Data Sufficiency 1
Practice and master this topic with our carefully crafted questions.
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
What is the rate of simple interest ?
I. The total interest earned was ₹ 4000.
II. The sum was invested for 4 years.
| We know that, R = |  |
100 x S.I. |  |
| P x T |
Now, I gives, S.I. = ₹ 4000.
II gives, T = 4 years.
But, P is unknown. So, we cannot find R.
So, given data is insufficient to get R.
Correct answer is (D).
The simple interest on a sum of money is ₹ 50. What is the sum?
I. The interest rate is 10% p.a.
II. The sum earned simple interest in 10 years.
Given : S.I. = ₹ 50.
I gives, R = 10% p.a.
II gives, T = 10 years.
| Sum = |
|
100 x S.I. | |
= ₹ | |
100 x 50 | |
= ₹ 50. |
| T x R | 10 x 10 |
Thus, I and II together give the answer.
Correct answer is (E).
What is the sum which earned interest?
I. The total simple interest was ₹ 7000 after 7 years.
II. The total of sum and simple interest was double of the sum after 5 years.
Let the sum be ₹x.
I gives, S.I. = ₹ 7000 and T = 7 years.
II gives, Sum + S.I. for 5 years = 2 x Sum
Sum = S.I. for 5 years.
Now, S.I. for 7 years = ₹ 7000.
| S.I. for 1 year = Rs. |
7000 | = ₹ 1000. |
| 7 |
Thus, I and II both are needed to get the answer.
Correct answer is (E).
What percentage of simple interest per annum did Anand pay to Deepak?
I. Anand borrowed ₹ 8000 from Deepak for four years.
II. Anand returned ₹ 8800 to Deepak at the end of two years and settled the loan.
Let the rate be R% p.a.
I gives, P = ₹ 8000 and T = 4 years.
II gives, S.I. = ₹ (8800 - 8000) = ₹ 800.
| R = |
|
100 x S.I. | |
= | |
100 x 800 | % |
= 2 | 1 | % p.a. |
| P x T | 8000 x 4 | 2 |
Thus, I and II both are needed to get the answer.
Correct answer is (E).
A man borrowed a total sum of ₹ 24000 from two moneylenders. For one loan, he paid interest @ 7 % p.a. and for the other 9% p.a. How much money did he borrow at each rate ?
I. The sum of the interest after one year was ₹ 2025.
II. The interest on one sum was twice that on the other.
Suppose he borrowed ₹ X at 7
% p.a.
and ₹ (24000 - X) at 9% p.a.
I gives, total interest = ₹ 2025.
(X x 1 x 15/2 x 1/100) + {(24000 - x) x 1 x 9/100}
= 2025.
This gives X.
II gives Interest on ₹ (24000 - X) = 2 x (interest on ₹ X)
(24000 - X ) x 9/100 x 1
= (2 x X x 15/2 x 1/100)
This give X.
Thus data in I as well as well as in II are sufficient to answer the question.
Correct answer is (C).