Arithmetic Sufficiency

Q: What is the principal sum invested? I. The simple interest earned in 3 years is Rs. 1500. II. The rate of interest is 10% per annum.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Using SI = P * R * T / 100. Statement I provides SI and T. Statement II provides R. Neither is sufficient alone. Together: 1500 = P * 10 * 3 / 100 => P = Rs. 5000. Both are required.

Q: What is the rate of compound interest per annum? I. The principal doubles in 5 years. II. The interest is compounded annually.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Statement I says A = 2P, giving 2P = P(1 + R/100)^5. Without knowing it's compounded annually (Statement II), we cannot securely use the standard CI formula. Together, they are sufficient to find R.

Q: What is the difference between Compound Interest and Simple Interest on a sum for 2 years? I. The sum is Rs. 10,000. II. The rate of interest is 5% per annum.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). The formula for the 2-year difference is Difference = P(R/100)^2. Statement I provides P. Statement II provides R. Together: Difference = 10000 * (0.05)^2 = Rs. 25. Both are required.

Q: How long will it take for a sum of money to triple itself? I. The sum earns simple interest at 8% per annum. II. The sum is Rs. 5000.

Correct Answer: Option A (Statement I alone is sufficient, but Statement II alone is not.). For a sum to triple, SI = 2P. From Statement I: 2P = P * 8 * T / 100. The P cancels out, leaving T = 200/8 = 25 years. Statement I alone is sufficient. Statement II is unnecessary.

Q: What is the compound interest earned exactly in the second year? I. The principal is Rs. 8000 and the rate is 10% per annum. II. The total compound interest for 2 years is Rs. 16...

Correct Answer: Option A (Statement I alone is sufficient, but Statement II alone is not.). From I: 1st year CI = 10% of 8000 = 800. 2nd year CI = 800 + 10% of 800 = Rs. 880. Sufficient. From II: Total CI is 1680, but without P or R, we cannot deduce the split for the second year alone. Statement I alone is sufficient.

50 Questions

Practice Arithmetic Sufficiency questions with answers and step-by-step solutions. These problems are curated from recent campus placement test papers (TCS, Infosys, Wipro, Cognizant, Accenture) and competitive government exams (SSC CGL, Bank PO, RRB NTPC, UPSC).

Quick Mode: Practice Questions Timed Mock Test

Arithmetic Sufficiency: Directions & Problem Statements Shared for questions below

DirectionsSet 4: Simple & Compound Interest

Q16

What is the principal sum invested?
I. The simple interest earned in 3 years is Rs. 1500.
II. The rate of interest is 10% per annum.

medium

Q17

What is the rate of compound interest per annum?
I. The principal doubles in 5 years.
II. The interest is compounded annually.

medium

Q18

What is the difference between Compound Interest and Simple Interest on a sum for 2 years?
I. The sum is Rs. 10,000.
II. The rate of interest is 5% per annum.

medium

Q19

How long will it take for a sum of money to triple itself?
I. The sum earns simple interest at 8% per annum.
II. The sum is Rs. 5000.

medium

Q20

What is the compound interest earned exactly in the second year?
I. The principal is Rs. 8000 and the rate is 10% per annum.
II. The total compound interest for 2 years is Rs. 1680.

medium

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Arithmetic Sufficiency

What is the principal sum invested?
I. The simple interest earned in 3 years is Rs. 1500.
II. The rate of interest is 10% per annum.

Community Discussion & Shortcut Formulas

What is the rate of compound interest per annum?
I. The principal doubles in 5 years.
II. The interest is compounded annually.

Community Discussion & Shortcut Formulas

What is the difference between Compound Interest and Simple Interest on a sum for 2 years?
I. The sum is Rs. 10,000.
II. The rate of interest is 5% per annum.

Community Discussion & Shortcut Formulas

How long will it take for a sum of money to triple itself?
I. The sum earns simple interest at 8% per annum.
II. The sum is Rs. 5000.

Community Discussion & Shortcut Formulas

What is the compound interest earned exactly in the second year?
I. The principal is Rs. 8000 and the rate is 10% per annum.
II. The total compound interest for 2 years is Rs. 1680.

Community Discussion & Shortcut Formulas

Arithmetic Sufficiency

What is the principal sum invested? I. The simple interest earned in 3 years is Rs. 1500. II. The rate of interest is 10% per annum.

Community Discussion & Shortcut Formulas

What is the rate of compound interest per annum? I. The principal doubles in 5 years. II. The interest is compounded annually.

Community Discussion & Shortcut Formulas

What is the difference between Compound Interest and Simple Interest on a sum for 2 years? I. The sum is Rs. 10,000. II. The rate of interest is 5% per annum.

Community Discussion & Shortcut Formulas

How long will it take for a sum of money to triple itself? I. The sum earns simple interest at 8% per annum. II. The sum is Rs. 5000.

Community Discussion & Shortcut Formulas

What is the compound interest earned exactly in the second year? I. The principal is Rs. 8000 and the rate is 10% per annum. II. The total compound interest for 2 years is Rs. 1680.

Community Discussion & Shortcut Formulas

What is the principal sum invested?
I. The simple interest earned in 3 years is Rs. 1500.
II. The rate of interest is 10% per annum.

What is the rate of compound interest per annum?
I. The principal doubles in 5 years.
II. The interest is compounded annually.

What is the difference between Compound Interest and Simple Interest on a sum for 2 years?
I. The sum is Rs. 10,000.
II. The rate of interest is 5% per annum.

How long will it take for a sum of money to triple itself?
I. The sum earns simple interest at 8% per annum.
II. The sum is Rs. 5000.

What is the compound interest earned exactly in the second year?
I. The principal is Rs. 8000 and the rate is 10% per annum.
II. The total compound interest for 2 years is Rs. 1680.