Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than Ajit, then who among them is the shortest?
Options:
(A) Nitin
(B) Sukhbir
(C) Manoj
(D) Data inadequate
(E) None of these
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Data Inadequate. As No relation is given among Randhir and Nitin. So the answer is: (D).
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John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
(A) 1
(B) 3
(C) 5
(D) 6
(E) 9
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If he draws any combination of 3 socks he will definitely have the matching pair of either colour. So the answer is: (A).
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Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
Options:
(A) 9
(B) 7
(C) 6
(D) 5
(E) 4
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Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1. x(2/75 + 1/45) + (30 - x). 2/75 = 1 11x/225 + (60 - 2x)/75 = 1 11x + 180 - 6x = 225. x = 9. So the answer is: (A).
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