2.
In logarithms, which of the given options is true?
3.
In a quadratic equation ax² + bx + c = 0, b² − 4ac < 0, then:
4.
In a polygon, the greater angle is 110° and all the angles are distinct but equal in degrees. Find the maximum number of sides it can have.
5.
A non-recurring non-terminating decimal number is always :
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.
The area of a triangle is 108 cm². If the base is 13.5 cm, then find its corresponding height.
8.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
9.
If P = 3 x³ – 5x + 9, Q = 4x³ + 5x² – 11 and R = 5x³ + 4x² – 3x + 7, then P – 2Q + R is
10.
A system of two linear equations having same two variables but having no solution is known as inconsistent system of linear equation.
11.
If 64 > x³, then the greatest possible integer value of x is :
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.
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?
14.
Which of the following is correct about the properties of a circle?
15.
'x' is an integer satisfying 1 ≤ 2x + 3 ≤ 7. How many values there can be?
16.
If 2a – 3b = 1 and 5a + 2b = 50, then what is the value of a – b ?
17.
If 3x -1 is a factor of the polynomial 81 x³ – 45x² + 3a – 6, then a is __________.
18.
Which of the following is different from a line ?
19.
A circular wheel of radius 7 cm rotates inside another bigger wheel and cover the full circumference in 10 rotations. Find the diameter of bigger wheel?
20.
A wire in the form of a circle of radius 35 cm is bent in the form of a rectangle having sides in the ratio of 6:5. What is the area of the rectangle?