1.
The sum of two positive irrational numbers can be a rational number.
2.
If 2a – 3b = 1 and 5a + 2b = 50, then what is the value of a – b ?
3.
If the numerically smaller root of x2 + mx = 2 is 3 more than the other one, find the value of m.
4.
A uniform path is laid around and outside of a square field is 64 m² it. If the area of the path is 17 m², find the width of the path.
5.
Which of the following is/are true?
6.
Two cubes are with edge 'n' cm are joined together to form a cuboid. Find the ratio of the surface area of two cubes to the surface area of the cuboid.
7.
2a = 4b = 8c = 64. Find a² + b² + c².
8.
A regular cyclic polygon has each interior angle measuring 144º. Find the angle subtended by each of its side at the geometrical center of the polygon?
9.
For an equation ax² + bx + c = 0, the discriminant (D) ≥ 0, then:
10.
The quotient of two irrational numbers can be a rational number.
11.
A circular wheel of radius 7 cm rotates inside another bigger wheel and cover the full circumference in 10 rotations. Find the diameter of bigger wheel?
12.
Given that a + b + c = 0, find: √( xa . xb . xc )
14.
Find each interior and exterior angle of a regular polygon having 30 sides.
15.
The polynomial x³ – 4x² + x – 4 on factorization gives
16.
In logarithms, which of the given options is true?
17.
A system of two linear equations having same two variables but having no solution is known as inconsistent system of linear equation.
18.
³√5 is an irrational number as well as a surd. State true or false.
19.
Which of the given options is a similar surd?
20.
In case of discounted sale, the sales tax is calculated on the printed price. Is it true or false?
