mathematics MCQs
Showing 50 questions (Total: 16798)
48.95-32 .006 =?
Correct Answer:
C: 16.944
Explanation:
48.95-32 .006 =? Correct Answer 16.944 48.950 - 32.006 = 16.944
In a group of 52 persons , 16 drink tea but not coffee and 33 drink tea. How many drink coffee but not tea?
Correct Answer:
C: 19
Explanation:
In a group of 52 persons , 16 drink tea but not coffee and 33 drink tea. How many drink coffee but not tea? Correct Answer 19 Total persons = 52 Tea but not coffee = 16 and tea = 33 ∴Both tea and coffee = 33 - 16 = 17 ∴Coffee but not tea = 52 - (16 - 17) = 19
125 gallins of a mixture contains 20% water , What amount of additional water should be added such that water content be raised to 25% ?
Correct Answer:
D: 813gallons
Explanation:
125 gallins of a mixture contains 20% water , What amount of additional water should be added such that water content be raised to 25% ? Correct Answer 813gallons সবগুলোই Nature বা প্রকৃতি সম্পর্কিত। Lily ফুল।
There are two stations of length 162 meters and 120 meters respectively . A train takes 15 seconds to pass first station and 18 seconds to pass another station . Determine the length of the train ?
Correct Answer:
A: 90 m
A man rows a certain distance along the stream and against the stream in 1 hour and 1.5 hours respectively . If the velocity of the current is 3 km /hr. what is the speed of a man in still water?
Correct Answer:
D: 15 km /hr
Explanation:
A man rows a certain distance along the stream and against the stream in 1 hour and 1.5 hours respectively . If the velocity of the current is 3 km /hr. what is the speed of a man in still water? Correct Answer 15 km /hr North of Sylhet is Meghalaya and East of Sylhet is Assam.
The sum of ages of 5 children born at the intervals of three years each is 50 years what is the age of the youngest child?
Correct Answer:
A: 4 years
Explanation:
The sum of ages of 5 children born at the intervals of three years each is 50 years what is the age of the youngest child? Correct Answer 4 years Let ages of children are x, X + 3, X + 6, X + 9, X + 12 respectively. Now, X + X + 3 + X + 6 + X + 9 + X + 12 = 50 5X + 30 = 50 5X = 20 X = 4 Age of the youngest child is 4 years.
A and B invest in a business in the ratio 3:2 . If 5% of the total profit goes to charity and A's share is Tk. 855 the total profit is -
Correct Answer:
D: Tk. 1500.00
Explanation:
A and B invest in a business in the ratio 3:2 . If 5% of the total profit goes to charity and A's share is Tk. 855 the total profit is - Correct Answer Tk. 1500.00 Let the total profit be Tk. 100. After paying to charity, A's share = (95*3/5) = Tk. 57. If A's share is Tk. 57, total profit = Tk. 100. If A's share is Tk. 855, total profit = (100/57*855) = 1500.
(227 -75 +12) is equal to -
Correct Answer:
C: 33
Explanation:
(227 -75 +12) is equal to - Correct Answer 33 সবচেয়ে নিচের point টিতেই সাবচেয়ে বেশি pressure দিবে।
The price of 10 chairs is equal to that of 4 tables . The price of 15 chairs and 2 tables together is Tk. 4000. The total price of 12 chairs and 3 tables is-
Correct Answer:
D: None of these
Explanation:
The price of 10 chairs is equal to that of 4 tables . The price of 15 chairs and 2 tables together is Tk. 4000. The total price of 12 chairs and 3 tables is- Correct Answer None of these Assume the cost of Table and Chair is Tk. X and Tk. Y Write the Equation for the Question: •The price of 10 chairs is equal to that of 4 tables 10X = 4Y Y = 5x/2 •The price of 15 chairs and 2 tables together is Tk. 4000. 15X + 2*Y = 4000 15X + 2*5x/2 = 4000 20X = 4000 X = 200 •Substitute X value in Equation. So, Y = (5/2*200) Y = 500 •The total price of 12 chairs and 3 tables is, 12X + 3Y = 12*200 + 3*500 = 2400 + 1500 = 3900 The total price of 12 chairs and 3 tables is 3900 Taka.
A leading library charges c cents for the first week that a book is loaned and f cents for each day over one week. What is the cost for taking out a book for d days. Where d is greater than?
Correct Answer:
C: c +f(d-7)
Explanation:
A leading library charges c cents for the first week that a book is loaned and f cents for each day over one week. What is the cost for taking out a book for d days. Where d is greater than? Correct Answer c +f(d-7) বাংলাদেশে রাখাইন উপজাতির প্রধান বাসস্থান হলো কক্সবাজার জেলা। বান্দারবান, রাঙ্গামাটি, খাগড়াছড়ি, চট্টগ্রাম, বরগুনা ও পটুয়াখালী জেলায় কিছু সংখ্যক রাখাইন বসবাস করে।
Six years ago, the ratio of ages of Kunal and Sagars was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. what is Sagar's age at present ?
Correct Answer:
C: 16 years
Explanation:
Six years ago, the ratio of ages of Kunal and Sagars was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. what is Sagar's age at present ? Correct Answer 16 years Let the ages of Kunal and Sugar 6 years ago be 6x and 5x years respectively. Then, {(6x + 6) + 4}/{(5x + 6) + 4} = 11/10 ⇒10(6x + 10) = 11(5x + 10) ⇒5x = 10 ⇒x = 1 ∴ Sagar's present age = (5x + 6) = 16 years.
An Amount of tk. 366 is to be divided among P,Q and R in such a manner that Q gets two- third as much as P and R together , and P may get half as much as Q and R together . What is the share of P?
Correct Answer:
B: 122
Explanation:
An Amount of tk. 366 is to be divided among P,Q and R in such a manner that Q gets two- third as much as P and R together , and P may get half as much as Q and R together . What is the share of P? Correct Answer 122 প্রথম মুলিম ও আফ্রিকান দেশ হিসেবে বাংলাদেশকে স্বীকৃতি দিয়েছিল সেনেগাল ( ১ ফেব্রুয়ারি ১৯৭২ )। মালয়েশিয়া ২৫ ফেব্রুয়ারি ১৯৭২, প্রথম আরব দেশ হিসেবে ইরাক ৮ - জুলাই ১৯৭২ এবং ইরান স্বীকৃতি দেয় ২২ ফেব্রুয়ারি ১৯৭৪।
A wheel rotates 10 times per minutes and moves 20 m during each rotation . How many feet does the wheel move in 1 hour?
Correct Answer:
D: 12000
Explanation:
A wheel rotates 10 times per minutes and moves 20 m during each rotation . How many feet does the wheel move in 1 hour? Correct Answer 12000 বীরশ্রেষ্ঠ মুন্সী আব্দুর রউফ ফরিদপুর জেলায় ১৯৪০ সালের ৮ মে জন্মগ্রহন করেন। মুক্তিযুদ্ধ চলাকালীন ১৯৭১ সালের ৮ এপ্রিল তিনি রাঙ্গামাটি জেলার নানিয়ার চর উপজেলায় বুড়িঘাট এলাকায় চিংড়ি খালের পাড়ে শহীদ হন।
On dividing an individual number by 342, we get 47 as remainder. If the same number is divided by 18, what will be the remainder?
Correct Answer:
D: 11
Explanation:
On dividing an individual number by 342, we get 47 as remainder. If the same number is divided by 18, what will be the remainder? Correct Answer 11 Severe Acute Respiratory Syndrome (SARS) is a serious form of Pneumonia. It is causes by a virus that was first identified in 2003.
A Person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Correct Answer:
A: 7.2
Explanation:
A Person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? Correct Answer 7.2 Speed = 600 meters / 5 minutes = 600 × 60 /5 × 1000 km/hr = 7.2 km/hr
A pump can fill a tank with water in 2 hours . Because of a leak , it took 213 hours to fill the tank.The leak can drain all the water of the tank in -
Correct Answer:
B: 14 hours
Explanation:
A pump can fill a tank with water in 2 hours . Because of a leak , it took 213 hours to fill the tank.The leak can drain all the water of the tank in - Correct Answer 14 hours Work done by the leak in 1 hour = 1/2−3/7 = 1/14 ∴ The leak will empty the tank in 14 hours
If m and n are whole numbers such that mn=121, the value of (m-1)n+1 is
Correct Answer:
A: 1000
Explanation:
If m and n are whole numbers such that mn=121, the value of (m-1)n+1 is Correct Answer 1000 We know that (11)^2 = 121. Putting m = 11 and n = 2, we get: (m - 1)^(n + 1 ) = (11 - 1)^(2 + 1) = (10)^3 = 1000
The difference between simple and compound interest on a sum of money at 20% per annum for 3 years is Tk. 48. What is the sum ?
Correct Answer:
C: Tk. 375
Explanation:
The difference between simple and compound interest on a sum of money at 20% per annum for 3 years is Tk. 48. What is the sum ? Correct Answer Tk. 375 Let principal amount be Tk.100. Then, S.I. = (100 × 20 × 3)/100 = Tk.60 and C.I. = 100 (1 + 20/100)^3−100 = 100 × (6/5)^3−100 = 364/5 ∴ C.I. - S.I. = 364/5−60 = 64/5 If the difference is Tk.64/5, Principal = Tk.100 If difference is Tk.48 Principal = (100 × 5/64) × 48 = Tk.375
If the square of an odd natural number is divided by 8, then the remainder will be
Correct Answer:
A: 1
Explanation:
If the square of an odd natural number is divided by 8, then the remainder will be Correct Answer 1 Odd natural number 1,3,5,7,9 ....... 32 = 9 ∴ 9/8 এর reminder 1 52 = 25 ∴ 25/8 এর reminder 1 So, Ans. 1
If 3 men or 6 boys can do a piece of work in 10 days,working 7 hours a day; how many days will it take to complete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day ?
Correct Answer:
B: 7.5
Explanation:
If 3 men or 6 boys can do a piece of work in 10 days,working 7 hours a day; how many days will it take to complete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day ? Correct Answer 7.5 3 men = 6 boys So (6 men + 2 boys) = (12 boys + 2 days) = 14 boys More work, More days (direct proportion) More boys, Less days (indirect ") More hours per day, less days ( " " ) Work 1 : 2 Boys 14 : 6 : : 10 : x Hours per day 8 : 7 ∴(1×14×8×x) = 2×6×7×10 x = 840/112 = 7.5
The least prime number is .
Correct Answer:
C: 2
Find the compound interest at the rate of 10% per annum for four yearss on the principal which in four years at the rate of 4% per annum gives tk. 1600 as simple interest.
Correct Answer:
A: tk. 4641
Explanation:
Find the compound interest at the rate of 10% per annum for four yearss on the principal which in four years at the rate of 4% per annum gives tk. 1600 as simple interest. Correct Answer tk. 4641 দীনবন্ধু মিত্রের ‘নীল - দর্পণ’ (১৮৬০) নাটকটি ঢাকা থেকে প্রকাশিত প্রথম গ্রন্থ। এছাড়া দীনবন্ধু মিত্রের অন্য কয়েকটি নাটক হলো - নবীন তপস্বিনী, লীলাবতী ও কমলে কামিনী।
A bag contains an equal number of one rupee , 50 paisa and 25 paisa coins . If the total value is TK. 35 , how many coins of each type are there?
Correct Answer:
A: 20
Explanation:
A bag contains an equal number of one rupee , 50 paisa and 25 paisa coins . If the total value is TK. 35 , how many coins of each type are there? Correct Answer 20 Let X coins of each type of there Total Value = Tk. 35 Now, X + X/2 + X/4 = 35 4X + 2X + X = 140 7X = 140 X = 20
Two trains of equal length , running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in -
Correct Answer:
D: 14.4 seconds
Explanation:
Two trains of equal length , running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in - Correct Answer 14.4 seconds Let the length of each train be x meter. Then, speed of 1st train = x/18 m/sec Speed of 2nd train = x/12 m/sec Now, When both trains cross each other, time taken = 2x/(x/18 + x/12) = 2x/{(2x + 3x)/36} = (2x × 36)/5x = 72/5 = 14.4seconds
A boat can travel with a speed of 13 km/hr in still water . If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream .
Correct Answer:
A: 4 hours
Explanation:
A boat can travel with a speed of 13 km/hr in still water . If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream . Correct Answer 4 hours Speed downstream = (13 + 4) km/hr = 17 km/hr Time taken to travel 68 km downstream = 68/17 hours = 4 hours
The ratio between the perimeter and the breadth of a rectangle is 5 :1 . If the area of the rectangle is 216 cm2. what is the lenth of the rectangle?
Correct Answer:
C: 18 cm
Explanation:
The ratio between the perimeter and the breadth of a rectangle is 5 :1 . If the area of the rectangle is 216 cm2. what is the lenth of the rectangle? Correct Answer 18 cm 2(l + b)/b = 5/1 = > 2l + 2b = 5b = > 3b = 2l = >b = (2/3)l Then, Area = 216 cm^2 = > l x b = 216 = > l x (2/3)l = 216 = >l = 18 cm.
A bag contains 4 white , 5 red and 6 blue balls. Three balls are drawn at rand dom from the bag .The probability that all of them are red.is :
Correct Answer:
B: 291
Explanation:
A bag contains 4 white , 5 red and 6 blue balls. Three balls are drawn at rand dom from the bag .The probability that all of them are red.is : Correct Answer 291 Let S be the sample space Then, n(S) = number of ways of drawing 3 balls out of 15 = 15C3 = (15 × 14 × 13)/(3 × 2 × 1) = 455 Let E = event of getting all the 3 red balls ∴n(E) = 5C3 = 5C2 = (5 × 4)/(2 × 1) = 10 ∴P(E) = n(E)/n(S) = 10/455 = 291
Due to reduction in the bus price by 15% , the number of passengers on a certain route increased by 40% . What will be the percentage increase in revenue?
Correct Answer:
C: 19
Explanation:
Due to reduction in the bus price by 15% , the number of passengers on a certain route increased by 40% . What will be the percentage increase in revenue? Correct Answer 19 বিশ্ব এখন ধ্বংসের দ্বারপ্রান্তে। তাকে বাঁচাও, এটাই শেষ সময়!’ এমনই আকুতি, উৎকন্ঠা ও আর্তনাদে পোল্যান্ডের ক্যাটওয়াইচ শহরে ‘বিশ্ব জলবায়ু সম্মেলন - ২০১৮’ বা ‘কপ - ২৪’ অনুষ্ঠিত হয়েছিল।
Hassan completed 1/3 portion of a job in 8 days and left. Then Jashim was recruited and he worked for 5 days and left the job. Hassan again joined and completed the rest of the Josim require to complete the job alone?
Correct Answer:
C: 30 days
Explanation:
Hassan completed 1/3 portion of a job in 8 days and left. Then Jashim was recruited and he worked for 5 days and left the job. Hassan again joined and completed the rest of the Josim require to complete the job alone? Correct Answer 30 days The Sunshine Policy is the theoretical basis for South Korea's foreign policy towards North Korea.
Jerin has 40% more books than Rashed However, if she gives 45 of her books to Rashed, then Rashed will have 10% more books than Jerin . How many books did Jerin begin with ?
Correct Answer:
C: 245
Explanation:
Jerin has 40% more books than Rashed However, if she gives 45 of her books to Rashed, then Rashed will have 10% more books than Jerin . How many books did Jerin begin with ? Correct Answer 245 The New Development Bank (NDB), formerly referred to as the BRICS Development Bank, is a multilateral development bank established by the BRICS states (Brazil, Russia, India, China and South Africa).
x =5 এবং y = 2 হলে ১৬x2 + 56xy +49 y2 - এর মান কত?
Correct Answer:
খ: ১১৫৬
Explanation:
x =5 এবং y = 2 হলে ১৬x2 + 56xy +49 y2 - এর মান কত? সঠিক উত্তর ১১৫৬ 16x² - 56xy + 49y2 = (4x)² – 2.4x.7y + (7y)² = (4x - 7y)² = (4.5 - 7.2)² = (20 - 14)² = (6)² = 36
একটি গাড়ি ঘণ্টায় ২৫ মাইল বেগে ২ ঘণ্টা চলার পর পরবর্তী ৪ ঘন্টায় ৫২ মাইল পথ অতিক্রম করে । সম্পূর্ণ পথে গাড়ির গড় গতিবেগ কত?
Correct Answer:
খ: ১৭
Explanation:
একটি গাড়ি ঘণ্টায় ২৫ মাইল বেগে ২ ঘণ্টা চলার পর পরবর্তী ৪ ঘন্টায় ৫২ মাইল পথ অতিক্রম করে । সম্পূর্ণ পথে গাড়ির গড় গতিবেগ কত? সঠিক উত্তর ১৭ গড় গতিবেগ = মোট দূরত্ব /মোট সময় = {(২৫×২) + ৫২}/২ + ৪ = ৫০ + ৫২/৬ = ১০২/৬ = ১৭
বার্ষিক ৬% সরল সুদে ৫ বছরে পর কোনো টাকার সুদ ৯০০ টাকা হলে, আসল কত টাকা হবে?
Correct Answer:
খ: ৩০০০
Explanation:
বার্ষিক ৬% সরল সুদে ৫ বছরে পর কোনো টাকার সুদ ৯০০ টাকা হলে, আসল কত টাকা হবে? সঠিক উত্তর ৩০০০ আমরা জানি , আসল = (সুদ×১০০)/(সময়×হার) = (৯০০×১০০)/(৫×৬) = ৩০০০
In a garden , there are 10 rows and 12 columns of mango trees. The distance between two trees is 2 meters and a distance of one meter is left from all sides of the boundary of the garden . What is the length of the garden ?
Correct Answer:
C: 24 m
Explanation:
In a garden , there are 10 rows and 12 columns of mango trees. The distance between two trees is 2 meters and a distance of one meter is left from all sides of the boundary of the garden . What is the length of the garden ? Correct Answer 24 m Row = 10, Column = 12 In a rectangular garden in terms of row & column 1 is comon. So, the length = (12 - 1) x 2 + (1 + 1) = 22 + 2 = 24 (Ans.)
একজন ব্যক্তি মাসিক বেতনের ১৫ এক অংশ যাতায়াত ভাতা পান । তার মাসিক বেতন ৯০০০ টাকা হলে যাতায়াত ভাতা কত?
Correct Answer:
খ: ৬০০ টাকা
Explanation:
একজন ব্যক্তি মাসিক বেতনের ১৫ এক অংশ যাতায়াত ভাতা পান । তার মাসিক বেতন ৯০০০ টাকা হলে যাতায়াত ভাতা কত? সঠিক উত্তর ৬০০ টাকা যাতায়াত ভাতা = ৯০০০× ১/৫ = ১৮০০ টাকা
If w is 10 percent less than x, and y is 30 percent less than z , then why is what percent less than xz?
Correct Answer:
C: 37%
Explanation:
If w is 10 percent less than x, and y is 30 percent less than z , then why is what percent less than xz? Correct Answer 37% মিনস্ক বেলারুশ রাজধানী।
আমজাদ সাহেবের বাৎসরিক আয় ৫৭৬০ । তিনি ৩ মাসে যা খরচ করেন , ২ মাসে তা আয় করেন। বৎসর শেষে তিনি কত টাকা সঞ্চয় করেন?
Correct Answer:
ক: ১৯২০
Explanation:
আমজাদ সাহেবের বাৎসরিক আয় ৫৭৬০ । তিনি ৩ মাসে যা খরচ করেন , ২ মাসে তা আয় করেন। বৎসর শেষে তিনি কত টাকা সঞ্চয় করেন? সঠিক উত্তর ১৯২০ ৩ মাসে সঞ্চয় করে = ১ মাসের টাকা ∴১২ মাসে সঞ্চয় করে = ১২/৩ মাসের টাকা = ৪ মাসের টাকা এখন, ১২ মাসে আয় = ৫৭৬০ টাকা ∴ ৪ মাসে আয় = (৫৭৬০×৪)/১২ টাকা = ১৯২০ টাকা
The operation @ is defined for all integers x and y as x @ y=xy-y. If x and y are positive integers, which of the following cannot be Zero?
Correct Answer:
D: (x+1)@y
Explanation:
The operation @ is defined for all integers x and y as x @ y=xy-y. If x and y are positive integers, which of the following cannot be Zero? Correct Answer (x+1)@y সর্বশেষ মিউনিখ নিরাপত্তা সম্মেলন ফেব্রুয়ারি, 2019 অনুষ্ঠিত হয়েছে।
একটি রাস্তায় ১০০ মি. অন্তর গাছ লাগনো হলো। প্রথম গাছ ও শেষ গাছের মধ্যে দূরত্ব ২ কি.মি. হলে রাস্তায় মোট কতটি গাছ লাগনো হলো ?
Correct Answer:
গ: ২১
Explanation:
একটি রাস্তায় ১০০ মি. অন্তর গাছ লাগনো হলো। প্রথম গাছ ও শেষ গাছের মধ্যে দূরত্ব ২ কি.মি. হলে রাস্তায় মোট কতটি গাছ লাগনো হলো ? সঠিক উত্তর ২১ ২ কি.মি = ২০০০ মি. ∴মোট গাছ = {(২০০০/১০০} + ১ = ২০ + ১ = ২১ টি
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is -
Correct Answer:
A: 1/9
Explanation:
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is - Correct Answer 1/9 One person can select one house out of 3 = 3C1 ways = 3. Hence, three persons can select one house out of 3 in 3 x 3 x 3 = 9. Therefore, the probability that all three apply for the same house is 1/9.
একটি সংখ্যা ৭৪২ থেকে যত বড় ৮৩০ থেকে তত ছোট । সংখ্যাটি কত?
Correct Answer:
ঘ: ৭৮৬
Explanation:
একটি সংখ্যা ৭৪২ থেকে যত বড় ৮৩০ থেকে তত ছোট । সংখ্যাটি কত? সঠিক উত্তর ৭৮৬ সংখ্যাটি = (৭৪২ + ৮৩০)/২ = ৭৮৬
একই হার সুদে ৩০০ টাকার ৪ বছরের সুদ এবং ৫০০ একত্রে ২২২ টাকা হলে, শতকরা বার্ষিক সুদের হার কত?
Correct Answer:
খ: ৬%
Explanation:
একই হার সুদে ৩০০ টাকার ৪ বছরের সুদ এবং ৫০০ একত্রে ২২২ টাকা হলে, শতকরা বার্ষিক সুদের হার কত? সঠিক উত্তর ৬% আসল = ৩০০×৪ = ১২০০ টাকার ১ বছরের সুদ আবার, ৫০০×৫ = ২৫০০ টাকার ১ বছরের সুদ (১২০০ + ২৫০০) = ৩৭০০ টাকার ১ বছরের সুদ ২২২ টাকা ∴১০০ টাকার ১ বছরের সুদ = ১০০×২২২/৩৭০০ = ৬%
If the perimeter of a certain rectangle is 76 m and its area is 360 m2 , then what is the length of its shortest side ?
Correct Answer:
C: 18
Explanation:
If the perimeter of a certain rectangle is 76 m and its area is 360 m2 , then what is the length of its shortest side ? Correct Answer 18 Perimeter . = 2(l + b) = 76 i.e. l + b = 38 Area = l*b = 360 :et's think of two numbers whose sum is 38 and whose products is 360 (Instead of making a quadratic equation and creating more difficulty for ourselves) The numbers are 18 and 20 Smaller side = 18
A cement mixture is composed of 3 elements. Weight, 1/3 is water and the remaining 12 pounds of the mixture is gravel .What is the weight of the entire mixture in pounds?
Correct Answer:
D: 180
Explanation:
A cement mixture is composed of 3 elements. Weight, 1/3 is water and the remaining 12 pounds of the mixture is gravel .What is the weight of the entire mixture in pounds? Correct Answer 180 The Non - Aligned Movement (NAM) is a forum of 120 developing world states that are not formally aligned with or against any major power bloc. After the United Nations, it is the largest grouping of states worldwide.
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions . The number of choices available to him is .
Correct Answer:
B: 196
Explanation:
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions . The number of choices available to him is . Correct Answer 196 If the student answers 4 questions from the first five questions he can choose 6 questions from the remaining 8 questions. Therefore number of combinations will be 5C4 × 8C6 = 140 If the student answers 5 questions from the first five questions he can choose 5 questions from the remaining 8 questions. Which will be 5C5 × 8C5 = 56 Therefore total number of choices = 140 + 56 = 196
If x≥8 and y≤3, then which of the following must be true?
Correct Answer:
D: x-y≥5
Explanation:
If x≥8 and y≤3, then which of the following must be true? Correct Answer x-y≥5 জাতিসংঘ বিষয়ক আলোচনায় পি৫ (P5) বলতে বুঝায় - Permanent 5 countries of the Security Council.
৩০ জন লোক কোনো কাজ ২৪ দিনে করতে পারে। কাজ আরম্ভের ১২ দিন পর ১৫ জন লোক চলে গেলে বাকি লোক কত দিনে অবশিষ্ট কাজ সমাধান করতে পারবে?
Correct Answer:
ক: ২৪ দিন
Explanation:
৩০ জন লোক কোনো কাজ ২৪ দিনে করতে পারে। কাজ আরম্ভের ১২ দিন পর ১৫ জন লোক চলে গেলে বাকি লোক কত দিনে অবশিষ্ট কাজ সমাধান করতে পারবে? সঠিক উত্তর ২৪ দিন দিন বাকী = (২৪ - ১২) = ১২ দিন অবশিষ্ট লোক = (৩০ - ১৫) = ১৫ জন ৩০ জন লোক অবশিষ্ট কাজ করে = ১২ দিনে ১৫ জন লোক অবশিষ্ট কাজ করে = (৩০×১২)/১৫ দিনে = ২৪ দিনে
কোনো স্কুলে ৭০% শিক্ষার্থী ইংরেজি এবং ৮৯% শিক্ষার্থী বাংলায় পাশ করেছে। কিন্তু ১০% উভয় বিষয়ে ফেল করেছে। যদি উভয় বিষয়ে ৩০০ জন শিক্ষার্থী পাশ করে থাকে তবে ঐ স্কুলে কতজন শিক্ষার্থী পরীক্ষা দিয়েছে?
Correct Answer:
খ: ৫০০ জন
Explanation:
কোনো স্কুলে ৭০% শিক্ষার্থী ইংরেজি এবং ৮৯% শিক্ষার্থী বাংলায় পাশ করেছে। কিন্তু ১০% উভয় বিষয়ে ফেল করেছে। যদি উভয় বিষয়ে ৩০০ জন শিক্ষার্থী পাশ করে থাকে তবে ঐ স্কুলে কতজন শিক্ষার্থী পরীক্ষা দিয়েছে? সঠিক উত্তর ৫০০ জন অন্তত এক বিষয়ে পাশ = (১০০ - ১০)% = ৯০% ∴উভয় বিষয়ে পাশ = ৭০% + ৮০% - ৯০% = ৬০% শর্তমতে, ৬০% = ৩০০ জন ১০০% = (৩০০/৬০)× ১০০ = ৫০০ জন
a2 is divisible by both 40 and 75 if a has exactly three distinct prime factors, which of the following could be the value of 'a'
Correct Answer:
B: 60
Explanation:
a2 is divisible by both 40 and 75 if a has exactly three distinct prime factors, which of the following could be the value of 'a' Correct Answer 60 ১। হাইগ্রোমিটার - - বায়ুতে আদ্রতা পরিমাপক যন্ত্র ২। হাইড্রোমিটার - - তরলের আপেক্ষিক গুরুত্ব বা ঘনত্ব নির্ণায়ক। ৩। ল্যাক্টোমিটার - - দুধের বিশুদ্ধতা নির্ণায়ক
Three dice are thrown together . Find the probability of getting a total of at least 6 ?
Correct Answer:
A: 103108
Explanation:
Three dice are thrown together . Find the probability of getting a total of at least 6 ? Correct Answer 103108 Number of events of getting a total of less than 6 (event of getting a total of 3, 4 or 5) = 10 i.e. (1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 1) (1, 1, 3), (1, 3, 1), (3, 1, 1), (1, 2, 2), (2, 1, 2), (2, 2, 1). Therefore, probability of getting a total of less than 6 Number of favorable outcomes P(E6) = Total number of possible outcome = 10/216 = 5/108 Therefore, probability of getting a total of at least 6 = 1 - P(getting a total of less than 6) = 1 - 5/108 = (108 - 5)/108 = 103/108 These examples will help us to solve different types of problems based on probability for rolling three dice.