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(#M40038482) GATE QUESTION Time and Work Keep an EYE

Two friends A and B working together completed a work in 26 days. Their skills of doing the work are in the ratio 8:5. How many days will B take, if engaged alone?
(a) 10 days
(b) 16 days
(c) 12 days
(d) 18 days

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038549) GATE QUESTION Number System Keep an EYE

A certain number when successively divided by 5 and 7 leaves the remainders 3 and 4 respectively. What is the remainder, if the same number is divided by 35?
(a)21
(b)23
(c)24
(d)29

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038486) GATE QUESTION Time and Work Keep an EYE

Six pipes are fitted to a water tank. Some of theses are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9h and each outlet pipe can empty the tank in 6h. On opening all the pipes, an empty tank is filled in 9h. The number of inlet pipes is
(a) 2
(b) 4
(c) 3
(d) 5

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038550) GATE QUESTION Number System Keep an EYE

Four wheels moving 12, 25, 20 and 30 revolutions in a minute starting at a certain point on the circumference downwards. After what interval of time will they come together again in the same position?
(a)30s
(b)20s
(c)15s
(d)45s

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038548) GATE QUESTION Number System Keep an EYE

What is the remainder when 75^3 is divided by 4?

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038552) GATE QUESTION Number System Keep an EYE

The number zero (0) is surrounded by the same 2 digit number on both(left and right) sides: for example 25025, 67067 etc. The largest number that always divides such a number is
(a)7
(b)11
(c)13
(d)1001

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038551) GATE QUESTION Number System Keep an EYE

Which among the following is the least number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7, when divided by 7 leaves a remainder of 6, when divided by 6 leaves a remainder of 5, when divided by 5 leaves a remainder of 4, when divided by 4 leaves a remainder of 3, when divided by 3 leaves a remainder of 2, when divided by 2 leaves a remainder of 1?
(a)7559
(b)839
(c)5039
(d)None of these

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038485) GATE QUESTION Time and Work Keep an EYE

Two coal loading machines each working 12h/day for 8days handle 9000tonnes of coal with an efficiency of 90%, while 3 other coal loading machines at an efficiency of 80% are set to handle 12000tonnes of coal in 6days. Find how many hours per day each should work?
(a) 20h/day
(b) 18h/day
(c) 16h/day
(d) 14h/day

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038483) GATE QUESTION Time and Work Keep an EYE

A cistern has a leak which would empty it in 10h. A tap is turned on which admits 4 L a minute into the cistern and it is now emptied in 15h. How many litres does the cistern hold?
(a) 7400 L
(b) 7200 L
(c) 7100 L
(d) 7500 L

Asked In Gate Swechchha Agarwal (11 years ago)

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(#M40038467) GATE QUESTION Time, Speed & Distance Keep an EYE

A man can walk up a moving "up" escalator in 30s. The same man can walk down this moving "up" escalator in 90s. Assume that his walking speed is same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving?
(a) 30s
(b) 45s
(c) 60s
(d) 90s

Asked In Gate Swechchha Agarwal (11 years ago)

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