Question
Pipes A and B can fill a tank in 12 minutes and 15
minutes, respectively, while outlet pipe C can empty the entire tank in 1 hour. All three pipes are open for 'x' minutes, after which pipe A and pipe C are closed. If the tank is completely filled in 10 minutes, find the value of 'x'.Solution
Let the total capacity of the tank be LCM of (12, 15 and 60) = 60 units Number of units of water filled by pipe A in one minute = 60/12 = 5 units Number of units of water filled by pipe B in one minute = 60/15 = 4 units Number of units of water emptied by pipe C in one minute = 60/60 = 1 unit According to question, (5 + 4 – 1)x + 4(10 – x) = 60 8x + 40 – 4x = 60 4x = 20, x = 5 So, the value of ‘x’ is 5 minutes.
√1764 + 35 × 8 + 39 = ?2
18% of 200 - 16% of 150 = ?
25% of 30% of 3/5 of 14500 =?
2(1/3) + 2(5/6) – 1(1/2) = ? – 6(1/6)
7/3 of 4/5 of 15/56 of ? = 83
What will come in place of the question mark (?) in the following expression?
40% of 150 – ?% of 80 = 25% of 400
555.05 + 55.50 + 5.55 + 5 +0.55 = ?
64.5% of 800 + 36.4% of 1500 = (?)² + 38
What will come in the place of question mark (?) in the given expression?
25% of 1280 + (41 × 4) = ?2
Simplify the following expression:
((32)4 - 1)/33×31× (210+1)
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