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Write the quotient when the sum of 73 and 37 is divided by

(i) 11 (ii) 10

5/7 times___ = 1

The sides of a triangle are in the ratio 5:7:8. If the perimetre of the triangle is 100 cm, find the lenght of the sides of the triangle.

There is a rectangular park whose length is 20 m and width is 10 m. What is the length of fence surrounding it?

$\Delta ABC$ is congruent to $\Delta RQP$, that is $\Delta ABC\cong \Delta RQP$. If $\angle C$ and $\angle P$ are the smallest angles in $\Delta ABC$ and $\Delta RQP$, then which of the following is not true?

Question 3(vii)
Simplify:
(a+b+c)(a+b-c)

In the triangle ACB Line AP divides the two triangles APB and ACP.

If Area of $\Delta$ APB = $24c{m}^2$ and Area $\Delta$ APB : Area of $\Delta$ APC = 4 : 7, find the area of $\Delta$ APC

A, B, C, ......... Z represent the numbers from 1, 2, 3,...... 26. There is an encryption technique which uses a key. Key can be any number less than 26 and greater than 0. For a message ABCD, if key is 1, encrypted message becomes BCDE. Similarly, if the key is 5, and message is XYZA, the encrypted message becomes CDEF. If you get an encrypted message from a friend as 'FCJN'. This was encrypted using key = 24. The original message is ___ .

PQ is a line parallel to side BC and passing through vertex A of a triangle ABC. If BE || AC and CF || AB meet PQ at E and F respectively. If the base and altitude of ΔABC are 6 cm and 8 cm respectively, the area of ΔACF is ___

Question 1(iii)
Identify the terms, their coefficients for the following expression:
$4x^2{y}^2-4x^2{y}^2{z}^2+z^2$

If a = 0.1039, then what is the value of $3a-\sqrt{4a^2-4a+1}$?

Question 180(iv)

Simplify

${\left(\frac{1}{5}\right)}^{45}\times {\left(\frac{1}{5}\right)}^{-60}-{\left(\frac{1}{5}\right)}^{28}\times {\left(\frac{1}{5}\right)}^{-43}$

x+7-8x/3=17/6_5x/2

(3x² + 8x + 6 )ⁿ - (2 + x )ⁿ is divisible by

Question 102

Solve the following question:

By what smallest number should 3600 be multiplied so that the quotient is a perfect cube. Also, find the cube root of the quotient.

Which of the equation represents the pair of perpendicular straight lines

Find three numbers which are in the ratio 2:3:5 and the sum of whose squares is 608

Which of the following is/are not linear equation(s)?

Divide $x^3+7x^2+12x$ by $x^2+3x$.

If $3^x$ = $\frac{1}{81}$ ,the value of x is

Question 83

Arunima bought household items whose marked price and discount is as follows

$\begin{array}{cccc}\text{Item}& \text{Quantity}& \text{Rate(in Rs)}& \text{Discount}\%\\ \text{(i)Atta}& \text{1 packet}& 200& 16\%\\ \text{(ii)Detergent}& \text{1 packet}& 371& 22.10\%\\ \text{(iii)Namkeen}& \text{1 packet}& 153& 18.30\%\end{array}$

Find the total amount of the bill she has to pay.

The angle between x-axis and y-axis in a cartesian plane is:

Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 meters per second into a cylindrical tank, the radius of whose base is 60 cm. Find the rise in the level of water in 30 minutes.

In the following figure, if BO = 10 cm, then the length of the diagonal BD is

When two lines are intersected by a transversal, what are conditions for these lines to be parallel?

How long will it take a certain sum of money to triple itself at 40/3%per annum simple Interest ?

If A = B + C, such that A = $a^2$, B = $b^2$, and C = $c^2$, then what do a, b, and c form?

Find the simple interest on ₹ 1300 from December 23, 2002, to May 18, 2003, at an interest rate of $7\frac{1}{2}\%.$ per annum.

Fill in the blank:

$$\begin{array}{ccccc}Price& 100& 75& 50& 25\\ Number& 60& 80& & 240\end{array}$$
Answer = ___

Harkeerat tosses 2 different coins simultaneously. Find the probability that she gets at least one head.

Evaluate

(i) 3⁻² (ii) (−4)⁻²
(iii)

1. 20