Question
If the 5-digit number 505xy is divisible by 11 and 21,
then what is the value of (7x – 5y)?Solution
LCM (11, 21) = 231 By taking the largest 5-digit number 50599 and divide it by 231. 50599 = 231(divisor) x 219(Quotient) + 10(rem) 50599 = 50589 + 10 50599-10 = 50589 (completely divisible by 231) 50589 = 505xy (where x = 8, y = 9) Now the value of (7x - 5y), (7x5y) = 7x8-5x9 =56-45 = 11 The value of (7x - 5y) is 11.
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. 3x<...
I. 2x2 - 9 x + 9 = 0Â
II. 2y2 - 7 y + 3 = 0
I. 8x² - 74x + 165 = 0
II. 15y² - 38y + 24 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 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...
For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. 66x² - 49x + 9 = 0
II. 46y² - 37y - 30 = 0
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
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