Level 2- Data Sufficiency Practice Quiz -4 Medium

Directions: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

What will be the cost of painting the four walls and ceiling of a room with length, width and height of 10 m, 15 m, and 20 m respectively? The room has two windows and one door.

Statement I : Cost of painting is Rs. 7 per square meter.

Statement II : Area of the ground of the room is 150 sq. meter.

Statement III : Area of one window is 15 sq. meter which is 50% of the area of the door.

A The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.

 

B The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.

C The data in statement I, II and III together are not sufficient to answer the question.

D The data in statement only I and II together or only statement III are sufficient.

E The data in all the statements I, II and III together are necessary to answer the question.

C

In the room two window and one door are there. From the statement III, we can conclude that the area of one window was 15sq. cm but we cannot find the area of the other window so we would not get our answer even by using all the statements.

Hence, option C is correct.

 

2. What is the rate of the compound interest?
Statement I : A sum of 1000, amounts to 1331 at the rate of compound interest
Statement II : The amount was invested for the period of three years
Statement III : The simple interest received on that amount in one year is equal to the compound interest received on that amount in the first year.

 

A The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.

 

B The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.

C The data in statement I, II and III together are not sufficient to answer the question.

D The data in statement only I and II together or only statement III are sufficient.

E The data in all the statements I, II and III together are necessary to answer the question.

A

From the statement I :  P = 1000 and A = 1331 so interest will become 1331-1000 = 331
 
From statement II : Time = 3 years but we could not conclude that the rate of interest was compounded annually or half-yearly.
 
From statement III : we can conclude that the rate of interest was compounded annually because the simple interest of one year will be equal to the

compound interest of the first year only if the rate of interest is compounded annually. 
 

Now P = 1000, CI = 331 time =3 years and rate of interest is compounded annually so we can easily find the rate of interest. 
 
So, all the statements are needed to get our answer.
Hence, option E is correct.
3. Can Ram drive from Bangalore to Chennai in less than 3 hours?

Statement I : The average speed of Ram during the whole journey is less than 70 km/hr

Statement II : The distance from Bangalore to Chennai is greater than 210 km.

Statement III : He is driving a car the maximum speed of that can is 150 km/hr

 

A The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.

 

B The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.

C The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.

D The data in statement only I and II together or only statement III are sufficient.

E The data in all the statements I, II and III together are necessary to answer the question.

B
From the Statement I, speed is less than 70 km/hr and from the Statement II, distance is more than 210 km so it is clear that he could not drive from Bangalore to Chennai in less than 3 hours. So Statement I and Statement II are needed to get our answer.

In Statement III he can drive up to the speed of 150 km/hr but he drove at the speed of less than 70 km/hr so this statement is insufficient to get our answer.

Hence, option B is correct.

 

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