Bissoy.com
Doctors Medicines MCQs Q&A

The price of Diamond is directly proportional to the square root of the weight of the diamond. If the cost of 169 grams of diamond is Rs. 6500. Then find the total cost when that diamond breaks into 2 parts having weights 144 grams and 25 grams.

The price of Diamond is directly proportional to the square root of the weight of the diamond. If the cost of 169 grams of diamond is Rs. 6500. Then find the total cost when that diamond breaks into 2 parts having weights 144 grams and 25 grams. Correct Answer Rs. 8500

GIVEN:

The price of Diamond is directly proportional to the square root of the weight of the diamond. If the cost of 169 grams of diamond is Rs. 6500.

CALCULATION:

Given:

Cost ∝ √weight

So,

Cost = k × √(weight)

6500 = k × √169

⇒ 6500 = k × 13

⇒ k = 500

So,

Cost of 144 gram piece

= 500 × √144

= 500 × 12

= Rs. 6000

And

Cost of 25 gram piece = 500 × √25

= 500 × 5

= Rs. 2500

Total price = 2500 + 6000 = Rs. 8500

Hence the correct answer is Rs. 8500

Related Questions

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. A bag contains some number of Diamond of 4 different colors (Red, Pink, blue and yellow). What is the total number of Diamond in the bag? I. If 5 Pink Diamond from the bag are replaced by Yellow Diamond, Then the ratio of probabilities of picking 2 yellow Diamond at a time to picking 3 Blue Diamond at a time becomes (1/116). II. The different between probabilities of picking 2 Red Diamonds at a time and probability of picking 2 Blue Diamonds at a time is (23/330). III. If a Diamond is picked from the bag, then there is 40% chance that it is a red Diamond. Probability of picking 2 Red Diamond from the bag is (26/165).
What is the condition for a tree to be weight balanced. where a is factor and n is a node? >= a*weight and weight >= a*weight. b) weight >= a*weight and weight >= a*weight. c) weight >= a*weight and weight >= a*weight. d) weight is a non zero
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
Consider the following statements: 1. If x is directly proportional to z and y is directly proportional to z, then (x2 - y2) is directly proportional to z2. 2. If x is inversely proportional to z and y is inversely proportional to z, then (xy) is inversely proportional to z2. Which of the above statements is/are correct?
The cost of diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1 ∶ 2 ∶ 3 ∶ 4. If the loss in total value of the diamond was Rs. 70000, what was the price of the original diamond? 
There are seven persons - A, B, C, D, E, F and G. They have different weights. The weight of second heaviest person is 185 kg and the weight of second lightest person is 85 kg. Sum of weight of C and D is 290 kg. Only Three persons have more weight than D. E is heavier than both F and G but F is not lightest. The weight of A is 250 kg. Sum of weight of F and G is 135 kg. B is heavier than both C and D but C is not lightest. The weight of D is 140 kg. The weight of E is obtained from removing weight of C from weight of A. Who is the Fourth lightest person? 
There are seven persons - A, B, C, D, E, F and G. They have different weights. The weight of second heaviest person is 185 kg and the weight of second lightest person is 85 kg. Sum of weight of C and D is 290 kg. Only Three persons have more weight than D. E is heavier than both F and G but F is not lightest. The weight of A is 250 kg. Sum of weight of F and G is 135 kg. B is heavier than both C and D but C is not lightest. The weight of D is 140 kg. The weight of E is obtained from removing weight of C from weight of A. Who is the fifth heaviest person? 
The length of vertical alloy pillar structure is dependent on its weight by a specified relation. The relation is directly proportional to the summation of weight and also proportional to the square root of its weight. If the length of vertical alloy pillar was 1320 m and 2880 m, when its weight was 400 kg and 900 kg respectively. Find the exact weight of 7800 m long vertical alloy pillar structure.
When subtracting the square root of the square root of 625 from the square root of the square root of 1296, which of the following number is square root of the difference?
Kamal weights twice as much as Momen. Momen's weight is 70% of Babu's weight. Dipu weights 50% of Lipu's weight . Lipu weights 180% of Kamal's weight. Who weights the least ?