mathematics MCQs
Showing 50 questions (Total: 16798)
If the following series continues to follow the same Pattern , what will be the next number : 2, 6, 3, 9, 6 ...... ?
Correct Answer:
D: 14
Explanation:
If the following series continues to follow the same Pattern , what will be the next number : 2, 6, 3, 9, 6 ...... ? Correct Answer 14 in each pair, 2nd number is three times of 1st number, so blank number = 6×3 = 18
A can complete a certain work in 4 minutes, B in 5 minutes, C in 6 minutes, D in 10 minutes and E in 12 minutes. The average number of units of work completed by them per minute will be
Correct Answer:
D: None of these
Explanation:
A can complete a certain work in 4 minutes, B in 5 minutes, C in 6 minutes, D in 10 minutes and E in 12 minutes. The average number of units of work completed by them per minute will be Correct Answer None of these (A + B + C + D + E) can do in 1 Minute = (1/4) + (1/5) + (1/6) + (1/10) + (1/12) part = (15 + 12 + 10 + 6 + 5)/60 = 48/60 = 4/5 So, average = (4/5)/5 = 4/(5×5) = 4/25 = 0.16
একাদশ জাতীয় সংসদের প্রথম অধিবেশন কত তারিখ অনুষ্ঠিত হয়?
Correct Answer:
ক: ৩০ জানুয়ারি , ২০১৯
Explanation:
একাদশ জাতীয় সংসদের প্রথম অধিবেশন কত তারিখ অনুষ্ঠিত হয়? সঠিক উত্তর ৩০ জানুয়ারি , ২০১৯ একাদশ জাতীয় সংসদ নির্বাচন অনুষ্ঠিত হয় ৩০ ডিসেম্বর, ২০১৮। সংসদ সদস্যরা শপথ গ্রহণ করেন ৩ জানুয়ারি, ২০১৯। মন্ত্রিপরিষদ শপথ গ্রহণ করেন ৭ জানুয়ারি এবং প্রথম অধিবেশন শুরু হয় ৩০ জানুয়ারি, ২০১৯ ।
(159)×(59)=?
Correct Answer:
C: 9
৭২×৭৫×৩৩×৪৩×২৮ কে নূন্যতম কত দ্বারা গুন করলে গুণফল একটি পূর্ণবর্গ হবে?
Correct Answer:
গ: ২
Explanation:
৭২×৭৫×৩৩×৪৩×২৮ কে নূন্যতম কত দ্বারা গুন করলে গুণফল একটি পূর্ণবর্গ হবে? সঠিক উত্তর ২ Hence the radius of the each circle is (162×2) = 4 So, area of the two circles is 2π(4)2 = 100.5312 square unit area of the rectangle is 128 square unit So, remaining area is (128 - 100.5312) = 27.4688 square unit = 27 square unit
The maximum recommended pulse rate R, when exercising .for a person who is x years of age is given by the equation R = 176 - 0.8 x . what is the age, in years , of a person whose maximum recommended pulse rate when exercising is 140?
Correct Answer:
B: 45
Explanation:
The maximum recommended pulse rate R, when exercising .for a person who is x years of age is given by the equation R = 176 - 0.8 x . what is the age, in years , of a person whose maximum recommended pulse rate when exercising is 140? Correct Answer 45 প্রশ্নে বলা হচ্ছে যে, x বছর বয়সের একজন লোক যখন Exercise করে তখন তার Pulse এর সমীকরণ হলো R = 176 - 0.8x, যেখানে R সর্বোচ্চ Pulse rate নির্দেশ করে । একজন ব্যক্তির Exercising এর সময় Pulse rate 140 হলে তার বয়স কত ? দেয়া আছে, Maximum pulse rate R = 140 এবং x = বয়স । অতএব, R = 176 - 0.8x = > 140 = 176 - 0.8x = > 0.8x = 176 - 140 = 36 x = 36/0.8 = 45
Find the factors of the expression x3-3x2-x+3
Correct Answer:
C: (x-3(x-1)
Explanation:
Find the factors of the expression x3-3x2-x+3 Correct Answer (x-3(x-1) x3 - 3x2 - x + 3 = x2(x - 3) - 1(x - 3) = (x - 3)(x2 - 1) = (x - 3)(x + 1)(x - 1)
A boat goes 8 km in one hour along the stream and 2 km in one hour agaist the stream. The speed i km/hr of the stream is
Correct Answer:
C: 3
Explanation:
A boat goes 8 km in one hour along the stream and 2 km in one hour agaist the stream. The speed i km/hr of the stream is Correct Answer 3 ধরি, নৌকার বেগ x km/hr স্রোতের বেগ y km/hr ∴ x + y = 8 x - y = 2 [ - করে] 2y = 6 ∴ y = 3
Sita's age is is double of Geetha's Some years back, Geetha was 30 years younger than Sita , Find Sita's age
Correct Answer:
B: 60
Explanation:
Sita's age is is double of Geetha's Some years back, Geetha was 30 years younger than Sita , Find Sita's age Correct Answer 60 Let, Geetha's age = x Sita's " = 2x Now, 2x - x = 30 x = 30 So sita's age = 2x = 2 × 30 = 60
The average weight of 39 students is 30 kg. By the admission of a new student, the average comes down to 29.8 kg. Find the weigth of the new student.
Correct Answer:
A: 22 kg
Explanation:
The average weight of 39 students is 30 kg. By the admission of a new student, the average comes down to 29.8 kg. Find the weigth of the new student. Correct Answer 22 kg Let, the sum of 39 students' age = a, And the weight of the new student = b So, a39 = 30 ⸫ a = 39 × 30 And, a + b40 = 29.8 ⇒ a + b = 29.8 × 40 ⇒ b = 29.8 × 40 - a = 29.8 × 40 - 39 × 30 = 22 kg
If x+y=7 and x2+y2=25 which one the following equals the value of x3+y3?
Correct Answer:
D: 91
Explanation:
If x+y=7 and x2+y2=25 which one the following equals the value of x3+y3? Correct Answer 91 Disbursment of loan was continuously increased in Titas Bank. Where the increasing order: 13 19 27 34 42
You can now buy 5 more Mangoes with TK. 75 due to the reduction in price by 20 percent . Calculate the current price of one dozen of Mangoes .
Correct Answer:
C: 36
x+2x=3 হলে x3+8x3 এর মান কত হবে?
Correct Answer:
ঘ: ৯
Explanation:
x+2x=3 হলে x3+8x3 এর মান কত হবে? সঠিক উত্তর ৯ Total disbursment of loan was Tk. 203 crores 25% of 203 = 203 × 25100 crores = 50.75 crores So, chitra was the bank which disbursment of loans was more than 25 percent of all Bank.
The average of two numbers is 6.5 and square root of their product is 6 . What are the number?
Correct Answer:
D: 9 and 4
Explanation:
The average of two numbers is 6.5 and square root of their product is 6 . What are the number? Correct Answer 9 and 4 {(x + y)/2} = 6.5 = > x + y = 13 আবার, ✓(xy) = 6 = > xy = 36 Option থেকে 9 + 4 = 14 এবং 6×4 = 36 So, Ans. 9 and 4
A sum opf money at simple interest amounts to Tk. 815 in 3 years and to Tk. 854 in 4 years. The sum is-
Correct Answer:
B: Tk. 698
Explanation:
A sum opf money at simple interest amounts to Tk. 815 in 3 years and to Tk. 854 in 4 years. The sum is- Correct Answer Tk. 698 Simple Internet for 1 year = Tk. (854 - 815) = Tk. 39 Simple Internet for 1 year = Tk. (39×3) = Tk. 117 ∴ sum = Tk. (815 - 117) = Tk. 698
30% apples out of 450 are rotten . How many apples are in good condition?
Correct Answer:
B: 315
Explanation:
30% apples out of 450 are rotten . How many apples are in good condition? Correct Answer 315 450×(70/100) = 315
a+b=9m এবং ab=18m2 হলে, a-b এর মান কত?
Correct Answer:
ক: ± 9 মি
Three consecutive eveb numbers are such that if the first is divided by 6, the second by 4 and the third by 7, the sum of the quotients is 38. Find the numbers.
Correct Answer:
D: 66,68, 70
Explanation:
Three consecutive eveb numbers are such that if the first is divided by 6, the second by 4 and the third by 7, the sum of the quotients is 38. Find the numbers. Correct Answer 66,68, 70 এটি দুটি উপায় করা যায়, একটি উপায়, a6 + a + 24 + a + 47 = 38 ; এটি solve করতে হবে। যেখানে three consecutive even number হচ্ছে a,a + 2,a + 4 অথবা Answer এ দেয়া option গুলো বসিয়ে যোগফল 38 আসে নাকি check করা। এখন (d) তে, 666 + 684 + 707 = 38
what is the value of 28×2442×8=?
Correct Answer:
C: 2
Explanation:
what is the value of 28×2442×8=? Correct Answer 2 (√28 × √24)÷(√42 × √(8)) = (√4 × √(3))÷√6 = √2
a is greater than b by 2 and b is greater than c by 10 . If a+ b+ c =130 , then (b+c) -a =?
Correct Answer:
C: 34
Explanation:
a is greater than b by 2 and b is greater than c by 10 . If a+ b+ c =130 , then (b+c) -a =? Correct Answer 34 Let, c = x ∴b = x + 10 and a = x + 12 Now,a + b + c = 130 = > x + 12 + x + 10 + x = 130 = > 3x = 130 - 22 = 108 ∴x = (108/3) = 36 i.e, c = 36 ∴ b = 46 and a = 48 ∴(b + c) - a = (46 + 36) - 48 = 34 Ans.
The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son . What is the present age of the son?
Correct Answer:
B: 20 years
Explanation:
The present age of son is half of the present age of his mother. Ten years ago, his mother's age was thrice the age of her son . What is the present age of the son? Correct Answer 20 years Let, present age of son be 'x' " " " mother be '2x' So, 10 years ago, age of son was 'x - 10' " " " " mother was '2x - 10' ATQ, 2x - 10 = 3(x - 10) = > 3x - 2x = 30 - 10 ∴x = 20 Ans.
'বর্ণালী ও 'শুভ্র' কী?
Correct Answer:
ক: উন্নত জাতের ভুট্রা
Explanation:
'বর্ণালী ও 'শুভ্র' কী? সঠিক উত্তর উন্নত জাতের ভুট্রা বর্ণালী, শুভ্রা ও উত্তরণ উন্নত জাতের ভুট্টা। মহানন্দা, ল্যাংড়া ও মােহনভােগ উন্নত জাতের আম । বলাকা, দোয়েল, আকবর ও অগ্রণী উন্নত জাতের গম । ইরাটম, প্রগতি, আশা ও চান্দিনাম উন্নত জাতের ধান।
১৯ মে, ২০১২ তারিখে কোন বাংলাদেশি এভারেষ্ট জয় করেন?
Correct Answer:
ক: নিশাত মজুমদার
Explanation:
১৯ মে, ২০১২ তারিখে কোন বাংলাদেশি এভারেষ্ট জয় করেন? সঠিক উত্তর নিশাত মজুমদার বিশ্বের সর্বোচ্চ পর্বতশৃঙ্গ (হিমালয় পর্বতমালা) 'মাউন্ট এভারেস্ট' নেপাল ও ভারতের মধ্যে অবস্থিত। এর উচ্চতা ৮,৮৫০ মিটার বা ২৯,০৩৫ ফুট। প্রথম বাংলাদেশি মুসা ইব্রাহীম ২০১০ সালের ২৩ মে এভারেস্ট জয় করেন। নিশাত মজুমদার ১ম বাংলাদেশি নারী যিনি ২০১২ সালের ১৯ মে এভারেস্ট জয় করেন।
The least number which should be added 2497 so that the sum is exactly divisible 5,6,4 and 3 is -
Correct Answer:
A: 23
Explanation:
The least number which should be added 2497 so that the sum is exactly divisible 5,6,4 and 3 is - Correct Answer 23 5,6,4 এবং 3 এর ল.সা.গু = 60 Now, 2497÷60 = 41, অবশিষ্ট 37 ∴(60 - 37) = 23 যােগ করতে হবে।
TI - এর সদর দপ্তর কোথায়?
Correct Answer:
ক: বার্লিন
Explanation:
TI - এর সদর দপ্তর কোথায়? সঠিক উত্তর বার্লিন ১৯৯৩ সালে TI বা Transparency International প্রতিষ্ঠা করেন পিটার এজেন। এর সদর দপ্তর জার্মানির বার্লিন শহরে। সারাবিশ্বে দুর্নীতির বিরুদ্ধে লড়াই করাই এ সংস্থার মূল কাজ।
The average age of a group of 10 students is 15 years . when 5 more students joined the group , the average age rose by 1 year. what is average age of the newly joined students?
Correct Answer:
C: 18
Explanation:
The average age of a group of 10 students is 15 years . when 5 more students joined the group , the average age rose by 1 year. what is average age of the newly joined students? Correct Answer 18 Let the sum of 5 new student’s age is x Then according to question, (150 + x)/15 = 16 = )150 + x = 240 = x = 90 Average of their ages = sum/number = )90/5 = 18
For what value of x between -4 and 4, inclusive ,is the value of x2 -10x + 16 the greatest?
Correct Answer:
A: -4
Explanation:
For what value of x between -4 and 4, inclusive ,is the value of x2 -10x + 16 the greatest? Correct Answer -4 x2 - 10x + 16 = ( - 4)^2 - 10.( - 4) + 16 = 32 + 40 = 72 x2 - 10x + 16 = 4^2 - 10.4 + 16 = 32 - 40 = - 8 x = - 4 inclusive ,is the value of x2 - 10x + 16 the greatest
The face value of 8 in the number 458926 is -
Correct Answer:
C: 8
Explanation:
The face value of 8 in the number 458926 is - Correct Answer 8 458926 এখানে 8 এর face value 8 (Ans) 8 এর place value 8000
The average of 2,7 and x is 5 and the average of 18, 1, 6 , 5 and y is 10 . What is the value of y?
Correct Answer:
D: 20
Explanation:
The average of 2,7 and x is 5 and the average of 18, 1, 6 , 5 and y is 10 . What is the value of y? Correct Answer 20 (2 + 7 + 6 + x)/4 = 5 x = 20 - 15 ∴x = 5 (18 + 1 + 6 + x + y)/5 = 10 30 + y = 50 ∴y = 20
Which of the following has most number of divisors?
Correct Answer:
D: 176
Explanation:
Which of the following has most number of divisors? Correct Answer 176 ‘বচন’ শব্দের অর্থ - সংখ্যার ধারণা। বাংলায় বচন ২ প্রকার। যথা : একবচন ও বহুবচন।
what is the next number in the following pattern ? 1, 1/2 , 1/4, 1/8 , __
Correct Answer:
D: 1/16
x2-x-30x2-36 এর লঘিষ্ঠ রূপ কোনটি?
Correct Answer:
ক: x+5x+6
Find the multiple of 11 in the following numbers.
Correct Answer:
C: 978626
Explanation:
Find the multiple of 11 in the following numbers. Correct Answer 978626 যে কোন সংখ্যার জোড় স্থানের অঙ্কগুলাের যােগফল - বিজোড় স্থানের অঙ্কগুলাের যােগফল = 0 কিংবা 11 দ্বারা বিভাজ্য হলে, উক্ত সংখ্যাটি 11 দ্বারা বিভাজ্য হবে। 978626 সংখ্যাটির (2 + 8 + 9) - (6 + 6 + 7) = 19 - 19 = 0 ∴11 দ্বারা বিভাজ্য
Find the mode of the following list of numbers : 2, 4, 6, 8, 2, 9, 4, 3, 8
Correct Answer:
C: 4
The sum of twice a number and three times of 42 is 238. what is the sum of trice the number and two times of 42?
Correct Answer:
A: 252
Explanation:
The sum of twice a number and three times of 42 is 238. what is the sum of trice the number and two times of 42? Correct Answer 252 Let the number be 'x' According to Question, 2x + 3 × 42 = 238 = > 22x = 238 - 126 = 112 ∴x = 56 ∴3x + 2 x 42 = 3 × 56 + 2 × 42 = 168 + 84 = 252
5 টাকায় 4 টি আম ক্রয় করে 5 টাকায় 6টি দরে বিক্রি করলে শতকরা কত লাভ বা ক্ষতি হবে?
Correct Answer:
খ: 3313% লাভ
A boy was asked to multply a number by 7/8 instead he divided the number by 7/8 and got the result 15/14 more than what he should have got if he had multiplied the number by 7/8. The number is ---
Correct Answer:
C: 4
Explanation:
A boy was asked to multply a number by 7/8 instead he divided the number by 7/8 and got the result 15/14 more than what he should have got if he had multiplied the number by 7/8. The number is --- Correct Answer 4 A boy was asked to multiply a number by 7/8, instead, he divided the number by 7/8 and got the result 15/14 more than what he should have got if he had multiplied the number by 7/8. The number is - Let, the number be x ATQ, 8x/7 - 7x/8 = 15/14 = > (64x - 49x)/56 = 15/14 = > 15x = 60 [ উভয়পক্ষকে 14 দ্বারা গুণ করে পাই ] = > x = 4
The total cost of flooring a room at Tk. 8.50 per square metre is TK. 510. If the length the room is 8 m , its breadth is -
Correct Answer:
B: 7.5 m
Explanation:
The total cost of flooring a room at Tk. 8.50 per square metre is TK. 510. If the length the room is 8 m , its breadth is - Correct Answer 7.5 m Area = (510/8.50) = (510/85)×10 = 60m² ∴Breadth = 60/8 = 7.5 m
AIIB কোন , আন্তর্জাতিক প্রতিষ্ঠানের বিকল্প হিসেবে ভূমিকা রাখতে পারে?
Correct Answer:
ক: WB
Explanation:
AIIB কোন , আন্তর্জাতিক প্রতিষ্ঠানের বিকল্প হিসেবে ভূমিকা রাখতে পারে? সঠিক উত্তর WB চীনের উদ্যোগে ২০১৬ সালে AIIB তথা Asian Infrastructure Investment Bank কার্যক্রম শুরু করে। এর সদর দপ্তর বেইজিং - এ। বর্তমান এর সদস্য সংখ্যা ৯৩টি। এটি বিশ্বব্যাংকের বিকল্প/সহায়ক সংস্থা হিসেবে কাজ করতে চায়।
If the perimeter of a rectangular garden plot is 34 feet and its area is 60 square feet, what is the length of each of the longer sides?
Correct Answer:
D: 12 feet
Explanation:
If the perimeter of a rectangular garden plot is 34 feet and its area is 60 square feet, what is the length of each of the longer sides? Correct Answer 12 feet Let the length be L and Breadth be B. Given Perimeter 2(L + B) = 34 - - - - - > Thus L + B = 17 LB = 60 - - - - - - > We can solve the equation but the best way will be to plugin. Note that A and B can be ruled out because the other side will be smaller. So the options are between C and D. Let L be 10 Ft then B = 7 ft and Area is 70 which is not true Let L be 12ft then B = 5 ft and Area is 60 - - - - - > Bingo...what we need.
Taka 4 is 20 percent of which number ?
Correct Answer:
D: None of these
30 men can do a piece of work in 16 days. How many men would be required to do the same work in 20 days?
Correct Answer:
A: 24
Explanation:
30 men can do a piece of work in 16 days. How many men would be required to do the same work in 20 days? Correct Answer 24 16 days required for = 30 men 1 " " " = 30×16 men 20 " " " = (30×16)/20 men = 24 men
3 men or 5 women or 8 boys can finish a work in 38 days. How many days will be required to complete the same work by 6 men , 10 women and 6 boys together ?
Correct Answer:
D: None of these
Explanation:
3 men or 5 women or 8 boys can finish a work in 38 days. How many days will be required to complete the same work by 6 men , 10 women and 6 boys together ? Correct Answer None of these Work done by 3 men = 5 women = 8 boys 1 man = 8/3 boys 6 men = 16 boys 1 woman = 8/5 boys 10 women = 16 boys Now, 6 men + 10 women + 6 boys = 16 + 16 + 6 = 38 boys 8 boys need 38 days 1 boy needs (38x8) days So, 38 boys need (38x8)/38 = 8days
Find the average of all whole numbers between 1 and 100 that end in 3.
Correct Answer:
D: None of these
A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who score 50% marks gets 20 marks more than the minimum pass marks. what is the minimum pass mark?
Correct Answer:
B: 80
Explanation:
A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who score 50% marks gets 20 marks more than the minimum pass marks. what is the minimum pass mark? Correct Answer 80 Let the maximum marks be 'x'. Then, according to the question. (25 % of x) + 30 = (50 % of x) - 20 ⇒ x/4 + 30 = x/2 - 20 ⇒ (x/4) - (x/2) = - 20 - 30 ⇒ (x - 2x)/4 = - 50 ⇒ - x/4 = - 50 ⇒ - x = - 200 ⇒ x = 200 So, the maximum marks are 200. Minimum passing marks are = x/4 + 30 = 200/4 + 30 = 50 + 30 = 80 marks Minimum passing marks are 80
ইউনেস্কাের প্রধান কার্যালয় কোথায় অবস্থিত?
Correct Answer:
ক: প্যারিস
Explanation:
ইউনেস্কাের প্রধান কার্যালয় কোথায় অবস্থিত? সঠিক উত্তর প্যারিস ইউনেস্কো জাতিসংঘের একটি বিশেষ সংস্থা যা শিক্ষা, বিজ্ঞান ও সংস্কৃতির প্রসার ও উন্নয়নে কাজ করে। এটি প্রতিষ্ঠিত হয় ১৯৪৫ সালে। এর সদর দপ্তর ফ্রান্সের প্যারিসে অবস্থিত।
A man can do piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?
Correct Answer:
B: 712% দিন
If 5 students run a mile in 5 minutes , how much time will 50 students take to run a mile?
Correct Answer:
B: 5minuts
A speed of 14 meters per second is the same as-
Correct Answer:
A: 50 km/hr
Explanation:
A speed of 14 meters per second is the same as- Correct Answer 50 km/hr 14m/sec = 14×(18/5)km/hour = 50.4 km/hour
Worker P is 50 % as efficient as worker Q. Worker R does half of the work done by P and Q together . If R alone does the work in 40 days , then P, Q, and R together can do the work in -
Correct Answer:
D: 1313 days
Explanation:
Worker P is 50 % as efficient as worker Q. Worker R does half of the work done by P and Q together . If R alone does the work in 40 days , then P, Q, and R together can do the work in - Correct Answer 1313 days অপশন (d) – তে প্রদত্ত তথ্যটি সত্য হলেই প্রশ্নের statement টি সত্য হবে। কেননা বাকি তিনটির দুটি অপশনে ক্রিকেটার ব্যতীত সাধারণ মানুষের ব্যাপারে কোনো স্পষ্ট ধারণা নাই। সাধারণ মানুষও ব্যাট ধরতে পারে।সুতরাং সেক্ষেত্রে সেতো ক্রিকেটার নয়। আবার (c) অনুযায়ী প্রদত্ত statement মিথ্যা।