Banker's Discount = (2000 * 15 * 4/12) / 100 = Rs. 100.

Bankers Discount = (10000 × 5 × 4) / 100 = $2000.

CI = A - P; A = P(1 + r)^n = 1200(1 + 0.09)^3 = 1200(1.295029) = $1554.03, CI = 1554.03 - 1200 = $354.03.

Compound Interest = 5000(1 + 0.06)^4 - 5000 = 5000(1.26247696) - 5000 = 1312.38

Compound Interest = 8000(1 + 0.05)^2 - 8000 = 8000(1.1025) - 8000 = 820.00

2025 is not a leap year, so it has 365 days. 365 days = 52 weeks + 1 day. Therefore, December 31, 2025 will be one day after Wednesday, which is Thursday.

January 1, 2024 is a Monday. February 29, 2024 is 59 days from January 1, which is 8 weeks and 3 days. Therefore, it will be a Thursday.

From January 1 to March 1, there are 59 days (31 days in January + 28 days in February). 59 days = 8 weeks + 3 days. Wednesday + 3 days = Saturday.

5 divided by 8 equals 0.625.

Face Value = BD / (Rate × Time) = 300 / (0.10 × 0.5) = Rs. 6000.

Face Value = BD / (Rate × Time) = 500 / (10 × 0.5) = Rs. 5000.

The GCD of 24 and 36 can be found by listing the factors: 24 = 2^3 * 3, 36 = 2^2 * 3^2. The GCD is 2^2 * 3 = 12.

The LCM of two numbers is found by taking the highest power of each prime factor. The prime factorization of 12 is 2^2 * 3 and for 15 is 3 * 5. Thus, LCM = 2^2 * 3 * 5 = 60.

Maturity Value = Principal + BD = 1000 + 20 = $1020

Present Value = Face Value - BD = 10000 - 800 = Rs. 9200.

Bankers Discount = (20000 × 9 × 3) / 100 = $5400. Present Value = 20000 - 5400 = $14600.

The first 4 prime numbers are 2, 3, 5, and 7. Their product is 2 * 3 * 5 * 7 = 210.

The first 5 prime numbers are 2, 3, 5, 7, and 11. Their product is 2 * 3 * 5 * 7 * 11 = 2310.

The first three prime numbers are 2, 3, and 5. Their product is 2 * 3 * 5 = 30.

The square root of 144 is 12, since 12 * 12 = 144.

The sum of the first n natural numbers is given by the formula n(n + 1)/2. For n = 10, the sum is 10(10 + 1)/2 = 10 * 11 / 2 = 55.

The time difference is 4:15 PM - 2:30 PM = 1 hour 45 minutes.

The minute hand at 6 indicates 30 minutes. Therefore, the time is 2:30.

2020 is a leap year, so there are 366 days from January 1, 2020 to December 31, 2020.

True Discount = Banker's Discount × (Time / (Time + 1)) = 1000 × (1 / (1 + 1)) = Rs. 500.

True Discount = Banker's Discount × (Time / (Time + 1)) = 3000 × (2 / (2 + 1)) = Rs. 2000.

True Discount = Banker's Discount * (Time / (Time + 1)) = 125 * (3/12) = Rs. 31.25.

Calculating 7^2 = 49 and 3^2 = 9. Therefore, 49 + 9 = 58.

log10(0.01) = log10(10^-2) = -2.

log10(1) = 0 because 10^0 = 1.