উচ্চতর গণিত MCQs
Showing 50 questions (Total: 10201)
A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution . If 45 cubic centimeters of solution were poured into an empty container how many grams of glucose would be in the container?
Correct Answer:
D: 6.75
Arman invested Tk. 10,000 in a mutual fund account there years ago . The value of the account increased by 10% during the first year , increased by 5% during the second year but unfortunately decreased by 10% during the penultimate year. What is the value of the account today?
Correct Answer:
B: 10,395
Khulna University has astudent -to teacher ratio of 11 to 1. The average annual salary of the teachers is Tk. 26,000. If the university pays a total of 33,80,000 in annual salaries to its teachers, how many students the university have?
Correct Answer:
C: 1430
If n and p are both odd numbers,which of the following numbers must be an even number?
Correct Answer:
A: n + p
The ratio between the length and the breadth of a rectangular park is 3: 2 if a man cycling along the boundary of the park at the speed of 20 km /hr completes on round in 8 minutes, then what would be the area of the park in square kilometer?
Correct Answer:
B: 153,600
A tap can fill the tank in 15 minutes and another can empty it in 5 minutes. If the tank is already half -full and both the taps are opened together , how many minutes will the tank take to be emptied?
Correct Answer:
A: 8
If x and y are the two digits of the number 653XY in such that this number is divisible by 80 , then what is the value of x + y?
Correct Answer:
D: 6
A train of length 100 m is moving at a speed of 50 km / h. A horse is running along side the train at a speed of 56 km/h. How long will it take to overtake the train?
Correct Answer:
C: 60 seconds
A secretary typed 6 letters, each of which had either 1 to 2 page. If the secretary typed 10 pages in all. how many letters has 2 pages?
Correct Answer:
D: 4
A man bought a certain number of golf balls for $ 20. If each ball had cost 20 cents less, he could have bought five more for the same money. How many golf balls did he buy?
Correct Answer:
Correct Answer:
The value of 10 pounds of gold is d dollars, and a pound of gold has the same value as p pounds of silver. what i the value, in dollars of one pound of silver?
Correct Answer:
C: d /10p
In a class 20 children were sharing equally the cost of a present for their teacher . when 4 of the children decided not to contribute each of the other children had to pay TA. 1.50 more. How much did the present cost?
Correct Answer:
D: 120
Father is aged three times more than his son Ronit. After 8 years, he would be tow and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age
Correct Answer:
A: 2 times
A tap can fill a tank in 15 minutes and another can empty it in 8 minutes, If the tank is already half full and both taps are opened together, the tank will be:
Correct Answer:
D: emptied in 8 min
There are two examination rooms, A and B, If 10 students are sent from A to B, then the number of students in each room is the same . If 20 students in A is double the number of students in B. The number of students in room A is:
Correct Answer:
D: 100
In the figure below AD=4 AB=3 and CD=9, what is the area of triangle ACE?
Correct Answer:
D: 4.5
The price of a laptop was sold at 10% discount on the price . If the profit is Tk. 2400 what was the cost of the laptop is TK?
Correct Answer:
B: 24,000
`A car going 40 miles per hour set out on an 80 miles trip at 9.00 A.M. Exactly 10 minutes latter, a second car left from miles per hour, was the second car going if it caught up with the first car at 10.30 A. M.?
Correct Answer:
A: 45
In a local election X and Y contested. X won the election as the ratio to his votes and those of Y was 4:3 The total number of voters was 5810, of which 910 , did not vote . what is the margin of votes by which Y was defeated?
Correct Answer:
B: 700
There are 12 men on basketball team , and in a game 5 of them play at any one time. If the game is 1 hour long and if each man plays exactly the same amount of time, how many minutes each man play?
Correct Answer:
Correct Answer:
If the radius of a circle is increased by 6% , then the area of the circle is increased by-
Correct Answer:
C: 12.36%
On a certai project, the only grades awarded were 745 and 100. If 85 students completed the projects and the average of their grades was 85, how many of them did score 100?
Correct Answer:
A: 34
In a survey of the town bogra , it was found that 65% of the people surveyed watched the news on TV, 40% read a newspaper and watched the news on TV, what percentage of the people surveyed neither watched the news on V nor read a newspaper?
Correct Answer:
Correct Answer:
A club had 3 boys and 5 girls. During a membership drive, the same number of boy and girls joined the club. How many members does the club have now , if the ratio of the boys to girls is 3:4?
Correct Answer:
B: 14
Rahim is paid twice the hourly wages of selim ,Karim is paid one -third of the hourly wage of Karim is delim paid?
Correct Answer:
A: 2/3
A steel mill produces 180 tons of steel per month Raw materials cost for each ton of production is Tk. 1200. Other expenses of that mill are Tk. 90,000 in each month what should be the selling price of each ton of steel in order to make 10% profit?
Correct Answer:
A: 1870
Nafiz inherited 30% of his father's asset . After paying a tax of 20% of his inheritance, what percent of hos father's asset does Nafiz own now?
Correct Answer:
A: 24%
If X is 150 more than Y , what is the value of Y in the figure on the right hand side?
Correct Answer:
A: 15 degree
Calculate the ratio of girls to boys if nine-fifth of the students in the class are boys.
Correct Answer:
A: 4.5
The ratio of the angles of a triangle is 2: 3: 4 calculate the value of the largest angle in the triangle.
Correct Answer:
A: 80 degree
A cricketer has a certain average in 9 imings . In the 10th innings he scored 100 run and thus increases his average by 8 runs . What is his -new average?
Correct Answer:
A: 28
Gold is 19 times as heavy as water and Copper is 9 times as heavy as water. Calculate the ratio in which these two metals should be mixed so that the mixture is 15 times as heavy as water.
Correct Answer:
A: 40
tan y =2t1-t2,sinx = 2t1+t2 হলে dydx কত ?
Correct Answer:
D: 1
যদি a→ ও b→ একক ভেক্টর হয় এবং (a→ + b→) ও একটি একক ভেক্টর হয়, তবে a→ এবং b→ এর মধ্যে কোণ কত ?
Correct Answer:
ঘ: 2π/3
5 জন বিজ্ঞান ও 3 জন কলা বিভাগের ছাত্রের মধ্য থেকে 4 জনের একটি কমিটিতে অন্তত একজন বিজ্ঞানের ছাত্র নিয়ে কয়টি কমিটি হতে পারে ?
Correct Answer:
ক: 70
যদি 5 tan θ = 4 হয় তাহলে 5 sinθ - 3cos θsinθ+2cosθ=?
Correct Answer:
গ: 5/14
θ কোণ শূন্য থেকে বেড়ে 90° হলে cosθ অনুপাত-
Correct Answer:
ক: 1 থেকে কমে 0 হয়
নীচের কোনটি ভুল ?
Correct Answer:
ঘ: বাস্তব সংখ্যার পরম মান ঋণাত্বক হতে পারে ।
e3x এর বিস্তৃতিতে x7 এর সহগ কত ?
Correct Answer:
ঘ: 377!
100 মি প্রশস্ত একটি নদীতে স্রোত না থাকলে তা সোজাসুজি পাড়ি দিতে একজন সাঁতারুর 4 মিনিট লাগে । কিন্তু স্রোত থাকায় নদীটি পাড়ি দিতে তার 5 মিনিট লাগল । স্রোতের বেগ কত ?
Correct Answer:
খ: 15 মি/মিনিট
ddx(ax) = ?
Correct Answer:
C: ax lna
k-এর মান কত হলে x2 – 6x-1+k(2x+1) = 0 সমীকরণটির মূল দুইটি সমান হবে ?
Correct Answer:
ক: 5 অথবা 2
মান নির্নয় কর- 459 23-1
Correct Answer:
ঘ: [14]
4x – 2y + 7 = 0 সরল রেখার অপর এমন একটি বিন্দু নির্ণয় কর যা (2,3) ও (-2,4) বিন্দু দুটি থেকে সমদূর্বর্তী ।
Correct Answer:
খ: (0,7/2)
-646 এর সম্ভাব্য মান কত ?
Correct Answer:
ক: ±2i
∫13xdx= ?
Correct Answer:
A: 23x
There are 30 pens in a drawer , 60% of them ate red and the rest are blue. what is the minimum number of pens that must be taken from the drawer without looking in order to be chosen?
Correct Answer:
A: 20
If the product of two numbers is 10 and sum of the two numbers is 7, which is the larger of the two numbers?
Correct Answer:
A: 5
Plane P take off at 2:00 am and flies at a constants speed of Xmph. Plane Q takes off at 3:30 am and flies the same forte as plane p but travels at a constant X, how many hours after 3:30 am will plane Q overtake plan P?
Correct Answer:
D: 5
The table below shows the number of students in three different clubs in Business Administration Discipline of Khulna University . Name of the Club Number of Students chess 40 Drama 30 Debate 25 Although no students is in all the tree clubs, 10 students are in Debate clubs and 6 students are in both Drama and Debate Clubs. How many different students are there in those three clubs?
Correct Answer:
A: 169 students.