mathematics MCQs
Showing 50 questions (Total: 16798)
Suppose today is Friday. What day of the week will it be 65 days from now?
Correct Answer:
A: Saturday
A median of a traingle divides it into two __
Correct Answer:
B: triangles of equal area
which of the following angle can be constructed with the help of a ruler and a pair of compasses?
Correct Answer:
D: 47.5°
If a +1, 2a +1 , 4a-1 are in Arithmetic Progression then the value of 'a' is :
Correct Answer:
B: 2
The ratio of two numbers is 9:15. If the former number is 36 then the next number is:
Correct Answer:
B: 60
which line is parallel to y = x -2?
Correct Answer:
B: 2y = 2x -6
The area of a triangle with sides 3 cm , 5 cm and 6 cm is __
Correct Answer:
C: 214cm2
The pair of co-prime numbers is __
Correct Answer:
A: 2,3
In a certain city 40% of the people have black hair, 25% have black eyes and 10% have both black hair and black eyes. What percentage of the people in the city have neither black hair nor black eyes?
Correct Answer:
C: 45
If a commission of 10% is given to the customer on the catalog price of a book, the publisher gains 20%. If the commission is increased to 155, the gain is:
Correct Answer:
B: 13.33%
If Shamim were twice as old as he is now, he would be 40 years older than kamal. If Kamal is 10 years younger than Shamim, how old is Shamim now?
Correct Answer:
B: 30
A car travels 330 miles in 6 hours, while the return trip takes 5 hours. What is the average speed i miles per hour for the entire trip?
Correct Answer:
D: 60
If a, b and c are the lengths of the three sides of a triangle , then which of the following is true?
Correct Answer:
B: a-b
What is the value of x if the average of 105, 117, 125 and x is 115?
Correct Answer:
A: 113
If(5x-9) =51, then 7x+2=?
Correct Answer:
D: 86
The perimeter of a rectangle is 84 meters, and its length is 10 meters more than its width. What is the width of the rectangle?
Correct Answer:
B: 16
A chair costs Taka 24,050 after 7.5 percent discount.What was its catalog price?
Correct Answer:
A: 26,000
There are 5 red and 3 black balls in a bag. Probability of drawing a black ball is __
Correct Answer:
C: 3/8
If a, b and c are 3 consecutive integers and a>b>c, Which of the follwoing has the maximum value?
Correct Answer:
D: a+(b/c)
Explanation:
If a, b and c are 3 consecutive integers and a>b>c, Which of the follwoing has the maximum value? Correct Answer a+(b/c) As a is the greater number, adding a to any fraction of the given choice will have the maximum value. so, a + (b/c) has the maximum value.
The value of k, if (x -1) is a factor of 4x3 + 3x2-4x+k, is __
Correct Answer:
C: -3
The total surface area of a hemisphere of radius r is __
Correct Answer:
C: 2πr2
Average cost of 5 apples and 4 mangoes is 36 taka. The average cost of 7 apples and 8 mangoes is 48 taka. Find the total cost of 24 apples and 24 mangoes .
Correct Answer:
B: 2088
Sam can mow a lawn in 20 min, while takes 10 min 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 takes 10 min longer to mow the same lawn. How long will they take to mow the lawn if they work together? Correct Answer 12 min In 1 minute, Sam mows 1/20 of the lawn In 1 minute, Mark mows 1/(20 + 10) = 1/30 of the lawn (1/20 + 1/30) = 5/60 = 1/12 of the lawn takes 1 minute So, whole(1) lawn takes 12 minutes
If two planes leave the same airport at 1:00 pm, how many km apart will they at 3:00 one traverls directly at 150 km/h and the other travels directly west at 200 km/h?
Correct Answer:
B: 500 km
Explanation:
If two planes leave the same airport at 1:00 pm, how many km apart will they at 3:00 one traverls directly at 150 km/h and the other travels directly west at 200 km/h? Correct Answer 500 km Difference of time = 3:00 pm 1:00 pm = 2 hrs First plane travels in 2 hrs = 2×150 = 300 km Second plane travels in 2 hrs = 2×200 = 400 km The directions of the planes forms a right angle triangle So, the direct distance = √(3002 + 4002) = √250000 = 500 km
If secθ + tanθ =x , then tanθ is __
Correct Answer:
D: (x^2-1)/2x
A two digit number has 3 in its unit digit. The sum its digits is one seventh of the number itsself. What is the number?
Correct Answer:
B: 63
Explanation:
A two digit number has 3 in its unit digit. The sum its digits is one seventh of the number itsself. What is the number? Correct Answer 63 Let, The number = 10x + 3 ATQ, 7(x + 3) = 10x + 3 ⇒7x + 21 = 10x + 3 ⇒21 - 3 = 10x 7x ⇒3x = 18 ⇒x = 6 The number = 10 × 6 + 3 = 63.
Quantity in A = (913)2 and Quantity B =(913)12
Correct Answer:
C: Quantity B is greater
If an inspector rejects 0.8% of a product as defective, how many units of the produce? will he examined in order to rejected 2?
Correct Answer:
D: 2500
Explanation:
If an inspector rejects 0.8% of a product as defective, how many units of the produce? will he examined in order to rejected 2? Correct Answer 2500 0.08% product is rejected from = 100 So, 2 product is rejected from = (100 × 2 × 100)/8 = 2500
A wholesaler sells goods to a retiler at profilt of 20%. The retailer sells to the customs ,Who pays 80% more than the cost of the wholesaler . What is the relater's profit?
Correct Answer:
B: 50%
Explanation:
A wholesaler sells goods to a retiler at profilt of 20%. The retailer sells to the customs ,Who pays 80% more than the cost of the wholesaler . What is the relater's profit? Correct Answer 50% Let cost of wholesaler = 100tk At 20% profit he sells = 120tk = the cost of retailer Retailer sell it for 80% profit on cost of wholesaler = 100 + 100×(80/100) = 180 tk Profit of retailer = 180 - 120 = 60 tk Percentage = (60×100)/120 = 50%
A train went 300 km from City to city at an average speed of 100 km/h. At what speed did it travel on the way back if/his its average speed for the whole trip was 120 km/h
Correct Answer:
D: 150 km/h
Explanation:
A train went 300 km from City to city at an average speed of 100 km/h. At what speed did it travel on the way back if/his its average speed for the whole trip was 120 km/h Correct Answer 150 km/h Let, Way back speed = x ATQ, 2×x×100/(x + 100) = 120 Or, 200x/(x + 100) = 120 Or, 200x = 120x + 12000 Or, 80x = 12000 Or, x = 150
The roots of the equation 9x2 -bx+81 =0 will be equal , if the value of b is
Correct Answer:
D: ±54
The present age of A and B are in the ratio 6 : 4 Five years ago their ages were in the ratio 5 : 3 . Find their present ages.
Correct Answer:
C: 30,20
Hasan sold an article for 56 taka which cost him x taka. If he had gained x% on his outlay , what was his cost ?
Correct Answer:
A: 40 taka
A predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting its food.?
Correct Answer:
D: Can't be determined
Of two groups of tourists, each has 60 people/. If threee fourth (i.e 75%) of the first group and two third of the second group board buses to travel to a museum. How many more people of the first group board buses than that of the second group?
Correct Answer:
B: 5
Explanation:
Of two groups of tourists, each has 60 people/. If threee fourth (i.e 75%) of the first group and two third of the second group board buses to travel to a museum. How many more people of the first group board buses than that of the second group? Correct Answer 5 ¾ of first group = ¾ of 60 = 45 2/3 of 2nd group = 2/3 of 60 = 40 Difference = 45 - 40 = 5
Six consecutive whole numbers are given. The sum of the first three numbers is 27 What is the sum of the last three numbers?3
Correct Answer:
C: 36
Explanation:
Six consecutive whole numbers are given. The sum of the first three numbers is 27 What is the sum of the last three numbers?3 Correct Answer 36 Let, Numbers are n, n + 1, n + 2 ATQ, n + n + 1 + n + 2 = 27 Or, 3n + 3 = 27 Or, 3n = 24 Or, n = 8 So, the numbers are - 8,9,10 Now, the last 3 consecutive numbers are 11,12,13 Sum of them 11 + 12 + 13 = 36
Quantity A 4100 and Quantity B=0.0123
Correct Answer:
C: Quantity A is greater
If an integer y is subtracted from an integer x, and the result is grater than x, then y must be.
Correct Answer:
B: less than 0
Explanation:
If an integer y is subtracted from an integer x, and the result is grater than x, then y must be. Correct Answer less than 0 ATQ, x - y>x Or, - y > 0 Or, y < 0
A 10% monthly salary increase resulted in a Tk. 9000 per year increase in salary for an employee. What was his monthly salary before the increase ?
Correct Answer:
A: Tk. 7500
Explanation:
A 10% monthly salary increase resulted in a Tk. 9000 per year increase in salary for an employee. What was his monthly salary before the increase ? Correct Answer Tk. 7500 Yearly increase = 9000 tk Monthly increase = 9000/12 = 750 tk 10% of Salary is = 750 tk 100% of Salary is = (750×100)/10 = 7500 tk
A hammer and a screwdriver currently have the same price. If the price of a hammer rises by 6% and the price of a screwdriver goes up by 4%, how much more will it cost to buy 1 hammer and 1 screwdriver?
Correct Answer:
A: 5%
Explanation:
A hammer and a screwdriver currently have the same price. If the price of a hammer rises by 6% and the price of a screwdriver goes up by 4%, how much more will it cost to buy 1 hammer and 1 screwdriver? Correct Answer 5% perquisite (noun): perk, fringe benefit, additional benefit, benefit, advantage, bonus.
৪% হার মুনাফায় কেোন টাকার ২ বছরের মুনাফা ও চক্রবৃদ্ধি মুনাফার পার্থক্য ১ টাকা হলে, মূলধন কত?
Correct Answer:
গ: ৬২৫ টাকা
দুই অঙ্কবিশিষ্ট একটি সংখ্যার একক স্থানীয় অঙ্ক দশক স্থানীয় অঙ্কের তিনগুণ। দশক স্থানীয় বিনিময় সংখ্যটি কত?
Correct Answer:
খ: 93
Three individuals contributed Tk. 8000 each toward the purchase of a computer. If they bought the computer on sale for Tk. 19500 plus 10% sales tax, how much money should be refunded to each individual ?
Correct Answer:
B: Tk. 850
Explanation:
Three individuals contributed Tk. 8000 each toward the purchase of a computer. If they bought the computer on sale for Tk. 19500 plus 10% sales tax, how much money should be refunded to each individual ? Correct Answer Tk. 850 Total contribution = 3 x 8000 = 24000 TK Cost of computer = 19500 + 10% of 19500 = 19500 + 1950 = 21450 TK. Excess contribution = 24000 - 21450 = 2550 TK. Refund to each = 2550/3 = 850 TK.
How much interest will Tk. 1000 earn in one year at an annual interest rate of 20% if interest rate is compounded every 6 months?
Correct Answer:
D: 210
Explanation:
How much interest will Tk. 1000 earn in one year at an annual interest rate of 20% if interest rate is compounded every 6 months? Correct Answer 210 A = P ( 1 + r/2)2n and, C.I = A - P Where, P = principal R = rate in percent p.a.( per annum i.e. annually) n = number of years. Here, P = 1000, R = 20% and n = 1 year. Amount after 1 year = P ( 1 + r/2)2n = 1000 ( 1 + 0.20/2)2*1 = 1000 ( 1 + 0.1)2 = 1000 (1.1)2 = 1000 x 1.21 Amount = 1210 ∴Compounded Interest = A−P. C.I = 1210−1000 C.I = 210
If x and y are consecutive positive integers which of the following must be an even integer?
Correct Answer:
D: xy
Explanation:
If x and y are consecutive positive integers which of the following must be an even integer? Correct Answer xy As x and y are consecutive positive integers. Let , x = 1 and y = 2, As we know that, odd × even = even so, xy = 1×2 = 2
Point A is 10 miles west of Point B. Point B is 30 miles North of Point C. Point C is 20 miles East of Point D. what is the distance between points A and D?
Correct Answer:
A: 1010
Explanation:
Point A is 10 miles west of Point B. Point B is 30 miles North of Point C. Point C is 20 miles East of Point D. what is the distance between points A and D? Correct Answer 1010 AD2 = 302 + 102 AD2 = 900 + 100 AD = √1000 = 10√10
tan θ = 3 / 4 হলে sin θ এর মান কত?
Correct Answer:
খ: 3/5
A mixture of 20 sprit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%
Correct Answer:
B: 4
Explanation:
A mixture of 20 sprit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25% Correct Answer 4 Now water is 2 L and Spirit 18 L Let's add x L of water, so 1/4 = (2 + x)/(20 + x) x = 4 L
৬০ লিটার পানিও চিনির মিশ্রনের অনুপাত ৭ঃ৩ । ঐ মিশ্রণে আর কত লিটার চিনি মিশালে অনুrfপত ৩ঃ৭ হবে?
Correct Answer:
গ: ৮০ লিটার
An article when sold at a gain of 5% yields Tk. 15 more than when sold at a loss of 5%. Its cost price would be__
Correct Answer:
B: Tk. 150
Explanation:
An article when sold at a gain of 5% yields Tk. 15 more than when sold at a loss of 5%. Its cost price would be__ Correct Answer Tk. 150 At, 5% gain, selling price = 105 Tk. Again, 5% loss, then selling price = 95tk Difference of both price = ( 105 - 95) tk = 10 tk Selling price 10 tk more than cost price = 100 tk selling price 15 tk more than cost price ( 100×15)/10 = 150 tk.