mathematics MCQs
Showing 50 questions (Total: 16798)
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water ?
Correct Answer:
C: 1 hour 15 minutes
Explanation:
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water ? Correct Answer 1 hour 15 minutes Hints: Rate down stream = 1/10 × 60 km/hr = 6km/hr Rate up stream = 2 km/hr speed in still water = 1/2 (6 + 2)km/hr = 4 km/hr Required time = 5/4 hrs = 1 hrs 15 min
A water tank is two-fifth full. Pipe A can fill a tank on 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?
Correct Answer:
A: 6 min to empty
Explanation:
A water tank is two-fifth full. Pipe A can fill a tank on 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ? Correct Answer 6 min to empty Hints: Clearly, pipe B is faster than pipe A and So, the tank will be emptied.Part to be emptied = 2/5 part emptied by ( A + B) in 1 minute = 1/6 - 1/10 = 1/15 1/15 : 2/5 = 1/x 1/15 × 5/2 = 1/ x x = 30 /5 x = 6 So, tank will be emptied in 6 min
At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes?
Correct Answer:
D: 60mx/s
Explanation:
At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes? Correct Answer 60mx/s x মিনিট = 60x সেকেন্ড s সেকেন্ড যায় m মিটার 60x সেকেন্ড যায় ( m×60x) /s মিটার = 60mx / s মিটার
The sum of two numbers is 28/25 of the first number. The second number is what percent of the first ?
Correct Answer:
A: 12%
Explanation:
The sum of two numbers is 28/25 of the first number. The second number is what percent of the first ? Correct Answer 12% Hints : Let the numbers be x and y x + y = 28/25 × x y = 28x /25 - x y = 28x - 25x /25 y = 3x /25 So the second number is 3x /25 Now, percentage = 3x/25/x × 100 = 3x/25 × 1/x × 100% = 12%
A train 240m long passed a pole in 24 seconds. How long will it take to pass a platform 650m long ?
Correct Answer:
B: 89 sec
Explanation:
A train 240m long passed a pole in 24 seconds. How long will it take to pass a platform 650m long ? Correct Answer 89 sec Hints : The train requires. 24 seconds to pass its length Hence its speed is = 240 /24 m/s = 10 m/s To pass 650m long platform it will pass total ( 650 + 240) or 890 m So, time requires = 890/ 10 sec = 89 sec
How many prime numbers are less than 50 ?
Correct Answer:
B: 15
Explanation:
How many prime numbers are less than 50 ? Correct Answer 15 Hints : prime numbers less than 50: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 so total count is 15.
What is the smallest number to be subtracted from 549162 in order to make it a perfect square ?
Correct Answer:
D: 81
A gardener plants 17956 trees in such a way that there are as many rows as the number of trees in a row. What is the number of trees in a row ?
Correct Answer:
A: 134
Explanation:
A gardener plants 17956 trees in such a way that there are as many rows as the number of trees in a row. What is the number of trees in a row ? Correct Answer 134 Square root of 17956 will be the answer. √17956 = 134
Find the compound interest on Tk. 15,625 for 9 months at 16% per annum compounded quarterly.
Correct Answer:
C: Tk. 1951
Explanation:
Find the compound interest on Tk. 15,625 for 9 months at 16% per annum compounded quarterly. Correct Answer Tk. 1951 P = TK.15, 625, n = 9 months = 3 quarters, R = 16% p.a = 4% quarter. Amount = TK.[ 15625 × (1 + 4/100)2 = TK. (15626 × 26/25 × 26/25 × 26/25) = TK.17576 C.I = TK.(17576 - 15625) = TK.1951
Raina is twice as old as Saima. Three years ago, Raina was three times as old as Saima. How old is Raina now ?
Correct Answer:
B: 12 Years
Explanation:
Raina is twice as old as Saima. Three years ago, Raina was three times as old as Saima. How old is Raina now ? Correct Answer 12 Years Let Saima's age three years ago was xthen Raina's age was 3xNow Saima's age is (x + 3)then Raina's age is (3x + 3) A/Q, 3x + 3 = 2(x + 3)3x + 3 = 2x + 63x - 2x = 6 - 3x = 3Now Raina's age = (3x + 3) = (3*3 + 3) = 12
Two friends M and N have 40% and 60% shares in a business. After some time a third friend joined the business by investing Tk 5 Lac and acquired 20% shares in the business. What is the share of M in the business now ?
Correct Answer:
D: 32%
Out of 7500 candidates 75% were offered to study in Arts and 45% in Business. How many were offered both ?
Correct Answer:
D: 1500
The H.C.F of two number is 11 and their L.C.M is 693. If one of the numbers is 77 find the other.
Correct Answer:
A: 99
Explanation:
The H.C.F of two number is 11 and their L.C.M is 693. If one of the numbers is 77 find the other. Correct Answer 99 Hints Let another number = x We know, product of two number = HCF × LCM 77 × x = 693 × 11 x = 693 × 11 / 77 x = 99
Two numbers are in the ratio 5:4 and their difference is 10. What is the largest number ?
Correct Answer:
C: 50
Explanation:
Two numbers are in the ratio 5:4 and their difference is 10. What is the largest number ? Correct Answer 50 The ratio is 5ঃ4let the two numbers are 5x and 4xNow, 5x - 4x = 10x = 10The largest number is 5x = 5*10 = 50
The simple interest on a certain sum of money for 2 1/2 years at 12% per annum is TK. 40 less than the simple interest on the same interest on the same sum for 3 1/2 years at 10% per annum. Find the sum.
Correct Answer:
B: TK. 800
Explanation:
The simple interest on a certain sum of money for 2 1/2 years at 12% per annum is TK. 40 less than the simple interest on the same interest on the same sum for 3 1/2 years at 10% per annum. Find the sum. Correct Answer TK. 800 Hints : The simple interest on a certain sum of money for 2.5 year's at 12% per annum is TK.40 less than the simple interest on the same sum for 3.5 years at 10% per annum The simple interest on a certain sum of money for 2.5 years at 12% per aannum = pnr = 12 × 2.5 × x the simple interest on the same sum for 3.5 years at 10% per annum = pnr = 1 × 3.5 × x So, 12 × 2.5 × x + 40 = 1 × 3.5 × x 0.3x + 40 = 0.35 x o.35 x - 0.3x = 40 o.o5x = 40 x = 800
The sale price of an article including the sales tax is Tk. 616. The rate of sales tax is 10%. If the shopkeepers has made a profit of 12%, then the cost price of the article is :
Correct Answer:
A: Tk. 500
Explanation:
The sale price of an article including the sales tax is Tk. 616. The rate of sales tax is 10%. If the shopkeepers has made a profit of 12%, then the cost price of the article is : Correct Answer Tk. 500 Hints : Price excluding sales tax. 616 × 100/110 = 560 Cost = 560 × 100/112 = 500
What will be the compound interest on a sum of Tk. 25000 after 3 years at the rate of 12 p.c.p.a. ?
Correct Answer:
D: Tk. 10123.20
Explanation:
What will be the compound interest on a sum of Tk. 25000 after 3 years at the rate of 12 p.c.p.a. ? Correct Answer Tk. 10123.20 Hints : Amount = [ 25000 × ( 1 + 12/100)3] = ( 25000 × 28/25 × 28/25 × 28 /25) = 35123.20 C.I = ( 35123.20 - 25000) = 10123.20
Four persons can complete a job in 8 days. After four days two persons have left the work. How many days would it take for the remaining persons to complete the world ?
Correct Answer:
C: 8
If 4% of (P+Q) are 8 and P is a positive, what is the greatest possible value of Q?
Correct Answer:
D: 199%
Explanation:
If 4% of (P+Q) are 8 and P is a positive, what is the greatest possible value of Q? Correct Answer 199% (P + Q) × 4/100 = 8 P + Q = 200........ (1) এখানে, P এর মান সবচেয়ে কম ( ধনাত্মক সংখ্যা) হলে, Q এর মান সবচেয়ে বড় হবে। Q = 200 - 1 = 199
A zookeeper counted the heads of animal and found it to be 80. When he counted the legs of animals, he found the number to be 260. If the zoo had either Pigeons or horses, how many horses were there in the zoo ?
Correct Answer:
C: 50
Explanation:
A zookeeper counted the heads of animal and found it to be 80. When he counted the legs of animals, he found the number to be 260. If the zoo had either Pigeons or horses, how many horses were there in the zoo ? Correct Answer 50 Let the number of horse is xthen pigeons are (80 - x)A/Q, 4x + 2(80 - x) = 2604x + 160 - 2x = 2602x = 260 - 1602x = 100x = 50The number of horses is 50
2^30+2^30+2^30+2^30= ?
Correct Answer:
C: 2^32
A person crosses a 600m long street in 5 minutes. What is his speed in km per hour ?
Correct Answer:
B: 7.2
Explanation:
A person crosses a 600m long street in 5 minutes. What is his speed in km per hour ? Correct Answer 7.2 Hints : distance = 680 meter ; time = 5 minutes = 5 × 60 seconds = 300 seconds speed = distance / time = 600/300 = 2m/s = 2 × 18/5 km/hr = 7.2 km/hr
What is the sum of the squares of the digits from 1 to 9?
Correct Answer:
C: 285
Explanation:
What is the sum of the squares of the digits from 1 to 9? Correct Answer 285 12 + 22 + 32 + ........ + 92 n সংখ্যক স্বাভাবিক সংখ্যার বর্গের সমষ্টি = n(n + 1)(2n + 1) /6 = 9(9 + 1) ( 2×9 + 1)/6 = 9×10×19/6 = 285
The speed of a boat is 10km per hour(kph) and the speed of the river current is 5 kph. The boat traveled 5 hours in favour of the current and then returned to the stating point. What was the time to return ?
Correct Answer:
A: 15 hours
How many 1-inch square tiles would it take cover the floor of a closet that has dimensions 5 feet by 4 feet ?
Correct Answer:
D: 2880
Explanation:
How many 1-inch square tiles would it take cover the floor of a closet that has dimensions 5 feet by 4 feet ? Correct Answer 2880 Length 5 feet = (5*12) = 60 inches Width 4 feet = (4*12) = 48 inches Area = length * width = 60*48 = 2880 sq. inchTiles needed - 2880 sq. inch / 1 sq. inch = 2880 tiles
The average of six numbers is x and the average of three is y. If the average of the remaining three is z, then :
Correct Answer:
C: 2x=y+z
Explanation:
The average of six numbers is x and the average of three is y. If the average of the remaining three is z, then : Correct Answer 2x=y+z Hints: Average of 6 numbers = x sum of 6 numbers = 6x Average of the 3 numbers = y sum of the 3 numbers = 3y Average of the remaining 3 numbers = z sum of the remaining 3 numbers = 3z Now, we know that 6x = 3y + 3z 2x = y + z
If the difference between the circumference and diameter of a circle is 60 cm, then the radius of the circle is :
Correct Answer:
D: 14 cm
Explanation:
If the difference between the circumference and diameter of a circle is 60 cm, then the radius of the circle is : Correct Answer 14 cm We know, circumference = 2πrtherefore, diameter = 2r ATQ, 2πr - 2r = 60 or, 2r (π - 1) = 60 or, r = 60/2(π - 1) or, r = 14
If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is subtracted from the number and then it is divided by 5 ?
Correct Answer:
B: 10
Explanation:
If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is subtracted from the number and then it is divided by 5 ? Correct Answer 10 Hints : Let, the number be x x - 4 / 6 = 8 x = 6 × 8 + 4 = 52 Now, 52 - 2 / 5 = 50/ 5 = 10
What must be added to 1/x for making it equal to x ?
Correct Answer:
C: (x^2-1)/x
The price of a certain DVD is discounted by 10% and the reduced price is then discounted by another 10%. This series of successive discounts is equivalent to a single discount of :
Correct Answer:
B: 19%
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity profit is
Correct Answer:
A: 600 kg
Explanation:
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity profit is Correct Answer 600 kg ধরি, 18% profit - এ বিক্রি করে x Kg 8% profit এ বিক্রি করে ( 1000 - x) Kg (1000 - x) × 8/100 + x × 18/100 = 1000 এর 14/100 8000 - 8x + 18x = 14000 10x = 14000 - 8000 x = 6000/10 x = 600
How many rotations will the hour hand of a clock complete in 72 hours?
Correct Answer:
A: 6
Explanation:
How many rotations will the hour hand of a clock complete in 72 hours? Correct Answer 6 প্রতি ১২ ঘন্টায় ঘন্টায় কাঁটা ১ টি rotation সম্পন্ন করে। ৭২ ঘন্টায় ঘড়িটি ৭২/১২ টি বা ৬ টি rotation সম্পন্ন করে।
A car is driven at the speed of 100 km/hr and stops for 10 minutes at the end of every 150 km. To cover a distance of 1000 km, it will take.
Correct Answer:
A: 11 hours
Explanation:
A car is driven at the speed of 100 km/hr and stops for 10 minutes at the end of every 150 km. To cover a distance of 1000 km, it will take. Correct Answer 11 hours 150 ÷ 1000 = ভাগশেষ = 100, ভাগফল = 6 100 km/hr বেগে 1000 km অতিক্রম করে 10 ঘন্টায় । কিন্তু 150km পর পর থামার কারনে সময় ব্যায় হয়। ( 6 × 10) মিনিটে বা 60 মিনিট বা 1 ঘন্টা মোট সময় লাগে ( 10 + 1) = 11 ঘন্টা।
A 70cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimetres will the shorter piece be ?
Correct Answer:
C: 20
Explanation:
A 70cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimetres will the shorter piece be ? Correct Answer 20 Hints: Let the other price be of length x cm, so the shorter price = 2/5 of x = 2x / 5 Now, 2/5 x + x = 70 7/5 x = 70 x = 50 and 2/5 x = 2/5 × 50 = 20 cm
How long will a boy take to run round a square field of side 35 metres, if he runs at the rate of 9km/hr ?
Correct Answer:
D: 56 sec
Explanation:
How long will a boy take to run round a square field of side 35 metres, if he runs at the rate of 9km/hr ? Correct Answer 56 sec Hints: Total length to cover = 4 sides of the square = 4 × 35 meters 9km/hr = 9000m/ 60 × 60 sec Time taken = 4 × 35 × 60 × 60/ 9000 sec = 56 sec
A number is doubled and 9 is added. If the resultant is trebled, it beomes 75. What is that number?
Correct Answer:
C: 8
Explanation:
A number is doubled and 9 is added. If the resultant is trebled, it beomes 75. What is that number? Correct Answer 8 ধরি, সংখ্যাটি x ( 2x + 9) × 3 = 75 2x + 9 = 25 2x = 16 x = 8
The number 89715938* is divisible by 4. The unknown non-zero digit marked as* will be
Correct Answer:
A: 4
Explanation:
The number 89715938* is divisible by 4. The unknown non-zero digit marked as* will be Correct Answer 4 কোন সংখ্যার শেষ দুটি অঙ্ক ( দশক ও একক) দ্বারা গঠিত সংখ্যা 4 দ্বারা বিভাজ্য হলে উক্ত সংখ্যাটি 4 দ্বারা বিভাজ্য হবে। এর স্থানে 4 হলে দশক ও একক স্থানীয় অঙ্ক দ্বারা গঠিত সংখ্যা 84 যা 4 দ্বারা বিভাজ্য।
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is :
Correct Answer:
C: 111
Explanation:
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is : Correct Answer 111 Hints : Let the numbers be 37a and 37b Then, 37a × 37b = 4107 ab = 3 Now, Co primes with product 3 are (1, 3) So, the required numbers are (37 × 1, 37 × 3) = ( 37, 111) Areater number = 111
A person deposited Tk. 400 for 2 years, Tk. 550 for 4 years and Tk. 1200 for 6 years. He received the total simple interest of Tk. 1020. The rate of interest per annum is
Correct Answer:
A: 10%
Explanation:
A person deposited Tk. 400 for 2 years, Tk. 550 for 4 years and Tk. 1200 for 6 years. He received the total simple interest of Tk. 1020. The rate of interest per annum is Correct Answer 10% ধরি, সুদের হার r % 400 × 2 × r/100 + 550 × 4 × r/100 + 1200 × 6 × r/100 = 1020 8r + 22r + 72r = 1020 102r = 1020 r = 10 %
A trader buys some goods for Tk. 150. If the overhead expenses be 12% of cost price, then at what price should it be sold to earn 10%?
Correct Answer:
D: Tk. 184.80
Explanation:
A trader buys some goods for Tk. 150. If the overhead expenses be 12% of cost price, then at what price should it be sold to earn 10%? Correct Answer Tk. 184.80 দ্রব্যের ক্রয়মূল্য 150 টাকা অতিরিক্ত ব্যয়ভার ( 150 এর 12%) টাকা = ( 150 × 12/100) = 18 টাকা মোট খরচ ( 150 + 18) টাকা বা 168 টাকান 10% লাভে বিক্রয়মূল্য ( 168 + 168 এর 10%) = 168 + 16.8 = 184.80 টাকা
Which of the following is not a leap year ?
Correct Answer:
A: 700
Explanation:
Which of the following is not a leap year ? Correct Answer 700 Hints: The century divisible by 400 is a leap year 700 is not a leap year
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in :
Correct Answer:
B: 6 days
Explanation:
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in : Correct Answer 6 days ধরি, B এর সময় লাগে x দিন A এর সময় লাগে 2x দিন এবং, C এর সময় লাগে y দিন A এর সময় লাগে 3y দিন এখন, 2x = 3y y = 2x/3 A : B : C = 2x : x : 2x/3 = 6x : 3x : 2x A,B,C একত্রে 1 দিনে করে ( 1/6x + 1/3x + 1/2x) = 1/x অংশ 1/x = 1/2 x = 2 B কাজটি করে ( 3 × 2) = 6 দিনে।
The smallest 5-digit number exactly divisible by 41 is :
Correct Answer:
A: 10004
Explanation:
The smallest 5-digit number exactly divisible by 41 is : Correct Answer 10004 Hints: The smallest 5 digit number = 10000 এটা কে 41 দ্বারা ভাগ করলে ভাগশেষ থাকে 37 এখন, Required number = 10000 + (41 - 37) = 10004
If a man goes 18 km downstream in 4 hours and returns against the stream in 12 hours, then speed of the stream in km/hr is
Correct Answer:
B: 1.5
If the perimeter of a rectangular flower bed is 30 feet, and its area is 44 square feet, What is the length of each of its shorter sides ?
Correct Answer:
A: 4
The compound interest on Tk. 2800 for 18 months at 10% p.a. is
Correct Answer:
B: Tk. 434
Explanation:
The compound interest on Tk. 2800 for 18 months at 10% p.a. is Correct Answer Tk. 434 লোকটি স্রোতের অনুকূলে 4 ঘন্টায় যায় 18 km লোকটি স্রোতের অনুকূলে 1 ঘন্টায় যায় 18/4 km = 4.5 km লোকটি স্রোতের প্রতিকূলে 12 ঘন্টায় যায় 18km লোকটি স্রোতের প্রতিকূলে 1 ঘন্টায় যায় 18/12 = 1.5km ধরি, নৌকার বেগ x km/hr এবং স্রোতের বেগ y km/hr x + y = 4.5 x - y = 1.5 ( - ) = 2y = 3 y = 1.5
A,B,C hired a car for Tk. 520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were :
Correct Answer:
B: Tk. 160
Explanation:
A,B,C hired a car for Tk. 520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were : Correct Answer Tk. 160 Hints: Hire charges paid by B = 520 × 8/7 + 8 + 11 = 160 TK
If each side of a rectangle is increased by 50%, its area will increase by
Correct Answer:
B: 125%
Explanation:
If each side of a rectangle is increased by 50%, its area will increase by Correct Answer 125% ক্ষেত্রফল বৃদ্ধি পাবে [ 50 + 50 + ( 50×50 /100) ] % = 125%
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ?
Correct Answer:
B: 30
Explanation:
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ? Correct Answer 30 Hints : There is a meal for 200 children, 150 children have taken the meal. Remaining meal is to be catered to 50 children Now, 200 children = 120 men 50 children = ( 120/200 × 50) = 30 men
Find the missing numeral: (?-2763)/86*13=208
Correct Answer:
D: 4139
Explanation:
Find the missing numeral: (?-2763)/86*13=208 Correct Answer 4139 ধরি, শূণ্য স্থানের সংখ্যাটি x ( x - 2763) ÷ 86 × 13 = 208 ( x - 2763) = 208/13 × 86 x - 2763 = 1376 x = 1376 + 2763 x = 4139