# Level 2- Data Sufficiency Practice Quiz -5 Medium

#### How much amount Rina will get at the end of two years if the rate of interest is compounded annually?

Statement I : Rohan invests the same of amount of money under simple interest at the rate of 10% per annum and receives a total amount of Rs.1560 at the end of 3 years.

Statement II : The difference between the simple interest and compound interest on the same sum of money at the same rate of interest at the end of 2 years is Rs 12.

A The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C Either Statement I or Statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

E
From the statement I, we can conclude the sum of money Rina had invested but nowhere it is mentioned the rate of interest Rina had invested her money. Therefore we can not reach the answer by the statement alone.

From statement II, the Difference between CI and SI is Rs.12  at the end of 2 years. But as the principal is not given here, we can’t deduce the rate of interest using statement II alone.

But, from the statement I, we concluded the sum of money and to this statement, we can conclude the rate of interest.

Therefore, if we combine statement I and statement II then we can conclude that the rate of interest was 10% per annum and the sum of money was Rs. 1200 now we can calculate the amount Rina will receive al the end of 2 years

Therefore, the data in both the statements I and II together are necessary to answer the question

Hence, option E is correct.

2. How much time train P will take to cover a distance of 532 km?

Statement I : The ratio of speed at which train P and train Q runs is 4 : 5 respectively

Statement II : The average speed of the train P and train Q is 400/9 km per hour?

A The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C Either Statement I or Statement II alone is sufficient to answer the question.

D The data in both the statements I and II is not sufficient to answer the question.

E The data in both the statements I and II together is necessary to answer the question.

E

In the question, the distance is given.

In the statement I, the ratio of speed is given.

From the statement I we can conclude that P’s speed : Q’s speed = 4 : 5  but we cannt find out speed of individual trains.

In statement II the average speed of both the trains is given so we cannot find out speed of individual trains.

If we combine statement I with statement II, then we can get as P’s speed = 40 km per hr Q’s speed = 50 km per hr

Therefore, the data in both the statements I and II is necessary to answer the question.

Hence, option E is correct.

3. A person can purchase three articles in Rs. 49. What is the price of costliest article?

Statement I : The cost price of two articles each is Rs. 1 less than the cost price of costliest article.

Statement II : The cost price of two articles is same.

Statement III:  The cost price of costliest article is 6.25% more than the cost price of cheapest article.

A Either statement I alone or statements II and III together are sufficient.

B Only statement III is sufficient.

C Only statement I and II together are sufficient.

D Only statement I and III together are sufficient.

E None of these

A

From the Statement I

Let the CP of each of two cheapest articles = x and the CP of costliest article = x + 1

Then, x + x + x + 1 = 49,

x = 16 therefore the CP of costliest article = 16 + 1 = 17

From the Statement II, we can say that the cost price of two articles is same and from Statement III, we can say that the cost price of costliest article is 6.25% more than the cost price of cheapest article therefore by combining both the statement we can also get our answer.

Hence, option A is correct.