1.
If 3x -1 is a factor of the polynomial 81 x³ – 45x² + 3a – 6, then a is __________.
2.
In which condition or conditions the roots of a pure quadratic equation exists?
3.
The polynomial x³ – 4x² + x – 4 on factorization gives
4.
³√5 is an irrational number as well as a surd. State true or false.
5.
In ³√5, 5 is called ……………….. . (Fill in the blanks)
6.
Cost of the 5 pens and 7 notebooks is Rs.82 and cost of 4 pens and 4 notebooks is Rs.52. Find the cost of 2 notebook and 3 pens.
7.
If 496 x 492 = x² – 4 (x>0), then x=——–
8.
A non-recurring non-terminating decimal number is always :
9.
'x' is an integer satisfying 1 ≤ 2x + 3 ≤ 7. How many values there can be?
10.
Which of the following is correct about the properties of a circle?
11.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
12.
√X is a perfect square. Which of the following is/are true?
13.
For an equation ax² + bx + c = 0, the discriminant (D) ≥ 0, then:
14.
If 2a – 3b = 1 and 5a + 2b = 50, then what is the value of a – b ?
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.
If P = 3 x³ – 5x + 9, Q = 4x³ + 5x² – 11 and R = 5x³ + 4x² – 3x + 7, then P – 2Q + R is
17.
Four non-collinear distinct points are given in a plane. How many straight lines can be drawn passing through at least two points ?
18.
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.
19.
What is the maximum number of rational numbers between two rational numbers ?
20.
After how many decimals will a fraction with denominator 320 will terminate?
