1.
If 2a – 3b = 1 and 5a + 2b = 50, then what is the value of a – b ?
2.
For an equation ax² + bx + c = 0, the discriminant (D) ≥ 0, then:
3.
If 64 > x³, then the greatest possible integer value of x is :
4.
If the roots of 3×2 – 12x + k = 0 are complex, then find the range of k.
5.
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 ?
6.
Which of the following is not correct about the properties of a circle?
7.
Which of the following is different from a line ?
8.
The product of two irrational numbers can be a rational number.
9.
The quotient of two irrational numbers can be a rational number.
10.
In a cyclic quadrilateral PQRS, PS = PQ, RS = RQ and ∠PSQ = 2∠QSR, then find ∠QSR.
11.
Which of the following is/are true?
12.
For an equation ax² + bx + c = 0, the discriminant (D) = 0, then:
13.
In a quadrilateral, all angles are less than 180° and two of its diagonals lie completely inside the quadrilateral. The quadrilateral is known as:
14.
Y is an integer satisfying -3 ≤ 4Y – 7 ≤ 5. How many such values are possible?
15.
√X is a perfect square. Which of the following is/are true?
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.
If a² – b² = 36 and a + b =4, then (a – b)² =———-
18.
What is the maximum number of rational numbers between two rational numbers ?
19.
In logarithms, which of the given options is true?
20.
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.
