mathematics MCQs
Showing 50 questions (Total: 16798)
If the average of 5, 9 ,M and n is 12 m what is the average of (m +7) and (n -3) ?
Correct Answer:
B: 19
Explanation:
If the average of 5, 9 ,M and n is 12 m what is the average of (m +7) and (n -3) ? Correct Answer 19 here,5+9+m+n4=12=> m + n = 34 …………(i)and,Av of (m+7) and (n-3) = (m+7)+(n-3)2=m+n+42=34+42 ………………….. [m+n=34]= 19
For the final step in a calculation , chunnu accidentally accidentally divided by 1,000 instead of multiplying by 1,000 . what should he do to his incorrect answer to correct it?
Correct Answer:
C: Multiply by 1,000,000
Explanation:
For the final step in a calculation , chunnu accidentally accidentally divided by 1,000 instead of multiplying by 1,000 . what should he do to his incorrect answer to correct it? Correct Answer Multiply by 1,000,000 at first he should multiply by 1000 to undo his mistake, then multiply by 1000 again. When you multiply by 1000 twice, that’s the same as multiplying by (1000 × 1000) = 1,000,000 ans: 1,000,000
A 140 liter mixture of milk and water contains 20% water. How much milk , in liter, must be added to the mixture so that the new mixture will contain a water and milk ratio of 1 : 7?
Correct Answer:
B: 84 liter
Explanation:
A 140 liter mixture of milk and water contains 20% water. How much milk , in liter, must be added to the mixture so that the new mixture will contain a water and milk ratio of 1 : 7? Correct Answer 84 liter Amount of water in mixture = 20% of 140 = 20/100 of 140 = 28 liter Amount of milk in mixture = 140 - 28 = 112 liter For, new mixture, the amount of water remains the same. Now, milk : water = 7 : 1 milk / water = 7 / 1 or, milk = 7 x water = 7 x 28 = 196 liter So, more milk needed = 196 - 112 = 84 liter
If a, b, and c are three different positive integers less then 10 and greater than 0 , what is the greatest possible value of the expression (a -b)/c?
Correct Answer:
C: 7
Explanation:
If a, b, and c are three different positive integers less then 10 and greater than 0 , what is the greatest possible value of the expression (a -b)/c? Correct Answer 7 Let, a = 9b= 2c= 1 So, (a-b)/c = (9-2)/1 = 7 Here if I take b=1 and c=2 then the value will be (a-b)/c = (9-1)/2 =4 and it Won't be the greatest value so, 7 Will be the answer.
In a certain school , 40% of the students are boys . If 20% of the boys and 10% of the girls went on a field trip, what percentage of the total students went to the field trip?
Correct Answer:
B: 14%
Explanation:
In a certain school , 40% of the students are boys . If 20% of the boys and 10% of the girls went on a field trip, what percentage of the total students went to the field trip? Correct Answer 14% Boys = 40% of the students Girls = 100 - 40 = 60% of the students Boys went to the field trip = 20% of 40% of students = 20/100 of 40% of students = 8% Girls went to the field trip = 10% of 60% of students = 10/100 of 60% of students = 6% Total students went to the field trip = 8% + 6% = 14%
The length of a rectangular field F is 3 km greater than the side of a square field M , and the width of field F is 3 km less then the side of field M. If the area of field M is m2 square km, what is the area of field F?
Correct Answer:
D: m2 +9
Explanation:
The length of a rectangular field F is 3 km greater than the side of a square field M , and the width of field F is 3 km less then the side of field M. If the area of field M is m2 square km, what is the area of field F? Correct Answer m2 +9 Side of field M = √m2 = m km Length of field F = (m + 3) km Width of field F = (m - 3) km So, area of field F = Length x Width = (m + 3) x (m - 3) = m2 - 9
The average age of 12 students is 20 years. If the age of one more student is included, the average decreases by 1, what is the age of the new student ?
Correct Answer:
B: 7
Explanation:
The average age of 12 students is 20 years. If the age of one more student is included, the average decreases by 1, what is the age of the new student ? Correct Answer 7 Total age of 12 students = 12 x 20 = 240 years New average = 20 - 1 = 19 years Total age of (12 + 1 = 13) students = 13 x 19 = 247 So, age of the new student = 247 - 240 = 7 years
If Mr. Azad can save Tk. 380 in five weeks , in how many weeks m at this same rate, can he save 2.6 times of this amount?
Correct Answer:
A: 13 weeks
Explanation:
If Mr. Azad can save Tk. 380 in five weeks , in how many weeks m at this same rate, can he save 2.6 times of this amount? Correct Answer 13 weeks Time needed 2.6 times more to save 2.6 times more money. So, required time = 2.6 x 5 weeks = 13 weeks
If 4 times an integer x is increased by 10 , the result is always greater than 18 and less than 34 . what is the least value of x?
Correct Answer:
B: 3
Explanation:
If 4 times an integer x is increased by 10 , the result is always greater than 18 and less than 34 . what is the least value of x? Correct Answer 3 You have to go through the options here to find out the answer. Option 1: 2*4 + 10 = 18 This is not greater than 18. Option 2: 3*4 + 10 = 22 This is greater than 18 and less than 34. Plus, this is the lowest integer that follows the given conditions.
C is a circle , L is a line,and P is a point on line L . If C, L, and P are in the same plane and P is inside C, how many points do C and L have in common
Correct Answer:
B: 2
In a certain country, a person is born every 4 second and person dies every 10 seconds . Therefore , the birth and death rates account for a population growth rate of one person every--
Correct Answer:
C: 6.67 seconds
Explanation:
In a certain country, a person is born every 4 second and person dies every 10 seconds . Therefore , the birth and death rates account for a population growth rate of one person every-- Correct Answer 6.67 seconds LCM of 4 & 10 is 40. 10 persons are born in every 40 seconds. 4 persons die every 40 second. Population growth rate = 6 persons every 40 seconds = 1 person every (40/6 = 6.67) seconds
A restaurant meal costs Tk. 35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between ---
Correct Answer:
B: Tk. 39 & Tk. 41
Explanation:
A restaurant meal costs Tk. 35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between --- Correct Answer Tk. 39 & Tk. 41 let, Tip = t 10<t<15 Min = 35.50*1.10 = 39.05 Max = 35.50*1.15 = 40.825 39.05 < t < 40.825 so,the total amount paid must have been between Tk.39 & Tk.41 (ans)
If k is divisible by 2, 3 and 15, which of the following is also divisible by these numbers?
Correct Answer:
D: K+30
Explanation:
If k is divisible by 2, 3 and 15, which of the following is also divisible by these numbers? Correct Answer K+30 Only the number 30 from the options is divisible by 2, 3 and 15. As 'K' is divisible by 2, 3 and 15, (K + 30) is also divisible by these numbers.
If an integer y is subtracted from an integer x, and the result is greater 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 greater than x, then y must be --- Correct Answer Less than 0 x - y > x x = 1 এবং y = - 1 হলে, x - y = 1 - ( - 1) = 2>1 x = 1 এবং y = - 2 হলে, x - y = 1 + 2 = 3 >1 y <0 হলে x - y > x শর্তটি সিদ্ধ হয়।
Of two groups of tourists, each has 60 people. If three 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 of the second group?
Correct Answer:
A: 5
Explanation:
Of two groups of tourists, each has 60 people. If three 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 of the second group? Correct Answer 5 3/4 th of 60 = 45 2/3 rd of 60 = 40 Difference = 45 - 5 = 5
For some value of x , 5(x+2) =y . After the value of x is increased by ,3 5(x+2) =z. what is the value of (z -y) ?
Correct Answer:
C: 15
Explanation:
For some value of x , 5(x+2) =y . After the value of x is increased by ,3 5(x+2) =z. what is the value of (z -y) ? Correct Answer 15 Here, y = 5(x + 2) z = 5(x + 3 + 2) [using x + 3 in place of x] Now, z - y = 5(x + 5) - 5(x + 2) = 5x + 25 - 5x - 10 = 15
Amer is working in an insurance company as traveling salesman. He drove 373.5 miles on Monday, 481.6 miles on Tuesday, 392.8 miles on Wednesday, 502 miles on Thursday and 53.7 miles on Friday . What is his average traveling?
Correct Answer:
B: 360.72 miles
Explanation:
Amer is working in an insurance company as traveling salesman. He drove 373.5 miles on Monday, 481.6 miles on Tuesday, 392.8 miles on Wednesday, 502 miles on Thursday and 53.7 miles on Friday . What is his average traveling? Correct Answer 360.72 miles Total days = 5 Total driving = 373.5 + 481.6 + 392.8 + 502 + 53.7 = 1803.6 miles Average travelling = 1803.6 / 5 = 360.72 miles
Barkat bought equal numbers of 2-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:
Barkat bought equal numbers of 2-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 ***The question is erroneous. Let the number of each type stamps is S. Now, 10 TK = 10 x 100 paisa = 1000 paisa So, 20S + 30S = 1000 or, 50S = 1000 or, S = 100/50 = 20 So, the number of total stamps = 20 + 20 = 40
At a book fair, Danesh buys three pencils that cost Tk. 3.25 each, and a color pen that costs Tk. 5 . Which expression represents the amount of change , he should get when paying with a twenty taka note?
Correct Answer:
B: 20- 3(3.25) -5
Explanation:
At a book fair, Danesh buys three pencils that cost Tk. 3.25 each, and a color pen that costs Tk. 5 . Which expression represents the amount of change , he should get when paying with a twenty taka note? Correct Answer 20- 3(3.25) -5 He has 20 tkHe buys three pencils that cost tk. 3.25 each so the cost of 3 pencils = 3(3.25)And also a color pen that costs tk. 5 .So, he should get = 20-3(3.25)-5
zinat's father contributes to his daughter's savings by giving her 10% of her total saving . If Zinat saves Tk. 100 in June , Tk. 250 in July and Tk. 130 in August, how much will she have in savings at the end of that time?
Correct Answer:
A: Tk. 528
Explanation:
zinat's father contributes to his daughter's savings by giving her 10% of her total saving . If Zinat saves Tk. 100 in June , Tk. 250 in July and Tk. 130 in August, how much will she have in savings at the end of that time? Correct Answer Tk. 528 At the end of that time she will have = (100 + 10% of 100) + (250 + 10% of 250) + (130 + 10% of 130) = 100 + 10 + 250 + 25 + 130 + 13 = 528 TK
what is the perimeter of the rectangle with diagonal 10 cm and width 6 cm?
Correct Answer:
A: 28
Explanation:
what is the perimeter of the rectangle with diagonal 10 cm and width 6 cm? Correct Answer 28 The adjacent diagonal, width and length of a rectangle form a right angled triangle where diagonal is the hypotenuse. So, Diagonal2 = Length2 + Width2 or, Length = √(Diagonal2 - Width2) = √(102 - 62) = √(100 - 36) = 8 So, perimeter = 2(Length + Width) = 2(8 + 6) = 28 cm
If Rahim was 32 years old 8 years ago, how old was he x years ago?
Correct Answer:
C: 40-x
Explanation:
If Rahim was 32 years old 8 years ago, how old was he x years ago? Correct Answer 40-x Rahim's present age = 32 + 8 = 40 Rahim's age at x years back = 40 - x
Which one of the following is equal to 1/4 of 0.01 percent ?
Correct Answer:
B: 0.0025
Explanation:
Which one of the following is equal to 1/4 of 0.01 percent ? Correct Answer 0.0025 1/4 of 0.01 % = 1/4 of 0.01/100 = 0.0025
An ice cream parlour makes an ice cream using one of six different flavors of ice cream, one of three different flavor of syrup, and one of four different toppings. what is the total number of different ice creams that this ice cream paolour can make?
Correct Answer:
A: 72
Explanation:
An ice cream parlour makes an ice cream using one of six different flavors of ice cream, one of three different flavor of syrup, and one of four different toppings. what is the total number of different ice creams that this ice cream paolour can make? Correct Answer 72 Making ice cream parlour depends on chosing flavors of ice cream, syrup and toppings. Now, ways of coosing ice cream flavor = 6C1 Ways of coosing ice cream flavor = 3C1 Ways of coosing ice cream flavor = 4C1 So, total number of ice cream = 6C1 x 3C1 x 4C1 = 6 x 3 x 4 = 72
Jonyh bought a shirt, a pair of pants and a pair of shoes , which cost Tk. 1,000 Tk. 2,000 , and Tk. 3,000 respectively. What percent of the total expense was spent for the pants?
Correct Answer:
D: 33.33%
Explanation:
Jonyh bought a shirt, a pair of pants and a pair of shoes , which cost Tk. 1,000 Tk. 2,000 , and Tk. 3,000 respectively. What percent of the total expense was spent for the pants? Correct Answer 33.33% Percent of total expense spent for pants = 2000 / (1000 + 2000 + 3000) x 100% = 33.33%
A two-digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number?
Correct Answer:
B: 63
Explanation:
A two-digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number? Correct Answer 63 Let the decimal placed digit be X. Then the number is (10X + 3). Again, X + 3 = (10X + 3) / 7 or, 7X + 21 = 10X + 3 or, 10X - 7X = 21 - 3 or, 3X = 18 or, X = 6 So, the number is 63.
In a village the growth rate of population is 5% every year . There are 1600 people in the beginning of 2008 . what will be the approximate number of people in the beginning of 2011?
Correct Answer:
B: 1,696
Explanation:
In a village the growth rate of population is 5% every year . There are 1600 people in the beginning of 2008 . what will be the approximate number of people in the beginning of 2011? Correct Answer 1,696 The next World Cup Football will be hosted by Russia in 2018 and Qutar in 2022.
A truck driver must complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for the first 3 hours, then how fast must he travel for the final hour ?
Correct Answer:
D: 30
Explanation:
A truck driver must complete a 180-mile trip in 4 hours. If his average speed is 50 miles per hour for the first 3 hours, then how fast must he travel for the final hour ? Correct Answer 30 50 × 3 = 150 180 - 150 = 30
In a group of 15 high school students, 7 study Latin, 8 study French, and 3 study neither Latin nor French. How many students study both Latin and French?
Correct Answer:
A: 3
Explanation:
In a group of 15 high school students, 7 study Latin, 8 study French, and 3 study neither Latin nor French. How many students study both Latin and French? Correct Answer 3 Number of students studying atleast one language = 15 - 3 = 12 Number of students studying both language = 7 + 8 - 12 = 3
The surface area of a cubic box is 150 cm2. what is the volume of that box?
Correct Answer:
C: 125 cm3
Explanation:
The surface area of a cubic box is 150 cm2. what is the volume of that box? Correct Answer 125 cm3 rface area of a cubic box is 150 cm2. what is the volume of t Let the side of the cube be X. Now, surface area, 6X2 = 150 or, X2 = 25 or, X = 5 So, Volume, X3 = 53 = 125 cm3
Sarah needs to make a cake and some coolies. The cake requires 3/8 cup of sugar and the coolies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?
Correct Answer:
D: needs 6/19 of a cup of sugar
Explanation:
Sarah needs to make a cake and some coolies. The cake requires 3/8 cup of sugar and the coolies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need? Correct Answer needs 6/19 of a cup of sugar Sugar required = 3/8 + 3/5 = (15 + 24) / 40 = 39/40 cup Shortage of sugar = 39/40 - 15/16 = (78 - 75)/80 = 3/80 cup
Son's age is now one-third of father's age. In twelve years from now son's age will be one half of the father's age . What is the son's age in years now ?
Correct Answer:
D: 12
Explanation:
Son's age is now one-third of father's age. In twelve years from now son's age will be one half of the father's age . What is the son's age in years now ? Correct Answer 12 x, 3x 2( x + 12) = 3x + 12 3x - 2x = 24 - 12 x = 12
Tanveer earns Tk. 5.00 for every hour he works . Last weeks worked for x hours. He purchased y kg of rice. Price of per kg rice is Tk. 12.00. He saved the remaining amount. which expression below shows his savings?
Correct Answer:
B: Tk. (5.00 x - 12.00y)
Explanation:
Tanveer earns Tk. 5.00 for every hour he works . Last weeks worked for x hours. He purchased y kg of rice. Price of per kg rice is Tk. 12.00. He saved the remaining amount. which expression below shows his savings? Correct Answer Tk. (5.00 x - 12.00y) Tanveer earned Tk. 5.00 for every hour he worked, so his total earnings for last week can be expressed as 5x Tk.He purchased y kg of rice at Tk. 12.00 per kg, so the total cost of rice he purchased can be expressed as 12y Tk.His savings can be calculated by subtracting his total expenses from his total earnings, which gives:Savings = (Total earnings) - (Total expenses) = 5x - 12y TkTherefore, the expression that shows Tanveer's savings is 5x - 12y Tk.
A man walked 2 miles east, then 2 miles south , then again 4 miles east and finally 10 miles north. How far did he walk from the starting point ?
Correct Answer:
A: 10
Explanation:
A man walked 2 miles east, then 2 miles south , then again 4 miles east and finally 10 miles north. How far did he walk from the starting point ? Correct Answer 10 x2 = 62 + 82 x2 = 36 + 64 x2 = 100 x = 10
If there are 300 calories in 100 grams of a food, how many calories are there in a 30-gram portion of that food?
Correct Answer:
A: 90
Explanation:
If there are 300 calories in 100 grams of a food, how many calories are there in a 30-gram portion of that food? Correct Answer 90 Calories remained in the 30gram portion = 30 / 100 x 300 = 90 calories
The ratio of boys and girls in a class is 1:2 and the class as 24 students . How many boys would have to be admitted to the class in order to make the ratio of boys to girls 1 : 1?
Correct Answer:
B: 8
Explanation:
The ratio of boys and girls in a class is 1:2 and the class as 24 students . How many boys would have to be admitted to the class in order to make the ratio of boys to girls 1 : 1? Correct Answer 8 Boys = 24 × 1 / 1 + 2 = 8 Girls = 16 Now, ( 8 + x) ; 16 = 1 : 1 gives x = 8
If x5=243 , what is the value of x-3 ?
Correct Answer:
A: 1/27
Explanation:
If x5=243 , what is the value of x-3 ? Correct Answer 1/27 Here, x5 = 243 or, x5 = 35 or, x = 3 So, x - 3 = 3 - 3 = 1/33 = 1/27
There are 92 girls in the anthropology class . This is 40% of all the students. What is the total number of students?
Correct Answer:
C: 230
Explanation:
There are 92 girls in the anthropology class . This is 40% of all the students. What is the total number of students? Correct Answer 230 40% of the students = 92 So, all or 100% of the students = 92 x 100 / 40 = 230
Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
Correct Answer:
D: $306
Explanation:
Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450? Correct Answer $306 Price at 15% off sale = 450 - 15% of 450 = 450 - 67.5 = $382.5 Price at additional 20% discount = 382.5 - 20% of 382.5 = 382.5 - 76.5 = $306
At 5 : 15 p.m. waht angle do the hands of a clock form?
Correct Answer:
A: 67.5 degree
Explanation:
At 5 : 15 p.m. waht angle do the hands of a clock form? Correct Answer 67.5 degree Clock angle = । (60H - 11M)/2 । = । (60 x 5 - 11 x 15)/2 । = । (300 - 165)/2 । = 135/2 = 67.5° [If the clock angle is greater than 180°, its subtraction from 360° will be the actual angle.]
A brand of paint costs Tk. 14 per liter and 1 liter of paint will cover an area of 150 square feet. what is the minimum cost of paint needed to cover the 4 walls of a rectangular room that ix 12 feet wide, 16 feet long and 8 feet high?
Correct Answer:
A: Tk. 42
Explanation:
A brand of paint costs Tk. 14 per liter and 1 liter of paint will cover an area of 150 square feet. what is the minimum cost of paint needed to cover the 4 walls of a rectangular room that ix 12 feet wide, 16 feet long and 8 feet high? Correct Answer Tk. 42 Total surface area of the 4 walls = 2(length x height + width x height) = 2(16 x 8 + 12 x 8) = 448 ft2 Total paint required = 448/150 ≈ 2.99 liter Total cost of paint = 2.99 x 14 ≈ 42 TK
In Dhanmondi Lake the current flows at 3 kilometres per hour. The boatmen takes twice as long to travel upstream between two points as it does to travel downstream between the same two points. In still water what is the speed of the boat?
Correct Answer:
C: 9 miles per hour
Explanation:
In Dhanmondi Lake the current flows at 3 kilometres per hour. The boatmen takes twice as long to travel upstream between two points as it does to travel downstream between the same two points. In still water what is the speed of the boat? Correct Answer 9 miles per hour Let the boat speed and current flow be U and V respectively. According to the question, the relative speed of boat downstream (U + V) is twice as that of upstream (U - V). So, U + V = 2(U - V) or, U + V = 2U - 2V or, 2U - U = V + 2V or, U = 3V = 3 x 3 = 9 km per hour
If a pipe fills a tank in h hours what part of the tank does it fill in 2 hours?
Correct Answer:
A: 2/h
Explanation:
If a pipe fills a tank in h hours what part of the tank does it fill in 2 hours? Correct Answer 2/h If it takes x hours to fill a tank, i.e. to fill 1 tank, then in 1 hour, it'll fill 1x of the tank. then in 2 hours, it'll fill 2x of the tank. Ans: 2x
Bonds Telecom sold 140 SIM cards for Tk. 250 each, 120 SIM cards for Tk. 215 each and 50 SIM cards for TK. 200 each. If each. SIM card costs TK. 220 , what was Bond's profit or loss?
Correct Answer:
B: Tk. 2,600 profit
Explanation:
Bonds Telecom sold 140 SIM cards for Tk. 250 each, 120 SIM cards for Tk. 215 each and 50 SIM cards for TK. 200 each. If each. SIM card costs TK. 220 , what was Bond's profit or loss? Correct Answer Tk. 2,600 profit Total number of sold SIM cards = 140 + 120 + 50 = 310 Total cost of SIM cards = 310 x 220 = 68200 TK Revenue from sell = 140 x 250 + 120 x 215 + 50 x 200 = 70800 Profit = 70800 - 68200 = 2600 TK
What is the averate fo 0.36, 4.6, 0.64, and 2.4?
Correct Answer:
B: 2
Explanation:
What is the averate fo 0.36, 4.6, 0.64, and 2.4? Correct Answer 2 0.36 + 4.6 + 0.64 + 2.4 = 8 = 8/4 = 2 চারটি সংখ্যার যোগফল ৮ এবং চারটি সংখ্যার কারণে ৪ দিয়া ভাগ হবে।
The average of a a, b, c is 6 and a-b =4, ab = 21, What is the value of c ?
Correct Answer:
C: 8
Explanation:
The average of a a, b, c is 6 and a-b =4, ab = 21, What is the value of c ? Correct Answer 8 a + b + c = 6 ×3 = 18 ( a + b)2 = ( a - b) 2 + 4ab = 42 + 4 × 21 = 16 + 84 = 100 a + b = 10 10 + c = 18 c = 8
A book sells for TK. 65. This price gives the seller a profit of 30% on his cost. What will be the new selling price if he cuts his profit to 10% of its cost ?
Correct Answer:
C: 55
Explanation:
A book sells for TK. 65. This price gives the seller a profit of 30% on his cost. What will be the new selling price if he cuts his profit to 10% of its cost ? Correct Answer 55 At 30% profit , cost = Tk, ( 100×65)/130 = Tk.50 Now, At 10% profit , the new selling price = Tk.(110 × 50) 100 = Tk.55
Karim and Bablu can build a wooden table in 3 days. Bablu can do it alone in 5 days. How many days would it take Karim to do this job alone?
Correct Answer:
B: 7.5
Explanation:
Karim and Bablu can build a wooden table in 3 days. Bablu can do it alone in 5 days. How many days would it take Karim to do this job alone? Correct Answer 7.5 Bablu can build 1/5 of the table in a day. Together they can build 1/3 of the table in a day. Therefore, Karim can build (1/3 - 1/5 = 2/15) of the table in a day. So, Karim can build the complete table in 15/2 = 7.5 days
If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
Correct Answer:
C: 500 miles
Explanation:
If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? Correct Answer 500 miles The initial position of the plane along with their final positions will make a right - angled triangle and the hypotenuse of that triangle will be the direct distance between them at 3 pm. Now, travel time from 1 pm to 3 pm is 2 hours. So, distance covered towards North = 150 x 2 = 300 miles and towards west = 200 x 2 = 400 miles. Therefore, their direct distance = (3002 + 4002)1/2 = (90000 + 160000)1/2 = 2500001/2 = 500 miles.
Danny attended a test containing 40 questions. If he had corrected 18 questions out of the first 22 and two-third of the remaining questions, what percent of all the questions did he answer correctly?
Correct Answer:
D: 75%
Explanation:
Danny attended a test containing 40 questions. If he had corrected 18 questions out of the first 22 and two-third of the remaining questions, what percent of all the questions did he answer correctly? Correct Answer 75% Danny attended a test containing 40 questions. If he had corrected 18 questions out of the first 22 and two - third of the remaining questions, what percent of all the questions did he answer correctly? Total number of correctly answered questions = 18 + 2/3 of (40 - 22) = 18 + 2/3 of 18 = 18 + 12 = 30 Percentage of correctly answered questions = 30 / 40 x 100% = 75%