mathematics MCQs
Showing 50 questions (Total: 16798)
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 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 and C. Product A costs 200 and sells for 250, Product b costs 150 and sells for 180, product C costs 100 and sells for 110. On which product, he has maximum percentage of profit? Correct Answer A only A এর শতকরা মুনাফা = 250 - 200 /200 × 100 = 25% B এর শতকরা মুনাফা = 180 - 150 /150 × 100 = 20% C এর শতকরা মুনাফা = 110 - 100/100 × 100 = 10% Answer : A only.
If A has 4 elements and B has 8 elements then the minimum and maximum number of elements in A∪B are respectively __
Correct Answer:
B: 8,12
In the given AP series find the number of terms 5, 8, 11, 14, 17, 20 , ..... 50.
Correct Answer:
D: 16
A wholesaler sells goods a retailer at a profit of 20%. The retailer sells to the customer, who pays 80% more than of the wholesaler. What is the retailers profit?
Correct Answer:
B: 50%
Explanation:
A wholesaler sells goods a retailer at a profit of 20%. The retailer sells to the customer, who pays 80% more than of the wholesaler. What is the retailers profit? Correct Answer 50% মনে করি, Wholesealer এর ক্রয়মূল্য = 100 টাকা সুতরাং, Wholesealer এর বিক্রয়মূল্য বা Retailer এর ক্রয়মূল্য = 100 + 20 = 120 টাকা Retailer এর বিক্রয়মূল্য = 100 + 80 = 180 টাকা তাহলে, Retailer এর শতকরা লাভ = 180 - 120 /120× 100 = 60/120 × 100 = 50%
A polygon with 25 sides a can be triangulated into ___
Correct Answer:
A: 23
If an integer y is subtracted from an integer x, and the results than x, than y must be___
Correct Answer:
B: less than 0
Explanation:
If an integer y is subtracted from an integer x, and the results than x, than y must be___ Correct Answer less than 0 প্রশ্নমতে, x - y > x ধরি, x = 2, y = - 1 2 - ( - 1) > 2 বা, 3 > 2 Answer : less than 0।
One third of the faculty members of a department are female. Sixteen of the male teaches unmarried while 60% of them are married. The total member of faculty members in the department is____
Correct Answer:
B: 60
Explanation:
One third of the faculty members of a department are female. Sixteen of the male teaches unmarried while 60% of them are married. The total member of faculty members in the department is____ Correct Answer 60 মনে করি, মোট faculty members = x জন মহিলা faculty members x/3 জন সুতরাং, পুরুষ faculty members ( x - x/3) = 2x/3 জন বিবাহিত পুরুষের সংখ্যা = 2x/3 × 60/100 = 2x/5 জন অবিবাহিত পুরুষের সংখ্যা = 2x/3 - 2x/5 জন = 10x - 6x /15 = 4x/15 জন প্রশ্নমতে, 4x/15 = 16 x = 16 × 15/4 x = 60 জন।
A train went 300 km city X to City at an average speed of 10 km/h. At what speed did it travel on the way back if its average speed for the whole trip was 120 km/h?
Correct Answer:
D: 150 km/h
Explanation:
A train went 300 km city X to City at an average speed of 10 km/h. At what speed did it travel on the way back if its average speed for the whole trip was 120 km/h? Correct Answer 150 km/h 100 km/h এ city X থেকে city Y তে যেতে সময় লাগে 300/100 ঘন্টা = 3 ঘন্টা যাওয়া ও আসার জন্য মোট ভ্রমনের সময় লাগে = 300 × 2 /120 = 5 ঘন্টা সুতরাং, ফিরতি ভ্রমনের জন্য সময় থাকে = 5 - 3 = 2 ঘন্টা তাহলে ফিরতি বেগ হলে = 300/2 km/h = 150km/h
If a, b and c are 3 conscutive integers and a> b> c, which of the following has the maximum value?
Correct Answer:
D: a + (bc )
Explanation:
If a, b and c are 3 conscutive integers and a> b> c, which of the following has the maximum value? Correct Answer a + (bc ) ধরি, a = 3, b = 2, এবং, c = 1 সুতরাং, 3 + 2/1 = 3 + 2 = 5 সর্বোচ্চ মান হবে। উত্তরঃ a + ( b/c)
The Ex-nor of this string '01010101' with '11111111' is
Correct Answer:
C: 01010101
Explanation:
The Ex-nor of this string '01010101' with '11111111' is Correct Answer 01010101 Option a, c, d কোনোটিই বাক্যের অর্ত পরিপূর্ণ করতে পারে না। শূন্যস্থানে বসালে বাক্যের অর্থ হয় - আহত লোকটি কী বলল যখন যে আমাদের কাছে পৌঁচাল? সুতরাং সঠিক উত্তর (b).
If f is a function defined from R is given by f (x) = 3x -5, then f-1 (x) is given by :
Correct Answer:
B: (x +5)/3
Explanation:
If f is a function defined from R is given by f (x) = 3x -5, then f-1 (x) is given by : Correct Answer (x +5)/3 প্রদত্ত বাক্যের বাংলা অর্থ - তার একটি বদ অভ্যাস হলো - এবং এ কারণে তার বয়স বাড়ার সাথে সাথে - আশ্চর্য কিছু নয়। 1ম শূন্যস্থানে greed (লোভ) এবং 2য় শূন্যস্থানে disillusioned (মোহভঙ্গ হওয়া) শব্দদ্বই যথোপযুক্ত। সুতরাং সঠিক উত্তরটি হবে (b)
Sam can mow a lawn in 20 min, while mark takes 10 min longer to longer to mow the same lawn. How long will they take to mow the lawn if they work together?
Correct Answer:
A: 12 min
Explanation:
Sam can mow a lawn in 20 min, while mark takes 10 min longer to longer to mow the same lawn. How long will they take to mow the lawn if they work together? Correct Answer 12 min sam এর সময় লাগে 20 মিনিট Mark এর সময় লাগে = ( 20 + 10) = 30 মিনিট Sam ও Markএকত্রে কাজ করলে সময় লাগে ( 20 × 30) /( 20 + 30) মিনিট = 600/50 = 12 মিনিট।
If number a is 22×31×50 and b is 21×31×51 then 1cm of a, b is :
Correct Answer:
A: 22×31×51
Explanation:
If number a is 22×31×50 and b is 21×31×51 then 1cm of a, b is : Correct Answer 22×31×51 Sentence টিতে ভূল নেই। ‘সুতরাং, সঠিক উত্তরটি (e).
f the length of each of the sides of three squeare garden's plots us increases by 50 percents, by what percent is the sum of the areas of the three plots increased?
Correct Answer:
D: 375%
Explanation:
f the length of each of the sides of three squeare garden's plots us increases by 50 percents, by what percent is the sum of the areas of the three plots increased? Correct Answer 375% 3 টি বর্গক্ষেত্রের প্রতিটির দৈর্ঘ্য 50% বৃদ্ধি পায় 1 টি বর্গক্ষেত্রের ক্ষেত্রফল বৃদ্ধি পায় ( 50 + 50 + 50× 50/100) % = ( 100 + 25) = 125 % 3 টি বর্গক্ষেত্রের ক্ষেত্রফল বৃদ্ধির যোগফল = ( 125 + 125 + 125) % = 375%
.1×.01×.001.2×.02×.002-এর মান কত?
Correct Answer:
D: 18
Explanation:
.1×.01×.001.2×.02×.002-এর মান কত? Correct Answer 18 .1X .01 X .001 = 0.000001 .2 X .02 X .002 = 0.000008 = 0.000001/0.000008 = 1/8
যদি (x-5)(a+x)=x2-25 হয় তবে a এর মান কত?
Correct Answer:
খ: 5
Explanation:
যদি (x-5)(a+x)=x2-25 হয় তবে a এর মান কত? সঠিক উত্তর 5 (x - 5) (a+x)=x^2 - 25বা, (x-5)(x+a)=(x+5)(x-5)বা, x+a=x+5বা, a=5
a + b + c =0 হলে a3+b3+c3এর মান কত?
Correct Answer:
খ: 3abc
Explanation:
a + b + c =0 হলে a3+b3+c3এর মান কত? সঠিক উত্তর 3abc a + b + c = 0 → a + b = - c → (a + b)3 = - c3 → a3 + b3 + 3ab(a + b) = - c3 → a3 + b3 - 3abc = - c3 → a3 + b3 + c3 = 3abc
Two circles of equal radii touch externally at a point P . Form a point T on the target at P target TQ and TR are drawn to the circles with points of contact Q and R respectively. The relations of TQ and TR is
Correct Answer:
C: TQ = TR
Explanation:
Two circles of equal radii touch externally at a point P . Form a point T on the target at P target TQ and TR are drawn to the circles with points of contact Q and R respectively. The relations of TQ and TR is Correct Answer TQ = TR TR, TP are two tangents drawn to a bigger circle from an external point T. we know that, length of tangents drawn from external point to circle are equal ∴TR = TP ___(i) Similarly TP, TQ are two tangent drawn to a smaller circle from an external point T. Again we have TP = TQ __(ii) From (i) & (ii), we have TR = TQ
If w is 10% less than x, and y is 30% less than z, they wy is what percent less than xz?
Correct Answer:
C: 37%
Explanation:
If w is 10% less than x, and y is 30% less than z, they wy is what percent less than xz? Correct Answer 37% 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%.
The next number in the sequence 3,6, 11, 18, 27 , ---
Correct Answer:
C: 38
Explanation:
The next number in the sequence 3,6, 11, 18, 27 , --- Correct Answer 38 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
Two lots of onions with equal quantity, one costing Tk. 10 per kg and the other costing Tk. 15 per kg are mixed together and whole lot is sold at Tk. 15 per kg . What is the profit or loss?
Correct Answer:
D: 20% profit
Explanation:
Two lots of onions with equal quantity, one costing Tk. 10 per kg and the other costing Tk. 15 per kg are mixed together and whole lot is sold at Tk. 15 per kg . What is the profit or loss? Correct Answer 20% profit Let each lot of onion - contain N kg onion, Then total cost price of these two lots together = 10N + 15N = 25N Selling price of whole lot = 15 x (N + N) = 15 x 2N = 30N Profit percentage = [(30N - 25N)/25N] x 100 % = (5/25) x 100% = 20%
The sum of first 17 terms of the series 5, 9,13, 17 , .....
Correct Answer:
C: 629
Explanation:
The sum of first 17 terms of the series 5, 9,13, 17 , ..... Correct Answer 629 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.
If 6 men and 8 boys can do a piece of work in 10 days and 26 men and 48 boys can do the same in 2 days , the time taken by 15 men and 20 boys to do the same type of work will be
Correct Answer:
A: 4 days
Explanation:
If 6 men and 8 boys can do a piece of work in 10 days and 26 men and 48 boys can do the same in 2 days , the time taken by 15 men and 20 boys to do the same type of work will be Correct Answer 4 days Given that 6 men and 8 boys can do a piece of work in 10 days 26 men and 48 boys can do the same in 2 days As the work done is equal, 10(6M + 8B) = 2(26M + 48B) 60M + 80B = 52M + 96B = > M = 2B = > B = M/2 ……(1) Now Put (1) in 15M + 20B = > 15M + 10M = 25M Now, 6M + 8B in 10 days = > (6M + 4M) 10 = 100M Then D(25M) = 100M = > D = 4 days.
How many terms of Arithmetic Progression (A.P) 21, 18, 15, 12 , ..... must by taken to give the sum zero?
Correct Answer:
B: 15
Explanation:
How many terms of Arithmetic Progression (A.P) 21, 18, 15, 12 , ..... must by taken to give the sum zero? Correct Answer 15 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 and B are partners in a business A contributes 1/4 of the capital for 15 months and B receives 2.3 of the profit . Find for how long B's money was used.
Correct Answer:
C: 10 months
Explanation:
A and B are partners in a business A contributes 1/4 of the capital for 15 months and B receives 2.3 of the profit . Find for how long B's money was used. Correct Answer 10 months Let the total profit be Tk. z. Then, B's share = Tk.. 2z/3, A's share = Tk. ( z - 2z/3 ) = Tk. z/3. A : B = z/3 : 2z/3 = 1:2 Let the total capital be Tk. X and suppose B's money was used for x months. Then. (1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 < = > y = (15 * 2 / 3) = 10 . Thus, B's money was used for 10 months.
A train of length 150 m takes 10 seconds to cross another train 100 m long coming from the opposite direction . If the speed of first train is 30 km / hr, what is the speed of second train?
Correct Answer:
C: 60 km / hr
In an acute angled traingle ABC ,if sin 2 (A + B - C) =1 and tan ( B + C-A)=3 , then the value of angle B is
Correct Answer:
A: 52%
In covering a certain distance , the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is :
Correct Answer:
C: 2.0 hours
Explanation:
In covering a certain distance , the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is : Correct Answer 2.0 hours Ratio of speed = 3:4 Ratio of time = 4:3 let A takes 4x hrs,B takes 3x hrs then 4x - 3x = 30/60 hr x = ½ hr Time taken by A to reach the destination is 4x = 4 * ½ = 2 hr
Pipe A alone can fill a tankin 8 hours .Pipe B can fill it in 6 hours . If both the pipes are operated and after 2 hours pipe A is closed, then the other pipe will fill the tank in.
Correct Answer:
D: 1 1/2 hours
Explanation:
Pipe A alone can fill a tankin 8 hours .Pipe B can fill it in 6 hours . If both the pipes are operated and after 2 hours pipe A is closed, then the other pipe will fill the tank in. Correct Answer 1 1/2 hours Part of the tank filled by pipe A and B in 2 hours = 2 ( 1/6 + 1/8 ) = 2 {(4 + 3)/24} = 7/12 Remaining part = 1 - 7/12 = 5/12 This part is filled by pipe B. ∴ Required Time = (5/12)x 8 = 10/3 hours
Which of the numbers below is not equivalent to 4%?
Correct Answer:
C: 0.40
Explanation:
Which of the numbers below is not equivalent to 4%? Correct Answer 0.40 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
After being dropped a certain ball always bounces back to 2/5 of the height of its previuos bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth?
Correct Answer:
B: 8
Explanation:
After being dropped a certain ball always bounces back to 2/5 of the height of its previuos bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth? Correct Answer 8 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
If x is an integer and y=-2x-8, what is the least value of x which y is less than 9?
Correct Answer:
B: -8
Explanation:
If x is an integer and y=-2x-8, what is the least value of x which y is less than 9? Correct Answer -8 Area of outer square = 2a x 2a = 4a2 In△BAD (BD)2 = (AD)2 + (AB)2 (2a)2 = x2 + x2 4a2 = 2x2 2a2 = x2 x = 2 – √a. Area of inner square = 2 – √ax2 – √a = 2a2 Difference between the areas of the outer and inner square = 4a2−2a2 = 2a2
The slpoe of the line perpendicular to the line y=-5x+9 is____
Correct Answer:
C: 1/5
If m and p are positive integers and (m+p) m is even, which of the following must be true?
Correct Answer:
A: If m odded, then p is odd
A pole 6m high cast a shadow 23m long on the ground, then the Sun's elevation is_____
Correct Answer:
A: 60°
∆ABC এ ∠A=x,∠B=3x এবংে ∠C=2x হলে ত্রিভুজটি হবে-
Correct Answer:
ক: সমকোণী
Explanation:
∆ABC এ ∠A=x,∠B=3x এবংে ∠C=2x হলে ত্রিভুজটি হবে- সঠিক উত্তর সমকোণী mechanical. Use the adjective mechanical to describe something related to machinery or tools. ... A mechanical problem at work might mean the copier has broken down again. Mechanical can also refer to physical forces, called mechanics having to do with how things move, like the mechanical elegance of a pendulum.
Ifsecθ+tanθ=x, then tanθ is___
Correct Answer:
D: (x2-1)/2x
∆ABC এর ∠B=40°, ∠C=60° এবং ∠B ও ∠C এর সমদ্বিখন্ডদ্বয় O বিন্দুতে মিলিত হলে, ∆BOCএর মান কত?
Correct Answer:
গ: 130°
Explanation:
∆ABC এর ∠B=40°, ∠C=60° এবং ∠B ও ∠C এর সমদ্বিখন্ডদ্বয় O বিন্দুতে মিলিত হলে, ∆BOCএর মান কত? সঠিক উত্তর 130&#xB0; contemporary. Things that are contemporary are either happening at the same time or happening now. Contemporary art is recent art. In history class, if you hear that one famous person was a contemporary of another, that means they lived at the same time. Contemporaries are people and things from the same time period.
The area of a triangle with sides 3 cm, 5 cm and 6 cm is_______
Correct Answer:
B: 214cm2
If th radius of cylinder is halved and height is doubled, then what will be the curved surface area?
Correct Answer:
B: the same
There are 5 red and 3 black balls in a bag. Probability of drawing a black ball is____
Correct Answer:
C: 3/8
Find the largest fraction from following :
Correct Answer:
D: -15/97
In triangle ABC=AC and ∠C=90° find the measure of ∠A
Correct Answer:
D: 120°
The number of parallelograms that can be formed a set of four parallel lines intersecting another set of tree parallel lines is___
Correct Answer:
D: 18
The value of, if (x-1) is a factor of 4x3+3x2-4x+k, is
Correct Answer:
C: -3
Find the greater number ___
Correct Answer:
B: 0.3
Explanation:
Find the greater number ___ Correct Answer 0.3 তৎসম শব্দ[সম্পাদনা]. সংস্কৃত ভাষার যে - সব শব্দ অপরিবর্তিত রূপে সরাসরি বাংলা ভাষায় গৃহীত হয়েছে সে সব শব্দকে বলা হয় তৎসম শব্দ। উদাহরণঃ - চন্দ্র, সূর্য, নক্ষত্র, ভবন, ধর্ম, পাত্র, মনুষ্য, মস্তক, অন্ন, গৃহ, চরণ, তৃণ, অগ্রহায়ণ,ভাষা ইত্যাদি।
if)x-y)2=12 and xy=1 what is the value(x2+y2)?
Correct Answer:
B: 14
Explanation:
if)x-y)2=12 and xy=1 what is the value(x2+y2)? Correct Answer 14 রূঢ় বা রূঢ়ি শব্দ: যেসব প্রত্যয় নিষ্পন্ন শব্দ তাদের প্রকৃতি ও প্রত্যয়ের অর্থ না বুঝিয়ে অন্য কোনো বিশেষ অর্থ প্রকাশ করে, তাদের রূঢ় বা রূঢ়ি শব্দ বলে। যেমন: 'সন্দেশ' শব্দের শব্দ ও প্রত্যয়গত অর্থ 'সংবাদ'। কিন্তু এর প্রচলিত অর্থ 'মিষ্টান্ন বিশেষ'। কাজেই 'সন্দেশ' রূঢ়ি শব্দ। হস্তী, তৈল, বাঁশি ইত্যাদি রূঢ়ি শব্দের উদাহরণ।
If x +1/x=3, then x-1/x=?
Correct Answer:
A: 5
The factors of x2-5x-6 are:
Correct Answer:
A: 9x-6)(x+1)
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
Explanation:
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 12.5 km / hr gullible (adjective): easily persuaded to believe something; credulous. "an attempt to persuade a gullible public to spend their money" Similar: credulous over - trusting over - trustful trustful easily deceived/led