Mathematics | jobtestpaper.com

Subject Mathematics
	2101. The sum of five consecutive integer is 35. How many of them are prime numbers?
	(a) 0
	(b) 1
	(c) 3
	(d) 4
	Ans. c
	2102. If the operation * is defined by a = 2a -2, then what is the value of (*5)?
	(a) 23
	(b) 52
	(c) 14
	(d) 62
	Ans. c
	2103. A truck gets 15 miles per gallon of gas when it is unloaded. When the track is loaded, it travels only 80% as far on gallon of gas as when unloaded. How many gallons will the loaded truck use to travel 80 miles?
	(a) 5 $\frac{1}{3}$
	(b) 6 $\frac{1}{3}$
	(c) 6 $\frac{2}{3}$
	(d) 6
	Ans. c
	2104. If a + 2b = 6 and ab = 4 what is the value of $\frac{2}{a}$ + $\frac{1}{b}$ ?
	(a) $\frac{1}{2}$
	(b) $\frac{3}{2}$
	(c) $\frac{1}{3}$
	(d) $\frac{5}{2}$
	Ans. b
	2105. The sum of three digits x, y and z is 12. What is the largest three digit number that can be formed using each of the digits exactly once?
	(a) 921
	(b) 930
	(c) 903
	(d) 831
	Ans. b
	2106. If the ratio of the radii of two circles is 3 to 2, then the ratio of the areas of the two circle is
	(a) 2 to 3
	(b) 3 to 4
	(c) 9 to 2
	(d) 9 to 4
	Ans. d
	2107. Which of the following number is the least common multiple of the number 2, 3, 4 and 5?
	(a) 24
	(b) 30
	(c) 40
	(d) 60
	Ans. d
	2108. If a and b are integers greater than 100 such that a + b = 300, which of the following could be the exact ratio of a to b?
	(a) 9 to 1
	(b) 5 to 2
	(c) 5 to 3
	(d) 4 to 1
	(e) 3 to 2
	Ans. e
	2109. If 0 < a < b < c < d < e in the equation S = ( $\frac{a}{b}$ ) + ( $\frac{c}{d}$ ) + ( $\frac{1}{e}$ ), then then greatest increase in S would result from adding 1 to the value of which variable?
	(a) a
	(b) b
	(c) c
	(d) d
	(e) e
	Ans. a
	2110. Papia has 16 marbles in her pocket She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of marbles she must take out of her pocket to ensure that she has one of each color?
	(a) a
	(b) 12
	(c) 13
	(d) 16
	(e) 4
	Ans. c
	2111. Two merchants sell, each an article for Tk. 1000. If Merchant A computes his profit on cost price, while Merchant B computes his profit on selling price, they end up making profits of 25% respectively. By how much is the profit made by Merchant B greater than that of Merchant A?
	(a) 66.67
	(b) 50
	(c) 125
	(d) 200
	(e) None of these
	Ans. b
	2112. Alim and Badrul enter into a partnership and Alim invest Tk. 10,000 in the partnership. At the end of 4 months he withdraws Tk. 2000. At the end of another 5 months, he withdraws another Tk. 3000. If Badrul recives Tk. 9600 as his share of the total profit of Tk. 19,100 for the year, how much did Badrul invest in the company?
	(a) 12,000
	(b) 96,000
	(c) 8,000
	(d) 6,000
	(e) None of these
	Ans. c
	2113. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?
	(a) 2
	(b) 4
	(c) 6
	(d) 5
	(e) None of these
	Ans. b
	2114. Rehana leaves her home early in the morining so that she can reach her office on time. If she walks at the rate of 7 km/hr than if she reached her office 8 minutes late. But, if she walks at a speed of 8 km/hr, then she reaches her office 4 minutes early. What is the distance in km between Rehana’s house and her office?
	(a) 10
	(b) 11.2
	(c) 11.5
	(d) 12
	(e) None of these
	Ans. b
	2115. Certain number of children were playing a game of football. There was a trial taking place on the field. In this trail the pribality that a goal is scored is $\frac{2}{5}$ . The probality that a girl hits a goal is $\frac{7}{10}$ wherease the probaity that a boy hits a goal is $\frac{1}{5}$ . What will be the probality that not only a goal is hit but it is also hit by a boy?
	(a) $\frac{14}{50}$
	(b) $\frac{7}{50}$
	(c) $\frac{2}{5}$
	(d) $\frac{2}{25}$
	(e) None of these
	Ans. d
	2116. Which of the following number is not perfect square?
	(a) 2187
	(b) 78125
	(c) 16284
	(d) 3125
	(e) None of these
	Ans. a
	2117. What is the radius of the in-circle of the triangle whose sides measure 5, 12 and 13 units?
	(a) 2
	(b) 12
	(c) 6.5
	(d) 6
	(e) 7.5
	Ans. a
	2118. If -2 < a < 11 and 3 < b < 12, then which of the following is NOT true?
	(a) 1 < a + b < 23
	(b) -14 < a - b < 8
	(c) - 7 < b - a < 14
	(d) 1 < b + a < 23
	(e) -24 < ab < 132
	Ans. c
	2119. A car average 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
	(a) 64
	(b) 36
	(c) 12
	(d) 29
	(e) 42
	Ans. b
	2120. Annie invested a certain sum of money in a bank that paid simple interest. The maoutn grew to Tk. 240 at the end of 2 years. She waited for another 3 years and got a final amount of Tk. 300. What was the principal amount that she invested at the biginning?
	(a) 200
	(b) 150
	(c) 210
	(d) 175
	(e) 250
	Ans. a
	2121. In what ratio should a 20% methly alcohlo solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?
	(a) 1 : 2
	(b) 2 : 1
	(c) 1 : 3
	(d) 3 : 1
	(e) 2 : 3
	Ans. a
	2122. A cube of side 5 cm is painted on all it side. If it is sliced into 1 cubic centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
	(a) 9
	(b) 61
	(c) 98
	(d) 54
	(e) 64
	Ans. d
	2123. The length of a rope, to which a cow is tide, is increased form 19 m to 30 m. How much additional ground will it be able to graze? Assume that the cow is able to move on all sides with equal ease.
	(a) 1696 sq. m
	(b) 1694 sq. m
	(c) 1594 sq. m
	(d) 1756 sq. m
	(e) 1896 sq. m
	Ans. b
	2124. Marium has n chocolates, where n is an integer such that 20 < n < 50. If Marium divides the chocolates equally among 5 children, she will have 2 chocolates remaining. If she divides the chocolates among 6 children, she will have 1 chocolates remaining. How many chocolates will remain if she divides the chocolate among 7 children?
	(a) 0
	(b) 1
	(c) 2
	(d) 3
	(e) 4
	Ans. c
	2125. A group of 10 people plan to contribute equally to pay for a friend’s gift that cost G dollars. If n additional people want to contribute to pay for the gift, the required contribution per person will be reduced by how many dollars?
	(a) $\frac{Gn}{(100 + 10n)}$
	(b) $\frac{(10 + n)}{Gn}$
	(c) $\frac{(10G + Gn)}{n}$
	(d) $\frac{(Gn + 10G)}{Gn - 10}$
	(e) None of these
	Ans. a

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