1.
In logarithms, which of the given options is true?
2.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
3.
For a quadratic polynomial p(x) = ax² + bx + c, the sum of zeroes of the polynomial is:
4.
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.
5.
The maximum value of 23 – |2x + 3 | is
6.
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.
7.
ab x ba,= 72 and a or b ≠ 1. Find the possible positive values of a + b.
8.
For an equation ax² + bx + c = 0, the discriminant (D) ≥ 0, then:
9.
Which of the following is not correct about the properties of a circle?
10.
The product of two irrational numbers can be a rational number.
11.
In ³√5, 5 is called ……………….. . (Fill in the blanks)
12.
Which of the given options needs a proof to believe ?
13.
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?
14.
In logarithms, which of the given options is true?
15.
If 2a – 3b = 1 and 5a + 2b = 50, then what is the value of a – b ?
16.
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?
17.
In a quadratic equation ax² + bx + c = 0, b² − 4ac > 0 and not a perfect square.
18.
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°.
19.
In a quadratic equation ax² + bx + c = 0, b² − 4ac < 0, then:
20.
The sum of first ‘n’ natural numbers is 325. Find ‘n’.
