mathematics MCQs
Showing 50 questions (Total: 16798)
x+y=2,x2+y2=4 ,x3+y3=?
Correct Answer:
A: 8
Explanation:
x+y=2,x2+y2=4 ,x3+y3=? Correct Answer 8 দেয়া আছে, x + y = 2,x2 + y2 = 4x2 + y2 = (x + y)2 - 2xyবা, 4 = (2)2 - 2xyবা, 4 = 4 - 2xy.'. xy = 0 এখন x3 + y3 = (x + y)3 - 3xy(x + y) = (2)3 - 3×0×2 = 8
Sadia wants to setup a fence around her rectangular rose garden. If her garden is 15ft long and 12ft wide and the fence costs $1.50 per foot,how much she have to pay?
Correct Answer:
A: 81
The midpoint of a straight line is (3,6). If one endpoint of the straight line is (4,7) what is the other endpoint?
Correct Answer:
B: (2,5)
বিষমবাহু△ABC -এর বাহুগুলির মান এমনভাবে নির্ধারিত যে, AD মধ্যমা দ্বারা গঠিত △ABD-এর ক্ষেত্রফল x বর্গমিটা র ।△ABC-এর ক্ষেত্রফল কত?
Correct Answer:
খ: 2x বর্গমিটার
Explanation:
বিষমবাহু△ABC -এর বাহুগুলির মান এমনভাবে নির্ধারিত যে, AD মধ্যমা দ্বারা গঠিত △ABD-এর ক্ষেত্রফল x বর্গমিটা র ।△ABC-এর ক্ষেত্রফল কত? সঠিক উত্তর 2x বর্গমিটার যে কোনো ত্রিভুজের মধ্যমা ঐ ত্রিভুজকে সমদ্বিখণ্ডিত করে তাই মধ্যমা AD, ∆ABC কে ∆ABD ও ∆ACDএ সমান ভাগে ভাগ করে। যেহেতু ∆ABD এর ক্ষেত্রফল x বগর্গমিটার । .'. ∆ABC এর ক্ষেত্রফল = ∆ABD এর্ষেত্রফল ∆ACD এর ক্ষেত্রফল = x + x = 2x বগর্গমিটার
ঘড়িতে এখন ৮টা বাজে। ঘন্টার কাঁটা ও মিনিটের কাঁটার মধ্যকার কোণটি হলো__
Correct Answer:
ঘ: ১২০°
Explanation:
ঘড়িতে এখন ৮টা বাজে। ঘন্টার কাঁটা ও মিনিটের কাঁটার মধ্যকার কোণটি হলো__ সঠিক উত্তর ১২০° মধ্যবর্তী কোণ = |১১ × ০ - ৬০ × ৮°২| = | - ৪৮০°২| = ২৪০°.'. মধ্যবতর্তী কোণ = ৩৬০° - ২৪০° = ১২০°
A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the article is sold at marked price allowing no discount.
Correct Answer:
A: 30%`
A man can reach a certain place in 40 hours. If he reduces his speed by 1/15th, he goes 5km less in that time. Find the total distance covered by him.
Correct Answer:
D: 75km
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:
A: 12.5km/hr
If the numerator of fraction is increased by 200% and the denominator is increased by 350% The resultant fraction is 5/12. What was the original fraction?
Correct Answer:
B: 5/8
In a mixture, the ratio of the milk and water is 6:5. When 22 liter mixture is replaced by water, the ratio becomes 9: 13. Find the quantity of water after replacement.
Correct Answer:
D: 52liter
An article costs Tk.500 and the marked price is mentioned as Tk.800. What is the profit % for the seller if he sells and offers a discount of 10% on the marked price?
Correct Answer:
B: 44%
karim has brought some pens for 120 taka.if each pencoast him 2 taka less then he could buy 2 more pens.how many pens did he buy?
Correct Answer:
C: 12
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
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:
D: None of these
if x+y=7 and x^2+y^2 =25 then which of the following equals the value of x^3+y^3 ?
Correct Answer:
D: 91
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:
D: 12tk
The profit earned after selling an article for Tk.3,362 is the same as the loss incurred after selling the article for Tk.2,346. At what selling price will a trader make a 20% profit on this article?
Correct Answer:
D: None of these
the selling price of 15 items equals the coast of 20 items.what is the percentage profit earnd by the seller?
Correct Answer:
D: 33.33%
A fruite seller had some apples.He sells 40% apples and still has 420 apples.Originally,he had how many apples?
Correct Answer:
D: 700
when squared value of a number is subtracted from 5 times of a number the result is 6.what is the number?
Correct Answer:
B: 2
A train passes a platform in 40 sec and a woman standing on the platform in 30 sec. If the speed of the train is 108 km/hr, what is the length of the platform?
Correct Answer:
B: 300m
The ratio of the speed of boat in still water to the speed of stream is 16 :5. A boat goes 16.5 km in 45 minute upstream. Find the time taken by boat to cover the distance of 175 km downstream.
Correct Answer:
B: 25minutes
A garden plot turned out to be a parallelogram with base 12ft and height 6ft. What is the area of the garden plot?
Correct Answer:
D: 72
A boat travel with a speed of 10 km/hr in still water. If the speed of the stream is 3 km/hr then find time taken by boat to travel 52 km downstream.
Correct Answer:
C: 4hrs
A batsman scored 110 runs which included 3 boundaries and 8 sixes.What percent of his total score did he make by running between the wickets?
Correct Answer:
B: 45.46%
A train 125 m long passes a person, running at 8 km/hr in the same direction in which the train is going in 25 seconds. The speed of the train is:
Correct Answer:
D: 26
০.২×০.০২×০.০০২০.০১×০.০৪ এর মান কত?
Correct Answer:
খ: ০.০২
একজন সাইকেল আরোহী ঘন্টায় y কিমি. বেগে x কিমি. এবং ঘন্টায় q কিমি. বেগে p কিমি. যান। ভ্রমণে তার গড় গতিবেগ কত?
Correct Answer:
খ: x+pxy+pq
3x2-7x-6 এর উৎপাদক ___
Correct Answer:
খ: (3x+2)(x-3)
The length of room is 1.5 times of its breadth. If the area of the room is 216 sq. meters , what is the perimeter of the room ?
Correct Answer:
A: 60 meter
Explanation:
The length of room is 1.5 times of its breadth. If the area of the room is 216 sq. meters , what is the perimeter of the room ? Correct Answer 60 meter ধরি, ঘরটির প্রস্থ = x মিটার ,, দৈর্ঘ্য = 1.5x = 3/2x মিটার প্রশ্নমতে, x × 32 × x = 216 ⇒ x2 = 216 × 23⇒ x2 = 144 ⇒ x = 12 প্রস্থ = 12 মিটার. দৈর্ঘ্য = 3/2 × 12 = 18 মি. পরিসীমা = 2(12 + 18) মিটার = 60মিটার
A person needs to pay Tk. 500 to buy pencils and Tk. X for any additional unit of pencil . If the customer pays a total of Tk. 4,700 for 1200 pencils, what is the value of X ?
Correct Answer:
D: 3.5
Explanation:
A person needs to pay Tk. 500 to buy pencils and Tk. X for any additional unit of pencil . If the customer pays a total of Tk. 4,700 for 1200 pencils, what is the value of X ? Correct Answer 3.5 এখানে, x = 4700 - 5001200 = 42001200 = 3.5
x2-y2=?
Correct Answer:
C: (x+y)(x-y)
3.22-4.2n-2 এর সরলমান নিচের কোনটি?
Correct Answer:
গ: 2n+1
In a mixture , the ratio of the milk and water is 6: 5 . when 22 liter mixture is replaced by water, the ratio becomes 9 : 13. Find the quantity o water after replacement .
Correct Answer:
D: 52 liter
p2+7p+c যদি p-5 দ্বারা নিঃশেষে বিভাজ্য হয়, তবে c এর মান কত?
Correct Answer:
ক: -60
A triangular plot with sides of 25 feet, 40 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?
Correct Answer:
D: 24
Explanation:
A triangular plot with sides of 25 feet, 40 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot? Correct Answer 24 ত্রিত্রিভুজ ক্ষেত্রটির পরিসীমা = (২৫ + ৪০ + ৫৫) ফুট = ১২০ টি প্রতি ৫ মিটার পর পর পিলার দিলে মোট পিলার লাগবে = ১২০/৫ টি = ২৪ টি
সমবাহু ত্রিভুজের বাহুর দৈর্ঘ্য ৮ মিটার হলে ত্রিভুজটির ক্ষেত্রফল হবে__
Correct Answer:
ক: ১৬৩
If the numerator of fraction is increased by 200% and the denominator is increased by 350% . The resultant fraction is 5/12 . what was the original fraction?
Correct Answer:
B: 5/8
Alam sold two vehicles for Tk. 46000 each , If he gained 10% on another, then what is his profit percentage profit or loss in his this transaction?
Correct Answer:
C: 1% loss
A father said to his son,I was as old as you are at the present at the time of your birth.If the father's age is 38 years now,the son's age five years back was
Correct Answer:
A: 14 years
The profit earned after selling an article for Tk. 3,362 is the same as the loss incurred after selling the article for Tk. 2,346. At what selling price will a trader make a 20% profit on this article ?
Correct Answer:
D: None of them
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:
A: 12.5 km/hr
sinθ=35,0<θ<π2 হলে, tanθ=?
Correct Answer:
A: 35
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:
D: None of them
x=sin y হলে x এর সর্বোচ্চ মান কত?
Correct Answer:
খ: 1
If the cost of a long-distance phone call is C taka for the first minute and (2/3) C taka for each additional minute, what is the cost, in taka, of a 10 minute call of this type?
Correct Answer:
D: 7c
(2uv)2+(u2-v2)2=?
Correct Answer:
C: (u2+v2)2
If 5/8=3/x and y=1/5, what is the value of (x+y)?
Correct Answer:
C: 6
tanθ=b হলে sin2θ=?
Correct Answer:
গ: 2b1+b2
The ratio of the speed of boat in still water to the speed of stream is 16: 5. A boat goes 16.5 km in 45 minute upstream . Find the time taken by boat to cover the distance of 17.5 km downstream .
Correct Answer:
B: 25 minutes