A letter symbol that means an element of a set is called—
- aconstant
- bvariable
- ccoefficient
- dexponent
170 questions · 20 sections
A letter symbol that means an element of a set is called—
By convention, which letters are usually taken as variables?
By convention, which letters are usually taken as constants?
In the equation with no further direction, is treated as—
In the equation , while solving for the symbol is treated as—
If we want to determine the value of from , then is treated as—
In the set , the symbol is—
In , what kind of equation is it?
Which of the following is NOT a linear equation in one variable?
The degree of an equation is—
The degree of is—
The degree of is—
The degree of is—
The degree of is—
An equation of degree 2 is called—
The number of roots of an equation equals—
The roots of are—
The equation has roots—
The roots of an equation always satisfy—
If two roots of a quadratic are equal, then—
How many real roots does have?
In an equation, the polynomials on the two sides—
In an identity, the polynomials on the two sides—
The equality is—
Which statement is correct?
An identity is satisfied by—
The proper sign used for an identity is—
is—
is an example of—
The equation is satisfied by—
Which of the following is an identity?
If the same number is added to both sides of an equation, the two sides—
If both sides of an equation are multiplied by the same nonzero number, the two sides—
If , then by transposition—
If , then by transposition equals—
The equation with has the solution—
To clear fractions in we may multiply both sides by—
Which operation is NOT a valid step while solving an equation?
Solve :
Solve :
Solve :
Solution set of the equation in question 41 is—
Solve :
Why does the equation in question 43 reduce to setting only the numerator to zero?
If , then equals—
Solve :
Solve :
Solve :
Solution set of is—
Solution set of is—
To solve a real-life problem by an equation, we first—
A two-digit number with tens digit and units digit equals—
If the digits of a two-digit number are interchanged, the new number with original tens digit and units digit is—
If a class has students and students sit on each bench leaving benches empty, the number of benches is—
If students sit on each bench and students remain standing in a class of students, the number of benches is—
Profit on Tk. in year at per annum (simple) is—
If profit on Tk. at in one year is , then equals—
The units digit of a two-digit number is more than the tens digit. If the digits are interchanged, the new number is less by than twice the original. The original number is—
In the previous question, with tens digit , the original number is—
If students sit per bench, benches stay empty; if students sit per bench, students remain standing. Total number of students is—
Mr. Kabir invested some part of Tk. at profit and the rest at . Total profit after one year is Tk. . Money invested at is—
In the previous question, money invested at is—
If a number plus its square equals nine times the next natural number, the number is—
In a circle of radius cm, a chord is drawn so that the perpendicular from the centre to the chord is cm shorter than the half-chord. The length of the chord is—
If coins of Tk. and Tk. together amount to Tk. , the number of Tk. coins is—
If a number is added to both numerator and denominator of , the fraction becomes . Then equals—
The difference of the squares of two consecutive natural numbers is . The smaller number is—
Solve :
The equation becomes after simplification—
Solve :
Sum of two numbers is and one is of the other. The numbers are—
A proper fraction has numerator less than denominator. Subtracting from numerator and adding to denominator gives . The fraction is—
Sum of digits of a two-digit number is ; the number got by interchanging digits is less by than the original. The number is—
The tens digit of a two-digit number is twice its units digit. If sum of digits is , the number is—
A merchant invested Tk. , getting on part and on the rest. Total profit is Tk. . Money at is—
In a girls' school, students per bench leaves empty; per bench leaves standing. Number of benches is—
Number of students in question 76 is—
A launch carries passengers. Cabin fare is twice the deck fare; deck fare is Tk. . Total collection is Tk. . Number of cabin passengers is—
coins of paisa and paisa together total Tk. . Number of -paisa coins is—
In question 79, number of -paisa coins is—
A car covers part of km at km/h and the rest at km/h, total time hours. Distance at km/h is—
Distance Dhaka NM–Gabtoli is km. Sajal goes by rickshaw at km/h, rests min at Gabtoli, returns at the same speed. Kajal walks at km/h from NM. They meet at distance from NM—
A steamer carries passengers. Cabin fare is thrice deck fare; deck fare is Tk. . Total fare is Tk. . Number of deck passengers is—
In question 83, cabin passengers number—
In question 83, fare per cabin passenger is Tk.—
Equations of the form , are called—
The general form of a quadratic equation in one variable requires—
The highest degree of the variable in a quadratic equation is—
The equation comes from a rectangle of area sq. cm. with breadth cm and length—
Number of roots of a quadratic equation is—
If a product of two real quantities is zero, then—
From we get—
The principle " or " is used in the method of—
Solve :
Solution set of is—
Solution set of is—
From , with , the values of are—
In question 100, the corresponding values of are—
Comparing with , we get—
The degree of as a polynomial is—
Equation has roots—
The denominator of a proper fraction is more than its numerator. When the fraction is squared, the new denominator exceeds the new numerator by . The fraction is—
With numerator in question 105, equation reduces (after simplification) to—
A rectangular garden m by m has a path of equal width inside its boundary. If the area excluding the path is sq. m, the width of the path is—
Why is rejected in question 107?
Shahik bought some pens for Tk. . With one more pen for the same money the price per pen would be Tk. less. Number of pens bought is—
In question 109, the equation in (number of pens) is—
Why is rejected in question 109?
In an exam, total marks of students in mathematics is . With one new student scoring added, the average drops by . The equation derived is—
Solving the equation in question 112 gives —
Average marks of the original students in question 112 is—
After adding the new student in question 112, the new average is—
Sum of two digits of a two-digit number is and their product is . The digits are—
The two-digit number(s) in question 128 can be—
Floor area of a rectangular room is sq. m. If length decreases by m and breadth increases by m, area is unchanged. Length and breadth are—
The hypotenuse of a right triangle is cm; the difference of the other two sides is cm. The two sides are—
The base of a triangle is cm more than twice its height. Area is sq. cm. The height is—
In question 132, the base is—
As many students in a class, each contributes equal to the number of class-mates. Total Tk. collected. Number of students is—
In question 134, each student contributed—
Each of students contributes paisa more than the number of students. Total Tk. . Then —
A two-digit number has digit sum . Reversing the digits gives a number more than the original. Original number is—
In question 137, with units digit and tens digit , the relation between digits is—
Mr. Karim invested part of Tk. at and rest at for years; total interest Tk. . Money at is—
In question 139, the ratio of principal at to that at is—
When Nabil's age was the same as Shuva's present age, Nabil was twice Shuva's age. When Shuva will be Nabil's present age, sum of ages will be . Present age of Nabil is—
In question 141, present age of Shuva is—
In a queue, the number of passengers in front of Sohag is more than those behind him. Total queue length is thrice the number behind. Total passengers in queue is—
How many roots does have?
If two algebraic expressions and satisfy , then—
A two-digit number has tens digit twice the units digit. With units digit , the number is—
In question 146, the number obtained by interchanging the digits is—
From the sample creative problem solving leads to—
From the sample question, area sq. m with length , breadth unchanged: dimensions are—
Perimeter of the land in question 149 is—
A circle of diameter has a chord such that the perpendicular from centre is less than the chord-length. Length of the chord is—
Solving gives a quadratic whose product of roots equals—
A positive integer is more than of another positive integer. If both are equal—
If sum of digits of a two-digit number is and product is , the number is—
The transposition rule "" applies because—
A linear equation with has exactly—
The equation is—
The equation —
If a quadratic equation has two distinct real roots, its discriminant is—
The product of the roots of equals—
The sum of the roots of equals—
An equation in which the variable appears in a denominator becomes a polynomial equation after—
Equations of the form with equal numerators () and unequal denominators () hold only when—
A real-life problem leading to a quadratic with one negative root and one positive root: the negative root is rejected because—
If the discriminant of a quadratic is zero, the roots are—
The equation has—
The substitution method for uses—
After cross-multiplication in (Shahik's pens), the resulting equation in is—
The factorisation is verified by—
The solution of a real-life equation should always be checked against—