Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

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Q. What is the present value of a bill of Rs. 10000 due in 1 year at a Banker's Discount of Rs. 800?

A. Rs. 9200
B. Rs. 10000
C. Rs. 8000
D. Rs. 8400

Solution

Present Value = Face Value - Banker's Discount = 10000 - 800 = Rs. 9200

Correct Answer: A — Rs. 9200

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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

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Q. What is the present value of a bill of Rs. 10000 due in 6 months if the Banker's Discount is Rs. 500?

A. Rs. 9500
B. Rs. 9000
C. Rs. 8500
D. Rs. 8000

Solution

Present Value = Face Value - Banker's Discount = 10000 - 500 = Rs. 9500

Correct Answer: A — Rs. 9500

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Q. What is the present value of a bill of Rs. 25000 due in 4 months with a Banker's Discount of Rs. 500?

A. Rs. 24500
B. Rs. 24000
C. Rs. 25000
D. Rs. 25500

Solution

Present Value = Face Value - Banker's Discount = 25000 - 500 = Rs. 24500

Correct Answer: A — Rs. 24500

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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

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Q. What is the present worth of a sum of $8000 due in 2 years if the banker's discount is $640 at 8% per annum?

A. $7200
B. $7600
C. $8000
D. $8400

Solution

Banker's Discount = P × R × T / 100. 640 = P × 8 × 2 / 100. P = $7200.

Correct Answer: A — $7200

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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

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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

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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

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Q. What is the simple interest on $1000 at a rate of 5% per annum for 3 years?

A. $150
B. $100
C. $50
D. $75

Solution

Simple Interest = Principal * Rate * Time = 1000 * (5/100) * 3 = $150.

Correct Answer: B — $100

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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

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Q. What is the square root of 196?

A. 12
B. 13
C. 14
D. 15

Solution

The square root of 196 is 14, since 14 * 14 = 196.

Correct Answer: C — 14

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Q. What is the square root of 225?

A. 13
B. 14
C. 15
D. 16

Solution

The square root of 225 is 15, since 15 * 15 = 225.

Correct Answer: C — 15

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Q. What is the square root of 256?

A. 14
B. 15
C. 16
D. 17

Solution

The square root of 256 is 16, since 16 * 16 = 256.

Correct Answer: C — 16

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Q. What is the square root of 49?

A. 6
B. 7
C. 8
D. 9

Solution

The square root of 49 is 7, since 7 * 7 = 49.

Correct Answer: B — 7

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Q. What is the square root of 81?

A. 8
B. 9
C. 10
D. 11

Solution

The square root of 81 is 9, since 9 * 9 = 81.

Correct Answer: B — 9

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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

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Q. What is the surface area of a cube with a side length of 6 cm?

A. 36 cm²
B. 72 cm²
C. 144 cm²
D. 24 cm²

Solution

Surface Area = 6 * side² = 6 * 6² = 6 * 36 = 216 cm².

Correct Answer: B — 72 cm²

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Q. What is the surface area of a sphere with a diameter of 10 cm?

A. 100π cm²
B. 50π cm²
C. 25π cm²
D. 75π cm²

Solution

Surface Area = 4πr² = 4π(5)² = 4π(25) = 100π cm².

Correct Answer: A — 100π cm²

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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

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Q. What is the time shown on a clock if the angle between the hour and minute hands is 180 degrees?

A. 6:00
B. 3:00
C. 9:00
D. 12:00

Solution

At 6:00, the hour hand is at 180 degrees and the minute hand is at 0 degrees. The angle between them is 180 degrees.

Correct Answer: A — 6:00

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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

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Q. What is the total amount after 2 years if $1000 is invested at a simple interest rate of 6% per annum?

A. $1120
B. $1160
C. $1180
D. $1200

Solution

Simple Interest = (1000 * 6 * 2) / 100 = $120. Total Amount = Principal + Interest = 1000 + 120 = $1120.

Correct Answer: B — $1160

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Q. What is the total amount after 5 years if $1000 is invested at a compound interest rate of 3% per annum?

A. $1159.27
B. $1200.00
C. $1100.00
D. $1050.00

Solution

Amount = P(1 + r/n)^(nt) = 1000(1 + 0.03/1)^(1*5) = 1000(1.159274) = 1159.27

Correct Answer: A — $1159.27

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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

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Q. What is the total surface area of a cube with a side length of 6 cm?

A. 72 cm²
B. 144 cm²
C. 36 cm²
D. 48 cm²

Solution

Surface Area = 6 * side² = 6 * 6² = 6 * 36 = 216 cm².

Correct Answer: B — 144 cm²

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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

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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

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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

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Q. What is the value of (3^4) / (3^2)?

A. 3^2
B. 3^1
C. 3^3
D. 3^4

Solution

Using the property of indices, a^m / a^n = a^(m-n), we have (3^4) / (3^2) = 3^(4-2) = 3^2.

Correct Answer: A — 3^2

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Arithmetic Aptitude

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