All Free Mathematics MCQs with Answers
Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
1,551 questions · page 47 of 78
- A. 50
- B. 100
- C. 150
- D. 200
Explanation: Let the numbers of 25-paisa, 10-paisa and 5-paisa coins be k, 2k and 3k.
Correct answer: 150- A. 2 : 5
- B. 3 : 5
- C. 4 : 5
- D. 6 : 7
Explanation: Let the third number be k. The two numbers are 120% of k and 150% of k, so their ratio is 1.2k:1.5k = 12:15 = 4:5.
Correct answer: 4 : 5- A. Rs. 500
- B. Rs. 1500
- C. Rs. 2000
- D. None of these
Explanation: The difference between C and D is 4 - 3 = 1 proportionate part, and this equals Rs.1000.
Correct answer: Rs. 2000- A. 20
- B. 30
- C. 48
- D. 58
Explanation: Let the first two numbers be 2k and 3k, and the last two be 5m and 8m. Since 3k = 5m, use m = 3t and k = 5t, giving the numbers 10t, 15t…
Correct answer: 30- A. 6
- B. 12
- C. 18
- D. None of these
Explanation: Write the numbers as 3k, 4k and 6k. Their product is 3k x 4k x 6k = 72k^3 = 1944, so k^3 = 27 and k = 3; the largest number is 6k = 18.
Correct answer: 18- A. 400
- B. 320
- C. 240
- D. 300
Explanation: Distance is proportional to the amount of fuel when the car's consumption is unchanged.
Correct answer: 320- A. 66 km
- B. 55 km
- C. 50 km
- D. 60 km
Explanation: Atif's distance and Bilal's distance are in the ratio 6:5, so Atif covers 6/11 of the total 110 km.
Correct answer: 60 km- A. 14
- B. 15
- C. 16
- D. 18
Explanation: The tank's capacity is 12 x 13.5 litres = 162 litres. With 9-litre buckets, the number needed is 162 litres / 9 litres = 18 buckets.
Correct answer: 18- A. 2700
- B. 1080
- C. 450
- D. 1800
Explanation: Six machines produce 270 bottles per minute, so one machine produces 270/6 = 45 bottles per minute.
Correct answer: 1800- A. 3:4
- B. 5:4
- C. 4:3
- D. 5:3
Explanation: The same work can be represented as 12 men x 20 days = 240 man-days or 20 women x 16 days = 320 woman-days.
Correct answer: 4:3- A. 1:3
- B. 4:3
- C. 2:3
- D. 2:1
Explanation: The work equals 20 women x 16 days = 320 woman-days and also 16 men x 15 days = 240 man-days.
Correct answer: 4:3- A. 3:4
- B. 3:5
- C. 4:5
- D. 16:15
Explanation: For equal dividends, investment is inversely proportional to the dividend earned per rupee.
Correct answer: 16:15- A. Rs. 4500
- B. Rs. 6000
- C. Rs. 5500
- D. Rs 4000Education
Explanation: If x is invested in the 12% stock at Rs. 120, its income is x x 12/120 = 0.10x. The remaining Rs.
Correct answer: Rs 4000Education- A. Rs.50
- B. Rs.105
- C. Rs.115.20
- D. Rs.125.40
Explanation: The 10% stock at Rs. 96 yields 10/96 per rupee invested. For an equally good 12% stock priced at x, set 12/x = 10/96, giving x = (12 x Rs.
Correct answer: Rs.115.20- A. Rs. 4800
- B. Rs. 5400
- C. Rs. 5000
- D. Rs. 5600
Explanation: The 9% stock at Rs. 75 yields 9/75 = 0.12 of the investment, while the 10% stock at Rs. 80 yields 10/80 = 0.125.
Correct answer: Rs. 5000- A. Rs. 80
- B. Rs. 115.20
- C. Rs. 120
- D. Rs. 125.40
Explanation: The 10% stock at Rs. 96 gives a yield of 10/96 per rupee invested. If the 12% stock is equally good and its price is P, then 12/P = 10/96…
Correct answer: Rs. 115.20- A. 4 : 3
- B. 3 : 2
- C. 6 : 5
- D. 7 : 6
- E. None of theseFinding Low Interest Personal Loans
Explanation: Equal simple interest means P1 x 6% x T = P2 x 7% x T, so P1:P2 = 7:6. Option c, 6:5, incorrectly uses the interest rates in the same…
Correct answer: 7 : 6- A. 80%
- B. 100%
- C. 84%
- D. 87.5%
- E. None of these
Explanation: In 180 g of mixture, milk is 80% × 180 g = 144 g and water is 36 g. Adding 36 g of pure milk gives 180 g milk in a total of 216 g, so the…
Correct answer: None of these- A. 40
- B. 44
- C. 48
- D. 52
Explanation: Let the original milk and water quantities be 4x litres and 5x litres. After adding 8 litres of milk, (4x + 8):5x = 6:5, so 4x + 8 = 6x…
Correct answer: 44- A. 5 : 6
- B. 3 : 4
- C. 7 : 8
- D. 8 : 9
Explanation: Using alligation, the quantities of rice at Rs. 6 per kg and Rs. 8.75 per kg are in the ratio (8.75 - 7.50):(7.50 - 6) = 1.25:1.50 = 5:6.
Correct answer: 5 : 6