Question
Virat can do a piece of work in 18 days and Sachin can
do the same work in 27 days. If Virat works for 3 days and got Rs. 2700, and the remaining work will completed by Sachin, then how much rupee Sachin earned?Solution
Assume total work = LCM (18, 27) = 54 If the entire work is 54 units, Virat can complete 3 unit per day, and Sachin can complete 2 unit per days In 3 days, Virat completes 9 units and got Rs.2700 i.e. Rs.300 per unit. Remaining work = (54 – 9)unit = 45 unit ∴ Sachin earning = Rs.45 × 300 = Rs. 13500
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