CAT Question of the Day Call an integer n "good" if n can be written in the form of (a2 + 3b2), where a and b are both non-negative integers. We call n = a2 + 3b2 as the good representation of n.
For example, 7 is a good integer. 7 = 22 + 3 × 12 is its good representation.
Which of the following holds true?
| OPTIONS | | |  | 1) | If n1 and n2 are good, then n1 × n2 is good. | | | 2) | Every good integer has a unique good representation. | | | 3) | All odd good integers have unique good representations. | | | 4) | All even good integers have unique good representations. | | | 5) | More than one of the above is true |
Tip of the Day At times, in a reading comprehension question, the initial words of all or some of the options are same. This is done to increase the length of the options, thus making them difficult to interpret. The best workaround is to omit these common words and read only the uncommon part of the option. Last year's Question of the day (05-Mar-11) In a right triangle ABC with integer sides a, b, c we have 2a + b = c. How many such triangles exist?
| OPTIONS | | | | | 1) | 0 | | | 2) | 1 | | | 3) | 2 | | | 4) | More than 2. |
| 
Comments
Post a Comment