mathematics MCQs
Showing 50 questions (Total: 16798)
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.
If the area of rectangle R with length 4 feet is equal to the area of square S, which has a perimeter of 24 feet , then the perimeter of rectangle R equals -
Correct Answer:
D: 26 Feet
Explanation:
If the area of rectangle R with length 4 feet is equal to the area of square S, which has a perimeter of 24 feet , then the perimeter of rectangle R equals - Correct Answer 26 Feet Side of the square S = 24/4 = 6 Area of the rectangle R = Area of the square S = 62 = 36 So, length of the rectangle R = 36 / 4 = 9 Therefore, perimeter of the rectangle R = 2(9 + 4) = 26 feet
Six workers can do 9 identical jobs in 3 days. How long will it take 4 workers to do 10 such jobs ?
Correct Answer:
C: 5 Days
Explanation:
Six workers can do 9 identical jobs in 3 days. How long will it take 4 workers to do 10 such jobs ? Correct Answer 5 Days If 6 workers can complete 9 jobs in 3 days, then 6 workers can complete 9/3 = 3 jobs in 3/3 = 1 day, then 6/6 = 1 worker can complete 3/6 = 1/2 job in 1 day, then 4 × 1 = 4 workers can complete 4 × 1/2 = 2 jobs in 1 day, then 4 workers can complete 5 × 2 = 10 jobs in 5 × 1 = 5 days.
Ms. Lyla wants to put up fencing around three sides of her rectangular garden and have a side of 20 meter unfenced. If the yard has an area of 680 square meters, how many yards of fencing does she need ?
Correct Answer:
D: 88
Explanation:
Ms. Lyla wants to put up fencing around three sides of her rectangular garden and have a side of 20 meter unfenced. If the yard has an area of 680 square meters, how many yards of fencing does she need ? Correct Answer 88 Length of the garden = 680/20 = 34 meter Total length of the three sides = 2×34 + 20 = 68 + 20 = 88 meter
The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent . The series of successive discount is equivalent to a single discount of -
Correct Answer:
B: 19%
If u> t, r> q , s>t, t>r, which of the following must be true?
Correct Answer:
D: II and III only
Explanation:
If u> t, r> q , s>t, t>r, which of the following must be true? Correct Answer II and III only u>t, t>r, r>q so, u> t>r>q s>t, t>r, r>q so, s>t>r>q
A pen was sold at 15% loss. If the selling price was Tk. 8 more, than the seller could have made a profit of 10%. What was the purchase price of pen?
Correct Answer:
B: 32
Explanation:
A pen was sold at 15% loss. If the selling price was Tk. 8 more, than the seller could have made a profit of 10%. What was the purchase price of pen? Correct Answer 32 Let, Purchase price = Tk.x At 15% loss SP = Tk.(17x/20) At 10% profit SP = Tk.(11x/10) As per question , (17x/20) + 8 = (11x/10) Or, 5x = 160 Or, x = 32 Therefore, the required value = Tk.32
The ratio of the cost price and the selling prices is 4:5. The profit percent is :
Correct Answer:
C: 25%
Explanation:
The ratio of the cost price and the selling prices is 4:5. The profit percent is : Correct Answer 25% Let C.P. = 4x. Then, S.P. = 5x Gain = (5x – 4x) = Rs. x Gain % = (x * 100)/ 4x = 25%. ans: 25%.
ঘন্টায় ৬০ কিলোমিটার বেগে ১০০ মিটার দীর্ঘ একটি ট্রেন ৩০০ মিটার দীর্ঘ একটি প্লাটফর্ম অতিক্রম করতে কত সময় লাগবে?
Correct Answer:
ক: ২৪ সেকেন্ড
Explanation:
ঘন্টায় ৬০ কিলোমিটার বেগে ১০০ মিটার দীর্ঘ একটি ট্রেন ৩০০ মিটার দীর্ঘ একটি প্লাটফর্ম অতিক্রম করতে কত সময় লাগবে? সঠিক উত্তর ২৪ সেকেন্ড Hints: ট্রেনটিকে অতিক্রম করতে হবে (১০০ + ৩০০) = ৪০০ মিটার এখানে, ৬০ কিমি = ৬০০০০ মিটার ১ ঘন্টা = ৩৬০০ সেকেন্ড এখন, ৬০০০০ মিটার যায় ৩৬০০ সেকেন্ডে ১ মিটার যায় ৩৬০০/৬০০০০ সেকেন্ডে ৪০০ মিটার যায় (৩৬০০×৪০০)/ ৬০০০০ সেকেন্ডে = ২৪ সেকেন্ডে
১ ঘন্টা ২০ মিনিট, ৪ ঘন্টার কত অংশ?
Correct Answer:
ক: ১/৩ অংশ
Explanation:
১ ঘন্টা ২০ মিনিট, ৪ ঘন্টার কত অংশ? সঠিক উত্তর ১/৩ অংশ Hints: ১ ঘন্টা ২০ মিনিট = ৮০ মিনিট এবং ৪ ঘন্টা = ২৪০ মিনিট অংশ = ৮০/ ২৪০ = ১/৩
The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is
Correct Answer:
C: 60
Explanation:
The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is Correct Answer 60 Let the no.s be 3x,4x,5x then, 9x2 + 16x2 + 25x2 = 1250 ⟹50x2 = 1250 ⟹x = 5 Sum of numbers = 3x + 4x + 5x = 12x = 12x5 = 60 ans: 60
A, B and C enter into a partnership with a capital in which A's contribution is Tk. 10,000. If out of a total profit Tk. 1,000. A gets Tk. 500 and B gets Tk. 300 then C's capital is?
Correct Answer:
A: Tk. 4,000
Explanation:
A, B and C enter into a partnership with a capital in which A's contribution is Tk. 10,000. If out of a total profit Tk. 1,000. A gets Tk. 500 and B gets Tk. 300 then C's capital is? Correct Answer Tk. 4,000 A : B : C = 500 : 300 : 200 = 5 : 3 : 2. Let their capitals be 5x, 3x and 2x respectively. Then, 5x = 10000 = > x = 2000. C's capital = 2x = 4000. ans: 4000
In a dairy firm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk.
Correct Answer:
C: 40
Explanation:
In a dairy firm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk. Correct Answer 40 Let the required number of days be x.Less cows, More days (Indirect Proportion)Less bags, Less days (Direct Proportion)CowBags1:4040:1}::40:x∴1×40×x = 40×1×40⇒x = 40
In what time will atrain 100 meters long cross an electric pole, if its speed is 144 km/hr.?
Correct Answer:
D: 2.5 seconds
Explanation:
In what time will atrain 100 meters long cross an electric pole, if its speed is 144 km/hr.? Correct Answer 2.5 seconds Speed of the train = 144 kmph = 144×185 = 40 m/sec Length of electric pole = 100 meter Time taken to cross the electric pole = 40100 = 2.5 seconds
A man can do a 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:
C: 7.5 days
Explanation:
A man can do a 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 7.5 days Man completes total work in 5 days, he will do one fifth of work in day and along with son will do one third of work in day. So son alone can complete the work in 7.5 days as explained below Work done by man in a day : 1/5 Work done by man + son in a day : 1/3 Work done by son in a day : 1/3 - 1/5 = 2/15 Time take by son to complete work : 15/2 or 7.5 days ans: 7.5 days
১ হইতে ১০০ পর্যন্ত সংখ্যাসমূহের যোগফল কত?
Correct Answer:
গ: ৫০৫০
Explanation:
১ হইতে ১০০ পর্যন্ত সংখ্যাসমূহের যোগফল কত? সঠিক উত্তর ৫০৫০ ১ থেকে যেকোন সংখ্যা পর্যন্ত খুব সহজে যোগফল বের করতে আপনি এই নিয়মটি অনুসরণ করতে পারেন: = n * ( n + 1) / 2 এখানে n হলো যত সংখ্যা পর্যন্ত আপনি যোগ বের করতে চাচ্ছেন সে সংখ্যাটি। উদাহরণ 1 থেকে 100 পর্যন্ত সংখ্যার যোগফল হবে = 100 * (100 + 1) / 2 = 50 * 101 = 5050
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 cost price is 25% of selling price then what is the profit percent?
Correct Answer:
C: 300%
Explanation:
If the cost price is 25% of selling price then what is the profit percent? Correct Answer 300% Let the S.P = 100then C.P. = 25Profit = 75Profit% = (75/25) * 100 = 300%
A and B together have Tk. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How much amount B has?
Correct Answer:
A: Tk. 484
Explanation:
A and B together have Tk. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How much amount B has? Correct Answer Tk. 484 4/15 A = 2/5 BA = (25∗144)BA = 3/2BA/B = 3/2A:B = 3:2B's Share = 25∗1210 = 484
একটি বই বিক্রয় করার সময় বিক্রেতা লিখিত মূল্যের উপর ১৫% কমিশন প্রদান করে। বইটির লিখিত বিক্রয়মূল্য ১২০ টাকা হলে বইটি কত টাকার ক্রয় করা যাবে?
Correct Answer:
ঘ: ১০২ টাকা
Explanation:
একটি বই বিক্রয় করার সময় বিক্রেতা লিখিত মূল্যের উপর ১৫% কমিশন প্রদান করে। বইটির লিখিত বিক্রয়মূল্য ১২০ টাকা হলে বইটি কত টাকার ক্রয় করা যাবে? সঠিক উত্তর ১০২ টাকা ব্যাখাঃ ১৫% কমিশনে, লিখিত মূল্য ১০০ টাকা হলে বিক্রিয়মূল্য ৮৫ টাকা লিখিত মূল্য ১ টাকা হলে বিক্রয়মূল্য। ৮৫/১০০টাকা লিখিত মূল্য ২০ টাকা হলে বিক্রয়মূল্য (৮৫×১২০)/১০০ = ১০২ টাকা
What is the square root of 0.16?
Correct Answer:
A: 0.4
Explanation:
What is the square root of 0.16? Correct Answer 0.4 0.16 = 16100 ⇒√0.16 = √16100 ⇒√16100 = ±410 = ±25 ⇒√0.16 = ±25 = ± 0.4
If a person walks at 14 km/hour instead of 10 km/hour, he would have walked 20 km more. The actual distince travelled by him is:
Correct Answer:
A: 50 km
Explanation:
If a person walks at 14 km/hour instead of 10 km/hour, he would have walked 20 km more. The actual distince travelled by him is: Correct Answer 50 km Let the actual distance travelled be x km. Then, 10x = 14x + 20 14x = 10x + 200 4x = 200 x = 50 km
In what time period will simple interested on Tk. 500 at 5% be equal to the interest on Tk. 400 for years at 5%?
Correct Answer:
C: 4 years
In a shipment of 120 machine parts, 5 percent were defective. In a shipment of 80 machine parts, 10 percent were defective. For the two shipments combined, what percent of the machine parts were defective ?
Correct Answer:
B: 7.0%
Explanation:
In a shipment of 120 machine parts, 5 percent were defective. In a shipment of 80 machine parts, 10 percent were defective. For the two shipments combined, what percent of the machine parts were defective ? Correct Answer 7.0% Defective parts in the shipment of 120 = 5% of 120 = (5/100) ×120 = 6 Defective part in the shipment of 80 = 10% of 80 = (10/100) ×80 = 8 ∴ Total machine parts = 120 + 80 = 200 Total defective parts = 6 + 8 = 14 % of defective parts = {(14/200)×100}% = 7%
If 'Eye' is related to 'Man', then in the same way 'Window' is related to -
Correct Answer:
D: Room
Explanation:
If 'Eye' is related to 'Man', then in the same way 'Window' is related to - Correct Answer Room Eye is related to man. Man sees the world through eye. In the same way anyone can see a room through opening the window.
Find the odd man out.
Correct Answer:
A: Hitler
Choose the pair which is dissimilar to others in the following .
Correct Answer:
A: Student-Teacher
Explanation:
Choose the pair which is dissimilar to others in the following . Correct Answer Student-Teacher Patient stay in hospital for treatment Culprit stay in prison for punishment Bird stays in nest But student goes to teacher for education not to stay, so answer will be option 1
If 3x-4>8, then
Correct Answer:
D: x>4
Explanation:
If 3x-4>8, then Correct Answer x>4 3x - 4>8 3x > 8 + 4 3x > 12 x > 12/3 x > 4
If PERFECT coded as RGTHGEV, how is BRWON written in that code ?
Correct Answer:
D: DTYQP
Explanation:
If PERFECT coded as RGTHGEV, how is BRWON written in that code ? Correct Answer DTYQP PERFECT কে RGTHGEV রূপে কোড করা হয়েছে। এক্ষেত্রে ১টা ALPHABET পর পর কোড হিসেবে লেখা হয়েছে। তাই BRWON হবে DTYQP
A cistern 6m long and 4m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Correct Answer:
A: 49 m2
Explanation:
A cistern 6m long and 4m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is: Correct Answer 49 m2 Area of the wet surface = [2(lb + bh + lh) - lb] = 2(bh + lh) + lb = [2 (4 x 1.25 + 6 x 1.25) + 6 x 4]m2 = 49m2
Find the next number of the series 7, 10, 14, 16, 21, 22, -
Correct Answer:
D: 28
Explanation:
Find the next number of the series 7, 10, 14, 16, 21, 22, - Correct Answer 28 ধারাটির বিজোড় স্থানের পদগুলি হচ্ছে ৭, ১৪, ২১এখানে সাধারণ অন্তর ৭ধারাটির পরবর্তী পদ = ২১+৭ =২৮
If 3 is added to both numerator and denominator of a fraction , it becomes 5/7. If 9 is subtracted from both numerator and denominator, it becomes 1/3. What is the fraction ?
Correct Answer:
B: 12/18
Explanation:
If 3 is added to both numerator and denominator of a fraction , it becomes 5/7. If 9 is subtracted from both numerator and denominator, it becomes 1/3. What is the fraction ? Correct Answer 12/18 Let, numerator = x, denominator = yfirst condition, x+3y+3 = 57 or, 7x- 5y = -6second condition, x-9y-9 = 13 or, 3x - y = 18Solving the above two equation, we get x = 12 and y = 18So, the required fraction is = 1218 (Ans)
Replace the question mark of the series 2B, 4C, 8E, 14H, (?) from the following alternatives.
Correct Answer:
C: 22L
Explanation:
Replace the question mark of the series 2B, 4C, 8E, 14H, (?) from the following alternatives. Correct Answer 22L B C (D) E (F G) H (I J K) L 2+2 = 44+4 = 88+6 = 1414+8 = 22so the required answer is = 22L
Mamun is twelfth from the left and Alam is fifteenth from the right in a row. If we interchange their positions, Alam becomes twentieth from right. How many boys are there in the row ?
Correct Answer:
B: 31
Reza earns TK.8.50 per hour on days than Sundays and twice that rate on Fridays, Last week he worked a total of 40 hours , including 8 hours on Friday. What was his total earning, in Taka , for that week ?
Correct Answer:
D: 408
Explanation:
Reza earns TK.8.50 per hour on days than Sundays and twice that rate on Fridays, Last week he worked a total of 40 hours , including 8 hours on Friday. What was his total earning, in Taka , for that week ? Correct Answer 408 Friday Earning = 8 * 8.50 * 2 = 136Others Day Earning = (40-8) * 8.50 = 32 * 8.5 = 272Total Earning = 136 + 272 = 408 (Ans)
What part of an hour elapses between 11.50 pm to 12.14 am ?
Correct Answer:
B: 2/5
Total payroll expense of a certain business in year Y was TK. 84,000 ; which was 20% more than in year X . What was the total payroll expense (in Taka) in year X ?
Correct Answer:
A: 70,000
Explanation:
Total payroll expense of a certain business in year Y was TK. 84,000 ; which was 20% more than in year X . What was the total payroll expense (in Taka) in year X ? Correct Answer 70,000 Let the total payroll expense in year X be X TK. Then, X + 20% of X = 84000 or, X + 0.2X = 84000 or, 1.2X = 84000 or, X = 84000/1.2 = 70000 TK
The length of a rectangle is 6 cm , and its perimeter is 16 cm. What is the area of the rectangle is square centimeters ?
Correct Answer:
A: 12
Explanation:
The length of a rectangle is 6 cm , and its perimeter is 16 cm. What is the area of the rectangle is square centimeters ? Correct Answer 12 We know, 2(length + width) = perimeter or, 2×6 + 2×width = 16 or, 2×width = 16 - 12 or, width = 4/2 = 2 cm So, area of the rectangle = 6×2 = 12 cm2
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Correct Answer:
A: 6.25
Explanation:
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Correct Answer 6.25 Hints: 282 - 10 × 3.2 / 40 = 6.25
The total population of 10 countries in the Asian zone is greater than the total population of 11 countries in the European zone. What can we say if one of the countries is dropped from the Asian zone ?
Correct Answer:
D: We cannot say anything conclusively
Explanation:
The total population of 10 countries in the Asian zone is greater than the total population of 11 countries in the European zone. What can we say if one of the countries is dropped from the Asian zone ? Correct Answer We cannot say anything conclusively Population may vary in different countries. Thats why we cant say anything conclusively if one of the countries is dropped from the Asian zone.
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Correct Answer:
A: 10
Explanation:
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Correct Answer 10 Hints : In case of 1 hour, Without stoppages, the bus goes 54 km with stoppages the bus goes 45 km Distance ( 54 - 45) = 9 km Nows, it goes 54 km in 60 mins it goes 1 km in 60/ 54 km if goes 9 km in 60 × 9/ 54 = 10 mins
Train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is :
Correct Answer:
C: 120 kmph
Explanation:
Train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is : Correct Answer 120 kmph Hints : Let, car speed = x Train speed = 1.5x Time taken for car to go 75 km = t and train to go = (t - 12.5) t × x = ( t - 12.5) 1.5x t = 37.5 mun 37.5x = 75 x = 2km/min x = 120 km/h
Running at the same constant rate, 6 identical machines can produce a totoal of 270 bottles per minute. At this rat, how many bottles could 10 such machines produce in 4 minutes?
Correct Answer:
D: 1800
Explanation:
Running at the same constant rate, 6 identical machines can produce a totoal of 270 bottles per minute. At this rat, how many bottles could 10 such machines produce in 4 minutes? Correct Answer 1800 Hints : 270 × 10 × 4/ 6 = 1800 এই ধরনের গণিত গুলা কম সময়ে এভাবে করবেন।
In order to obtain an income of Tk. 650 from 10% stock at Tk. 96, one must make an investment of :
Correct Answer:
C: Tk. 6500
Explanation:
In order to obtain an income of Tk. 650 from 10% stock at Tk. 96, one must make an investment of : Correct Answer Tk. 6500 Hints: 10% profit in TK.96 = 96 × 10% = 9.6 TK If profit 9.6TK. then investment 96 TK If profit 1 tk then investment 96/9.6 tk if profit 650 tk then investment 96 × 650/9.6 = 6500 tk
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:
A: Tk. 1500
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 Hints : Profit of A = 3 × Total profit × .95/3 + 2 855 = 3 × Total profit × .95 /5 Total profit = 1500
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Tk. 12,000 after 3 years at the same rate?
Correct Answer:
C: Tk. 3972
Explanation:
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Tk. 12,000 after 3 years at the same rate? Correct Answer Tk. 3972 Hints : I = pnr r = I / Pn = . 60 /6 = . 10 C = p + (1 + r) n = 12000 ( 1 + . 10)3 = 15972 Ccompound interest = ( 15972 - 12000) = 3972
A man buys Tk. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is :
Correct Answer:
D: Tk. 21
Explanation:
A man buys Tk. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is : Correct Answer Tk. 21 Hints, Without 9% dividend the share price is = 20 - 20 × 9% = 20 - 1.8 = 18.2 with 12% interest the market value is = 18.2 + 18.2 + 12% = 18.2 + 2.184 = 20.384 = 21
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Tk. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is :
Correct Answer:
A: Tk. 120
Explanation:
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Tk. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is : Correct Answer Tk. 120 Hints: C1 = 1600(1 + 1.5)5 = 1639.51 C2 = (1639.51 + 1600) (1 + .05)5 = 3319.51 The Amount gained = 3319.51 - 2 × 1600 = 119.51 = TK 120
What is the total interest on TK. 800 at 12.5% per annum for 9 months ?
Correct Answer:
A: TK. 75
Explanation:
What is the total interest on TK. 800 at 12.5% per annum for 9 months ? Correct Answer TK. 75 9 months = 9/12 year = 3/4 year Interest, I = pnr = 800 x 3/4 x 12.5/100 = 75 taka
The positive difference between the squares of any two consecutive integers is always -
Correct Answer:
B: an odd number
Explanation:
The positive difference between the squares of any two consecutive integers is always - Correct Answer an odd number Let, two consecutive integers are 2 and 322=4 and 32=9 the difference is 9-4=5 which is an odd number.