GMAT: Math 13 | Problem solving | GMAT | Khan Academy

TL;DR

This video provides solutions to GMAT practice questions and explains concepts such as inequalities, ratios, least common multiples, and compound interest.

Transcript

We're on problem 70. If x plus 5 is greater than 2, and x minus 3 is less than 7, the value of x must be between which of the following pairs of numbers? Well for this top one, let's just subtract 5 from both sides of this equation. If you subtract 5 from both sides, you get x is greater than, what's 2 minus 5, x is greater than minus 3. For this b... Read More

Key Insights

• 🎭 Inequalities can be solved by performing inverse operations to isolate the variable.
• 🛩️ The least common multiple can be found by identifying the shared multiples of two numbers and selecting the smallest one.
• #️⃣ Determining the minimum number of votes required for a resolution to pass involves multiplying the total number of votes by the required fraction or percentage.

Questions & Answers

Q: How do you solve inequalities, such as x + 5 > 2 or x - 3 < 7?

To solve inequalities, you perform inverse operations such as subtracting or adding to both sides to isolate the variable. The resulting inequality determines the possible range of values for the variable.

Q: How do you find the least common multiple of two numbers, such as 8 and 12?

To find the least common multiple, identify the multiples of each number and find the smallest number that appears in both lists.

Q: How do you determine the minimum number of votes required for a resolution to pass?

Multiply the total number of votes by the fraction or percentage required for the resolution to pass. Round up to the nearest whole number to ensure there are enough votes in favor.

Q: How do you calculate compound interest compounded semi-annually?

Divide the annual interest rate by the number of compounding periods per year. Multiply the resulting interest rate by the principal amount to calculate the interest earned in each compounding period.

Summary & Key Takeaways

• The video covers various GMAT practice questions, including solving inequalities and finding the value of x.

• It explains how to determine the least common multiple and find the lowest possible number that is divisible by two given numbers.

• The video explores the concept of finding the minimum number of votes required for a resolution to pass, as well as calculating the allocation of budget amounts based on given ratios.

• It concludes with an explanation of compound interest, specifically compounding semi-annually.