Explanation:

A train went 300 km from City to city at an average speed of 100 km/h. At what speed did it travel on the way back if/his its average speed for the whole trip was 120 km/h Correct Answer 150 km/h Let, Way back speed = x ATQ, 2×x×100/(x + 100) = 120 Or, 200x/(x + 100) = 120 Or, 200x = 120x + 12000 Or, 80x = 12000 Or, x = 150

Explanation:

The average of the first nine -prime numbers is: Correct Answer 1119 First nine prime numbers : 2, 3, 5, 7, 11, 13, 17, 19, 23average = sum of numbers / total numbers = (92+3+5+7+11+13+17+19+23​)/9= 100/9=​1119

Explanation:

Total production in July is 40 units. what is the approximate average unit cost for July? Correct Answer 140 The average cost for 40 units Would be given by (Total cost/No.of units) = ( 4000 + 800 + 1200)/40 = 600040 = 150

Explanation:

The average age of a husband, wife and their child 3 years ago was 27 years and the average age of the wife and the child 5 years ago was 20 years. What is the percent age of the husband? Correct Answer 40years 3 years ago their average age was = 27 years At present their average age = ( 27 + 3) = 30 years At present the summation of their age = 30×3 = 90 years Again, 5 years ago, the average age of child and wife was = 20 years At present their average age = 20 + 5 = 25 years. At present the summation of their age = 25×2 = 50 years So, at present the husbands age = 90 - 50 = 40 years

Explanation:

If 12a + 3b =1 and 7b-2a=9, what is the average of a and b? Correct Answer 0.5 12a + 3b = 1........... (1) 7b - 2a = 9........... (2) (1) + (2) = 10a + 10b = 10 a + b = 10/10 = 1 a + b/2 = 1/2 a + b/2 = 0.5 a এবং b এর গড় হলো 0.5

Explanation:

a motor -cycle covers 40 Km with a speed of 20 km /hr. Find the speed of the motor -cycle for the next 40 km journey so that the average speed of the whole journey will be 30 km / hr. Correct Answer 60.0km/hr Let the desired speed be x km/hr ATQ, 40/20 + 40/x = 80/30 Or, 1/20 + 1/x = 2/30 Or, 1/x = 1/15 - 1/20 Or, 1/x = (4 - 3)/60 Or, x = 60 So, the desired speed is 60 km/hr

Explanation:

The average of the three numbers x , y and z is 45 , x is greater than the average of y and z by 9. The average of y and z is greater than y by 2 .Then the difference of x and z is: Correct Answer 7 According to the question, ⇒(x + y + z)/3 = 45 ⇒x + y + z = 135.....(i) ⇒x = (y + z)/2 + 9 ⇒2x−y−z = 18.....(ii) x + y + z = 135 2x−y−z = 18 −−−−−−−−−−−− 3x = 153 x = 51 From (i) y + z = 135 - 51 = 84.....(iii) Also, ⇒(y + z)/2 = y + 2 ⇒y + z = 2y + 4 ⇒z−y = 4 + y + z = 84 −y + z = 4 −−−−−−−−− 2z = 88 z = 44 Required difference = 51 - 44 = 7

Explanation:

A train went 300 km city X to City at an average speed of 10 km/h. At what speed did it travel on the way back if its average speed for the whole trip was 120 km/h? Correct Answer 150 km/h 100 km/h এ city X থেকে city Y তে যেতে সময় লাগে 300/100 ঘন্টা = 3 ঘন্টা যাওয়া ও আসার জন্য মোট ভ্রমনের সময় লাগে = 300 × 2 /120 = 5 ঘন্টা সুতরাং, ফিরতি ভ্রমনের জন্য সময় থাকে = 5 - 3 = 2 ঘন্টা তাহলে ফিরতি বেগ হলে = 300/2 km/h = 150km/h

Explanation:

A man covers a total distance of 100 km on bicycle . For the first 2 hours , the speed was 20 km / hr and for the rest of the journey , it came down to 10 km / hr. The average speed will be Correct Answer 12.5 km / hr gullible (adjective): easily persuaded to believe something; credulous. "an attempt to persuade a gullible public to spend their money" Similar: credulous over - trusting over - trustful trustful easily deceived/led

Explanation:

The average of the first and the second of three numbers is 15 more than the average of the second and the third of these numbers .what is the difference between the first and the third of these three numbers? Correct Answer None of these Let Ist no = x 2nd no = y 3rd no = z According to Q. (x + y)/2 = 15 + (y + z)/2 Multiply above equation by 2 x + y = 30 + y + z So, x - z = 30 Difference of Ist & 3rd no is 30.

Explanation:

30 pens and 75 pencils altogether were purchased for Tk. 510 . If the average price of a pencil was Tk. 2 , what was the average price of a pen ? Correct Answer Tk. 12 According to the question, 30 pens + 75 pencils = Tk. 510 Average price of a pencil = Tk. 2 Price of 75 pencils = 2 × 75 = Tk. 150 ∴ Price of 30 pens = 510 - 150 = Tk. 360 ∴ Average price of pen = 360/30 = Tk. 12

Explanation:

In a class average the mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored less than 60? Correct Answer 16 TR, TP are two tangents drawn to a bigger circle from an external point T. we know that, length of tangents drawn from external point to circle are equal ∴TR = TP ___(i) Similarly TP, TQ are two tangent drawn to a smaller circle from an external point T. Again we have TP = TQ __(ii) From (i) & (ii), we have TR = TQ

Explanation:

On Monday, a person mailed 8 packages weighing an average of 1238 pounds and on Tuesday, 4 packages weighing an average of 1514 pounds. What was the average weight, on pounds, of all the packages the person mailed on both days? Correct Answer 1313 Total weight of packages mailed on the 1st day = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>12</mn><mfrac><mn>3</mn><mn>8</mn></mfrac><mo>×</mo><mn>8</mn><mo> = </mo><mn>99</mn><mo> </mo><mi>p</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>s</mi></math>Total weight of packages mailed on the 2nd day = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>15</mn><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>×</mo><mn>4</mn><mo> = </mo><mn>61</mn><mo> </mo><mi>p</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>s</mi></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> Average weight = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>99</mn><mo> + </mo><mn>61</mn></mrow><mrow><mn>8</mn><mo> + </mo><mn>4</mn></mrow></mfrac><mo> = </mo><mn>13</mn><mfrac><mn>1</mn><mn>3</mn></mfrac><mo> </mo><mi>p</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>s</mi></math>

Explanation:

The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is __ Correct Answer 24 The 6th number is = (50 × 9) – (5 × 54 + 3 × 52) = 450 – 426 = 24. Ans: D

Explanation:

A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. what is his average after the 13 innings ? Correct Answer 36 Average of 12 innings = x According to the question: (12x + 96)/13 = x + 5 x = 96 - 65 = 31. Average in 13 innings = 31 + 5 = 36 Ans: A

Explanation:

The average weight of 6 persons of a group is 75 kg.If a person weighting 50 kg leaves the group, what will be the average weight of the group m? Correct Answer 80 6 জনের মোট ওজন = (75 × 6) কেজি = 450 কেজি 50 কেজির একজন চলে যাওয়ার মোট ওজনের সমষ্টি = (450 - 50) কেজি = 400 কেজি ∴ বাকি 5 জনের গড় ওজন = 4005 কেজি = 80 কেজি।

Explanation:

The average daily wage of 10 workers is TK. 400. If the lowest wage is Tk. 300 what is the possible maximum wage in Tk. ? Correct Answer 1300 Total wage of 10 workers is Tk 4000 " " " " 99 " " " 2700 [as per wage Tk. 300] So, the possible maximum wage Tk (4000 - 2700) = Tk. 1300

Explanation:

The average of 6 numbers is 8.5. When one number is discard, the average of the remaining numbers becomes 7.2 what is the discarded number? Correct Answer 15 6 টি নাম্বার এর সমষ্টি ( 6×8.5) = 51 5 টি নাম্বার এর সমষ্টি ( 5 ×7.2) = 36 ( - ) বিয়োগ করে, = 15 Discarded সংখ্যাটি = 15

Explanation:

A distance of 320 miles is traveled in 20 hours. At the same average rate, how many miles are traveled in812 hours? Correct Answer 136 miles বাংলায় প্রথম মুসলিম বিজেতা ইখতিয়ার উদ্দিন মুহাম্মদ বিন বখতিয়ার খলজি ছিলেন জাতিতে তুর্কি, বংশে খলজি এবং আফগানিস্তানের অধিবাসী। তিনি ১২০৪ সালে বাংলা জয় করেন।

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:

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:

The average of 7 consecutive numbers is 33. The largest of these numbers is: Correct Answer 36 যেহেতু x - এর বামে অবশ্যই W বসবে সেহেতু x - এর বামে 1 টি খালি থাকতে হবে। যদি x - কে (1) নং কক্ষে (সবচেয়ে বামে) অবস্থান দেয়া হয় তবে তার বামে আর কোন কক্ষ থাকে না। সুতরাং x কোনো ভাবেই 1 নং কক্ষে থাকতে পারে না।

Explanation:

the average of 5 numbes is 40 . If 2 more numbers with an avearge of 21, are added to these numbers, What will be the average of the combined 7 numbers? Correct Answer 34.57 প্রথম number - এর সমষ্টি (40×5) = 200 পরের 2 টি " " " ( 21×2 ) = 42 ∴ 7 টি number - এর সমষ্টি (200 + 42) = 242 ∴ 7 টি " " গড়(242÷7) = 34.57

Explanation:

The average of 6 numbers is 8.5. When one number is discarded the average of the remaining numbers becomes 7.2. What is the discarded number? Correct Answer 15 6 টি সংখ্যার সমষ্টি (8.5×6) = 51 বাকি ৫ টি সংখ্যার সমষ্টি (7.2×5) = 36 ∴ বাদ দেয়া সংখ্যাটি হলো (51 - 36) = 15

Explanation:

Rahim average 70 in his first m number of exams. After taking n more exams, he had an overall average of 75. In items of m and n his average for last n exams was Correct Answer (5n/m)+75 m সংখ্যক exam - এর সমষ্টি 70m ধরি, n সংখ্যক exam - এর গড় x ∴ n সংখ্যক exam - এর সমষ্টি nx ∴ 70m + nx = 75 (m + n) ⇒ 70m + nx = 75 m + 75 m ⇒ nx = 5 m + 75n ⇒x =  5 m + 75n n = 5mn + 75

Explanation:

১৩, ১৬, ২৪, ৩৪ এর গড় কত? সঠিক উত্তর ২১ গড় = (১৩ + ১৬ + ১৮ + ২৪ + ৩৪)/৫ = ২১

Explanation:

A can complete a certain work in 4 minutes, B in 5 minutes, C in 6 minutes, D in 10 minutes and E in 12 minutes. The average number of units of work completed by them per minute will be Correct Answer None of these (A + B + C + D + E) can do in 1 Minute = (1/4) + (1/5) + (1/6) + (1/10) + (1/12) part = (15 + 12 + 10 + 6 + 5)/60 = 48/60 = 4/5 So, average = (4/5)/5 = 4/(5×5) = 4/25 = 0.16

Explanation:

The average weight of 39 students is 30 kg. By the admission of a new student, the average comes down to 29.8 kg. Find the weigth of the new student. Correct Answer 22 kg Let, the sum of 39 students' age = a, And the weight of the new student = b So, a39 = 30 ⸫ a = 39 × 30 And, a + b40 = 29.8 ⇒ a + b = 29.8 × 40 ⇒ b = 29.8 × 40 - a = 29.8 × 40 - 39 × 30 = 22 kg

Explanation:

The average of two numbers is 6.5 and square root of their product is 6 . What are the number? Correct Answer 9 and 4 {(x + y)/2} = 6.5 = > x + y = 13 আবার, ✓(xy) = 6 = > xy = 36 Option থেকে 9 + 4 = 14 এবং 6×4 = 36 So, Ans. 9 and 4

Explanation:

The average age 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 average age of the newly joined students? Correct Answer 18 Let the sum of 5 new student’s age is x Then according to question, (150 + x)/15 = 16 = )150 + x = 240 = x = 90 Average of their ages = sum/number = )90/5 = 18

Explanation:

The average of 2,7 and x is 5 and the average of 18, 1, 6 , 5 and y is 10 . What is the value of y? Correct Answer 20 (2 + 7 + 6 + x)/4 = 5 x = 20 - 15 ∴x = 5 (18 + 1 + 6 + x + y)/5 = 10 30 + y = 50 ∴y = 20

Explanation:

The average age of A,B,C,D and E is 40 years. The average age of A and B is 35 years and the average of C and D is 42 years. Age of E is - Correct Answer 46 A + B + C + D + E = 40 × 5 = 200 A + B = 35 × 2 = 70 C + D = 42 × 2 = 84 Therefore, E = (A + B + C + D + E) - (A + B + C + D) E = 200 - 70 - 84 E = 46 years

Explanation:

The average of 6 numbers is 7. The average of three numbers of them is 5. What will be the average of remaining numbers? Correct Answer 9 6 টি নাম্বার এর সমষ্টি ( 6×7) = 42 3 টি নাম্বার এর সমষ্টি ( 3 ×5) = 15  ( - ) বিয়োগ করে,     3 টি নাম্বার এর সমষ্টি = 27  Average = 27/3                 = 9

Explanation:

একটি গাড়ি ঘণ্টায় ২৫ মাইল বেগে ২ ঘণ্টা চলার পর পরবর্তী ৪ ঘন্টায় ৫২ মাইল পথ অতিক্রম করে । সম্পূর্ণ পথে গাড়ির গড় গতিবেগ কত? সঠিক উত্তর ১৭ গড় গতিবেগ = মোট দূরত্ব /মোট সময় = {(২৫×২) + ৫২}/২ + ৪ = ৫০ + ৫২/৬ = ১০২/৬ = ১৭