1.
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?
2.
x144 – y144 is always divisible by
3.
The sum of two positive irrational numbers can be a rational number.
4.
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?
5.
If P = 3 x³ – 5x + 9, Q = 4x³ + 5x² – 11 and R = 5x³ + 4x² – 3x + 7, then P – 2Q + R is
6.
If 64 > x³, then the greatest possible integer value of x is :
7.
If 3x -1 is a factor of the polynomial 81 x³ – 45x² + 3a – 6, then a is __________.
8.
Which of the following is/are true?
9.
Which of the following is/are true?
10.
After how many decimals will a fraction with denominator 320 will terminate?
11.
What are common measures of central tendency?
12.
For a quadratic polynomial p(x) = ax² + bx + c, the sum of zeroes of the polynomial is:
13.
Total surface area of hemisphere is :
14.
The maximum value of 23 – |2x + 3 | is
15.
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.
16.
The area of a triangle is 108 cm². If the base is 13.5 cm, then find its corresponding height.
17.
5.63256565656 …….. is:
18.
If one of the roots of an equation x2 – 2x + c = 0 is thrice the other, then find 'c'.
19.
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°.
20.
Find each interior and exterior angle of a regular polygon having 30 sides.
