mathematics MCQs
Showing 50 questions (Total: 16798)
A man walks 30 minutes at an average speed of 3 miles/hour. He waits 10 minutes for a bus, which bring him back to his starting point at 3:15. If he began his walk at 2:25 the same afternoon, find the average speed of the bus?
Correct Answer:
D: 9 mph
Explanation:
A man walks 30 minutes at an average speed of 3 miles/hour. He waits 10 minutes for a bus, which bring him back to his starting point at 3:15. If he began his walk at 2:25 the same afternoon, find the average speed of the bus? Correct Answer 9 mph Here, 2:25 pm to 3:15 pm = 50 minutes Time taken by bus = 50 - (30 + 10) = 10 minutes = 10/60 hour = 1/6 hour The man walked for = 30 minutes = 30/60 hour = 1/2 hour He walked = 3×1/2 = 3/2 miles So, speed of the bus = 3/2 ÷ (1/6) = 9 miles per hour
The angles of a triangle are in the ratio of 2 : 3 : 4. The largest angle in the triangle is :
Correct Answer:
D: 80 degree
Explanation:
The angles of a triangle are in the ratio of 2 : 3 : 4. The largest angle in the triangle is : Correct Answer 80 degree the sum of all angles of a triangle is 180 . 2x + 3x + 4x = 180 = > 9x = 180 = > x = 180/9 ∴ x = 20 the largest angle is 20×4 = 80 degree
If 5 students run a mile in 5 minutes, how much time will 50 students take to run a mile?
Correct Answer:
B: 5 minutes
Explanation:
If 5 students run a mile in 5 minutes, how much time will 50 students take to run a mile? Correct Answer 5 minutes 5 students take 5 minutes to run a mile.50 students also take same time to run a mile.
Mr. Rahim purchased one lot of shares (50 shares per lot) of company X for Tk. 5000 and sold 3/5th of it after its value doubled. He sold the remaining shares at a price 3 times higher than the original purchase price. What was his total profit?
Correct Answer:
D: Tk. 7000
Explanation:
Mr. Rahim purchased one lot of shares (50 shares per lot) of company X for Tk. 5000 and sold 3/5th of it after its value doubled. He sold the remaining shares at a price 3 times higher than the original purchase price. What was his total profit? Correct Answer Tk. 7000 Cost price per share = 5000/50 = 100 3/5 of the share = 30 share Sold 30 share at = 30 × (100 × 2) = 6000 tk Sold 20 share at = 20 × (100 × 3) = 6000 tk Profit = (6000 + 6000) 5000 = 7000 tk (ans)
Coffee A costs 75 cents per pound. It is mixed with Coffee B, which normally costs 80 cents per pound, to form a mixture that costs 78 cents per pound. If there are 10 pounds of the mix, how many pounds of Coffee A were used in the mix?
Correct Answer:
B: 4
Explanation:
Coffee A costs 75 cents per pound. It is mixed with Coffee B, which normally costs 80 cents per pound, to form a mixture that costs 78 cents per pound. If there are 10 pounds of the mix, how many pounds of Coffee A were used in the mix? Correct Answer 4 Let the amount of coffee A and coffee B mixed be A and (10 - A) pounds respectively. Now, A×75 + (10 - A)×80 = 10×78 or, 75A + 800 - 80A = 780 or, 80A - 75A = 800 - 780 or, 5A = 20 or, A = 4 pounds
Murad bought equal numbers of 20-paisa and 30-paisa stamps. If the total cost of the stamps was Tk. 10.00, What was the total number of stamps bought?
Correct Answer:
C: 40
Explanation:
Murad bought equal numbers of 20-paisa and 30-paisa stamps. If the total cost of the stamps was Tk. 10.00, What was the total number of stamps bought? Correct Answer 40 ধরা যাক মুরাদ x সংখ্যক ২০ পয়সা টিকেট এবং x সংখ্যক ৩০ পয়সা টিকেট কেনেছেন। একটি ২০ পয়সা টিকেটের দাম ০.২০ টাকা এবং একটি ৩০ পয়সা টিকেটের দাম ০.৩০ টাকা। সমস্ত টিকেটের মোট দাম ১০.০০ টাকা হলে, আমরা নিচের সমীকরণটি লেখতে পারি:0.20x + 0.30x = 10.00এই সমীকরণটি সহজ করতে, আমরা লিখতে পারি:0.50x = 10.00সুতরাং,x = 10.00 / 0.50x = 20তাই মুরাদ ২০টি ২০ পয়সা টিকেট এবং ২০টি ৩০ পয়সা টিকেট কেনেছেন, মোটমতে ৪০টি টিকেট কেনা হয়েছে।
A pen was sold at 15% loss. If the selling price was Tk. 8 more , then the seller could have made a profit of 10% . what was the purchase price of pen?
Correct Answer:
B: 32
Explanation:
A pen was sold at 15% loss. If the selling price was Tk. 8 more , then the seller could have made a profit of 10% . what was the purchase price of pen? Correct Answer 32 Let, Purchase price = Tk.x At 15% loss SP = Tk.(17x/20) At 10% profit SP = Tk.(11x/10) As per question , (17x/20) + 8 = (11x/10) Or, 5x = 160 Or, x = 32 Therefore, the required value = Tk.32
What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed among 6,7 or 8 persons?
Correct Answer:
B: 72
Explanation:
What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed among 6,7 or 8 persons? Correct Answer 72 The least common multiple of 6, 7 and 8 is 168. To distribute the apples among the persons, the number of apples must be multiple of 168. Now, twice of 168 = 168×2 = 336. So, minimum number of apples must be added = 336 - 264 = 72
If 15 men working independently and at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men working independently and at the same rate manufacture in 40 minutes?
Correct Answer:
D: 54
Explanation:
If 15 men working independently and at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men working independently and at the same rate manufacture in 40 minutes? Correct Answer 54 Here, 1 hour = 60 minutes Now, 15 men in 60 minutes can manufacture 27 baskets Then, 45 men in 40 minutes can manufacture = 27×45×40/(15×60) = 54 baskets
The difference between two positive numbers is 16. If the smaller of these two numbers is 3/5 of the larger, what is the value of the smaller number?
Correct Answer:
B: 24
Explanation:
The difference between two positive numbers is 16. If the smaller of these two numbers is 3/5 of the larger, what is the value of the smaller number? Correct Answer 24 Let the larger and smaller numbers be X and 3X/5 respectively. Then, X - 3X/5 = 16 or, (5X - 3X)/5 = 16 or, 2X = 80 or, X = 40 So, the smaller number, 3X/5 = 3×40/5 = 24
If 2x=7 and 3y=2, then what is 9xy?
Correct Answer:
C: 21
Explanation:
If 2x=7 and 3y=2, then what is 9xy? Correct Answer 21 (2x)(3y) = 7×2 = > 6xy = 14 Multiply both sides by 3/2 ∴9xy = 21
What value of x satisfies the equation x-1 = 1-x?
Correct Answer:
B: 1
Explanation:
What value of x satisfies the equation x-1 = 1-x? Correct Answer 1 Here, x - 1 = 1 - x or, x + x = 1 + 1 or, 2x = 2 or, x = 1
A car wash center washes 10 cars in half an hour . At this rate how many cars can wash in 4 hours?
Correct Answer:
D: 80
Explanation:
A car wash center washes 10 cars in half an hour . At this rate how many cars can wash in 4 hours? Correct Answer 80 In 1/2 hr car center washes 10 cars so, " 4hr " " " ( 10 * 2 * 4)/1 = 80 cars.
In redesigning a cold storage, the length is increased by 30% , the breadth is increased by 50% and the height is reduced by 20% . what is the net increase in the volume of the redesigned cold storage compared to the previous design?
Correct Answer:
B: 56%
Explanation:
In redesigning a cold storage, the length is increased by 30% , the breadth is increased by 50% and the height is reduced by 20% . what is the net increase in the volume of the redesigned cold storage compared to the previous design? Correct Answer 56% Let, length, width and height of the cold storage are respectively l, w and h. so, volume = lwh New length = l + 30/100 l = 1.3 l New width = w + 50/100 w = 1.5 w New height = h - 20/100 h = 0.8 h so, new volume = 1.3 l * 1.5w * 0.8 h = 1.56 lwh increase in volume = (1.56 - 1)lwh = 0.56 lwh percentage increase in volume = 0.56 * 100% = 56%.
If the total surface area of a cube is 24, what is the volume of the cube?
Correct Answer:
A: 8
Explanation:
If the total surface area of a cube is 24, what is the volume of the cube? Correct Answer 8 Let the side of the cube be a. Then, surface area, 6a2 = 24 or, a2 = 24/6 = 4 or, a = √4 = 2 So, volume of the cube, a3 = 23 = 8
A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 of that day. How much profit will the company make in a day when sales are Tk. 6,000?
Correct Answer:
C: 335
Explanation:
A company makes a profit of 6% on its first Tk. 1,000 of sales each day and Tk. 55 per thousand on all sales in excess of Tk. 1,000 of that day. How much profit will the company make in a day when sales are Tk. 6,000? Correct Answer 335 Profit on first 1000 TK sale = 6% of 1000 = 60 TK. Profit on the rest (6000 - 1000 = 5000) TK sale = 55×5000/1000 = 275 TK. Total profit = 60 + 275 = 335 TK
The sum of 6 consecutive odd integers exceeds twice the biggest integer integer by 38. Find sum of the six numbers?
Correct Answer:
B: 72
Explanation:
The sum of 6 consecutive odd integers exceeds twice the biggest integer integer by 38. Find sum of the six numbers? Correct Answer 72 let, 6 consecutive odd integer are: 2n - 5, 2n - 3, 2n - 1, 2n + 1, 2n + 3, 2n + 5. so, (2n - 5) + (2n - 3) + (2n - 1) + (2n + 1) + (2n + 3) + (2n + 5) = 2.(2n + 5) + 38 বা, 12n = 4n + 10 + 38 বা, 8n = 48 so, n = 6 sum of six numbers = 12 * 6 = 72
Four partners distribute their income amongst themselves in the proportions 1:2:3:4. What percent of the income is received by the first partner?
Correct Answer:
C: 10
Explanation:
Four partners distribute their income amongst themselves in the proportions 1:2:3:4. What percent of the income is received by the first partner? Correct Answer 10 Income received by the first person = 1 / (1 + 2 + 3 + 4) × 100% = 10%
B and C are points on a straight line AD, where AB= BC=CD . What percent of AC is AD?
Correct Answer:
C: 66.7%
Explanation:
B and C are points on a straight line AD, where AB= BC=CD . What percent of AC is AD? Correct Answer 66.7% AC/AD = 2/3 = 2/3 * 100 = 66.70%
If the following series continues to follow the same pattern, what will be the next number: 2 ,6 , 3, 9,6 .....?
Correct Answer:
C: 18
Explanation:
If the following series continues to follow the same pattern, what will be the next number: 2 ,6 , 3, 9,6 .....? Correct Answer 18 2, 6, 3, 9, 6.............? 1st number = 2, 3rd number = 2 + 1 = 3, 5th number = 3 + 3 = 6 again, 2nd number = 6, 4th number = 6 + 3 = 9 and 6th number = 9 + 9 = 18
If 2x+7 =12, then what is 4x-7?
Correct Answer:
C: 3
Explanation:
If 2x+7 =12, then what is 4x-7? Correct Answer 3 ATQ, 2x + 7 = 12 So, x = (12 - 7)/2 = 5/2. Now, 4x - 7 = (4×5)/2 - 7 = 3
15 students took a test that was scored from 0 to 100. If exactly 10 students scored 75 of more on the test, find the lowest possible value for the average of the scores of all 15 students.
Correct Answer:
B: 50
Explanation:
15 students took a test that was scored from 0 to 100. If exactly 10 students scored 75 of more on the test, find the lowest possible value for the average of the scores of all 15 students. Correct Answer 50 Total score of 10 students if scored exactly 75 each = 10×75 = 750 Total score of 5 student if scored minimum or 0 = 0 Total score of 10 + 5 = 15 students = 750 + 0 = 750 Average of the 15 students = 750 / 15 = 50
An employer pays 3 workers X, Y and Z a total of Tk. 610 a week. X is paid 125% of the amount Y is paid and 80% of amount Z is paid. How much does X make a week?
Correct Answer:
B: 200
Explanation:
An employer pays 3 workers X, Y and Z a total of Tk. 610 a week. X is paid 125% of the amount Y is paid and 80% of amount Z is paid. How much does X make a week? Correct Answer 200 Let their payments be X, Y and Z respectivey. Now, X = 125/100 of Y or, Y = 100/125 of X = 4X/5 Again, X = 80/100 of Z or, Z = 100/80 of X = 5X/4 Now, X + Y + Z = 610 or, X + 4X/5 + 5X/4 = 610 or, (20X + 16X + 25X) / 20 = 610 or, 61X = 610 × 20 or, X = 610 × 20 / 61 = 200 TK
what percent of 25 is 0.2 0?
Correct Answer:
C: 0.8
Explanation:
what percent of 25 is 0.2 0? Correct Answer 0.8 let x% of 25 is 0.2 so, x/100 * 25 = 0.2 so, x = 0.8
If the average of 9 consecutive integers is 0, what is the average of the last 4 of these integers?
Correct Answer:
C: 2.5
Explanation:
If the average of 9 consecutive integers is 0, what is the average of the last 4 of these integers? Correct Answer 2.5 রক্ত দানের পর শারীরিকভাবে দুর্বল অনুভূত হতে পারে। আর ক্লান্তি বা ঘুম ঘুম ভাব আসে সাধারণত পরিশ্রম করার পর। সুতরাং অর্থ অনুযায়ী (b) - ই সঠিক উত্তর।
In a class of 120 students. 60 percent can speak English and the rest can speak only Bengali. If 25 percent of those in the class who can speak English can also speak Bengali, how many of the students in the class can speak Bengali?
Correct Answer:
C: 66
Alam weighs twice as much as much as Marina. Marina's weight is 60% of Robin's weight. Drabir weight 50% of Lima's weight. Lima weight 190% of Alam's weight. Which of these 5 people weight the least?
Correct Answer:
D: Marina
If x/y = 3/4, then what is the value of x+y/y?
Correct Answer:
D: 7/4
Explanation:
If x/y = 3/4, then what is the value of x+y/y? Correct Answer 7/4 প্রশ্নোক্ত Sentence টি Present Indefinite Tense এ থাকায় ‘always’ - ই সঠিক। কারণ ‘always’ Present Indefinite Tense - কে নির্দেশ করে। এছাড়া ‘every week’ উক্ত tense কে নির্দেশ করলেও তা বাক্যের অর্থের সাথে সামঞ্জস্যপূর্ণ নয়।
Mr. Karim deposited Tk. 800 in a bank at 15% annual compound interest rate . At the end of the second year ,the total amount including the interest will be:
Correct Answer:
D: 1058
Explanation:
Mr. Karim deposited Tk. 800 in a bank at 15% annual compound interest rate . At the end of the second year ,the total amount including the interest will be: Correct Answer 1058 We know, principal with compound interest, C = P(1 + r)n = 800(1 + 15/100)2 = 800×1.152 = 1058 TK
If the radius of a circle is decreased by 30 percent, by what percent will the area of the circular region decrease?
Correct Answer:
C: 51%
Explanation:
If the radius of a circle is decreased by 30 percent, by what percent will the area of the circular region decrease? Correct Answer 51% Initial radius = R Initial area = π R2 New radius = R - 30% of R = R - 0.3R = 0.7R New area = π (0.7R)2 = 0.49 π R2 Decrease in area = (πR2 - 0.49πR2) / (πR2) × 100% = 51%
Out of total profit , A gets 40% , B 25% , c 20% , D 10% and E 5% . what percentage of B's profit is that of A?
Correct Answer:
B: 160%
Explanation:
Out of total profit , A gets 40% , B 25% , c 20% , D 10% and E 5% . what percentage of B's profit is that of A? Correct Answer 160% 40/25 * 100% = 160%
In a library system with 6 branches, 60 workers are employed. If no library has fewer than 7 workers and no more than 11, what is the minimum number of workers in any 2 of the branches?
Correct Answer:
C: 16
Explanation:
In a library system with 6 branches, 60 workers are employed. If no library has fewer than 7 workers and no more than 11, what is the minimum number of workers in any 2 of the branches? Correct Answer 16 Maximum number of workers possible to remain in any 4 branches = 4×11 = 44 Workers remaining = 60 - 44 = 16 which can be divided between the two remaining branches in such a way that there is no fewer than 7 workers in any of the two branches. So, minimum 16 workers can remain in any 2 branches.
If 8 men can do a job in 12 days, what is the percentage change in the number of days required to do the job if 2 men are released?
Correct Answer:
D: 33.33%
Explanation:
If 8 men can do a job in 12 days, what is the percentage change in the number of days required to do the job if 2 men are released? Correct Answer 33.33% Remaining men = 8 - 2 = 6 8 men can do the job in 12 days So, 6 men can do te job in 12×8/6 = 16 days Increase percentage in number of days = (16 - 12) / 12 × 100% = 33.33%
A picnic was attended by 240 persons . There were 20 more men than women and 20 more adults than children .How , many men were there in the picnic?
Correct Answer:
D: 130
Explanation:
A picnic was attended by 240 persons . There were 20 more men than women and 20 more adults than children .How , many men were there in the picnic? Correct Answer 130 Let, Number of women x so, Number of men = x + 20 so, x + x + 20 = 240 বা, 2x = 220 বা, x = 110 Number of women 110 and Number of men = 110 + 20 = 130
A watch was sold at 15% loss. If the selling price was Tk 8 more , then the seller could have made a profit of 10% what was the purchase price of that watch?
Correct Answer:
B: 32
Explanation:
A watch was sold at 15% loss. If the selling price was Tk 8 more , then the seller could have made a profit of 10% what was the purchase price of that watch? Correct Answer 32 Shortcut method Purchase price or cost = (100×more) / 1st% u 2nd% = (100×8) / ( 15 + 10) = 800/25 = 32
what past of an hour elapses between 11:40 a. m. and 12: 20 p.m. ?
Correct Answer:
A: 2/3
Explanation:
what past of an hour elapses between 11:40 a. m. and 12: 20 p.m. ? Correct Answer 2/3 11:40am to 12:20pm = 20min + 20 min = 40 min Part of an hour elapse = 40min /60 min = 2/3
You can now buy 5 more Mangoes with Tk. 75 due to reduction in price by 20 percent. Calculate the current price of one dozen of Mangoes.
Correct Answer:
C: 36
Explanation:
You can now buy 5 more Mangoes with Tk. 75 due to reduction in price by 20 percent. Calculate the current price of one dozen of Mangoes. Correct Answer 36 For Tk.100 reduction in price Tk.20 For Tk.75. " " " (20 * 75)/100 Price of 5 mangoes is tk 15 " " 12 " " (15 * 12)/5 = Tk.36
A train went 300 miles from City X to City Y at an average speed of 80 mph. At what speed did it travel on the way back if its average speed for the whole trip was 100 mph?
Correct Answer:
C: 133.33 mph
Explanation:
A train went 300 miles from City X to City Y at an average speed of 80 mph. At what speed did it travel on the way back if its average speed for the whole trip was 100 mph? Correct Answer 133.33 mph Average speed for same distance is given by (2×v1×v2)/(v1+v2)So, (2×80×v2)/80+v2=100160×v2=8000+100×v260×v2=80003×v2=400v2=400/3 =133.33 Ans : 133.33 mph
If x +y =6 y +z = 4 and z +x = 2 then 2y -z -x ?
Correct Answer:
D: 6
Explanation:
If x +y =6 y +z = 4 and z +x = 2 then 2y -z -x ? Correct Answer 6 Given, x + y = 6 y + z = 4 z + x = 2 so, 2(x + y + z) = 12 বা, x + y + z = 6 বা, y + 2 = 6 so, y = 4 2y - z - x = 2 * 4 - 2 = 6
A farmer had 20 hens. All but 2 died. How many hens are still alive?
Correct Answer:
A: 2
Explanation:
A farmer had 20 hens. All but 2 died. How many hens are still alive? Correct Answer 2 All but 2 died means only 2 survived.
If X is an odd integer and Y is an even integer, which of the following statements is (are) always true? 1. X+Y is odd 2. XY is odd 3. 2X+Y is even
Correct Answer:
A: 1 only
Explanation:
If X is an odd integer and Y is an even integer, which of the following statements is (are) always true? 1. X+Y is odd 2. XY is odd 3. 2X+Y is even Correct Answer 1 only 1. Addition of odd and even integers yields odd intgers. Example: 4 + 3 = 7. So, statement 1 is true. 2. Multiplication of odd and even integers yields even integers. Example: 4x3 = 12. So, statement 2 is false. 3. 2x is even and y is also even. So, 2x + y is even. Therefore, statement 3 is true.
per day wage rate of workers is reduced 50% due to economic slowdown. After one year, the wage rate is increased by 60% . If the per day wage rate before the decrease was Tk. 100, then what is the per day wage rate now?
Correct Answer:
D: 80
Explanation:
per day wage rate of workers is reduced 50% due to economic slowdown. After one year, the wage rate is increased by 60% . If the per day wage rate before the decrease was Tk. 100, then what is the per day wage rate now? Correct Answer 80 After 50% reduce New wage = 100 - (50/100) * 100 = Tk.50 After 60% increased New wage = 50 + 60/100 * 50 = Tk.80
Taxi fare is charged at Tk. 15 per mile plus Tk. 150 for a trip. If the total fare by taxi is Tk. 600 . then what is the distance covered in miles by the trip?
Correct Answer:
A: 30
Explanation:
Taxi fare is charged at Tk. 15 per mile plus Tk. 150 for a trip. If the total fare by taxi is Tk. 600 . then what is the distance covered in miles by the trip? Correct Answer 30 600 - 150 = Tk.450 Distance = 450/15 = 30 mile
Sum of the two numbers is 21 and their difference is 7. what is the half of the greater number ?
Correct Answer:
A: 7
Explanation:
Sum of the two numbers is 21 and their difference is 7. what is the half of the greater number ? Correct Answer 7 Let, greater number x lower number y x + y = 21 x - y = 7 so, 2x = 28 so, x = 14 x/2 = 7
Business Partners, A, B and C agree to divide their total profit for the year in the ratios 4 : 7 : 8 respectively. If A's share of the profit is Tk. 16,000, what was the total profit of the business partners for the year?
Correct Answer:
C: Tk. 76,000
Explanation:
Business Partners, A, B and C agree to divide their total profit for the year in the ratios 4 : 7 : 8 respectively. If A's share of the profit is Tk. 16,000, what was the total profit of the business partners for the year? Correct Answer Tk. 76,000 Let the total profit be P. Then, A's share, 4 / (4 + 7 + 8) × P = 16000 or, P = 16000 × 19 / 4 = 76000 TK
If 4 is subtracted from one - fourth of a number , the result is 20. The number is
Correct Answer:
D: 96
Explanation:
If 4 is subtracted from one - fourth of a number , the result is 20. The number is Correct Answer 96 Let, the number x x/4 - 4 = 20 বা, x/4 = 24 so, x = 96
Out of total profit, A gets 40% , B 25% , C 20% , D 10% and E 5% . A's profit is what percentage of that of B?
Correct Answer:
B: 160%
Explanation:
Out of total profit, A gets 40% , B 25% , C 20% , D 10% and E 5% . A's profit is what percentage of that of B? Correct Answer 160% Lets, A profit is x% of that of B so, 40% = x of 25 % 40/100 = x/100 of 25 /100 40/100 = (x×25) /(100×100) x × 25 = ( 40×100×100) /100 x = ( 4×100)/25 x = 160
A wholesaler sells goods to a retailer at a profit of 20%. The retailer sells to the customer, who pays 80% more than the cost of the wholesaler. What is the retailer's profit?
Correct Answer:
C: 50%
If 4x is 9 greater than the sum of x and 3y, then x is how much greater than y?
Correct Answer:
A: 3
Explanation:
If 4x is 9 greater than the sum of x and 3y, then x is how much greater than y? Correct Answer 3 Here, 4x = x + 3y + 9 or, 4x - x - 3y = 9 or, 3x - 3y = 9 or, 3(x - y) = 9 or, (x - y) = 9/3 = 3 So, x is 3 greater than y.
Divide 60 by half and deduct twenty . what do you get?
Correct Answer:
B: 100
Explanation:
Divide 60 by half and deduct twenty . what do you get? Correct Answer 100 60/(1/2) - 20 = 120 - 20 = 100