Quantitative Aptitude

Data Sufficiency 2

Quantitative Aptitude Exercise Mode

Data Sufficiency 2

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2 Questions
3 Minutes
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QUEST ? !
Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

Question 1

What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is ₹ 400.

III. Simple interest earned per annum is ₹ 2000.

A
I only
B
II and III only
C
All I, II and III
D
Any two of the three
E
I only or II and III only
Correct Answer: Option E

  I. P x R x 5 = P         R = 20.
100

 II. P 1 + R 2 - P - P x R x 2 = 400     
100 100

⇒ PR2 = 4000000.

III. P x R x 1 = 2000         PR = 200000.
100

PR2 = 4000000         R = 20.
PR 200000

Thus I only or (II and III) give answer.

∴ Correct answer is (E).

Question 2

What will be the compound interest earned on an amount of ₹ 5000 in 2 years?

I. 

The simple interest on the same amount at the same rate of interest in 5 years is ₹ 2000.

II. 

The compound interest and the simple interest earned in one year is the same.

 III. 

The amount becomed more than double on compound interest in 10 years.

A
I only
B
I and II only
C
II and III only
D
I and III only
E
None of these
Correct Answer: Option A

P = Rs. 5000 & T = 2 years.

I. S.I. on Rs. 5000 in 5 years is Rs. 2000.

   5000 x R x 5 = 2000     ⇒     R = 8.
100

Thus I only gives the answer.

∴ Correct answer is (A).