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In the figure shown, ABCD is a parallelogram. Pick the correct option

The number of proper subsets of the set A = {1, 2, 3} is ___.

What is the probability that a leap year selected at random will contain either 53 thursdays or 53 Friday's?

The sides of a triangle are 11 m, 60 m and 61m. Altitude to the smallest side is

A samsung tablet is to be sent as a gift to a person. The shopkeeper has to wrap the tablet which is in a box of dimensions 20 cm $\times$ 10 cm $\times$ 5 cm. How much paper would be required to wrap it? (assuming negligible thickness)

Find the missing frequencies in the following distribution , if the sum of the frequencies is $120$ and the mean is $50$.

$\begin{array}{cccccc}\text{Class}& 0-20& 20-40& 40-60& 60-80& 80-100\\ \text{Frequency}& 17& f_1& 32& f_2& 19\end{array}$

In $△NVY$, if $NV=VY$ and $VY\ne YN$, then which of the following is true?

If both (x - 2) and $(x-\frac{1}{2})$ are factors of $p{x}^2+5x+r$, prove that p = r.

If $lo{g}_4$ 5 = a and $lo{g}_5$ 6 = b, then $lo{g}_3$ 2 is equal to

Which is an example of the commutative property of addition?

Question 24

Fill in the blanks to make the statement true.

In the figure,


the number of faces meeting at B is ___.

Which of the following should be the SECOND sentence after rearrangement?

Follow the following steps of constructions:

1) Draw a line segment OA.

2) With O as center and a short radius, draw an arc that cuts OA at B.

3) With B as center and the same radius (as in step 2), draw an arc that cuts the first arc at C.

4) With C as center and the same radius (as in step 2), draw an arc that cuts the first arc at D.

5) With C and D as centers, draw two arcs with equal radii such that they intersect at E.

6) Join O and E. What’s the measure of $\angle AOE$ ?

The factors of the polynomial equation P(x) = $4x^3+x^2+5x+8$ are ?

The parallel sides of a trapezium are 25 cm and 11 cm. The perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.

Either in groups or individually, make a power- point presentation on either of the two games. Incorporate points from the table above and any other interesting information/detail.

Two triangles have an equal area of $24c{m}^2$ and stand on the same base of 6 cm. If the distance PQ (on base) between their altitudes is equal to thrice the length of one of the altitude. Then the area of the quadrilateral formed by the altitudes and the base PQ is equal to:

Question 26

The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 sq cm. The volume of the solid (in cubic cm) is

a) 192

b) 384

c) 480

d) 2592

Consider a seating plan of students in an auditorium. Push all the seats together and represent each seat with a square. Each square describe the position of each student with two independent information

a) The row in which he/she sits.

b) The column in which he/she sits.

Now if the student 'A' is sitting in the third row and the fifth column, find the position of his friend sitting two columns away(to A's right-hand side).

If two dice are thrown simultaneously, then the probability that the product of the outcomes on both the dice is a multiple of 3 is

Using the information given in the figure, the values of x and y are ________.

UsUsi remainder theorem show that a+b, b+c, c+a are factors of (a+b+c)3-(a3+b3+c3)

Question 2

In the following question out of the four options only one is correct, write the correct answer:

(a) $x=\frac{a}{b}$

(b) $x=-b$

(c) $x=\frac{-b}{a}$

(d) $x=\frac{b}{a}$

The solution of the equation ax+b=0 is:

A man does $200\text{J}$ of work in $10$ seconds and a boy does $100\text{J}$ of work in $4$ seconds.

Find the ratio of the power delivered by the man to that of power delivered by the boy.