Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 631:

  John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount of dollars he could have spent for the $12 tickets?

  A. $48

  B. $60

  C. $84

  D. $96

  E. $120

  Correct Answer: B

  Since John spent all of the $135 on the tickets, their prices must sum up to $135. The Minimum amount spent for the $12 tickets, is the smallest amount that is divisible by 12, and still leaves an amount divisible by 5. $60 is the smallest amount both divisible by 12 and leaving $135-$60=$75, which is divisible by $5.

• Question 632:

  A snail, climbing a 20 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?

  A. 12

  B. 16

  C. 17

  D. 20

  E. 21

  Correct Answer: C

  The snail climbs 2 feet every 2 days, hence, on the 16th day he is 16 feet up the wall. The snail needs only the 17th day to climb 4 feet more and reach the top of the wall.

• Question 633:

  On a summer camp, 25% of the campers paid $120 each, 35% paid $80 each and the rest paid $65 each.

  What percentage of the total amount paid came from the campers who paid $80?

  A. 18%

  B. 21%

  C. 26%

  D. 33.3%

  E. 37.5%

  Correct Answer: D

  Take 100 campers as an example to work with, 25 paid $120 =$3,000 total, 35 paid $80 = $2,800 total, and 40 (the rest) paid $65 = $2,600. The total amount paid is $8,400. The amount paid by

  

• Question 634:

  A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 4,500 meters of fabric?

  A. $8,617

  B. $8,710

  C. $8,810

  D. $8,835

  E. $8,915

  Correct Answer: B

  The price of the first 2,000 meters of fabric is $2 = $4,000. The price of the next 1,500 meters is 95% of $2 = $1.9 = $2,850. The price of the last 1,000 meters is 93% of $2 = $1.86 = $1,860. The total amount spent is: $4,000+$2,850+$1,860=$8,710.

• Question 635:

  One gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in to make the orange juice 60% of the soft drink?

  A. 0.5

  B. 1

  C. 1.25

  D. 1.5

  E. 2

  Correct Answer: A

  Use the average formula to solve the following equation:

  

  . X=0.5 gallon.

• Question 636:

  The area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is?

  A. 22

  B. 32

  C. 44

  D. 55

  E. 56

  Correct Answer: C

  The height of the trapezoid can be calculated using a right angle triangle of 3,4 and 5 created with the height, the side and half of the difference between the two bases. When finding the height of 4,

  

• Question 637:

  In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?

  A. 24

  B. 48

  C. 120

  D. 240

  E. 480

  Correct Answer: B

  Treat the two that seat together as one person, now there are only 4 people to be seated in 4 places. This task has 4! Ways=24. Remember that the two people sitting together can switch places on any of the 24 different ways, so we have 48 ways total.

• Question 638:

  A salesperson gets a 15% commission on each sale he makes. How many sales of $270 each must he make in order to reach a salary of at least $1000?

  A. 15

  B. 24

  C. 25

  D. 26

  E. 52

  Correct Answer: C

  The commission per sale is $40.5, multiply it by 25 sales and get to $1012.5.

• Question 639:

  If a is an even integer and b is an odd integer, what must the expression

  be?

  A. Always even

  B. Always odd

  C. Always a fraction

  D. Could be a fraction

  E. Always an integer

  Correct Answer: E

  Since the even number a is raised to the power of 3, it is always divisible by 8. Therefore, the whole expression must be an integer, an even or an odd one. Of course, the expression cannot be a fraction.

• Question 640:

  One out of every 500 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?

  A. 2,000

  B. 5,000

  C. 10,000

  D. 50,000

  E. 52,000

  Correct Answer: D

  Two out of every 10 damaged light bulbs have a broken glass, so if 20 bulbs have a broken glass, light bulbs in the shipment.