set MCQs
Showing 50 questions (Total: 160)
x=a, y=b এবং y=f(x) দ্বারা সীমাবদ্ধ ক্ষেত্রের ক্ষেত্রফল__
Correct Answer:
ঘ: ∫abf(x)dx
x2-2xy হতে কত বিয়োগ করলে সেটি একটি পূর্ণবর্গ হবে?
Correct Answer:
গ: -y2
when 117 chocolates are distributed anong x number of students you are left with (x-9) chocolates. which of the following could be the value of x?
Correct Answer:
B: 18
৫ এর গুণিতক সেট কোন ধরনের সেট?
Correct Answer:
ঘ: অসীম সেট
Explanation:
৫ এর গুণিতক সেট কোন ধরনের সেট? সঠিক উত্তর অসীম সেট ৫ এর গুনিতকসমূহ : ৫, ১০, ১৫, ২০, ২৫,..... অতএব, ৫ এর গুনিতকের সেট = {৫, ১০, ১৫, ২০, ২৫,...} সুতরাং এটি একটি অসীম সেট।
Dean of a business school distributed Tk. 100000 scholarships among 36 students giving 3000 to each male student and Tk. 2500 tk each female student . How many female students received scholarships?
Correct Answer:
C: 16
Explanation:
Dean of a business school distributed Tk. 100000 scholarships among 36 students giving 3000 to each male student and Tk. 2500 tk each female student . How many female students received scholarships? Correct Answer 16 "Hand out" —এর শুদ্ধ বাংলা পরিভাষা - জ্ঞাপনপত্র।
If f(x)=5-2x and f(3k)=f(k+1),then f(k) = ?
Correct Answer:
C: 4
In a class of 78 students 14 are taking French , 22 are taking German . Of the students taking French or German , 9 are taking both courses. How many students are not enrolled in either course?
Correct Answer:
C: 24
Explanation:
In a class of 78 students 14 are taking French , 22 are taking German . Of the students taking French or German , 9 are taking both courses. How many students are not enrolled in either course? Correct Answer 24 আমরা জানি, N(T) = N(A) + N(B) - N(A n B) + None None = N(T) - N (A) - N(B) + N( A n B) = 78 - 41 - 22 + 9 = 24
যদি A ও B যে কোন দুটি সেট হয়, তবে (A-B)∩B= কত?
Correct Answer:
ঘ: ∅
There are n students in a school. If r% among the students are 12 years or younger, which of the following expressions represents the number of students who are older than 12?
Correct Answer:
D: n(100-r)/100
In a student dormitory there was enough food to feed 300 students for 15 days. Because of admission of some new students, the food only lasted for 10 days. How many new students were admitted to the dormitory?
Correct Answer:
C: 150
Explanation:
In a student dormitory there was enough food to feed 300 students for 15 days. Because of admission of some new students, the food only lasted for 10 days. How many new students were admitted to the dormitory? Correct Answer 150 aggravate. Synonyms: exasperate, provoke, wound, heighten, intensify, irritate, make worse, increase, enhance embitter, magnify. Antonyms: soothe, conciliate, assuage, diminish, palliate, neutralize, soften, lessen, alleviate, attenuate, mitigate.
f(x) = x2+1x-1-1 হলে, নিচের কোনটি সঠিক?
Correct Answer:
ঘ: f (-1) = -12
If f(x)=5-2x and f(3k)=f(k+1),then f(k)= ?
Correct Answer:
C: 4
In a class of 78 students, 41 are taking, Fresh and 22 are taking German. Of the students taking French or German, 9 are taking both courses. how many students are not enrolled in either course?
Correct Answer:
C: 24
Explanation:
In a class of 78 students, 41 are taking, Fresh and 22 are taking German. Of the students taking French or German, 9 are taking both courses. how many students are not enrolled in either course? Correct Answer 24 ধরি, x সংখ্যক students কোনো কোর্সেই ভর্তি হয়নি। 78 = 41 + 22 - 9 + x 78 = 54 + x x = 78 - 54 x = 24
In a class 120 studets are mile and 100 students are female.25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the students passed the exam ?
Correct Answer:
D: 22%
Explanation:
In a class 120 studets are mile and 100 students are female.25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the students passed the exam ? Correct Answer 22% উইন্ডোজ অপারেটিং সিস্টেমের কম্পিউটারে কোনো ডকুমেন্ট দ্রুত প্রিন্ট দিতে Ctrl + P কমান্ড চাপতে হয়। এত একটি ডায়ালগ বক্স আসে যেখানে প্রয়োজন মতো বিভিন্ন অপশন নির্বাচন করে print বাটনে প্রেস করলে ডকুমেন্ট প্রিন্ট হয়। এছাড়া কোনো ডকুমেন্ট পেইজের ফাইল মেনু থেকেও ডকুমেন্টটি প্রিন্ট করা যায়।
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 of the two clubs?
Correct Answer:
B: 9
In a class of 78 students 41 are taking 22 are taking German of the students taking french or German, 9 are taking courses. how many student are not cancelled is either course?
Correct Answer:
C: 24
Explanation:
In a class of 78 students 41 are taking 22 are taking German of the students taking french or German, 9 are taking courses. how many student are not cancelled is either course? Correct Answer 24 টাকা নিয়ে ঝগড়া করো না। টাকা পাঁচ জনের মধ্যে ভাগ করে নাও। দুয়ের মধ্যে বোঝালে between আর দুয়ের অধিকের মধ্যে বোঝালে among বসবে। সুতরাং missing word টি হলো among. Share it among the five of you হলে বাক্যটি correct হতো।
If 5 students run a mile in 5 minutes, how much time will 50 students take to run a mile ?
Correct Answer:
B: 5 minutes
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.
If 5 students run a mile in 5 minutes , how much time will 50 students take to run a mile?
Correct Answer:
B: 5minuts
f(x) =x2-5x+6 এবং f(x)=0 হলে x=কত?
Correct Answer:
ক: ২,৩
12 students working for 5 hours a day can solve a certain number of problems in 8 days. How many students are needed to solve. Five times the original number of problems, if they work at 4 hours a day for 15 days?
Correct Answer:
D: 40
Explanation:
12 students working for 5 hours a day can solve a certain number of problems in 8 days. How many students are needed to solve. Five times the original number of problems, if they work at 4 hours a day for 15 days? Correct Answer 40 12 জন ছাত্র 5 ঘন্টা করে 8 দিনে করে = 12 ×5×8 = 480 এখন, ধরি , এই একই কাজ x জন 4 ঘণ্টায় 15 দিনে করে = x×4×15 = 60xATQ,60x = 480⇒60x = 480⇒x = 48060.'. x = 8 এখন, এই কাজ 5 গুণ করতে হয়, তাহলে লোক লাগবে = = 8×5 = 40
In a Class of 120 students numbered 1 to 120, all even numbered students opt for Physics , those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subject ?
Correct Answer:
B: 41
Explanation:
In a Class of 120 students numbered 1 to 120, all even numbered students opt for Physics , those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subject ? Correct Answer 41 Physics takes = 120/2 = 60Chemistry takes = 120/5 = 24Mathematics takes = 120/7 = 17Physics and chemistry = 120/10 = 12Physics andmathematics = 120/14 = 8Chemistry and mathematics = 120/35 = 3Physics, Chemistry and mathematics = 120/70 = 1So, Only physics and chemistry = 12 - 1 = 11Only physics and mathematics = 8 - 1 = 7Only Chemistry and mathematics = 3 - 1 = 2Now, Only physics = 60 - 11 - 7 = 41Only Chemistry = 24 - 11 - 2 - 1 = 10Only mathematics = 17 - 7 - 2 - 1 = 7Shortcut not taken none ofthe three = 120 - (41 + 10 + 7 + 11 + 7 + 2 + 1) = 12 - 79 = 41
Out of 120 students, 70% students passed in math and 80% students passed in English. If only 12 students failed in both subjects, how many students passed only in english?
Correct Answer:
C: 24
If f(x) = 10x, then f-1 (x) =?
Correct Answer:
C: logx
Explanation:
If f(x) = 10x, then f-1 (x) =? Correct Answer logx logx এর Inverse term - ই হলো 10x
যদি f(x) = x2 হয়, f(a + b) + f(a – b) এর মান কত?
Correct Answer:
গ: 2a2 +2 b2 
Explanation:
যদি f(x) = x2 হয়, f(a + b) + f(a – b) এর মান কত? সঠিক উত্তর 2a2 +2 b2  দেয়া আছে, f(x) = x2∴ f(a + b) = (a + b)2 = a2 + 2ab + b2f(a - b) = (a - b)2 = a2 - 2ab + b2f(a + b) + f(a - b) = a2 + 2ab + b2 + a2 - 2ab + b2 = 2a2 + 2b2
f(x) = x2 - 5x + 6 এবং f(x) = 0 হলে x = কত?
Correct Answer:
ক: 2, 3
Explanation:
f(x) = x2 - 5x + 6 এবং f(x) = 0 হলে x = কত? সঠিক উত্তর 2, 3 f(x) = x² - 5x + 6 এখন, f(x) = 0 ∴ x² - 5x + 6 = 0 = > x² - 3x - 2x + 6 = 0 = > x(x - 3) - 2 (x - 3) = 0 = > (x - 3) (x - 2) = 0 ∴ x = 2, 3
The ration of male student of female students ina class is 13 t0 19. If there are 224 people in the class, including one teacher. One administrator and thirty evaluations. How many people in the class are male students?
Correct Answer:
A: 78
Explanation:
The ration of male student of female students ina class is 13 t0 19. If there are 224 people in the class, including one teacher. One administrator and thirty evaluations. How many people in the class are male students? Correct Answer 78 দেওয়া আছে, মোট লোক সংখ্যা = 224 1 জন শিক্ষক, 1 জন প্রশাসক ও 30 জন মূল্যায়নকারী বাদ দিলে অবশিষ্ট লোক সংখ্যা = 224 - (1 + 1 + 30) = 224 - 32 = 192 জন এই 192 জনের মধ্যে ছাত্র : ছাত্রী = 13:19 .:. ছাত্র সংখ্যা = 1313×19×192 = 1332×192 = 78 জন
If f(x)=2x-1 and g(x)=x², what is the value of f(g(-3))?
Correct Answer:
D: 17
In a class if 4 student sit in each bench there are 3 empty benched , but 6 students have to stand if 3 studnet sit e3ach bench . How many students are there3 in that class?
Correct Answer:
B: 60
The inverse of f(x) =2x-1 is
Correct Answer:
B: (x+1)/2
A class had 30 students. The class needs to select 3 represntatives. In how many ways can this be done?
Correct Answer:
D: 4060
যে সকল স্বাভাবিক সংখ্যা দ্বারা ৩২৫ এবং ৫৫০ কে ভাগ করলে প্রতিক্ষেত্রে ২৫ অবশিষ্ট থাকে, তার সেট-
Correct Answer:
খ: {৭৫ }
A : B = 3: 4, B : C = 5 : 6 ও C : D = 2 : 3 হলে, A : D = কত?
Correct Answer:
C: 5 : 12
Explanation:
A : B = 3: 4, B : C = 5 : 6 ও C : D = 2 : 3 হলে, A : D = কত? Correct Answer 5 : 12 A : B = 3 : 4 = 15 : 20 [ 5 দ্বারা গুণ ] B : C = 5 : 6 = 20 : 24 [ 4 দ্বারা গুণ ] C : D = 2 : 3 = 24 : 36 [ 12 দ্বারা গুণ ] A : B : C : D = 15 : 20 : 24 : 36 A : D = 15 : 36 = 5 : 12
Rahim ranks seventh from the top and twenty-sixth from the bottom in class . How many students are there in the class ?
Correct Answer:
A: 32
Explanation:
Rahim ranks seventh from the top and twenty-sixth from the bottom in class . How many students are there in the class ? Correct Answer 32 7 + 26 - 1 = 32 [ Rahim is counted twice , once in 7th again in 26 th]
Among the 120 students of a class, numbered 1 to 120, all even numbered students opt for Bangla, whose numbers are divisible by 5 opt for English and those numbers are divisible by 7 opt for Math. How many opt for none of these three subjects?
Correct Answer:
A: 19
Explanation:
Among the 120 students of a class, numbered 1 to 120, all even numbered students opt for Bangla, whose numbers are divisible by 5 opt for English and those numbers are divisible by 7 opt for Math. How many opt for none of these three subjects? Correct Answer 19 Here, Number of even numbered students, n(B) = 120/2 = 60 Number of numbers divisible by 5, n(E) = 120/5 = 24 Number of numbers divisible by 7, n(M) = 120/7 ≈17 Number of even numbers divisible by 5, n(BꓵE) = 24/2 = 12 Number of numbers divisible by both 5 & 7, n(EꓵM) = 3 Number of even numbers divisible by 7, n(BꓵM) = 17/2 ≈ 8 Number of even numbers divisible by both 5 & 7, n(BꓵEꓵM) = 1 Number of students opting for atleast one of the subjects = n(BUEUM) n(BUEUM) = n(B) + n(E) + n(M) - n(BꓵE) - n(EꓵM) - n(BꓵM) + n(BꓵEꓵM) = 60 + 24 + 17 - 12 - 3 - 8 + 1 = 79 Students opting for none of the subjects, n(BUEUM)' = 120 - n(BUEUM) = 120 - 79 = 41.
A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 3 classes were half full, 5 class were 3/4 full and 2 classes were 1/6 empty. A total of 74 students were absent. What is the total number of students in this school?
Correct Answer:
C: 240
Explanation:
A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 3 classes were half full, 5 class were 3/4 full and 2 classes were 1/6 empty. A total of 74 students were absent. What is the total number of students in this school? Correct Answer 240 Let x = number of students in each class. Then total number of students in school. is = 10x If 3 classes are half full then we have 3x/2 students absent. If 5 classes are 3/4 full that means that (1/4)*5x students are absent. If 2 classes are 1/6 empty that means that (1/6)*2x students are absent. Now we are told that (3x/2) + (1/4)*5x + (1/6)*2x = 74 or,(3x/2) + (5x/4) + (x/3) = 74 or,18x + 15x + 4x = 888 or,7x = 280 x = 24 number of students in each class is 24 number of student in this school = 10x = 10*24 = 240 ans: 240
Of the 50 students in a college , 32 are enrolled in psychology class and 37 are enrolled in logic. If 6 of the students did not enroll in either class, how many of the students are in only one of these two classes?
Correct Answer:
A: 21
Explanation:
Of the 50 students in a college , 32 are enrolled in psychology class and 37 are enrolled in logic. If 6 of the students did not enroll in either class, how many of the students are in only one of these two classes? Correct Answer 21 Students who enrolled in atleast one of the classes = 50 - 6 = 44 Students who enrolled in both of the classes = 32 + 37 - 44 = 25 Students who enrolled only in psychology = 32 - 25 = 7 Students who enrolled only in logic = 37 - 25 = 12 Total number of students who enrolled only in one class = 7 + 12 = 19
An instrument store gives a 10% discount to all students off the original cost of an instrument. During a school sale, an additional 15% is taken off the discounted price. Rahim, a student at the local high school, purchases a flute for Tk. 306. What was its original cost before discount?
Correct Answer:
A: Tk. 400
There are tow examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same . If 20 candidates are sent from B to A, then the number of students in a is double the number of students in B. what is the number of students in room A?
Correct Answer:
C: 100
Explanation:
There are tow examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same . If 20 candidates are sent from B to A, then the number of students in a is double the number of students in B. what is the number of students in room A? Correct Answer 100 Let, the no of students in room A and B be x and y Then, x - 10 = y + 10 and, x + 20 = 2 ( y - 20) Solving, x = 100, y = 80
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 5 students remaining in the class, how many students were originally in the class?
Correct Answer:
D: 32
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 5 students remaining in the class, how many students were originally in the class? Correct Answer 32 ধরি, Class এ মোট 4x student ছিল। প্রথমবার 12 চলে যাবার পর থাকে 2x, দ্বিতীয়বার থাকে x.x = 8; ∴4x = 4×8 = 32
A class of 20 students borrowed library books for their research projected. Some of the students borrowed 3 books each, and the rest borrowed 2 books each. If a total of 52 books were borrowed, how many of the students borrowed, how many of the students borrowed 3 books each?
Correct Answer:
D: 12
There are 50 students enrolled is business finance. Of the enrolled students, 90% took the final exam. Two thirds of the students who took the final exam passed it. How many students passed the final exam?
Correct Answer:
A: 30
Explanation:
There are 50 students enrolled is business finance. Of the enrolled students, 90% took the final exam. Two thirds of the students who took the final exam passed it. How many students passed the final exam? Correct Answer 30 Enrolled = 50 StudentsTaken the final exam = 50×90100 = 45Final Exam Passed = 45×23 = 30so, 30 students passed the final exam. (Ans.)
If 5 student run a mile in 5 minutes, how much time will 50 students take to run a mile?
Correct Answer:
A: 0.1 minute
Explanation:
If 5 student run a mile in 5 minutes, how much time will 50 students take to run a mile? Correct Answer 0.1 minute every student is single.. so 50 student take 5 minutes
Each boy contributed money equal to the number of girls and each girl contributed money equal to the number of boys in a class of 60 students. If the total contribution thus collected is Tk. 1,600, how many boys are there in the class?
Correct Answer:
A: 30
Explanation:
Each boy contributed money equal to the number of girls and each girl contributed money equal to the number of boys in a class of 60 students. If the total contribution thus collected is Tk. 1,600, how many boys are there in the class? Correct Answer 30 Hints: ছেলেদের সংখ্যা x এবং মেয়েদের সংখ্যা y হলে x + y = 60................ (1) এবং, xy + xy = 2xy = 1600 xy = 800 তাহলে, x - y = √(x + y)2 - 4xy = √(60)2 - 4 × 800 x - y = 20............. (2) (1) and (2) no equation 2x = 60 + 20 2x = 80 x = 40
A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 3 classes were half full. 5 classes were 3/4 full and 2 classes were 1/6 empty. A total of 74 students were absent. What is the total number of students in this school?
Correct Answer:
C: 240
Explanation:
A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 3 classes were half full. 5 classes were 3/4 full and 2 classes were 1/6 empty. A total of 74 students were absent. What is the total number of students in this school? Correct Answer 240 Hints: 3x/2 + 5×(x/4) + 2×(x/6) = 74 বা, 3x/2 + 5x/4 + x/3 = 74 বা, (18x + 15x + 4x)/12 = 74 বা, 37x = 888 x = 24 তাহলে, school এর student = 24×10 = 240
70 students are enrolled in Management, Accounting and Marketing. 40 students are in Management, 35 are in Accounting, and 30 are in Marketing. 15 students are enrolled in all three courses. How many of the students are enrolled in exactly two of the courses?
Correct Answer:
B: 5
Explanation:
70 students are enrolled in Management, Accounting and Marketing. 40 students are in Management, 35 are in Accounting, and 30 are in Marketing. 15 students are enrolled in all three courses. How many of the students are enrolled in exactly two of the courses? Correct Answer 5 শুধু Accounting - এর ছাত্র (40 – 15) = 25 জন। শুধু Management , , (35 - 15) = 20 ,, Marketing (30 – 15) = 15 ,, তিনটি কোর্সই রয়েছে 15 জন ছাত্র Accounting, Management & Marketing - এর মােট ছাত্র সংখ্যা (25 + 20 + 15 + 15) = 75 জন। শুধুমাত্র দুটি subject - নেয় (75 – 70) = 5 জন।
f(x)=x3-6x2+11x-6 হলে, f(x)= কত?
Correct Answer:
Correct Answer:
f(x) = x 3 +k x 2 -6x-9, kএর মান কত হলে f(3) =0 হবে?
Correct Answer:
Correct Answer:
Explanation:
f(x) = x 3 +k x 2 -6x-9, kএর মান কত হলে f(3) =0 হবে? সঠিক উত্তর দেওয়া আছে, f( x) = x3 + kx2 - 6x - 9 f(3) = 0 হলে 33 + k (3)2 - 6. 3 - 9 = 0 27 + 9k - 27 = 0 k = 0
c={x:x ঋণাত্মক পূর্ণসংখ্যা এবং x2
Correct Answer:
ঘ: {−1,−2,−3,−4}
Explanation:
c={x:x ঋণাত্মক পূর্ণসংখ্যা এবং x2 সঠিক উত্তর {−1,−2,−3,−4} −1,−2,−3,−4]এখানে, (−1)2
যেসব স্বাভাবিক সংখ্যার সেট 10 - এর ছোট সেসব সংখ্যার সেটের প্রতীক কোনটি?
Correct Answer:
খ: A = {x∈N :x <10}
Explanation:
যেসব স্বাভাবিক সংখ্যার সেট 10 - এর ছোট সেসব সংখ্যার সেটের প্রতীক কোনটি? সঠিক উত্তর A = {x∈N :x <10} প্রদত্ত অনুপাতগুলোর পূর্ব রাশি ৫, ৭, ৩ এর গুণফল = ৫ × ৭ × ৩ = ১০৫ প্রদত্ত অনুপাতগুলোর উত্তর রাশি ১৮, ২, ৬ এর গুণফল = ২১৬ ∴ নির্ণেয় মিশ্র অনুপাত = ১০৫ : ২১৬
A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. What is the total number of students in this school?
Correct Answer:
A: 200
Explanation:
A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. What is the total number of students in this school? Correct Answer 200 Circumference of the circular path = 2/\50 = 100 /\ m This means 100 /\ m is the distance covered in 60 minutes Therefore distance covered in 15 minutes = 1/4 x 100 /\ m = 25/\ m Now distance covered in one revolution of the wheel = 2 /\(1/2) m = /\ m Therefore number of revolutions in 15 minutes = 25/\ //\ = 25 Read more on Brainly.in - https://brainly.in/question/8996103#readmore