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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: 577

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...


Re: As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of $35,000 with n

Source: GMAT Paper Tests As a salesperson, Phyllis can choose one of two methods of annual payment: either an annual salary of $35,000 with no commissions or an annual salary of $10,000 plus a 20 percent commission on her total annual sales. What must her total annual sales be to give her the same ...


Re: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold...

Source: GMAT Paper Tests During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how cars many were sold during the first quarter? A. 714,240 B. 2,261,760 C. 2,400,000 D. 3,690,240 E. 3,915,790 T...


Re: Ogel Limited sells toys and books only. Its revenues from toys sales in 2015 were up 12% from 2014 and revenues from

E-GMAT Ogel Limited sells toys and books only. Its revenues from toys sales in 2015 were up 12% from 2014 and revenues from books sales in 2015 were down by 17% from 2014. If the total revenues from toys sales and books sales in 2015 were down by 2% from 2014, what is the ratio of revenue from toys...


Re: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and the res

E-GMAT A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and the rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road? A. 2.91 m B. 3 m C. 5.82 m D. 6 m E. None of these OA B Soluti...


Re: Anne and Beth will participate in a sack race (In a sack race, people hop to reach the finish line). In the time tha

Anne and Beth will participate in a sack race (In a sack race, people hop to reach the finish line). In the time that Anne takes 3 hops, Beth takes 4 hops but the distance covered by Anne in 4 hops is equal to distance covered by Beth in 5 hops. What is the ratio of Anne’s speed: Beth’s speed? A. 3...


Re: k is a positive number. If k is twice its reciprocal, and j is twice k, then jk =

Source: Magoosh k is a positive number. If k is twice its reciprocal, and j is twice k, then jk = A. \(2\sqrt{2}\) B. \(4\) C. \(4\sqrt{2}\) D. \(8\) E. \(8\sqrt{2}\) The OA is B Solution: If k is a positive number, then its reciprocal is 1/k. Let’s determine the value of k: k = 2 * 1/k k^2 = 2 k =...