mathematics MCQs
Showing 50 questions (Total: 16798)
There are 48 books on 3 shelves. If 3 books from third shelf are shifted to the second there will be same number of books on first and third shelves and double the number of books on shelf . How many books were there on three shelves originally?
Correct Answer:
B: 12, 21,15
Explanation:
There are 48 books on 3 shelves. If 3 books from third shelf are shifted to the second there will be same number of books on first and third shelves and double the number of books on shelf . How many books were there on three shelves originally? Correct Answer 12, 21,15 একটি বাল্বে " 60 W - 220 V" লেখা আছে। বাল্বটির রোধ 806.67 ওহম ( Ohm) l
১০ টি সংখ্যার যোগফল ৪৬২ । এদের প্রথম ৪ টির গড় ৫২ এবং শেষের ৫টির গড় ৩৮ পঞ্চম সংখ্যাটি কত?
Correct Answer:
খ: ৬৪
Anik travels 35 kilometers (km) partly at 4km /h and partly at 5 km/h. If he covers the distance at 5 km/h he could cover 2 km more in the same time. The time taken to cover the whole distance at original rate is -
Correct Answer:
C: 7hr 24 min
Explanation:
Anik travels 35 kilometers (km) partly at 4km /h and partly at 5 km/h. If he covers the distance at 5 km/h he could cover 2 km more in the same time. The time taken to cover the whole distance at original rate is - Correct Answer 7hr 24 min Austria, officially the Republic of Austria, is a landlocked East Alpine country in the southern part of Central Europe. It is composed of nine federated states, one of which is Vienna, Austria's capital and its largest city.
৯৭২ কে কোন ক্ষুদ্রতম সংখ্যা দ্বারা ভাগ করলে বাগফল পূর্ণবর্গ সংখ্যা হবে?
Correct Answer:
ঘ: ১২
৬৪ কিলোগ্রামের বালি ও পাথর টুকরার মিশ্রসে পরিমাণ ৪০% হবে?
Correct Answer:
ঘ: ৫৬ কিলোগ্রাম
Explanation:
৬৪ কিলোগ্রামের বালি ও পাথর টুকরার মিশ্রসে পরিমাণ ৪০% হবে? সঠিক উত্তর ৫৬ কিলোগ্রাম মিশ্রনে বালির পরিমান = ৬৪×২৫% = ১৬ কেজি মিশ্রনে পাথরের পরিমান = (৬৪ - ১৬) = ৪৮ কেজি নতুন মিশ্রনের ৪০% = ৪৮ কেজি নতুন মিশ্রনের ১০০% = ৪৮× ১০০/৪০ = ১২০ কেজি ∴ নতুন মিশ্রনে বালির পরিমান = (১২০ - ৪৮) = ৭২কেজি ∴ বালি মেশাতে হবে = (৭২ - ১৬) = ৫৬ কেজি ( উত্তর)
পরপর তিনটি সংখ্যা গুনফল ২১০ হলে তাদের যোগফল কত?
Correct Answer:
খ: ১৮
Explanation:
পরপর তিনটি সংখ্যা গুনফল ২১০ হলে তাদের যোগফল কত? সঠিক উত্তর ১৮ মনে করি একটি সংখ্যা x সুতরাং পরবর্তী সংখ্যা দুটি (x + 1) ও (x + 2) শর্তমতে, x(x + 1)(x + 2) = 120 বা, (x² + x)(x + 2) = 120 বা, x(x² + x) + 2(x² + x) বা, x³ + x² + 2x² + 2x = 120 বা, x³ + 3x² + 2x = 120 বা, x = 4 সুতরাং প্রথম সংখ্যাটি 4 পরবর্তী সংখ্যা দুটি 4 + 1 = 5 এবং 4 + 2 = 5 এখন, সংখ্যাত্রয়ের যােগফল 4 + 5 + 6 = 15
Last year Jaman bought two lamps. This year he sold them for BDT 2000 each . On one lamp, he made 25% profit and on the other lamp he had 25% profit and on the other lamp he had 25% loss, 'What was his net loss or profit? -
Correct Answer:
D: None
Explanation:
Last year Jaman bought two lamps. This year he sold them for BDT 2000 each . On one lamp, he made 25% profit and on the other lamp he had 25% profit and on the other lamp he had 25% loss, 'What was his net loss or profit? - Correct Answer None কার্বোহাইড্রেট C, H এবং O - এর অনুপাত - 1:2:1
In a college Rahim scored 80 marks out of 150 in History and 95 marks out of 120 in English . If he wants to score 70% marks in 3 subjects, find the minimum marks she should score in Geography out of 100.
Correct Answer:
D: None of these
Explanation:
In a college Rahim scored 80 marks out of 150 in History and 95 marks out of 120 in English . If he wants to score 70% marks in 3 subjects, find the minimum marks she should score in Geography out of 100. Correct Answer None of these Total marks = 150 + 120 + 100 = 370 Marks obtained in two subjects = 80 + 95 = 175 Total marks to be obtained = 370x70% = 259 Marks needed in Geography = 259 - 175 = 84
If x = 1 +2 and y=1 -2, find the value of (x2+y2) .
Correct Answer:
B: 6
Explanation:
If x = 1 +2 and y=1 -2, find the value of (x2+y2) . Correct Answer 6 X = 1 + √2 X^2 = 1 + 2√2 + 2 = 3 + 2√2 Y = 1 - √2 Y^2 = 1 - 2√2 + 2 = 3 - 2√2 Now, X^2 + Y^2 = 3 + 2√2 + 3 - 2√2 = 6
If logx32=5, the value of x is -
Correct Answer:
B: 2
Explanation:
If logx32=5, the value of x is - Correct Answer 2 logx^(32) = 5 Or, x^5 = 32 Or, x^5 = 2^5 So, x = 2
x can do a piece of work in 20 days and Y can do the 1/7th of the same work in 5 days. In how many days together they can complete the 11/14th of the total work?
Correct Answer:
C: 10 days
Explanation:
x can do a piece of work in 20 days and Y can do the 1/7th of the same work in 5 days. In how many days together they can complete the 11/14th of the total work? Correct Answer 10 days y can do in 1 day = 1/(7x5) = 1/35 x & y can do in 1 day = 1/20 + 1/35 = 11/140 Now, 11/140 work is done in 1 day So, 1 work is done in 140/11 day So, 11/14 work is done in (140x11)/(11x14) = 10 days
Arafat has TK. 420. He purchased fifty mangoes and thirty oranges with the whole amount. He then chose to return six mangoes for nine oranges as both quantities are equally priced What is the price of each Mango in Tk?
Correct Answer:
D: 6.00
Explanation:
Arafat has TK. 420. He purchased fifty mangoes and thirty oranges with the whole amount. He then chose to return six mangoes for nine oranges as both quantities are equally priced What is the price of each Mango in Tk? Correct Answer 6.00 Renewable energy is energy that is collected from renewable resources, which are naturally replenished on a human timescale, such as sunlight, wind, rain, tides, waves, and geothermal heat.
The circumference of the circle and teh perimeter of the square is equal and the ratio between the diameter of the circle and the side of the square is 7 :11 . What is the area of the circle ?
Correct Answer:
D: Can't be determined
Explanation:
The circumference of the circle and teh perimeter of the square is equal and the ratio between the diameter of the circle and the side of the square is 7 :11 . What is the area of the circle ? Correct Answer Can't be determined 2*pi*r = 4*a r/a = 4/(2*pi) = 4/(2*22/7) = 7/11 —— 2r:a = 7:11 r/a = 7/22
(x-5)(a+x)=x2-25 হলে a এর মান হবে-
Correct Answer:
ক: 5
A man sold his cow for Tk. 7920 and gained 10% . The buying price of the cow was:
Correct Answer:
D: 7200
Explanation:
A man sold his cow for Tk. 7920 and gained 10% . The buying price of the cow was: Correct Answer 7200 Cost price: 100*7920/110
স্থির পানিতে একটি নৌকার গতিবেগ ঘণ্টায় ২ কি.মি এবং স্রোতের অনুকূলে নৌকায় কার্যকরী হ=গতিবেগ কত?
Correct Answer:
ঘ: ৫ কি.মি
a+1a=3 হলে, a3+1a3= এর মান হবে-
Correct Answer:
গ: 18
What is 35% of (1156×160) ?
Correct Answer:
C: 11
Explanation:
What is 35% of (1156×160) ? Correct Answer 11 (35x11x160)/(100x56) = 11
A train can cross another train of equal length coming form the opposite direction with the speed of 108 km/h in 3 minutes . The speed of the other train is 90 km/h. Find the length of the train .
Correct Answer:
C: 4950 m
Explanation:
A train can cross another train of equal length coming form the opposite direction with the speed of 108 km/h in 3 minutes . The speed of the other train is 90 km/h. Find the length of the train . Correct Answer 4950 m Let, both trains be equal size of x Distance Relative speed x time = > (x + x) = (108 + 90) × (5/18)× (3 × 60) = > 2x = 198 x (5×18)× 3 × 60 = > 2x = 9900 ∴ x = 4950m Ans.
What would be the life span of the satellite 'Bangabandhu Satellite'?
Correct Answer:
C: 15 years
Explanation:
What would be the life span of the satellite 'Bangabandhu Satellite'? Correct Answer 15 years ১১ মে ২০১৮ বঙ্গবন্ধু স্যাটেলাইট - ১ কেনেডি স্পেস সেন্টার থেকে উৎক্ষেপ করা হয়। এ স্যাটেলাইটটির আয়ু ১৫ বছর। তবে এর ডিজাইন আয়ুষ্কাল ১৮ বছর।
একই হার মুনাফায় কোনো আসল ৬ বছরে মুনাফা -আসলে দ্বিগুণ হলে, কত বছরে তা মুনাফা-আসলে তিনগুণ হবে?
Correct Answer:
ক: ১২ বছর
Which of the following minerals is found at Maddyapara in Dinajpur district?
Correct Answer:
D: Hard rock
Explanation:
Which of the following minerals is found at Maddyapara in Dinajpur district? Correct Answer Hard rock দিনাজপুর জেলার পাবর্তীপুর উপজেলার ১০ নং হরিরামপুর ইউনিয়নের ৮ নং ওয়ার্ডে মধ্যপাড়া গ্রামে আবিষ্কৃত খনিতে কঠিন শিলা পাওয়া যায়। আবিষ্কৃত হয় ১৯৭৪ - ৭৫ সালে।
The average weight of teacher is also included, then the average weight is increased by 200 grams. Find the weight of the teacher?
Correct Answer:
A: 93.6 kg
Explanation:
The average weight of teacher is also included, then the average weight is increased by 200 grams. Find the weight of the teacher? Correct Answer 93.6 kg Total weight including teacher = 09.2x18 = 1623.6 Total weight of 17 students = 90x17 = 1530 So, the weight of teacher = 1623.6 - 1530 = 93.6 kg
A can complete a piece of work in 12 days, A, B and C can complete the work in 6 days, Efficiency of B is 0.5 times the efficiency of In how many days C can complete the works= alone?
Correct Answer:
A: 24 days
Explanation:
A can complete a piece of work in 12 days, A, B and C can complete the work in 6 days, Efficiency of B is 0.5 times the efficiency of In how many days C can complete the works= alone? Correct Answer 24 days Efficiency ratio of A:B = 1 : 3 = 2:1 So, days ratio A:B = 1:2 A needs 12 days, So B needs 12x2 = 24 days C can do in 1 day = 1/6 - {(1/12) + (1/24)} = (1/6) - ((3/24) = (1/24) part C can do 1/24 part in 1 day " " " 1 " " 1X24 = 24 day
একটি বইয়ের দৈর্ঘ্য ২৫ সে.মি এবং প্রস্থ ১৮ সে.মি । বইটির সংখ্যা ২০০ এবং প্রতি পাতা কাগজের পুরুত্ব ০.১ মি.মি হলে, বইটির আয়তন নির্ণয় কর।
Correct Answer:
গ: ৪৫০ সে.মি
If the average of 5 consecutive integers is 19 then what is the difference between the least and the greatest of the 5 integers?
Correct Answer:
A: 4
Explanation:
If the average of 5 consecutive integers is 19 then what is the difference between the least and the greatest of the 5 integers? Correct Answer 4 সোডিয়াম এসিটেটের সংকেত - CH3COONa
If 5a = 3b=20, then 45ab =
Correct Answer:
A: 1200
Explanation:
If 5a = 3b=20, then 45ab = Correct Answer 1200 5a = 20 3b = 20 - - - - - - - - - - - 15ab = 400 3 × 15ab = 45ab = 400 × 3 = 1200. ans.
How many times does the digits '4' come to write numbers from 10 to 100?
Correct Answer:
D: 19
Explanation:
How many times does the digits '4' come to write numbers from 10 to 100? Correct Answer 19 14, 24, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 54, 64, 74, 84, 94 = > 19 times. ans.
If Sufian's salary is 25% more than that of Habib , what is the ratio of the salary of Habib and Sufian ?
Correct Answer:
B: 0.80
Explanation:
If Sufian's salary is 25% more than that of Habib , what is the ratio of the salary of Habib and Sufian ? Correct Answer 0.80 If Habib's salary is 100, then Sufian's salary is 100 + 25 = 125. Ratio (Habib : Sufian) = 100 : 125 = 4 : 5 = 4/5 = 0.8
In which year , the first parliamentary election was held in Bangladeh?
Correct Answer:
D: 1973
Explanation:
In which year , the first parliamentary election was held in Bangladeh? Correct Answer 1973 বাংলাদেশের প্রথম জাতীয় সংসদ নির্বাচন অনুষ্ঠিত হয় ১৯৭৩ সালের ৭ মার্চ।
In which of the following districts the biggest gas field in Bangladesh is situated?
Correct Answer:
D: None
Explanation:
In which of the following districts the biggest gas field in Bangladesh is situated? Correct Answer None Currently there are 29 natural gas fields in Bangladesh. The first gas field was discovered at Haripur, Sylhet in 1955 and the last gas field was discovered in the 2017 at Bhola. Titas gas field is the largest natural gas field in Bangladesh. It was invented by the Pakistan Shell Oil Company in Brahmanbaria in the year 1962. The first gas transmission was started in 1957.
Which of the following is the lowest positive integer that is divisible by 8,9,10,11 , and 12?
Correct Answer:
C: 3,960
Explanation:
Which of the following is the lowest positive integer that is divisible by 8,9,10,11 , and 12? Correct Answer 3,960 LCM of 8, 9, 10, 11, and 12 = 3960. ans.
A shopkeeper sold and item at 20% profit and another item at 10% loss. If the cost price of both the items is same, find overall profit percent.
Correct Answer:
B: 5%
Explanation:
A shopkeeper sold and item at 20% profit and another item at 10% loss. If the cost price of both the items is same, find overall profit percent. Correct Answer 5% Let, cost price of per item 100 Tk. 1st item sell price = 120 2nd item sell price = 90 Total cost price = 100 + 100 = 200 Total sell price = 120 + 90 = 210 Profit percentage = {(210 - 200)/200}×100 = 5%
If a and b are two different prime numbers , which of the following is the smallest possible value of a+b ?
Correct Answer:
C: 5
Explanation:
If a and b are two different prime numbers , which of the following is the smallest possible value of a+b ? Correct Answer 5 To get the smallest possible value of a + b, we need to take the least two prime numbers fro a and b. The required sum is = 2 + 3 = 5. ans.
Which of the following is a coal fired power station in Bangladesh ?
Correct Answer:
B: Barapukuria
Explanation:
Which of the following is a coal fired power station in Bangladesh ? Correct Answer Barapukuria Barapukuria Power Station is located near Durgapur, Dinajpur, Bangladesh. It consists of two 125 megawatt units and one 275 MW unit. This coal - fired power station was commissioned in 2006, and is operated by the Bangladesh Power Development Board (BPDB).[1] There are three units of the plant, operated by BPDB, which are jointly able to generate 525MW power. Two units are capable of generating 250MW power together and third unit can generate 275MW power which is synchronised with national from late December 2017.
f(x) =x2-5x+6 এবং f(x)=0 হলে x=কত?
Correct Answer:
ক: ২,৩
8 males and 6 females can do a piece of work in 5 days, 5 males and 6 females can complete the same work in 7 days . How many days will a female take to do the job, if she works alone?
Correct Answer:
D: 126 days
Explanation:
8 males and 6 females can do a piece of work in 5 days, 5 males and 6 females can complete the same work in 7 days . How many days will a female take to do the job, if she works alone? Correct Answer 126 days (8M + 6F) × 5 = (5M + 6F) × 7 = > 40M + 30F = 35M + 42F = > 5M = 12F Now, (5M + 6F) = 12F + 6F = 18F 18F can do in = 7 days 1F can do in = 18x 7 = 126 days Ans.
x4+x2-20 এর উৎপাদকে বিশ্লেষণ হল:
Correct Answer:
খ: (x2+5)(x2-4)
3xy -20 +5x -12y =?
Correct Answer:
A: (x-4) (3y+5)
Explanation:
3xy -20 +5x -12y =? Correct Answer (x-4) (3y+5) 3xy - 20 + 5x - 12y = 5x - 20 + 3xy - 12y = 5(x - 4) + 3y(x - 4) = (x - 4)(3y + 5). ans.
x4-x2+0=0 হয়, তবে x2+1x2=?
Correct Answer:
C: 1
Explanation:
x4-x2+0=0 হয়, তবে x2+1x2=? Correct Answer 1 x4 - x2 + 1 = 0 = > x4 + 1 = x2 = > x2 - 1/x2 = 1 [ x2 দ্বারা ভাগ করে]
The area of lawn is 460 m2. If the length is 15 percent more than the breadth of the rectangular field What is the length of the field?
Correct Answer:
D: None of these
Explanation:
The area of lawn is 460 m2. If the length is 15 percent more than the breadth of the rectangular field What is the length of the field? Correct Answer None of these 460m² = L B ————— {1} Where as lenghth is 15% more than breadth i.e. 15b/100 + b = L Substitute L in {1} 460m² = (15b/100 + b) × b 460m² = (15b + 100b/100) × b 460 × 100 = 15b² + 100b² 46000 = 115b² 46000/115 = b² 400 = b² 20 × 20 = b × b :• b = 20 Breadth = 20m Length = 23m
x2+3x3x+3x2 এর লঘিষ্ঠ রুপ নিচের কোনটি?
Correct Answer:
খ: x
একটি কোণ, তার পূরক কোণ অপেক্ষা ২৪ বেশি হলে, কোণটির মাপ কত হবে?
Correct Answer:
ক: ৫৭
Explanation:
একটি কোণ, তার পূরক কোণ অপেক্ষা ২৪ বেশি হলে, কোণটির মাপ কত হবে? সঠিক উত্তর ৫৭ ধরি, একটি কোণ x তাহলে অপর কোণ x - ২৪ শর্তমতে, x + x - ২৪ = ৯০° বা, ২x = ৯০ + ২৪ = ১৪৪ বা, x = ১৪৪/২ ∴ x = ৫৭°
কোনো সংখ্যাকে ১৬, ২৪ ও ৩৬ দ্বারা ভাগ করলে যথাক্রমে ৬, ১৪ ও ২৬ ভাগশেষ থাকবে?
Correct Answer:
খ: ১৩৪
Explanation:
কোনো সংখ্যাকে ১৬, ২৪ ও ৩৬ দ্বারা ভাগ করলে যথাক্রমে ৬, ১৪ ও ২৬ ভাগশেষ থাকবে? সঠিক উত্তর ১৩৪ ১৬ - ৬ = ১০, ২৪ - ১৪ = ১০, ৩৬ - ২৬ = ১০ সংখ্যাটি হবে ১৬, ২৪ ও ৩৬ এর ল.সা.গু থেকে ১০ কম ∴ল.সা.গু = ২×২×২×৩×২×৩ = ১৪৪ ∴সংখ্যাটি = ১৪৪ - ১০ = ১৩৪
A 10% monthly salary increase resulted in a TK. 9000 per year increase in salary for an employee. What was his monthly salary before the increase?
Correct Answer:
C: TK. 7500
Explanation:
A 10% monthly salary increase resulted in a TK. 9000 per year increase in salary for an employee. What was his monthly salary before the increase? Correct Answer TK. 7500 Yearly increase = 9000 tk Monthly increase = 9000/12 = 750 tk 10% of Salary is = 750 tk 100% of Salary is = (750×100)/10 = 7500 tk
ক, খ -এর থেকে ৪ বছরের বড় এবং গ এর থেকে ৪ বছরের ছোট । খ ও ঘ যমজ । গ, ঘ থেকে কত বছরের বড়?
Correct Answer:
গ: ৮ বছর
How many distinguished personalities have been honored with the 'Independence Award in 2018 in Bangladesh?
Correct Answer:
B: 13
Explanation:
How many distinguished personalities have been honored with the 'Independence Award in 2018 in Bangladesh? Correct Answer 13 Of the nominees, 12 people have been nominated in the Independence and Liberation War category, while the names of four others were put forward in other categories. Ten of the 16 will be getting the award posthumously. The Swadhinata Padak, the highest civilian award, was introduced in 1977.
A is 30% more efficient than E How much time will they , working together , take to complete a job which A alone could have done in 23 days?
Correct Answer:
A: 13 days
Explanation:
A is 30% more efficient than E How much time will they , working together , take to complete a job which A alone could have done in 23 days? Correct Answer 13 days 1oo:130 = 10:13 Suppose, B takes xdays to do the work. Then,10:13 = 23:x x = (23 × 13÷10) x = 299÷10 A’1 day work = 1÷23 B’1 day work = 10÷299 (A + B) one day work = (1÷23 + 10÷299) = 23÷299 = 1÷13 they together complete the work in 13 days
Hasina : A Daughter's Tale Was directed by -
Correct Answer:
C: Piplu Khan
Explanation:
Hasina : A Daughter's Tale Was directed by - Correct Answer Piplu Khan Hasina: A Daughter's Tale is a 2018 Bangladeshi independent historical docudrama directed by Piplu Khan, based on the life of Sheikh Hasina, the tenth Prime Minister of Bangladesh. The film was jointly produced by the Centre for Research and Information and Applebox Films. It stars Sheikh Hasina as herself in the title role, and her younger sister Sheikh Rehana as herself.
A boat can travel form point A to point B and return back to point a in 9 hours. Speed of the boat in still water is 8 km/h and the speed of the stream is 4 km/h. Find the distance between A and B.
Correct Answer:
B: 27 km
Explanation:
A boat can travel form point A to point B and return back to point a in 9 hours. Speed of the boat in still water is 8 km/h and the speed of the stream is 4 km/h. Find the distance between A and B. Correct Answer 27 km Attested এর বহুল ব্যবহৃত বাংলা পারিভাষিক শব্দ হচ্ছে 'সত্যায়িত'। সূত্র হিসেবে বাংলা একাডেমী English to Bengali dictionary উল্লেখ করা যেতে পারে। ড. শাহজান মনিরের বাংলা ব্যাকরণে attestation শব্দটির বাংলা দেয়া হয়েছে 'সত্যায়ন'।