All Free Mathematics MCQs with Answers

• A. 30
• B. 40
• C. 50
• D. 15

Explanation: The original supply is 40 soldier-days. During the first 10 days, 10 soldier-days are used, leaving 30 soldier-days; when the number of…

• A. 20
• B. 40
• C. 30
• D. none

Explanation: The provisions equal 40 people × 20 days = 800 person-days. The first 10 days use 400 person-days, and the next 10 days use 35 × 10 = 350…

• A. 50 days
• B. 90 days
• C. 65 days
• D. 55 days

Explanation: The total food represents 30 x 1 = 30 man-days in units of the original garrison's daily consumption.

• A. 45 days
• B. 35 days
• C. 70 days
• D. 80 days

Explanation: After 5 days, the food has 40 - 5 = 35 days of provision remaining for the original number of men.

• A. 12 days
• B. 5 days
• C. 9 days
• D. 6 days

Explanation: The original stock equals 500 men x 9 days = 4500 man-days. The first 3 days use 500 x 3 = 1500 man-days, leaving 3000 man-days; with 600…

• A. 8
• B. 7
• C. 6
• D. 5

Explanation: The spending rate is Rs. 850 ÷ (12 people x 10 days) = Rs. 850 ÷ 120 person-days. For 8 people to spend Rs. 340, the time is Rs.

• A. 5
• B. 6
• C. 4
• D. 10

Explanation: The provisions equal 500 people x 6 days = 3000 person-days. The first 2 days consume 500 x 2 = 1000 person-days, leaving 2000…

• A. 10
• B. 15
• C. 16
• D. 12

Explanation: The injections represent 80 patients x 15 days = 1200 patient-days. With 80 + 40 = 120 patients, they last 1200 ÷ 120 = 10 days.

• A. 90
• B. 72
• C. 36
• D. 108

Explanation: One field requires 18 cattle x 12 days = 216 cattle-days, so 3 fields require 3 x 216 = 648 cattle-days.

• A. 300
• B. 200
• C. 250
• D. 350Downloading Digital Educational Resources

Explanation: The consumption rate is 250 kg ÷ (25 men x 20 days) = 250 kg ÷ 500 man-days = 0.5 kg per man-day.

• A. 40
• B. 50
• C. 30
• D. 56

Explanation: The provisions equal 800 men x 50 days = 40,000 man-days. For 800 + 200 = 1000 men, the duration is 40,000 man-days ÷ 1000 men = 40 days.

• A. 15
• B. 12
• C. 10
• D. 20Finding Low Interest Personal Loans

Explanation: The food stock represents 1200 men x 10 days = 12,000 man-days. For 1000 men, it will last 12,000 man-days ÷ 1000 men = 12 days.

• A. 2 : 3 : 4
• B. 3 : 2 : 4
• C. 3: 2 : 1
• D. 3: 4 : 7

Explanation: Profit is shared according to capital multiplied by the time invested. The capital-time products are A: Rs.

• A. 4 months
• B. 5 months
• C. 6 months
• D. 8 months

Explanation: A's capital-time product for 12 months is Rs. 85,000 x 12 months = 1,020,000 Rs.-months.

• A. 7:6:10
• B. 12:15:16
• C. 42:45:56
• D. Cannot be determined
• E. None of these

Explanation: Ameen invests Rs. 70,000 for 36 months, giving Rs. 70,000 x 36 months = 2,520,000 Rs.-months. Rahim invests Rs.

• A. Rs. 7500
• B. Rs. 9000
• C. Rs. 9500
• D. Rs. 10,000
• E. None of these

Explanation: A contributes Rs. 20,000 x 24 months = 480,000 Rs.-months, B contributes Rs.

• A. Rs. 9423
• B. Rs. 10,250
• C. Rs. 12,500
• D. Rs. 14,000
• E. None of these

Explanation: Sameena's capital-time product is Rs. 50,000 x 36 months = 1,800,000 Rs.-months, while Nida's is Rs.

• A. Rs. 1883.78
• B. Rs. 2380
• C. Rs. 3690
• D. Rs. 3864

Explanation: Profit is divided according to capital multiplied by the time invested. Kamal's investment-time is Rs. 9000 x 12 = Rs.

• A. Rs. 10,500, Rs. 13,500, Rs. 16,500
• B. Rs. 11,500, Rs. 13,000, Rs. 16,000
• C. Rs. 11,000, Rs. 14,000, Rs. 15,500
• D. Rs. 11,500, Rs. 12,500, Rs. 16,500

Explanation: Since all three partners invest for the same period, their profit ratio is 35000:45000:55000 = 7:9:11. The total of 27 parts is Rs.

• A. Rs. 5400
• B. Rs. 7200
• C. Rs. 8400
• D. Rs. 9600

Explanation: Anees and Raees share the profit in the ratio of their capitals, 22500:35000 = 9:14. Raees therefore receives 14/23 of Rs.