Question
Two taps would fill a cistern in 18 and 24 minutes
respectively. Both tapsbeing opened find when the Ist tap must be turned off so that the cistern may be just filled in 12 minutes.Solution
AB 1824 72 43 Work done by pipe B in 12 min = 3 × 12 = 36 Remaining work = 72-36 = 36 Time taken by pipe A = 36/4 = 9 min So, the Pipe should be closed after 9 min.
(x – 6) 2 + (y + 2) 2 + (z – 4) 2 = 0, then find the value of 4x - 3y + z.
Given that x = 80, y = -35 and z = -45, Determine the value of [(x³ + y³ + z³)/10³]
If x + y + z = 20, x² + Y² + z² = 160 and x z = y², then find the value of x z?
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If x + y + xy = 118, such that x < y and both 'x' and 'y' are positive integers, then find minimum value of (x + y) .
If a + (1/a) = 2, then find the value of (a5 + a3 + 6)/(7a – 5).
(u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then find the value of 4u - v + w.
If x + y = 12 and x² + y² = 74, find xy.
Find the common factor of (x2 - 4x - 12) and (x2 - 14x - 32).
In Δ ABC, ∠ B= 68° and ∠ C 32°. Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠ DBC and ∠...
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