Explanation:

Find the probability of selecting a prime number from a set numbers 1 to 15 (both inclusive) Correct Answer 2/5 ঘড়ির ঘণ্টার কাঁটা ও মিনিটের কাঁটা দিনে ২২ বার মিলিত (coincide) হয়।

Explanation:

A rectangular box ix 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 ? Correct Answer 15 আয়তাকার বক্সটির width (a) = 10 inch; length (b) = 10 inch এবং height (c) = 5 inch দুটি বিন্দুর মধ্যকার greatest distance (সর্বোচ্চ দূরত্ব) বা কর্ণ d - এর মান বের করতে হবে।  আমরা জানি,  ঘণবস্তুর কর্ণের দৈর্ঘ্য  (d) = ✓(a² + b² + c²)       = ✓(10² + 10² + 5²)       = ✓225       = 15

Explanation:

The cost, in taka, of manufacturing x microwaves is 6000+300x Taka. The amount received when selling these x microwaves is 700x taka. What is the least number of microwaves that must be manufactured and sold so that the net profit is Tk 2400 ? Correct Answer 21 60% of A = 34 of B ⇒60100×A = 34×B ⇒35×A = 34×B ⇒AB = 1512 ⇒AB = 54 ∴ A: B = 5 : 4

Explanation:

An empty swimming pool with a capacity of 5,760 gallons is filled at a rate of 12 gallons per minute. How many does it take to fill the pool to capacity ? Correct Answer 480 Filled 12 gallons in 1 min Filled 5760 gallons in = 5760 /12 min = 5760/( 12 ×60) hours = 8 hours

Explanation:

What is the least number by which 2450 must be multiplied in order to get a perfect square? Correct Answer 4 2450 = 2 × 5 × 5 × 7 × 7 দেখা যাচ্ছে, 2 অযুগ্ন। সুতরাং 2450 সংখ্যাটিকে 2 (কমপক্ষে) দ্বারা গুন করলে এটি পূর্ণবর্গ হবে।

Explanation:

The cost of picture frame M is TK. 10.00 less than 3 times the cost of picture frame N. If the cost of frame M is TK. 50.00 , what is the cost of frame N? Correct Answer TK. 16.66 Cost price of N = x Cost price of M = 3x - 10 3x - 10 = 50 = > 3x = 60 = > x = 60/3 ∴x = 20

Explanation:

A piece of work can be done by 70 labors in 30 days. How many labours should work daily to complete the work in 12 days? Correct Answer 175 30 দিনে করতে পারে 70 জনে 1 " " " 70 × 30 জনে 12 " " " 70×3012 জনে = 175 জনে

Explanation:

A rope of 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other , what is the length , in feet, of the shorter piece ? Correct Answer 11 Let x = the length of the shorter piece So, x + 18 = the length of the longer piece Since the lengths of the two pieces must add to 40 feet, we can write: x + (x + 18) = 40 = > 2x + 18 = 40 = > 2x = 40 - 18 = > 2x = 22 ∴ x = 11

Explanation:

The organizers of a fair projected a 25 percent increase in attendance this over that of last year but attendance this year actually decreased by 20 percent. What percent of the projected attendance was the actual attendance ? Correct Answer 64% Let,   last year present = 100 this year projected present = (100 + 25) = 125 this year Actual present = (100 - 20) = 80 so, the percentage = ((80/125)×100)% = 64%

Explanation:

For how many positive numbers a, it becomes true that a * a * a = a + a + a ? Correct Answer 1 এখানে, equation টি solve করার পর positive a এর মান নির্ণয় করতে হবে। a×a×a = a + a + a⇒a3 - 3a = 0⇒aa2 - 3 = 0∴a = 0;3, - 3 অর্থাৎ only + 3 একটি পজিটিভ নাম্বার।

Explanation:

If n3 is odd, which of the following statements are true? Correct Answer I and II only ধরি, n3 একটি odd integer তাহলে n3 কে 2K + 1 হিসেবে প্রকাশ করা যায়, যেখানে k যে কোনো integer n3 = 2k + 1⇒n3 - 1 = 2k⇒n - 1n2 + n + 1 = 2k⇒n - 1nn + 1 + 1 = 2k যেহেতু ডানপাশে 2k তাহলে বামপাশের দুটি Factor multiply করে একটি even number গঠন করবে।এখানে n(n + 1) সবসময় even যেহেতু দুটি consecutive terms product even, এর যেমন - 2×3 = 6 এর সাথে 1 যোগ মানে odd. তাহলে (n - 1) নিশ্চয়ই even কেননা (n - 1) এবং {n(n + 1) + 1}এর গুণফল even;odd এবং odd এর গুণফল even হতে পারে না।(n - 1) even মানে n odd । আবার odd সংখ্যার সাথে odd গুণফল এর odd অর্থাৎ n2odd ।

Explanation:

In how many ways can the letters of the word "LEADER" be arranged? Correct Answer 360 'LEADER'এ আছে 6 টি letter; 1L,2E,1A and 1R ∴Ways = 6!1!2!1!1!1! = 360

Explanation:

If the radius of a circle is increased by 6%, then the area of the circle is increased by --- Correct Answer 12.36% Area of circle increased by = r + r + r×r100 = radius = 6 + 6 + 6×6100 = 12 + 0·63 = 12·36

Explanation:

Robi has 10 pairs of matched socks. If he loses 7 individual socks, what is the greatest number of pairs of matched socks he can have left? Correct Answer 6 General rule for such kind of problems: to maximize one quantity, minimize the others; to minimize one quantity, maximize the others. The lowest number of pairs we can make from 7 individual socks is 3 pairs and 1 sock from a fourth pair. Hence, the greatest number of pairs of matched socks Robi can have left is 10 - 4 = 6. So the answer is (b) 6.

Explanation:

which of the sets of numbers can be used as the lengths of the sides of a triangle? Correct Answer III only বাংলাদেশের তৃতীয় সমুদ্রবন্দর পায়রা। এটি পটুয়াখালী জেলার কলাপাড়ায় রাবনাবাদ চ্যানেলে নির্মিত হচ্ছে।

Explanation:

For which of the following values of n is 100+n/n not an integer? Correct Answer 3 এখানে নিঃশেষে বিভাজ্যতা পরীক্ষার সূত্র/নিয়ম ব্যবহার করতে হবে। ১. দিয়ে যে কোনাে সংখ্যা বিভাজ্য। ২. সকল জোড় সংখ্যা 2 দ্বারা বিভাজ্য। ৩. যে সংখ্যার অঙ্কগুলাের সমষ্টি 3 দ্বারা বিভাজ্য সে সংখ্যা 3 দ্বারা বিভাজ্য। ৪. যে সংখ্যার একক ও দশক স্থানীয় অঙ্কে গঠিত সংখ্যা 4 দ্বারা বিভাজ্য সে সংখ্যা 4 দ্বারা বিভাজ্য। ৫. যে সংখ্যার শেষ অঙ্ক 0 অথবা 5 সে সংখ্যা 5 দ্বারা বিভাজ্য এই তথ্য জানলে সমস্যাটি মুখে মুখেই solve করা যায়।

Explanation:

A train 125 m long passes a man , running at 5 km/hr in the same direction in which the train is going in 10 seconds . The speed of the train is: Correct Answer 50 km /hr Train এর speed Relative to mam = 12510m/sec = 252m/sec = 45 km/hr ধরা যাক, Train - এর speed x, তাহলে Relative speed = = x - 5km/hr∴x - 5 = 45⇒x = 50 km/hr

Explanation:

Shelly gave three-fifths of the amount of money she had to Jhorna . Shelly now has Tk. 200. How much did she give to Jhorna? Correct Answer Tk. 300 ধরি, Shelly ‘র অংশ x, তাহলে, x - 3x5 = 200⇒x = 500 অতএব Jhorna কে দিয়েছে = 500 - 200 = 300

Explanation:

A person makes a profit of 10% on 25% of the quantity and a loss of 20% on the rest. What is the percentage gain or loss on the whole? Correct Answer 12.5% Suppose cost price = 100 Tk. Gain on 25Tk = 2.50 Tk = Selling price = 25 + 2.50 = 27.50 TK Loss on 75 Tk = 15 Tk Selling price = 75 - 15 = 60 Tk Total selling price = 60 + 27.50 = 87.50 Loss = 100 - 87.50 = 12.50

Explanation:

If b equals 20% of b, then which one of the following equals 30% of c? Correct Answer 0.6% of a 30% of c = ·30×c = ·30×·20b = ·30×·20×·10a = ·006a = ·6% of a

Explanation:

A person invested 2/3 th of his capital 3%, 1/6th at 6% and the remainder at 12%. If his annual income is Tk. 25, then the capital is Correct Answer Tk. 500 We have, 1a = 23,1b = 16,1c = 1 - 23 + 16 = 16R1 = 3%,R2 = 6%,R3 = 12%∴A = 25 Tk.Capital = A×100R1a + R2b + R3c = 25×1003×23 + 66 + 126 = 25005 = 500

Explanation:

If the numbers 17/24, 1/2, 3/8, 3/4 and 9/16 were ordered greatest to least, the middle number of the resulting sequence would be --- Correct Answer 9/16 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mtext>ভগ্নাংশগুলোর  লবগুলোর ল.সা.গু  =  48</mtext><mspace linebreak = "newline"/><mfrac><mn>17</mn><mn>24</mn></mfrac><mo> = </mo><mfrac><mrow><mn>17</mn><mo>×</mo><mn>2</mn></mrow><mrow><mn>24</mn><mo>×</mo><mn>2</mn></mrow></mfrac><mo> = </mo><mfrac><mn>34</mn><mn>48</mn></mfrac><mspace linebreak = "newline"/><mfrac><mn>1</mn><mn>2</mn></mfrac><mo> = </mo><mo> </mo><mfrac><mrow><mn>1</mn><mo>×</mo><mn>24</mn></mrow><mrow><mn>2</mn><mo>×</mo><mn>24</mn></mrow></mfrac><mo> = </mo><mfrac><mn>24</mn><mn>48</mn></mfrac><mspace linebreak = "newline"/><mfrac><mn>3</mn><mn>8</mn></mfrac><mo> = </mo><mfrac><mrow><mn>3</mn><mo>×</mo><mn>6</mn></mrow><mrow><mn>8</mn><mo>×</mo><mn>6</mn></mrow></mfrac><mo> = </mo><mfrac><mn>18</mn><mn>48</mn></mfrac><mspace linebreak = "newline"/><mfrac><mn>3</mn><mn>4</mn></mfrac><mo> = </mo><mfrac><mrow><mn>3</mn><mo>×</mo><mn>12</mn></mrow><mrow><mn>4</mn><mo>×</mo><mn>12</mn></mrow></mfrac><mo> = </mo><mfrac><mn>36</mn><mn>48</mn></mfrac><mspace linebreak = "newline"/><mfrac><mn>9</mn><mn>16</mn></mfrac><mo> = </mo><mfrac><mrow><mn>9</mn><mo>×</mo><mn>3</mn></mrow><mrow><mn>16</mn><mo>×</mo><mn>3</mn></mrow></mfrac><mo> = </mo><mfrac><mn>27</mn><mn>48</mn></mfrac><mspace linebreak = "newline"/><mtext>যেহেতু 36>34>27>24>18</mtext><mspace linebreak = "newline"/><mtext>সুতরাং </mtext><mfrac><mn>3</mn><mn>4</mn></mfrac><mtext>></mtext><mfrac><mn>17</mn><mn>24</mn></mfrac><mtext>></mtext><mfrac><mn>9</mn><mn>16</mn></mfrac><mtext>></mtext><mfrac><mn>1</mn><mn>2</mn></mfrac><mtext>></mtext><mfrac><mn>3</mn><mn>8</mn></mfrac><mspace linebreak = "newline"/><mo>∴</mo><mtext>মাঝখানর সংখ্যাটি </mtext><mfrac><mn>9</mn><mn>16</mn></mfrac></math>

Explanation:

If the angles of a triangle are in the ratio 1: 2: 2 triangle -- Correct Answer is isosceles অনুপাতের whole = 1 + 2 + 2 = 5, The smallest angle হবে 15th of the sum of three angle,15×180 = 36. তাহলে অন্য দুটি angle হচ্ছে 2×36 = 72

Explanation:

If the sum of three consecutive integers is odd, then the first and the last integers must be - Correct Answer even, even Try for 2,3,4 - 2 + 3 + 4 = 9 (9 is odd) Here, the First and the last integers, must be even You can try for such any consecutive integers.

Explanation:

A boy was asked to multiply a number by 7/8, instead he divided the number by 7/8 and got the result 15/14 more than he should have got if he had multiplied the number by 7/8. the number is ---- Correct Answer 4 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mtext>ধরি, সংখ্যাটি x</mtext><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mi>x</mi><mo>÷</mo><mfrac><mn>7</mn><mn>8</mn></mfrac><mo> = </mo><mfenced><mrow><mi>x</mi><mo> - </mo><mfrac><mn>7</mn><mn>8</mn></mfrac></mrow></mfenced><mo> + </mo><mfrac><mn>15</mn><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>⇒</mo><mfrac><mrow><mn>8</mn><mi>x</mi></mrow><mn>7</mn></mfrac><mo> = </mo><mfrac><mrow><mn>7</mn><mi>x</mi></mrow><mn>8</mn></mfrac><mo> + </mo><mfrac><mn>15</mn><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>⇒</mo><mfrac><mrow><mn>8</mn><mi>x</mi></mrow><mn>7</mn></mfrac><mo> - </mo><mfrac><mrow><mn>7</mn><mi>x</mi></mrow><mn>8</mn></mfrac><mo> = </mo><mfrac><mn>15</mn><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>⇒</mo><mfrac><mrow><mn>64</mn><mi>x</mi><mo> - </mo><mn>49</mn><mi>x</mi></mrow><mn>56</mn></mfrac><mo> = </mo><mfrac><mn>15</mn><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>⇒</mo><mn>15</mn><mi>x</mi><mo> = </mo><mfrac><mrow><mn>15</mn><mo>×</mo><mn>56</mn></mrow><mn>14</mn></mfrac><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> = </mo><mfrac><mrow><mn>15</mn><mo>×</mo><mn>56</mn></mrow><mrow><mn>14</mn><mo>×</mo><mn>15</mn></mrow></mfrac><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mi>x</mi><mo> = </mo><mn>4</mn></math>

Explanation:

If d=2.0453 and d* is the decimal obtained by rounding d to the nearest hundred what is the value of d*-d? Correct Answer None of these <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mi>d</mi><mo> = </mo><mn>2</mn><mo>.</mo><mn>0453</mn><mspace linebreak = "newline"/><mi>d</mi><mo>*</mo><mo> = </mo><mi>r</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>i</mi><mi>n</mi><mi>g</mi><mo> </mo><mi>d</mi><mo> </mo><mi>t</mi><mi>o</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>e</mi><mo> </mo><mi>n</mi><mi>e</mi><mi>a</mi><mi>r</mi><mi>e</mi><mi>s</mi><mi>t</mi><mo> </mo><mi>h</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>r</mi><mi>e</mi><mi>d</mi><mi>t</mi><mi>h</mi><mo> = </mo><mn>2</mn><mo>.</mo><mn>05</mn><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mi>d</mi><mo>*</mo><mo> - </mo><mi>d</mi><mo> = </mo><mn>2</mn><mo>.</mo><mn>05</mn><mo> - </mo><mn>2</mn><mo>.</mo><mn>0453</mn><mo> = </mo><mn>0</mn><mo>.</mo><mn>0047</mn><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mtext>সঠিক উত্তর none of these</mtext><mspace linebreak = "newline"/><mspace linebreak = "newline"/></math>

Explanation:

A corporation that had Tk. 115.19 billion in profits for the year paid out Tk. 230.10 million in employee benefits . Approximately what percent of the profits were the employee benefits? Correct Answer 20% <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mn>115</mn><mo>.</mo><mn>19</mn><mo> </mo><mtext>বিলিয়ন  =  </mtext><mfenced><mrow><mn>115</mn><mo>.</mo><mn>19</mn><mo>×</mo><mn>1000</mn></mrow></mfenced><mtext> = 115190 মিলিয়ন</mtext><mspace linebreak = "newline"/><mn>115190</mn><mo> </mo><mtext>মিলিয়ন টাকায় employee benefits 23010 মিলিয়ন</mtext><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mn>100</mn><mo> </mo><mtext>মিলিয়ন</mtext><mo> </mo><mi>টাকায়</mi><mo> </mo><mi>employee</mi><mo> </mo><mi>benefits</mi><mo> </mo><mfrac><mrow><mn>23010</mn><mo>×</mo><mn>100</mn></mrow><mn>115190</mn></mfrac><mo> = </mo><mn>19</mn><mo>.</mo><mn>98</mn><mo>≈</mo><mn>20</mn><mo> </mo><mtext>মিলিয়ন</mtext></math>

Explanation:

Two banks offer interest rate of 6% and 7% respectively on savings account. Mr. Faruq deposited a total amount of Tk. 4000 in the banks and in one year his interest income was Tk. 250. Find the deposit in the bank with 7% interest rate? Correct Answer 1000 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mtext>ধরি, 7% সুদে x টাকা deposit করে।</mtext><mspace linebreak = "newline"/><mi>x</mi><mo>×</mo><mfrac><mn>7</mn><mn>100</mn></mfrac><mo>×</mo><mn>1</mn><mo> + </mo><mfenced><mrow><mn>4000</mn><mo> - </mo><mi>x</mi></mrow></mfenced><mo>×</mo><mfrac><mn>6</mn><mn>100</mn></mfrac><mo>×</mo><mn>1</mn><mo> = </mo><mn>250</mn><mspace linebreak = "newline"/><mo>⇒</mo><mn>7</mn><mi>x</mi><mo> + </mo><mn>24000</mn><mo> - </mo><mn>6</mn><mi>x</mi><mo> = </mo><mn>25000</mn><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> = </mo><mn>25000</mn><mo> - </mo><mn>24000</mn><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mi>x</mi><mo> = </mo><mn>1000</mn></math>

Explanation:

What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide? Correct Answer 76 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mtext>ধরি, বাগানটির দৈঘ্য x মিটার</mtext><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mn>6</mn><mo>×</mo><mi>x</mi><mo> = </mo><mn>16</mn><mo>×</mo><mn>12</mn><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> = </mo><mfrac><mrow><mn>16</mn><mo>×</mo><mn>12</mn></mrow><mn>6</mn></mfrac><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mi>x</mi><mo> = </mo><mn>32</mn></math>

Explanation:

The average of a group of 10 students is 15 years. When 5 more students joined the group, the average age rose by 1 year. What is the average age of the newly joined students? Correct Answer 18 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mn>10</mn><mo> </mo><mtext>জন ছাত্রের বয়েসের সমষ্টি = </mtext><mfenced><mrow><mn>15</mn><mo>×</mo><mn>10</mn></mrow></mfenced><mtext> = 150 বছর</mtext><mspace linebreak = "newline"/><mn>15</mn><mo> </mo><mi>জন</mi><mo> </mo><mi>ছাত্রের</mi><mo> </mo><mi>বয়েসের</mi><mo> </mo><mi>সমষ্টি</mi><mo> = </mo><mfenced><mrow><mn>15</mn><mo>×</mo><mn>16</mn></mrow></mfenced><mo> = </mo><mn>240</mn><mo> </mo><mtext>বছর</mtext><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mtext>নতুন 5 জন ছাত্রের বয়েসের </mtext><mi>সমষ্টি</mi><mtext> =  </mtext><mfenced><mrow><mn>240</mn><mo> - </mo><mn>150</mn></mrow></mfenced><mtext> </mtext><mi>বছর</mi><mo> = </mo><mn>90</mn><mo> </mo><mi>বছর</mi><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mi>নতুন</mi><mo> 5 </mo><mi>জন</mi><mo> </mo><mi>ছাত্রের</mi><mo> </mo><mi>বয়েসের</mi><mo> </mo><mtext>গড় = </mtext><mfrac><mn>90</mn><mn>5</mn></mfrac><mtext> = 18 </mtext><mi>বছর</mi></math>

Explanation:

If 3/x=2 and y/4=3, then 3+y/x+4=? Correct Answer 30/11 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mfrac><mn>3</mn><mi>x</mi></mfrac><mo> = </mo><mn>2</mn><mo> </mo><mo>∴</mo><mo> </mo><mi>x</mi><mo> = </mo><mfrac><mn>3</mn><mn>2</mn></mfrac><mspace linebreak = "newline"/><mtext>এবং </mtext><mfrac><mi>y</mi><mn>4</mn></mfrac><mtext> = 3 ∴ y = 12</mtext><mspace linebreak = "newline"/><mtext>সুতরাং </mtext><mfrac><mrow><mn>3</mn><mo> + </mo><mi>y</mi></mrow><mrow><mi>x</mi><mo> + </mo><mn>4</mn></mrow></mfrac><mtext> = </mtext><mfrac><mrow><mn>3</mn><mo> + </mo><mn>12</mn></mrow><mrow><mstyle displaystyle = "true"><mfrac><mn>3</mn><mn>2</mn></mfrac></mstyle><mtext> + 4</mtext></mrow></mfrac><mtext> = </mtext><mfrac><mn>15</mn><mstyle displaystyle = "true"><mfrac><mrow><mn>3</mn><mo> + </mo><mn>8</mn></mrow><mn>2</mn></mfrac></mstyle></mfrac><mtext> = </mtext><mfrac><mrow><mn>15</mn><mi>x</mi><mn>2</mn></mrow><mn>11</mn></mfrac><mtext> = </mtext><mfrac><mn>30</mn><mn>11</mn></mfrac></math>

Explanation:

Company C produces toy trucks at a cost of Tk. 5 each for the first 100 trucks and Tk. 3.5 for each additional truck. If 500 toy trucks were produced by the company C and sold for Tk. 10 each, what was company C's gross profit? Correct Answer Tk. 3100 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>H</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>s</mi><mo>:</mo><mo> </mo><mi>C</mi><mo> </mo><mi>এ</mi><mi>র</mi><mo> </mo><mtext>toy trucks বাবদ উৎপাদন খরচ </mtext><mfenced open = "{" close = "}"><mrow><mn>100</mn><mo>×</mo><mn>5</mn><mo> + </mo><mfenced><mrow><mn>500</mn><mo> - </mo><mn>100</mn></mrow></mfenced><mo>×</mo><mn>3</mn><mo>.</mo><mn>5</mn></mrow></mfenced><mtext> টাকা</mtext><mspace linebreak = "newline"/><mo> = </mo><mfenced><mrow><mn>500</mn><mo> + </mo><mn>1400</mn></mrow></mfenced><mo> </mo><mtext>টাকা  = 1900 টাকা</mtext><mspace linebreak = "newline"/><mi>C</mi><mo> </mo><mi>এ</mi><mi>র</mi><mo> </mo><mi>t</mi><mi>o</mi><mi>y</mi><mo> </mo><mi>t</mi><mi>r</mi><mi>u</mi><mi>c</mi><mi>k</mi><mi>s</mi><mo> </mo><mi>এ</mi><mi>র</mi><mo> </mo><mtext>বিক্রয়মূল্য </mtext><mfenced><mrow><mn>500</mn><mo>×</mo><mn>10</mn></mrow></mfenced><mtext> টাকা = 5000 টাকা</mtext><mspace linebreak = "newline"/><mo>∴</mo><mo> </mo><mi>C</mi><mi>o</mi><mi>m</mi><mi>p</mi><mi>a</mi><mi>n</mi><mi>y</mi><mo> </mo><mi>C</mi><mo> </mo><mi>এ</mi><mi>র</mi><mo> </mo><mi>g</mi><mi>r</mi><mi>o</mi><mi>s</mi><mi>s</mi><mo> </mo><mi>p</mi><mi>r</mi><mi>o</mi><mi>f</mi><mi>i</mi><mi>t</mi><mo> </mo><mfenced><mrow><mn>5000</mn><mo> - </mo><mn>1900</mn></mrow></mfenced><mo> </mo><mtext>টাকা = 3100 টাকা</mtext><mspace linebreak = "newline"/></math>

Explanation:

Express ( 20 * .052) in terms of percentage. Correct Answer 0.05 ইন্দু, রাকেশ ও বিধু অর্থ চাঁদ। অন্যদিকে তুরগ অর্থ ঘোড়া, অশ্ব।

Explanation:

The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes with it take for the population to grow from 1,000 to 500,000 bacteria? Correct Answer 18 500000 ব্যাকটেরিয়া তৈরি হতে প্রায় 18 মিনিট সময় লাগড়বে।

Explanation:

Last year Salem received 26 paychecks. Each of his first 6 paychecks was Tk.750; each of his remaining paychecks was Tk. 30 more than each of his first 6 paychecks. To the nearest taka, what was the average amount of his paychecks for the year? Correct Answer None of these প্রথম 6 টি paycheck এর প্রতিটি 750 টাকাপ্রথম 6 টি paycheck এর মোট পরিমাণ 4500 টাকাবাকি (26 - 6) বা 20টি paycheck এর প্রতিটি (750 + 30) টাকা = 780 টাকা20টি paycheck এর মোট পরিমাণ (780×20) টাকা = 15600 টাকাঅর্থাৎ সর্বমোট টাকার পরিমাণ 20100 টাকাগড় টাকার পরিমাণ 20100/26 = 773.08 টাকা

Explanation:

Company K'a earnings were Tk. 12 million last year. If this year's earnings are projected to be 150% greater than last year's earnings, what are Company K's projected earnings this year? Correct Answer none of these 150% of 12 million 150100×12 million = 18∴Projected eanings = (12 + 18) million = 30সঠিক উত্তর (d) none of these

Explanation:

The arithmetic mean of the list of numbers given below is 4. If K and m are integers and k#m, what is the median of the list ? [Given list -3, k, 2, 8, m, 3] Correct Answer 3 সংখ্যা ছয়টির সমষ্টি = 3 + K + 2 + 8 + m + 3⇒(6×4) = k + m + 16⇒24 = k + m + 16⇒k + m = 24 - 16k + m = 8k = 1, m = 7 হলে সংখ্যাগুলো সাজিয়ে পাই 1, 2, 3, 3, 7, 8n = 6 জোড় সংখ্যাmedian বা মধ্যম = 6/2 ও 6/2 + 1 তম পদ দুটির সাংখ্যিক মানের গড় = 3 + 3/2 = 3

Explanation:

What is the remainder when 324 is divided by 5? Correct Answer 1 31÷5 = 3÷5 = 5×0 + 3 অর্থাৎ 3 অবশিষ্ট থাকে32÷5 = 9÷5 = 5×1 + 4 অর্থাৎ 4 অবশিষ্ট থাকে33÷5 = 27÷5 = 5×5 + 2 অর্থাৎ 2 অবশিষ্ট থাকে34÷5 = 81÷5 = 5×16 + 1 অর্থাৎ 1 অবশিষ্ট থাকে35÷5 = 243÷5 = 5×48 + 3 অর্থাৎ 3 অবশিষ্ট থাকে - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 324÷5 = 3645 এর ক্ষেত্রে তথঅ ভাগশেষ হবে 1

Explanation:

A dishonest trader mixes 2kg of vegetable ghee costing Tk. 45 a kg with 3 kg of standard ghee costing Tk. 70 per kg. He sells the mixed ghee at Tk. 65 per kg. What is his percentage of profit? Correct Answer 8.33% উদ্ভিজ্জ ঘি 2 kg দাম 45× 2 = 90আদর্শ ঘি 2kg দাম 70× 3 = 210মিশ্রিত 5kg ঘি এর মোট দাম = 300 টাকাপ্রতি কেজি ঘি এর বিক্রয়মূল্য 65 টাকা5কেজি " " " 65× 5 = 325 টাকালাভ (325 - 300) = 25 টাকাএখন 300 টাকায় লাভ 25 টাকা100 টাকায় লাভ 25/300× 100টাকা = 8.33 টাকাঅর্থাৎ লাভ 8.33%

Explanation:

The price of a shirt is increased by 20% . How many shirts can be purchased for the amount of money that was used to buy 300 shirts before? Correct Answer 250 ধরি, একটি শার্টের দাম ১০ টাকা ২০% বৃদ্ধিতে শার্টের দাম ১২ টা ৩০০ টি শার্টের দাম পূর্বে ছিল ৩০০০ হাজার ৩০০০ টাকায় ১২ টাকার দরে শার্ট পাওয়া যাবে ২৫০ টি।

Explanation:

If the ratio of boys and girls in a school is 5: 3 . which of the following could not be the number of students in the school? Correct Answer 178 Total of ratio = 5 + 3 = 8 512, 416 and 234 can be divided by 8 but 178 can not be divided by 8. 178 can not be number of students in the school.

Explanation:

A Fast food shop sells pizza in 3 sizes: large, super, and jumbo. One day the shop sold 240 pizzas, and the ratio of sales of large to super to jumbo was 8 : 17 : 15. How many jumbo pizzas were sold that day? Correct Answer 90 Total of ratio = 8 + 17 + 15 = 40 No. of jumbo pizzas sold = 15/40 ×240 = 90

Explanation:

On Saturday , 20 of the students in a class took a test and their average score was 80. On Tuesday, the other 5 students took the test, and their average score was 90 . what was the average for the entire class? Correct Answer 82 Average score of entire class = (20×80 + 5×90) / (20 + 5) = 82

Explanation:

A 180 liter mixture of milk and water contains 20% water. How much milk, in liters, must be added to the mixture so that the new mixture will contain water and milk in the ratio of 1 : 7? Correct Answer 108 liters Amount of water = 20/100 ×180 = 36 liter Amount of milk = 80 /100 ×180 = 144 liter Let, amount of milk to be added is x 36/(144 + x) = 1/7 144 + x = 252 x = 108

Explanation:

Jenny's average on 4 exams is 80. Assuming she cannot earn more than 100 on any exam. What is the least she can earn on her 5th exam and still have a chance for an average of 84 after seven exams? Correct Answer 68 Total number of jenny after 4 exam = 80× 4 = 320 Total not of jenny after 7 exam = 84×7 = 588 Total no of jenny 5th, 6th, and 7th, exam = 588 - 320 = 268 She can earn highest 200 marks on 6th and 7th exam. She must earned at least ( 268 - 200) = 68 marks on 5th exam.

Explanation:

A ferry can carry 24 buses or 36 cars at a time. If there are 9 cars on the ferry. how many buses can be loaded into it? Correct Answer 18 36 cars = 24 buses 9 cars = (24×9)/36 = 6 buses No. of buses can be loaded = 24 - 6 = 18

Explanation:

A container full of water weighs 20 kg . If one -fourth of the container is full of water. it weighs 8 kg . What is the weight of the empty container? Correct Answer 4 kg Let, weight of empty container is x. 20 - x /4 = 8 - x 20 - x = 32 - 4x 3x = 12 x = 4

Explanation:

If xy>0 and yz<0, which of the following must be negative? Correct Answer zy2z xy> 0 অর্থাৎ xy এর গুনফল ধনাত্নক সংখ্যা yz<0 অর্থাৎ yz এর গুনফল ঋনাত্নক সংখ্যাএখন, ধনাত্মক সংখ্যা× ঋণাত্মক সঙখ্যা = ঋণাত্মক সংখ্যাxy×yzঅর্থাৎ<0xy>0

Explanation:

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? Correct Answer Tk. 13.00 4 rolls + 6 samuchas + 3 loaves of bread cost Tk. 914    "    + 6       "            + 2      "      "   "          "   Tk.78  প্রদত্ত উপাত্তের  দ্বিগুণ করে       বিয়োগ করে                                    1 loaf of bread cost   Tk. 13;

Explanation:

Since 1999 , Roby has gained 2 kilograms of weight every year, In 2009 he was 25% heavier than in 1999 . How much did Roby weigh in 2005? Correct Answer 92 kg Total weight gain in 10 years = 10× 2 = 20 kg 25 kg gain if Robys weight is 100 kg 20 kg gain if Robys weight is ( 100×20)/25 = 80 kg In 2005 Robys weight = 80 + (6×2) = 92 kg