Seven piano students—A, B, C, D, E, F, and G—are to give a performance, and their instructor is deciding the order in which they will perform. Each student will play exactly one piece, an instrumental solo. In deciding the order of performance, the instructor must observe the following restrictions: E cannot play first or second. D cannot play until E has played. Neither A nor F can play seventh. Either F or G must play immediately after D plays. C must play either immediately after or immediately before B plays.
If C plays first, which one of the following must be true?
If B plays third, what is the latest position in which F can play?
From a group of seven people—A, B, C, D, E, F, and G—exactly four will be selected to attend a diplomat’s retirement dinner. Selection conforms to the following conditions: Either A or B must be selected, but A and B cannot both be selected. Either E or F must be selected, but E and F cannot both be selected. E cannot be selected unless C is selected. G cannot be selected unless B is selected.
If F is not selected to attend the retirement dinner, then exactly how many different groups of four are there each of which would be an acceptable selection?
There is only one acceptable group of four that can be selected to attend the retirement dinner if which one of the following pairs of people is selected?
The prices of petrol and diesel in the domestic market have remained unchanged for the past few months. The crude oil prices in the international market have gone up substantially in the last few months.
Statement: Severe drought is reported to have set in several parts of the country. Courses of Action: Government should immediately make arrangements for providing financial assistance to those affected. Food, water and fodder should immediately be sent to all these areas to save the people and cattle.
Statement: Since its launching in 1981, Vayudoot has so far accumulated losses amounting to Rs 153 crore. Courses of Action: Vayudoot should be directed to reduce wasteful expenditure and to increase passenger fare. An amount of about Rs 300 crore should be provided to Vayudoot to make the airliner economically viable.
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