mathematics MCQs
Showing 50 questions (Total: 16798)
A sum of Tk. 312 was divided among 100 boys and girls in such a way that each boy gets Tk. 3.60 and each girl Tk. 2.40. The number of girls is :
Correct Answer:
B: 40
Explanation:
A sum of Tk. 312 was divided among 100 boys and girls in such a way that each boy gets Tk. 3.60 and each girl Tk. 2.40. The number of girls is : Correct Answer 40 x + y = 100.......... (1) 3.60x + 3.60 y = 360 3.60 x + 2.40y = 312........ (2) 1.2y = 48 y = 48/1.20 = 40
Jahir has 15 red balls; he gives Sami 3 balls. Sami now has twice the number of balls Jahir has left. How many balls did Sami have at the beginning?
Correct Answer:
D: 21
Explanation:
Jahir has 15 red balls; he gives Sami 3 balls. Sami now has twice the number of balls Jahir has left. How many balls did Sami have at the beginning? Correct Answer 21 ধরি, sami র বলের সংখ্যা x ( 15 - 3) ×2 = x + 3 24 = x + 3 x = 24 - 3 x = 21
A bank pays simple interest rate of 8% on investment. If you invest Taka 5,000 in the bank, how much money would you get after 8 years?
Correct Answer:
D: 8,200
Explanation:
A bank pays simple interest rate of 8% on investment. If you invest Taka 5,000 in the bank, how much money would you get after 8 years? Correct Answer 8,200 মুনাফা - আসল = P ( 1 + nr) = 5000 ( 1×8×8/100) = 5000 ×164/100 = 8200
If the length and which of a rectangular garden plot were increased by 20%, what would be the percent increase in the area of the plot?
Correct Answer:
B: 44%
Explanation:
If the length and which of a rectangular garden plot were increased by 20%, what would be the percent increase in the area of the plot? Correct Answer 44% ক্ষেত্রফল বৃদ্ধি পাবে = ( 20 + 20 + 20×20/100)% = 44%
১৮ ফুট উঁচু একটা খুটি এমনভাবে ভেঙ্গে গেল যে, ভাঙ্গা অংশটি বিচ্ছিন্ন না হয়ে ভূমির সঙ্গে ৩০. কোণে স্পর্শ করলো। খুটিটি মাটি থেকে কত ফুট উঁচুতে ভেঙ্গ গিয়েছিল?
Correct Answer:
গ: ৬ফুট
A picnic was arranged by m students . Total cost of the picnic was estimated to be y taka . Unfortunately z students withdrew their names from the picnic. How many more taka would each of the remaining students have to pay?
Correct Answer:
C: y/m-z - y /m
Explanation:
A picnic was arranged by m students . Total cost of the picnic was estimated to be y taka . Unfortunately z students withdrew their names from the picnic. How many more taka would each of the remaining students have to pay? Correct Answer y/m-z - y /m m জন আগে দিত মোট y টাকা 1 " " " " " ym টাকা তখন m - z জন দেয় y টাকা 1 " " ym - z টাকা তাহলে প্রতি 1 জনকে more দিতে হয় ym - z - ym
If a man walks 14 km/hr instead 10 km/hr, he would have walked 20 kilometers more. The actual distance traveled by him is
Correct Answer:
B: 50 km
Explanation:
If a man walks 14 km/hr instead 10 km/hr, he would have walked 20 kilometers more. The actual distance traveled by him is Correct Answer 50 km ধরি, actual distance x km x + 20/14 = x/10 14x = 10x + 200 14x - 10x = 200 x = 200/4 x = 50
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is :
Correct Answer:
B: 75 degree
Explanation:
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is : Correct Answer 75 degree Angle = | 11M - 60H/2| 0 = | (11×30) - ( 60×8)/2 |o = | - 150/2|0 = 750
Find the volume of a triangular solid cylinder with the following dimensions : 4 feet base, 3 feet height of triangle and 10 feet height of the cylinder?
Correct Answer:
B: 60 cft
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opended together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
Correct Answer:
D: 14 min 40 sec
Explanation:
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opended together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank? Correct Answer 14 min 40 sec By pipe A and B Part filled in 4 minutes = 4×( 1/15 + 1/20) = 7/15 Remaining part = 1 - 7/15 = 8/15 part filled by B in 1 minute = 1/20 By B, 1/20 part can be filled in 1 minute 8/15 part can be filled in ( 20×8)o/15 = 10 min 40 sec So, total time required ( 4 min + 10min 40 sec) = 14 min 40 sec.
How many 3 digit integers can be chosen such that none of the digits appear more than twice, none of the digits equal 0?
Correct Answer:
B: 720
In a triangle LMN, LN is the longest side. THen the largest of the three angles is
Correct Answer:
B: M
Explanation:
In a triangle LMN, LN is the longest side. THen the largest of the three angles is Correct Answer M largest side এর বিপরীত কোণ হয় largest angle.
If a and b are odd numbers, then which of the following is even?
Correct Answer:
A: a+b
Explanation:
If a and b are odd numbers, then which of the following is even? Correct Answer a+b The sum of two odd number is even, So, a + b is even
Melinda's lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color
Correct Answer:
D: 9
A can run 22.5 m while B runs 25 m. In a kilometer race B beats A by :
Correct Answer:
A: 100 m
Explanation:
A can run 22.5 m while B runs 25 m. In a kilometer race B beats A by : Correct Answer 100 m When B runs 25 m A runs 45/2 = 22.5 m B 1000m, a runs ( 45/2×1/25×1000) = 900 m B beats A by ( 1000 - 900) m = 100 m
A person travels a distance of 30 km at a speed of 60 km /hr and then comes back at twice the speed. How may minutes did he take in total?
Correct Answer:
C: 45
Explanation:
A person travels a distance of 30 km at a speed of 60 km /hr and then comes back at twice the speed. How may minutes did he take in total? Correct Answer 45 প্রথমে 30 km যায় 60 km/hr সুতরাং সময় নেয় 3060 = 12 hr = 30 min. দ্বিতীয়বার 30 km যায় 60 × 2 বা 120 km/hr সুতরাং সময় নেয় = 30120 = 14 হ্র = 15 min total min = 30 + 15 = 45 min.
The compound interest on a certain sum for 2 years at 10% per annum is Tk. 525. The simple interest on the same sum for double the time at half the rate percent per annum is :
Correct Answer:
B: Tk. 500
Explanation:
The compound interest on a certain sum for 2 years at 10% per annum is Tk. 525. The simple interest on the same sum for double the time at half the rate percent per annum is : Correct Answer Tk. 500 We know, C = P ( 1 + r)n I + P = P ( 1 + r)n 525 + P = P (1 + 10%)2 525 = 1.21P - P P = 525/0.21 P = 2500 I = pnr = 2500×4×5% = 500
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Correct Answer:
A: 4 years
Explanation:
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? Correct Answer 4 years Let the age of youngest child be x then the age of other children ( x + 3) , (x + 6), (x + 9), (x + 12) Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 5x = 20 x = 4
54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Correct Answer:
B: 34
Explanation:
54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is : Correct Answer 34 x + y = 54 Or, x = (54 - y) 2n condition : 10x + 22y = 780 5x + 11y = 390 5 ( 54 - y) + 11y = 390 270 - 5y + 11y = 390 6y = 120 y = 20 x = ( 54 - 20) = 34
A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr?
Correct Answer:
C: 40
Explanation:
A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr? Correct Answer 40 Speed, ( 150 + 300)/40.5 = 450/40.5 m/sec = 450/40.5 × 18/5 km/hr = 40 km/hr
A and B can work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
Correct Answer:
C: 8 days
Explanation:
A and B can work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in : Correct Answer 8 days (A + B) 1 days work = 1/8 (B + C) 1days work = 1/12 (A + B + C) 1days work = 1/6 (A + C) 1 days work = (2×1/6) - (1/8 + 1/12) = (1/3 - 5/24) = 3/24 = 1/8 So, A and C together will do the work in 8 days
The simple interest on a sum of money will be Tk. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth year?
Correct Answer:
C: Tk. 1200
Explanation:
The simple interest on a sum of money will be Tk. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth year? Correct Answer Tk. 1200 We know the interest is directly proportional to time and principal. If the total interest for 100 years is Tk. 600, then it is Tk. 300 for the first 5 years. Now, the principal trabled after 5 years. So we get 3 times more interest for the next 5 year's. So instead of Tk. 300 we get Tk.900 So total interest = 300 + 900 = Tk. 1200
If the price of an item increases from TK. 25 to Tk. 28 , the old price is what % of the new price?
Correct Answer:
C: 89.29%
Explanation:
If the price of an item increases from TK. 25 to Tk. 28 , the old price is what % of the new price? Correct Answer 89.29% ধরি, x% তাহলে 25 = x% of 28 = x100 of 28 so x = 25×10028 = 89.29%
A 6% stock yields 8%. The market value of the stock is :
Correct Answer:
B: Tk. 75
Explanation:
A 6% stock yields 8%. The market value of the stock is : Correct Answer Tk. 75 Let, primary stock value is = 100Tk. Now, 6 tk stock yield 8 tk 1 tk stock yield 8/6 tk. 100 tk stock yield = (8×100)/6 = 133.33 (correct answer)
which of the following could be a possible list of the advertisements in the order that they are aired?
Correct Answer:
C: HBDFJCK
Explanation:
which of the following could be a possible list of the advertisements in the order that they are aired? Correct Answer HBDFJCK BD তারপর থাকবে = (BD) H এরপরে D = H~O একমাত্র Option C ই সবগুলো condition পূরণকরে ।
The radius of a circle is increased by 10% , then the area is increased by what percent?
Correct Answer:
C: 21%
Explanation:
The radius of a circle is increased by 10% , then the area is increased by what percent? Correct Answer 21% প্রথম ক্ষেত্রে radius r হলে area = πr2 দ্বিতীয় ক্ষেত্রে radius = r + .10r = 1.1r এবং ক্ষেত্রফল = π(1.1r)2 = 1.21 πr2 অর্থাৎ 21% বৃদ্ধি হয়েছে।
The average of six numbers is 3.95. The average of two of them is 3.4, while average of the other two is 3.85. What is the average of the remaining two numbers?
Correct Answer:
B: 4.6
Explanation:
The average of six numbers is 3.95. The average of two of them is 3.4, while average of the other two is 3.85. What is the average of the remaining two numbers? Correct Answer 4.6 Sum of the reaming two numbers are = ( 3.95 ×6) - [ (3.4×2) + ( 3.85×2) ] = 23.70 - ( 6.8 + 7.7) = 23.70 - 14.5 = 9.20 Average = 9.20/2 = 4.6
The length of a rectangle is 18 cm and its breadth is 10 cm, When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same?
Correct Answer:
C: 7.2 cm
Explanation:
The length of a rectangle is 18 cm and its breadth is 10 cm, When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same? Correct Answer 7.2 cm The length is increased from 18 cm to 25 cm. but the area remains same. Let, new breadth is 'x' So, old area = new area 18×10 = 25 × x x = 180/25 x = 7.2
Saif deposits Tk. 300 in a Bank at 10% interest rate compounded annually. At the end of the second year, the total amount including interest will become Tk.
Correct Answer:
B: 6363
Explanation:
Saif deposits Tk. 300 in a Bank at 10% interest rate compounded annually. At the end of the second year, the total amount including interest will become Tk. Correct Answer 6363 সূত্র compound interest = Principal (1 + rate) tine = 300(1 + .10)2 = 6363 N. B.: Option গুলোতে সঠিক উত্তর নেই।
A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is :
Correct Answer:
A: 2.5 km/hr
Explanation:
A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is : Correct Answer 2.5 km/hr Speed of stream = 1/2 ( 13 - 8) km/hr = 2.5 km/hr
0.213+0.00213=?
Correct Answer:
C: 100
Explanation:
0.213+0.00213=? Correct Answer 100 0.213 ÷ 0.00213 = 0.213/0.00213 = (213 × 100000)/ (1000×213) = 100
The least perfect square number divisible by 3, 4, 5, 6 and 8 is :
Correct Answer:
D: 3600
Explanation:
The least perfect square number divisible by 3, 4, 5, 6 and 8 is : Correct Answer 3600 To find least perfect square diviisible by 3, 4, 5, 6, and 8 L.C.M of 3, 4, 5, 6, and 8 = 120 120 = 2×2×3×5 In the above factorization 2, 3 and 5 are not in Paris so let multiphy it by the sated numbers 120×2×5×5 = 3600
A fire broke out in a garments factory. How many minutes would it take for a fire truck to got to the fire 10 miles away if it travels at a rate of 20 mph?
Correct Answer:
C: 60 * (10/20)
Explanation:
A fire broke out in a garments factory. How many minutes would it take for a fire truck to got to the fire 10 miles away if it travels at a rate of 20 mph? Correct Answer 60 * (10/20) hour লাগবে = 1020 so min লাগবে = 10×6020 min
Aunik and Anam started a business investing Tk. 22,500 and Tk. 35,000 respectively. Out of a total profit of Tk. 13,800, Anam's share is :
Correct Answer:
C: Tk. 8400
Explanation:
Aunik and Anam started a business investing Tk. 22,500 and Tk. 35,000 respectively. Out of a total profit of Tk. 13,800, Anam's share is : Correct Answer Tk. 8400 Anam's share = 35000 / ( 22500 + 35000) × 13800 = 8400tk.
একটি বর্গাকার ক্ষেত্রের ক্ষেত্রফল ৪৮৪ বর্গমিটার হলে পরিসীমা কত?
Correct Answer:
গ: ৮৮ মিটার
Explanation:
একটি বর্গাকার ক্ষেত্রের ক্ষেত্রফল ৪৮৪ বর্গমিটার হলে পরিসীমা কত? সঠিক উত্তর ৮৮ মিটার বর্গাকার ক্ষেত্রের বাহু = √484 = 22 মিটার বর্গাকার ক্ষেত্রের পরিসীমা = 4 × 22 = 88 মিটার।
৫০ ডিগ্রী কোণের সম্পূরক কোণের এক পঞ্চমাংশ নিচের কোনটি?
Correct Answer:
ক: ২৬ ডিগ্রী
প্রথম ৬টি স্বাভাবিক সংখ্যার সমষ্টি কত?
Correct Answer:
গ: ২১
Explanation:
প্রথম ৬টি স্বাভাবিক সংখ্যার সমষ্টি কত? সঠিক উত্তর ২১ প্রথম 6 টি স্বাভাবিক সংখ্যার সমষ্টি = 6 × ( 6 + 1) /2 = 3 × 7 = 21
কোনো পরীক্ষায় মোট পরীক্ষার্থীর ৮০% গণিত এবং ৭০% বাংলায় পাস করলো। উভয় বিষয়ে পাস করলো ৬০%, উভয় বিষয়ে শতকরা কতজন ফেল করলো?
Correct Answer:
খ: ১০%
Explanation:
কোনো পরীক্ষায় মোট পরীক্ষার্থীর ৮০% গণিত এবং ৭০% বাংলায় পাস করলো। উভয় বিষয়ে পাস করলো ৬০%, উভয় বিষয়ে শতকরা কতজন ফেল করলো? সঠিক উত্তর ১০% দেওয়া আছে, উভয় বিষয়ে পাশ করেছে ৬০%,গণিতে পাশ করেছে ৮০% এবং বাংলায় পাশ করেছে ৭০%অর্থাৎ এককভাবে গনিতে পাশ করছে=(৮০% - ৬০%) = ২০%আবার, এককভাবে বাংলায় পাশ করেছে = (৭০% - ৬০%) = ১০%মোট পাশ করেছে = (৬০% + ২০% + ১০%) = ৯০%উভয় বিষয়ে ফেল করেছে = (১০০% - ৯০%) = ১০%
বার্ষিক ৪.৫% সরল সুদে কত টাকা বিনিয়োগ করলে ৪ বছরে তা ৮২৬ টাকা হবে?
Correct Answer:
গ: ৭০০ টাকা
The difference between the place value and the face value of 6 in the numeral 856973 is --
Correct Answer:
C: 5994
Explanation:
The difference between the place value and the face value of 6 in the numeral 856973 is -- Correct Answer 5994 ব্যাখাঃ (Place value of 6) - ( face value of 6) = (6000 - 6) = 5994
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 সংখ্যা টি ক হলে । ৭৪২ + ক = ৮৩০ - ক বা ,২ক = ১৫৭২ বা,ক = ৭৮৬
The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is :
Correct Answer:
C: 40
Explanation:
The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is : Correct Answer 40 Hints: Let the numbers be 2x and 3x Then, their L.C.M = 6x So, 6x = 48 x = 8 The numbers are 16 and 24 Hence, required sum = (16 + 24) = 40
The value of (1+.1+.01+.001) is :
Correct Answer:
D: 1.111
Explanation:
The value of (1+.1+.01+.001) is : Correct Answer 1.111 Hints: 1.000 + 0.100 + 0.010 + 0.001 = ( + ) 1.111
দুটি সংখ্যার ল. সা. গু ৯০ এবং গ. সা. গু ১৫। একটি সংখ্যা ৪৫ হলে, অপরটি কত?
Correct Answer:
ক: ৩০
Explanation:
দুটি সংখ্যার ল. সা. গু ৯০ এবং গ. সা. গু ১৫। একটি সংখ্যা ৪৫ হলে, অপরটি কত? সঠিক উত্তর ৩০ আমরা জানি, দুটি সংখ্যার গুণফল = সংখ্যা দুটির ল.সা.গু × গ.সা.গু বা, ৪৫ × অপর সংখ্যা = ৯০ × ১৫ বা, অপর সংখ্যা = (৯০×১৫)/৪৫ ∴ অপর সংখ্যা = ৩০
Three-fifth the square of a certain number is 126.15. What is the number?
Correct Answer:
A: 14.5
Explanation:
Three-fifth the square of a certain number is 126.15. What is the number? Correct Answer 14.5 Hints: Let, the certain number be x 3/5 × x2 = 126.15 x2 = 126.15 ×( 5/3) x2 = 210.25 x = 14.5
A number is as much greater than 36 as the less than 86. Find the number.
Correct Answer:
B: 61
Explanation:
A number is as much greater than 36 as the less than 86. Find the number. Correct Answer 61 Hints: Let the number be x x - 36 = 86 - x 2x = 122 x = 122 ÷ 2 = 61
A boy was asked to multiply a number by 25. He instead multiplied the number by 52 and got the answer 324 more than the correct answer. The number to be multiplied was :
Correct Answer:
A: 12
Explanation:
A boy was asked to multiply a number by 25. He instead multiplied the number by 52 and got the answer 324 more than the correct answer. The number to be multiplied was : Correct Answer 12 Hints: Let the number be x x ×52 = x ×25 + 324 27x = 324 x = 12
The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?
Correct Answer:
C: None of these
Explanation:
The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years? Correct Answer None of these Hints: Let P age and Q age be 6x years and 7x years Then, 7x - 6x = 4 x = 4 So the required ratio will be (6x + 4)/(7x + 4) = 28/32 = 7/8
The difference between a number and its two-fifth is 510. What is 10 percent of that number?
Correct Answer:
B: 85
Explanation:
The difference between a number and its two-fifth is 510. What is 10 percent of that number? Correct Answer 85 Hints: Let the number be x Then, x - 2x/5 = 510 (5x - 2x) /5 = 510 3x = 510×5 x = 850 So, 10% of 850 = 85
What mathematical operation come at the place of '?' in the equation : 2?6-12/4+2=11.
Correct Answer:
C: *
Explanation:
What mathematical operation come at the place of '?' in the equation : 2?6-12/4+2=11. Correct Answer * Hints: = 2×6 - 12÷4 + 2 = 2 × 6 - 3 + 2 = 12 - 3 + 2 = 11 answer : ×