1.
Who won the Nobel Prize in Economics in 2017?
Angus Dealon
Tomash Lindahl
Richarrd H thaker
Paul Modrich
None of these
2.
Six years ago, Kalam was P times as old as Kalam was. If Kalam was. If Rahim is now 17 years old, how old is Kalam now interns of P?
11/P+6
P/11+6
17-P/6
17/P
None of these
3.
If the integer A is multiple of 6, the integer B is multiple of 3 and A>B>0, then <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>A</mi><mn>2</mn></msup><mo>-</mo><msup><mi mathvariant="bold-italic">B</mi><mn mathvariant="bold">22</mn></msup></math> msut be multiple of following integers?
6
8
9
10
None of these
4.
In a class 120 studets are mile and 100 students are female.25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the students passed the exam ?
5%
10%
16%
22%
None of these
5.
P starts jogging from point X to point. half an hour later his friend 'R" who jogs mile per hour slower than twice P's rate starts the same pint and follows the same path. If 'R' overtakes 'P' in 2 hours, how many miles will "R" have covered?
2.2
3.33
<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>48</mn><mo>%</mo><msub><mi>P</mi><mn>2</mn></msub><msub><mi>O</mi><mn>5</mn></msub></math>
6
None of these
6.
Arafat has Tk. 420. he purchased fifty mangoes and thirty oranges with whole amount. He then chose to return six mangoes for nine oranges as both quantities are equality priced. What is the price of each mango?
4.50
5.0
5.50
6.0
None of these
7.
In a legislative body of 200 people the name Democrats is 50 less than 4 times the numbers of Republicans. If one firth of the legislators are neither Republican nor Democrat, how may of the legislators are Republicans?
42
50
71
95
None of these
8.
M is a girl has the same number of brothers as sisters. N is a boy and has twice as amny sisters as brothers. M and n are the children of Q. how many children does Q have?
2
3
5
7
None of these
9.
If the average of 7,13, p and q is 17, what is the average of (p+11) and (q-9)?
50
25
21
14
None of these
10.
Baki lives miles west of Raju's . Rafiq lives 3 lives north of Raju's house and 2 miles west of Diba's house. What is the straght line distance from Baki's House to Diba's house?
5 miles
6 miles
7 miles
10 miles
None of these
11.
Two items were sold together for taka 3600. One item was sold at 20% profit while the other was sold at 20% loss. How much profit or loss was made by the sale?
No profit or less
Tk. 300 profit
Tk. 300 loss
tk. profit
None of these
12. If three metal cubes having sides of 3 cm, 4 cm and 5 cm were melted to make a single cube, what would be the length of the new cube?
13.
How mant psoitive intigers less than 20 are equal to sum of a positive multiple of 3 and a positive multiple of 4?
2
5
7
10
If three metal cubes having sides of 3 cm, 4 cm and 5 cm were melted to make a single cube, what would be the length of the new cube?
14.
Two tanks A and B are are filled with petrol. Tank A holds 600 litre more than tank B. If 100 litre of petrol were taken out from each tank A would then contain 3 times as much petrol as tank B. What is the total number of litre of fuel in the two full tanks?
1400
1200
1000
900
None of these
15.
In a class, average mark in an exam is 70. The average of student of student who scored below 6o is 50. The avearge of srudents who scrord 60 or more is 75 It the total number of students in this calss is 20, how many students scored 60 or more?
4
8
10
16
None of These
16.
In a certain sock drawer, there are 4 pairs black socks, 3 pairs of back socks, 3 pairs of gray of gray socks and 2 pairs of corage socks. It socks removed at random without replaced, what is the minimum number of socks that must removes in order to ensure that two socks of the the same color have been removed?
11
4
3
7
None of these
17.
A business has 1000 kg of rice, part of which he sells at 8% profi and rest at 18% profit. He gains 14% on the whole. How much rice did he sell at 18% profit?
400 kg
600 kg
640 kg
700 kg
None of these
18.
If a, b,c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product abcs?
-480
-1800
-3600
-4320
None of these
19.
The sumof the pre-tax costs of items A ans item B is Tk. 300. In dhaka, each item would be charged a flat 7% tax. In Rangpur item A is subject to 5% tax and item b is subject to 10% tax. If the tax in Rangpur on the purchase of both items is exactly Tk 3 more than it is in Dhaka, than what is the pre - tax price of item A?
120
209
300
None of these
20.
If the average of seven consecutive integers is k+2, then the product of the greatest and least integers is____
<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>k</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mi>k</mi><mo>-</mo><mn>5</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>k</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mi>k</mi><mo>+</mo><mn>9</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>k</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mi>k</mi><mo>+</mo><mn>9</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>k</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>k</mi><mo>+</mo><mn>1</mn></math>
None of these
21.
If the circle with center O has area 9π what is the area of equilateral triangle ABC?
<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><msqrt><mn>3</mn></msqrt></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn><msqrt><mn>3</mn></msqrt></math>
18
24
None these
22.
If 3/4 of the number of women working at company X is equal to 2/3 of the number of men, what fraction of the employees at companyat company X are women5
5/12
1/2
7/12
3/12
None of these
23.
It takes 1 pound of flour to make y cake. The once of flour is w dollars for x pounds In terms of w, of w, x and y,what is the dollars cost of the flour required to amke 1 cake?
xy/w
w/xy
y/wx
wx/y
None o these
24.
Solution Y is 40 percent sugar by volume and solution X is 20 percent sugar by volume. how many gallons of solution that is 25 percent sugar by volume/
75
150
240
450
None of these
25.
A and B started a partnership business investing some in the ratio of 3:5 , C joined them after six months with an amount equal to that of B. In what proportion joined them after six months with an amount equal that of B. In what proportion should the profit at the and of the first year distributed among A. B and C
3:5:2
3:5:5
6:10:5
cannot be determined
None of these
26. Jesmin spent tone -third of her money on books and half of the remaining money on clothing . She then spent three -fourths of what she had left on food .she had 500 left over . How much money did she start with?
27. In the last week of a month , a car dealer sold 12 cars .A new sales promotion came out the first week of the next month and he sold 19 cars that week . what was the percent increase in sales form the last week of the previous month compared to the first week of the next month ?
28. which of the following fractions is the equivalent of 0.5% ?
29. If the value of X and Y in the fraction XZ/Y are both tripled , how does the value of the fraction change ?
30. If r = 5z and 15 z = 3y , then r =?
31. A ferry can carry 24 buses or 36 cars at a time , If there are 18 buses on the ferry . how many cars can be loaded onto it?
32. The electric company charges Tk. 0.30 per kilowatt -hour (KWH). Rahim used 28000 KWH in April , 32 00 KWH in May, and 36ooo KWH in June . What was his average cost least one of each colour?
33. In his pocket , a boy has 3 red marbles , 4 blue marbles , and 4 green marbles , How many marbles will he have to take out of his pocket to ensure that he has taken out at least one of each colour?
34. what is the sum of 0.15 , 0.10 and 0.65 ?
35. If 4 times an integer x is increased by 10 , the result is always greater than 18 and less than 34. what is the least value of x ?
36. when 4 is added to one half of a number , the result is 14 . what is the number ?
37. In a triangle the lengths of two sides are 5 and 9 and the length of the third side is represented by x. which statement is always true ?
38. Zinat's father contributes to his daughter's saving by giving he 10% of her total saving. If zinat saves Tk. 100 in june , Tk. 250 in july and TK. 130 in August , how much will she have in savings in tk. at the end of that time. ?
39. What is the rate of discount if a car that had a regular price of TK. 30,00,000 is sold for TK. 27, 90, 000?
40. The average of X and Y is 40 , and the average of Y and Z is 35. What is the value of (x -z) . ?
41.
<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><mi>f</mi><mo> </mo><mi>x</mi><mo> </mo><mo>≥</mo><mn>8</mn><mo> </mo><mi>a</mi><mi>n</mi><mi>d</mi><mo> </mo><mi>y</mi><mo> </mo><mo> </mo><mo>≤</mo><mn>3</mn><mo>,</mo><mi>i</mi><mi>t</mi><mo> </mo><mi>m</mi><mi>u</mi><mi>s</mi><mi>t</mi><mo> </mo><mi>b</mi><mi>e</mi><mo> </mo><mi>t</mi><mi>r</mi><mi>u</mi><mi>e</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>a</mi><mi>t</mi></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>+</mo><mi>y</mi><mo>≤</mo><mn>5</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>+</mo><mi>y</mi><mo>≤</mo><mn>11</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi>y</mi><mo>≥</mo><mn>5</mn></math>
<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mi>y</mi><mo>≤</mo><mn>5</mn></math>
42.
Certain number of children were playing a game of football. There was a trial taking place on the field. In this trial the probability that a goal is scored is 2/5. The probability that a girl hits a goal is 7/10 whereas the probability that a boy hits a goal is 1/5. What will be the probability that not only a goal is hit but it is also hit by a boy?
14/50
7/50
2/5
2/25
43.
Rehana leaves her home early in the morning so that she can reach her office on time. If she walks at the rate of 7 km/hr, then she reaches 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?
10.5
11.2
11.5
12.2
44.
Alim and Badrul enter in to a partnership and Alim invests Tk. 10,000 in the partnership. At the end of 4 months he withdraws another Tk. 3000. If Badrul receives Tk. 9600 as his share of the total profit of Tk. 19,100 for the year, how much did Badrul invest in the company?
Tk. 12,000
Tk. 96,000
Tk, 8,000
Tk. 6,000
45.
Two merchants each sell an article for Tk.1000. If Merchant a computes his profit on cost price, while Merchant B computer 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?
Tk. 66.67
Tk. 50
Tk. 125
Tk. 200
46.
Rahim averaged 70 in his first m number of exams. After taking n more exams, he had an overall average of 75. In terms of m and n, his average for the last n exams was
(5m+75)/n
(5m/n)+75
(5n/m)+75
None of these
47.
A store has five shelves and average weekly sale is Tk. 30000. Shelf 1 accounted for 1/4 of the store's average weekly sales and shelves 2 and 3 each accounted for 2/3 as much as shelf 1. The shelf 4 alone accounted for as much as shelf 1, then which of the following could have been the average weekly sales of shelf 5 for the store?
Tk. 4000
Tk. 6500
Tk. 500
None of these
48.
Recently, Sohan's hourly wage has been increase, Sohan's total weekly wage was $137. If his weekly hours were to decrease by 10 percent from last week's total hours, what would be the change, if any, in Sohan's total weekly wage?
An increase of $1.37
An increase of $0.55
A decrease of $0.55
A decrease of $1.37
49.
In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?
1 : 2
2 : 1
1 : 3
3 : 1
50.
70 students are enrolled in Management, Accounting and Marketing. 40 students are in Management, 35 are in Accounting, and 30 are in Marketing. 15 students are enrolled in all three courses. How many of the students are enrolled in exactly two of the courses?
8
5
6
9
51.
.In a class of 55 students, 18 take music, 26 take art, and 2 take both art and music. How many students in the class are not enrolled in either music or art?
6
8
16
24
52.
A small square region inside a larger square is shaded. The diagonal of the larger square is three times the diagonal of the small square in length. What fraction of the area of the larger square is not shaded?
1/9
1/3
2/3
8/9
53.
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight line) distance, in inches, between any two points on the box?
15
20
25
10
54.
The probability is 1/2 that a coin will turn up heads on any toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
1/8
1/2
7/8
None of these
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight line) distance, in inches, between any two points on the box?
55.
If a square mirror has a 20-inch diagonal, what is the approximate perimeter of the mirror, in inches?
40
60
80
None of these
56.
If a, b, and c are three sides of a right angled triangle triangle, which of the following statements cannot be true?
a=b=c
a>b and a>c
b=c or a=c or a=b
None of these
57.
The cost of four rolls, six samuchas and three loaves of bread is Tk. 91. The cost of two rolls, three samuchas and one loaf of bread is Tk. 39. What is the cost of one loaf of bread?
Tk. 10.50
Tk. 11.00
Tk. 12.00
Tk. 13.00
58.
If y=(3x-6)/x, than for what values of x, y will be positive?
x>2 or x<0
x>0
-2
None of these