mathematics MCQs
Showing 50 questions (Total: 16798)
The area of a rectangle is 460 square meters. If the length is 15% more than the breadth, what is the breadth of the rectangular field?
Correct Answer:
D: None of these
Explanation:
The area of a rectangle is 460 square meters. If the length is 15% more than the breadth, what is the breadth of the rectangular field? Correct Answer None of these Hints: ধরি, breadth = x meter Length = x + x এর 15% = (115x/100) meter প্রশ্নমতে, x × (115x/100) = 460 x2 = 400 x = 20 meters
Consider the following series: 3,4,6,9,13, ............. What comes next ?
Correct Answer:
D: 18
Explanation:
Consider the following series: 3,4,6,9,13, ............. What comes next ? Correct Answer 18 vacillate মানে ইতস্ততঃ করা determined মানে দৃঢ়প্রতিজ্ঞ তাই এরা opposite.
If t is any integer, which of the following represents an odd number?
Correct Answer:
B: 2t + 13
Explanation:
If t is any integer, which of the following represents an odd number? Correct Answer 2t + 13 We know that, odd×Even = Even and, even + odd = odd so 2t + 13 represents an odd number.
If simple interest on a certain sum of money is Tk. 256 and the rate of interest per annum equals the number of years,then the rate of interest is--
Correct Answer:
C: 16%
Explanation:
If simple interest on a certain sum of money is Tk. 256 and the rate of interest per annum equals the number of years,then the rate of interest is-- Correct Answer 16% "Let, interest rate = x% So, number of year x 100 Tk. 1 years = x Tk. Interest ∴ 100 Tk. X years interedt = x × x = x2Tk. According to the question,x2 = 256∴x = 16
At what rate of compound interest rate per annual will a sum of Tk. 1200 become Tk. 1348.32 in 2 years?
Correct Answer:
A: 6%
Explanation:
At what rate of compound interest rate per annual will a sum of Tk. 1200 become Tk. 1348.32 in 2 years? Correct Answer 6% Hints: ধরি, rate হচ্ছে R% per annual তাহলে, 1200 × {1 + (R/100)}2 = 1348.32 {1 + (R/100)}2 = 134832/120000 = 11236/10000 = (106/100)2 1 + (R/100) = 106/100 R = 6%
when the price of an article is reduced by 15% the sales increases by 35% . The percentage change in the total amount of receipts is-
Correct Answer:
B: 14 lof 3/4 increse
Explanation:
when the price of an article is reduced by 15% the sales increases by 35% . The percentage change in the total amount of receipts is- Correct Answer 14 lof 3/4 increse If one increased and another reduced/decreased then the formula is P - Q - P×Q100 = 35 - 15 - 35×15100 = 20 - 5·25 = 14·75% বা 14 of 34% increase
In a 500m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has s start of 140 m. Then, A wins by :
Correct Answer:
D: 10m
Explanation:
In a 500m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has s start of 140 m. Then, A wins by : Correct Answer 10m Hints: Win post এ যেতে A কে যেতে হবে (500 - 140) বা 360meter যখন A যায় 3 meter, তখন B যায় 4 meter A যায় 360 meter তখন B যায় (4/3) × 360 = 480 meter তাই তখন A win post এ পৌছে যায়, B যায় 480 meter এবং 20 meter বাকি থাকে।
A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?
Correct Answer:
D: (2L+1)/3
Explanation:
A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece? Correct Answer (2L+1)/3 Let length of piece A = 2x - 1 length of piece B = x 2x - 1 + x = L = >3x - 1 = L = >x = (L + 1)/3 length of piece A = 2[(L + 1)/3] - 1 = (2L + 2 - 3)/3 = (2L - 1)/3
The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is :
Correct Answer:
C: 3 km/hr
Explanation:
The speed of a boat in still water is 10 km/hr. If it can travel 26 km downstream and 14 km upstream in the same time, the speed of the stream is : Correct Answer 3 km/hr Hints: ধরি, stream এর speed x km/hr এখন, উভয়ক্ষেত্রে একই সময় লাগে, সময় = দূরুত্ব /বেগ 26 /(10 + x) = 14/(10 - x) 260 - 26x = 140 + 14x 40x = 120 x = 3 km/hr
In how many ways can the letters of the word 'LEADER' be arranged?
Correct Answer:
C: 360
Explanation:
In how many ways can the letters of the word 'LEADER' be arranged? Correct Answer 360 Hints: LEADER এ ৬টি শব্দ আছে, এর মধ্যে ২ টি E সাজানো উপায় = 6!/2! = (6 × 5 × 4 × 3 × 2 × 1)/ (2 ×1) = 360
The angle between the minute hand and the hour hand of a clock when the times 4.20?
Correct Answer:
B: 10০
Explanation:
The angle between the minute hand and the hour hand of a clock when the times 4.20? Correct Answer 10০ (11M-60H)/2=(11×20-60×4)/2=(220-240)/2=-10Ans:100
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 Desiccate অর্থ শুষ্ক করা।
A bar of soap has a volume of 18 cubic inches. Jasim used it until it measured 2.75 inches by 2 inches by 1 inch. How many cubic inches of soap did jasim use?
Correct Answer:
D: 12.5
A cyclist travels x miles in w hours and z minutes. What is the cyclist's speed in miles per hours and z minutes. What is the cyclist's speed in miles per hour?
Correct Answer:
D: 60x/(60w+z)
Explanation:
A cyclist travels x miles in w hours and z minutes. What is the cyclist's speed in miles per hours and z minutes. What is the cyclist's speed in miles per hour? Correct Answer 60x/(60w+z) d = s×t t = z/60 + w so s = 60x/(60w + z)
The market value of a 10.5% stock, in which an income of Tk. 756 is dervided by investing Tk.900, brokerage being 1/4%, is :
Correct Answer:
C: Tk. 124.75
Explanation:
The market value of a 10.5% stock, in which an income of Tk. 756 is dervided by investing Tk.900, brokerage being 1/4%, is : Correct Answer Tk. 124.75 Hints: income 756 Tk হলে investment = 9000Tk income 21/2 Tk হলে investment = (9000/756 × 21/2) = 125Tk 100 Tk stock এর জন্য investment = 125Tk market value = (125 - 1/4) = 124.75
If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n ?
Correct Answer:
C: 27
Explanation:
If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n ? Correct Answer 27 we must take such a value of n for which the average must be in between 18 to 21, inclusive. It means 21 can be the average . We are looking fro greatest value of n. So, we must take 21 as average of this 3 numbers. 16 + 20 + n = 3×21 = > 36 + n = 63 ∴n = 27.
A red house is built from red bricks . A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from ?
Correct Answer:
C: glass
Explanation:
A red house is built from red bricks . A blue house is built from blue bricks. A white house is built from white bricks. Then what is a greenhouse made from ? Correct Answer glass Questionnaire মানে লিখিত প্রশ্নাবলী।
Two groups of tourist each have 60 people. If three-fourth (i. e. 75%) of the first group & two-third of the 2nd group baord buses to travel to a museum, how many more people of the first group board buses compared to the second group?
Correct Answer:
A: 5
Mr. Hashem owns a mango garden withs 220 mango trees in it. Each mango tree of that garden produces from 20 to 30 pounds of mangoes each year. Which of the following could be the total number of pounds of mangoes produced per year?
Correct Answer:
B: 5,400
Explanation:
Mr. Hashem owns a mango garden withs 220 mango trees in it. Each mango tree of that garden produces from 20 to 30 pounds of mangoes each year. Which of the following could be the total number of pounds of mangoes produced per year? Correct Answer 5,400 Minimum production = 220×20 = 4400 pounds Maximum production = 220×30 = 6600 pounds So, production will be 4400 to 6600 pounds per year.
If 3 is added to both the numerator & the denominator of a fraction, it becomes 5/7. If 9 is subtracted from both the numerato & denominator, it become 1/3. What is the fraction?
Correct Answer:
B: 12/18
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 monotonous মানে একঘেয়ে, বৈচিত্র্যহীন interesting মানে চিত্তাকর্ষক, কৌতুহল - উদ্দীপক তাই এরা opposite
In a certain village, m liters of water are required per household per month. At this rate if there are n households in the village, how long (in months) will p liters of water last?
Correct Answer:
A: p/mn
If 4x larger than the sum x & 3y by 9, then x is larger than y by how much?
Correct Answer:
A: 3
Explanation:
If 4x larger than the sum x & 3y by 9, then x is larger than y by how much? 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
If A's income is 25% less than that of B, then how much percent is B's income more than that of A?
Correct Answer:
A: 33 1/3%
Explanation:
If A's income is 25% less than that of B, then how much percent is B's income more than that of A? Correct Answer 33 1/3% increase/decrease100±Increae/decrease = 25100 - 25 = 2575 = 13 = 33·33 or 3313% Increase = + and decrease = - will be used.
Experts say that 25% of all serious bicycle accidents involve head injuries and of all such head injuries, 80% are fatal. What percentage of all serious bicycle accidents involve fatal head injuries?
Correct Answer:
B: 20%
If x+y=4 and x-y=3, then x+2y is :
Correct Answer:
B: 4.5
Explanation:
If x+y=4 and x-y=3, then x+2y is : Correct Answer 4.5 Here, x + y = 4 And, x - y = 3 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - So, 2x = 7 [by addition] or, x = 7/2 = 3.5 So, 3.5 + y = 4 [from first equation] or, y = 4 - 3.5 = 2.5 Then, x + 2y = 3.5 + 2×0.5 = 3.5 + 1 = 4.5
If 25% of 220 equals 5.5% of w, then what is w?
Correct Answer:
D: 1,000
Explanation:
If 25% of 220 equals 5.5% of w, then what is w? Correct Answer 1,000 Here, 5.5% of w = 25% of 220 or, 5.5/100 of w = 25/100 of 220 or, w = (25/100)×220×(100/5.5) = 1000
A triangle has a perimeter of 36 centimeters. If the length of each side is increased by 50, the new perimeter will be?
Correct Answer:
C: 54 cm
Explanation:
A triangle has a perimeter of 36 centimeters. If the length of each side is increased by 50, the new perimeter will be? Correct Answer 54 cm A 50% increase in the side lengths will result in a 50% increase in the perimeter as well. S, the new perimeter of the triangle = 36 + 50% of 36 = 36 + 18 = 54 cm
If 15 men working at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 men manufacture in 40 minutes?
Correct Answer:
B: 54
A student multiplied a number by 3/5 instead of 5/3. What is the percentage of error in the calculation?
Correct Answer:
D: 64%
Explanation:
A student multiplied a number by 3/5 instead of 5/3. What is the percentage of error in the calculation? Correct Answer 64% Hints: ধরি, number টি x তাহলে error = 5x/3 - 3x/5 = 16x /15 % of error = (16x/15) × (3/5x) × 100 % = 64%
If there are 300 calories in 100 grams of a certain food, how many calories are there in a 30 gram certain of that food?
Correct Answer:
A: 90
When the numerator of a frction increases by 4, the fraction increases by 2/3. The denominator of the fraction is :
Correct Answer:
D: 6
Explanation:
When the numerator of a frction increases by 4, the fraction increases by 2/3. The denominator of the fraction is : Correct Answer 6 Hints: ধরি, function টি x/y, তাহলে (x + y) /y - x/y = 2/3 4/y = 2/3 y = (4 × 2) /2 = 6
If x is an odd integer and y an even integer which of the following statements is (are) alwayes true? 1. x+y is odd 2. xy is odd 3. 2x+y is even
Correct Answer:
D: 1 and 3 only
A 45,000 liter water tank is to filled at the rate 220 liters per minute. Estimates to the nearest half hour, how long it will take to fill the tank?
Correct Answer:
B: 3.5 hours
Explanation:
A 45,000 liter water tank is to filled at the rate 220 liters per minute. Estimates to the nearest half hour, how long it will take to fill the tank? Correct Answer 3.5 hours Assume that the tank fills in x minutesBy Direct Proportion,x1/y1 = x2/y2220/1 = 45000/xx = 45000/220x = 204.54 x = 205 minutes (approx.)Divide x by 60 in order to convert from Minutes to Hours⇒ 205/60 = 3.41 hoursEstimating to nearest half hours, The 45000 L tank is filled in 3.5 hours at the rate of 220 L/m
Brighto soap powder is packed in cubeshaped cartons. A carton measures 10 cm on each side. The company has decided to increase the length of each edge of the carton by 10%. How much has the volume increased? (cc = cubic centimeters)
Correct Answer:
D: 331 cc
Explanation:
Brighto soap powder is packed in cubeshaped cartons. A carton measures 10 cm on each side. The company has decided to increase the length of each edge of the carton by 10%. How much has the volume increased? (cc = cubic centimeters) Correct Answer 331 cc Initial volume = 103 cc = 1000 cc New side length = 10 + 10% of 10 = 10 + 1 = 11 New volume = 113 cc = 1331 cc Increase in volume = 1331 - 1000 = 331 cc
If the length of each of the sides of three square plots is increased by 50 percent, how much does the watch gain in one day?
Correct Answer:
D: 125%
The width of a rectangular field is 1/3 times its length. What is the area of the field if the length of the field is 120 yards?
Correct Answer:
D: 4,800 square yards
In a school election with three candidate, Abdul got 120 votes, Luna got 50 votes and Karim got 30 vote. What percentage of the total number of votes did Abdul get?
Correct Answer:
A: 60%
Explanation:
In a school election with three candidate, Abdul got 120 votes, Luna got 50 votes and Karim got 30 vote. What percentage of the total number of votes did Abdul get? Correct Answer 60% Abdul gets = 120 / (120 + 50 + 30) × 100% = 60%
If the product of 3 consecutive integers is 120, then the sum of the integers is :
Correct Answer:
B: 15
Explanation:
If the product of 3 consecutive integers is 120, then the sum of the integers is : Correct Answer 15 Let the first integer be x - 1. Then the next two integers would be x and x + 1. So: (x - 1)× x × (x + 1) = 120 = > (x² - 1)x = 120 = > x³ - x = 120 ∴x = 5 , Check 5³ - 5 = 125 - 5 = 120. So, x = 5. The other two numbers are 4 and 6 which are equal to x - 1 and x + 1 respectively. Now the total of these numbers is 3x = 3×5 = 15.
If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is :
Correct Answer:
B: 26
Explanation:
If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is : Correct Answer 26 If we assume the smaller number to be n, Then the larger number = 3n/2 As the larger number is 13 more than the smaller number, we can say (3n/2) - n = 13 Or, (n/2) = 13 Or, n = 26
A watch gains 7 minutes and 6 seconds every 6 days. if the rate of gain is constant, how much does the watch gain in one day?
Correct Answer:
B: 1 min 11 sec
Explanation:
A watch gains 7 minutes and 6 seconds every 6 days. if the rate of gain is constant, how much does the watch gain in one day? Correct Answer 1 min 11 sec Here, 7 min 6 sec = 7×60 + 6 sec = 426 sec The clock in 6 days gains = 426 sec So, the clock in 1 day gains = 426/6 = 71 sec = 1 min 11 sec
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is the number?
Correct Answer:
C: 8
Explanation:
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is the number? Correct Answer 8 Hints: ধরি সংখ্যটি, x তাহলে, 3{2x + 9} = 75 2x + 9 = 25 2x = 25 - 9 x = 8
The number of girls in a class is 5 times the number of boys. Which of the following can not be the total number of children in the class?
Correct Answer:
C: 35
Explanation:
The number of girls in a class is 5 times the number of boys. Which of the following can not be the total number of children in the class? Correct Answer 35 Hints: এটি Ans দেখে solve করতে হবে boy এর সংখ্যা b এবং girl এর সংখ্যা 5b এখন 5b + b = 6b এখানে, 35 কে 6 দিয়ে নি:শেষে ভাগ করা যায় না। কাজেই সঠিক উত্তরঃ 35
The difference between the cost price and sale price of an article is Tk. 240. If the profit is 20%, the selling price is :
Correct Answer:
A: Tk. 1240
Explanation:
The difference between the cost price and sale price of an article is Tk. 240. If the profit is 20%, the selling price is : Correct Answer Tk. 1240 Hints: ধরি cost price x তাহলে 20% profit এ sell price হবে x + x এর 20% = x + 0.2x = 1.2x 1.2x - 1x = 240 .2x = 240 x = 1200 Selling price = 1200 + 240 = 1440
Sum of two numbers is 15 and their difference is 13. Identify the smaller number.
Correct Answer:
A: 1
Explanation:
Sum of two numbers is 15 and their difference is 13. Identify the smaller number. Correct Answer 1 Let, large number x, small number y given, x + y = 15..............(১) x - y = 13................(২) সমীকরণ (১) - (২) 2y = 2 so, y = 1
How many times in a day, the hands of a clock are straight?
Correct Answer:
D: 48
Explanation:
How many times in a day, the hands of a clock are straight? Correct Answer 48 Hints: প্রতি ঘন্টায় দুইবার ঘন্টা এনং মিনিটের কাটা Straight হয় যেমন ১২.০০ টায় একবার এবং ১২.৩০ এ আরেকবার, ২৪ ঘন্টায় তাহলে ৪৮ বার।
Of the following which is the greatest ?
Correct Answer:
D: 126/250
Explanation:
Of the following which is the greatest ? Correct Answer 126/250 এখানে, 1/2 = 0.5. 7/15 = 0.46667 49/100 = 0.49 126/250 = 0.504 ভাগ করে দেখা যাচ্ছে, 126/250 এটাই সবথেকে বড় মান পাওয়া গেছে
The sum of two numbers is 25 and their difference is 13. find their product.
Correct Answer:
B: 114
Explanation:
The sum of two numbers is 25 and their difference is 13. find their product. Correct Answer 114 Hints: a + b = 25, a - b = 13 2a = 25 + 13 = 38 a = 19 এবং b = 25 - a = 25 - 19 = 6 ab = 114
0.03 times of 0.05 is -
Correct Answer:
D: 0.0015
Explanation:
0.03 times of 0.05 is - Correct Answer 0.0015 ০.০৩ × ০.০৫ = ০.০০১৫ এখানে, ৩ আর ৫ গুণ করলে ১৫ হয় এবং চারটা সংখ্যার আগে পয়েন্ট তাই। ০.০০১৫ হয়ছে চাররা সংখ্যর আগে পয়েন্ট দেওয়া হয়ছে
If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is :
Correct Answer:
C: 19 minutes
Explanation:
If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is : Correct Answer 19 minutes Hints: উভয় ক্ষেত্রেই train টি একই দূরত্ব অতিক্রম করে। তখন বেগ kmph এ দেওয়া কিন্তু সময় দেওয়া মিনিটে। এই kmph এর মানকে 60 দ্বারা ভাগ করে মিনিটে নিতে হবে। ধরি, original time t. প্রথম ক্ষেত্রে দূরুত্ব = বেগ × সময় = 40 /60 (t + 11) দ্বিতীয় ক্ষেত্রে, দুরুত্ব = 50/60 (a + 5) এখন, 40/60(t + 11) = 50/60 (t + 5) t = 19 minutes