CAT Question of the Day A survey was conducted on 1200 smartphone users on the factors that they consider important while buying a smartphone. 56% voted for price, 48% for display and 42% for battery-life. If 30% users voted for both price and display, what is the maximum number of people who voted only for battery-life? (Each user voted for at least one factor) OPTIONS | | | 1) | 288 | | 2) | 312 | | 3) | 504 | | 4) | 144 |
Tip of the Day If x = y(mod z) denotes that when x is divided by z, the remainder is y, then for integers a, b, c, … and a prime number, p,
(a + b + c + …)p = (ap + bp + cp + …)(mod p) Last year's Question of the day (12-Oct-12) Answer the question based on the passage given below.
In chapter 1 of Alice in Wonderland, "Down the Rabbit-Hole", in the midst of shrinking, Alice waxes philosophic concerning what final size she will end up as, perhaps "going out altogether, like a candle."; this pondering reflects the concept of a limit. In chapter 2, "The Pool of Tears", Alice tries to perform multiplication but produces some odd results: "Let me see: four times five is twelve, and four times six is thirteen, and four times seven is—oh dear! I shall never get to twenty at that rate!" This explores the representation of numbers using different bases and positional numeral systems: 4 x 5 = 12 in base 18 notation, 4 x 6 = 13 in base 21 notation, and 4 x 7 could be 14 in base 24 notation. Continuing this sequence, going up three bases each time, the result will continue to be less than 20 in the corresponding base notation. (After 19 the product would be 1A, then 1B, 1C, 1D, and so on.) Which of the following could be an appropriate title for the passage?
OPTIONS | | | 1) | The summaries of the first two chapters of Alice in Wonderland. | | 2) | Limits and bases in Alcice in Wonderland. | | 3) | Lewis Carroll's contributions to Mathematics through Alice in Wonderland. | | 4) | The representation of Mathematics in Alice in Wonderland. | | 5) | Alice in Wonderland by Lewis Carroll. |
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