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Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT PDF Download

Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMATQ1. A principal of $9,000 is invested at an annual interest rate of 5%, compounded quarterly. What is the interest earned after 1 year?
A) $450
B) $456
C) $461
D) $459
E) $471

Ans: D) $459

Explanation:
Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT

Q2.  A principal of $3,000 grows to $3,499.20 after 2 years at an annual compound interest rate, compounded annually. What is the annual interest rate?
A) 6%
B) 7%
C) 8%
D) 9%
E) 10%

Ans: C) 8%

Explanation:

Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT

Q3. A sum of $20,000 is invested at a simple interest rate of 3% per year. What is the total amount (principal + interest) after 4 years?
A) $21,200
B) $22,000
C) $22,400
D) $22,800
E) $23,200

Ans: C) $22,400

Explanation:
Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT

Q4. An investment earns $1,800 in simple interest over 3 years at an annual rate of 4%. What was the principal amount?
A) $13,000
B) $14,000
C) $15,000
D) $16,000
E) $17,000

Ans: C) $15,000

Explanation:
Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT

Q5. A principal of $8,000 is invested at an annual interest rate of 6.15%, compounded once per year. What is the interest earned after 1 year?
A) $480
B) $486
C) $489
D) $492
E) $495

Ans: D) $492

Explanation:
Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT

Q6. A $4,000 principal grows to $4,764.06 at 6% compound interest, compounded annually. How many years did it take?
A) 2
B) 3
C) 4
D) 5
E) 6

Ans: B) 3

Explanation:
Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT

Q7. Jane invested a sum in a bank that paid simple interest. The amount grew to $360 after 2 years, and she received $540 after 5 more years. What was the principal amount?
A) $257
B) $246
C) $288
D) $320
E) $472

Ans: C) $288

Explanation:
Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT

Q8. Mark invested $8,000 for 2 years at 5% interest. One account used simple interest, the other compound interest annually. How much more interest from the compound?
A) $20
B) $25
C) $30
D) $35
E) $40

Ans: A) $20

Explanation:
Sample Previous Year Questions: Simple Interest and Compound Interest | Quantitative for GMAT

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FAQs on Sample Previous Year Questions: Simple Interest and Compound Interest - Quantitative for GMAT

1. What is the formula for calculating simple interest?
Ans.The formula for calculating simple interest is I = P × r × t, where I represents the interest, P is the principal amount, r is the rate of interest (as a decimal), and t is the time period in years.
2. How does compound interest differ from simple interest?
Ans.Compound interest is calculated on the initial principal, which also includes all of the accumulated interest from previous periods. In contrast, simple interest is calculated only on the principal amount. The formula for compound interest is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years.
3. What is the significance of the time period in interest calculations?
Ans.The time period is crucial in interest calculations because it directly affects the amount of interest earned or paid. In simple interest, the longer the time period, the more interest will accumulate linearly. In compound interest, the effect of compounding means that even a short additional time period can significantly increase the total amount due to interest being calculated on previously accrued interest.
4. Can you explain how to convert an annual interest rate to a monthly rate for compound interest calculations?
Ans.To convert an annual interest rate to a monthly rate for compound interest calculations, divide the annual rate by 12. For example, if the annual interest rate is 12%, the monthly interest rate would be 12% / 12 = 1%. When using this monthly rate in calculations, it should be expressed as a decimal (1% = 0.01).
5. How do you calculate the total amount accumulated after a certain period with compound interest?
Ans.To calculate the total amount accumulated with compound interest, use the formula A = P(1 + r/n)^(nt). Here, you need to know the principal amount (P), the annual interest rate (r), the number of times the interest is compounded per year (n), and the total number of years (t). Plug in these values to find A, the total amount after the specified time period.
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