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Re: When the integer n is divided by 17, the quotient is x and the remainder is 5.

When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true? (A) 23x + 17y =19 (B) 17x –23y = 9 (C) 17x +23y =19 (D) 14x + 5y = 6 (E) 5x – 14y = -6 Answer: B Source: Official guide ...


Re: Jolene began building a picket fence by planting stakes in a row; the stakes were evenly spaced. After planting the

Jolene began building a picket fence by planting stakes in a row; the stakes were evenly spaced. After planting the first 10 stakes, Jolene measured the length of the row and found that the row was 27 feet long. She continued the row by planting another 10 stakes, then measured the length of the en...


Re: Jennifer can buy watches at a price of B dollars per watch, which she marks up by a certain percentage...

Source: Magoosh Jennifer can buy watches at a price of B dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of T by selling N watches, then in terms of B and T and N, what is the percent of the markup from her buy price to her sell price? A. 10...


Re: How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or 8?

How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or 8? (A) 222 (B) 245 (C) 291 (D) 315 (E) 343 Answer: B Solution: We have 5 choices (3, 4, 5, 7, and 9) for the hundreds digit, 7 choices (all 10 digits except the 3 mentioned ones) for each of the tens and ...


Re: Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remainin

Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two? (A) 90 (B) 82 (C) 80 (D) 45 (E) 36 Answer: C Source: Official guide Solution: If the number 700 is included, then we should have the same number ...


Re: When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k?

When positive integer k is divided by 35, the remainder is 14. Which of the following must be a divisor of k? A. 5 B. 7 C. 11 D. 14 E. 21 Answer: B Solution: We can create the equation where q is the quotient: k/35 = q + 14/35 k = 35q + 14 k= 7(5q + 2) We see that 7 must be a divisor of k since k i...


Re: In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many...

Source: Magoosh In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many managers in total are there? A. 18 B. 24 C. 60 D. 66 E. 98 The OA is E Solution: If we let m be the number of managers in Antares Corporation, we can create the equation: 3/7 * m = ...


Re: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from th

A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd? A. $$\frac{1}{4}$$ B. $$\frac{3}{8}$$ C. $$\frac{1}{2}$$ D. $$\frac{5}...


Re: A certain bakery has 6 employees. It pays annual salaries of $14,000 to each of 2 employees, $16,000 to 1 employee,

A certain bakery has 6 employees. It pays annual salaries of $14,000 to each of 2 employees, $16,000 to 1 employee, and $17,000 to each of the remaining 3 employees. The average (arithmetic mean) annual salary of these employees is closest to which of the following? A. $15,200 B. $15,500 C. $15,800...


Re: Given that the length of each side of a quadrilateral is a distinct integer and that the longest side is not greater

Given that the length of each side of a quadrilateral is a distinct integer and that the longest side is not greater than 7, How many different possible combinations of side lengths are there? [A] 21 24 [C] 32 [D] 34 [E] 35 [spoiler]OA=C[/spoiler] Solution: Recall that in a quadrilateral, the sum o...


Re: The units digit of (44^91)*(73^37) is:

The units digit of (44^91)*(73^37) is: (A) 2 (B) 4 (C) 6 (D) 8 (E) 0 OA A Solution: Let’s first determine the units digit of 44^91. Since we only care about units digits, we can rewrite the expression as: 4^91 Now we can evaluate the pattern of the units digits of 4^n for positive integer values of...

by [email protected]

Fri Jul 23, 2021 5:43 am
Forum: Problem Solving
Topic: The units digit of (44^91)*(73^37) is:
Replies: 2
Views: 381

Re: Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars.

Economist GMAT Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 700 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane p...


Re: ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sel

ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $52.50. If profit is revenue from sales minus manufacturing costs, and the company produces & sells 987 sets of horseshoes, what was their profit? (A) $20,874.25 (B) $30,94...


Re: In how many ways can 6 chocolates be distributed among 3 children? A child may get any number of chocolates from 0 t

In how many ways can 6 chocolates be distributed among 3 children? A child may get any number of chocolates from 0 to 6 and all the chocolates are identical. A) 21 B) 28 C) 56 D) 112 E) 224 Solution: We can obtain the number 6 as the sum of 3 non-negative integers (where the integers are in non-inc...


Re: A merchant reduces the original price of a coat by 20 percent for a spring sale. Finding that the coat did not sell,

A merchant reduces the original price of a coat by 20 percent for a spring sale. Finding that the coat did not sell, the merchant reduces the spring price by a further 15 percent at the start of the summer. The coat’s summer price is what percent of its original price? A. 35% B. 64% C. 65% D. 68% E...