Question
If all the digits of the number ‘49728635’ are
rearranged in ascending order within the number from right to left, then what will be the product of the third digit from the right end and third digit from the left end of the number so formed?Solution
4Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 5 9Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 2 Required product = 4 x 7 = 28.
I. 2p² - 11p + 12 = 0
II. 2q² - 17q + 36 = 0
- Determine the remainder when equation 4p³- 5p² + 2p + 1 is divided by (4p - 3).
I. 99x² + 161 x + 26 = 0
II. 26 y² + 161 y + 99 = 0
I. x2 - 4x – 21 = 0
II. y2 + 12y + 20 = 0
I. 3q² -29q +18 = 0
II. 9p² - 4 = 0
I. 8x2 - 2x – 15 = 0
II. 12y2 - 17y – 40 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 29x + 210 = 0
Equation 2: y² - 27y + 182 = 0
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
I. p2 +7p + 10 = 0 II. q2 - q – 6 = 0