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Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?
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In 6 seconds a light flashes once. In one hour how many times it will flash?
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A person gives a secret to two other persons in 5 minutes. How long will he take to tell the secret to 768 people?
A ship went on a voyage.After it had travelled 180 miles a plane statrted with 10 times the speed of the ship. An army 50 miles long marches at a constant rate. A courier standing at the rear moves forward and delivers the message to the first person and then turns back and reaches the rear of the army as the army completes 50 miles. Find the distance travelled by the courier.
Calculate the area of the triangle in square cm if a right angled triangle where the length of the shorter leg is one third of the length of its hypotenuse. And the length of the shorter leg is 7 cm.
Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Eugene finishes two places ahead of Chris in the first race, all of the following will be true EXCEPT: a) Bob finishes ahead of Don. b) Chris finishes two places ahead of Alan. c) Don finishes fourth. d) Bob finishes immediately behind Eugene. e) Chris finishes ahead of Bob. 2) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Don finishes third in the third race, which of the following must be true of that race? a) Alan finishes first. b) Eugene finishes first. c) Bob finishes second. d) Chris finishes second. e) Alan finishes fifth. 3) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Eugene's total for the six races is 36 points, which of the following must be true? a) Bob's total is more than 36 points. b) Chris's total is more than 36 points. c) Alan's total is 36 points. d) Don's total is less than 36 points. e) Don's total is 36 points. 4) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Alan finishes first only once, and Don finishes second exactly twice, the lowest total number of points that Bob can earn in the race is: a) 32 points. b) 38 points. c) 40 points. d) 44 points. e) 48 points. 5) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Alan finishes first in four races, which of the following could earn a total of fewer than 26 points in the six races? a) Bob only. b) Chris only. c) Don only. d) Eugene of Chris. e) Don or Chris. 6) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Frank enters the third race and finishes behind Chris and Don, which of the following must be true of that race? a) Eugene finishes first. b) Alan finishes sixth. c) Don finishes second. d) Frank finishes fifth. e) Chris finishes third.
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