1.
ab x ba,= 72 and a or b ≠ 1. Find the possible positive values of a + b.
2.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
3.
Find each interior and exterior angle of a regular polygon having 30 sides.
4.
Which of the given options is a similar surd?
5.
If 64 > x³, then the greatest possible integer value of x is :
6.
What kind of an angle subtended by a minor arc in its alternate segment?
7.
For an equation ax² + bx + c = 0, the discriminant (D) = 0, then:
8.
The ratio between the exterior angle and the interior angle of a regular polygon is 1 : 3. Find the number of the sides of the polygon.
9.
In a right angled triangle, one of the perpendicular sides is 4 cm greater than the other and 4 cm lesser than the hypotenuse. Find the area of triangle in cm2 ?
10.
The discriminant of the equation x2 – 7x + 2 = 0 is
11.
5.63256565656 …….. is:
12.
The sum of two positive irrational numbers can be a rational number.
13.
If P = 3 x³ – 5x + 9, Q = 4x³ + 5x² – 11 and R = 5x³ + 4x² – 3x + 7, then P – 2Q + R is
14.
In a circle, there is 30 cm long chord. If the radius of the circle is 17 cm, find the distance of chord from the center.
15.
Which of the following is not correct about the properties of a circle?
16.
The sum of first ‘n’ natural numbers is 325. Find ‘n’.
17.
For a quadratic polynomial p(x) = ax² + bx + c, the product of zeroes of the polynomial is:
18.
What is the smallest positive irrational number?
19.
A 60 m high tower caste a shadow of 40 m long on the ground. What will be the length of the shadow of a needle 9 cm long at the same time?
20.
'x' is an integer satisfying 1 ≤ 2x + 3 ≤ 7. How many values there can be?
