If x : y = 5 : 1, then (4x2 – 22xy + 10y2) is equal to1). 4/52). 3/83). 04). 10
x/y = 5 ⇒ x = 5y
∴ 4x2 – 22xy + 10y2 put x = 5y in this equation
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1. The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
2. An established underworld don, Ibrahim Lala reduces the number of his goons in the ratio 8 : 9 and increases the wages in the ratio of 14 : 15 . Find in what ratio the wage bill is increased or decreased and find the difference in the amount of bill, if it was previously Rs 1890
3. The monthly salaries of A, B and C are in the ration 1: 2: 3. If C’s monthly salary is Rs. 1200 more than that of A, then what is B’s annual salary?
4. In a partnership between Anil and Mukesh, Anil’s capital is 2/7 of total and is invested for 2/3 year. If his share of the profit is 4/9 of the total, for how long is Mukesh’s capital in the business?
5. A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
6. A box contains 280 coins of one - rupee, 50- paise and 25- paise. The values of each kind of the coins are in the ratio of 8:4:3.Then the number of 50- paise coins is
7. If \(\frac{{a + b}}{{a - b}} = \frac{1}{2}\) then what is \(\frac{{{a^2} + {b^2}}}{{{a^2} - {b^2}}}\) ?b
8. Marks obtained by Tina in History are equal to 1/3rd of marks obtained by her in Arts. Total marks obtained by her in both the subjects is 160. How many marks did she secure in Arts?
9. If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
10. The duplicate ratio of 3:4 is?
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