Explanation:

The ratio of two numbers is 3 : 4 and their sum is 420. The greater of the two numbers is Correct Answer 240 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> 3x + 4x = 420<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mn>7</mn><mi>x</mi><mo> = </mo><mn>420</mn><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> = </mo><mn>60</mn><mspace linebreak = "newline"/><mo>∴</mo><mn>4</mn><mi>x</mi><mo> = </mo><mn>240</mn></math>

Explanation:

The bengal soap powder is packed in cube shaped cartons. A carton measure 10cm each side.The company decide to increase the edge of box 10% .How much does the volume increase? Correct Answer 331 Initial volume = 103 = 1000 cc New edge = 10 + 10% of 10 = 10 + 1 = 11 cm New volume = 113 = 1331 cc Volume increament = 1331 - 1000 = 331 cc

Explanation:

the average of 10 numbers is 7. what will be the new average if each of the numbers is multiplied by 8? Correct Answer 56 The sum is = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo>×</mo><mn>7</mn><mo> = </mo><mn>70</mn></math>New Sum is = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>70</mn><mo>×</mo><mn>8</mn><mo> = </mo><mn>560</mn></math>and new average Sum is = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>560</mn><mo>÷</mo><mn>10</mn><mo> = </mo><mn>56</mn></math>

Explanation:

Find the least number of six digits which is exactly divisible by 15 , 21 and 28. Correct Answer 100380 এ ধরনের Math করতে অর্থাৰ least number করতে divisible by no - গুলোর 15, 21, 28 এখানে এর ল. সা. গু - 3 15, 21, 287 5, 7, 285, 1, 4 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> নির্ণেয় ল. সা. গু = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>×</mo><mn>7</mn><mo>×</mo><mn>6</mn><mo>×</mo><mn>4</mn><mo> = </mo><mn>420</mn></math>প্রাপ্ত ল. সা. গু দিয়ে ৪টি option কে ভাগ করলে যেটির ভাগশেণ থাকবে না সেটিই উত্তর। সুতরাং <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>100380</mn><mo>÷</mo><mn>420</mn><mo> = </mo><mn>239</mn></math>

Explanation:

Approximately what percent of class VIII students play Cricket out of the total students playing Cricket . Correct Answer 15 এখানে মোট কতজন VIII class থেকে cricket খেলে তা সর্বমোট কতজন ক্রিকেট খেলে তা বের করে শতকরা করতে হবে। <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>25</mn><mrow><mn>38</mn><mo> + </mo><mn>40</mn><mo> + </mo><mn>12</mn><mo> + </mo><mn>17</mn><mo> + </mo><mn>25</mn><mo> + </mo><mn>18</mn><mo> + </mo><mn>20</mn></mrow></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mo> = </mo><mn>14</mn><mo>.</mo><mn>7</mn><mo>%</mo></math>

Explanation:

From a batch of 3000light bulbs, 100 were selected at random and tested. If 5of bulbs on the sample found defective,How many defective bulb will be found in entire batch? Correct Answer 150 Of 100 bulbs, the number of defective bulbs is 5 So, of 3000 bulbs, the number of defective bulbs is = 5 x 3000 / 100 = 150.

Explanation:

Approximately what percent of Class X students play Table Tennis out of the total class x students playing the different given games? Correct Answer 18 The percentage of class X students play Table Tennis is <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>21</mn><mrow><mn>5</mn><mo> + </mo><mn>12</mn><mo> + </mo><mn>7</mn><mo> + </mo><mn>21</mn><mo> + </mo><mn>18</mn><mo> + </mo><mn>8</mn><mo> + </mo><mn>11</mn><mo> + </mo><mn>33</mn></mrow></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mo> = </mo><mn>18</mn><mo>.</mo><mn>26</mn><mo>%</mo></math>

Explanation:

1 quintal 25 kg is what percent of 1 metric ton? Correct Answer 12 1/2% 1 quintal = 100kg; 1 metric ton = 1000kg<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mo>%</mo><mo> = </mo><mfrac><mrow><mn>100</mn><mo> + </mo><mn>25</mn></mrow><mn>1000</mn></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mo> = </mo><mn>12</mn><mo>.</mo><mn>5</mn><mo>%</mo></math>

Explanation:

which game has ascending number of students from class IX to XII? Correct Answer None of these No game has ascending number of student from class IX to XII.Thats why the answer will be none of these

Explanation:

If income of Rahim is 25% more than that of Karim, then income of Karim will be how much less than that of Rahim? Correct Answer 20% let, Karim's income is 100 tk as,Rahim's income is 25% more so, Rahim's income is 125 tk income of Karim will be how much less than that of Rahim by = (125 - 100)/125 * 100% = 20% ans: 20%

Explanation:

The sum of the angles of a square is : Correct Answer 360০ Since we know all the angles of a square measure 90° and there are 4 angles in total,Sum of the angles = 90° × 4 = ​​​​​​​360°

Explanation:

Price of a product is discounted by 20% and the reduced price is then discounted by 5%. The ultimate discount is: Correct Answer 24% Let, the price of product be 100  and then after first discount price becomes = 100 - 20 = 80 tk  and then again it is discounted by = 5% of 80 = 4 tk  so price of telvision becomes = 80 - 4 = 76 tk So,The ultimate discount is = 100 - 76 = 24 tk ans: 24%

Explanation:

Sampa is 10 years older than Sanda. In 7 years time, Sampa will be twice asold as Sanda. What is the age of Sampa now in yoars. Correct Answer 13 Let the present age of Sanda is x Present age of Sampa is x + 10 In 7 years Sampa’s age is x + 10 + 7 = x + 17 B’s age is x + 7 x + 17 = 2(x + 7) or,x + 17 = 2x + 14 ∴ x = 3 so, Present age of Sampa is 3 + 10 = 13 yrs ans: 13 yrs

Explanation:

A man can row a boat at 10 km/hr in still water. If the speed of the stream is 6 km/hr, the time taken to row a distance of 80 km downstream is: Correct Answer 20 hours Relative downstream speed = 10 + 6 = 16 km/hr So, time needed = distance / speed = 80 / 16 =  5 hours.

Explanation:

The average of a, b, c is 6 and a-b = 4, ab = 21, what is the value of c ? Correct Answer 8 Here, a - b = 4 or, a = b + 4 - - - - - - (i) Again,  ab = 21 or,    (b + 4)b = 21 [from (i)] or, b2 + 4b - 21 = 0 or. b2 + 7b - 3b - 21 = 0 or, b(b + 7) - 3(b + 7) = 0 or, (b + 7) (b - 3) = 0 or, b - 3 = 0  [b ≠ - 7] So, b = 3. Now,  a + b + c = 6 x 3 or,   a + b + c = 18 or,   b + 4 + b + c = 18 [from(i)] or,  3 + 4 + 3 + c = 18 or,  c = 18 - 10 = 8

Explanation:

If the radius of a circle is increased by 6%, then the area of the circle is increased by - Correct Answer 12.36% Initial area =  πr2 New radius = r + 6% of r = 1.06r So, new area =  π(1.06r)2 = 1.1236πr2 So, percentage of increase in area = (1.1236πr2 -  πr2) / πr2 x 100% = 12.36%

Explanation:

A truck dirver must complete a 180-mile trip in 4 housr. If his average speed is 50 miles per hour for first 3 hours , then how fast must he travel for the final hour ? Correct Answer 30 Distance travelled in the first 3 hours = 50 x 3 = 150 mile. Remaining distance to be covered in the final hour = 180 - 150 = 30 mile

Explanation:

From 7 boys and 5 girls, 6 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 3 girls? Correct Answer 350 Ways of selecting 3 girls out of 5 =  5C3  = 10 Number of boys to be selected = 6 - 3 = 3 Ways of selecting 3 boys out of 7 =  7C3  = 35 So, total ways = 10 x 35 =  350

Explanation:

A digital 12 hour clock falls behind 10 minutes each day. How many days will it take to reach a point where the clock will indicate the correct time? Correct Answer 72 it falls behind 10 mins each day so to show correct time it should lose 12 hours(720 mins) if it has only 12 hour divisions no. of days = 720/10 = 72 so in 72 days it would lose 720 mins or 12 hours after 72 days it would show the time correctly.

Explanation:

A man can row downstream at 10 kmph and upstream at 5 kmph. The man's rowing rate in still water is ---- Correct Answer 7.5 km/hr Let the man's rowing rate and stream's flowing rate be U and V respectively. So,     U + V = 10 And,   U - V = 5 - - - - - - - - - - - - - - - - - - - - - - - U + U = 10 + 5  [By addition] or,  2U = 15 So,  U = 7.5 km/hr

Explanation:

If x is an integer , then which of the following is always an even integer ? Correct Answer 2x+2  x-1, x+1, x+2 এগুলো x এর যে কোন মানের জন্যে even or odd উভয়ই হতে পারে। কিন্তু 2x+2 সবসময় x যে কোন মানের জন্যে even হবে।

Explanation:

The diameter of a wheel is 63 cm. Distance traveled by the wheel in 100 revolutions is ---- Correct Answer 198 meters Radius of the wheel, R = 63/2 cm = 31.5 cm Distance travelled in one revolution = 2 π R = 2 π x (31.5) = 63 π  cm = 0.63 π meters  So, distance travelled in 100 revolutions = 100 x 0.63 π  = 63 x 3.1416 =  198 meters

Explanation:

0.777777/0.011=? Correct Answer 70.707 0.7777770.011  = 777777×100011×1000000 = 70707×10001000000 = 707071000 = 70.707

Explanation:

If the average of four numbers K, 2k+3, 3k-5, and 5k+1 is 63. What is the value of k? Correct Answer 23 ATQ, [(k) + (2k + 3) + (3k - 5) + (5k + 1)]/4 = 63 = > 11k - 1 = 252 = > k = 253/11 = 23 ans: 23

Explanation:

0.1 is how many times greater than 0.001? Correct Answer 100 0.1/0.001 =1*10-11*10-3 =1*102 =100     Answer

Explanation:

If the product of three consecutive integers is 210, then the sum of the two smaller integers is - Correct Answer 11 Here,  210 = 2 x 3 x 5 x 7 Product of three consecutive integers 5, 6 & 7 = 5 x 6 x 7 = 210. So, the sum of the first two integers = 5 + 6 = 11

Explanation:

A Company employs 15 persons, each works 44 hours a week . If 4 persons are absent, how many hours a week would the rest of the persons have to work to make up the time lost ? Correct Answer 60 Total work hours per week = 44 x 15 = 660 Persons present = 15 - 4 = 11 Working hour per person = 660 / 11 = 60 hours per week.

Explanation:

The arithmetic mean of the set of observations 1, 2, 3, --------n is ----- Correct Answer n+1/2 The arithmetic mean of a set of numbers is equal to the sum of the numbers divided by the total number of numbers. In this case, we want to find the arithmetic mean of the set of observations from 1 to n.The sum of the numbers from 1 to n can be found using the formula for the sum of an arithmetic series:sum = (n/2)(first term + last term)In this case, the first term is 1, the last term is n, and the common difference is 1. Therefore, we have:sum = (n/2)(n+1)The total number of numbers in the set is n, so the arithmetic mean is:mean = sum/nSubstituting the expression for sum, we get:mean = [(n/2)(n+1)]/nSimplifying, we get:mean = (n+1)/2Therefore, the arithmetic mean of the set of observations 1, 2, 3, ..., n is (n+1)/2

Explanation:

If 15 men can reap a field in 35 days, in how many days will 21 men reap the field? Correct Answer 25 days 15 men can reap the field in 35 days 1 man can reap the field in 35 x 15 days So, 21 men can reap the field in 35 x 15 / 21 =  25 days

Explanation:

On a shipping trip, Karim spent 1/3 of his money for a jacket and another Tk. 5 for a hat. If he still had 1/2 of his money left, how much money did he save originally? Correct Answer TK 30 Let Karim has Tk. x initially. ATQ x - [(x/3) + 5] = x/2 or,6x - [2x + 30] = 3x, or or,6x - 2x - 3x = 30, or ∴ x = 30 ans: 30 tk

Explanation:

If the circumference of a circle is increased by 50%, its area will be increased by : Correct Answer 125% Circumference of a circle increases only with radius. Therefore, radius of the circle gets increased by 50%. Now, new radius = R + 50% of R = 1.5R Initial area =  π R2 New area =  π (1.5R)2 = 2.25 π R2 Percent increase = ((2.25 π R2) - (π R2)} / (π R2)  x 100% = 125%

Explanation:

A man walked 2 miles east, then 2 miles south, then again 4 miles east and finally 10 miles north . How far did he wald from the starting point ? Correct Answer 10 He total walked northwards = 10 - 2 = 8 miles  He total walked eastwards = 2 + 4 = 6 miles His direct distance from the starting point = √(82 + 62 = √100 = 10 miles

Explanation:

Find the missing number in the series 3, 6, 18, 72, 360, - Correct Answer 2160 The series 3, 6, 18, 72, 360, - follows the following pattern: - 3 x 2 = 6 6 x 3 = 18 18 x 4 = 72 72 x 5 = 360 360 x 6 = 2160 So, the missing number is 2160.

Explanation:

What is the rate of discount if a product costing Tk 500 is sold for Tk. 470? Correct Answer 0.06 product costing price = 500 tk sold at = 470 tk :.rate of discount = ( 500 - 470)/500                             = 30/500 = .06tk (ans)

Explanation:

Novera bought a ticket of a cricket match for TK. 25 and later sold the ticket to Nahid for TK. 75. What was the percent increase in the price of the ticket ? Correct Answer 200% Profit = (0.75 - 0.25) / 0.25 x 100% = 0.5 / 0.25 x 100% = 200%

Explanation:

In an acute angled Triangle, the number of acute angles is Correct Answer 3 In any triangle, there are three angles. An acute-angled triangle is defined as a triangle in which all three angles are acute angles.

Explanation:

The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees ? Correct Answer 80 Let the angles be 2x, 3x and 4x respectively. Now,  2x + 3x + 4x = 180­° or,  9x = 180° or,  x = 180/9 = 20 So, the largest angle = 4x = 4 x 20 = 80°

Explanation:

Which of the following fraction is the smallest ? Correct Answer 2/9 here,2/9 = 0.225/8 = 0.6251/2 = 0.57/12 = 0.582/9 is the smallest of other

Explanation:

The smallest five digit number that can be formed by using the digits 9 , 7, 4 ,0 and 1 , each only once, is Correct Answer 10479 As there are only 5 digits available, we have to use all of the digits to form a 5 digit number. To form the smallest number possible using these numbers, the smallest digits should be the first digit of the number and the other digits in an increasing order. But, 0 being the smallest digit here, the number actually becomes a 4 digit numbers in that case. So, we need to put 1 in the first place instead of 0. The arrangement of the digits is 1>0>4>7>9 and so the smallest number is 10479.

Explanation:

If 4 is subtracted from one-fourth of a number , the result is 20. which of the following is the number ? Correct Answer 96 Let the number be N. ATQ,   N/4 - 4 = 20 or, N/4 = 20 + 4 or, N = 24 x 4 So, N = 96

Explanation:

In the figure ABCD is a square. If the length of the square is 10 ft, then what will be the area of the triangle OCD ? Correct Answer 25 sft To find out how many times greater 0.1 is than 0.001, we need to divide the larger number (0.1) by the smaller number (0.001).0.1 / 0.001 = 100

Explanation:

A manufacturer of jam wants to make a profit of Tk. 0.65 each to make first 100 jars of jams and Tk. 0.55 to make each jar after the first 100. How much profit he will make from 300 jars of jam? Correct Answer Tk. 175 Profit from first 100 jars = 0.65×100 = 65 TK. Profit from the rest (300 - 100 = 200) jars = 0.55×200 = 110 TK Total profit = 65 + 110 = 175 TK

Explanation:

The deference between 59% of 650 and 82% of 444 is Correct Answer 19.42 The difference = (59% of 650) - (82% of 444)                           = 59 / 100 x 650 - 82 / 100 x 444                           = 383.5 - 364.08 = 19.42

Explanation:

Mr. Khan's salary is TK. 5000.00 and he gets 10% commission of his salary. If his salary increased by 10%, by what percent his commission will increase ? Correct Answer 10% Even if the percentage of his commission remains the same, his total commission will increase due to the increament of his salary. Previous commission = 10% of 5000 = 500 New salary = 5000 + 10% of 5000 = 5000 + 500 = 5500 New commission = 10% of 5500 = 550 Increament of commission = (550 - 500) / 500 x 100% = 10%

Explanation:

what is the largest number of mangoes not exceeding 440 that can be distribute among three persons in the proportions 5^ 6^ 7? Correct Answer 432 The sum of the proportions = 5 + 6 + 7 = 18 Now, 18 ÷440 ভাগফল = 24, ভাগশেষ = 8 Largest distributed number of mangoes = 440 - 8 = 432

Explanation:

The average of 7 numbers of 40. If 3 more numbers, with an average of 21, are added to these numbers, what will be the average of the combined 10 number? Correct Answer 34.3 The average of 7 numbers of 40. If 3 more numbers, with an average of 21, are added to these numbers, what will be the average of the combined 10 number? Total of 7 numbers = 7 x 40 = 280 Total of 3 numbers = 3 x 21 = 63 Total of (7 + 3 = 10) numbers  = 280 + 63 = 343 So, average = 343 / 10 = 34.3

Explanation:

A's office is 4 km due east of B's office . C's office is 6 km due north of B's office and 4 km due east of D's office. What is the straight-line distance, in km, from A's office to D's? Correct Answer 10 To find the straight-line distance from A's office to D's office, we need to find the distance between points A and D on a coordinate plane.Let's assume that A is located at the origin (0, 0) of the coordinate plane. Then B's office is located at point (4, 0), C's office is located at point (4, 6), and D's office is located at point (8, 6).Using the distance formula, we can find the distance between A and D:distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]where (x1, y1) are the coordinates of A and (x2, y2) are the coordinates of D.Substituting the values, we get:distance = sqrt[(8 - 0)^2 + (6 - 0)^2] = sqrt[64 + 36] = sqrt[100] = 10Therefore, the straight-line distance from A's office to D's office is 10 km.