Question
P gave out 'a' cookies to Q, R, S, and T. The cookies
received by Q and S are in a 4:7 ratio, and those received by R and T are in a 2:3 ratio. If R received 50% more cookies than Q and S received 18 fewer cookies than T, what is the value of 'a'?Solution
ATQ, Let the number of cookies received by Q and S are 4p and 7p respectively. So the number of cookies received by R = 4p × 1.50 = 6p Number of cookies received by T = 6p × 3/2 = 9p According to question: 9p – 7p = 18 2p = 18 p = 9 So the value of ‘a’ = 9 × (4 + 7 + 6 + 9) = 9 × 26 = 234
I. 15y2 + 26y + 8 = 0
II. 20x2 + 7x – 6 = 0
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
- If the quadratic equation x² + 18x + n = 0 has real and equal roots, what is the value of n?
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. 4x2 + 3√7 x-7 =0
II. 7y2 + 4√7 y-5=0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 11x² - 93x + 88 = 0
Equation 2: 13y² + 118y + 93 = 0
I. 5x² - 28x + 39 = 0
II. 2y² - 13y + 20 = 0
I. 4x2 + 9x - 9 = 0
II. 4y2 - 19y + 12 = 0
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