Explanation:

একটি ক্লাসে ৩০ জন ছাত্র আছে তাদের মধ্যে ১৮ জন ফুটবল খেলে এবং ১৪ জন ক্রিকেট খেলে এবং ৫ জন কিছুই খেলে না। কত জন উভয়টিই খেলে? সঠিক উত্তর ৭ শুধু ফুটবল বা শুধু ক্রিকেট অথবা উভয়টিই খেলে = (৩০ - ৫) = ২৫ জন। ফুটবল খেলে ১৮ জন ∴ শুধু ফুটবল খেলে = (২৫ - ১৮) = ৭ জন কিন্তু মোট ক্রিকেট খেলে ১৪ জনে শুধু ক্রিকেট খেলে = (২৫ - ১৪) জন = ১১ জন । ∴ ফুটবল ও ক্রিকেট উভয়টিই খেলে = (২৫ - ৭ - ১১) জন = ৭ জন।

Explanation:

According to a survey of business firms in a certain city, 750 firms offer their employees health insurance , 640 offer dental insurance and 280 offer health insurance and dental insurance. How many firms offer their employees health insurance or dental Correct Answer 1,110 Health insurance = 750 firms Dental insurance = 640 firms Both Health and Dental insurance = 280 firms Either Health insurance or Dental Insurance = (750 + 640 - 280) = 1110 firms

Explanation:

In a group of 15 , 7 have studied Latin , 8 have studied Greek, and 3 have not studied either . How many of these studied both Latin and Greek ? Correct Answer 3 ( 7 - x) + x + ( 8 - x) + 3 = 15 18 - x = 15 x = 18 - 15 x = 3

Explanation:

In a class of 50 students , 18 take music, 26 take art , and 2 take both art and music . How many students in the class are not enrolled in either music or art ? Correct Answer 8 Total - None = M + A - M∩A⇒ 50-None = 18 + 26 - 2⇒ None = 50 - 42 ∴ None = 8

Explanation:

In how many ways a team of 11 members can be formed from a group of 15 students if a students who is the owner of the ball is always considered a member of the team? Correct Answer 1001 One member will always be considered. Therefore, (11 - 1 = 10) more members need to be chosen from (15 - 1 = 14) remaining members. So, the total ways will be 14C10 = 1001.

Explanation:

At the beginning of a class period, half of the students in a class go to the library. Later in the period, half of the remaining students go to the computer lab. If there are 8 students remaining in the class, how many students were originally in the cla Correct Answer 32 Let the total number of students be x. Number of students going to library = x/2 Number of students going to computer lab = 1/2 of the remaining x/2 = x/4 Therefore, x - (x/2 + x/4) = 8 or, x - 3x/4 = 8 or, x/4 = 8 So, x = 32.

Explanation:

2x+3y=36 এবং 2x+y=16 হলে এর সমাধান সেট (x,y)-এর মান কত- সঠিক উত্তর (3,10) 2x + 3y = 36...............(1)2x + y = 16.................(2)(2) নং সমীকরণ হতে পাই, 2x = 16 - y..........(3)2x এর মান (1) নং এ বসাই, 16 - y + 3y = 36বা, 2y = 36 - 16বা,y = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>2</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> y = 10y এর মান (3) নং - এ বসিয়ে পাই, 2x = 16 - 10বা, x = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>6</mn><mn>2</mn></mfrac></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> x = 3<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> নির্ণেয় সমাধান সেট (x,y) = (3,10)

Explanation:

F(x)=(x-1)2 হলে, F(5) = কত? Correct Answer ১৬ F(x) = (x - 1)^2 F(5) = (5 - 1)^2 .... = 4^2 = 16 Answer :16

Explanation:

(x-2) (x-3)<0 এর সমাধান সেট কত? সঠিক উত্তর 2 < x < 3 (X - 2)(X - 3) < 0 The roots are: 2 and 3 Since the in - equation is less than 0; (i.e. Negative) So, 2<X<3 (Ans.)

Explanation:

3x + 4y =14, 4x - 3y =2 এর সমাধান সেট কত হবে? সঠিক উত্তর (2, 2) 3x + 4y = 14. (i) 4x - 3y = 2. (ii) (i) নং সমীকরণকে 3 দ্বারা এবং(ii) নং সমীকরণকে 4 দ্বারা গুণ করে যোগ করে পাই 9x + 12y = 42 বা , 16x – 12y = 8 বা , 25x = 50 বা ,x = = 2 ∴ x = 2 (i) সমীকরণে বসিয়ে পাই; 32 + 4y = 14 বা,6 + 4y = 14 বা,4y = 14 - 6 বা,y = 8/4 = 2 ∴ y = 2 নির্ণেয় সমাধান সেট = (2,2)

Explanation:

3x-4y =10 এবং 6x-8y=18 এর সমাধান সেট কত? সঠিক উত্তর কোনোটিই নয় দেওয়া আছে, 3x - 4y = 10......(i) 6x - 8y = 18......(ii) সমীকরণ (ii) থেকে পাই, 2(3x - 4y) = 18 = > 3x - 4y = 9 কিন্তু দেয়া আছে, 3x - 4y = 10 সুতরাং, কোন মান নির্ণয় অসম্ভব

Explanation:

যদি A এবং B দুইটি সেট হয় তবে A n(A U B) = A u(AnB) = কত? সঠিক উত্তর A A ∩ (A U B) এ A  ও (A U B) এর মাঝে কমন হচ্ছে A ∴ ∴  A ∩ (AUB) = A এবং A U (A ∩ B) = A U { ∅ } = A    সুতরাং   A ∩ (A U B) = A U (A ∩ B) = A

Explanation:

(x-2)(x-3)<0 এর সমাধান সেট কত? সঠিক উত্তর 2 (x - 2)(x - 3)<0 হয়,x - 2 = 0     অথবা, x - 3 = 0   বা,x = 2              বা,x = 3  এখন, ছোট মান<x<বড় মান      সুতরাং, 2<x<3

Explanation:

স্বাভাবিক সংখ্যা সেটের ক্ষুদ্রতম সদস্য কোনটি? সঠিক উত্তর 1 ১, ২, ৩, ৪, ৫, ৬, ৭,...........................সংখ্যাসমূহকে স্বাভাবিক সংখ্যা বলা হয়। ক্ষুদ্রতম স্বাভাবিক সংখ্যা হচ্ছে ১।

Explanation:

Govt. Laboratory High School has 10 members in its chess team and 14 members in its science club. Five students at the school belong to both the chess team and the science club. How many students belong to only the chess team? Correct Answer 5 Let, n ( C) = 10 n( S) = 10 n (C n S) = 5 Students belong to only chess team = n(C) - n ( Cn S) = 10 - 5 = 5

Explanation:

There are 900 students in a school. 4% of them left the school and 50% of the remaining are girls. How many girls remained in the school? Correct Answer 432 900 × 4/100 = 36 Remaining = 900 - 36 = 864 Girls = 864 / 2 = 432

Explanation:

In a class of 30 students 18 play football, 14 play cricket and 5 do not play any game. How many students play both the games? Correct Answer 7 30 - 5 = 25 18 + 14 = 32 32 - 25 = 7

Explanation:

যেসব স্বাভাবিক সংখ্যা দ্বারা 346 এবং556 কে ভাগ করলে প্রতি ক্ষেত্রে 31 অবশিষ্ট থাকে। তাদের সেট নির্ণয় করুন। সঠিক উত্তর {35, 105} প্রতিক্ষেত্রে 31 অবশিষ্ট থাকায় সংখ্যাটি 31 অপেক্ষা বড় এবং ( 346 - 31) = 315 ও ( 556 - 31) = 525 এর সাধারন গুণনীয়ক। 31 অপেক্ষা বড় 315 এবং 525 এর গুণনীয়ক সেট যথাক্রমে A এবং B হলে - A = { 35, 45, 63, 105, 315 } B = { 35, 75, 105, 175, 525 } অতএব, নির্ণেয় সেট = A n B = { 35, 105 }

Explanation:

স্বাভাবিক সংখ্যার সেটের ক্ষুদ্রতম সদস্য হলো- সঠিক উত্তর ১ 1 থেকে শুরু করে বড় সকল সংখ্যাকে(1 সহ) স্বাভাবিক সংখ্যার সেট বলে।

Explanation:

৪ এর গুণনীয়ক সেট কোনটি? সঠিক উত্তর {1, 2, 4, 8} 8 × 1 = 8  4  × 2 = 8  8 এর গুণনীয়ক সেট = { 1,  2, 4, 8 }

Explanation:

120 students in a class play cricket or football or both. If 75 students play cricket and 60 students play football, how many play both? Correct Answer 15 120 জন ছাত্রের সবাই ত্রিকেট, ফুটবল অথবা উভয়টি খেলে । যদি 75 জন ক্রিকেট এবং 60 জন ফুটবল খেলে, তাহলে কতজন উভয়টি খেলে ? শুধু ক্রিকেট খেলে = 75 জন এবং ফুটবল খেলে = 60 জন ক্রিকেট ও ফুটবল খেলে = 75 + 60 = 135 জন মোট ছাত্র 120 জন হলে তাদের মধ্যে উভয়টি খেলে = 135 - 120 = 15 জন ।

Explanation:

কোনো সেটের যতগুলো উপসেট হয় তাদের সেটকে উক্ত সেটের কি বলা হয়? সঠিক উত্তর পাওয়ার সেট শক্তি সেট : কোন সেটের উপসেটসমূহের সেটকে ঐ সেটের শক্তি সেট (Power set) বলে । কোন সেট A এর পাওয়ার সেটকে P(A) দ্বারা প্রকাশ করা হয় । সংযোগ সেট : দুটি সেট A এবং B এর সকল উপাদান নিয়ে (কোন উপাদানের পুনরাবৃত্তি না করে) গঠিত সেটকে A এবং B এর সংযোগ সেট বলা হয় । যা A⋃B প্রতীকের মাধ্যমে প্রকাশ করা হয় । অর্থাৎ, A⋃B = {x ∣ x ∈ অথবা  x ∈ b} ছেদ সেট : দুটি সেট A এবং B এর সকল সাধারণ (Common) উপাদান নিয়ে গঠিত সেটকে A এবং B এর ছেদ সেট বলা হয় । যা A⋂B লিখে প্রকাশ করা হয় । অর্থাৎ A⋂B = {x ∣ x ∈ A এবং x ∈ B}

Explanation:

একটি সেটের উপাদান সংখ্যা 4 হলে তার পাওয়ার সেটের উপাদান সংখ্যা কত হবে? সঠিক উত্তর 16 কোন সেটের উপাদানসংখ্যা n হলে তার শক্তি সেটের উপাদানসংখ্যা ২n. সুতরাং, কোন সেটের উপাদানসংখ্যা ৪ হলে তার শক্তি সেটের উপাদানসংখ্যা = ২৪ = ১৬

Explanation:

Half of the students of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school? Correct Answer 900 Fraction of students playing football = 1/2 Fraction of students playing cricket = 1/3 x 1/2 = 1/6 Fraction of students not playing either of the games = 1 - (1/2 + 1/6) = 1/3 If 1/3 of total students = 300 Then, number of total students = 300 x 3/1 = 900.

Explanation:

One-fourth of the students of a school play cricket and two-third of the rest play football. The remaining 400 students do not play either of the games. How many students are there in the school? Correct Answer 1600 Fraction of students playing cricket = 1/4 Fraction of students playing football = 2/3 of (1 - 1/4) = 2/3 x 3/4 = 2/4 = 1/2 Fraction of remaining students = 1 - (1/4 + 1/2) = 1 - (1 + 2)/4 = 1 - 3/4 = 1/4 ATQ,  1/4 of the students = 400 So, total number of students = 400 x 4 = 1600.

Explanation:

48 সংখ্যাটি যে সংখ্যার 60% সেটি হলো- সঠিক উত্তর 80 ধরি, সংখ্যাটি x প্রশ্নমতে, 48 = x এর 60% বা, 48 = 3x/5 বা, x = (5*48)/3 ∴ x = 80 ans: 80

Explanation:

All 120 students in a class play cricket or football or both, 75 play cricket and 60 play football. Correct Answer 15 শুধু ক্রিকেট খেলে = 75 জন  এবং ফুটবল খেলে = 60 জন  ক্রিকেট ও ফুটবল খেলে = 75 + 60 = 135 জন  মোট ছাত্র 120 জন হলে তাদের মধ্যে উভয়টি খেলে = 135 - 120 = 15 জন ।

Explanation:

How many students can sit in a room with n single chairs and b doubleseated benches? Correct Answer 2b + n        In 1 single chair seated 1 student So, in n single chair seated  = 1 × n= n studentsAgain,       In 1 bench, seated 2 studentsSo, in b bench seated = 2 × b = 2b students So Total number of Student can be seated in this classroom is = 2b + n Ans: 2b+n

Explanation:

In a group of 15 high school students, 7 study Latin, 8 study French and 3 study neither Latin nor French. How many students study both Latin and French? Correct Answer 3 The number of students studying Latin or French n(LUF) = 15 - 3 = 12 Now,  n(LUF) = n(L) + n(F) - n(LꓵF) or,   n(LꓵF) = n(L) + n(F) - n(LUF) = 7 + 8 - 12 = 3

Explanation:

If 5 students run a mile in 5 minutes , how much time will 50 students take to run a mile ? Correct Answer 5 minutes 5 students take 5 minutes to run a mile.50 students also take same time to run a mile.

Explanation:

In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science? Correct Answer 27 Students opted for Math or Science, n(M U S)  = 50 - 2 = 48 Students opted for Math, n(M)  = 50 - 15 = 35 Students opted for Science, n(S)  = 50 - 10 = 40 Students opted for both Math and Science n(M ∩ S)  =  n(M) + n(S) - n(A U B)  = 35 + 40 - 48 = 27

Explanation:

If 10 students scored 61, how many students scored 62 or more marks? Correct Answer 25 There is given a table of Mark distribution 35-48, 49-60, 61-75, 76-88, 89-100No. Of students: 11, 25, 21, 9, 5Solution : Given that 10 students score 61, then rest (21-10)=11 students scores range 62 to 75.Though 76 to 100 are more than 62, so we took the number of rest students. So, total number of students who score 62 or more is (11+9+5)=25.Our answer is 25.

Explanation:

Students of a class stand in a queue. If Rajib is 19th in order from both ends, how many students are there in the queue? Correct Answer 37 Number of students in the queue = 19 + 19 - 1 = 37 [1 is sutracted so that he is not counted twice]

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 five students run a mile in 5 minutes, then how much time will 50 students take to run a mile? Correct Answer 5 min Here, all of the students run together. So, each of them will take same time i.e. 5 minute to run a mile. Therefore, even if there are 50 students running together, they will take the same time i.e. 5 minutes to run a mile.

Explanation:

In an examination 75% of the students passed in mathematics, 45% passed in general science and 30% passed in both subject. What per cent of the students have failed in both subject? Correct Answer 10 Percentage of pass in total = Percentage of pass in Bangla + Percentage of pass in English - Percentage of pass in both = 75 + 45 - 30 = 90 So, percentage of fail = 100 - 90 = 10

Explanation:

One day at a school, one -twelfth of the students were absent and 20% of those present went on a field trip. If the number of students staying back in the school that day was 660, how many students are enrolled at that school ? Correct Answer 900 Student staying at the school is (100 - 20 = 80%) of the present students. 80% of the present students = 660 So, 100% or total present students = 660 x 100 / 80 = 825 But, present students = (1 - 1/12 = 11/12) of all enrolled students Now, 11/12 of enrolled students = 825 So,  all enrolled students = 825 x 12 / 11 = 900

Explanation:

One day at a school , one-twelfth of the students were absent and 20% of those present went on a field trip. If the number of students staying back at school that day was 704 , how many students are enrolled in that school ? Correct Answer 960 Let the number of students enrolled at PQR school be x x/12 students were absent So, 11x/12 students were present number of students went on a field trip = 11x/12 * 1/5 = 11x/60 Number of students who were absent or went on a field trip = x/12 + 11x/60 = 16x/60 = 4x/15 Number of students staying in the school = x - 4x/15 = 11x/15 ATQ, 11x/15 = 704 ∴x = 960 ans: 960

Explanation:

In a group of 15 high school students, 7 study Latin, 8 study French, and 3 study neither Latin nor French. How many students study both Latin and French? Correct Answer 3 Number of students studying atleast one language = 15 - 3 = 12 Number of students studying both language = 7 + 8 - 12 = 3

Explanation:

There are 92 girls in the anthropology class . This is 40% of all the students. What is the total number of students? Correct Answer 230 40% of the students = 92 So,  all or 100% of the students = 92 x 100 / 40 = 230

Explanation:

Half of the student of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school? Correct Answer 900 Fraction of students playing Football = 1/2 Fraction of students playing Cricket = 1/3 of the remaining 1/2 = 1/6 Now, fraction of the students not playing either of the games = 1 - (1/2 + 1/6) = 1 - (3 + 1)/6 = 1/3 According to the question, 1/3 of the students = 300 So, the number of total students = 300 x 3 = 900.

Explanation:

A group of students decided to collect as many paisa from each from each member of a group as is th number of members. If the total collection amounts to Tk 59.29 , what is the m=number of members in the group? Correct Answer 77 Money collected = ( 59.29 ×100) paisa = 5929 paisa No of numbers = root(5929) = 77

Explanation:

There ar 200 students in a class. 76% passed in Bangla and 54% passed in English . If 10% of the students failed in both the subjects then how many of them passed in both subjects ? Correct Answer 80 Passed in Bangla = 76% of 200 = 152 Passed in English = 54% of 200 = 108 Failed in both subjects = 10% of 200 = 20 Passed in atleast one subject = 200 - 20 = 180 Passed in both subjects = 152 + 108 - 180 = 80

Explanation:

f(x) = -1, for all x>0. If f(a) = -1 and f(ab) = -1 then b = ? Correct Answer 1 f(a)=-1f(ab)=-1then, ab=-1×1so f(b)=1

Explanation:

There are 900 students in a school . 4% of them left the school and 50% of the remaining are girls. How many girls remained? Correct Answer 432 900 জন এর 4% = 900 x .04 = 36 36জন চলে যাওয়ায় বাকি থাকে = 900 - 36 = 864 এবং বাকি 864এর 50% girls = 864 x .50 = 432

Explanation:

If 5 students run a mile in 5 minutes, how much time will 50 students take to run a mile? Correct Answer 5 minutes 5 students take 5 minutes to run a mile.50 students also take same time to run a mile.

Explanation:

A hostel spends Tk. 3200 as cost of rice 20 students for 30 days. If they spend Tk. 2400 for 30 students, for how many days will the rice last? Correct Answer 15 days ৩২০০ টাকায় ২০ জন ছাত্রের খাবার আছে = ৩০ দিনের৩২০০ টাকায় ১ জন ছাত্রের খাবার আছে  = ৩০*২০ দিনের৩২০০ টাকায় ৩০ জন ছাত্রের খাবার আছে  = 30×2030 দিনের২৪০০ টাকায় ৩০ জন ছাত্রের খাবার আছে = 30×20×240030×3200দিনের                                                                     = ১৫ দিনের (উত্তর)

Explanation:

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are : Correct Answer 42, 33 Another students got = 100% - 56% = 44% of their total marks Difference = 56% - 44% = 12% 12% of the sum = 9 marks So, 100% of the sum = 9×100/12 = 75 marks So, one students got = 56% of 75 = 56/100×75 = 42 marks Then the other student got = 75 - 42 = 33 marks

Explanation:

Of the 32 students in a certain class , 15 are in debating club and 20 are in music club. If 10 of the students are not in either club, how many of the students are in only one of the two clubs ? Correct Answer 9 Out of 3210 are not in either of the clubsThus22 = 15 + 20 -bothBoth = 13Thereforeonly music = 15-13 = 2only Dance = 20 - 13 = 7Hence 7 + 2 =9