mathematics MCQs
Showing 50 questions (Total: 16798)
A beg contains 2 red, 3 green and 2 blue balls. If two balls are drawn at random, what is the probability that none of the balls drawn is blue ?
Correct Answer:
A: 10/21
Explanation:
A beg contains 2 red, 3 green and 2 blue balls. If two balls are drawn at random, what is the probability that none of the balls drawn is blue ? Correct Answer 10/21 n(S) = 7C2 = 21 n( E) = 5C2 = 5! /2! 3! = 10 কোনো বলই নীল না হওয়ার সম্ভাবনা = n( E) / n(S) = 10/21
The highest common factor of 0 and 6 is ---
Correct Answer:
B: Undefined
Explanation:
The highest common factor of 0 and 6 is --- Correct Answer Undefined 60 = অংঙ্গায়িত (undefined) ∴ 0 এবং6 এর H. C. F (গ. সা. গু.) undefined.
If a series looks like - 1,1.5,2.5,4,........, then which of the following comes next in the sequence ?
Correct Answer:
C: 6.5
Explanation:
If a series looks like - 1,1.5,2.5,4,........, then which of the following comes next in the sequence ? Correct Answer 6.5 ধারা : 1 1.5 2.5 4 অন্তর : . 5 1 1.5 2 পরিবর্তী সংখ্যটি ( 4 + 2) = 6 আবার ধারাটিতে, 1 + 1.5 = 2.5 1.5 + 2.5 = 4 পরিবর্তী সংখ্যাটি = 2.5 + 4 = 6.5
A number when divided by divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?
Correct Answer:
C: 37
Explanation:
A number when divided by divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ? Correct Answer 37 যেহেতু remainder 24 সেহেতু Divisior অবশ্যাই 24 এর চেয়ে বড় হবে। সুতরাং, নির্ণেয় divisior 37
In a group of 60 people like Coca cola and 42 people like Pepsi Cola. Each person likes at least one of the two drinks. How many of these people like both Coca Cola and Pepsi Cola ?
Correct Answer:
B: 9
Explanation:
In a group of 60 people like Coca cola and 42 people like Pepsi Cola. Each person likes at least one of the two drinks. How many of these people like both Coca Cola and Pepsi Cola ? Correct Answer 9 যেহেতু সবাই দুইটির যেকোনো একটি পছন্দ করে সেহেতু T = n(c) + n(p) - n(B) + None 60 = 27 + 42 - n(B) + 0 n(B) = 69 - 60 n(B) = 9
The length of a rectangle is 6 cm more than the side of a square, and the width of the rectangle is 6 cm less than the side of the square. If the area of the square is 86 cm2. what is the area of the rectangle?
Correct Answer:
C: 50 cm2
Explanation:
The length of a rectangle is 6 cm more than the side of a square, and the width of the rectangle is 6 cm less than the side of the square. If the area of the square is 86 cm2. what is the area of the rectangle? Correct Answer 50 cm2 Let, side of the square = a a2 = 86 cm2 Length of the rectangle = a + 6 Width of the rectangle = a - 6 Area of rectangle = (a + 6) (a - 6) = a2 - 36 = 86 - 36 = 50 cm2
If x is negative , all BUT which of the following must also be negative?
Correct Answer:
D: 1/x2
Explanation:
If x is negative , all BUT which of the following must also be negative? Correct Answer 1/x2 Let, x = - 1 x3 = - 1 1/x3 = 1/ - 1 = - 1 1/x = 1/ - 1 = - 1 1/x2 = 1/( - 1)2 = 1
A drug store usually sells a certain medicine at 40% profit . During a sale, the medicine was sold for 10% less than the usual price. What percent profit the store made on eachof this medicine during the sale?
Correct Answer:
D: 26%
Explanation:
A drug store usually sells a certain medicine at 40% profit . During a sale, the medicine was sold for 10% less than the usual price. What percent profit the store made on eachof this medicine during the sale? Correct Answer 26% Let, buying price of medicine Tk. 100 At 40% profit selling price of medicine = (100 + 40) = Tk.140 Commission for tk 100 is tk 10 140 is tk (10×140)/100 = Tk.14 New selling price = 140 - 14 = 126 Profit in percentage = 126 - 100 = 26
The average score of students on a certain exam was 85.50. On the same exam Raju scored 90. What was Raju's percent deviation from the average score?
Correct Answer:
A: 4.5%
Explanation:
The average score of students on a certain exam was 85.50. On the same exam Raju scored 90. What was Raju's percent deviation from the average score? Correct Answer 4.5% Percent deviation = 90 - 85.50 = 4.5
If (x2 -y2) =48 and (x -y) =4 , what is the average of x and y?
Correct Answer:
D: 6
Explanation:
If (x2 -y2) =48 and (x -y) =4 , what is the average of x and y? Correct Answer 6 x2 - y 2 = 48 (x + y) (x - y) = 48 (x + y) ×4 = 48 x + y = 12 (x + y)/2 = 6
Which one of the following is not a prime number ?
Correct Answer:
C: 91
(0.04)^-1.5 = ?
Correct Answer:
C: 125
A sum of money is borrowed and paid back in two annual installments of Tk. 882 each allowing 5% compound interest. The sum borrowed was :
Correct Answer:
C: Tk. 1640
Laboni bought a 1 year, Tk. 10,000 certificate of deposit that paid interest at an annual rate of 8 percent compounded semiannually. What was the total amount of interest paid on his certificate at maturity?
Correct Answer:
C: Tk. 816
Explanation:
Laboni bought a 1 year, Tk. 10,000 certificate of deposit that paid interest at an annual rate of 8 percent compounded semiannually. What was the total amount of interest paid on his certificate at maturity? Correct Answer Tk. 816 চক্রবৃদ্ধি মুনাফার ক্ষেত্রে সবৃদ্ধিমূল c = p ( 1 + r/m)mn = 10000[ 1 + 8/(2×100)] 2.1 = 10000 × (1.04)2 = 10816 চক্রবৃদ্ধি মুনাফা ( 10816 - 10000) টাকা = 816 টাকা
What is the unit digit in the product (684*759*413*676) ?
Correct Answer:
C: 8
In a business, A and C invested amounts in the ratio 2:1,whereas the ratio between amounts invested by A and B was 3:2. If Tk. 1,57,300 was their profit,how much amount did B receive ?
Correct Answer:
D: 48,400
(87*87+61*61-2*87*61) = ?
Correct Answer:
A: 676
A is faster than B,A and B each walk 24km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to :
Correct Answer:
C: 4 km/hr
The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216 sq.cm, what is the length of the rectangle ?
Correct Answer:
D: 18cm
How many times in a day, the hands of a clock are straight ?
Correct Answer:
A: 22
Find the greatest number that will divide 43,91, and 183 so as to leave the same remainder in each case.
Correct Answer:
D: 4
A certain number of men can finish a piece of work in 100 days. If , there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally ?
Correct Answer:
C: 110
In a student dormitory there was enough food to feed 300 students for 15 days, Became of admission of some new students the food only lasted for 10 days . How many new students are admitted to the dormitory?
Correct Answer:
C: 150
A sum of money lent out at simple interest amounts to Tk. 720 after 2 years and to Tk. 1020 after a further period of 5 years. The sum is -
Correct Answer:
A: Tk. 600
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but, the selling price remains constant, approximately what percentage of the selling price is the profit ?
Correct Answer:
D: 70%
Two trains are running in opposite directions with the same speed. If the length of each train is 120 meters and they cross each other in 12 seconds, then the speed of each train (in km/hr) is :
Correct Answer:
D: 36
The average of first 50 natural numbers is :
Correct Answer:
C: 25.5
138.009+341.981-141.305=123.6+?
Correct Answer:
D: none of these
Rahim gave half of his stamps to karim. Karim gave half of his stamps to Farima. Fatima gave 1/4 of the stamps given to the to Tonmoy and kept the remaining 12. How many stamps did Rahim start with?
Correct Answer:
B: 64
Explanation:
Rahim gave half of his stamps to karim. Karim gave half of his stamps to Farima. Fatima gave 1/4 of the stamps given to the to Tonmoy and kept the remaining 12. How many stamps did Rahim start with? Correct Answer 64 ধরি, রহিমের ছিল x টি stamps ∴x - x2 - x2×12 - x4×14 = 12 ⇒x - x2 - x4 - x16 = 12 ⇒16x - 8x - 4x - x16 = 12 ⇒3x = 12×16 ⇒x = 12×163 ∴ x = 64
One baker can bake either 2 large cakes or 35 small cakes per hour. How many bakers are needed to bake 20 large cakes and 700 small cakes in 3 hours?
Correct Answer:
D: 10
Explanation:
One baker can bake either 2 large cakes or 35 small cakes per hour. How many bakers are needed to bake 20 large cakes and 700 small cakes in 3 hours? Correct Answer 10 2 টি বড় cakes তৈরির সময় = 35 টি ছোট কেক তৈরির সময় ∴ 20 টি ,, ,, ,, ,, = 35×202 ,, ,, ,, ,, 20 টি বড় cakes ও 700 টি ছোট cakes = (350 + 700) বা 1050 টি ছোট cakes তৈরির সময়। 35 টি ছোট cake ঘন্টায় তৈরি করে 1 baker ∴ 35 টি ,, ,, 3 ,, ,, ,, 13 ∴ 1050 টি ,, ,, ,, 105035×3 ,, = 10 bakers
Two people start jogging at the same point and time but in opposite directions. If the rate of one jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart. What is the rate of the faster jogger?
Correct Answer:
D: 6
Explanation:
Two people start jogging at the same point and time but in opposite directions. If the rate of one jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart. What is the rate of the faster jogger? Correct Answer 6 দ্রুতগতির লোকটির 1 ঘন্টায় বেশি jogging করে 2 মাইল ∴ '' '' 3 " " " " (2×3) = 6 মাইল ধীর গতির লোকটি jogging করে (30 - 6)÷ 2 = 12 মাইল ∴ দ্রুতগতির লোকটি গতি 12 + 63 মাইল/ ঘন্টা = 6 মাইল/ ঘন্টা
A worker is hired for 7 days. Each day, he is paid 10 Taka more than what he is paid for the previous day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?
Correct Answer:
A: 90
Explanation:
A worker is hired for 7 days. Each day, he is paid 10 Taka more than what he is paid for the previous day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay? Correct Answer 90 ধরি, লোকটির starting pay x টাকা ∴ x + x + 10 + x + 20 + x + 30 = x + 40 + x + 50 + x + 60 ⇒ 4x + 60 = 3x + 150 ⇒ 4x - 3x = 150 - 60 ∴ x = 90
If n is even, which of the following cannot be odd?
Correct Answer:
D: 2(n+3)
Explanation:
If n is even, which of the following cannot be odd? Correct Answer 2(n+3) even = odd = odd ∴ n + 3 = odd odd × even + 1 = odd ∴ 3n + 1 = odd even2 - 1 = even - 1 = odd ∴n2 - 1 = odd 2(even + odd) = 2 × odd = even ∴ 2 (n + 3) = even
The lengths of two sides of a triangle are 7 and 11. If the length of the third side is an integer, What is the least possible perimeter of the triangle?
Correct Answer:
D: 23
Explanation:
The lengths of two sides of a triangle are 7 and 11. If the length of the third side is an integer, What is the least possible perimeter of the triangle? Correct Answer 23 ত্রিভুজের যে কোনো দুই বাহুর যোগফল তৃতীয় বাহু অপেক্ষা বৃহত্তর। ∴ তৃতীয় বাহুর মান কমপক্ষে 5হবে। ∴ ত্রিভুজটির perimeter বা পরিসীমা = 5 + 7 + 11 = 23
A company generated revenue of Tk 125,000 in 2012 which was 12.5% o its gross revenue. In 2013, the gross revenue increased by Tk. 250,000. What is the percentage increase in the revenue in 2013?
Correct Answer:
C: 25%
Explanation:
A company generated revenue of Tk 125,000 in 2012 which was 12.5% o its gross revenue. In 2013, the gross revenue increased by Tk. 250,000. What is the percentage increase in the revenue in 2013? Correct Answer 25% Generate revenue 12.5 হলে gross revenue 100 ∴ ,, ,, 125 ,, ,, ,, 100 + 12512.5 = 1000 ∴ Rate increase in the revenue in 2013 = 2501000×100 % = 25 %
Annie invested a certain sum of money in a bank that paid simple interest. The amount grew to Tk 240 at the end of 2 years. She waited for another 3 years and got a final amount of Tk 300. What was the principal amount that she invested at the beginning?
Correct Answer:
A: 200
Explanation:
Annie invested a certain sum of money in a bank that paid simple interest. The amount grew to Tk 240 at the end of 2 years. She waited for another 3 years and got a final amount of Tk 300. What was the principal amount that she invested at the beginning? Correct Answer 200 আসল + 5 বছরের মুনাফা = 300 আসল + 2 ,, ,, = 240 [( - ) করে ] ∴ 3 বছরের মুনাফা = 60 ∴ 2 ,, ,, = 60×23 = 40 ∴ Principal = 240 - 40 = 200 টাকা
Moyna has n chcoltes, where n is an integer such that 20
Correct Answer:
B: 2
Explanation:
Moyna has n chcoltes, where n is an integer such that 20 Correct Answer 2 n এর মান 5 ও 6 উভয়ের গুনিতক হতে যথাক্রমে 2 ও 1 বেশি। ∴ n এর মান হবে = 5×7 + 2 = 35 + 2 = 37 37 সংখ্যাটিকে 7দ্বারা ভাগ করা হলে 2 অবশিষ্ট থাকে।
The number 3 divides X with a result of Y and a remainder of 2. The number 3 divides Y with a result of 2 and a remainder of 1. What is the value of X?
Correct Answer:
D: 23
Explanation:
The number 3 divides X with a result of Y and a remainder of 2. The number 3 divides Y with a result of 2 and a remainder of 1. What is the value of X? Correct Answer 23 প্রশ্নানুসারে, 3×y + 2 = x ∴ x = 3y + 2 আবার, 3×2 + 1 = y ∴ y = 7 ∴ x = 3×7 + 2 = 23
If-2
Correct Answer:
C: -7
Explanation:
If-2 Correct Answer -7 (1) ও (2) নং অসমতা যোগ করে পাই - 2 + 3
Solution X is percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Correct Answer:
A: 600
Explanation:
Solution X is percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume? Correct Answer 600 ধরি P milliliters y মেশাতে হবে। ∴ 10% of 200 + 30% of p = 25% of (200 + p) ⇒10100×200 + 30100×p = 25100×200 + p ⇒ 2000 + 30 p = 5000 + 25 p ⇒ 30p - 25p = 5000 - 2000 ⇒p = 30005 ∴ p = 600
If c and d are two integers and @ is defined in p an q as @ (p, q)=(p+1)(q+2), and @ (c, d) equals the product of 2 and 5, then what should be the value of c+d?
Correct Answer:
B: 5
Explanation:
If c and d are two integers and @ is defined in p an q as @ (p, q)=(p+1)(q+2), and @ (c, d) equals the product of 2 and 5, then what should be the value of c+d? Correct Answer 5 @ (p, q) = (p + 1) (q + 2) ∴ @(c,d) = (c + 1)(d + 2) ⇒3×5 = (c + 1) (d + 2) এখন, c + 1 = 3 এবং d + 2 = 5 ⇒ c = 3 - 1 এবং d = 5 - 2 ∴ c = 2 এবং d = 3 ∴ c + d = 2 + 3 = 5
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ----
Correct Answer:
C: 48
Explanation:
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ---- Correct Answer 48 আপেক্ষিক বেগ = (60 + 90) km/hr = 150×518 m/s = 1253 m/s দূরত্ব অতিক্রম করতে হবে (1.10 + 0.9)km = 2km = 2000m ∴ নির্ণেয় সময় = 2000m1253m/s = 48s
If (x+4)2=9 and (y+3)2=25, then the minimum value of y/x is----
Correct Answer:
B: -2
Explanation:
If (x+4)2=9 and (y+3)2=25, then the minimum value of y/x is---- Correct Answer -2 x + 42 = 9 ⇒x + 4 = ±3 ∴ x = - 1, - 7 এবং y + 32 = 25 ⇒y + 3 = ±5 ∴ y = 2 , 8 yx = 2 - 1 = - 2 এবং yx = 2 - 7 = - 27 আবার yx = - 8 - 1 = 8 এবং yx = - 8 - 7 = 87 ∴yx এর ক্ষুদ্রতম মান = - 2
Complete the following series. 9,11,15,23,39,?
Correct Answer:
B: 71
Explanation:
Complete the following series. 9,11,15,23,39,? Correct Answer 71 ধারা : 9 11 15 23 39 71 অন্তর : 2 4 8 16 32 ∴ ধারাটির পরবর্তী পদ = 39 + 32 = 71
A, B and C are three partners. They altogether invested Tk. 14,000 in business. At the end of the year, A got Tk. 337.50, B Tk. 1125 and C Tk. 637.50 as profit. The difference between the investments of B and A was -----
Correct Answer:
C: Tk. 5250
Explanation:
A, B and C are three partners. They altogether invested Tk. 14,000 in business. At the end of the year, A got Tk. 337.50, B Tk. 1125 and C Tk. 637.50 as profit. The difference between the investments of B and A was ----- Correct Answer Tk. 5250 A, B ও C এর লাভের অনুপাত = 337.50: 1125: 637.50 = 33750: 112500: 63750 = 3375: 11250 : 6375 = 9: 30 : 17 আনুপাতের রাশিগুলোর যোগফল = 9 + 30 + 17 = 56 Bও A এর লাভের পার্থক্যের পরিমাণ = 30 - 9 = 21 ∴B ও A - এর বিনিয়োগের পার্থক্যের পরিমাণ = 14000×2156 টাকা। = 5250 টাকা।
The probability of rolling any number of an wighted 6-sided die, with faces numbered 1 through 6, is directly proportional to the number rolled. What is the probability of getting 5, if the die is rolled only once?
Correct Answer:
D: 5/21
Explanation:
The probability of rolling any number of an wighted 6-sided die, with faces numbered 1 through 6, is directly proportional to the number rolled. What is the probability of getting 5, if the die is rolled only once? Correct Answer 5/21 If the probability of rolling a particular number is related to that number, then in 21( = 1 + 2 + 3 + 4 + 5 + 6) rollls, we'll have the following roll a '1' once, a '2' twice, a '3' thrice etc. Then th probability of those number is p(1) = 1/21 p(2) = 2/21 p(3) = 3/21 p(4) = 4/21 p(5) = 5/21 p(6) = 6/21 ∴ The probability of getting 5, if the die is rolled only once is 521
Find the average of all the numbers between 6 and 34 which are divisible by 5.
Correct Answer:
A: 20
Explanation:
Find the average of all the numbers between 6 and 34 which are divisible by 5. Correct Answer 20 6 থেকে 34 এর মধ্যে 5 দ্বারা বিভাজ্য সঙখ্যাগুলো : 10, 15, 20, 25, ও 30 ∴ সংখ্যা 5 টির গড় = 1005 = 20
0.5*0.5*+0.5+5 is equal to ----
Correct Answer:
B: 0.35
Explanation:
0.5*0.5*+0.5+5 is equal to ---- Correct Answer 0.35 0.5×0.5 + 0.5÷5 = 0.5×0.5 + 0.55 = 0.25 + 0.1 = 0.35
A toy was bought for Tk 75 and sold at a gain of 8%. What was its selling price in Tk ?
Correct Answer:
B: 81
Explanation:
A toy was bought for Tk 75 and sold at a gain of 8%. What was its selling price in Tk ? Correct Answer 81 Hints: Selling price at 8% gain = 75 + 75 × 8/100 = 75 + 6 = 81
A woman is 30 times older than her son. 18 years later she will be thrice as old as her son. What is the woman's present age in years ?
Correct Answer:
D: 40
Explanation:
A woman is 30 times older than her son. 18 years later she will be thrice as old as her son. What is the woman's present age in years ? Correct Answer 40 Hints: Let woman's age = w sons = s w = 30 s এবং, w + 18 = 3(s + 18) w + 18 = 3s + 54 10w + 180 = 30s + 540 [10 multiplication by both side] 10w + 180 = w + 540 9w = 540 - 180 9w = 360 w = 40 (ans)