mathematics MCQs
Showing 50 questions (Total: 16798)
৯, ৩৬, ৮১, ১৪৪ ......... এর পরবর্তী সংখ্যাটি কত?
Correct Answer:
খ: ২২৫
Explanation:
৯, ৩৬, ৮১, ১৪৪ ......... এর পরবর্তী সংখ্যাটি কত? সঠিক উত্তর ২২৫ 32 = 9, 62 = 36, 92 = 81, 122 = 144152 = 225
If 15% of 40 is greater than 25% of a number by 2, then the number is-
Correct Answer:
B: 16
The average of the two-digit numbers which remain the same when the digits interchange their position is -
Correct Answer:
C: 55
The smallest of three consecutive even integers is 40 less than three times the largest. What is the largest of these integers?
Correct Answer:
A: 18
Explanation:
The smallest of three consecutive even integers is 40 less than three times the largest. What is the largest of these integers? Correct Answer 18 Let the integers be x, x + 2 and x + 4 Now, 3 ( x + 4) - 40 = x 2x = 40 - 12 = 28 x = 14 x + 4 = 14 + 4 = 18
Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by what number?
Correct Answer:
C: 9/20
Explanation:
Dividing by 3/8 and then multiplying by 5/6 is the same as dividing by what number? Correct Answer 9/20 x ×(5/6) / (3/8) = x × (5/6) × (8/3) = x × 20/9 = x/(9/20) = 9/20
If the sides of a square increase by 10%,how much will the area be increased in percentage ?
Correct Answer:
A: 21%
If a is an even integer and b is an odd integer, which of the following expressions could be an even integer?
Correct Answer:
B: 3a+2b
Explanation:
If a is an even integer and b is an odd integer, which of the following expressions could be an even integer? Correct Answer 3a+2b Only when and odd number is added with another odd number , or multiplied by an even number, the result is even.
You own a bond issued by the CP railroad that promises to pay holder Tk. 100 annually forever. You plan to sell the born three years from now. If similar investments yield 6 percent at that time, how much will the boan be worth?
Correct Answer:
C: Tk. 1,666.67
Explanation:
You own a bond issued by the CP railroad that promises to pay holder Tk. 100 annually forever. You plan to sell the born three years from now. If similar investments yield 6 percent at that time, how much will the boan be worth? Correct Answer Tk. 1,666.67 Polite অর্থ ভদ্র, অন্য বসগুলো শব্দের অর্থ টক বিশেষ।
Asif can do a job in 15 hours, and Russel can do the same job in 9 hours. If they start doing the job together at 6 a.m. and Russel stops working at 9 a.m. at what time will Asif finish the job?
Correct Answer:
A: 2p.m.
Explanation:
Asif can do a job in 15 hours, and Russel can do the same job in 9 hours. If they start doing the job together at 6 a.m. and Russel stops working at 9 a.m. at what time will Asif finish the job? Correct Answer 2p.m. 6 am to 9 am is 3 hour Asif, Needs 15 hrs to do 1 whole work 3 needs 3/9 = 1/3 work left = 1 - ( 1/5 + 1/3) = 1 - 8/15 = 7/15 Asif can do 1 work in 15 hours asif can do 7/15 work ( 15×7) /15 = 7 hour 7 hour after 9 am is 2 pm
The preferred stock of Jay's Comics currently sells for Tk. 23.25 per share. The annual dividend of Tk. 1.50 is fixed. Assuming a constant dividend forever,what is the rate of return on this stock ?
Correct Answer:
B: 6.45 percent
Explanation:
The preferred stock of Jay's Comics currently sells for Tk. 23.25 per share. The annual dividend of Tk. 1.50 is fixed. Assuming a constant dividend forever,what is the rate of return on this stock ? Correct Answer 6.45 percent Primp অর্থ গোছানো। অন্য শব্দগুলো আগোছালো বোঝায়।
Chose the pair of numbers which comes next: 75,65,85,55,45,85,35.........
Correct Answer:
D: 25,85
A machine can copy six pages in 9 seconds. How many pages can it copy in 24 minutes?
Correct Answer:
D: 960
Explanation:
A machine can copy six pages in 9 seconds. How many pages can it copy in 24 minutes? Correct Answer 960 24 min × 60 = 1440 sec. Needs 9 sec to copy 6 pages 1 sec to copy 6/9 pages 1440 sec to copy = (6×1440p/9 = 960 pages
If the average of 5 consecutive number is 12, what is the sum of the least and the grater of the integer?
Correct Answer:
B: 24
10 men can survive for 24 days on 15 cans of food. How many total cans are needed for 8 men survive 36 days?
Correct Answer:
D: 18
Explanation:
10 men can survive for 24 days on 15 cans of food. How many total cans are needed for 8 men survive 36 days? Correct Answer 18 10 men can servive 24 days on 15 cans 10 men can servive 1 days on 15/24 cans 10 men can survive 36 days on ( 15×36)/24 1 men can survive 36 days on ( 15×36)/(24×10) cans 8 men can survive 36 days on = (15×36×8)/(24×10) = 18
Rana makes a 40% profit by selling his home, but loses 12% of the profit to taxes. what is the net percentage of profit Rana makes on the sale?
Correct Answer:
D: 35.2%
Explanation:
Rana makes a 40% profit by selling his home, but loses 12% of the profit to taxes. what is the net percentage of profit Rana makes on the sale? Correct Answer 35.2% Net operating profit = Operating income × ( 1 - Tax rate) = 40× ( 1 - 12/100) % = 35.2 %
Maria purchased brand X pens for TK. 4.00 a piece and brand Y pens for TK. 2.80 a piece. If Maria purchased a total of 12 of those pens for TK. 42.00, how many brand X pens did she purchase ?
Correct Answer:
D: 7
Explanation:
Maria purchased brand X pens for TK. 4.00 a piece and brand Y pens for TK. 2.80 a piece. If Maria purchased a total of 12 of those pens for TK. 42.00, how many brand X pens did she purchase ? Correct Answer 7 ১৯৪৪ সালে ব্রেটন উডস সম্মেলনের মাধ্যমে বিশ্বব্যাংক প্রতিষ্ঠিত হয় । বিশ্বব্যাংক গ্রুপের অঙ্গসংস্থা হলো পাঁচটি – IBRD,IDA,IFC,ICSID ও MIGA । বিশ্ব বাণিজ্য সংস্থা (WTO) যাত্রা শুরু করে ১ জানুয়ারী ১৯৯৫ ।
If the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 20 minutes ?
Correct Answer:
A: 80
Explanation:
If the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 20 minutes ? Correct Answer 80 কোনো দেশের কেন্দ্রীয় ব্যাংক অন্যান্য ব্যাংকগুলোকে যে সুদে ঋণ প্রদান করে তাই হলো ‘ব্যাংক রেট’ । মূলত ব্যাংক ব্যবস্থাকে সুষ্ঠুভাবে পরিচালনার জন্য কেন্দ্রীয় ব্যাংক সাধারণত কম সুদে এবং স্বল্প মেয়াদে ব্যাংকগুলোকে ঋণ প্রদান করে ।
At a party,everyone shake hands with everybody else. If there were 66 handshakes, how many people were at the party?
Correct Answer:
C: 32
If b < 2 and 2x - 3b = 0, which of the following must be true ?
Correct Answer:
D: x
Explanation:
If b < 2 and 2x - 3b = 0, which of the following must be true ? Correct Answer x 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.
If the product of 3 different positive integers is 6, then twice the sum of the integers is ----
Correct Answer:
B: 12
Explanation:
If the product of 3 different positive integers is 6, then twice the sum of the integers is ---- Correct Answer 12 There is no way of solving this problem mathematically, as no relation between the integers is given. Now, it is said the integers are positive only 1, 2, 3 is the possible combination (1×2×3 = 6). So, their sum = 1 + 2 + 3 = 6. Twice of the sum is 12.
0.1+(0.1)2+(0.1)3=?
Correct Answer:
B: 0.111
Explanation:
0.1+(0.1)2+(0.1)3=? Correct Answer 0.111 0.1 + (0.1)2 + (0.1)3 = 0.1 + 0.01 + 0.001 = 0.111
If x+y=9 and x/y=2, then x equals to ----
Correct Answer:
B: 6
Explanation:
If x+y=9 and x/y=2, then x equals to ---- Correct Answer 6 x + y = 9 and <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mi>y</mi></mfrac></math> = 2 or x = 2y<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo><mn>2</mn><mi>y</mi><mo> + </mo><mi>y</mi><mo> = </mo><mn>9</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>3</mn><mi>y</mi><mo> = </mo><mn>9</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mi>y</mi><mo> = </mo><mn>3</mn><mspace linebreak = "newline"/><mo>&#x2234;</mo><mi>x</mi><mo> = </mo><mn>2</mn><mi>y</mi><mo> = </mo><mn>2</mn><mo>&#xD7;</mo><mn>3</mn><mo> = </mo><mn>6</mn></math>
Find the largest number of apples not exceeding 1000, which can be equally divided among 6, 20, 24 boys?
Correct Answer:
C: 960
Explanation:
Find the largest number of apples not exceeding 1000, which can be equally divided among 6, 20, 24 boys? Correct Answer 960 The number that would be divisible by the L.C.M of 6, 20, 24 is the correct answer option Now, the L.C.M of 6, 20,, 24 is found.2 6, 20, 243 3, 10, 122 1, 10, 41, 5, 2So L.C.M = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>&#xD7;</mo><mn>3</mn><mo>&#xD7;</mo><mn>2</mn><mo>&#xD7;</mo><mn>5</mn><mo>&#xD7;</mo><mn>2</mn><mo> = </mo><mn>120</mn></math>Now, only 960 is divisible by 120, so 960 is the correct answer.
What annual rate was paid if Tk. 60000 earned Tk. 6000 interest in 5 years
Correct Answer:
C: 2%
Explanation:
What annual rate was paid if Tk. 60000 earned Tk. 6000 interest in 5 years Correct Answer 2% I = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>p</mi><mi>n</mi><mi>r</mi></mrow><mn>100</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo><mi>r</mi><mo> = </mo><mfrac><mrow><mi>I</mi><mo>&#xD7;</mo><mn>100</mn></mrow><mrow><mi>p</mi><mo>&#xD7;</mo><mi>n</mi></mrow></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>6000</mn><mo>&#xD7;</mo><mn>100</mn></mrow><mrow><mn>60000</mn><mo>&#xD7;</mo><mn>5</mn></mrow></mfrac></math> = 2
The ratio of boys to girls in a class 2/5. If 2 boys leave and 4 girls join the class, the ratio of the boys to the girls becomes 1/4. Originally, how many girls were in the class?
Correct Answer:
B: 20
Explanation:
The ratio of boys to girls in a class 2/5. If 2 boys leave and 4 girls join the class, the ratio of the boys to the girls becomes 1/4. Originally, how many girls were in the class? Correct Answer 20 Let, Originally, there were 2x boys and 5x girls in the classNow, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi><mo> - </mo><mn>2</mn></mrow><mrow><mn>5</mn><mi>x</mi><mo> + </mo><mn>4</mn></mrow></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>4</mn><mfenced><mrow><mn>2</mn><mi>x</mi><mo> - </mo><mn>2</mn></mrow></mfenced><mo> = </mo><mn>5</mn><mi>x</mi><mo> + </mo><mn>4</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>8</mn><mi>x</mi><mo> - </mo><mn>8</mn><mo> = </mo><mn>5</mn><mi>x</mi><mo> + </mo><mn>4</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>8</mn><mi>x</mi><mo> - </mo><mn>5</mn><mi>x</mi><mo> = </mo><mn>4</mn><mo> + </mo><mn>8</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>3</mn><mi>x</mi><mo> = </mo><mn>12</mn><mspace linebreak = "newline"/><mo>&#x2234;</mo></math> x = 4<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> Originally number of girls = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>&#xD7;</mo><mn>4</mn><mo> = </mo><mn>20</mn></math>
What will be the profit or loss if 4 mangoes are sold at the same price which 5 were bought?
Correct Answer:
B: 25%
Explanation:
What will be the profit or loss if 4 mangoes are sold at the same price which 5 were bought? Correct Answer 25% এ ধরনের math, যেখানে বিক্রয়ের unit ক্রয়ের unit থেকে 1 কম, সেক্ষেত্রে সবসময় লাভ হবে, এবং লাভের % = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>100</mn><mrow><mi>&#x9AC;</mi><mi>&#x9BF;</mi><mi>&#x995;</mi><mi>&#x9CD;</mi><mi>&#x9B0;</mi><mi>&#x9DF;</mi><mi>&#x9C7;</mi><mi>&#x9B0;</mi><mo>&#xA0;</mo><mi>u</mi><mi>n</mi><mi>i</mi><mi>t</mi></mrow></mfrac><mfrac><mn>100</mn><mn>4</mn></mfrac></math> = 25%পূর্ণ নিয়ম:Let, the cost price of 5 mangoes is x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo><mo>&#xA0;</mo><mn>1</mn><mo>&#xA0;</mo><mfrac><mi>x</mi><mn>5</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo><mo>&#xA0;</mo><mn>4</mn><mo>&#xA0;</mo><mo>&#xA0;</mo><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></math>Now, selling price of 4 mangoes is x<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> Profit <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo> - </mo><mstyle displaystyle = "true"><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mstyle></mrow><mstyle displaystyle = "true"><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mstyle></mfrac><mo>&#xD7;</mo><mn>100</mn><mo>%</mo><mspace linebreak = "newline"/><mo> = </mo><mfrac><mstyle displaystyle = "true"><mfrac><mrow><mn>5</mn><mi>x</mi><mo> - </mo><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mstyle><mstyle displaystyle = "true"><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mstyle></mfrac><mo>&#xD7;</mo><mn>100</mn><mo>%</mo><mspace linebreak = "newline"/><mo> = </mo><mfrac><mi>x</mi><mn>5</mn></mfrac><mo>&#xD7;</mo><mfrac><mn>5</mn><mrow><mn>4</mn><mi>x</mi></mrow></mfrac><mo>&#xD7;</mo><mn>100</mn><mo>%</mo><mspace linebreak = "newline"/><mo> = </mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>&#xD7;</mo><mn>100</mn><mo>%</mo><mspace linebreak = "newline"/></math> = 25%
What's the area of a square in square meter if its perimeter is 80?
Correct Answer:
C: 400
Explanation:
What's the area of a square in square meter if its perimeter is 80? Correct Answer 400 Side of the square = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>p</mi><mi>e</mi><mi>r</mi><mi>i</mi><mi>m</mi><mi>e</mi><mi>t</mi><mi>e</mi><mi>r</mi></mrow><mn>4</mn></mfrac><mo> = </mo><mfrac><mn>80</mn><mn>4</mn></mfrac><mo> = </mo><mn>20</mn></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> Area of the square = <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mn>20</mn><mn>2</mn></msup></math> = 400 sq.m
In England is written as 1234526 and France as 785291, the Greece will be written as ---
Correct Answer:
C: 381191
Explanation:
In England is written as 1234526 and France as 785291, the Greece will be written as --- Correct Answer 381191 England = 1234526, so E = 1, n = 2, g = 3, 1 = 4, a = 5, d = 6France = 785291, so f = 7 r = 8, c = 9<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> Greece = 381191[পরীক্ষার হলে, খেয়াল করুন Greece এ মাঝে তিনটি E আছে England এর E = 1 এবং France এর E ও 1 so Greece এর তিনটি E তে 1 আছে যেটিতে সেই Option টিই সঠিক, একমাত্র C অপশনটিতেই এটি করা হয়েছে। ]
What is the sum of the following series? 1+2+3.........+100=?
Correct Answer:
B: 5050
Explanation:
What is the sum of the following series? 1+2+3.........+100=? Correct Answer 5050 Sum = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>n</mi><mfenced><mrow><mi>n</mi><mo> + </mo><mn>1</mn></mrow></mfenced></mrow><mn>2</mn></mfrac></math>; here, n = 100<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> = </mo><mfrac><mrow><mn>100</mn><mfenced><mrow><mn>100</mn><mo> + </mo><mn>1</mn></mrow></mfenced></mrow><mn>2</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mn>50</mn><mo>&#xD7;</mo><mn>101</mn></math> = 5050
six persons A, B, C, D, E and F are standing in a circle. B is between D and C. A is between E and C. F is to the right of D. who is between A and F?
Correct Answer:
D: E
Explanation:
six persons A, B, C, D, E and F are standing in a circle. B is between D and C. A is between E and C. F is to the right of D. who is between A and F? Correct Answer E The sequence is : <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>&#x2192;</mo><mi>B</mi><mo>&#x2192;</mo><mi>C</mi><mo>&#x2192;</mo><mi>A</mi><mo>&#x2192;</mo><mi>E</mi><mo>&#x2192;</mo><mi>F</mi><mo>.</mo></math>
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?
Correct Answer:
A: 8 mph
Explanation:
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? Correct Answer 8 mph ব্যাখাঃ ধরি, full অবস্থায় বেগ x mph, তাহলে empty অবস্তায় বেগ 2x mph. Total time = 8 hours - 30 minutes = 7.5 hours ধরি, যাওয়ার সময় x বেগে চলে t1 hour আসার সময় 2x বেগে চলে t2 hour t1 + t2 = 7.5 t1 = 7.5 - t2 এখন, বেগ = দূরুত্ব / সময় বেগ × সময় = দূরুত্ব যাওয়ার সময় x × t1 = 20 x ( 7.5 - t2) = 20 7.5 x - t2x = 20.......... (1) t2x = 10 (1) নং এ বসিয়ে, 7.5 x = 30 x = 4 অর্থাৎ emty অবস্থায় Speed = 2x = 2× 4 = 8 mph
If SUMMER is coded as RUNNER, the code for WINTER will be ----
Correct Answer:
B: VIOUER
Explanation:
If SUMMER is coded as RUNNER, the code for WINTER will be ---- Correct Answer VIOUER S of SUMMER is replaced by the previous letter of S which is R. U is kept unchanged. MM is repalaced by the letter following M which is N.ER is kept unchanged.W of WINTER is replaced by the letter of W which is V.I is kept unchanged. N and T is replaced by the letter following N and T which are O and U, ER is kept unchnged. So we ge VIOUER
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?
Correct Answer:
D: 1
Explanation:
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? Correct Answer 1 Hints: পাঁচটি সংখ্যার সমষ্টি 25× 5 = 125 একটি বাদে, চারটি সংখ্যার সমষ্টি 31× 4 = 124 বাদ দেওয়া সংখ্যাটি = 125 - 124 = 1
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?
Correct Answer:
C: 30
Explanation:
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? Correct Answer 30 Hints : একটি revolution বা ঘূর্ণনে চাকা যায় এর পরিধি বা 2πr দূরুত্ব । এখানে r হচ্ছে radius, কিন্তু প্রশ্নে diameter দেওয়া থাকলেও অনুপাতের হিসেবে এটিকে ২ দিয়ে ভাগ না করলেও হবে। এই ভাবে 2π উপরে নিচে কাটা যাবে। সংক্ষেপে, 120 /40 = ? / 10 = 30, 30 revolution.
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?
Correct Answer:
C: 20
Explanation:
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? Correct Answer 20 Hints: এখানে প্রতিক্ষেত্র টোটাল যে টাকা টি সবার মাঝে ভাগ করা হয়েছে তা একই। ধরি, মানুষের অর্জিনাল সংখ্যা x এবং amount if money y তাহলে, xy = (x + 4) (y - 16) = (x - 4) ( y + 24) xy = xy + 4y - 16x - 64 = xy - 4y + 24x - 96 0 = 4y - 16x - 64 = - 4y + 24 x - 96 এখন, 0 = y - 4x - 16 y = 4x + 16 আবার , 0 = - y + 6x - 24 y = 6x - 24 অর্থাৎ, 4x + 16 = 6x - 24 2x = 40 x = 20
Sum of P and Q is 72 and the value of R is 42. What is the average of P, Q and R?
Correct Answer:
C: 38
Explanation:
Sum of P and Q is 72 and the value of R is 42. What is the average of P, Q and R? Correct Answer 38 P + Q = 72; R = 42<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> P + Q + R = 72 + 42 = 114Their average = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>114</mn><mn>3</mn></mfrac></math> = 38
If (a+a+a)=(b+b+b+b)and (a+b)=7, then what is the value of (a2-b2)?
Correct Answer:
C: 7
Explanation:
If (a+a+a)=(b+b+b+b)and (a+b)=7, then what is the value of (a2-b2)? Correct Answer 7 ব্যাখাঃ a + a + a = b + b + b + b 3a = 4b and, a + b = 7 3a + 3b = 7× 3 [ উভয়ের সাথে ৩ গুন করে] 4b + 3b = 21 [ 3a = 4b ] 7b = 21 b = 3 এখন, a + b = 7 a = 7 y b a = 7 - 3 a = 4 a2 - b2 = 42 - 32 = 16 - 9 = 7
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----
Correct Answer:
C: 15.17 seconds
Explanation:
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---- Correct Answer 15.17 seconds Hints: 7 second এ জন্মগ্রহন করে 1 জন 1 second এ জন্মগ্রহন করে 1/ 7 জন একইভাবে 13 second এ মৃত্যবরণ করে 1 জন 1 second এ মৃত্যুবরণ করে 1/ 13 জন growth in 1 second = ( 1/7 - 1/13) = 6 / 91 6/91 জন জন্মগ্রহন করে 1 sec 1 জন জন্মগ্রহন করে 91 / 6 second = 15. 17 second এ।
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?
Correct Answer:
A: 50 mph
Explanation:
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? Correct Answer 50 mph Hints : উভয় পথে একই দূরুত্বে যাবে। প্রথমে, সময় = দূরুত্ব / বেগ = 10 / 75 hour = (10× 60) / 75 minute = 8 minute. round trip অর্থাৎ যেতে আসতে মোট সময় দরকার 20 minute, 8 minute মিনিট যাওয়ার পথে ব্যয় হলে, আসার সময় = 20 - 8 = 12 minute বেগ = দূরুত্ব / সময় = 10 / 12 mil/min = 10/(12/60) m/hr = 50 m/h
চিনির মুল্য শতকরা ১৫ টাকা বেড়ে গেলে, চিনির ব্যবহার শতকরা কি পরিমাণ কমালে খরচের কোন পরিবর্তন হবে না?
Correct Answer:
গ: ১৩.০৪%
Explanation:
চিনির মুল্য শতকরা ১৫ টাকা বেড়ে গেলে, চিনির ব্যবহার শতকরা কি পরিমাণ কমালে খরচের কোন পরিবর্তন হবে না? সঠিক উত্তর ১৩.০৪% ১৫% বৃদ্ধিতে বর্তমান মূল্য (১০০ + ১৫) = ১১৫ ১১৫ টাকায় কমাতে হবে = ১৫ টাকা ∴১০০ টাকায় কমাতে হবে = {(১৫×১০০)/১১৫} টাকা = ১৩.০৪ %
What is the missing letter in the series of D H L R ---?
Correct Answer:
A: X
Explanation:
What is the missing letter in the series of D H L R ---? Correct Answer X The letters are arraned this way :<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>B</mi><mi>C</mi><mo>&#x2192;</mo><mi>D</mi><mo>,</mo><mo>&#xA0;</mo><mi>E</mi><mi>F</mi><mi>G</mi><mo>&#x2192;</mo><mi>H</mi><mo>,</mo><mo>&#xA0;</mo><mi>I</mi><mi>J</mi><mi>K</mi><mo>&#x2192;</mo><mi>L</mi></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>M</mi><mi>N</mi><mi>O</mi><mi>P</mi><mi>Q</mi><mo>&#x2192;</mo><mi>R</mi><mo>,</mo><mo>&#xA0;</mo><mo>&#x2234;</mo><mo>&#xA0;</mo><mi>S</mi><mi>T</mi><mi>U</mi><mi>V</mi><mi>W</mi><mo>&#x2192;</mo><mi>X</mi></math>
০.০০০৫/০.০৮= কত?
Correct Answer:
ক: ০.০০৬২৫
Explanation:
০.০০০৫/০.০৮= কত? সঠিক উত্তর ০.০০৬২৫ ০.০০০৫/০.০৮ = ৫ × ১০০/৮ × ১০০০০ = ১/১৬০ = ০.০০৬২৫
রোমান লিপিতে MC-M=কত?
Correct Answer:
ক: ১০০
আয়তক্ষেত্রের সন্নিহিত বাহু সমান হলে সেটি-
Correct Answer:
ঘ: বর্গক্ষেত্র
Explanation:
আয়তক্ষেত্রের সন্নিহিত বাহু সমান হলে সেটি- সঠিক উত্তর বর্গক্ষেত্র আয়তক্ষেত্রের ক্ষেত্রফল = (দৈর্ঘ্য ´×প্রস্থ) বর্গ একক। : আয়তের দু'টি সন্নিহিত বাহু সমান হলে তাকে বর্গ বলে।
একই হার সুদে ৩০০ টাকার ৪ বছরের সুদ এবং ৫০০ টাকার ৫ বছরের সুদ একত্রে ২২২টাকা হলে,শতকরা বার্ষিক সুদের হার কত?
Correct Answer:
খ: ৬%
Explanation:
একই হার সুদে ৩০০ টাকার ৪ বছরের সুদ এবং ৫০০ টাকার ৫ বছরের সুদ একত্রে ২২২টাকা হলে,শতকরা বার্ষিক সুদের হার কত? সঠিক উত্তর ৬% আসল = ৩০০×৪ = ১২০০ টাকার ১ বছরের সুদ আবার, ৫০০×৫ = ২৫০০ টাকার ১ বছরের সুদ (১২০০ + ২৫০০) = ৩৭০০ টাকার ১ বছরের সুদ ২২২ টাকা ∴১০০ টাকার ১ বছরের সুদ = ১০০×২২২/৩৭০০ = ৬%
দুটি সংখ্যার বর্গের সমষ্টি ৫২ এবং সংখ্যা দুটির গুনফল ২৪ হলে সংখ্যা দুটির বর্গের অন্তর হবে--
Correct Answer:
ঘ: ২০
Explanation:
দুটি সংখ্যার বর্গের সমষ্টি ৫২ এবং সংখ্যা দুটির গুনফল ২৪ হলে সংখ্যা দুটির বর্গের অন্তর হবে-- সঠিক উত্তর ২০ x² + y² = 52 এবং xy = 24 (x - y)² = x² + y² - 2xy = 52 - 2×24 = 52 - 48 = ✓4 ∴ x - y = 2 ∴(x + y)² = (x - y)² + 4xy = 2² + 4×24 = 4 + 96 = ✓100 ∴ x + y = 10 ∴ x² - y² = (x + y)(x - y) = 10×2 = 20
কোন ক্ষুদ্রত্তম সংখ্যাকে ৩, ৫, ৬ দ্বারা ভাগ করলে প্রতি ক্ষেত্রে ১ অবশিষ্ট থাকবে?
Correct Answer:
গ: ১৯
দুটি ক্রমিক সংখ্যার বর্গের অন্তর ৯৫ হলে বড় সংখ্যাটি কত?
Correct Answer:
খ: ৪৮
Explanation:
দুটি ক্রমিক সংখ্যার বর্গের অন্তর ৯৫ হলে বড় সংখ্যাটি কত? সঠিক উত্তর ৪৮ , ছোট সংখ্যাটি = x বড় সংখ্যাটি = (x + ১) প্রশ্নমতে, (x + ১)২ - x২ = ৯৫ = > x২ + ২x + ১ - x২ = ৯৫ = >২x = ৯৫ - ১ = > x = ৯৪/২ = > x = ৪৭ বড় সংখ্যাটি ৪৭ + ১ = ৪৮
Three pipes P, Q and R can fill a tank in 6 hours. After running all three together for 2 hours, R is closed and P and Q can fill the remaining part in 7 hours. The number of hours taken by R alone to fill the tank is ---
Correct Answer:
C: 14
Explanation:
Three pipes P, Q and R can fill a tank in 6 hours. After running all three together for 2 hours, R is closed and P and Q can fill the remaining part in 7 hours. The number of hours taken by R alone to fill the tank is --- Correct Answer 14 P,Q এবং R একত্রে 6 ঘণ্টায় পূর্ণ করে 1টি tankP,Q এবং R একত্রে 2 ঘণ্টায় পূর্ণ করে <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>6</mn></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>3</mn></mfrac></math> অংশ⸫ অবশিষ্ট থাকে <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>1</mn><mo> - </mo><mfrac><mn>1</mn><mn>3</mn></mfrac></mrow></mfenced><mo> = </mo><mfrac><mn>2</mn><mn>3</mn></mfrac></math> অংশP এবং Q একত্রে 7 ঘণ্টায় পূর্ণ করে <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>3</mn></mfrac></math> অংশP এবং Q একত্রে 1 ঘণ্টায় " " <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mrow><mn>7</mn><mo>&#xD7;</mo><mn>3</mn></mrow></mfrac><mo> = </mo><mfrac><mn>2</mn><mn>21</mn></mfrac></math> অংশP,Q এবং R একত্রে 1 ঘণ্টায় পূর্ণ করে tank - এর <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>6</mn></mfrac></math> অংশ⸫ R একা 1 ঘণ্টায় পূর্ণ করে <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac><mo> - </mo><mfrac><mn>2</mn><mn>21</mn></mfrac></mrow></mfenced><mo> = </mo><mfrac><mrow><mn>7</mn><mo> - </mo><mn>6</mn></mrow><mn>42</mn></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>14</mn></mfrac></math> অংশ R একা <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>14</mn></mfrac></math> অংশ পূর্ণ করে 1 ঘণ্টায়⸫ R একা 1 বা সম্পূর্ণ অংশ পূর্ণ করে 14 ঘণ্টায়।
একটি বর্গক্ষেত্রের আয়তন ৯০০ বর্গফুট। প্রতি বাহু থেকে ২ গজ কমালে এর আয়তন কত বর্গগজ হবে?
Correct Answer:
ক: ৬৪