Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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Q. What is the Banker's Discount on a bill of Rs. 2000 due in 4 months at 15% per annum?

A. Rs. 100
B. Rs. 80
C. Rs. 60
D. Rs. 120

Solution

Banker's Discount = (2000 * 15 * 4/12) / 100 = Rs. 100.

Correct Answer: B — Rs. 80

Q. What is the bankers discount on a sum of $10000 due in 4 years at 5%?

A. $2000
B. $1000
C. $500
D. $400

Solution

Bankers Discount = (10000 × 5 × 4) / 100 = $2000.

Correct Answer: B — $1000

Q. What is the compound interest on $1200 for 3 years at a rate of 9% per annum?

A. $350.00
B. $400.00
C. $450.00
D. $500.00

Solution

CI = A - P; A = P(1 + r)^n = 1200(1 + 0.09)^3 = 1200(1.295029) = $1554.03, CI = 1554.03 - 1200 = $354.03.

Correct Answer: B — $400.00

Q. What is the compound interest on $5000 at a rate of 6% per annum for 4 years?

A. $1272.48
B. $1265.00
C. $1300.00
D. $1200.00

Solution

Compound Interest = 5000(1 + 0.06)^4 - 5000 = 5000(1.26247696) - 5000 = 1312.38

Correct Answer: A — $1272.48

Q. What is the compound interest on $8000 at a rate of 5% per annum for 2 years?

A. $800.00
B. $850.00
C. $820.00
D. $900.00

Solution

Compound Interest = 8000(1 + 0.05)^2 - 8000 = 8000(1.1025) - 8000 = 820.00

Correct Answer: C — $820.00

Q. What is the day of the week on December 31, 2025 if January 1, 2025 is a Wednesday?

A. Monday
B. Tuesday
C. Wednesday
D. Thursday

Solution

2025 is not a leap year, so it has 365 days. 365 days = 52 weeks + 1 day. Therefore, December 31, 2025 will be one day after Wednesday, which is Thursday.

Correct Answer: D — Thursday

Q. What is the day of the week on February 29, 2024?

A. Thursday
B. Friday
C. Saturday
D. Sunday

Solution

January 1, 2024 is a Monday. February 29, 2024 is 59 days from January 1, which is 8 weeks and 3 days. Therefore, it will be a Thursday.

Correct Answer: A — Thursday

Q. What is the day of the week on March 1, 2025 if January 1, 2025 is a Wednesday?

A. Friday
B. Saturday
C. Sunday
D. Monday

Solution

From January 1 to March 1, there are 59 days (31 days in January + 28 days in February). 59 days = 8 weeks + 3 days. Wednesday + 3 days = Saturday.

Correct Answer: B — Saturday

Q. What is the decimal equivalent of 5/8?

A. 0.55
B. 0.6
C. 0.625
D. 0.7

Solution

5 divided by 8 equals 0.625.

Correct Answer: C — 0.625

Q. What is the face value of a bill if the bankers' discount is Rs. 300, the rate is 10% per annum, and the time is 6 months?

A. Rs. 6000
B. Rs. 5000
C. Rs. 4000
D. Rs. 3000

Solution

Face Value = BD / (Rate × Time) = 300 / (0.10 × 0.5) = Rs. 6000.

Correct Answer: A — Rs. 6000

Q. What is the face value of a bill if the bankers' discount is Rs. 500, the rate is 10% per annum, and the time is 6 months?

A. Rs. 5000
B. Rs. 6000
C. Rs. 7000
D. Rs. 8000

Solution

Face Value = BD / (Rate × Time) = 500 / (10 × 0.5) = Rs. 5000.

Correct Answer: A — Rs. 5000

Q. What is the greatest common divisor (GCD) of 24 and 36?

A. 6
B. 8
C. 12
D. 18

Solution

The GCD of 24 and 36 can be found by listing the factors: 24 = 2^3 * 3, 36 = 2^2 * 3^2. The GCD is 2^2 * 3 = 12.

Correct Answer: C — 12

Q. What is the least common multiple (LCM) of 12 and 15?

A. 30
B. 60
C. 90
D. 120

Solution

The LCM of two numbers is found by taking the highest power of each prime factor. The prime factorization of 12 is 2^2 * 3 and for 15 is 3 * 5. Thus, LCM = 2^2 * 3 * 5 = 60.

Correct Answer: B — 60

Q. What is the maturity value of a bill of $1000 with a Banker's Discount of $20 for 3 months?

A. $980
B. $1000
C. $1020
D. $1040

Solution

Maturity Value = Principal + BD = 1000 + 20 = $1020

Correct Answer: C — $1020

Q. What is the present value of a bill of Rs. 10000 due in 1 year with a bankers' discount of Rs. 800?

A. Rs. 9200
B. Rs. 10000
C. Rs. 10800
D. Rs. 8800

Solution

Present Value = Face Value - BD = 10000 - 800 = Rs. 9200.

Correct Answer: A — Rs. 9200

Q. What is the present value of a sum of $20000 due in 3 years at a bankers discount of 9%?

A. $18000
B. $17000
C. $16000
D. $15000

Solution

Bankers Discount = (20000 × 9 × 3) / 100 = $5400. Present Value = 20000 - 5400 = $14600.

Correct Answer: A — $18000

Q. What is the product of the first 4 prime numbers?

A. 30
B. 60
C. 70
D. 120

Solution

The first 4 prime numbers are 2, 3, 5, and 7. Their product is 2 * 3 * 5 * 7 = 210.

Correct Answer: A — 30

Q. What is the product of the first 5 prime numbers?

A. 30
B. 210
C. 2310
D. 30030

Solution

The first 5 prime numbers are 2, 3, 5, 7, and 11. Their product is 2 * 3 * 5 * 7 * 11 = 2310.

Correct Answer: C — 2310

Q. What is the product of the first three prime numbers?

A. 30
B. 60
C. 42
D. 70

Solution

The first three prime numbers are 2, 3, and 5. Their product is 2 * 3 * 5 = 30.

Correct Answer: A — 30

Q. What is the square root of 144?

A. 10
B. 11
C. 12
D. 13

Solution

The square root of 144 is 12, since 12 * 12 = 144.

Correct Answer: C — 12

Q. What is the sum of the first 10 natural numbers?

A. 45
B. 50
C. 55
D. 60

Solution

The sum of the first n natural numbers is given by the formula n(n + 1)/2. For n = 10, the sum is 10(10 + 1)/2 = 10 * 11 / 2 = 55.

Correct Answer: A — 45

Q. What is the time difference between 2:30 PM and 4:15 PM?

A. 1 hour 45 minutes
B. 1 hour 30 minutes
C. 2 hours 15 minutes
D. 2 hours 45 minutes

Solution

The time difference is 4:15 PM - 2:30 PM = 1 hour 45 minutes.

Correct Answer: A — 1 hour 45 minutes

Q. What is the time shown on a clock if the hour hand is at 2 and the minute hand is at 6?

A. 2:30
B. 2:15
C. 2:45
D. 2:00

Solution

The minute hand at 6 indicates 30 minutes. Therefore, the time is 2:30.

Correct Answer: C — 2:45

Q. What is the total number of days from January 1, 2020 to December 31, 2020?

A. 365
B. 366
C. 364
D. 367

Solution

2020 is a leap year, so there are 366 days from January 1, 2020 to December 31, 2020.

Correct Answer: B — 366

Q. What is the true discount on a bill of Rs. 10000 due in 1 year if the Banker's Discount is Rs. 1000?

A. Rs. 900
B. Rs. 1000
C. Rs. 1100
D. Rs. 800

Solution

True Discount = Banker's Discount × (Time / (Time + 1)) = 1000 × (1 / (1 + 1)) = Rs. 500.

Correct Answer: A — Rs. 900

Q. What is the true discount on a bill of Rs. 30000 due in 2 years if the Banker's Discount is Rs. 3000?

A. Rs. 2500
B. Rs. 3000
C. Rs. 3500
D. Rs. 2000

Solution

True Discount = Banker's Discount × (Time / (Time + 1)) = 3000 × (2 / (2 + 1)) = Rs. 2000.

Correct Answer: A — Rs. 2500

Q. What is the true discount on a bill of Rs. 5000 due in 3 months if the Banker's Discount is Rs. 125?

A. Rs. 100
B. Rs. 125
C. Rs. 150
D. Rs. 200

Solution

True Discount = Banker's Discount * (Time / (Time + 1)) = 125 * (3/12) = Rs. 31.25.

Correct Answer: A — Rs. 100

Q. What is the value of 7^2 + 3^2?

A. 58
B. 62
C. 70
D. 74

Solution

Calculating 7^2 = 49 and 3^2 = 9. Therefore, 49 + 9 = 58.

Correct Answer: A — 58

Q. What is the value of log10(0.01)?

A. -1
B. -2
C. 0
D. 1

Solution

log10(0.01) = log10(10^-2) = -2.

Correct Answer: B — -2

Q. What is the value of log10(1)?

A. 0
B. 1
C. -1
D. undefined

Solution

log10(1) = 0 because 10^0 = 1.

Correct Answer: A — 0

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