উচ্চতর গণিত MCQs
Showing 50 questions (Total: 10201)
During the four years that Mr. Rahim owned his car,he found that his total car expenses were Tk. 18,000. Fuel and maintenance costs accounted for 1/3 of the total cost and together these two costs accounted for 1/5 of the total cost. If the only other expenses were taxes and License fees, then the cost of financing was how more of less than the cost of taxes and license fees?
Correct Answer:
A: 300 tk less
Three valves, when opened individually, can drain the water from a certain tank in 3,4 and 5 minutes respectively . What is the greatest part of the tank that can be drained in one minute by opening just two of valves?
Correct Answer:
A: 7/12
A factory that employs 1000 assembly -in workers pays each of these workers at a rate of Tk. 5 per hour for the first 40 hours worked during a week and 1.5 times that rate for the hours worked in excess of 40 hours. whatis the total amount paid to the workers in a week in which 30% of the workers worked 20 hours, 50% worked 40 hours and the rest of the workers worked 50 hours?
Correct Answer:
A: 1,85,000
A taxicab charges Tk. 1.00 for the first one-fifty mile of a trip and Tk. 0.20 miles long. what is the fare?
Correct Answer:
C: 45
If n is an integer such that when n is divided by 2 , the remainder is 1, when n is divided by 3, the remainder is 2, and when n is divided by 4, the remainder is 3. what is the least possible value of n?
Correct Answer:
A: 23
One copy machine can make 20 copies a minute, and a second copy machine makes 15 copies a minute. If the two copies work together, how long would it take them to make 2100 copies?
Correct Answer:
A: 60 minutes
sin2040° এর মান কত ?
Correct Answer:
খ: -32
যদি A+B+C = π হয় তবে sin2A+sin2B+sin2C এর মান hobe-
Correct Answer:
A: 4sinA sinB sinC
কোন বিন্দুর পোলার স্থানাঙ্ক (3,90°) হলে বিন্দুটির কার্তেসীয় স্থানাংক হবে-
Correct Answer:
খ: (0,3)
একখানা টেবিল 96 টাকায় বিক্রি করলে টেবিল এর ক্রয়মূল্য যত, লাভের শতকরা তত হয়। টেবিলটির মূল্য কত ?
Correct Answer:
গ: 60
একজন সাইকেল আরোহী একটি ইঞ্জিনের 84 মিটার পশ্চাৎ হতে 20সে/মি সমবেগে তার দিকে যাত্রা করল । একই সময়ে 2 m/s2 সমত্বরণে সম্মুখের দিকে ইঞ্জিনটি যাত্রা করল । তারা মিলিত হবে-
Correct Answer:
গ: 6 ও 14 সে
একটি হজ্জ্ব ফ্লাইট এর প্রত্যেক যাত্রী বাংলা , ইংরেজি ও আরবি ভাষার অন্ততঃ একটি জানে । ওই যাত্রীদের 150 জন বাংলা, 138 জন ইংরেজি ও 120 জন আরবি জানে । আবার 70 জন ইংরেজি ও বাংলা, 80 জন আরবি ও ইংরেজি, 60 জন বাংলা ও আরবি এবং 30 জন যাত্রী তিনটি ভাষাই জানে । ওই ফ্লাইটের যাত্রী সংখ্যা কত ?
Correct Answer:
খ: 228
আনুভূমিক এর সাথে 30° কোণের নত একটি মসৃণ তলের উপর 50 গ্রাম ভরের একটি বস্তু রাখা হলো । একটি রশির প্রান্তে বস্তুটিকে সংযুক্ত করার পর অপর প্রান্তে 38 গ্রাম ভরের একটি বস্তুকে সংযুক্ত করে তলের সর্বোচ্চ প্রান্তে রক্ষিত হালকা মসৃণ কপিকল এর ওপর দিয়ে খাঁড়াভাবে নিচের দিকে ঝুলিয়ে দেওয়া হলো রশি টান কত ?
Correct Answer:
খ: 31771 ডাইন
ব্যঞ্জন বর্ণগুলোকে বিজোড় স্থানে রেখে 'EQUATION' শব্দটির বর্ণগুলোকে কত প্রকারে সাজানো যায় ?
Correct Answer:
গ: 2880
ddx(ax+b)n এর মান হলো-
Correct Answer:
ক: an(ax+b)n-1
A merchant sells an item at a 20 percent discount, but still makes a gross profit of 20% percent of the cost. What percent of the cost would be the gross profit on the item, if it were sold without discount?
Correct Answer:
C: 50%
The owner of an apple orchard ships apples in boxes that weight 2 kg when emply. The average apple weight 0.25 kg, and the total weight of a box filled with apples is 12 kg. How many apples are packed in each box?
Correct Answer:
B: 40
Let a, b and c be positive prime integers such that a+b=c. What is the sum of the three smallest possible values c?
Correct Answer:
B: 25
Rahim has a business of ranting out costume products. For each costume he rents out, Rahim receives a commission of Tk. 15 plus 20% of the rental price. During one particular month, Rahim rented out 50 costumes for a total price of Tk. 7,950. What is the total amount of commission he received in that month?
Correct Answer:
D: TK. 2,340
A square and an equilateral triangle each have sides of length 5. What is the ratio of the area of the square to the area of the triangle?
Correct Answer:
C: 4/√3
Let the lenghts of the sides of a triangle be represented by x+3, 2x-3, 3x-5. If the perimeter of the triangle is 25, what is the lenght of the shortest side?
Correct Answer:
B: 7
Jony has 30 pages to read for history class tonight. He decided that he would take a break when he finished reading 70% of the pages assigned. How many pages must he read before he takes a break?
Correct Answer:
D: 21
The living room in Dina’s home is 182 square feet. How many square yards of carpet should she purchase to carpet the room?
Correct Answer:
A: 21 square yards
The length of a field i 1.5 times of it s width . If the width if this field is 20 meters. find out the cost of fencing the field at a cost of Tk. 5.0 per meter.
Correct Answer:
A: 500
In this diagram , if PQRS is a parallelogram,then x=?
Correct Answer:
A: 80 deg
the average age of a group of person going for a picnic is 16 years. twenty new person with the average are of years joined the group on the spot. Due to that, the average age of the group became 15 half years. what is the number of persons initially going for the picnic.
Correct Answer:
A: 20
In a coffee mixture, the ratio of coffee. milk, sugar and cream are mixed by the weight in the ratio of 5:3: 2: 2 respectively. How many kg of coffee are there in 18 kgs of the mixture?
Correct Answer:
A: 7.5 kb
Asif has a square garden with a perimeter of x feet. David has a rectangular garden with a perimeter of x feet and the length is I fool longer than the weight in the ratio of 5: 3: 2:2 respectively. How many kgs of coffee are there in 18 kgs of the mixture?
Correct Answer:
A: David
An emergency vehicle travels 10 miles at a speed of 50 kilometers per hour. How fast must the vehicle travel on the return trip if the round trip travail time is to be 20 minutes?
Correct Answer:
A: 75 Kmph
A person worksin affirm on monthly salary basis he gets a fixed amount of increment at the end of each year. His monthly salary is Tk. 3500 at the end of 4 th year and Tk. 4250 at the end of 10th yar. what was his initial monthly salary?
Correct Answer:
A: 3125
A fruit vendor purchased 35 dozens of apple at TK. 10 per dozen. Out of those, two dozens got rotten and he sold 28 dozens at Tk. 12 per dozen. Remaining apples were sold by him for TA. 15 per dozen. Find the amount of total profit made by the vendor in this business.
Correct Answer:
A: 61
If x is an integer and x2<37 what is the greatest possible value of x minus the least possible value of x?
Correct Answer:
A: 12
Total number of telephone calls is 'n' call charge is Tk. 'p' per call. Then total call charge is:
Correct Answer:
C: (n *p)
Two ships leave a port at the same time, Ship A sails 300 miles to West and Ship B Sails 400 miles to the North. How fat apart are the ships at the end of their trips?
Correct Answer:
C: 500 miles
Six men can earn as much as eight women, two women can earn as much as three boys and four boys can earn as much as five girls. If a girl can earn Tk. 50 a day, what amount can a man earn in a day?
Correct Answer:
B: Tk 125
Two workers, working separately but at the same speed, take hours 40 minutes to complete a particular task, How long will one of these two workers take to complete the same task alone?
Correct Answer:
D: 5 hours 20 minutes
Outside a square garden there is a path of 5 metres width around it, If the area of the path is 500 square metres, what is the area of the garden?
Correct Answer:
C: 400
For a picnic, a bus was rented for Tk. 2400 and it was decided that every passenger would have to share the fare equally. But due to the absence of 10 passengers, fare per head was increased by Tk. 8. How many passengers did go by the bus?
Correct Answer:
C: 60
A person spends 20 percent of his monthly salary for his son's education, In the coming month, he is expected to get an increment also for his son's education, The total he would spend then for his son's education would be Tk. 645. What is the present salary of that person?
Correct Answer:
A: Tk. 2800
Present age of mother is 4 times the sum of the ages of her two daughters, After 5 years, mothers ages will be twice the sum of the ages of the two daughters, What is the present age of the mother?
Correct Answer:
B: 30 years
The length of each side of square A is increased by 100 percent to make square B. Again the length of each side of square B is increased by 50 percent to make square C. By what percent is the area of square C greater than the sum of the areas of square A and B?
Correct Answer:
B: 80%
The sum of three digits of a number is 10, The middle digit is equal to the sum of other two, and the number will be increased by 99 if the first and third digits be interchanged. What is the original number?
Correct Answer:
B: 253
A sport goods store ordered an equal number of white and yellow tennis balls. The tennis ball company delivered 30 extra tennis ball, making the ratio of white balls to yellow balls 6:5, How many tennis ball did the sport goods store originally order?
Correct Answer:
D: 330
Select the correct answer choice of the following Question : "9 men went to a restaurant together. 8 of them spent Tk. 3 each over their meals and the 9th man spent Tk, 2 more than the average expenditure of all the 9 men, Find out the total money spent by the 9 men?"
Correct Answer:
C: Tk. 28.25
Select the correct answer choice of the following Question : "A person spends 20 percent of his monthly salary for his son's education. In the coming month, he is expected to get an increment of TA. 170 and he plans to spend half of that increment then for his son's education. The total he would spend then for his son's education would be TA. 645. What is the present salary of that person?"
Correct Answer:
B: Tk, 1456
Select the correct answer choice of the following Question : "Sum of ages of Sunny and Imran is Y years. If Sunny is 12 years older than Imran, how many years old will Imran be Y years from now, in terms of Y?"
Correct Answer:
C: Y/2-6
Select the correct answer choice of the following Question : "An investor has a total capital of TA. 13,00,000. He invested a part of it in 3 percent annual interest and the reminder at 4 percent annual interest rate. If his annual interest amount was Tk. 44,000 how much did he invest in each?"
Correct Answer:
C: Tk. 9,00,000 in 3% and 4,00,000 in 4%
Select the correct answer choice of the following Question :" An empty swimming pool with a capacity of 5760 gallons is filled at the rate of 12 gallons per minute, How many hours does it take to fill the pool to capacity?
Correct Answer:
C: 11
Select the correct answer choice of the following Question : "The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded then the average of the remaining 38 innings becomes 48 runs. What is his highest score?"
Correct Answer:
B: 182
Select the correct answer choice of the following Question : "The ratio of working hours of three workers is 1 : 2 : 5, If they worked on a combined total of 112 hours, what is the longest hour did one worker work?"
Correct Answer:
B: 70