Bissoy.com
Doctors Medicines MCQs Q&A

The question below is followed by three statements I, II and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. What is the ratio of the volume of the cube to the volume of the cuboid? Statement I: The Total Surface Area of the cuboid is 550 cm2 and the ratio of the length, breadth and height of the cuboid is 2 : 3 : 1. Statement II: The Total Surface Area of the cube is 384 cm2. Statement III: The breadth of the cuboid is 1.5 times of the length of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 5 cm.

The question below is followed by three statements I, II and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. What is the ratio of the volume of the cube to the volume of the cuboid? Statement I: The Total Surface Area of the cuboid is 550 cm2 and the ratio of the length, breadth and height of the cuboid is 2 : 3 : 1. Statement II: The Total Surface Area of the cube is 384 cm2. Statement III: The breadth of the cuboid is 1.5 times of the length of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 5 cm. Correct Answer Either statement I or III and statement II are sufficient to answer the question.

Statement I:

Total Surface Area of cuboid = 2 (lb + bh + hl)

Let length = 2x, breadth = 3x, height = x

∴ 550 = 2 (3x × 2x + 3x × x + x × 2x)

⇒ 275 = (6x2 + 2x2 + 3x2)

⇒ 275 = 11x2

⇒ x2 = 25

⇒ x = 5

∴ Length = 10 cm, Breadth = 15 cm, Height = 5 cm

Volume = lbh

⇒ 10 × 15 × 5 = 750 cm3

Statement II:

Total Surface Area of cube = 6s2

∴ 384 = 6s2

⇒ s2 = 64

⇒ s = 8 cm

Volume of the cube = s3

⇒ 83 = 512 cm3

Statement III:

Let height of the cuboid = x cm, length = 2x, breadth = 3x

∴ Difference of height and length = 2x - x 

⇒ 5 = x

⇒ x = 5

∴ length = 10 cm, breadth = 15 cm, height = 5 cm

Volume of the cuboid = lbh

⇒ 10 × 15 × 5 = 750 cm3

∴ Either statement I or III and statement II are required to answer the question.

Related Questions

What is the ratio of the volume of a cuboid to the volume of a cube? Statement I. The ratio of the height, breadth, and length of the cuboid is 1 : 2 : 3 and the total surface area of the cuboid is 352 cm2. Statement II. The total surface area of the cube is given to be 384 cm2. Statement III. The length of the cuboid is 3 times the height of the cuboid and 1.5 times the breadth of the cuboid. The difference between the length and the height of the cuboid is 8 cm.
The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.  What is the ratio of the volume of the cube to the volume of the cuboid? I. The Total Surface Area of the cuboid is 352 cm2 and the ratio of the length, breadth and height of the cuboid is 3 : 2 : 1. II. The Total Surface Area of the cube is 726 cm2. III. The length of the cuboid is 1.5 times of the breadth of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 8 cm.
The question below is followed by statements I, II, and III. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The difference between the compound interest and simple interest on a certain sum at a certain rate of interest per annum for two years is 204.20. What is the amount received on the sum of compound interest at the same rate of interest at the end of three years. I. The difference between the compound interest and the simple interest on the sum for three years is 804.258. II. The sum becomes Rs. 14528 at the end of one year. III. The compound interest on the sum for two years is 7% more than the simple interest on the sum for two years.
The question below is followed by three statements I, II and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. How many runs Sachin scored against Kashmir? I. The difference between his score against Mumbai and against Delhi is equal to the difference between the score against Delhi and against Kashmir. II. The average run he scored against all three states Delhi, Kashmir and Mumbai is 100. III. He scored 25 runs more against Mumbai than Kashmir.
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. In an election there are three candidates A, B and C.What is the difference between the votes received by A and C if 15% of voters in the city didn't cast their vote? I A got 40% votes and got 7650 less votes than combined votes of B and C. Difference between the votes of B and C is 1850. B got more votes than C. II To win the election a candidate requires 33% of the total eligible votes and A won the election by 450 votes.
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. A cylinder of given radius 14 cm and volume 17,248 cm3. What is the height of cylinder? I. Volume of cylinder is πr2h. II. Height is 2 times of radius of a cylinder.
The question below is followed by two statements I, II and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. What is the total profit made by three partners – Amit, Rehan and Kashish? I. Ratio of time period is 1 : 2 : 4 II. Ratio of investment is 3 : 4 : 5 iii. Difference of profit between Amit and Rehan is Rs. 2000
Each question below is followed by two statements I, II, and III. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. An amount was distributed among Anirudh, Aravind, and adhitya. what is the share of Adhitya in total amount. I. The ratio of the shares of Anirudh and Aravind in the amount is 15: 19 II. The ratio of shares of Aravind and Adhitya in the amount  is 8: 15 III. The difference between the shares of Adhitya and Anirudh in the amount is Rs. 6,600.
Each question below is followed by three statements I, II and III. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. What is the sum of the present ages of Suresh and Mahesh? Statement I: Mahesh is 7 years elder than Suresh Statement II: 6 years before the ratio of ages of Suresh and Mahesh is 4 : 5 Statement III: Mahesh’s age after 10 years is 3 times half of the present age of Suresh.
Each question below is followed by three statements I, II, and III. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. At what time the train will reach Delhi? Statement I: The train crosses a tunnel of the length of 300 meters in 30 seconds. Statement II: The train leaves Jammu at 7 : 20 am for Delhi, situated at a distance of 520 km. Statement III: The train has a length of 200 meters.