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The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014.

i) What is the ratio of the total sales of branch NP3 for both years to the total sales of branch NP5 for both years?

ii) Total sales of branch NP6 for both the years is what percent of the total sales of branches NP2 for both the years?

If (x+2) and (x-1) are factors of $(x^3+10x^2+mx+n)$ then
(a) m=5, n=-3 (b) m=7, n=-18
(c) m=17, n=-8 (d) m=23, n =-19

Two consecutive angles of parallelogram are in the ratio 1 : 3, then the measure of the smaller angle is:

If $\mu$ is the mean of a distribution, then $\sum f_i(y_i-\mu )$ is equal to

Select the appropriate option for the blanks.
The man ____ staring ____ space, idly tapping ____ spoon ____ the table.

ABCD is a parallelogram, EBCF is a rectangle and BCG is a triangle between the same parallel lines. The ratio of area of parallelogram : area of rectangle : area of triangle is

Sum of opposite angles of an isosceles trapezium is

Question 31

Fill in the blank to make the statement true.

The common part between the two angles BAC and DAB in the given figure is ______.

If 2x cube + ax squared + bx - 2 leaves the remainder 7 and - 20 when divided by 2x - 3 and x + 3 respectively. Find the value of a and b

Identify the points which lie on the line $3x+4y=7.$

The dimensions of a rectangle ABCD are $51cm\times 25cm$. A trapezium with its parallel sides QC and PD in the ratio 9:8, is cut of from the rectangle as shown in figure. If the area of the trapezium PQCD is $\frac{5}{6}$ the area of the rectangle, find the lengths QC and PD.

1. 8

Let $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ be three vectors such that $\overrightarrow{a}\ne 0$ and $|\overrightarrow{a}\mid =\mid \overrightarrow{c}\mid =1,\mid b\mid =4$ and $|\overrightarrow{b}\times \overrightarrow{c}\mid =\sqrt{15}$ ​, if $\overrightarrow{b}-2\overrightarrow{c}=\lambda \overrightarrow{a}$, then $\lambda$ equals to

If the determinant $\left|\begin{array}{ccc}1+{\sin }^2\theta & {\sin }^2\theta & {\sin }^2\theta \\ {\cos }^2\theta & 1+{\cos }^2\theta & {\cos }^2\theta \\ 4\sin 4\theta & 4\sin 4\theta & 1+4\sin 4\theta \end{array}\right|=0$,

then $\sin 4\theta$ equals to

$(\text{where}\theta \in [0,2\pi \left]\right)$

Four points A, B, C, D are given on circle. Line segment AB and CD are parallel. Find the distance between AB and CD.

Question 77 (i)

From the following table determine if x and y are in direct proportion or not

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

When a single dice is rolled, what is the probability of getting a prime number?

The probability of getting a number less than 5 in a single throw of dice is

In a cricket match, a batsman hit a boundary 6 times (out of 30 balls). Find the probability that next ball he plays is not a boundary.

Two ladders are leaning against a wall in such a way that they both make the same angle with the ground. If the ladder measuring 20 feet reaches 15 ft up the wall, how much further up the wall does the ladder measuring 30 feet reach?

D is a real number which noon terminating digits a1 and a2 after the decimal point. Let D= 0.a1 a2 a1 a2........with a1 and a2 both not zero which of the following when mutiplied by D will necessarily give an integer?

Options:

18

198

125

75

Find whether the following statements are true or false :

(i) Every real number is either rational or irrational.

(ii) $\pi$ is an irrational number.

(iii) Irrational numbers cannot be represented by points on the number line.

Question 1 (iv)

Without actually performing the long division, state whether $\frac{15}{1600}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

A point is chosen in the given diagram .What is the probability that it is in the shaded area of the part of the circle? (Given that the diameter of the circle is equal to the measure of side of the square.)

The given figure shows a rectangle ABCD, where BC = 4 cm. Diagonals AC and BD intersect at point O. AO = 2.5 cm.

What is the perimeter of rectangle ABCD?

Is it necessary to have a 90° angle in rhs congruence rule or by having equal hypotenuse and equal side we can apply RHS congruence rule?

The median of following numbers $2,10,9,9,5,2,3,7,11$ is ......

Question 5 (i)
Find
7 $÷$ 3.5