mathematics MCQs
Showing 50 questions (Total: 16798)
The population of a metropolitan city doubled every 8 years from 1975 to 1999. what was the percentage increase in population during this time?
Correct Answer:
D: 800%
Explanation:
The population of a metropolitan city doubled every 8 years from 1975 to 1999. what was the percentage increase in population during this time? Correct Answer 800% Year 1975 to year 1999 = 24 years = three periods of '8 years' So, the population became (2 x 2 x 2 = 8) times of its initial population. Therefore, the population of the city increased to 8 x 100% = 800%.
If p and q are positive integers, each greater than 1, and if 37 (p-10 =29 (q-1), what is the least possible value of (p+q)?
Correct Answer:
A: 68
If (a+a+a)= (b+b+b+b) and (a+b)=7, then what is the value of (a2-b2)?
Correct Answer:
C: 7
The average daily wage of 10 workers is TK. 400. If the lowest wage is Tk. 300 what is the possible maximum wage in Tk. ?
Correct Answer:
D: 1300
Explanation:
The average daily wage of 10 workers is TK. 400. If the lowest wage is Tk. 300 what is the possible maximum wage in Tk. ? Correct Answer 1300 Total wage of 10 workers is Tk 4000 " " " " 99 " " " 2700 [as per wage Tk. 300] So, the possible maximum wage Tk (4000 - 2700) = Tk. 1300
The sum of k consecutive integers is 41. If the lest integers is -40,then k=?
Correct Answer:
C: 81
cotθ=?
Correct Answer:
B: cosθsinθ
Find the slope of the line 5x-5y=7
Correct Answer:
C: 1
Explanation:
Find the slope of the line 5x-5y=7 Correct Answer 1 5x - 5y = 7 5y = 5x - 7 y = 5x/5 - 7/5 y = 1.x - 7/5 রেখাটির slope = 1
If A,B,C and D are positive Integers such that 4A=9B,17C=11D. and 5C=12A. then the arrangement of the four numbers from greatest to least is --
Correct Answer:
C: DCAB
R is the brother of S and M is the father of R J isthe brother of P and P is the daughter of S. Who is the uncle of J?
Correct Answer:
A: R
If 3x-3x-1=18 the value of xx is:
Correct Answer:
B: 27
Explanation:
If 3x-3x-1=18 the value of xx is: Correct Answer 27 3x - 3x - 1 = 183x - 3x.13 = 183.3x - 3x3 = 182.3x = 543x = 273x = 33 x = 3 so xx = 33 = 27
কোন সংখ্যাটি ক্ষুদ্রতম?
Correct Answer:
ক: ১/১১
Which one is true for the mathematical expression 2n+2n-12n+1-2n=?
Correct Answer:
A: 3/2
Explanation:
Which one is true for the mathematical expression 2n+2n-12n+1-2n=? Correct Answer 3/2 2n + 2n - 12n + 1 - 2n = 2n + 2n.122n.2 - 2n = 2.2n + 2n÷22n(2 - 1) = 3.2n2.2n = 32
If 16x2x+4=43x+3, then x=
Correct Answer:
A: -5
Explanation:
If 16x2x+4=43x+3, then x= Correct Answer -5 162x + 4 = 43x + 3 (24)2x + 4 = (22)3x + 3 28x + 16 = 26x + 6 8x + 6x = 6x + 6 8x - 6x = 6 - 16 x = - 5
The average of 6 numbers is 8.5. When one number is discard, 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 discard, 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
Tamim runs diagonally across a rectangle filed twice that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards. That Tamim runs?
Correct Answer:
C: 100 yards
Explanation:
Tamim runs diagonally across a rectangle filed twice that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards. That Tamim runs? Correct Answer 100 yards ABD হতে, BD2 = AB2 + AD2 = 302 + 402 BD = 50 2BD = 50×2 = 100
A container holds 4 quarts of alcohol and 4 quarts of water. How many quarts of water must be added to the container to create a mixtore that is 3 parts alcohol to 5 parts water by volume ?
Correct Answer:
D: 8/3
If f(x)=5-2x and f(3k)=f(k+1),then f(k)= ?
Correct Answer:
C: 4
Solve the question : 3z-4=2z+5
Correct Answer:
A: -23
Explanation:
Solve the question : 3z-4=2z+5 Correct Answer -23 3z - 4 = 2z + 5 3z + 15 = 2z - 8 3z - 2z = - 8 - 15 so z = - 23
Find the L.C.M of (1-a2),1-a, (a-1)2
Correct Answer:
D: (1-a)2
Explanation:
Find the L.C.M of (1-a2),1-a, (a-1)2 Correct Answer (1-a)2 1st term = (1 - a)2 = (1 - a) (1 - a) 2nd term = 1 - a 3rd term = (a - 1)2 = { - (1 - a)}2 = (1 - a)2 = (1 - a)(1 - a) So, the L.C.M. (1 - a)2
If ax=b, by=c and cz=a then z = ?
Correct Answer:
C: 1
Explanation:
If ax=b, by=c and cz=a then z = ? Correct Answer 1 ax = b(cz)x = bcxz = b(by)xz = bbxyz = b so xyz = 1
Solve the following inequality : -2x-5>x-2
Correct Answer:
B: x>-1
Explanation:
Solve the following inequality : -2x-5>x-2 Correct Answer x>-1 - 2x - 5 > x - 2 - 2x - x > - 2 + 5 - 3x > 3 - 3x/3 < 3/ - 3 [ - 3 দ্বারা ভাগ করে ] x < - 1
In a class of 78 students, 41 are taking, Fresh and 22 are taking German. Of the students taking French or German, 9 are taking both courses. how many students are not enrolled in either course?
Correct Answer:
C: 24
Explanation:
In a class of 78 students, 41 are taking, Fresh and 22 are taking German. Of the students taking French or German, 9 are taking both courses. how many students are not enrolled in either course? Correct Answer 24 ধরি, x সংখ্যক students কোনো কোর্সেই ভর্তি হয়নি। 78 = 41 + 22 - 9 + x 78 = 54 + x x = 78 - 54 x = 24
The preduct of two consecutive negative ever integers is 24. What is the larger number ?
Correct Answer:
A: -4
If the difference between the circumference and of a circle is 60 cm, the radius of the circle is:
Correct Answer:
D: 14 cm
Explanation:
If the difference between the circumference and of a circle is 60 cm, the radius of the circle is: Correct Answer 14 cm Let, the radius be r so 2πr - 2r = 60 2r = 60π - 1 r = 602×2.1416 so r = 14.008 cm = 14 cm
What is the value of x in the figure below?
Correct Answer:
B: 5
Explanation:
What is the value of x in the figure below? Correct Answer 5 AB = AC <ACB = <ABC অর্থাৎ, 4x = y এখন, 4x + 8y = 1800 4x + 8 × 4x = 1800 36x = 1800 x = 50
৩,৫,৪,৮,১১,৬
Correct Answer:
ঘ: ১৪
A wheel that has 6 cogs is meshed with a wheel of 14 cogs. When the smaller wheel has made 21 revolutions the number of revelution made by the larger wheel is --
Correct Answer:
D: 49
A picnic atracts 240 persons. There are 20 more men than women and 20 more adults than children. How many men are at this picnic?
Correct Answer:
B: 75
যদি 16(4n)=1 হয় তাহলে a এর মান কত?
Correct Answer:
ক: -2
How many degrees are included between the hands of a clock at 4:00?
Correct Answer:
D: 120°
Explanation:
How many degrees are included between the hands of a clock at 4:00? Correct Answer 120&#xB0; The required angle = [11m - 60h2] = [0 - 2402] = 120°
If 20% growth of the total disbursement of loans in the preceding year was the minimum target, how banks did not achieve the target 2011?
Correct Answer:
C: 3
Explanation:
If 20% growth of the total disbursement of loans in the preceding year was the minimum target, how banks did not achieve the target 2011? Correct Answer 3 20% of 18 = 18 × 20100 = 3.6 20% of 27 = 27×20100 = 5.4 But the disbursment of loans of other Banks were decreasing. So, 3 banks could not achive the target 2011.
The smallest of three consecutive even integers is 40 less then three times the largest . What is the largest of three integers ?
Correct Answer:
A: 18
Explanation:
The smallest of three consecutive even integers is 40 less then three times the largest . What is the largest of three integers ? Correct Answer 18 The smallest of three consecutive even integers is 40 less then three times the largest . What is the largest of three integers ? Let the integers be, N - 2, N and N + 2. respectively. Now, (N - 2) = 3 x (N + 2) - 40 or, N - 2 = 3N + 6 - 40 or, 3N - N = 40 - 6 - 2 or, 2N = 32 or, N = 16 So, the largest even integer = N + 2 = 16 + 2 = 18
If x2+ 4x + 13 = 1 + x2, then find out the value of x2?
Correct Answer:
A: 9
Explanation:
If x2+ 4x + 13 = 1 + x2, then find out the value of x2? Correct Answer 9 Here, x2 + 4x + 13 = 1 + x2 or, x2 - x2 + 4x = 1 - 13 or, 4x = - 12 or, x = - 3 So, x2 = ( - 3)2 = 9
Rehana is one inch taller than Jamila, and two inches shorter than Faria.Amina is one inch shorter than Jamila's younger sister ,and one inxh taller than Jamila . Which of the girls is/are taller then the rest of the girls ?
Correct Answer:
C: Faria
If n is even integer, which of the following must be an odd integer?
Correct Answer:
C: (16n+24)8
Explanation:
If n is even integer, which of the following must be an odd integer? Correct Answer (16n+24)8 n = 2 হলে [ n even number ] 7n - 2 = 7× 2 - 2 = 12 (even) 5 ( n - 2) = 5( 2 - 2) = 0 ( even) ( 16n + 24) /8 = 16×2 + 24 /8 = 56/8 = 7( odd) ( 6n + 12) /3 = ( 6 ×2 + 12) /3 = 24/3 = 8 ( even) সু্তরাং, (16n + 24) /8 একটি odd integer.
5-3+5-3+5-3+5-3+5-3=?
Correct Answer:
C: 128°
Diving by 3/8 and then multiplying by 5/6 is the same as dividing by what number ?
Correct Answer:
C: 9/20
Explanation:
Diving by 3/8 and then multiplying by 5/6 is the same as dividing by what number ? Correct Answer 9/20 Consider a number N. Now, N / (3/8) x (5/6) = 20N / 9 Again, N / (Required divisor) = 20N / 9 Then, Required divisor, = N / (20N / 9) = 9/20
What fraction of an hour elapses between 11 : 40 p. m. and 12. 20 a.m.?
Correct Answer:
A: 23
Explanation:
What fraction of an hour elapses between 11 : 40 p. m. and 12. 20 a.m.? Correct Answer 23 11: 40 pm to 12: 20 am = 40 minutes = 2/3 of an hour
A share of stock in Ace Enterprise costs D taka on Jan, 2010. One year later, a share increased to Q taka. The fraction by which the cost of a share of stock has increased in the is--
Correct Answer:
A: Q-DD
In a division sum , the remainder is zero . A student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ?
Correct Answer:
D: 20
Explanation:
In a division sum , the remainder is zero . A student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ? Correct Answer 20 Now, d = q x 21 = 21q Again, d = 12 x 35 or, 21q = 420 or, q = 420 / 21 or, q = 20
Rahim's salary is 125% of Karim's salary; Mary's salary is 80% of Karim's salary. The total of all three salaries is TK.61,000. what is Mary,s salary?
Correct Answer:
B: TK. 16,000
ক,খ এর বোন। গ,খ এর মা। ঘ,গ এর বাবা।ঙ,ঘ এর মা। ক,ঘ এর _________?
Correct Answer:
গ: নাতনী
Explanation:
ক,খ এর বোন। গ,খ এর মা। ঘ,গ এর বাবা।ঙ,ঘ এর মা। ক,ঘ এর _________? সঠিক উত্তর নাতনী Idealistic অর্থ অদর্শবাদী, Generous হলো উদার, Lazy হলো অলস এবং Optimistic হলো আশাবাদী। অর্থগতভাবে উপযুক্ত শব্দ হলো Lazy।
সিয়াম সপ্তম শ্রেণীর বার্ষিক পরীক্ষায় কৃতকার্যদের মধ্যে মেধাক্রম উপর থেকে ১৫ তম এবং নিচ থেকে ৩০তম স্থান অধিকার করে। ৬ জন ছাত্র পরীক্ষা দেয়নি ও ১০জন ফেল করে। মোট ছাত্রসংখ্যা ছিল?
Correct Answer:
খ: ৫০
Explanation:
সিয়াম সপ্তম শ্রেণীর বার্ষিক পরীক্ষায় কৃতকার্যদের মধ্যে মেধাক্রম উপর থেকে ১৫ তম এবং নিচ থেকে ৩০তম স্থান অধিকার করে। ৬ জন ছাত্র পরীক্ষা দেয়নি ও ১০জন ফেল করে। মোট ছাত্রসংখ্যা ছিল? সঠিক উত্তর ৫০ Put on অর্থ পরিধান করা, put is অর্থ দাবী করা, put up অর্থ স্থাপন করা এবং put across কোনো অর্থ বহন করে না।
১৫, ২৪, ৩৪, ৪৮, ...... এই ধারার ভুল সংখ্যা কোনটি?
Correct Answer:
ঘ: ৪৮
Explanation:
১৫, ২৪, ৩৪, ৪৮, ...... এই ধারার ভুল সংখ্যা কোনটি? সঠিক উত্তর ৪৮ Let numerator of the fraction is X and denominator is Y, then fraction will be X/Y.Numerator increased 200%, so new numerator would be,[X + (200 of X)/100] = 3X - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (1)New denominator,[Y + (350Y)/100 ] = 45Y/10 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (2)Now, accordibng to question,3X /(45Y/10) = 5/1230X / 45Y = 5/12360X = 225YX/Y = 225/360X/Y = 5/8So, Original fraction was 5/8.
How many degrees are between the hands of a clock at 3 : 30 ?
Correct Answer:
A: 75°
Explanation:
How many degrees are between the hands of a clock at 3 : 30 ? Correct Answer 75&#xB0; a + b + c = 0 Or, a + b = - c Or, (a + b)3 = - c3 Or, a3 + b3 + 3ab(a + b) = - c3 Or, a3 + b3 - 3abc = - c3 So, a3 + b3 + c3 = 3abc
An angle which is less than 30° and larger than 180° is classified as :
Correct Answer:
C: reflex angle
১৯, ৩৩, ৫১, ৭৩.............. ধারাটির পরবর্তী সংখ্যাটি কত?
Correct Answer:
খ: ৯৯
Explanation:
১৯, ৩৩, ৫১, ৭৩.............. ধারাটির পরবর্তী সংখ্যাটি কত? সঠিক উত্তর ৯৯ Insist অর্থ পীড়াপীড়ি করা বা জেদ ধরা। English Grammar - এর নিয়মানুসারে Insist এর পর সর্বদা in বসে।
If Ivy and Zafar sit, respectively , in the 2nd and 7th position , which of the following persons mudt sit in the 1st position .
Correct Answer:
A: Faiz
338
Correct Answer:
B: 338
A husband and wife have six married sons . Each of them has four children . The total number in the family is :
Correct Answer:
C: 38
Explanation:
A husband and wife have six married sons . Each of them has four children . The total number in the family is : Correct Answer 38 প্রথমে একজন দম্পতি অর্থাৎ দুইজন সদস্য থাকবে । এরপর তাদের 6 জন সন্তানের প্রত্যেকের 1 জন করে স্ত্রী রয়েছে । অর্থাৎ এ পর্যন্ত মোট সদস্য হবে = 2 + 6 + 6 = 14 জন । 6 সন্তানের প্রত্যেকের 4 জন করে সন্তান থাকায় মোট সন্তান হবে = 4 × 6 = 24 জন । অতএব, ঐ পরিবারের মোট সদস্য সংখ্যা হবে = 14 + 14 = 38 জন ।