Mathematics MCQs (Q51 – Q60)
Q51. A man buys a watch for Rs 1400 and sells it for Rs 1120. His loss percentage is
- A) 15%
- B) 18%
- C) 20%
- D) None of these
Answer: C
Loss = 1400 − 1120 = 280. Loss% = (280/1400) × 100 = 20%.
Q52. Average of 8 numbers is 25. Two numbers 20 and 30 are removed. New average is
- A) 24
- B) 25
- C) 26
- D) None of these
Answer: B
Total = 8 × 25 = 200. Removing 20 and 30 leaves 150. New average = 150/6 = 25.
Q53. A batsman scored 36, 54, 27, 81, 42 and 60 in six innings. His average score is
- A) 48
- B) 50
- C) 52
- D) None of these
Answer: B
Total score = 300. Average = 300 ÷ 6 = 50.
Q54. In a container of 40 litres milk, 8 litres are removed and replaced with water twice. Milk remaining is
- A) 25.6 litres
- B) 26.4 litres
- C) 28 litres
- D) None of these
Answer: A
Milk remaining = 40 × (32/40) × (32/40) = 25.6 litres.
Q55. Pipe A fills a tank in 6 hours and Pipe B fills it in 12 hours. Together they fill the tank in
- A) 3 hours
- B) 4 hours
- C) 5 hours
- D) None of these
Answer: B
Combined rate = 1/6 + 1/12 = 1/4. Therefore time = 4 hours.
Q56. A car covers 240 km at 60 km/h and returns at 80 km/h. Average speed for whole journey is
- A) 68.57 km/h
- B) 70 km/h
- C) 72 km/h
- D) None of these
Answer: A
Average speed = 2ab/(a+b) = 2×60×80/140 = 68.57 km/h.
Q57. Area of a circle is 154 cm². Its circumference is
- A) 44 cm
- B) 42 cm
- C) 48 cm
- D) None of these
Answer: A
r² = 154 ÷ (22/7) = 49, therefore r = 7. Circumference = 2πr = 44 cm.
Q58. A room is 8m long, 5m wide and 4m high. Area of four walls is
- A) 96 m²
- B) 100 m²
- C) 104 m²
- D) None of these
Answer: C
Area of four walls = 2h(l+b) = 2×4×(8+5) = 104 m².
Q59. Compound interest on Rs 5000 at 10% per annum for 2 years is
- A) Rs 1000
- B) Rs 1050
- C) Rs 1100
- D) None of these
Answer: B
Amount = 5000 × (1.10)² = 6050. Compound interest = 1050.
Q60. A sum becomes Rs 8820 in 2 years at 5% compound interest. The principal amount is
- A) Rs 7500
- B) Rs 7800
- C) Rs 8000
- D) None of these
Answer: C
8820 = P × (1.05)². Solving gives P = 8000.