Bissoy.com
Doctors Medicines MCQs Q&A

Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction ?

Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction ? Correct Answer 7/2

Given: Sum of four times a fraction and 7 times its reciprocal is 16.

Calculation: Let the fraction be 1/x

⇒ 4 × 1/x + 7x = 16

⇒ 4/x + 7x = 16

⇒ 4 + 7x2 = 16x

⇒ 7x2 - 16x + 4 = 0

⇒ 7x2 - 14x - 2x + 4 = 0

⇒ 7x (x - 2) - 2 (x - 2) = 0

⇒ (7x - 2) - (x - 2) = 0

⇒ x = 2/7

∴ the fraction 1/x = 7/2

Related Questions

Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
The difference between a fraction and its reciprocal is 9/11. If the cubes of both the fraction and its reciprocal are considered, then what will be the difference between them?
Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?
Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction?
For a number greater than one, the difference between itself and its reciprocal is 2% of the sum of itself and its reciprocal. By how much percentage (nearest to an integer) is the square of the number less than its cube?
Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?
The sum of a fraction and 10 times its reciprocal is 37/4. What is the fraction?
The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?
Sum of twice a fraction and 3 times its reciprocal is 29/3. What is the fraction?