Question
The area of a square field is 1250 sq m. How long in
seconds will a lady take to cross the field diagonally at the rate of 5 km/hr?Solution
Area of a square = 1/2 (D) 2 = 1250 where D is diagonal, So D 2 = 5000 So D = 50m So time taken by a lady to cover diagonal = Distance/speed = 50m/5kmph = 50m/{5×(5/18 m/s)} = 36 sec

If a + b + c = 12 and ab + bc + ca = 47, and a, b, c are real numbers, find the value of a³ + b³ + c³ − 3abc.
If a + `1/b` = 1 and b + `1/c` =1 , then the value of c + `1/a` is

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If
= 2 then find In a best-of-two chess match between Player X and Player Y, the probability that Player X wins a game is (5/9), and the probability that Player Y loses ...
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