Average MCQs
Showing 50 questions (Total: 632)
If the average of two numbers is M, and the larger number is L, what is the other number?
Correct Answer:
C: 2M-L
Explanation:
If the average of two numbers is M, and the larger number is L, what is the other number? Correct Answer 2M-L average of two numbers is M one number is L let second number be X average = L + X/2 = > M = L + X/2 = > 2M = L + X = > 2M - L = X therefore,second number is 2M - L
The average weight of 3 young men is 53 kg. No one of them weighs less than 51 kg. What is the maximum weight of any one man?
Correct Answer:
C: 57
Explanation:
The average weight of 3 young men is 53 kg. No one of them weighs less than 51 kg. What is the maximum weight of any one man? Correct Answer 57 The total weight of them = 53×3 = 159 kg Minimum weight possible for any 2 of them = 51×2 = 102 kg Maximum weight of any 1 of them = 159 - 102 = 57 kg
If the sum of (3, 7 and x) is 18, then the average of (3, 7 and x) is
Correct Answer:
A: 6
Explanation:
If the sum of (3, 7 and x) is 18, then the average of (3, 7 and x) is Correct Answer 6 3+7+x=18x=8average=3+7+8/3=6
The total of 10 number is 462; the average of the first 4 numbers is 52; the average of the last 5 numbers is 38. What is the fifth number?
Correct Answer:
C: 64
Explanation:
The total of 10 number is 462; the average of the first 4 numbers is 52; the average of the last 5 numbers is 38. What is the fifth number? Correct Answer 64 The total of the first 4 numbers = 4×52 = 208 The total of the last 5 numbers = 5×38 = 190 The total of the (4 + 5 = 9) numbers = 208 + 190 = 398 So, the fifth number = 462 - 398 = 64
The average of five consecutive average number is 61. What is the difference between the highest and lowest number?
Correct Answer:
C: 8
Explanation:
The average of five consecutive average number is 61. What is the difference between the highest and lowest number? Correct Answer 8 Let, number be x, x + 2, x + 4, x + 6, and x + 8 Then ( x + x + 2 + x + 4 + x + 6 + x + 8)5 = 61 5x + 20 = 305 x = 57
The average of six numbers is 6. If 3 is subtracted from each of the numbers, what is the new average?
Correct Answer:
C: 3
Explanation:
The average of six numbers is 6. If 3 is subtracted from each of the numbers, what is the new average? Correct Answer 3 Sum of 6 numbers are = 6*6 = 36After subtracting 3 from each of the numbers, the new 6 numbers are = 36 - 6*3 = 18the new average = 18/6 = 3 (Ans)
The average of 6 numbers is 8.5 , when one number is discarded the average of the remaining numbers becomes 7.2 .what is the discarded number?
Correct Answer:
B: 15
Explanation:
The average of 6 numbers is 8.5 , when one number is discarded the average of the remaining numbers becomes 7.2 .what is the discarded number? Correct Answer 15 The average of 6 numbers is 8.5 So, the sum of 6 numbers is 8.5x6 or 51 The average of 5 numbers is 7.2 So, the sum of 5 numbers is 7.2x5 or 36 So, the discarded number is 51 - 36 or 15 Normal 0 false false false EN - US X - NONE X - NONE /* Style Definitions */ table.MsoNormalTable {mso - style - name:"Table Normal"; mso - tstyle - rowband - size:0; mso - tstyle - colband - size:0; mso - style - noshow:yes; mso - style - priority:99; mso - style - parent:""; mso - padding - alt:0in 5.4pt 0in 5.4pt; mso - para - margin - top:0in; mso - para - margin - right:0in; mso - para - margin - bottom:10.0pt; mso - para - margin - left:0in; line - height:115%; mso - pagination:widow - orphan; font - size:14.0pt; mso - bidi - font - size:15.0pt; font - family:SutonnyMJ;}
The average of four consecutive odd positive integers is always ---
Correct Answer:
C: an even number
Explanation:
The average of four consecutive odd positive integers is always --- Correct Answer an even number example: 1 + 3 + 5 + 7 = 16 average = 16/4 = 4 even number
If Tk. 45,000 was invested in the share market when the price per share was Tk. 90 and Tk. 30,000 was invested when the price per share was Tk. 100, what was the average price per share purchased?
Correct Answer:
D: Tk. 93.75
Ahsan travels for 6 hours at a rate of 50 miles per hour. His return trip takes 7.5 hours. What is his average speed for the whole trip?
Correct Answer:
A: 44.5 mph
Explanation:
Ahsan travels for 6 hours at a rate of 50 miles per hour. His return trip takes 7.5 hours. What is his average speed for the whole trip? Correct Answer 44.5 mph Total trip length = 2 × (50×6) = 2 × 300 = 600 miles Total time needed = 6 + 7.5 = 13.5 hr Average speed = 600 / 13.5 = 44.44 mph
একটি ক্লাসে ১৬ জন ছাত্রের গড় ওজন ৫০ কেজি এবং অবশিষ্ট ৪ জন ছেলের গড় ওজন ৪০ কেজি। ক্লাসের সকল ছেলের গড় ওজন কত?
Correct Answer:
খ: ৪৮ কেজি
Explanation:
একটি ক্লাসে ১৬ জন ছাত্রের গড় ওজন ৫০ কেজি এবং অবশিষ্ট ৪ জন ছেলের গড় ওজন ৪০ কেজি। ক্লাসের সকল ছেলের গড় ওজন কত? সঠিক উত্তর ৪৮ কেজি ১৬ জন ছাত্রের মোট ওজন = ১৬×৫০ = ৮০০ কেজি বাকি ৪ জন ছাত্রের মোট ওজন = ৪০×৪ = ১৬০ কেজি এখন, ১৬ + ৪ = ২০ জন ছাত্রের মোট ওজন = ৮০০ + ১৬০ = ৯৬০ কেজি সুতরাং, ২০ জন ছাত্রের গড় ওজন = ৯৬০/২০ = ৪৮ কেজি
In company X, the average salary of 10 of the employees is TK. 30,000 the average salary of 30 other employees is TK. 40,000 and the average salary of the remaining 20 employees TK. 60,000. What is the average salary of the 60 employees at the company ?
Correct Answer:
C: TK. 45,000
Explanation:
In company X, the average salary of 10 of the employees is TK. 30,000 the average salary of 30 other employees is TK. 40,000 and the average salary of the remaining 20 employees TK. 60,000. What is the average salary of the 60 employees at the company ? Correct Answer TK. 45,000 The average salary of 60 employees = (10 x 30000 + 30 x 40000 + 20 x 60000)/60 = 45000.
If the average of two numbers is M, and the larger is L, the other number is ---
Correct Answer:
C: 2M-L
Explanation:
If the average of two numbers is M, and the larger is L, the other number is --- Correct Answer 2M-L The total of the two numbers = 2 x M Therefore, the smaller number = 2M - L
After taking the 3rd quiz, the average score of a student dropped from 82 to 78. What was the score of his last quiz?
Correct Answer:
C: 70
Explanation:
After taking the 3rd quiz, the average score of a student dropped from 82 to 78. What was the score of his last quiz? Correct Answer 70 Total score of the first two quizzes = 82 x 2 = 164 Total score of the three quizzes = 78 x 3 = 234 Score of the last quiz = 234 - 164 = 70.
The average of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?
Correct Answer:
D: 15
Explanation:
The average of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number? Correct Answer 15 6 টি নাম্বার এর সমষ্টি ( 6×8.5) = 51 5 টি নাম্বার এর সমষ্টি ( 5 ×7.2) = 36 ( - ) বিয়োগ করে, = 15 Discarded সংখ্যাটি = 15
The average weight of 3 young men is 53 kg. No one of them weight less than 51 kg. What is the maximum weight of any one man ?
Correct Answer:
C: 57
Explanation:
The average weight of 3 young men is 53 kg. No one of them weight less than 51 kg. What is the maximum weight of any one man ? Correct Answer 57 (51 + 51 + x)/3 = 53 = > 51 + 51 + x = 159 = > 102 + x = 159 = > x = 159 - 102 x = 57
Find the average oof all the numbers between 6 and 34 which are divisible by 5.
Correct Answer:
B: 20
Explanation:
Find the average oof all the numbers between 6 and 34 which are divisible by 5. Correct Answer 20 numbers between 6 and 34 divisible by 5 are 10, 15, 20, 25, 30 ∴ Average = (10 + 15 + 20 + 25 + 305) = 1005 = 20
Find the average of all whole number 1 and 100 that end in 3.
Correct Answer:
A: None of them
Explanation:
Find the average of all whole number 1 and 100 that end in 3. Correct Answer None of them The numbers are 3, 13, 23.33.......93So difference between each number is same. This series in AP.The avarage formula for AP is (first + last term)/2Therefore the answer is (3 + 93)/2 = 48.
Average of all prime numbers between 30 to 50 is:
Correct Answer:
D: 39.5
Explanation:
Average of all prime numbers between 30 to 50 is: Correct Answer 39.5 There are five prime numbers between 30 and 50. They are 31,37,41,43 and 47. ∴ the required average = 5(31 + 37 + 41 + 43 + 47) = 5199 = 39.8
If the average of two numbers is M, and the larger number is L, what is the other number ?
Correct Answer:
C: 2M-L
Explanation:
If the average of two numbers is M, and the larger number is L, what is the other number ? Correct Answer 2M-L average of two numbers is M one number is L let second number be X average = L + X/2 = > M = L + X/2 = > 2M = L + X = > 2M - L = X therefore,second number is 2M - L
Jamal's average score in 4 tests was 80 out of a possible 100 . If his scores in 2 of the tests were 65 and 70, what is the lowest that either of his other scores could have been ?
Correct Answer:
D: 85
Explanation:
Jamal's average score in 4 tests was 80 out of a possible 100 . If his scores in 2 of the tests were 65 and 70, what is the lowest that either of his other scores could have been ? Correct Answer 85 sum of 4 tests = 80*4 = 320sum of 2 tests = 65+70 = 135remaining score of the other 2 tests = 320-135 = 185As the highest number in exam is 100, so the lowest score he could have been = 185 - 100 = 85 (Ans)
Rashed's average on 4 tests is 80. Assuming he can earn no more than 100 on any test, what is the least he can earn on his 5th test and still have a chance for an average of 85 after seven tests ?
Correct Answer:
C: 75
If the average of 2x and 4x is 12, then x is equal to
Correct Answer:
C: 4
Explanation:
If the average of 2x and 4x is 12, then x is equal to Correct Answer 4 (2x + 4x)/2 = 12 বা, 3x = 12 so, x = 4
The average of four consecutive odd positive integers is always.
Correct Answer:
C: an even number
Explanation:
The average of four consecutive odd positive integers is always. Correct Answer an even number 1 + 3 + 5 + 7 = 16 average = 16/4 = 4 even number
The average daily earnings of a man who makes Tk 25 each of the first 9 days, Tk 30 each of the next 10 days and Tk 40 each of the last 11 days is Tk
Correct Answer:
B: 32.17
Explanation:
The average daily earnings of a man who makes Tk 25 each of the first 9 days, Tk 30 each of the next 10 days and Tk 40 each of the last 11 days is Tk Correct Answer 32.17 First 9 days = 9*25 = 225 tkNext 10 days = 10*30 = 300 tkLast 11 days = 11*40 = 440 tkTotal Earnings = 965 tkAverage daily earnings for 30 days = 965/30 = 32.17 (Ans)
যদি a,b,c এবং d এর গড় একটি বেজোড় পূর্ণসংখ্যা হয়, নিচের কোনটি a+b+c+d এর মান হতে পারে?
Correct Answer:
ঘ: ২০
নৌকা ও স্রোতের বেগ ঘন্টায় ১৮ কিলোমিটার ও ৬ কিলোমিটার । নদী পথে ১৮ কিলোমিটার রাস্তা অতিক্রম করে পুনরায় ফিরে আসতে কত সময় লাগবে?
Correct Answer:
খ: ৯ ঘন্টা
If 2x+2y=7z, then what is the average of x, y and z ?
Correct Answer:
A: 1.5z
Explanation:
If 2x+2y=7z, then what is the average of x, y and z ? Correct Answer 1.5z Given that, 2X + 2Y = 7Z So, X + Y = (7/2) Z Now, average = X + Y + Z/ 3 = { (7/2)Z + Z} /3 = 9Z/6 = 1.5 Z
The average of 2, 7, 6 and x is 5 and that of 18, 1, 6 x and y is 10. The value of y is
Correct Answer:
B: 20
Explanation:
The average of 2, 7, 6 and x is 5 and that of 18, 1, 6 x and y is 10. The value of y is 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
The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?
Correct Answer:
C: 40 years
Explanation:
The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member? Correct Answer 40 years Hints: Let, 4 years ago 9 person total age = x Now, Increase age of 10 member with old man = 10 × 4 = 40 Total present age of 10 member = x + 40 Again let present age of younger member = y Total present age of 10 new member = x + y According to question. x + 40 / 10 = x + y/ 10 x + 40 = x + y y = 40 Age of younger member = 40
The average of 7 consecutive number is 20. The largest of these numbers is :
Correct Answer:
C: 23
Explanation:
The average of 7 consecutive number is 20. The largest of these numbers is : Correct Answer 23 Hints: The average of seven consecutive number is - a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 + a + 6/7 = 20 7a + 21 = 20 × 7 7a = 140 - 21 a = 119/7 = 17 Target = 17 + 6 = 23 (ans)
A person travels form P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is the average speed for both the trips?
Correct Answer:
D: 50 kmph
Explanation:
A person travels form P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is the average speed for both the trips? Correct Answer 50 kmph let, P to Q is x km. Thus he travels 2x km 1st Speed = 40kmph and 2nd speed will be = 40 + 40X50% = 60kmph Now, time to go P to Q = x/40 and time to come from Q to P is = x/60 and total time taken = x/40 + x/60 = 5x/120 = x/24 Thus, Average speed = 2x/(x/24) = (24X2x)/x = 48kmph Ans: Average Speed 48km/h
Johan walks 10 miles at an average rate of 2 miles per hour and returns on a bicycle at an average rate of 10 miles per hour. How long does the entire trip take him?
Correct Answer:
D: 6 hours
Explanation:
Johan walks 10 miles at an average rate of 2 miles per hour and returns on a bicycle at an average rate of 10 miles per hour. How long does the entire trip take him? Correct Answer 6 hours We know, v = st∴t = sv∴Time to go = 102 = 5 hourand time to return = 101 = 1 hour∴Total time = 5 + 1 = 6 hour
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.
The average of three numbers is 24. . If two of the numbers are 21 and 23, the third number is --
Correct Answer:
C: 28
Explanation:
The average of three numbers is 24. . If two of the numbers are 21 and 23, the third number is -- Correct Answer 28 Let, third number is x so, (x + 21 + 33)/3 = 24 বা, x = 72 - 44 = 28
A motorist travels to a place 150 km away at an average speed of 50 km and returns at 30 km per hour. His average speed for the whole jurney in km per hour is :
Correct Answer:
B: 37.5
Explanation:
A motorist travels to a place 150 km away at an average speed of 50 km and returns at 30 km per hour. His average speed for the whole jurney in km per hour is : Correct Answer 37.5 Hints: বেগ = দূরুত্ব /সময় average speed = 150 + 150 / (150/50 + 150/30) = 37.5km/h
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is :
Correct Answer:
D: 35
Explanation:
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is : Correct Answer 35 Hints: number = 27 × 5 - 25 × 4 = 35 (ans)
On Tuesday, 30 of the students in a class took a test and their average score was 83.5 . On Thursday , the other 5 students took the test, and their average score was 94. what was the average for the entire class?
Correct Answer:
C: 85%
Explanation:
On Tuesday, 30 of the students in a class took a test and their average score was 83.5 . On Thursday , the other 5 students took the test, and their average score was 94. what was the average for the entire class? Correct Answer 85% Average = 30×83·5 + 5×9430 + 5 = 2505 + 47035 = 85 = 85%
If the average of 7 , 13 , p , and q is 17 , what is the average of ( p +1) and (q -9) ?
Correct Answer:
B: 25
Explanation:
If the average of 7 , 13 , p , and q is 17 , what is the average of ( p +1) and (q -9) ? Correct Answer 25 Average, 7 + 13 + p + q4 = 17Or, 20 + p + q = 68⇒p + q = 68 - 20∴p + q = 48 Again, average p + 11 + q + 92 = p + q + 22 = 48 + 22 = 25
The average of a set of 12 numbers, which includes 35, is N. If 35 is removed from the set and 38 is added to the set, then what is the average of the new set of numbers in terms of N ?
Correct Answer:
C: N +1/4
Explanation:
The average of a set of 12 numbers, which includes 35, is N. If 35 is removed from the set and 38 is added to the set, then what is the average of the new set of numbers in terms of N ? Correct Answer N +1/4 Difference = 38 - 35 = 3∴ Average = 12N + 312 = N + 312 = N + 14
The average of x and y is 20. If z = 5 , what is average of x, y and z?
Correct Answer:
D: 15
Explanation:
The average of x and y is 20. If z = 5 , what is average of x, y and z? Correct Answer 15 Sum of x and y = 20×2 = 40 Average of x, y and z = (40 + 5)/3 = 15
If the average of 5 consecutive integers is 12 , what is the sum of the least and the greatest of the integers?
Correct Answer:
D: 24
Explanation:
If the average of 5 consecutive integers is 12 , what is the sum of the least and the greatest of the integers? Correct Answer 24 let, 5 consecutive numbers are x, (x + 1), (x + 2), (x + 3), (x + 4) = x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 12×5⇒5x + 10 = 60⇒5x = 50∴ x = 10∴x + 4 = 10 + 4 = 14∴ The of the least and the greatest of the integer 14 = 10 + 14 = 24
A car traveled 75% of the way from town A to town B at an average speed of 50 mph. The car travels at an average speed of S mph for there remaining part of the trip. The average speed for the entire trip was 40 mph. What is the value of S, in mph?
Correct Answer:
A: 25
Explanation:
A car traveled 75% of the way from town A to town B at an average speed of 50 mph. The car travels at an average speed of S mph for there remaining part of the trip. The average speed for the entire trip was 40 mph. What is the value of S, in mph? Correct Answer 25 Let the total distance be D. Distance travelled at 50 mph = 75% of D = 0.75D Time taken = 0.75D/50 hour Distance travelled at S mph = 25% of D = 0.25D Time taken = 0.25D/S hour Now, 0.75D/50 + 0.25D/S = D/40 or, 0.75/50 + 0.25/S = 1/40 [ dividing both sides by D] or, 0.25/S = 1/40 - 0.75/50 = (5 - 4×0.75)/200 = 1/100 or, S = 0.25×100 = 25 mph
৮ জনের একটি দলে ৬৫ কেজি ওজনের একজনের পরিবর্তে নতুন একজন যোগ দেয়ায় তাদের গড় ওজন ২.৫ কেজি বেড়ে যায়। নতুন ব্যক্তির ওজন কত কেজি?
Correct Answer:
ঘ: ৮৫
Explanation:
৮ জনের একটি দলে ৬৫ কেজি ওজনের একজনের পরিবর্তে নতুন একজন যোগ দেয়ায় তাদের গড় ওজন ২.৫ কেজি বেড়ে যায়। নতুন ব্যক্তির ওজন কত কেজি? সঠিক উত্তর ৮৫ এখানে, নতুন ব্যক্তির ওজন ৬৫ কেজির বেশি। তার ৬৫ কেজির অতিরিক্ত ওজনের কারনে ৮ জনের মোট ওজন বাড়ে = ৮×২.৫ = ২০ কেজি। সুতরাং, নতুন ব্যক্তির ওজন = ৬৫ + ২০ = ৮৫ কেজি
১০ টি সংখ্যার যোগফল ৪৬২। প্রথম ৪টির গড় ৫২ এবং শেষ ৫টির গড় ৩৮। পঞ্চম সংখ্যাটি কত?
Correct Answer:
ঘ: ৬৪
Explanation:
১০ টি সংখ্যার যোগফল ৪৬২। প্রথম ৪টির গড় ৫২ এবং শেষ ৫টির গড় ৩৮। পঞ্চম সংখ্যাটি কত? সঠিক উত্তর ৬৪ প্রথম ৪টির যোগফল = ৪*৫২ = ২০৮শেষ ৫টির যোগফল = ৫*৩৮ = ১৯০ পঞ্চম সংখ্যাটি = ৪৬২-২০৮-১৯০ = ৬৪ (উত্তর)
The average of 6 numbers is 8.5, when one number is discarded the average of the remaining numbers becomes 7.2. What is the discarded number?
Correct Answer:
C: 15.0
Explanation:
The average of 6 numbers is 8.5, when one number is discarded the average of the remaining numbers becomes 7.2. What is the discarded number? Correct Answer 15.0 6 টি নাম্বার এর সমষ্টি ( 6×8.5) = 51 5 টি নাম্বার এর সমষ্টি ( 5 ×7.2) = 36 ( - ) বিয়োগ করে, = 15 Discarded সংখ্যাটি = 15
৭টি সখ্যার গড় ৪০। এর সাথে ৩টি যোগ হলে, সংখ্যা ৩টির গড় ২১। সমষ্টিগতভাবে ১০টি সংখ্যার গড় কত?
Correct Answer:
ঘ: ৩৪.৩
Explanation:
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If Tk. 30,000 was invested in the share market when the price per share was Tk. 50 and Tk. 45,000 was invested when the price per share was Tk. 25, what was the average price per share purchased?
Correct Answer:
D: Tk. 31.25
A train passes city X at 8.25 am and city Y at 11.05 am. The distance between cities X and Y is 320 miles. What is the average speed, in miles per hour, of the train?
Correct Answer:
B: 120
Explanation:
A train passes city X at 8.25 am and city Y at 11.05 am. The distance between cities X and Y is 320 miles. What is the average speed, in miles per hour, of the train? Correct Answer 120 Here, 8:25 am to 11:05 am = 2 hr 40 min = 160 min = 160/60 hr = 8/3 hr Speed = distance / time = 320 / (8/3) = 120 mph
A train went 300 miles from City X to City Y at an average speed of 100 mph. At what speed did it travel on the way back if its average speed for the whole trip was 120 mph?
Correct Answer:
C: 150 mph