Subject Mathematics
2076. Last year Asma bought two paintings. This year she sold them for BDT 2000 each. On one painting, she made 25% profit, and on the other painting she has 25% loss. What was he net loss of profit?
(a) Loss < BDT 100
(b) Profit > BDT 100
(c) Loss > BDT 100
(d) No Profit/ No Loss
(e) None of these
Ans. c
2077. Because Meena’s test turned out to be more difficult than she intended it to be, the teacher decided to adjust the grades by deducting only half the number of points a student missed. For example, if a student missed 25 points, she received a 87.5 instead of 75. Before the grades were adjusted the class average was M. What was the average after the adjustment, if the total mark of the rest is 100?
(a) 50 + M 2
(b) 1 2 (100 - M)
(c) 100 - M 2
(d) 1 2 (50 +M)
(e) None of these
Ans. a
2078. What is the measure of the angle formed by the minute but hour hands of a clock 1:50?
(a) 90°
(b) 95°
(c) 105°
(d) 115°
(e) None of these
Ans. d
2079. Rahim mowed 75% of his lawn in 1.25 hours. Mizan, who works twice as fast, then stated the remaining work and finished it. How many minutes did Mizan work?
(a) 12.5
(b) 15
(c) 17.5
(d) 20
(e) None of these
Ans. a
2080. A train flowed 3 miles upstream in 90 minutes. If the river flowed with a current of 2 miles per hour, how long did them man’s return trip take?
(a) 30 min
(b) 60 min
(c) 120 min
(d) 90 min
(e) None of these
Ans. a
2081. If two cards are drawn at random from a deck of 52 cards, what is the probability that both the cards will be form the same suit?
(a) 1 13
(b) 2 51
(c) 3 17
(d) 1 26
(e) None of these
Ans. e
2082. If the radius of a sphere is increased by 50%, by what percent will the volume of the sphere the increased?
(a) 50%
(b) 125%
(c) 150%
(d) 200%
(e) None of these
Ans. e
2083. If 4y -3x = 5, what is the smallest integer value of x for which y > 100?
(a) 130
(b) 131
(c) 132
(d) 395
(e) None of these
Ans. c
2084. If 2x + 3 = 32, what is the value of 3x + 2?
(a) 5
(b) 9
(c) 81
(d) 27
(e) None of these
Ans. e
2085. A 12 gallon tub has a faucet that lets water in at a rate 3 gallons per minute, and has a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to fill the tub completely?
(a) 6 minutes
(b) 7 minutes
(c) 8 minutes
(d) 9 minutes
(e) None of these
Ans. a
2086. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
(a) 12 35
(b) 1 35
(c) 35 8
(d) 7 32
Ans. a
2087. The least number of five digits which is exactly divisible by 12, 15 and 18 is -
(a) 10010
(b) 10015
(c) 10020
(d) 10080
Ans. d
2088. A boy multiplied 423 by a number and obtained 65589 as his answer. If both the five in the answer are wrong and call all other figures are correct, the correct answer is:
(a) 60489
(b) 62189
(c) 61189
(d) 62389
Ans. a
2089. The least perfect square, which is divisible by each 21, 36 and 66 is:
(a) 213444
(b) 214344
(c) 214434
(d) 231444
Ans. a
2090. The average of five consecutive odd numbers is 61. What is the difference the highest and lowest number?
(a) 2
(b) 5
(c) 8
(d) None of these
Ans. c
2091. The sum of two numbers is 22. Five time one number is equal to 6 times the other. The bigger is of the two number is:
(a) 12
(b) 15
(c) 16
(d) 10
Ans. a
2092. At an election involving two candidates, 68 votes were declared invalid. The winning candidate secure 52% and win by 98 votes. The total numbers of votes polled is:
(a) 2382
(b) 2450
(c) 2518
(d) None of these
Ans. c
2093. If 5% more gained by selling an article for Tk. 350 than by selling it for Tk. 340, the cost of the article is:
(a) Tk. 50
(b) Tk. 160
(c) Tk. 200
(d) Tk. 225
Ans. c
2094. x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to:
(a) 3
(b) 9
(c) 1 5
(d) 1 9
Ans. d
2095. If 9 examiners can examine a certain number of answer books in 12 days, working 5 hours a day; for how many hours a day would 4 examiners have to work in order to examine twice the number of answer book in 30 days?
(a) 3
(b) 8
(c) 9
(d) 10
Ans. c
2096. If a person walks at 14km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
(a) 50 km
(b) 56 km
(c) 70 km
(d) 80 km
Ans. a
2097. What will be the difference between simple and compound interest at 10% per annum on a sum of TK. 1000 after 4 years?
(a) TK. 31
(b) TK. 32.10
(c) TK. 40.40
(d) TK. 64.10
Ans. d
2098. Successive discount of 20% and 15% are equal to single discount of
(a) 30%
(b) 32%
(c) 34%
(d) 35%
Ans. b
2099. A car traveled 75% of the way from town A to town B at an average speed of 50 mph. The car travels at an average speed of S mph for the remaining of the trip. The average speed of the entire trip was 40 mph. What is the value of 5?
(a) 10
(b) 20
(c) 25
(d) 30
Ans. c
2100. Monir, Joy and Kamal had lunch together. Kamal’s meal cost 50% more than Joy’s meal and Monir’s meal cost 5 6 as much as Kamal’s meal. If Joy paid Tk. 10 for his meal, what was the total paid for launch?
(a) Tk. 28.33
(b) Tk. 30
(c) Tk. 35
(d) Tk. 37.50
Ans. d