CAT Question of the Day In the given figure, AB = AC, ∠ABC = 30° and AD is perpendicular to BC. Let O be a point on BC such that OD = k × AD for some real number k > 0. Now we join BO and extend till P such that OP = BO – 2OD. Find ∠PCB in terms of k.  | OPTIONS | | |  | 1) |  | | | 2) |  | | | 3) |  | | | 4) |  | | | 5) | None of these |
Tip of the Day To see whether a number is prime or not one needs to check whether it is divisible by the prime numbers 2, 3, 5, 7 up to the prime number less than or equal to the square root of the number itself. For example, to check whether 997 is a prime number one needs to check its divisibility with the prime numbers 2, 3, 5, 7 .... to 31. Last year's Question of the day (22-Aug-11) There are three integers a, b and c such that  Do a, b and c form a geometric progression? - x, y and z are in A.P.
- x, y and z are in H.P.
| OPTIONS | | | | | 1) | The question can be answered by one of the statements, but not by the other. | | | 2) | The question can be answered by using either statement, independently of the other. | | | 3) | The question can be answered by using both statements together, but not by either statement alone. | | | 4) | The question cannot be answered by either of the statements. |
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