1. ক ঘণ্টায় ১০ কি.মি এবং খ ১৫ কি.মি বেগে একই সময় একই স্থানে থেকে রাজশাহীর পথে রওয়ানা হলো। ক ১০ টা বেজে ১০ মিনিটের সময় এবং খ ৯ টা বেজে ৪০ মিনিটের সময় রাজশাহী পৌঁছাল। রওয়ানা হওয়ার স্থান থেকে রাজশাহীর দূরত্ব কি.মি?

2. শামীম ও রুমানা একত্রে একটি ভবনের ডিজাইন ১২ দিনে শেষ করতে পারে। শামীম একা ডিজাইনটি ২০ দিনে শেষ করতে পারে। যদি রুমানা একা ডিজাইনটি নিয়ে কাজ করে তাহলে সে কত দিনে ডিজাইনটি শেষ করতে পারবে?

3. পরপর তিনটি সংখ্যার গুণফল ১২০ হলে তাদের যোগফল কত হবে?

4. ৯, ৩৬, ৮১, ১৪৪ ......... এর পরবর্তী সংখ্যাটি কত?

5. একটি কাঠের টুকরার দৈর্ঘ্য আরেকটি দৈর্ঘ্যে ৩ গুণ। টুকরো দুটি সংযুক্ত করা হলে সংযুক্ত টুকরাটির দৈর্ঘ্য ছোট টুকরার চেয়ে কত গুণ কড় হবে?

6. একটি ক্রিকেট দলের যতজন ষ্ট্যাম্প আউট হলো তার দেড়গুণ কট হলো এবং মোট দশ উইকেটের অর্ধেক বোল্ড আউট হলো। এ দলের কতজন কট আউট হলো?

7. জামিল বাজার থেকে টাকায় তিনটি করে লেবু ক্রয় করে টাকায় দুটি করে বিক্রয় করলে শতকরা কত লাভ হবে?

8. দুটি সন্নিহিত কোণের সমষ্টি দুই সমকোণ হলে একটিকে অপরটির কী বলে?

9. A bottle and a cork together cost a producer Tk 11. The bottle costs Tk 10 more than the cork. How much does the cork cost in taka?

10. A man and his wife have seven sons, and every one of the sons has a sister. How many are there in the family?

11. A person is hired for a job that Tk. 500 per month and receives a 10% raise in each following month. In the fourth month, how much will that person earn (in taka)?

12. What is 10% of y/3, if 2y/3 is 10% of 400?

13. If the sum of 3 consecutive integers is 210, then the sum of the two smaller integers is :

14. The length of a room is 1.5 times of its breadth. If the area of the room is 216 sq. meter, what is the perimeter of the room?

15. Three workers can do a job 12 days. Two of the workers work twice as fast as the third. How long would it take one of the faster workers to do the job alone?

16. The length of a rectangle is increased by 50%. By what percent would the width have to be decreased to maintain the same area?

17. If A : B= 1 : 2, B : C = 4 : 3 and A + B + C = 450, what is the value of B?

18. If a man was r years old s years ago, how many years old will he be t years from now?

19. A trader purchased some pens for Tk. 150. If the price of each pen was Tk. 5 less, he would have got 5 more pens. How many pens did he buy?

20. If 3 tailors can make 60 shirts per day, how many days will it take 6 tailors to make 120 shirts?

21. If x is 2/5 of y and y is 5/7 of z, what is the ratio of z : x?

22. It costs Tk. 1000 to make the first thousand copies of a book and x taka to make each additional copies. If a total of 6000 copies were made with a total cost of Tk. 5500, what is X?

23. If 89 and 125 is divided by a positive integer X, then the remainders are 4 and 6 respectively.

24. Which of the following is the largest?

25. If 3x+2>2x+7, then x is

26. If m men can paint a house in d days, how many days will it take m+2 men to paint the same house?

27. If one angle of a triangle is three times a second angle and the third is 20 degrees more than the second angle, the second angle, in degrees, is

28. The width of a rectangular plot was reduced by 30% and the length was reduced by 10%. The size of the new plot is what percent of the original plot?

29. A rectangular area of 16 meters by 12 meters, is surrounded by a road 3 meters wide. The area of the road is :

30. If x

31. Mr. Arif can complete a job in 15 minutes, while Mr. Asif takes twice as long to do the same job. If they work together, how many minutes will they require to complete the job?

32. If x+y=8p and x-y=6q, then x is

33. A man travels a distance of 10 miles at 20 miles per hour and returns over the same route at 30 miles per hour. What is his average speed for the round trip in miles per hour?

34. The average of 2 numbers is X. If one of the numbers is A, the other number is

35. If a=b and 1/c=b then c=

36. In a class, 30% of the students are from Dhaka District and 20% of them from Dhaka city. What percent of the total students are from Dhaka city?

37. What is the cost, in taka, of a carpet x yards long and y yards wide, if the cost of carpet is Tk. 5 per square ft.?

38. If 850+x+y-640=342, and if x=2y then y=

39. A manufacturer of TV wants to make a profit of Tk. 300,000 on sale of 200 TV sets. It costs Tk. 10,000 each to make the first 100 TV sets and Tk. 7,500 each to make TV sets after the first 100 sets. What should be the selling price of each TV sets in Taka?

40. Lines joining points (-4, 0), (0, 5) and (4, 0) will form

41. A hawker takes 1.25 hours to deliver newspapers on his route. Another hawker takes 15 minutes longer to deliver these papers on the same route. How long would it take to deliver the papers if both of them worked together?

42. Increasing the original price of an item by 15 percent and then increasing the new price by another 15 percent is equivalent to increasing the original price by

43. If x+y>4 and x<3 then y>1 is true

44. If 4x-7 <2x+13, then which of the following must be true?

45. In a group of 15 high school students, 7 study Latin, 8 study French and 3 study neither Latin nor French. How many students study both Latin and French?

46. If point P is on line AB, which of the following is always true?

47. If x+y>4 and x<3, then y>1 is true.

48. If b<2 and 2x-3b = 0, which of the following must be true?

49. A collection of books went on sale and 2/3 of these were sold for Tk. 2.30 each. If none of 36 remaining books were sold, what was the total amount received from the number of books sold?

50. In a factory there are 3 machines to perform a job. The newest machine can do the job in 3 days, another machine can do it in 4 days, and the third machine can do it in 6 days. How many days will the factory take to do the job using all three machines together?

51. How many tiles each of 1 square foot are necessary to form a 1 foot border around the inside of a 24 feet by 14 feet room?

52. An item is sold for $65.00 giving the retailer a profit of 30% of the cost. What will be the new retail price if the retailer cuts his profit to 10% of costs?

53. Molasses cost Tk. x for the first 1.5 kg at 'Prabartana'. All amount in addition to first 1.5 kg cost Tk. 50 per kg. How much does it cost to buy 5 kg molasses from 'prabartana'?

54. How many students can sit in a room with n single chairs and b doubleseated benches?

55. If ab-2cd = p; 6cd-3ab=1; what is the value of p?

56. For every Christian person in a representative committee there are two Hindus and for each Hindu person there are seven Muslims. This policy represents the ratio of different religions in a population. Express the ratio of Muslims to Hindus to Christians in that population.

57. In a room, all except 18 of the people are over 50 years of age. 15 of the people in the room are under 50 years of age. If 10% of the people are at the age of 50 years, how many people are in the room>

58. A time study specialist has set the production rate for each worker on a job at 22 units every three hours. At this rate, what is the minimum number of workers that should be put on the job, if at least 90 units are to be produced per hour?

59. A post office imposes a service charge of Tk. 75 per money order of the amount of Tk. 2,500 or less, and Tk. 100 per money order of the amount from Tk. 2,501 through Tk. 70,000. If Mariam makes 3 money orders of Tk. 1,825, Tk. 2,500 and Tk. 12,750, what is the total service charge she needs to pay?

60. A man has 72 green marbles and 108 red marbles. He decides to pack them into packets of the same size, each containing either all red of all green marbles. What is the maximum number of marbles he can put in each packet?

61. Jahirul and Jalil agree to from a partnership. The partnership agreement requires that Jahirul invests Tk. 7000.00 less than one half of what Jalil invests. If the total investment is Tk. 1,25,000.00, how much does Jalil invest?

62. Muzahid wants to borrow Tk. 2,00,000 from a bank. The amount with interest rate of 15% is to be repaid 18 months from now. How much will be the repayment amount?

63. Aslam drove west 10 miles, south 5 miles, west 30 miles and north 35 miles to avoid paying a toll on a direct road. What is the length of the toll road in miles?

64. If y = (3x-6)/ x, then for what values of x, y will be positive?

65. $0.{04}^{-2}\times 0.2^2\times \sqrt{4}\times 0.{01}^{-3}/({10}^3\times 0.1^{-3})$=?

66. A small factory with 3 machines has a job of stamping out a number of pan covers. The newest machine can do the job in 3 days, another machine can do it in 4 days, and the third machine can do it in 6 days. How many days will the factory take to do the job using all three machines?

67. Jennifer purchased 140 shares of a stock at Tk. 135.50 per share and paid a commission of 0.6%. What was her total investment in taka?

68. Two-thirds of the teachers of high school are women, twelve of the male teachers are unmarried while 3/5 of the male teachers are there in the school?

69. How many spokes are there in a wheel of a sports car, if any two consecutive spokes form an angle of 15 degree?

70. Half the graduating class of a college was accepted by a business school. One-third of the class was accepted by a law school. It one-fifth of the class was accepted by both types of school, what fraction of the class was accepted only by a law school?

71. A merchant was selling an item at a certain price, then marked it down 20% for spring sale. During the summer, he marked the item down another 20% from its spring price. If the item was sold at the summer price, what percent of the original price did it sell for?

72. A man buys eggs at the rate of Tk. 7.2 per dozen eggs and sells them at taka 70 per 100 eggs. If his profit is Tk. 30, how many eggs did he buy?

73. If 3x-4y>2x+3y, then which of the following must be true?

74. A car passes Dhaka at 9:55 am and Gazipur at 10:15 am. Gazipur is 30 miles from Dhaka. What is the average speed of the car in miles per hour?

75. Mr. Arif left Tk. 50 lac to his three sons-Abu, Bony and Chinu. The money was distributed amongst the sons in such a way that for every 1 Tk. Abu received, Bony received Tk. 1.5 and Chinu received Tk. 2.5. How much money did Bony receive?

76. The XYZ Corporation sells pens, pencils, and erasers. The pens make up 2/5 of all sales, the pencils 1/10 of pens and the erasers 1/2 of pens and pencils together. What percentage of all sales is for eraser?

77. A candy dealer makes up a mixture of 3 parts of candy costing him Tk. 60 per pound with 2 parts of candy costing him Tk. 70 per pound and 2 parts of candy costing him Tk. 50 per pound. At what price per pound should he sell his mixture to make a profit of 25 percent?

78. After working for a total of 4 hours at temporary job we were told that we had just completed 1/4 of the task. How much longer in hour should it take us to finish the entire job?

79. Today Jim is twice as old as Fred and Sam is 2 years younger than Fred. Four years ago Jim was 4 times as Sam. How old is Jim now?

80. Pasha is paid an hourly rate of Tk. 11 with overtime at 1.5 times the hourly rate for any hours in excess of 40 per week. In addition, he also receives a 6% commission on all sales over Tk. 2,500 per week. He worked for 53 hours last week and had sales of Tk. 8,659. What were his gross earnings in Tk. for the week?

81. A 60-gallon tank is 60% full of water. If 50% of the water is poured in a 90-gallon tank, what percent of the 40-gallon tank is filled?

82. A triangle has a base x and an altitude y. A second triangle has a base twice the altitude of the first triangle, and an altitude twice the base of the first triangle. What is the area of the second triangle?

83. How many tiles each 1 foot square are necessary to form a 1 foot border around the inside of a room 24 feet by 14 feet?

84. There are 8 job applicants sitting, in waiting room, 4 women and 4 men. If two of the applicants are selected at random, what is the probability that both will be women?

85. If a : b = 4 : 7 and b : c = 5 : 6, than a : b : c =?

86. One-fourth of the students of a school play cricket and two-third of the rest play football. The remaining 400 students do not play either of the games. How many students are there in the school?

87. How many pupils can be seated in a room with N single chairs and B double seated benches?

88. In Rajshahi 5 adults are unemployed for every 120 who have jobs. Out of 2,125 adults how many have jobs?

89. A man 6 feet tall casts a shadow 4 feet long, at the same time a flagpole casts a shadow which is 50 feet long. How long is the flagpole?

90. What are all the values of x that satisfy the equation x2+4x+3 = 0?

91. If $1\frac{1}{4}$ 10 and $y\le 7,$ which of the following must be true?

92. The water in a fish tank measuring $1\frac{1}{4}$ $1\frac{1}{4}$$1\frac{1}{4}$ feet by 8 inches is 7 inches high. The water is poured into another tank measuring 14 inches by 20 inches. What will be the height of water, in inches, in the second tank?

93. A farmer has two rectangular fields. The larger has twice the length and four times the width of the smaller field. If the smaller field has area k, then the area of the larger field is greater than the area of the smaller field by what amount?

94. Two third of the faculty members of a department are female. Twelve of the male faculty members are unmarried, while 60% of them are married. The total number of faculty members in the department is :

95. Shahin has purchased a square sheet of plywood of 169 square feet area. To cover a wall he must cut off two feet from a side. What is the area, in square feet, of the wall?

96. A bonus of Tk. 25,000 will be distributed among three salespersons in proportion of the amounts by which their sales exceed the basic quota of Tk. 200,000. Mrs. Asha sold Tk. 600,000. Mr. Bashir sold Tk. 450,000, and Mr. Saif sold Tk. 300,000. How much did Mr. Saif receive from this bonus?

97. One thousand shares of Luis Inc. Were purchased at Tk. 8.75 per share. The share price rose 215% in the first year after purchase, dropped 40% in the second year, and then dropped another 20% in the third year. What is the price per share at the end of the third year?

98. The average weight for a group of 20 women is 130 pounds. If the average weight for 75% of these women was 140 pounds, what was the average weight, in pounds, for the rest of the women?

99. Half of the students of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school?

100. If y = (3x-6)/x, for what values of x, will be positive?

101. If x = 2y = 3z = 36 then the arithmetic mean of x, y, z is :

102. Out of the 30,000 tickets for the cricket tournament in Dhaka, 1/4 were sold at Tk. 300, 1/3 were sold at Tk. 250 and the rest were sold for Tk. 125. How many tickets were sold at Tk. 125?

103. The elevator in an eleven-storied office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and letting down passengers. At the main floor and at the top floor the operator stops for 1 minute. How many complete (with return) trips will the operator makes during a 7-hour period?

104. If x : y = 2 : 3, and m : n= 9 : 4, find the ratio xn : ym.

105. A petrol tank that is 1/2 full has 8 gallons petrol removed. The tank is then 1/10 full. What is the capacity, in gallons, of the tank?

106. 3x-1#2x is true for all values of x EXCEPT

107. A wheel rotates 10 times per minute and moves 20 feet during each rotation. How many feet does the wheel move in 1 hour?

108. A boat sails m miles upstream at the rate of r miles per hour. If the rate of the stream is s miles per hour, how long will it take the boat to return to its starting point?

109. A man has 72 green marbles and 108 red marbles. He decides to pack them into packets of the same size, each containing either all red or all green marbles. What is the greatest number of marbles he can put in each packet?

110. A car travels 180 km from A to B at 60 kilometers per hour and returns from B to A along the same route at 90 kilometers per hour. The average speed, in kilometers per hour, for the round trip is :

111. If both ${13}^2$and $3^3$ are factors of the number $4^3\times 6^2\times Z\times 8^{11}$ then what is the smallest possible value of z?

112. which of the following equations has a root in common with $x^2-6x+5=0?$

113. The arithmetic mean of the 5 consecutive integers starting with 'p' is 'q'. What is the arithmetic mean of 9 consecutive integers that start with (p+2)?

114. A shopkeeper makes a loss of 12% by selling an item at 80% of its marked price. What will be the percent profit made by the shopkeeper if he sells the item at 95% of its marked price?

115. Among the 120 students of a class, numbered 1 to 120, all even numbered students opt for Bangla, whose numbers are divisible by 5 opt for English and those numbers are divisible by 7 opt for Math. How many opt for none of these three subjects?

116. A rectangular field of 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m, what is the area covered by the two roads?

117. A garments factory employs 3 categories of workers K, M and N. The efficiency of the 3 categories of workers to do a specific task is in the ratio of 3 : 5 : 6 respectively and the factory employs 15 of category K, 12 of category M and 3 of category N. If the total wages paid to the entire group of 30 workers is Tk. 492 per hour, what will be the wages earned by a category N worker for an 8-hour day?

118. Three athletes X, Y and Z start running around a circular track of length 60m from the same point simultaneously in the same direction at speeds of 3 m/s, 5 m/s, and 9 m/s respectively. After how long will they meet for the first time after they started running?

119. 60% of the students of a college are male. 60% of the male in the college speak French and 40% of the students of the college speak French. What percent of the female in the college do not speak French?

120. Goni went to market with certain amount of money. With this money he can buy either 50 apples or 40 pears. He retains 10% of the money for bus fare and buys 20 pears. How many apples can be buy? Updated: 1 month ago

121. In a 100m race, Jami beats Rony by 4 sec. If Jami allowed Rony to start 16m ahead of him, then Jami and Rony reach the finishing point at the same time. How long does Jami take to run the 100m race?

122. A retail store regularly sells all stock at a discount of 25% to 40%. If an additional 25% were deducted from the discount price during a special sale, what would be the lowest possible price of an item costing Tk. 140 before any discount?

123. In a certain fashion house, which has four sizes of a specific shirt, there is one-third as many small shirts as medium shirts, and 1/2 as many large shirts as small shirts. If there are as many X-large shirts as large shirts, what percent of the shirts in the store are medium?

124. Tk. 10,000 is divided among Saju, Setu, Raji and Joi by 1 : 2 : 3 : 4 ratio. How much money did Setu get?

125. How much longer in required to drive one mile at 60 miles/hour than at 100 miles/hour?

126. From 7 : 00 AM to 11:00 AM it rained 2.25 inches. At 11:00 AM the rain increased ti fall at a rate of 1.25 inches every two hours. How many inches of rain landed on the ground by 5:00 PM?

127. Sobuj bought three pieces of material. The first piece is 1 yard 2 feet 6 inches long, the second piece is 2 yards 1 feet 5 inches long, and the third piece is 4 yards 2 feet 7 inches long. If the cost of the material is Tk. 36 per yard, how much did Sobuj spent?

128. During a sale, a furniture shop gives 50% off on the retail price of a desk. On Friday, it gives an additional 20% off on all furniture. The desk's retail price was Tk. 320. How much will the desh cost on Friday?

129. The sum of the non-prime numbers between 40 and 50, non-inclusive, is ---

130. Mrs. Hena needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Mrs. Hena has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?

131. At a certain high school, the respective weights for the following subjects are : General Math 3, Bangla 3, History 2, Science 2 and Art 1. What is a student's average whose marks were the following : Geometry 89, Bangla Literature 92, History 94, Biology 81, and Sculpture 85?

132. Shabnam, a student of science group, is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?

133. Jony weighs twice as much as Suzan's. Suzan's weight is 60% of Sami's weight. Manik's weight is 50% of Lynda's weight. Lynda weight 190% of Jony's weight. Which of these 5 people weight the least?

134. Mr. Ramzan, owner of a departmental store, decided to raise the price of a particular item by exactly 10%. Of the following which cannot be the new price?

135. If x = 2y = 3z and xyz =36, what is the value of z ?

136. P,Q,R and S are four men , p is the oldest but not the poorest. R is the richest but not the oldest. Q is older than S but not than P or R, P is richer than Q but not than S .The four men can be ordered descending in respectof age and richness respectively, as

137. Who ranks fourth in the sequence of reaching office?

138. Among the executives who reaches office first?

139. If x=2y =3z and xyz=36, what is the value of z?

140. At a particular moment, if the angle between the hour hand and the minute hand of a clock is 105 , what was the time by the clock at that time?

141. After being dropped, a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?

142. Reza's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 is to 2 and the ratio of Indian to British stamps is 5 is to 1, what is the ratio of US to British stamps

143. A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased?

144. If the average of 7, 13, p and q is 17, what is the average of (p+11) and (q-9)?

145. On Tuesday, 30 of the students in a class took a test and their average score was 83.5. On Thursday, the other 5 students took the test, and their average score was 94. What was the average for the entire class?

146. Baki lives 2 miles west of Raju's house. Rafiq lives 3 miles north of Raju's house and 2 miles west Diba's house. What is the straight-line distance from Baki's house to Diba's house?

147. If (a+a+a)=(b+b+b+b)and (a+b)=7, then what is the value of (a2-b2)?

148. In a certain country, a person is born every 7 seconds and a person dies in every 13 seconds. Therefore, the birth and death rates account for a population growth rate of one person every----

149. In a survey, it was found that 65% of the people surveyed watched the news on television, 40% read it on newspaper, and 25% read a newspaper and watched the news on television. What percent of the people surveyed neither watched the news on television nor read a newspaper?

150. In a college, 45% of the students are boys. If 40% of the boys and 20% of the girls went on a picnic, what percentage of the total students went to the picnic?

151. An amount of money was distributed among some people in such a way that it there had been 4 more people, everyone would have got Tk. 16 less. But if there had been 4 less people everyone would have got Tk. 24 more. How many people were there in the group?

152. An ambulance travels 10 miles at a speed of 75 mi,es per hour. How fast must the ambulance travel on the return trip if the round-trip travel time is to be 20 minutes?

153. A bicycle has two wheels (one large and one small) of 120 cm and 40 cm in diameters. When the large wheel makes 10 revolutions, how many revolutions does the small wheel make in that time?

154. The average of five numbers is 25. After one if the numbers is removed, the average of the remaining is 31. What number has been removed?

155. A ferry, when empty, travels twice as fast as when it is full. It travels 20 miles south with a cargo, spends 30 minutes for unloading, and returns to its original port empty in a total of 8 hours, what is the speed of the ferry when it is empty?

156. what comes in the place of question mark in the following ?

157. The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y?

158. The last number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is :

159. What decemal of an hour is a second?

160. How may pieces of 85 cm length can be cut from a road 42.5 metres long?

161. Six bells starts ringing logether and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes?

162. Two tanks A and B are filled with petrol. Tank A holds 600 liters more than B. If 100 liters of petrol were taken out from each tank, tank A would then contain 3 times as much petrol as tank B. What is the total number of liters of fuel in the two full tanks?

163. A die is rolled twice. What is the probability of getting a sum equal to 9?

164. Two student appeared at an examination. One of them secured 9 makes more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are :

165. A batsman makes a score of 87 runs in the 17th ining and thus increases his average by 3. What is his average after 17th innings?

166. Hasib took a loan of 1400 tk with simple interest for as many years as the rate of interest. If he paid 126 th as interest at the end of the loan period , what was the rate of interest?

167. The area of a rectangular plot is 460 square metres, if the lenght is 15% more than the breadth, what is the breadth of the plot?

168. The ratio of the age of a man and his wife is 4:3. At the time of their marriage the ratio was 5:3 and after 4 years this ratio will become 9:7. How many years ago were they married?

169. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is two-third of the number of students of 8 years of age which is 48. what is the total number of students in the school?

170. Rahat completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

171. Three friends each contributed 8000 taka to buy a computer. If they bought the computer for 19500 taka plus 10% tax, how much money will each of them get back from the inital contribution?

172. If x is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer?

173. A water tank with 64-gallon capacity is filled by pipe A and emptied by pipe B. If the rate of water flow through pipe A is 2 gallons per hour, how many gallons per hour should flow through pipe B so that when both pipes are open, the initially empty tank shold be full in exactly 96 hours?

174. From the profits of a certain investment, Faisal got 1/3 of the total profit and three of his friends each got 1/3 of the rest. If Faisal and one of his friends got a total of 60000 taka, what was the total profit?

175. If a certain product that sells normally at 59 taka is on sale at two for 99 taka, then how much can Fahim save by purchasing 10 of that product?

176. Rakid lives 4km due west of Faisal's house. Asif lives 6km due north of Faisl's house and 4km due west of Hamed's house. What is the minimum distance from Rakib's house to Hamed's house?