Subject Mathematics
676. A solution that contains 20% sugar by weight is made sweeter by doubling the amount of sugar. The percent of sugar, by weight, in the new solution is ---
(a) 50%
(b) 40%
(c) 33.33%
(d) 30%
(e) none of these
Ans. c
677. If the ratio of boys and girls in a school is 5 :3. Which of the following could not be the number of students in the school?
(a) 512
(b) 416
(c) 224
(d) 178
(e) None of these
Ans. d
678. A Fast food shop sells pizza in 3 sizes: large, super and Jumbo. One day the shop sold 240 pizza, and the ratio of sales of large to super to jumbo was 8 : 17 :15. How many jumbo pizza were sold that day?
(a) 48
(b) 90
(c) 102
(d) 108
(e) None of these
Ans. b
679. On Saturday, 20 of the students in a class took a test and their averages score was 80. On Tuesday, the other 5 students look the test, and their average score was 90. What was the average for the entire class?
(a) 82
(b) 84
(c) 85
(d) 88
(e) None of these
Ans. a
680. A container full of water weights 20 kg. If one-fourth of the container is full of water, it weight 8 kg. What is the weight of the empty container?
(a) 2 kg
(b) 3 kg
(c) 4 kg
(d) 8 kg
(e) None of these
Ans. c
681. A ferry can carry 24 buses or 36 cars at a time. If there are 9 cars on the ferry. How many buses can be loaded into if?
(a) 18
(b) 16
(c) 15
(d) 14
(e) None of these
Ans. a
682. Which of the following is the next number in the series: 3, 6, 9, 18, 27, 54, 81, ….?
(a) 135
(b) 151
(c) 162
(d) 243
(e) None of these
Ans. c
683. A 180 liter mixture of milk and water contains 20% water. How much milk, in the liters, must be added to the mixture so that the new mixture with contain water and milk in the ratio of 1 : 7?
(a) 100 liters
(b) 108 liters
(c) 144 liters
(d) 252 liters
(e) None of these
Ans. b
684. Jenny’s average on 4 exams is 80. Assuming she cannot earn more than 100 on any exam, what is the least she can earn on her 5th exam and still have a chance for an average of 84 after seven exams?
(a) 68
(b) 75
(c) 82
(d) 84
(e) None of these
Ans. a
685. Samad was planning on depositing a certain amount of money each month into a bank. He then decided not to make any contributions during May and June. To make the same annual contributions that he had originally planned, by what percent should he increase his monthly deposits?
(a) 16.66%
(b) 20%
(c) 25%
(d) 33%
(e) None of these
Ans. b
686. A salesmen usually makes 45% profit on every TV he sells. During a sale, he reduced his margin of profit to 40% and his sales increased by 10%. What is the ratio of his new profit to his usual profit?
(a) 9:8
(b) 9:10
(c) 11:10
(d) 44: 45
(e) None of these
Ans. d
687. Since 1999, Roby has gained 2 kilograms of weights every year. In 2009 he was 25% heavier than in 1999. How much did Roby weight in 2005.
(a) 72 kg
(b) 80 kg
(c) 92 kg
(d) 100 kg
(e) None of these
Ans. c
688. The length of a rectangle is 6 cm more than the side of a square, and width of the rectangle is 6 cm less than the side of the square. If the area square is 86 cm 2 , what is the area of the rectangle?
(a) 36 cm 2
(b) 40 cm 2
(c) 50 cm 2
(d) 64 cm 2
(e) None of these
Ans. c
689. If x is negative, all BUT which of the following must also be negative?
(a) x 3
(b) 1 x 3
(c) 1 x
(d) 1 x 2
(e) None of these
Ans. d
690. A during store usually sells a certain medicine at 40% profit. During a sale, the medicine was sold for 10% less than the usual price. What percent profit the store made on each of this medicine during the sale?
(a) 4%
(b) 20%
(c) 30%
(d) 26%
(e) None of these
Ans. d
691. If ( x 2 y 2 )= 48 and (x - y)=4, what is the average of x and y?
(a) 12
(b) 10
(c) 8
(d) 6
(e) None of these
Ans. d
692. The average score of students on a certain exam was 85.50. On the same Raju scored 90. What was Raju’s percent deviation from the average score?
(a) 4.5%
(b) 5%
(c) 5.4%
(d) 6%
(e) None of these
Ans. a
Two male singers, Paul and Sam; two female singers, Rita and Mita; two male comedians, Topu and Wahed; and two female comedians, Kate and Lira, are the eight entertainers who are to perform at the National Theater on a certain night. Each entertainer is to perform alone and only once that night. The entertainers may perform in any order that conforms to the followings restrictions:
* The performances by singers and the performances by comedians must alternate throughout the evening.
* The first performance that evening must be by a female entertainer, and the second performance by a male entertainer.
* The final performance must be by a male singer.
693. Which of the following persons could be the first of the entertainers to perform?
(a) Paul
(b) Rita
(c) Lira
(d) Mita
(e) None of these
Ans. c
694. If Rita is to perform fourth, which of the following persons must perform sixth?
(a) Wahed
(b) Sam
(c) Lira
(d) Mita
(e) None of these
Ans. d
695. If lira is to perform seventh, which of the following persons must perform first?
(a) Kate
(b) Rita
(c) Sam
(d) Topu
(e) None of these
Ans. a
696. If Paul is to perform eighth, which of the following persons must perform second?
(a) Wahed
(b) Sam
(c) Topu
(d) Mita
(e) None of these
Ans. b
697. If Kate is to perform third, Mita, forth and Wahed fifth, which of the following persons must perform sixth?
(a) Paul
(b) Rita
(c) Sam
(d) Lira
(e) None of these
Ans. b
698. A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
(a) 1:2
(b) 4:5
(c) 1:1
(d) 3:2
(e) None of these
Ans. a
699. A certain machine produces 1,000 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 7 days?
(a) 7,000
(b) 24,000
(c) 40,000
(d) 168, 000
(e) None of these
Ans. d
700. A police man spots a mugger from a distance of 200 meters. As the police man chasing the mugger, the mugger also starts running. Given that the speed of the mugger is 10 km/h and that of the police man is 12 km/h. how far would have the mugger run before he is caught?
(a) 3 km
(b) 4 km
(c) 2 km
(d) 1 km
(e) None of these
Ans. d