1.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
2.
Find the minimum value of | x – 3 | − 11
3.
If a² – b² = 36 and a + b =4, then (a – b)² =———-
4.
'x' is an integer satisfying 1 ≤ 2x + 3 ≤ 7. How many values there can be?
5.
The quotient of two irrational numbers can be a rational number.
6.
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.
7.
Which of the following is correct about the properties of a circle?
8.
In which condition or conditions the roots of a pure quadratic equation exists?
9.
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?
10.
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 ?
11.
If x° is the measure of an angle which is equal to its complement and y° is the measure of an angle which is equal to its supplement. Find the x° + y°.
12.
Can a regular polygon have an exterior angle equal to 50°? Why or why not?
13.
Total surface area of hemisphere is :
14.
What should be subtracted from x³ + 2x² -3x +6, so that the difference is a multiple of x − 2 ?
15.
A non-recurring non-terminating decimal number is always :
16.
The area of a triangle is 108 cm². If the base is 13.5 cm, then find its corresponding height.
17.
If P = 3 x³ – 5x + 9, Q = 4x³ + 5x² – 11 and R = 5x³ + 4x² – 3x + 7, then P – 2Q + R is
18.
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.
19.
For an equation ax² + bx + c = 0, the discriminant (D) = 0, then:
20.
Fill in the blanks: Compound interest for nth year is equal to the simple interest on the amount of …………the year?
