A) Let’s assume the share of Mariam is x. Then, according to the given conditions:
Arham’s share = 2/3 x Sarim’s share = 4x
Total share = Arham’s share + Mariam’s share + Sarim’s share = 500
Substituting the values, we get:
2/3 x + x + 4x = 500 7x = 500 x = 71.43 (approx)
Arham’s share = 2/3 x = 47.62 (approx) Mariam’s share = x = 71.43 Sarim’s share = 4x = 285.72 (approx)
Therefore, Arham’s share is Rs. 47.62, Mariam’s share is Rs. 71.43, and Sarim’s share is Rs. 285.72.
B) Let’s assume there are x students in the school. Then, according to the given conditions:
Food provision for x students = 52 days Food provision for 400 students = 24 days
Using the formula “work = rate x time”, we can set up the following equation:
x(52) = (x + 400)(24)
Solving for x, we get:
x = 2400
Therefore, there are 2400 students in the school.
C) The man walks 2km towards North, then 10km towards East, then 3km towards North, and then 2km towards East.
This forms a right-angled triangle, where the two legs are 2km + 3km = 5km and 10km + 2km = 12km.
Using the Pythagorean theorem, we can find the hypotenuse, which is the distance from the starting point:
Hypotenuse = sqrt(5^2 + 12^2) = sqrt(169) = 13km
Therefore, the man is 13km away from the starting point.
D) Each letter of the word COMPUTER is shifted 2 positions to the right to get the corresponding letter in the code language. Using the same rule, we can write MEDICINE as:
M + 2 = O E + 2 = G D + 2 = F I + 2 = K C + 2 = E I + 2 = K N + 2 = P E + 2 = G
Therefore, MEDICINE is written as OGFKEKP.