mathematics MCQs
Showing 50 questions (Total: 16798)
A defect can be caused _____ negligence by one of the members of a team .
Correct Answer:
B: by
Explanation:
A defect can be caused _____ negligence by one of the members of a team . Correct Answer by ‘By’ in passives In passive sentences we use by to show who or what did an action: ‘This was painted by Picasso.’ ‘This house was built by my grandfather.’ ‘I was invited by Sarah.’
একটি ক্লাসে ৯ % শিক্ষার্থী A গ্রেড পেয়েছে। যদি ক্লাসে শিক্ষার্থীর সংখ্যা 300 হয় তবে কতজন শিক্ষার্থী A গ্রেড পেল?
Correct Answer:
ঘ: নিজে চেষ্টা করুন
If debater B is selected and debater Y is rejected , the team will consist of which four?
Correct Answer:
B: X, Z , D and B
Find the value of 95×9-3×94
Correct Answer:
B: 96
Explanation:
Find the value of 95×9-3×94 Correct Answer 96 95 × 9 - 3 × 94 = 95 - 3 + 4 = 96
দুটি মেশিন একসাথে ঘণ্টায় ৪ টি খেলনা তৈরি করে । ৬ টি মেশিন ২ ঘণ্টায় কতটি খেলনা তৈরি করবে?
Correct Answer:
ঘ: ২৪
If both Y and Z are selected, which of the other debaters must be in the team with them?
Correct Answer:
D: Both B and D
Explanation:
If both Y and Z are selected, which of the other debaters must be in the team with them? Correct Answer Both B and D প্রশ্নমতে, Y ও Z selected। সুতরাং junior হিসেবে যথাক্রমে A ও C বাদ যাবে। Junior বাকি থাকে B ও D। সুতরাং team গঠনে এরা দু’জনই বাধ্যতামূলক। এক্ষেত্রে Combination YZBD।
If 18 is 15 percent of 30 percent of a certain number , what is the number?
Correct Answer:
D: 400
Explanation:
If 18 is 15 percent of 30 percent of a certain number , what is the number? Correct Answer 400 ধরি, সংখ্যাটি x x × 15/100 ×30/100 = 18 x = 18 × 1000/45 x = 400
1 MHz=
Correct Answer:
D: 106
Explanation:
1 MHz= Correct Answer 106 1 megahertz is equal to to 1000000 hertz: 1 MHz = 106 Hz = 1000000 Hz
একটি পেন্সিলের দাম ১০ টাকা ও একটি কলমের দাম ২০ টাকা । যদি মিতার ১০০ টাকা থাকে, তবে কতগুলো পেন্সিল ও কলম কিনতে পারবে?
Correct Answer:
ঘ: ৪ টি পেন্সিল এবং ৩ টি কলম
x + y =6 ও 2x =4 হলে, y মান কত?
Correct Answer:
খ: ৪
Explanation:
x + y =6 ও 2x =4 হলে, y মান কত? সঠিক উত্তর ৪ দেওয়া আছে, x + y = 6 ও 2x = 4 2x = 4 = > x = 4/2 ∴ x = 2 x + y = 6 = > 2 + y = 6 = > y = 6 - 2 ∴ y = 4
In an election between two candidates, one got 55% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was -
Correct Answer:
A: 2700
If a cube has a length of 8 cm , what is its total surface area?
Correct Answer:
C: 384
Explanation:
If a cube has a length of 8 cm , what is its total surface area? Correct Answer 384 ঘনকের পৃষ্টতলের ক্ষেত্রফল = 6a2 বর্গ একক = 6 × ( 8) 2 বর্গ সে.মি = 384 বর্গ সেমি।
সকাল ছয়টায় সময় ঘণ্টায় কাঁটা ও মিনিটের কাঁটার মধ্যে কোণের পরিমাপ কত?
Correct Answer:
খ: 180°
The following figure consists of twenty-seven cubes. How many cubes will get closed on all sides by other cubes?
Correct Answer:
A: 1
Explanation:
The following figure consists of twenty-seven cubes. How many cubes will get closed on all sides by other cubes? Correct Answer 1 27 টি Cube এর মধ্যে শুধু মাঝের ১টি Cube চারদিকে আবদ্ধ।
Samad purchased 20 dozens of toys at the rate of TK. 375 per dozen. He sold each one of them at the rate of TK.33. What was his percentage profit?
Correct Answer:
D: 5.6%
A, B and enter into partneship with investments in the ratio of 5 :7:8 If, at the end of the year A's share of profit is Tk. 42360, how much is the total profit ?
Correct Answer:
A: Tk. 169,440
A number for each figures are given from 1 to 9 . Find out the best method of classification and identify this amongst the four alternative .
Correct Answer:
C: (1,3,5),(2,6,8),(4,7,9)
Explanation:
A number for each figures are given from 1 to 9 . Find out the best method of classification and identify this amongst the four alternative . Correct Answer (1,3,5),(2,6,8),(4,7,9) (1,3,5) চিত্রগুলো বৃত্ত সম্পর্কিত। (2,6,8) ,, ত্রিভুজ ,, । এবং (4,7,9) ,, চতুর্ভুজ ,, ।
In Triangle PQR, QS and SR angle bisectors and angle P=80 degree. how many degrees are there in angle QSR?
Correct Answer:
D: 130
If f (x) =x2+1x-1-1, then which of the following is correct ?
Correct Answer:
D: f(-1)=-1
Your income for a year is Tk. 26,000 . You receive a raise so that next year's income will be Tk. 29,000. How much more will you pay in taxes next year if the tax rate remains the same ?
Correct Answer:
D: Try your self
Explanation:
Your income for a year is Tk. 26,000 . You receive a raise so that next year's income will be Tk. 29,000. How much more will you pay in taxes next year if the tax rate remains the same ? Correct Answer Try your self The difference in taxes is:[1,070 + 0.07(29,000 - 25,000)] - [1,070 + 0.07(26,000 - 25,000)]0.07(4,000) - 0.07(1,000)0.07(3,000) = 210
A and B invested in a business in the ratio of 3:2. If 5% of the total profit goes to charity and A's share is TK.855, then how much is the total profit?
Correct Answer:
B: TK. 1500
Three partners in a business shared a sum of TK. 1800/- in profits.What is the share of each if profits are shared in the ratio of 6:5:1 ?
Correct Answer:
C: TK. 900, TK. 750, TK. 150
In a rectangle, if the angle between a diagonal and a side is 30 degree and the length of diagonal is 6 cm, the area of the rectangle is---
Correct Answer:
B: 93cm2
A cricket team of 11 players is to be formed from 20 players including 6 bowlers and 3 wicket keepers. The number of ways in which a team can be formed having exactly 4 bowlers and 2 wicket keepers is--
Correct Answer:
A: 20790
A husband and wife appear in an interview for two vacancies in the same post. The probability of husband,s selection is 1/7 and that of wife,s is 1/5. What is the probability that none of them will be selected?
Correct Answer:
C: 24/35
Three angles of a triangle are in proportion 5 : 6 : 7. Then what is the difference in degrees between the biggest and the smallest angles?
Correct Answer:
B: 20°
Explanation:
Three angles of a triangle are in proportion 5 : 6 : 7. Then what is the difference in degrees between the biggest and the smallest angles? Correct Answer 20° Ecology is the study of the relationships between living organisms, including humans, and their physical environment; it seeks to understand the vital connections between plants and animals and the world around them.
A manufacturer sells three products i.e A, B and C . Product A costs 200 and sells for 250, Product B costs 150 and sells for 180 , product C costs 100 adn sells for 110. On which product, he has maximum percentage of profit?
Correct Answer:
C: A only
Explanation:
A manufacturer sells three products i.e A, B and C . Product A costs 200 and sells for 250, Product B costs 150 and sells for 180 , product C costs 100 adn sells for 110. On which product, he has maximum percentage of profit? Correct Answer A only Light Year is related to distance. A light - year is a unit of distance. It is the distance that light can travel in one year. Light moves at a velocity of about 300,000 kilometers (km) each second.
If the length of each of the sides of three square garden's plots is increased by 50 percent, by what percent is the sum of the areas of the three plots increased ?
Correct Answer:
D: 125%
Explanation:
If the length of each of the sides of three square garden's plots is increased by 50 percent, by what percent is the sum of the areas of the three plots increased ? Correct Answer 125% Most pencil cores are made of graphite powder mixed with a clay binder. Graphite pencils (traditionally known as 'lead pencils') produce grey or black marks that are easily erased, but otherwise resistant to moisture, most chemicals, ultraviolet radiation and natural aging.
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two-digits of that number?
Correct Answer:
A: 3
A train speeds past a pole in 15 seconds and a platform 100m long in 25 seconds. What is the length of the train?
Correct Answer:
C: 150 meter
A jogger running at 9 km/hr alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Correct Answer:
C: 36 sec
A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount ?
Correct Answer:
D: 7K
Explanation:
A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the smaller field has area K, then the area of the larger field is greater than the area of the smaller field by what amount ? Correct Answer 7K Rabies. In some areas known as “mad dog disease” because the transmission of the disease is frequently associated with bites by infected dogs. Hydrophobia is the commonest name and relates to the major symptom.
In a race 200m, A can beat B by 31m and C by 18m. In arace of 350m, C will beat B by------
Correct Answer:
B: 22.75m
Alam sold two vehicles for Tk. 46000 each . If he gained 10% on the first and lost 10% on another , then what is his percentage profit or loss in this transaction?
Correct Answer:
C: 1% loss
Explanation:
Alam sold two vehicles for Tk. 46000 each . If he gained 10% on the first and lost 10% on another , then what is his percentage profit or loss in this transaction? Correct Answer 1% loss Let the profit be X% & loss be Y%. So, net profit/loss % = X + ( - Y) + X.( - Y)/100 (Negative sign denotes that there is a loss.) = 10 + ( - 10) + 10.( - 10)/100 = - 1 (Negative sign denotes that there is a net loss.) So, the net loss percentage is 1%.
A short distance athlete has taken 60 seconds to cover 100 meters . If he makes 30 steps in 9 seconds , how many steps has he taken in that time?
Correct Answer:
D: None of these
Explanation:
A short distance athlete has taken 60 seconds to cover 100 meters . If he makes 30 steps in 9 seconds , how many steps has he taken in that time? Correct Answer None of these The joule (symbol J) is the SI unit of energy—a measure of the capacity to do work or generate heat. One joule equals the work done (or energy expended) by a force of one newton (N) acting over a distance of one meter (m).
A man can row 6 km / hr in still water. It the speed of the current is 2 km / hr , it takes 3 hrs more in upstream than in the downstream for the same distance . The distance is
Correct Answer:
B: 24 km
Explanation:
A man can row 6 km / hr in still water. It the speed of the current is 2 km / hr , it takes 3 hrs more in upstream than in the downstream for the same distance . The distance is Correct Answer 24 km Speed of man in still water, x = 6 km/h Speed of current, y = 2 km/h Let distance = M According to question, Upstream time = Downstream time + 3 Or, M/4 = M/8 + 3 Or, 2M - M = 24 Or, M = 24 So, the distance is 24 km.
The respective ratio between the speed of a car , a train , and a bus is 5 : 9 : 4 . The average speed of the car, bus and train is 72 km / hr together . what is the average speed of the car and the train together?
Correct Answer:
D: 84 km / hr
Explanation:
The respective ratio between the speed of a car , a train , and a bus is 5 : 9 : 4 . The average speed of the car, bus and train is 72 km / hr together . what is the average speed of the car and the train together? Correct Answer 84 km / hr Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively. Average speed = (5x + 9x + 4x)/3 = 18x /3 = 6x km/hr. Also, 6x = 72 = > x = 12 km/hr Therefore, the average speed of the car and train together is = ( 5x + 9x)/2 = 7x = 7 x 12 = 84 km/hr.
Three angles of a triangle are in proportion 5: 6: 7. Then what is the difference in degrees between he biggest and the smallest angles?
Correct Answer:
A: 20°
Explanation:
Three angles of a triangle are in proportion 5: 6: 7. Then what is the difference in degrees between he biggest and the smallest angles? Correct Answer 20° ATQ, 5x + 6x + 7x = 180 Or, 18x = 180 Or, x = 10 So, the difference in degrees between the biggest and the smallest angles = 70 - 50 = 20 degree.
A water tank has two taps ( Tap-1 and Tap-2) : Tap-1 can fill a tank in 8 hours and Tap-2 can empty the tank in 16 hours . How long will they take to fill the tank if both taps are opened simultaneously but Tap -2 is closed after 8 hours?
Correct Answer:
B: 12
Explanation:
A water tank has two taps ( Tap-1 and Tap-2) : Tap-1 can fill a tank in 8 hours and Tap-2 can empty the tank in 16 hours . How long will they take to fill the tank if both taps are opened simultaneously but Tap -2 is closed after 8 hours? Correct Answer 12 In 1 hr, the tank is filled = 1/8 - 1/16 = 1/16 In 8 hrs " " " " = 8/16 = 1/2 Now, 1/8 part is filled by tap - 1 in 1 hour 1/2 part is filled by tap - 1 in = 8/2 = 4 hrs So, the required time = 8 + 4 = 12 hrs
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:
C: 60.0km/hr
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
12 marbles are selected at random form a large collection of white , red, green and yellow marbles . The number of marbles of each color is unlimited. Find the probability that the selection contains at least one marble of each color ?
Correct Answer:
D: 3391
Explanation:
12 marbles are selected at random form a large collection of white , red, green and yellow marbles . The number of marbles of each color is unlimited. Find the probability that the selection contains at least one marble of each color ? Correct Answer 3391 12 marbles are selected at random form a large collection of white , red, green and yellow marbles . The number of marbles of each color is unlimited. Find the probability that the selection contains at least one marble of each color ? This is same as W + R + G + Y = 12, where all are positive integers. Step I.. first, give one to each, hence 4 gone. Now you can distribute the remaining 8 to anyone as the restriction of at least one is done.. W + R + G + Y = 8..W + R + G + Y = 8.. Now, take this as 8 marbles and 3 partitions, so total 11 things. You can choose these 3 partitions in 11C3 ways = 11!/8!3! = 11∗10∗9/3∗2 = 11∗5∗3 Step II.. Total ways.. W + R + G + Y = 12 Now, take this as 12 marbles and 3 partitions, so total 15 things. You can choose these 3 partitions in 15C3 ways = 15!/12!3! = 15∗14∗13/3∗2 = 5∗7∗13 Probability = 11∗5∗3/5∗7∗13 = 33/91
A can finish a work in 5 days and B takes 4 days to do the same work . If the work is increased by 8 times, how many days will it take for both of them to finish the work if they work together?
Correct Answer:
A: 20 days
Explanation:
A can finish a work in 5 days and B takes 4 days to do the same work . If the work is increased by 8 times, how many days will it take for both of them to finish the work if they work together? Correct Answer 20 days The work is increased by 8 times so the total work to be completed is [1 + 8 = 9] A completes 1/5 work in a day [ because he completes the work in 5 days] B completes 1/4 work in a day[ because he completes work in 4 days] So working together A&B completes 1/5 + 1/4 = 9/20 work in one day therefore the total increased work 9 will be completed in 20 days.
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:
C: 7
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
A short distance athlete has taken 60 sec to cover 100m. If he makes 30 steps in 9, sec how many steps has he taken in that time?
Correct Answer:
D: None
Explanation:
A short distance athlete has taken 60 sec to cover 100m. If he makes 30 steps in 9, sec how many steps has he taken in that time? Correct Answer None He makes in 9 sec = 30 steps So,he will make 60 sec = (30×60)/9 = 200 steps
A manufacturer sells three products i.e A, B C. Product A costs 200 and sells for 250, product 150 and sells for 180, Product C cost 100 and sells for 110. On which product, he has maximum percentage of profit?
Correct Answer:
C: A only
Explanation:
A manufacturer sells three products i.e A, B C. Product A costs 200 and sells for 250, product 150 and sells for 180, Product C cost 100 and sells for 110. On which product, he has maximum percentage of profit? Correct Answer A only A এর শতকরা মুনাফা = ২৫০ - ২০০/২০০ × ১০০ = ২৫% B এর শতকরা মুনাফা = ১৮০ - ১৫০ /১৫০ × ১০০ = ২০% C এর শতকরা মুনাফা = ১১০ - ১০০/১০০ × ১০০ = ১০% উত্তরঃ A only.
a man can row at 5 km/hr in still water. If the velocity of the current is 1 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?
Correct Answer:
D: 5 km
If for a square matrix A , A2=A then such a matrix is known as :
Correct Answer:
A: Idempotent matrix
A short distance athelte has taken 60 sec to cover 100m. If he makes 30 steps in 9 sec,how many steps has he takenin that time?
Correct Answer:
D: None
Explanation:
A short distance athelte has taken 60 sec to cover 100m. If he makes 30 steps in 9 sec,how many steps has he takenin that time? Correct Answer None 9 সেকেন্ড এ তৈরি করে 30 টি স্টেপ 60 সেকেন্ড এ তৈরি করে ( 60 × 30 /9) = 200 টি স্টেপ
How many bits string of length 4 are possible such that they contain 2 ones and 2 zeroes ?
Correct Answer:
D: 6
A car goes 15 km on a gallon of octane when it is driven at 50 km/h. When the car is driven at 60 km/h, it only goes 80% as far. How many gallons of octane are needed to travel 200 km if half the distance is traveled at 50 km/h and the rest 60 km/h?
Correct Answer:
A: 15.00
Explanation:
A car goes 15 km on a gallon of octane when it is driven at 50 km/h. When the car is driven at 60 km/h, it only goes 80% as far. How many gallons of octane are needed to travel 200 km if half the distance is traveled at 50 km/h and the rest 60 km/h? Correct Answer 15.00 প্রতিক্ষেত্র গতি ৫০ কিমি/ঘন্টায় দ্বিতীয় ক্ষেত্রে গতি ৬০ কিমি/ঘন্টায় প্রতি গ্যালন এ যায় = ১৫ × ৮০/১০০ = ১২ কিমি ৫০ কিমি/ঘন্টায়, ৫ কিমি যায় = ১ গ্যালন অকটেনে ২০০/২ = ১০০ কিমি যায় = ১০০/১৫ গ্যালন আবার, ৬০ কিমি/ঘন্টায় ১২ কিমি যায় = গ্যালন অকটেনে ১০০ কিমি যায় = ১০০/১২ গ্যলনে মোট যায় = ১০০/১৫ + ১০০/১২ = ৪০০ + ৫০০/৬০ = ৯০০/৬০ = ১৫ গ্যলন