Question : If $\frac{1}{2} $ is added to a number and the sum is multiplied by 3, the result is 21. Then the number is:
Option 1: 6.5
Option 2: 5.5
Option 3: 4.5
Option 4: –6.5
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Correct Answer: 6.5
Solution : Let the number be $x$. According to the question, $(x + \frac{1}{2})\times 3=21$ ⇒ $(x + \frac{1}{2}) =\frac{21}{3}=7$ ⇒ $x =7- \frac{1}{2}$ $\therefore x =6.5$ Hence, the correct answer is 6.5.
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Question : 7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?
Question : The smallest fraction which should be added to the sum of $2\frac{1}{2}, 3\frac{1}{3}, 4\frac{1}{4}$ and $5\frac{1}{5}$ to make the result a whole number is:
Question : If $(x-\frac{1}{3x})=\frac{1}{3}$, then the value of $3(x-\frac{1}{3x})$ is:
Question : If $(a+\frac{1}{a})=–2$, then the value of $a^{1000}+a^{–1000}$ is:
Question : If the sum of a number and its reciprocal is 2. Then the number is:
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