Question
A number is 2/5 more than 33 times its reciprocal. What is
the number?Solution
ATQ,
Let the number be x.
x – 33/x = 2/5
⇒ (x² – 33)/x = 2/5
Cross-multiplying:
5x² – 165 = 2x
⇒ 5x² – 2x – 165 = 0
Factorizing:
5x² – 25x + 23x – 165 = 0
5x(x – 5) + 33(x – 5) = 0
(5x + 33)(x – 5) = 0
So, x = –33/5 or x = 5
What does 'A' in ANSI stand for ____________.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 2x² - 10x + 12 = 0
Equation 2: 4y² - 16y + 15 = 0
315 people went to a park. The number of men is 25 more than the number of women and the number of adults is 15 more than the number of children. How ma...
A person borrows ₹5000 at 12% per annum simple interest. He repays ₹3200 at the end of 2 years. How much does he still owe after 2 years?
In a right triangle, the hypotenuse is 13 cm and one leg is 5 cm. What is the radius of the circle inscribed in the triangle?Â
If 15 men can complete a work in 24 days, how many days will it take 10 men to complete the same work?
A ladder leaning against a wall makes an angle of 60° with the ground. If the ladder is 10 meters long, how high up the wall does it reach?
A trader buys 400 shares of a company at Rs. 80 each, paying 1% brokerage on the purchase value. The company declares a dividend of 12% on the face valu...
The profit earned by selling a shirt for ₹500 is equal to the loss incurred by selling it for ₹400. Find the cost price of the shirt.
