The sum of a fraction and 3 times its reciprocal is $\frac{19}{4}$. What is the fraction?1). $\frac{3}{4}$2). $\frac{4}{3}$3). $\frac{5}{4}$4). $\frac{4}{5}$
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1. If a + b = 10 and ab = 24, then what is the value of $a^{3}+ b^{3}$?
2. If $\frac{14}{3} + \left(\frac{1}{2}\right)\left(x - \frac{7}{3}\right)$ = $-\frac{2x}{3}$, then the value of x is?
3. The amount received at 10% per annum Compound interest after 3 yrs is Rs 5324. What was the principal (in Rs)?
4. Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?
5. When a number is increased by 120, it becomes 130% of itself. What is the number?
6. A milkman buys milk at Rs 25 per litre and adds $\frac{1}{4}$ of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?
7. In the first 40 overs of a 50 over innings, the run rate was 4.8 runs/over. What is the required run rate in the remaining 10 overs to reach the target of 241 runs?
8. A bag has Rs.51.25 in the form of 2-rupee, 50-paise and 25-paise coins in the ratio of 3:5:7. What is the total number of 50-paise coins?
9. The cost price of an article is x. It is marked up by 150%. It is sold at Rs 600 after giving 40% discount. What is x (in Rs)?
10. Anil is twice as good as workman as Bimal and together they finish a piece of work in 9 days. In how many days will Anil alone finish the work?
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