Subject Mathematics
2051. কোন জাতি বৃত্তকে প্রথম ৩৬০ ডিগ্রিতে ভাগ করে?
(a) ক্যালভীয়রা (ক্যালডীয়রা)
(b) আসিরীয়রা
(c) গ্রিকরা
(d) ব্যালবিলীয়রা
Ans. b
2052. What percentage of numbers from 1 to 80 has 0 or 5 in the unit’s digit?
(a) 10%
(b) 14%
(c) 20%
(d) 21%
(e) None of these
Ans. c
2053. The length, width, and depth of a rectangular box are 6 feet, 5 feet, and 7 feet respectively. A pipe supplies water at a rate of 6 cubic feet per minute. How much time, in minutes, would it take for the pipe to fill a conical box whose volume is three times the volume of the rectangular box?
(a) 105
(b) 125
(c) 205
(d) 235
(e) None of these
Ans. a
2054. A rectangular field is 3.2 yards long. A fence marking the boundary is 11.2 yards in length. What is the area of the field in square yards?
(a) 4.68
(b) 7.68
(c) 9.28
(d) 11.28
(e) None of these
Ans. b
2055. The side length of a square inscribed in a circle is 2. What is the area of the circle?
(a) π
(b) √2π
(c) 2√2π
(d) π ²
(e) 2π
Ans. e
2056. Akash bought two varieties of rice, costing Tk. 50/kg and Tk. 60/kg each, and mixed them in some ratio. Then he sold the mixture at Tk. 70/kg, making a profit of 20%. What was the ratio of the mixture?
(a) 1 : 10
(b) 1 : 5
(c) 2 : 7
(d) 3 : 8
(e) 5 : 7
Ans. b
2057. A company generated revenue of Tk. 125,000 in 2012 which was 12.5% of its gross revenue. In 2013 the gross revenue increased by Tk. 250,000. What is the percentage increase in the revenue in 2013?
(a) 12.5%
(b) 20%
(c) 25%
(d) 50%
(e) 66.3%
Ans. c
2058. If w is 10 percent less than x, and y is 30 percent less than z, then wy what percent less than xz?
(a) 10%
(b) 20%
(c) 37%
(d) 40%
(e) 100%
Ans. c
2059. In a class, 120 students are male and 100 students are female. 25% of the make students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?
(a) 15%
(b) 10%
(c) 16%
(d) 22%
(e) 25%
Ans. d
2060. A total of Tk. 1200 is deposited in two savings accounts for one year, one portion at 5% simple interest, and the rest at 7% simple interest. If Tk. 72 was earned in interest, how much was deposited at 5%
(a) Tk. 410
(b) Tk. 520
(c) Tk.600
(d) Tk. 650
(e) Tk. 760
Ans. c
2061. The combined salary of X, Y and Z is Tk. 90,000. X earns twice of what Z earns, and Y ears 1.5 times of what Z earns. What is the lowest salary of the three?
(a) Tk. 20,000
(b) Tk. 22,000
(c) Tk. 25,000
(d) Tk. 30,000
(e) Tk. 40,000
Ans. a
2062. A worker was hired for 7 days. Each day, he was paid Tk. 10 more than what he was paid for the previous day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?
(a) Tk. 90
(b) Tk. 138
(c) Tk. 153
(d) Tk. 160
(e) Tk. 163
Ans. a
2063. A survey of n people in the town A found that 50% of them prefer Brand X. Another survey of 100 people in the town B found that 60% prefer Brand X. In total, 55% of all the people surveyed together prefer Brand X. What is the total number of people surveyed?
(a) 50
(b) 100
(c) 150
(d) 200
(e) 250
Ans. d
2064. The remainder when the positive integer m is divided by 7 is x. the remainder is (x + 7) when m is divided by 14. Which one of the following could be the value of m.
(a) 45
(b) 53
(c) 72
(d) 85
(e) 100
Ans. b
2065. What decimal of an hour is a second?
(a) 0.0025
(b) 0.0256
(c) 0.00027
(d) 0.000126
Ans. c
2066. The average of 2, 7, 6 and x is 5 and the average of 1, 1, 6, x and y is 10. What is the value of y?
(a) 5
(b) 10
(c) 20
(d) 30
Ans. c
2067. How may pieces of 85 cm length can be cut from a rod 42.5 meters long?
(a) 30
(b) 40
(c) 60
(d) None of these
Ans. d
2068. The last number which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is
(a) 1600
(b) 3600
(c) 6400
(d) 144000
Ans. b
2069. Two trains are running on parallel lines in the same direction at a speed of 50km/hr and 30 km/hr respectively. The faster train crosses a man sitting in the slower in 18 seconds. What is the length of the faster train?
(a) 107 m
(b) 150 m
(c) 100 m
(d) 64 m
(e) None of these
Ans. c
2070. Sterling silver is 92.5% pure silver. How many grams of sterling silver must be mixed to a 90% silver alloy to obtain a 500 gm of a 91% silver alloy?
(a) 100
(b) 150
(c) 200
(d) 250
(e) None of these
Ans. c
2071. If the sum of the positive even integers less than 1000 is S, what is the sum of all the positive odd integers less than 1000?
(a) S - 998
(b) S - 499
(c) S + 1
(d) S + 499
(e) None of these
Ans. e
2072. A school’s honor society has 100 members: 40 boys and 60 girls, of whom 30 are juniors and 70 are seniors. What is the smallest possible number of senior boys in the society?
(a) 0
(b) 5
(c) 10
(d) 15
(e) None of these
Ans. c
2073. If (x + 2y ) = a and (x – 2y) = b, which of the following expression is equal to xy?
(a) ab
(b) (a + b) 2
(c) (a² - b²) 8
(d) (a² - b²) 4
(e) None of these
Ans. c
2074. A student’s marks were wrongly entered as 83 instead of 63. Due to this mistake, average marks of the class got increased by half (0.5). what is the number of students in the class?
(a) 50
(b) 20
(c) 30
(d) 40
(e) None of these
Ans. d
2075. In a class, 50% of the male students and 2 3 of the female students speak French. If there are 3 4 as many girls as boys, what fraction of the entire class speak French?
(a) 4 7
(b) 3 4
(c) 1 4
(d) 2 3
(e) None of these
Ans. a