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Que: A color “code” is defined as a sequence of four dots arranged in a row. Each dot is .....

Que: A color “code” is defined as a sequence of four dots arranged in a row. Each dot is colored either “blue” or “green.” How many distinct codes can be formed?

(A) 2
(B) 4
(C) 8
(D) 16
(E) 32


Re: Que: An instructor gave the same test to three groups: A, B, and C. The average (arithmetic mean).......

Solution: Let the number of candidates in groups A, B, and C be 1k, 3k, and 5k, respectively, where ‘k's is a constant of proportionality. The average (arithmetic mean) scores for the three groups were 40, 50, and 60, respectively. The combined average for the three groups is => \(\frac{\left(40\cd...


Re: Que: What is the value of x?

Solution: To save time and improve accuracy on DS questions in GMAT, learn and apply the Variable Approach. Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem....

by Max@Math Revolution

Mon Jul 19, 2021 1:12 am
Forum: Data Sufficiency
Topic: Que: What is the value of x?
Replies: 1
Views: 250

Que: An instructor gave the same test to three groups: A, B, and C. The average (arithmetic mean).......

Que: An instructor gave the same test to three groups: A, B, and C. The average (arithmetic mean) scores for the three groups were 40, 50, and 60, respectively. The ratio of the numbers of candidates in the A, B, and C groups were 1 : 3: 5, respectively. What was the average score for the three gro...


Que: What is the value of x?

Que: What is the value of x?

1. \(3\left(x+y\right)=x+3y\).
2. \(x^2+y^2=\left(x+y\right)^2\).

by Max@Math Revolution

Sat Jul 17, 2021 9:22 pm
Forum: Data Sufficiency
Topic: Que: What is the value of x?
Replies: 1
Views: 250

Re: Que: The trader first decreased the selling price of a car by 30 percent and then increased by 30 percent.....

Solution: Let us apply the IVY approach to solve the question. As we are dealing with percentage, then let the original price of a car be $100. Price after price reduced by 30%: (100 - 30)% of $100 => \(\frac{70}{100}\cdot$100=$70\) Price after the new price increased by 30%: (100 + 30)% of $70 => ...


Re: Que: Is xy < 15?

Solution: To save time and improve accuracy on DS questions in GMAT, learn and apply the Variable Approach. Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem....

by Max@Math Revolution

Sat Jul 17, 2021 9:09 pm
Forum: Data Sufficiency
Topic: Que: Is xy < 15?
Replies: 1
Views: 215

Que: The trader first decreased the selling price of a car by 30 percent and then increased by 30 percent.....

Que: The trader first decreased the selling price of a car by 30 percent and then increased by 30 percent. Which of the following represents the final percent change in the selling price of the bicycle?

(A) 9% less
(B) 0%
(C) 9% more
(D) 91% less
(E) 91% more


Que: Is xy < 15?

Que: Is xy < 15?

(1) x < 4 and y < 2
(2) x < −4 and y < −3

by Max@Math Revolution

Fri Jul 16, 2021 8:55 am
Forum: Data Sufficiency
Topic: Que: Is xy < 15?
Replies: 1
Views: 215

Re: Que: A juice manufacturer has 1,800 liters of mango pulp in stock, 30 percent of which is water.....

Solution: The resultant percentage will be the weighted average of the percentages of the above two stocks. => \(\frac{\left(1800\ \cdot\ 0.3\right)+\left(600\ \cdot\ 0.3\right)}{1800+600}\cdot100\) => \(\frac{\left(540\right)+\left(180\right)}{2400}\cdot100\) => \(\frac{720}{2400}\cdot100\) => 30% ...


Re: Que: If x and y are positive integers, is xy a multiple of 12?

Solution: To save time and improve accuracy on DS questions in GMAT, learn and apply the Variable Approach. Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem....


Que: A juice manufacturer has 1,800 liters of mango pulp in stock, 30 percent of which is water.....

Que: A juice manufacturer has 1,800 liters of mango pulp in stock, 30 percent of which is water. If the manufacturer adds another 600 liters of mango pulp of which 30 percent is water, what percent, by volume, of the manufacturer’s mango pulp contains water? (A) 20% (B) 25% (C) 30% (D) 35% (E) 40%


Que: If x and y are positive integers, is xy a multiple of 12?

Que: If x and y are positive integers, is xy a multiple of 12?

(1) x is a multiple of 3.
(2) y is a multiple of x.


Re: Que: Item X attracts a sales tax rate of $1.00 per $30. What is the sales tax rate, as a percent.......

Solution: Tax paid on $30 = $1.00 Thus, a tax, which is three times as much as the above, would be $(1.00 × 3) = $3.00 on $30. Thus, the tax rate = \(\frac{3.00}{30}=0.1\) Thus, this tax, expressed as a percentage = \(0.1=1\cdot\frac{1}{10}=10\%\) Therefore, D is the correct answer. Answer D