Question
Alok and Vinay can complete some work alone in 12 days
and 20 days respectively. Both of them started the work together but Vinay left the work 4 days before the completion. For how many days both of them have worked together?Solution
Let the total work be 60 units (LCM of 12 and 20) . Efficiency of Alok = (60/12) = 5 units/day Efficiency of Vinay = (60/20) = 3 units/day If Alok and Vishal worked together for 'N' days, then; (5 + 3) X N + (5 X 4) = 60 Or, 8N = 60 - 20 So, 'N' = (40/8) = 5
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 13x² - 60x + 47 = 0
Equation 2: 17y² - 80y + 63 = 0
I. x3 = 1728
II. y2 – 15y + 56 = 0
Quantity I: The cash price of a notebook is Rs. 100 but is can also be purchased on 11 monthly equal instalments of Rs. 10 each. Find rate of S.I.?
...Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 42x + 392 = 0
Equation 2: y² - 46y + 480 = 0
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. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
I. 4 x ² - 4 x + 1 = 0                              Â
II. 4 y ² + 4 y  + 1 = 0
...I. (4x-5)3Â +Â 1/(4x-5)3Â = 2
II. 2[(y+1/y)2- 2]- 9(y+1/y)= -14
l). p² - 26p + 153 = 0
ll). q² - 17q + 72 = 0
I. 2x2 + 13x + 21 = 0
II. 3y2 + 34y + 63 = 0
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