mathematics MCQs
Showing 50 questions (Total: 16798)
এক ব্যক্তি ২০% সরল সুদে ৮০০ টাকা এবং ১৫% সরল সুদে ৬০০ টাকা বিনিয়োগ করলে এক বছর পর তিনি মোট কত সুদ পাবেন?
Correct Answer:
খ: ২৫০ টাকা
Explanation:
এক ব্যক্তি ২০% সরল সুদে ৮০০ টাকা এবং ১৫% সরল সুদে ৬০০ টাকা বিনিয়োগ করলে এক বছর পর তিনি মোট কত সুদ পাবেন? সঠিক উত্তর ২৫০ টাকা ৮০০× ২০% + ৬০০ × ১৫% = ৮০০ × ২০/১০০ + ৬০০ × ১৫/১০০ = ১৬০ + ৯০ = ২৫০
Afia can do her term paper in 15 days which takes Babul 20 days to finish . What is the fraction of work left if both afia & Babul work together for 4 days?
Correct Answer:
D: 8/15
Explanation:
Afia can do her term paper in 15 days which takes Babul 20 days to finish . What is the fraction of work left if both afia & Babul work together for 4 days? Correct Answer 8/15 In 15 days Afia does 1 portion In 4 days Afia does 4/15 portion Again, In 20 day's Babul does 1 portion In 4 days Babul does 4 /20 portion Afia and Babul work together in 4 days = 4/15 + 4/20 = 7/15 portion left = 1 - 7/15 = 8/15 portion.
কোনো আসল ৩ বছরে সুদে আসলে ৪৬০ টাকা এবং ৫ বছরে সুদে আসলে ৫০০ টাকা হলে আসল কত?
Correct Answer:
ক: ৪০০ টাকা
Explanation:
কোনো আসল ৩ বছরে সুদে আসলে ৪৬০ টাকা এবং ৫ বছরে সুদে আসলে ৫০০ টাকা হলে আসল কত? সঠিক উত্তর ৪০০ টাকা ৫ বছরের সুদ আসল ৫০০ টাকা ৩ বছরে সুদ আসল ৪৬০ টাকা [বিয়োগ করে] ২ বছরের সুদ = ৪০ টাকা ১ বছরের সুদ = ২০ টাকা ৩ বছরের সুদ = ৬০ টাকা আসল = ৪৬০ - ৬০ = ৪০০ টাকা
A survey of City A found an average of 3.2 people per household and an average of 1.2 DVD players per household . If 48,000 people live in City A, how many DVD players are there in City A?
Correct Answer:
C: 18,000
Explanation:
A survey of City A found an average of 3.2 people per household and an average of 1.2 DVD players per household . If 48,000 people live in City A, how many DVD players are there in City A? Correct Answer 18,000 3.2 people live in 1 house hold 1 people live in 1/3.2 house hold 48000 people live in 48000/3.2 house hold = 15000 house hold 1 house hold contain 1.2 DVD 15000 house hold contain. = ( 1.2 ×15000) = 18, 000 house hold
If two planes leave the same airport at 1:00 p.m., how many miles apart will they be at 3:00 p.m. if one travels directly towards north at 150 miles per hour and the other travels directly towards west at 200 miles per hour?
Correct Answer:
D: 500 miles
X টাকার X% সরল সুদে ৪ বছরের সুদ X টাকা হলে X = ?
Correct Answer:
খ: ২৫
Explanation:
X টাকার X% সরল সুদে ৪ বছরের সুদ X টাকা হলে X = ? সঠিক উত্তর ২৫ ১০০ টাকায় ১ বছরের সুদ ক টাকা ক টাকায় ৪ বছরের সুদ = ক × ক × ৪ /১০০ = ৪ক২/১০০ প্রশ্নমতে, ৪ক২ /১০০ = ক ৪ক = ১০০ ক = ২৫
3 , 12, 30,. 39 are the first five terms of a sequence . Each term after the first is obtained by adding 9 to the term immediately preceding it .which term in the sequence is equal to 3 + (33 -1) 9?
Correct Answer:
D: 33rd
Explanation:
3 , 12, 30,. 39 are the first five terms of a sequence . Each term after the first is obtained by adding 9 to the term immediately preceding it .which term in the sequence is equal to 3 + (33 -1) 9? Correct Answer 33rd First, term, = 3 General difference = 12 - 3 = 9 Here, 3 + ( 33 - 1) 9 = 3 + 32 × 9 = 291 nth term = a + ( n - 1) d 291 = 3 + ( n - 1) 9 n - 1 = 32 n = 33
৫০টি কলা ২০০ টাকায় কিনে ২৫টি কলা ৫০ টাকা দরে বিক্রি করলে শতকরা কত লাভ বা ক্ষতি হবে?
Correct Answer:
ক: ক্ষতি ৫০%
Explanation:
৫০টি কলা ২০০ টাকায় কিনে ২৫টি কলা ৫০ টাকা দরে বিক্রি করলে শতকরা কত লাভ বা ক্ষতি হবে? সঠিক উত্তর ক্ষতি ৫০% ২৫ টি কলার বিক্রয়মূল্য ৫০ টাকা ৫০ টি কলার বিক্রয়মূল্য = ৫০ × ২ টাকা = ১০০ টাকা ক্ষতি = ২০০ - ১০০ = ১০০ টাকা ২০০ টাকায় ক্ষতি হয় ১০০ টাকা ১০০ টাকায় ক্ষতি হয় = ( ১০০×১০০)/২০০ = ৫০ টাকা
What is the sum of 0.15, 0.10 and 0.65?
Correct Answer:
D: 9/10
Explanation:
What is the sum of 0.15, 0.10 and 0.65? Correct Answer 9/10 the sum of 0.15, 0.10 and 0.65 = 0.15 + 0.10 + 0.65 = 15/100 + 10/100 + 65/100 = 90/100 = 9/10(ans)
৮ জন লোক একটি কাজ ৬ দিনে করতে পারে। কাজটি ৩ দিনে করতে হলে কতজন নতুন লোক নিয়োগ করতে হবে?
Correct Answer:
খ: ৮ জন
Explanation:
৮ জন লোক একটি কাজ ৬ দিনে করতে পারে। কাজটি ৩ দিনে করতে হলে কতজন নতুন লোক নিয়োগ করতে হবে? সঠিক উত্তর ৮ জন ৬ দিনে করতে পারে ৮ জন লোক ৩ দিনে করতে পারে ( ৬ × ৮) /৩ = ১৬ জন লোক নতুন নিয়োগ দিতে হবে = ১৬ - ৮ = ৮ জন লোক
একটি দ্রব্য ৮০ টাকায় কিনে ৬০ টাকা বিক্রয় করা হলো। শতকরা কত ক্ষতি হলে?
Correct Answer:
ক: ২৫%
Explanation:
একটি দ্রব্য ৮০ টাকায় কিনে ৬০ টাকা বিক্রয় করা হলো। শতকরা কত ক্ষতি হলে? সঠিক উত্তর ২৫% ক্ষতি = ৮০ - ৬০ = ২০ টাকা ৮০ টাকায় ক্ষতি হয় ২০ টাকা ১০০ টাকায় ক্ষতি হ = ( ২০× ১০০) /৮০ = ২৫ টাকা বা ২৫%
একটি গাড়ির সামনের চাকার পরিধি ৩ মিটার, পিছনের চাকার পরিধি ৪ মিটার। গাড়িটি কত কিলোমিটার গেলে সামনের চাকা পিছনের চাকার থেকে ১০০ বার বেশি ঘুরবে?
Correct Answer:
ঘ: ১.২
Explanation:
একটি গাড়ির সামনের চাকার পরিধি ৩ মিটার, পিছনের চাকার পরিধি ৪ মিটার। গাড়িটি কত কিলোমিটার গেলে সামনের চাকা পিছনের চাকার থেকে ১০০ বার বেশি ঘুরবে? সঠিক উত্তর ১.২ ৩ ও ৪ এর ল, সা, গু = ১২ গাড়িটি ১২ মিটার গেলে সামনের চাকা ঘুরবে = ১২/৩ = ৪ বার গাড়িটি ১২ মিটার গেলে পিছনের চাকা ঘুরবে = ১২/৪ = ৩ বার ১ বার বেশি ঘুরবে ১২ মিটার গেলে ১২০০ মিটার = ১.২ কিলোমিটার।
At a party, everyone shook hands with everybody else. If there were 66 handshakes, how many people were at they party?
Correct Answer:
C: 12
Explanation:
At a party, everyone shook hands with everybody else. If there were 66 handshakes, how many people were at they party? Correct Answer 12 12C2 = 12 ×11 / 2 = 66 handshakes So, total number of people in the party were 12.
যে চতুর্ভুজের বিপরীত বাহুগুলো পরস্পর সমান ও সমান্তরাল তাকে কি বলে?
Correct Answer:
ক: সামান্তরিক
Explanation:
যে চতুর্ভুজের বিপরীত বাহুগুলো পরস্পর সমান ও সমান্তরাল তাকে কি বলে? সঠিক উত্তর সামান্তরিক আমরা জানি, যে চতুর্ভুজের বিপরীত বাহুগুলো পরস্পর সমান ও সমান্তরাল কিন্তু কোন গুলো সমকোণ নয় তাকে সামান্তরিক বলে। যে চতুর্ভুজের চারটি বাহু পরস্পর সমান এবং কোন গুলো সমকোন তাকে রম্বস বলে। যে চতুর্ভুজের বীপরিত বাহুগুলো সমান ও সমান্তরাল এবং কোন গুলো সমকোন তাকে আয়তক্ষেত্র বলে।
এক ব্যক্তি গাড়িযোগে ঘন্টায় ৬০ কিলোমিটার বেগে কিছুদূর অতিক্রম করে ঘন্টায় ৪০ কিলোমিটার বেগে অবশিষ্ট পথ অতিক্রম করে। সে মোট ৫ ঘন্টায় মোট ২৪০ কিলোমিটার যায়। সে ৬০ কিলোমিটার বেগে কত কিলোমিটার গিয়েছিল?
Correct Answer:
খ: ১২০
Explanation:
এক ব্যক্তি গাড়িযোগে ঘন্টায় ৬০ কিলোমিটার বেগে কিছুদূর অতিক্রম করে ঘন্টায় ৪০ কিলোমিটার বেগে অবশিষ্ট পথ অতিক্রম করে। সে মোট ৫ ঘন্টায় মোট ২৪০ কিলোমিটার যায়। সে ৬০ কিলোমিটার বেগে কত কিলোমিটার গিয়েছিল? সঠিক উত্তর ১২০ ধরি, ৬০ কিমি বেগে ক কিলোমিটার যায় ৪০ কিমি বেগে ( ২৪০ - ক) কিলোমিটার যায় ৬০ কিমি যায় ১ ঘন্টায় ক কিমি যায় ক/৬০ ঘন্টায় (২৪০ - ক) কিমি যায় = ২৪০ - ক /৪০ ঘন্টায় ক/৬০ + ২৪০ - ক/৪০ = ৫ - ক + ৭২০ = ৬০০ - ক = ৬০০ - ৭২০ ক = ১২০
টাকায় ১২টি লেবু বিক্রি করায় ২০% ক্ষতি হয়। ৬০% লাভ করতে হলে টাকায় কতটি লেবু বিক্রি করতে হবে?
Correct Answer:
ক: ৬টি
Explanation:
টাকায় ১২টি লেবু বিক্রি করায় ২০% ক্ষতি হয়। ৬০% লাভ করতে হলে টাকায় কতটি লেবু বিক্রি করতে হবে? সঠিক উত্তর ৬টি ক্রয়মূল্য ১০০ টাকা হলে, ২% ক্ষতিতে বিক্রয়মূল্য = ১০০ - ২০ = ৮০ টাকা ৬০% লাভে বিক্রয়মূল্য = ১০০ + ৬০ = ১৬০ টাকা পূর্বের বিক্রয়মূল্য ৮০ টাকা হলে বিক্রয় করতে হবে ১৬০ টাকায় ১ টাকা হলে বিক্রয় করতে হবে = ১৬০ /৮০ = ২ টাকায় ২ টাকায় বিক্রয় করতে হবে ১২ টি লেবু ১ টাকায় বিক্রয় করতে হবে ১২/২ টি লেবু = ৬ টি লেবু
Mr. Ahsan is insured competely for Tk. 50,000 of damages to his car. For any damage avove Tk. 50,000 the insurance company will pay tk 50,000 plus 20% of the rest of the company. what was the total amount of the damage estimated?
Correct Answer:
D: Tk.80,000
Explanation:
Mr. Ahsan is insured competely for Tk. 50,000 of damages to his car. For any damage avove Tk. 50,000 the insurance company will pay tk 50,000 plus 20% of the rest of the company. what was the total amount of the damage estimated? Correct Answer Tk.80,000 Damage insured = Tk. 50000 Damage paid by company = Tk. 56000 Damage extra paid = 6000 Now, 20% = 6000 10% = ( 6000×100)/20 = 30000 Total estimated damage = Tk ( 50, 000 + 30, 000) = Tk. 80, 000
In a college, 45% of the students are boys. If 40% of the boys and 20% of the girls went on a picnic, what percentage of the total students went to the picnic?
Correct Answer:
C: 29%
Explanation:
In a college, 45% of the students are boys. If 40% of the boys and 20% of the girls went on a picnic, what percentage of the total students went to the picnic? Correct Answer 29% Boy's 45%, So, Girls = ( 100 - 45) % = 55% Boy's went to picnic = 45% of 40% = 18% Girls went to picnic = 55% of 20% = 11% Total students went on a picnic = ( 18 + 11) % = 29 %
present age of Farzana is thrice the present age of Samira who is 20. How many years ago were the age of Farzana five times that of Samira?
Correct Answer:
B: 10
Explanation:
present age of Farzana is thrice the present age of Samira who is 20. How many years ago were the age of Farzana five times that of Samira? Correct Answer 10 Here, Samiras age = 20 years Farzana age = ( 20×3) years = 60 years Let, x years age Farzana was five times of Samira According to question, (20 - x) 5 = 60 - x 100 - 5x = 60 - x 4x = 40 x = 10
Buffet dinner at a restaurant costs Tk 35.50 . If the sales tax was more than 10 percent but less than 15 percent of the pre-tax cost of the dinner, then the total amount paid must have been between--
Correct Answer:
B: Tk 39 & Tk 41
Explanation:
Buffet dinner at a restaurant costs Tk 35.50 . If the sales tax was more than 10 percent but less than 15 percent of the pre-tax cost of the dinner, then the total amount paid must have been between-- Correct Answer Tk 39 & Tk 41 The minimum value of 10% including tax = 35.50 + 3.55 = 39.05 and the maximum value of 15% including tax = 35.50 + 5.325 = 40.825 So, the total amount will be paid Tk. 39 and tk. 41
A two -digit number is such that the product of the digits is 8. when 18 is added to the number , then the digits are reversed. what is the number?
Correct Answer:
B: 24
Explanation:
A two -digit number is such that the product of the digits is 8. when 18 is added to the number , then the digits are reversed. what is the number? Correct Answer 24 Quickly add 18 to the given answer 24 + 18 = 42 digits are reversed.
Baki lives 2 miles west of Raju's house. Rafiq lives 3 mniles north of Raju's house and 2 miles west of Diba's house. What is the straight-line distance from Bakis's house to Diba's house?
Correct Answer:
A: 5 miles
Explanation:
Baki lives 2 miles west of Raju's house. Rafiq lives 3 mniles north of Raju's house and 2 miles west of Diba's house. What is the straight-line distance from Bakis's house to Diba's house? Correct Answer 5 miles From pithagorous theorem, Distance = root (4)2 + (3)2 = 5 miles
Eight people are planning to share equally the cost of a rental car . If one person withdraws from the arrangement and the others share equally the entire cost of the car ,then the share of each of the remaining persons will be increased by -
Correct Answer:
A: 1/7
Explanation:
Eight people are planning to share equally the cost of a rental car . If one person withdraws from the arrangement and the others share equally the entire cost of the car ,then the share of each of the remaining persons will be increased by - Correct Answer 1/7 Original share of 1 person = 1/8 New share of 1 person = 1/7 Increase = ( 1/7 - 1/8) = 1/56 Required fraction = (1/56) / (1/8) = 1/7
What is the minimum number of chocolates that must be added to an existing stock of 966 chocolates, so that the total stock can be equally distributed among 6 ,7 , 8 or 9 persons?
Correct Answer:
B: 42
Explanation:
What is the minimum number of chocolates that must be added to an existing stock of 966 chocolates, so that the total stock can be equally distributed among 6 ,7 , 8 or 9 persons? Correct Answer 42 6, 7, 8, 9 L.C.M = 2×3×7×4×3 = 504 Existing stock = 966 So, minimum number of chocolates require = ( 504×2) - 966 = 42
The present ages of three persons are in the ratio of 4: 7:9 Eight years ago, the sum of their ages was 56. what are their present ages in years?
Correct Answer:
B: 16, 28, 36
Explanation:
The present ages of three persons are in the ratio of 4: 7:9 Eight years ago, the sum of their ages was 56. what are their present ages in years? Correct Answer 16, 28, 36 Let, their present ages be, 4x, 7x, 9x respectively Then, ( 4x - 8) + ( 7x - 8) + ( 9x - 8) = 56 20x = 80 x = 4 Present ages are 4x = 16, 7x = 28 and 9x = 36 years
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased?
Correct Answer:
D: 125
Explanation:
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 percent larger than the original. By what percentage has the area of the logo increased? Correct Answer 125 Original area = A1 = π(d1)2/4 New area = A2 = π(d2)2/4 A1/A2 = d22/d12 = (1.5)2 = 2.25 A2 = 2.25A1 So, increase = 2.25A1 - A1 = 1.25A1 This is an increase of 125%
A can do a piece of work in 4 hours, B and C together can do it in 3 hours , while A and C together can do it in 2 hours. How long will B alone take to do it?
Correct Answer:
C: 12 hours
Explanation:
A can do a piece of work in 4 hours, B and C together can do it in 3 hours , while A and C together can do it in 2 hours. How long will B alone take to do it? Correct Answer 12 hours A 1 hour work = 1/4 (B + C) 1 hour work = 1/3 (A + C) 1 hour work = 1/2 (A + B + C) 1 hour work = (1/4 + 1/3) = 7/12 B 1 hour work = ( 7/12 - 1/2) = 1/12 B alone will take 12 hour to do the work.
A water tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tankfrom empty state if B is used for half the time , and A B fill it together for the other half?
Correct Answer:
A: 30 min
Explanation:
A water tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tankfrom empty state if B is used for half the time , and A B fill it together for the other half? Correct Answer 30 min Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24 Suppose , the tank is filled in x minutes Then x/2 ( 1/24 + 1/40) = 1 x/2 × 1/15 = 1 x = 30 min
50 men took a dip in a water tank 40m long and 20m broad on a religious day. If the average displacement of water by a man is 4 m3 , then the rise in the water level in the tank will be --
Correct Answer:
A: 25 cm
Explanation:
50 men took a dip in a water tank 40m long and 20m broad on a religious day. If the average displacement of water by a man is 4 m3 , then the rise in the water level in the tank will be -- Correct Answer 25 cm Total volume of water displacement = 4×50 = 200m3 Rise of water level = 200/(40×20) m = . 25m = 25 cm
If a person walks at 14 km/jr omstead pf 10 km /hr , he can cover 20 km more. The actual distance traveled by him is--
Correct Answer:
A: 50 km
Explanation:
If a person walks at 14 km/jr omstead pf 10 km /hr , he can cover 20 km more. The actual distance traveled by him is-- Correct Answer 50 km Let, the actual distance travelled be x km Then, x/10 = (x + 20)/14 14x = 10x + 200 4x = 200 x = 50 km
A group of students decided to collect as many paisa from each from each member of a group as is th number of members. If the total collection amounts to Tk 59.29 , what is the m=number of members in the group?
Correct Answer:
C: 77
Explanation:
A group of students decided to collect as many paisa from each from each member of a group as is th number of members. If the total collection amounts to Tk 59.29 , what is the m=number of members in the group? Correct Answer 77 Money collected = ( 59.29 ×100) paisa = 5929 paisa No of numbers = root(5929) = 77
Farhana deposited TK.10,000 in a Bank at 13.25% interest rate compounded annually. At the end of the second year, the total amount including interest will become how much ?
Correct Answer:
A: TK.12,826
Explanation:
Farhana deposited TK.10,000 in a Bank at 13.25% interest rate compounded annually. At the end of the second year, the total amount including interest will become how much ? Correct Answer TK.12,826 C = P(1 + r/n)nt [C = principal with interest, P = principal, r = rate of interest, n = number of times interest is compounded per time period, t = number of time periods] Here, P = 10000 TK, r = 13.25% , n = 1 , t = 2 C = 10000(1 + 13.25/100)1×2 = 10000 × 1.2826 = 12826 TK
Selim deposited a total of taka 120,000 in two savings accounts for one year. One account offered him 8% interest and the other 10% . If he earned taka 10,000 as interest, how much did he deposit at 8% ?
Correct Answer:
B: TK. 100,000
Explanation:
Selim deposited a total of taka 120,000 in two savings accounts for one year. One account offered him 8% interest and the other 10% . If he earned taka 10,000 as interest, how much did he deposit at 8% ? Correct Answer TK. 100,000 Let the amount deposited at 8% and 10% interest be X and (120000 - X) respectively. Interest, I = P n r Now, X × 1 × 8/100 + (120000 - X) × 1 × 10/100 = 10000 [total interest] 8X + 10(120000 - X) = 1000000 [multiplying both sides by 100] or, 8X + 1200000 - 10X = 1000000 or, 10X - 8X = 1200000 - 1000000 or, 2X = 200000 So, X = 100,000 TK
If the purchasing price of 15 apples and selling price of 12 apples are the same then how much is the gain in percentage form ?
Correct Answer:
D: 25%
Explanation:
If the purchasing price of 15 apples and selling price of 12 apples are the same then how much is the gain in percentage form ? Correct Answer 25% Purchasing price of each apple = 1/15 Selling price of each apple = 1/12 Gain percentage = (1/12 - 1/15) / (1/15) × 100% = (5 - 4)/60 / (1/15) × 100% = 1/60 × 15 × 100% = 25%
A can do a piece of work in 10 days. While B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Tk 450 for the whole work, how much money C should get from the whole?
Correct Answer:
B: Tk. 75
Explanation:
A can do a piece of work in 10 days. While B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get Tk 450 for the whole work, how much money C should get from the whole? Correct Answer Tk. 75 A এবং B এর 5 দিনের work = 5 ( 1/10 + 1/15) = 5/6 বাকি কাজ থাকে = 1 - 5/6 = 1/6 C এর 2 দিনের কাজ = 1/6 তাদের কাজের অনুপাত = 5/10 :5/15 : 1/6 = 3:2:1 তাহলে C এর টাকা = (450 × 1/6) = 75 টাকা।
The average of 5 consecutive numbers is n. If the next two numbers are also included, the average will :
Correct Answer:
B: increase by 1
Explanation:
The average of 5 consecutive numbers is n. If the next two numbers are also included, the average will : Correct Answer increase by 1 ধরি, প্রথম সংখ্যাটি a তাহলে, ( a + a + 1 + a + 2 + a + 3 + a + 4)/5 = x (5a + 10)/5 = x a + 2 = x এখন পরের দুটি যোগ করলে, (7a + 21)/7 = a + 3 = a + 2 + 1 = x + 1 অর্থাৎ 1 increase হয়েছে।
1 year ago the ratio between A's and B's sakary was 3:4. Rations of their individual salaries between last year's and this year's salaries are 4:5 & 2:3 respectively. At present the total of their salary is Tk. 4160. How much is the salary of A now?
Correct Answer:
C: Tk 1600
Explanation:
1 year ago the ratio between A's and B's sakary was 3:4. Rations of their individual salaries between last year's and this year's salaries are 4:5 & 2:3 respectively. At present the total of their salary is Tk. 4160. How much is the salary of A now? Correct Answer Tk 1600 ৩ : ৪ আগের বেতন এর অনুপাত, ধরি, আগে ৩০০ এবং ৪০০ পেত। আগে A ৩০০ পেলে এখন পায় = ৫/৪×৩০০ = ৩৭৫ আগে B ৪০০ পেলে এখন পায় = ৩/২×৪০০ = ৬০০ এখন পাওয়ার অনুপাত তাহলে ৩৭৫ : ৬০০ ৩৭৫ক + ৬০০ক = ৪১৬০ ৯৭৫ক = ৪১৬০ ক = ৪.২৬ তাহলে, A এর বেতন = ৩৭৫×৪.২৬ = Tk. 1600
By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than usual. His usual time is :
Correct Answer:
D: 60 minutes
Explanation:
By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than usual. His usual time is : Correct Answer 60 minutes প্রতিবার সে একই distance অতিক্রম করে, ধরি, usual speed = 1 একক এবং, usual সময় = x min দূরুত্ব = বেগ×সময় d = 3/4 (x + 20) = 1× x 3x + 60 = 4x x = 60
A man rows at 6 km/hr in still water and 4.5km/hr against current. His rate along the current is :
Correct Answer:
B: 7.5 km/hr
Explanation:
A man rows at 6 km/hr in still water and 4.5km/hr against current. His rate along the current is : Correct Answer 7.5 km/hr along the current হচ্ছে current এর সাথে, তাহলে current তাকে row করতে সাহায্যে করবে। এটি হবে নিজের rate + current এর rate এখন current এর rate = 6 - 4.5 = 1.5 km/hr along rate = 6 + 1.5 = 7.5 km/hr
A man lends Tk 10000 in four parts. If he gets 8% on tk 2000, 7.5% on Tk 4000 and 8.5% on Tk 1400, what percent must he get for the remainder, if the average interest is 8.13%?
Correct Answer:
C: 9
Explanation:
A man lends Tk 10000 in four parts. If he gets 8% on tk 2000, 7.5% on Tk 4000 and 8.5% on Tk 1400, what percent must he get for the remainder, if the average interest is 8.13%? Correct Answer 9 Total interest পেতে হবে = 10000×8.13/100 = 813 টাকা। এখন পর্যন্ত ( 2000 + 4000 + 1400) বা, 7400 টাকায় মোট interest = 2000×0.8 + 4000×0.75 + 1400×0.085 = 160 + 300 + 119 = 579 টাকা তাহলে, টাকা পাওয়া বাকি ( 10000 - 7400) = 2600 , interest বাকি = 813 - 579 = 234 তাহলে, 2600 এর x% = 234 হলে x = (234×100)/2600 = 9%
If the sum of (8, 5 and x ) is 21, then the average of (8, 5 and x ) is -
Correct Answer:
A: 7
Explanation:
If the sum of (8, 5 and x ) is 21, then the average of (8, 5 and x ) is - Correct Answer 7 According to question, 8 + 5 + x = 21or, x = 21 - 13so, x = 8So, the average is =8+5+83 or 213 or 7.
What is the angle between the hour and minute hand of clock when it is 12.20 pm by the clock?
Correct Answer:
C: 110০
Explanation:
What is the angle between the hour and minute hand of clock when it is 12.20 pm by the clock? Correct Answer 110০ মধ্যবর্তী কোণ = | 11×20 - 60×12/2 |0 = | - 500/2|0 = 2500 So, the angel = 3600 - 2500 = 1100
Six years from now the combined age of father and son will be 54. If, currently , son is 5 times younger than his father then what is the present age of the father ?
Correct Answer:
C: 35
Explanation:
Six years from now the combined age of father and son will be 54. If, currently , son is 5 times younger than his father then what is the present age of the father ? Correct Answer 35 Let the present age of son and his father be S and 5S respectively. Six years from now, their ages will be (S + 6) and (5S + 6) respectively. So, S + 6 + 5S + 6 = 54 or, 6S + 12 = 54 or, 6S = 54 - 12 or, 6S = 42 or, S = 42/6 = 7 So, present age of the father = 5 × 7 = 35 years
A reduction of 21% in the price of pulse enables a person to by 10.5 kg more for Tk. 100. How much is reduced per kg of pulse?
Correct Answer:
C: Tk 2
Explanation:
A reduction of 21% in the price of pulse enables a person to by 10.5 kg more for Tk. 100. How much is reduced per kg of pulse? Correct Answer Tk 2 ধরি, original দাম = x Tk per kg reduced দাম = 79x/100 Tk per kg তাহলে, 100/(79x/100) - 100/x = 10.5 10000 - 7900 = 10.5 × 79x x = 2100/(10.5×79) তাহলে, required price = 79/100×2100/(10.5×79) = 2 Tk per kg
A bookseller can gain 6.666% if he offers a 20% commission on the written selling price of a book. If the commission is reduced to 10% , what will be his gain ?
Correct Answer:
C: 20%
Explanation:
A bookseller can gain 6.666% if he offers a 20% commission on the written selling price of a book. If the commission is reduced to 10% , what will be his gain ? Correct Answer 20% Let the actual and written price be A and S respectively. Selling price at 6.666% gain = A + 6.666% of A = 1.0666A Selling price at 20% commission or written price = S - 20% of S = S - 0.2S = 0.8S Selling price at 6.666% gain = Selling price at 20% commission on written price or, 1.066A = 0.8S or, S = 1.066A/0.8 = 1.33325A Selling price at 10% commission = S - 10% of S = S - 0.1S = 0.9S So, gain at 10% commission on written price = (0.9S - A) / A x 100% = (0.9 ×1.33325A - A) / A × 100% = (1.2A - A) / A × 100% = 0.2 × 100% = 20%
Farhana has a cake recipe which states that the cake should be baked in a pan 8 inches in diameter. If farhana wants to use the recipe to make a cake of same depth but 12 inches in diameter,by what factor she should multiply the recipe ingredients?
Correct Answer:
A: 2.25
Explanation:
Farhana has a cake recipe which states that the cake should be baked in a pan 8 inches in diameter. If farhana wants to use the recipe to make a cake of same depth but 12 inches in diameter,by what factor she should multiply the recipe ingredients? Correct Answer 2.25 Let the depth of the cake be h. Volume of the smaller cake, π r2 h = π (8/2)2 × h = 16πh Volume of the larger cake, π R2 h = π (12/2)2 × h = 36πh So, ingredients should be multiplied by (36πh / 16πh) = 2.25
Which of the following fractions is smaller than 8/9 and greater than 2/5 ?
Correct Answer:
A: 3/7
A watermelon is divided into 18 equal pieces. If Naz takes 1/3 of the watermelon and Sarah takes 1/3 of the rest that are left, how many pieces are still left ?
Correct Answer:
C: 8
Explanation:
A watermelon is divided into 18 equal pieces. If Naz takes 1/3 of the watermelon and Sarah takes 1/3 of the rest that are left, how many pieces are still left ? Correct Answer 8 Naz takes = 1/3 of 18 = 6 pieces Sarah takes = 1/3 of (18 - 6) = 1/3 of 12 = 4 pieces Number of pieces left = 18 - (6 + 4) = 18 - 10 = 8 pieces
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. what is the number?
Correct Answer:
B: 253
Explanation:
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. what is the number? Correct Answer 253 253 + 99 = 352, The number of are reversed.
If 3/p =6 and 3/q =15 then p -q =?
Correct Answer:
C: 3/10
Explanation:
If 3/p =6 and 3/q =15 then p -q =? Correct Answer 3/10 Here, 3/p = 6 or, p = 3/6 = 1/2 Again, 3/q = 15 or, q = 3/15 = 1/5 Now, p - q = 1/2 - 1/5 = 3/10