Bissoy.com
Doctors Medicines MCQs Q&A

An artist has completed one-fourth of a rectangular oil painting. When he paint another 100 square centimetres of the painting, he would complete three-quarters of the painting. If the height of the oil painting is 10 cm, determine the length (in cm) of the oil panting.

An artist has completed one-fourth of a rectangular oil painting. When he paint another 100 square centimetres of the painting, he would complete three-quarters of the painting. If the height of the oil painting is 10 cm, determine the length (in cm) of the oil panting. Correct Answer 20 cm

Let the area of the whole painting be x cm2
Then,
$$\eqalign{ & \Rightarrow \frac{1}{4}x + 100 = \frac{3}{4}x \cr & \Rightarrow \frac{1}{2}x = 100 \cr & \Rightarrow x = 200 \cr} $$
∴ Area of painting = 200 cm2
And, Height = 10 cm
Length of painting :
$$\eqalign{ & = \left( {\frac{{200}}{{10}}} \right)cm \cr & = 20\,\,cm \cr} $$

Related Questions

An oil painting by late Chinese-French artist Zao Wou-Ki became the most expensive oil painting ever sold at auction by an Asian artist. The painting fetched $65 million in the auction at Sotheby’s Hong Kong. Which of the following do not support the statement? I: The oil painting by late Chinese-French artist became the most expensive oil painting ever sold at auction. II: The auction at Sotheby’s Hong Kong on the painting fetched $65 million which is the highest till date for any artist. III: Zao Wou-Ki was an Asian artist who ever sold the most expensive oil painting.
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
Four paint brushes-A, B, C and D are used to paint or distort a sheet. A is twice as fast as B, C is twice as fast as D and B is 3/2 as fast as C. A distorts (1/8)th of the sheet, B distorts (1/4)th, C paints (3/8)th and D paints the rest. Only one paint brush can work at a time. It takes a total of 120 hours to paint the sheet. What is the time taken by C and D to paint the sheet?
A rectangular field has 4 cm length and 3 cm width. From the corner of this field, a small square of side 1 cm is cut off. What will be the ratio of the length of the boundary of the rectangular field before cutting square and length of the boundary of the rectangular field after cutting square?  
There is a rectangular field which is 12 m long and 8 m wide. A takes the contract to paint it at the rate of Rs 45 per square meter. He gives the contract to another contractor B to paint it at the rate of Rs 40 per square meter. If the total cost of painting is Rs. 3456. Then, find the ratio of A’s profit% to B’s profit%
The selling price of plot is directly proportional to the square of area of plot in m2. If the cost price of square shaped plot is Rs. 50000 and the profit percent of a dealer is 25% on selling square shaped plot then find the cost price of rectangular shaped plot if the dealer gains 50% on selling of rectangular plot where the length and breadth of rectangular plot is 30 m and 20 m while the side length of square plot is 20 m.
The perimeter of a rectangular field is fourth times of the perimeter of a square field. The ratio of the length of the rectangular field to the side of the square field is 6:1 and the diagonal of the square is 5√2 cm. Then, the area of the square field is what percentage of the area of the rectangular field?
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?
A brand of paint costs Tk. 14 per liter and 1 liter of paint will cover an area of 150 square feet. what is the minimum cost of paint needed to cover the 4 walls of a rectangular room that ix 12 feet wide, 16 feet long and 8 feet high?
A brand of paint costs Tk. 14 per liter, and 1 liter of paint will cover an area of 150 square feet. What is the minimum cost of paint needed to cover the 4 walls of a rectangular room that is 12 feet wide, 16 feet long and 8 feet high?