Explanation:

125 gallons of a mixture contains 20% water . What amount of additional water should be added such that the water content is raised to 25%? Correct Answer 8 13 gallons 20% of 125 gal = 0.20 × 125 gallon = 25 gal water Lets add w gal water such that the water content is raised to 25% so, 25 + w = 0.25 (o 125 + w) 25 + w = 31.25 + . 25w w - 0.25w = 31.25 - 25 0.75 w = 6.25 w = 8.33 বা 8 1/3

Explanation:

If a square region has area n, what is the length of the diagonal of the square in terms of n? Correct Answer 2n বর্গের diagonal বা কর্ণ = √2a; যেখানে a = বাহুর দৈর্ঘ্য। এবং বর্গের ক্ষেত্রফল a2 বর্গ একক তাহলে a2 = n∴a = √nDiagonal = √2 .√n = √2n একক

Explanation:

If a>b>1 , then which of the following is true? Correct Answer a2>b2 Let, a = 3 & b = 2 Option a) a2> b2 = (3)2> (2)2 = 9 > 4 True Option b) a2 < ab = (3)2 < 3 x 2 = 9<6 false Option c) b + a > 2a = 2 + 3> 2 x 3 = 5 > 6 false Option d) a – b<0 = 3 - 2<0 = 1< 0 false

Explanation:

If the sides of a square is increased by 10%, by what percent will the area of the square be increased ? Correct Answer 21% ধরি,বর্গক্ষেত্রের একবাহুর দৈর্ঘ্য = x একক " ক্ষেত্রফল = <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> বর্গএকক<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> 10% বৃদ্ধিতে নতুন দৈঘ্য একক = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>x</mi><mo> + </mo><mi>x</mi><mo>×</mo><mfrac><mn>10</mn><mn>100</mn></mfrac></mrow></mfenced><mo> = </mo><mfenced><mrow><mi>x</mi><mo> + </mo><mfrac><mi>x</mi><mn>10</mn></mfrac></mrow></mfenced><mo> = </mo><mfrac><mrow><mn>11</mn><mi>x</mi></mrow><mn>10</mn></mfrac></math> একক<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> 10% " " ক্ষেত্রফল = <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mfenced><mfrac><mrow><mn>11</mn><mi>x</mi></mrow><mn>10</mn></mfrac></mfenced><mn>2</mn></msup></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>121</mn><msup><mi>x</mi><mn>2</mn></msup></mrow><mn>100</mn></mfrac></math> বর্গএককসুতরাং, ক্ষেত্রফল বৃদ্ধি পায় = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mrow><mn>121</mn><msup><mi>x</mi><mn>2</mn></msup></mrow><mn>100</mn></mfrac><mo> - </mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced><mo> = </mo><mfenced><mfrac><mrow><mn>121</mn><msup><mi>x</mi><mn>2</mn></msup><mo> - </mo><mn>100</mn><msup><mi>x</mi><mn>2</mn></msup></mrow><mn>100</mn></mfrac></mfenced><mo> = </mo><mfrac><mrow><mn>21</mn><msup><mi>x</mi><mn>2</mn></msup></mrow><mn>100</mn></mfrac></math> বর্গএকক<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> ক্ষেত্রফল বৃদ্ধির হার = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>21</mn><msup><mi>x</mi><mn>2</mn></msup></mrow><mstyle displaystyle = "true"><mfrac><mn>100</mn><msup><mi>x</mi><mn>2</mn></msup></mfrac></mstyle></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mo> = </mo><mfrac><mrow><mn>21</mn><msup><mi>x</mi><mn>2</mn></msup></mrow><mn>100</mn></mfrac><mo>×</mo><mfrac><mn>1</mn><msup><mi>x</mi><mn>2</mn></msup></mfrac><mo>×</mo><mn>100</mn><mo>%</mo></math> = 21%

Explanation:

what is the value of x + 15 ? (i) x3=27 (ii) x5=243 Correct Answer EACH statement ALONE is sufficient . Verb signals এরপর শূন্যস্থানে এবং এরপর adjective ready থাকাতে blank space এ relative pronoun যুক্ত অংশ বসবে। কারণ adjective - এরপূর্বে এবং singals এরপর her, is she বা she যথাযথ নয়। সুতরাং সঠিক উত্তর that she is।

Explanation:

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 104, what was the number of bacteria in the population 1 hour later? Correct Answer (26) (104) এখানে, চক্রবৃদ্ধি মুনাফার সুত্র প্রযোজ্যC = p(1 + r)n = 104(1 + 100100)6 = 104×26 এখানে, n = 60/10 = 6p = 104r = 100%

Explanation:

10% of 80 is equal to what percentage of 40? Correct Answer 20% ধরি, 80 এর 10% হচ্ছে 40 এর x% এর সমান।<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mn>80</mn><mo>×</mo><mfrac><mn>10</mn><mn>100</mn></mfrac><mo> = </mo><mn>40</mn><mo>×</mo><mfrac><mi>x</mi><mn>100</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>x</mi><mo> = </mo><mfrac><mrow><mn>80</mn><mo>×</mo><mn>10</mn></mrow><mn>40</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> x = 20

Explanation:

A will will 8m long, and 22.5 cm thick is made of bricks, each measuring 25 cm X 11.5 cm X 6cm. The numbe of bricks will be required to surround the plot? Correct Answer 24 সঠিক উত্তর e । Unretractable - অনড়। Unreadable - অপাঠ্য। Unimaginable - অকল্পনীয়। Unfahionable - পুরোনো।

Explanation:

The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much grater than twice the sum of the two original numbers? Correct Answer (p+4) times Let, One number is = x; other = y xy = P —– (i) (x + 2) (y + 2) = xy + 2y + 2x + y xy + 2 (x + y) + 4 = xy + 4 + 2(x + y) = P + 4 + 2(x + y) The new result is (P + 4) greater. ans: (P + 4) times

Explanation:

A triangular plot with sides of 25 feet and 55 feet is to surrounded by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot? Correct Answer 24 এখানে Endearing (স্নেহ সঞ্চারক) হলো odd word. অন্যান্য word গুলোর অর্থ শ্রমসাধ্য।

Explanation:

The average age of 12 children is 15 years. If another child comes the averages age comes to 13. What is the age new child? Correct Answer 13.85 years Prefix ambi (উভয়) - এর ভুল প্রয়োগ হলো ambignosis শব্দে।

Explanation:

A pump can fill with water in 2 hours. Because of a leak, it took 213 hours to fill the bank . The leak can drain all water of the tank in: Correct Answer 14 hrs. Because of leak fill the tank in 7/3 h In 1 hour fill the tank 3/7 part Fill the tank in 2 hour So in 1 hour fill the tank 1/2 part ATQ, 1/2 - 3/7 = 1/14 part in 1 hour So, 1 part fill the tank 14 hour ans: 14 hrs

Explanation:

The difference between 150 and 54 is _____ Correct Answer 26 <math xmlns = "http://www.w3.org/1998/Math/MathML"><msqrt><mn>150</mn></msqrt><mo> - </mo><msqrt><mn>54</mn></msqrt><mo> = </mo><mn>5</mn><msqrt><mn>6</mn></msqrt><mo> - </mo><mn>3</mn><msqrt><mn>6</mn></msqrt><mo> = </mo><mn>2</mn><msqrt><mn>6</mn></msqrt></math>

Explanation:

If U is placed in compartment 5, which of the following products must be placed in compartment 6? Correct Answer Y U কে 5 নং কক্ষে দেওয়া হলে বাকি Product - গুলোর অবস্থান নিম্নরূপঅর্থাৎ শর্ত মেনে W, X, V, Z ও Y কে যথাক্রমে 1, 2, 3, 4, ও 6 নং কক্ষে দিতে হয়।

Explanation:

What is the product of the odd integers between -8 and 8 ? Correct Answer 11025 - 8 থেকে 8 পর্যন্ত বিজোড় স্বাভাবিক সংখ্যাগুলো হলো - - 7, - 5, - 3, - 1,1,3,5,7। সুতরাং এদের গুণফল = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo> - </mo><mn>7</mn></mrow></mfenced><mo>×</mo><mfenced><mrow><mo> - </mo><mn>5</mn></mrow></mfenced><mo>×</mo><mfenced><mrow><mo> - </mo><mn>3</mn></mrow></mfenced><mo>×</mo><mfenced><mrow><mo> - </mo><mn>1</mn></mrow></mfenced><mo>×</mo><mn>1</mn><mo>×</mo><mn>3</mn><mo>×</mo><mn>5</mn><mo>×</mo><mn>7</mn></math> = 11025

Explanation:

A certain amount is distributed among A, B and C. A gets 310 and B14 of the whole amount . If C gets Tk. 81 then B gets: Correct Answer 45 TK. Let a certain amount is x A = 3x/10, B = x/4 ATQ, (3x/10) + (x/4) = x - 81 11x = 20x - 1620 9x = 1620 x = 180 So B gets, 180/4 = 45 Tk (ans)

Explanation:

What is 10% of 20% of 30% Correct Answer 0.6% <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>%</mo><mo>×</mo><mn>20</mn><mo>%</mo><mo>×</mo><mn>30</mn><mo>%</mo><mo> = </mo><mfrac><mn>10</mn><mn>100</mn></mfrac><mo>×</mo><mfrac><mn>20</mn><mn>100</mn></mfrac><mo>×</mo><mn>30</mn><mo>%</mo><mo> = </mo><mn>0</mn><mo>.</mo><mn>6</mn><mo>%</mo></math>

Explanation:

A and B together can do a piece of work in 40 days. A having worked for 20 days, B finishes the remaining work alone in 60 days shall B finish the whole work alone? Correct Answer 80 days Let's A's 1 day's work = x and B 's 1 days work = Y Then x + y = 1/40 and 20x + 60y = 1 By solving these equation B alone can do in 80 days

Explanation:

A, B and C can complete a piece of work in 24, 6 and 12 days respectively . Working together , They will complete the same work in: Correct Answer 337day 1 day A does 1/24 part 1 day B does 1/6 part 1 day C does 1/12 part They do together in 1 day ( 1/24 + 1/6 + 1/12) part = 21/72 = 7/24 7/24 part do in 1 day So 1 part do 24/7 day = 3 × 3/7 day (ans)

Explanation:

If X is placed in compartment 3, W must be placed in compartment __ Correct Answer 2 x কে 3 নং কক্ষ স্থান দিলে W তার বামের কক্ষে অর্থাৎ ২ নং কক্ষে থাকবে।

Explanation:

The length of a rectangular plot is 3 folds its width . Half the area of the plot is covered by a playground whose area is 363 square meter . What is the length of the plot? Correct Answer 15. 51 m Let, width = x .:. The length of the plot = 3x ATQ, x × 3x = 363 × 2 ⇒3×2 = 363 × 2 ⇒ x = 15.56 The length of the plot = 3×15.56 = 46.67 m ans will be none of the options

Explanation:

If the word 'NATION' is writen as OCWMTT, how 'COUNTR' would be written in that code? Correct Answer DQXRYX N এর পরবর্তী অক্ষর OA " 1 টি অক্ষরের পরবর্তী অক্ষর ET " 2 টি " " " WI " 3 " " " " MO " 4 " " " " TN " 5 " " " " T C এর পববর্ত ী অক্ষর DO " 1 " " " " QU " 2 " " " " XN " 3 " " " " RT " 4 " " " " YR " 5 " " " " X

Explanation:

A dishonest shopkeeper professes to sell ghee at his cost price. But he these a defective weigth machine which reads of 950g for a kilogram. The gain of shopkeeper in percentage is Correct Answer 5.26 Venation - শিরাবিন্যাস। Attrition - ঘর্ষণ জনিত ক্ষয়। Diminution - হ্রাস। সুতরাং ভুল prefix যুক্ত word হলো Doclination. Do এর স্থলে De হলে শব্দটি অর্থপূর্ণ হতো। Declination নিম্নমুখী ঝোঁক।

Explanation:

If p denotes + , Q dentes -, R denotes ÷, and S denotes X, then what is the value of 18s36R12Q6p7? Correct Answer 55 18S 36R 12Q 6P7 = 18×36÷12 - 6 + 7 = 18×3 - 6 + 7 = 54 - 6 + 7 = 55

Explanation:

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed and A and B can fill the remaining part in 6 hours. The number of hours taken by C alone to fill the tank is: Correct Answer 18 hours A + B + C fill the tank in 6 hrs A + B + C fill in 2 hrs = 2/6 = 1/3 Remaining = 1 - 1/3 = 2/3 In 6 hrs A + B fill 2/3 In 1 hr A + B fill 2/3 × 1/6 = 1/9 Now C alone fill in 1 hr = 1/6 – 1/9 = 1/18 So, C needs 18 hrs to fill the tank. ans: 18 hrs

Explanation:

If x= 7 - 43 then find the value of (x+1x) ? Correct Answer 14 Question is wrong. it should be - If x = 7 – 4√3 then find the value of x + 1/x?     Solution: Given, x = 7 – 4√3 1/x = 1/(7 – 4√3) = (7 + 4√3)/ (7 – 4√3)( 7 + 4√3) = (7 + 4√3)/49 - 48 = (7 + 4√3)   x + 1/x = 7 – 4√3 + 7 + 4√3 = 14 (ans)

Explanation:

The average of 15 consecutive integers is 15. Find the smallest of the 15 integers? Correct Answer 8 ধরি, সংখ্যাগুলো হলো - x, x + 1, x + 2, ……………… , x + 14প্রশ্নমতে,<math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo> + </mo><mi>x</mi><mo> + </mo><mn>1</mn><mo> </mo><mi>x</mi><mo> + </mo><mn>2</mn><mo> </mo><mo>…</mo><mo>…</mo><mo>…</mo><mi>x</mi><mo> + </mo><mn>14</mn></mrow><mn>15</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> 15x + 105 = 225<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> 15x = 120<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>120</mn><mn>15</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> x = 8

Explanation:

A jar contains white, red and green marbles in the ratios 2 : 3 : 5 six more green marbles are added to the jars and then the ratio becomes 2 : 3: 7 Hoe may white marbles are there in the jar? Correct Answer 6 Ratio of W : R : G = 2: 3:5। If 6 Green is added, Ratio becomes W: R:G = 2: 3:7 Difference of ratio for 6 marbles = 7 – 5 = 2 For 1 ratio = 3 marbles   ∴ White marbles = 2×3 = 6 (ans)

Explanation:

Find the nixt number in the series : 3, 6, 4, 9,5,12,6....... Correct Answer 15 3, 6, 4, 9, 5, 12, 6, …….এখানে ধারাটির বিজোড় অবস্থানের পদগুলো হলো : 3, 4, 5, 6, ….. " " জোড় " " : 6, 9, 12, …….যেহেতু পরবর্তী পদটির অবস্থান জোড় অবস্থানে সুতরাং পরবর্তী পদ = 12 + 3 = 15।

Explanation:

Sum of 2 numbes is 23 and the difference is 21. What is the smallest of the two numbers? Correct Answer None of these ধরি, বড় সংখ্যাটি x এবং ছোট সংখ্যাটি y<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> x + y = 23এবং, x - y = 21( - ) ( + ) ( - )( - ) করে <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> 2y = 2<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> y = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>2</mn></mfrac></math>সুতরাং উত্তর হবে (d) None of these ।

Explanation:

Which of the following numbers can be placed at the sing of interrogation? 6 8 7 36 64 49 24 48 ? Correct Answer 35 62 = 36 এবং 6×(6 - 2) = 2482 = 64 এবং 8×(8 - 2) = 4872 = 49 এবং 7×(7 - 2) = 35প্রশ্নবোধক স্থানে সংখ্রাটি 35 হবে।

Explanation:

P works twice as fast Q. If Q can complex a work in 12 days independently, the number of days in which P and Q can together finish the works is_____ Correct Answer 4 days দৃষ্টি আকর্ষন কিংবা প্রভাব বিস্তারের জন্য Emotion প্রদর্শনীকে বলে histrionics ।

Explanation:

If 3x+2y=8 and 2x-2y=3, find the value 4-3x Correct Answer 2.6 3x + 2y = 82x - 2y = 3( + ) <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> 5x = 11<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mi>x</mi><mo> = </mo><mfrac><mn>11</mn><mn>5</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> 4 - 3x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo> - </mo><mfrac><mrow><mn>3</mn><mo>×</mo><mn>11</mn></mrow><mn>5</mn></mfrac><mo> = </mo><mn>4</mn><mo> - </mo><mfrac><mn>33</mn><mn>5</mn></mfrac><mo> = </mo><mfrac><mrow><mn>20</mn><mo> - </mo><mn>33</mn></mrow><mn>5</mn></mfrac><mo> = </mo><mfrac><mrow><mo> - </mo><mn>13</mn></mrow><mn>5</mn></mfrac></math> = - 2.6

Explanation:

A box contains 10 electric bulbs from which 2 bulbs are defective . Two bulbs are chosen at random. What is the probability that one of them is defective? Correct Answer 16/45 Defective 2; Normal ৪ Probability that one of them is defective will be, = (8C1×2C2)/10C2 = (8×2)/45   = 16/45 (ans)

Explanation:

A husband and wife have six married sons. Each of them has four children. The total number in the family is_____ Correct Answer 38 Lacking social grace, sensitivity or acuteness = gauche(সামাজিকভাবে অপ্রতিভ; কৌশলহীন)।

Explanation:

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed. Correct Answer 50% Let, Volume = LBH ATC, LBH + 50% of LBH = LBH + LBH/2 Let, H is to bbe increased by x% So, LB(H + Hx/100) = LBH + LBH/2 Or, LBH + LBHx/100 = LBH + LBH/2 Or, LBHx/100 = LBH/2 Or, x/100 = ½   Or, x = 50% ans: 50%

Explanation:

The ratio of boys and girls in a school is to 7. If there are 150 boys and girls, how many boys are there? Correct Answer 45 ধরি, ছাত্রের সংখ্যা = 3x ও ছাত্রীর সংখ্যা = 7x<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> 3x + 7x = 150<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> 10x = 150<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>150</mn><mn>10</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> x = 15 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> ছাত্রের সংখ্যা = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>3</mn><mo>×</mo><mn>15</mn></mrow></mfenced></math> জন = 45 জন।

Explanation:

As the price of mango has reduce by 20%, it is now possible to by 2 more mangoes Tk. What is the current price of 50 mangoes? Correct Answer Tk. 60 Prefix ir - এর ভুল প্রয়োগ হলো irrepeatable শব্দে। ir - এর স্থলে un যোগ করা হলে word টি অর্থপূর্ণ হতো । unrepeatable - পুনরাবৃত্তি করা যায় না এমন।

Explanation:

A gas tank is 1/5 th full and requires 32 gallons to make it 3/7 full. What is the capacity of the tank? Correct Answer 140 gallons Difference between the given two portion can hold 32 gallon Now, ( 3/7 - 1/5) = (15 - 7) / 35 = 8/35 th is equal to 32 gallons 1st (total) is equal to = (32× 35)/8 = 140