Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

Area Average Bankers Discount Boats and Streams Calendar Chain Rule Clock Compound Interest Decimal Fraction Height and Distance Logarithm Mixture Numbers Odd Man Out and Series Partnership Percentage Permutation and Combination Pipes and Cistern Probability Problems on Ages Problems on H.C.F and L.C.M Problems on Numbers Problems on Trains Profit and Loss Races and Games Ratio and Proportion Simple Interest Simplification Square Root and Cube Root Stocks and Shares Surds and Indices Time and Distance Time and Work True Discount Volume and Surface Area

Q. If the true discount on a sum is $150 and the sum is due in 1 year at 5% interest, what is the sum?

A. $3000
B. $2500
C. $2000
D. $1500

Solution

True Discount = Sum * Rate / (100 + Rate). Let Sum = x. Then, 150 = x * 5 / (100 + 5). Solving gives x = $2500.

Correct Answer: B — $2500

Learn More →

Q. If the true discount on a sum is $80 and the sum is due in 1 year at 10% interest, what is the sum?

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

Solution

True Discount = Sum * Rate / (100 + Rate). Let Sum = x. Then, 80 = x * 10 / (100 + 10). Solving gives x = $1000.

Correct Answer: C — $1000

Learn More →

Q. If the true discount on a sum of money is $150 and the present worth is $850, what is the rate of interest per annum for 1 year?

A. 15%
B. 20%
C. 25%
D. 30%

Solution

True Discount = Present Worth * Rate * Time / 100. 150 = 850 * Rate * 1 / 100. Rate = (150 * 100) / 850 = 17.65%, approximately 15%.

Correct Answer: A — 15%

Learn More →

Q. If the true discount on a sum of money is $200 and the rate of interest is 10% per annum for 2 years, what is the present worth?

A. $800
B. $1000
C. $1200
D. $1500

Solution

True Discount = Present Worth * Rate * Time / 100. Let Present Worth = x. Then, 200 = x * 10 * 2 / 100. Solving gives x = $1000.

Correct Answer: B — $1000

Learn More →

Q. If the true discount on a sum of money is $250 and the present worth is $1250, what is the time period at 8% per annum?

A. 1 year
B. 2 years
C. 3 years
D. 4 years

Solution

True Discount = Present Worth * Rate * Time / 100. 250 = 1250 * 8 * Time / 100. Time = (250 * 100) / (1250 * 8) = 2 years.

Correct Answer: B — 2 years

Learn More →

Q. If the true discount on a sum of money is $50 and the sum is due in 6 months at 12% interest, what is the sum?

A. $500
B. $600
C. $700
D. $800

Solution

True Discount = Sum * Rate / (100 + Rate). Let Sum = x. Then, 50 = x * 12 / (100 + 12/2). Solving gives x = $600.

Correct Answer: B — $600

Learn More →

Q. If today is April 15, what will be the date after 100 days?

A. July 24
B. July 25
C. July 26
D. July 27

Solution

April has 15 days left after April 15. 100 - 15 = 85 days left. May has 31 days, June has 30 days, and July has 24 days. 15 + 31 + 30 + 24 = 100. So, the date will be July 25.

Correct Answer: B — July 25

Learn More →

Q. If today is Friday, what day will it be 50 days from now?

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

Solution

50 days = 7 weeks + 1 day. Therefore, it will be Saturday, which is 1 day after Friday.

Correct Answer: C — Monday

Learn More →

Q. If today is July 4, 2023, what will be the date 200 days from now?

A. January 20, 2024
B. January 21, 2024
C. January 22, 2024
D. January 23, 2024

Solution

From July 4 to July 31 is 27 days. August has 31 days, September has 30 days, October has 31 days, November has 30 days, December has 31 days, and January has 31 days. 27 + 31 + 30 + 31 + 30 + 31 + 20 = 200 days. Thus, it will be January 20, 2024.

Correct Answer: A — January 20, 2024

Learn More →

Q. If today is March 15, 2023, what will be the date after 100 days?

A. June 23, 2023
B. June 24, 2023
C. June 25, 2023
D. June 26, 2023

Solution

March has 31 days, so from March 15 to March 31 is 16 days. April has 30 days, May has 31 days, and June has 30 days. 16 + 30 + 31 + 23 = 100 days. Therefore, the date will be June 24, 2023.

Correct Answer: B — June 24, 2023

Learn More →

Q. If today is October 10, 2023, what will be the date 50 days from now?

A. November 29, 2023
B. November 30, 2023
C. December 1, 2023
D. December 2, 2023

Solution

From October 10 to October 31 is 21 days. November has 30 days. 50 - 21 = 29 days left in November. Thus, it will be November 30, 2023.

Correct Answer: B — November 30, 2023

Learn More →

Q. If today is the 15th of a month, what is the maximum number of days left in that month?

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

Solution

The maximum number of days in a month is 31. If today is the 15th, there are 31 - 15 = 16 days left.

Correct Answer: A — 14

Learn More →

Q. If today is the 1st of a month and it has 31 days, what will be the day of the week on the 31st of that month?

A. Same as today
B. One day later
C. Two days later
D. Three days later

Solution

31 days = 4 weeks + 3 days. Therefore, the day on the 31st will be three days later than the 1st.

Correct Answer: B — One day later

Learn More →

Q. If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?

A. 6 and 8
B. 4 and 6
C. 8 and 10
D. 10 and 12

Solution

The numbers are 3*2 and 4*2, which are 6 and 8.

Correct Answer: A — 6 and 8

Learn More →

Q. If y = (2x + 1)^3, find dy/dx at x = 1.

A. 12
B. 18
C. 24
D. 30

Solution

dy/dx = 6(2x + 1)^2. At x = 1, dy/dx = 6(2(1) + 1)^2 = 6(3)^2 = 54.

Correct Answer: A — 12

Learn More →

Q. If y = (2x + 1)^3, find dy/dx.

A. 6(2x + 1)^2
B. 3(2x + 1)^2
C. 2(2x + 1)^2
D. 12(2x + 1)^2

Solution

dy/dx = 6(2x + 1)^2 by the chain rule.

Correct Answer: A — 6(2x + 1)^2

Learn More →

Q. If y = (x^2 + 1)^5, find dy/dx at x = 1.

A. 10
B. 20
C. 30
D. 40

Solution

dy/dx = 5(x^2 + 1)^4(2x). At x = 1, dy/dx = 5(2)^4(2) = 5(16)(2) = 160.

Correct Answer: B — 20

Learn More →

Q. If y = (x^2 + 1)^5, find dy/dx.

A. 10x(x^2 + 1)^4
B. 5(x^2 + 1)^4
C. 5x(x^2 + 1)^4
D. 20x(x^2 + 1)^3

Solution

dy/dx = 10x(x^2 + 1)^4 by the chain rule.

Correct Answer: A — 10x(x^2 + 1)^4

Learn More →

Q. If y = 2^x, find dy/dx at x = 1.

A. 0.693
B. 1.386
C. 2.718
D. 3.141

Solution

dy/dx = 2^x * ln(2). At x = 1, dy/dx = 2^1 * ln(2) = 2 * 0.693 = 1.386.

Correct Answer: A — 0.693

Learn More →

Q. If y = 3x^2 + 2x, find dy/dx at x = 2.

A. 14
B. 18
C. 22
D. 26

Solution

First, find dy/dx = 6x + 2. At x = 2, dy/dx = 6(2) + 2 = 12 + 2 = 14.

Correct Answer: B — 18

Learn More →

Q. If y = 4x^2 + 3x + 2, find dy/dx at x = -1.

A. -5
B. -3
C. 1
D. 5

Solution

dy/dx = 8x + 3. At x = -1, dy/dx = 8(-1) + 3 = -8 + 3 = -5.

Correct Answer: A — -5

Learn More →

Q. If y = 4x^3 - 2x + 1, find dy/dx at x = -1.

A. -10
B. -8
C. -6
D. -4

Solution

dy/dx = 12x^2 - 2. At x = -1, dy/dx = 12(-1)^2 - 2 = 12 - 2 = 10.

Correct Answer: C — -6

Learn More →

Q. If y = 5x^4 + 3x^2 - x, find dy/dx at x = 1.

A. 20
B. 22
C. 24
D. 26

Solution

dy/dx = 20x^3 + 6x - 1. At x = 1, dy/dx = 20(1)^3 + 6(1) - 1 = 20 + 6 - 1 = 25.

Correct Answer: B — 22

Learn More →

Q. If y = 5x^4 - 3x^3 + 2x - 1, find dy/dx at x = 1.

A. 14
B. 16
C. 18
D. 20

Solution

dy/dx = 20x^3 - 9x^2 + 2. At x = 1, dy/dx = 20 - 9 + 2 = 13.

Correct Answer: B — 16

Learn More →

Q. If y = cos(5x^2), find dy/dx.

A. -10xsin(5x^2)
B. -5xsin(5x^2)
C. -25xsin(5x^2)
D. -2xsin(5x^2)

Solution

dy/dx = -10xsin(5x^2) by the chain rule.

Correct Answer: A — -10xsin(5x^2)

Learn More →

Q. If y = e^(3x), find dy/dx at x = 0.

A. 1
B. 3
C. e
D. 3e

Solution

dy/dx = 3e^(3x). At x = 0, dy/dx = 3e^(0) = 3.

Correct Answer: A — 1

Learn More →

Q. If y = e^(3x), find dy/dx.

A. 3e^(3x)
B. e^(3x)
C. 9e^(3x)
D. 6e^(3x)

Solution

dy/dx = 3e^(3x) by the chain rule.

Correct Answer: A — 3e^(3x)

Learn More →

Q. If y = ln(5x^2 + 3), find dy/dx at x = 1.

A. 5/8
B. 3/8
C. 1/8
D. 1/5

Solution

dy/dx = (10x)/(5x^2 + 3). At x = 1, dy/dx = (10)/(5(1) + 3) = 10/8 = 5/4.

Correct Answer: A — 5/8

Learn More →

Q. If y = ln(5x^2 + 3), find dy/dx.

A. 10/(5x^2 + 3)
B. 5/(5x^2 + 3)
C. 2/(5x^2 + 3)
D. 15/(5x^2 + 3)

Solution

dy/dx = (10x)/(5x^2 + 3) by the chain rule.

Correct Answer: A — 10/(5x^2 + 3)

Learn More →

Q. If y = sin(2x), find dy/dx at x = π/4.

A. 0
B. 1
C. √2/2
D. √2

Solution

dy/dx = 2cos(2x). At x = π/4, dy/dx = 2cos(π/2) = 2(0) = 0.

Correct Answer: D — √2

Learn More →

Showing 1051 to 1080 of 1390 (47 Pages)

Arithmetic Aptitude

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?