CAT Question of the Day A scientist is trying to make a new alloy of copper and zinc called Zincopper. The ratio of copper to zinc in Zincopper is 3 : 5. He has three alloys of copper and zinc: alloy 1, alloy 2 and alloy 3 having ratio of copper to zinc as 2 : 1, 2 : 3 and 1 : 2 respectively. He takes 1 kg of alloy 1, 2 kg of alloy 2 and 4 kg of alloy 3 and melts them together to make Zincopper but he finds that he won't get Zincopper. He does some quick calculations and adds some amount of one of the alloys to the mixture so that he will get least possible weight of Zincopper. What is the weight of Zincopper that he made?
| OPTIONS | | |  | 1) | 7.2 kg | | | 2) | 11.2 kg | | | 3) | 11.2 kg | | | 4) | 24.4 kg | | | 5) | None of these |
Tip of the Day If p is a prime number and a, b are two integers less than p, then,
ap - 2 + ap - 3 b + ap - 4 b2 + … + bp - 2 is a multiple of p. Last year's Question of the day (12-Jul-12) Answer the question based on the passage given below.
Alice is then called up as a witness. She accidentally knocks over the jury box with the animals inside them and the King orders the animals be placed back into their seats before the trial continues. The King and Queen order Alice to be gone, citing Rule 42 ("All persons more than a mile high to leave the court"), but Alice disputes their judgement and refuses to leave. She argues with the King and Queen of Hearts over the ridiculous proceedings, eventually refusing to hold her tongue. The Queen shouts her familiar "Off with her head!" but Alice is unafraid, calling them out as just a pack of cards; just as they start to swarm over her. Alice's sister wakes her up for tea, brushing what turns out to be some leaves and not a shower of playing cards from Alice's face. Alice leaves her sister on the bank to imagine all the curious happenings for herself.
What can we conclude about the passage?
| OPTIONS | | | | | 1) | The passage is extracted from nonsense literature. | | | 2) | The passage is the summary of a short story. | | | 3) | The events in the passage are part of Alice's dreams. | | | 4) | The events in the passage are all real and are a part of history. | | | 5) | The passage is an extract from a court case. |
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