GRE quantitative questions

At Deb's Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special. There are 5 choices of sandwich, 4 choices of salad, and 3 choices of soup. How many possible lunch special combinations can be ordered?

In a lunch special, a customer first chooses a sandwich and then chooses either a salad or a soup. The second choice is independent of the first, so we can apply the multiplication principle, which states that the number of total possible choices of two items is the product of the number of possibilities for the first and the number of possibilities for the second. There are 5 sandwich options, 4 salad options, and 3 soup options, so a customer can choose 5 × 4 = 20 different sandwich/salad specials and 5 × 3 = 15 different sandwich/soup specials, for a total of 20 + 15 = 35 lunch specials. The correct answer is 35.

x < 0 < y + z z ≠ 0 Quantity A Quantity B y+zx yz Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined from the information given.

Let's first consider Quantity A. The numerator is specified to be positive , and the denominator is specified to be negative. The quotient of a positive number divided by a negative number is always negative, but the magnitude of Quantity A cannot be determined. You may have been tempted to immediately declare Quantity B to be larger, because the y + z is positive, but be careful. While y + z > 0, there's nothing stopping either y or z alone from being negative. This makes it impossible for us to know whether Quantity B is positive, negative, or even 0. Therefore, the relationship cannot be determined from the information given. Choice (D) is correct

To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

What formula is used to find just one interior angle of a ploygone

The formula for finding the sum of the measure of the interior angles is (n - 2) * 180

What formula is used to find the sum of interior angles of a polygon?

Of the swimmers at a meet, 12 are female, and 12 are male. If 12 of the females and 14 of the males are swimming in a relay, what is the probability that a swimmer selected at random will be swimming in the relay? A:1/8 B:3/16 C:1/4 D:3/8 E:3/4

Half of the swimmers at the meet are female, and half of those are swimming in the relay. Note that the word "of" translates to multiplication, so 1\2×1\2=1\4 of the swimmers at the meet are females who are swimming in a relay. Similarly, half of the swimmers at the meet are male, and one-fourth of those are swimming in the relay, so 1\2×1\4=1\8 of the swimmers at the meet are males who are swimming in a relay. Thus, the total fraction of swimmers at the meet swimming in the relay is 1\4+1\8=2\8+1\8=\38. Answer choice (D) is correct.

List L: 3, 4, 18, 21, 34 Quantity A Quantity B The average (arithmetic mean) of the numbers in list L The median of the numbers in list L A:Quantity A is greater. B:Quantity B is greater. C:The two quantities are equal. D:The relationship cannot be determined from the information given.

Show/hide explanation The average formula is Average =Sum of the termsNumber of terms. The average of the numbers 3, 4, 18, 21, and 34 in list L is 3+4+18+21+345=805=16. Thus, Quantity A is 16. To find the median of a group of numbers, arrange the numbers in increasing order. If the number of numbers is odd, the median is the middle number. If the number of numbers is even, the median is the average of the two middle numbers. The numbers 3, 4, 18, 21, 34 of list L are already in increasing order. Since the number of numbers in list L is 5, which is odd, the median of the numbers is the middle number, which is the third number. So the median of the numbers in list L is 18. Thus, Quantity B is 18. Quantity A is 16 and Quantity B is 18. Quantity B is greater and choice (B) is correct.

A jar contains 3 red, 5 green, 2 blue, and 6 yellow marbles. A marble is chosen at random from the jar. After replacing the first marble, a second marble is chosen. Quantity A Quantity B The probability of choosing a green marble and then a yellow marble 1116 Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined from the information given.

Show/hide explanation The probability formula is Probability=Number of desirable outcomesNumber of possible outcomes. Since 5 is the number of green marbles in the jar and 16 is the total number of marbles in the jar, the probability of selecting a green marble is 516. Applying the same formula to the yellow marble for the second selection, the probability of selecting a yellow marble is 616. To find the probability of selecting 1 green and then 1 yellow marble, we take the product of these two probabilities: 516×616=30256 Without reducing the fraction, it is clear that 30256<12 and 1116>12. The correct answer is choice (B)

Which of the following expressions are equal to 21 ? Indicate all correct answer choices. A:3 + 7 × 2 + 12 ÷ (2 + 1) B:1 + (3 ÷ 2) × 10 + 1 C:7 - 3 × 3 + (5 + 4) D:4 × (3 + 2) - (3 - 4) E:(2 + 6) × 1 + 3 - 6 × 4 + 1

The key to arithmetic problems is following PEMDAS—the order of operations. Let us evaluate each answer choice: (A) 3 + 7 × 2 + 12 ÷ (2 + 1) = 3 + 7 × 2 + 12 ÷ 3 = 3 + 14 + 4 = 21. This works. (B) 1 + (3 ÷ 2) × 10 + 1 = 1 + 1.5 × 10 + 1 = 1 + 15 + 1 = 17. Eliminate. (C) 7 - 3 × 3 + (5 + 4) = 7 - 3 × 3 + 9 = 7 - 9 + 9 = 7. Eliminate. (D) 4 × (3 + 2) - (3 - 4) = 4 × 5 - (-1) = 20 + 1 = 21. This works. (E) (2 + 6) × 1 + 3 - 6 × 4 + 1 = 8 × 1 + 3 - 6 × 4 + 1 = 8 + 3 - 24 + 1 = -12. Eliminate. Answer choices (A) and (D) are correct.

multiply fractions

multiply the numerators and multiply the denominators 3/4*1/6=3/24 reduce 1/8 you can also reduce before multiplying