1.
A, B, C and D are concyclic. AC bisects BD. If the AB = 9 cm, BC = 8 cm and CD = 6 cm, the find the measure of AD.
2.
Total surface area of hemisphere is :
3.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
4.
In a quadrilateral, all angles are less than 180° and two of its diagonals lie completely inside the quadrilateral. The quadrilateral is known as:
5.
For what value of K is 16x² + 24xy + K a perfect square?
6.
The discriminant of the equation x2 – 7x + 2 = 0 is
7.
x144 – y144 is always divisible by
8.
5.63256565656 …….. is:
9.
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.
10.
ab = ba but b ≠ a, then find a + b.
11.
Which of the following is/are true?
12.
A circle is inscribed in a square of side 14 m. Find the ratio of the circumference of the circle and perimeter of the square.
13.
Which of the following is true for every rational number?
14.
Shiva's age is three times that of Ram. After 10 years Shiva's age will be three years more than twice the age of Ram. What is present age of Shiva?
15.
Find the ratio of the circumference of the circle and the length of the arc of the sector of a circle having angle 72º.
16.
For an equation ax² + bx + c = 0, the discriminant (D) ≥ 0, then:
17.
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?
18.
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.
19.
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.
20.
What is the maximum number of rational numbers between two rational numbers ?
