Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?1). $\frac{3}{4}$2). $\frac{4}{3}$3). $\frac{4}{7}$4). $\frac{7}{4}$
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1. If $a^{3}+ b^{3}$ = 19 and ab = -6 , then what is the value of a + b?
2. If $\frac{\left[7\left(\frac{5x}{3} - \frac{3}{2}\right)\right]}{2}+\frac{3}{2}$= $\frac{1}{4}$, then what is the value of x?
3. The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?
4. Excluding stoppages, the speed of a bus is 72 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?
5. If 40% of x = y, then y% of 40 is same as _____ of x.
6. A trader had 960 kgs of rice. He sold a part of it at 20% profit and the rest at 8% profit, so that he made a total profit of 12%. How much rice (in kgs) did he sell at 8% profit?
7. What is the average of all numbers between 11 and 80 which are divisible by 6?
8. What is the fourth proportional to 72, 168 and 150?
9. At 10% discount the selling price of an article is Rs 4500, what is the selling price (in Rs) if the discount is 27.5%?
10. Area of 4 walls of a cuboid is 448 sq cm, its length is 18 cm and height is 8 cm. What is its breadth (in cm)?
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