Question
A train running with a speed of 117 km/hr can cross a
pole in 19 seconds and a platform in 23 seconds. Find the length of the platform.Solution
Speed of the train = 117 × (5/18) = 32.5 m/sec Length of the train = 32.5 × 19 = 617.5 metres Let the length of the platform be ‘x’ metres Therefore, 617.5 + x = 32.5 × 23 Or, x = 747.5 – 617.5 = 130 metres
Find the value of ‘x’ in the given expression:
(49/16)x × (64/343)x-1 = 4/7
If √k + (1/√k) = 8, then find the value of k + (1/k).
What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x² + x - 6)?
If, 4x + y = 10, and 2xy = 8, and 4x > y, then find the value of 64x³ – y³.
Evaluate (998)3 without multiplying directly.
If, ( a + b = 12 ) and ( a² + b² = 80 ), then find the value of (a³ + b³). Â
If n = 3 + √2, then find the value of (n + 1/n)².
 If f(x) = 3x² − 7x + 5, find f(2a) − 4f(a).
If 2x + y = 10 and 3x - 2y = 5, find the value of x + y.
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