Question
Find the remainder when 7202 is divided by
100.Solution
ATQ, Note: 7² = 49, 7⁴ = 49² = 2401 ≡ 1 (mod 100). So 7⁴ ≡ 1 (mod 100). 202 = 4×50 + 2 7202 = (7⁴)50 × 7² ≡ 150 × 49 ≡ 49 (mod 100). Remainder = 49.
In a business, A invested Rs. 1600 more than that by B. After 7 months, A left the business. If at the end of the year, profit earned by B is equal to t...
Anuj and Bheem began a business by investing Rs. Z and Rs. (Z + 2,500), respectively. After operating together for 16 months, Anuj withdrew from the bus...
A and B entered into a business investing their capital in the ratio of 10:22, respectively and the respective ratio of time for which they made their i...
‘A’ and ‘B’ entered into a partnership by investing Rs. 9000 and Rs. 5200, respectively. If ‘A’ invested his sum for only 8 months and the t...
Mohan invested Rs. 100,000 in the garment business. After a few months, Sohan joined him with Rs. 40000. At the end of the year, the total profit was di...
Ravi and Rohit started a business in partnership. Ravi invested Rs. 15,000. Rohit left the business after 6 months. If at the end of the year, the profi...
Three friends A, B and C entered into partnership by investing Rs. 40X, Rs. (5X + 1500) and Rs. (5000 – 10X) respectively. The ratio of the time peri...
A and B together started a business by investing their capital in the ratio of 5:9, respectively and total amount invested by them together is Rs. 1820....
Riya and Sita started a business by investing Rs. ‘x’ and Rs. (x + 4,000), respectively. Four months later, Karan joined them by investing Rs. 12,00...
- X and Y invested Rs. 2,500 and Rs. 4,500 respectively in a startup. After 9 months, X exited, Y lowered his investment by Rs. 500, and Z entered the busine...
