ?

Q10. A completes work in 8 days, B in 12 days. Together?

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✔️ Answers & Explanation

Q1. Pattern: ×2 +3 → 5×2+3=13, 13×2+3=29 → Next = 125×2+3 = 253

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

Q3. Pattern: ×n + n → 2×1+1=3, 3×2=6, 6×3−3? Actually pattern: ×2−1, ×3−3, ×4−9 → Next = 46×5−25 = 205

Q4. P(1.2)² = 1464 → P = 1464 / 1.44 = 1016.67 ≈ 1017

Q5. Ratio = 15 : (25−15) = 15:10 = 3:2

Q6. Total parts = 15 → B = (5/15)×900 = 300

Q7. Differences: +16, +33, +56, +87 → Pattern: +17, +23, +31 → Next diff = +128 → 200+128 = 328

Q8. SP = 400 × 1.25 = 500

Q9. Pattern: n³ − n → 2³−2=6, 3³−3=24 → Next = 6³−6 = 210 → Next term = 7³−7 = 336

Q10. (1/8 + 1/12) = 5/24 → Time = 24/5 = 4.8 days