Explore topic-wise InterviewSolutions in .

Question 76

In a floral design made from tiles each of dimensions 40cm by60 cm (See figure), find the ratios of

a) The perimeter of the shaded portion to the perimeter of the whole design.

b) The area of the shaded portion to the area of the unshaded portion.

Which of the following statements demonstrates the identity property of multiplication?

The price of a TV is $Rs.13000$. The sales tax charged on it is at the rate of $12\%$. Find the amount that Vinod will have to pay if he buys it.

Question 1

Find the values of the letters in the following and give reasons for the steps involved.

$3A\underset{–}{+25}\underset{–}{B2}$

$Ifx-\frac{1}{x}=3,\text{find the values of}{x}^2+\frac{1}{x^2}and{x}^4+\frac{1}{x^4}.$

(i) Which city has the largest difference in the minimum and maximum temperature?

(ii) Which is the hottest city and which is the coldest city?

(iii) Name two cities where maximum temperature of one was less than the minimum temperature of the other.

(iv) Name the city which has the least difference between its minimum and the maximum temperature.

Use the short cut method to find $(97{)}^2$.

Solve the following equations and verify your answer :

$\frac{6}{2x-(3-4x)}=\frac{2}{3}$

Difference of 2 consecutive square numbers is always _____.

How many diagonals are there in a polygon of 16 sides.

A solid rectangular piece of iron measures $1.05in\times 70cm\times 1.5cm$. Find the weight of this piece in kilograms if $1c{m}^3$ of iron weighs 8 grams.

George bought a VCR at the list price of $Rs.18,500.$ If the rate of VAT was $8\%$ then the amount he had to pay for purchasing the VCR is

Decacarbonyldimanganese is made of two:

Match the values with the corresponding laws of exponents.

Given below is a bar graph showing the heights of the five mountain peaks.

Read the bar graph carefully and answer the following questions.

(i) Which is the highest peak and what is its height ?

(ii) What is the ratio of the heights of the highest peak and the next highest peak ?

(iii) Arrange the heights of the given peaks in descening order.

Transactions of M/s Vipin Traders are given below. Show the effects on Assets, Liabilities and Capital with the help of accounting equation.

$\begin{array}{cc}& \\ & \left(Rs\right)\\ \text{(a)Business started with cash}& 1,25,000\\ \text{(b) Purchased goods for cash}& 50,000\\ \text{(c) Purchase furniture from RK furniture}& 10,000\\ \text{(d) Solid goods to Parul Traders (costing Rs 7,000 vide bill no 5674)}& 9,000\\ \text{(e) Paid cartage}& 100\\ \text{(f) Cash paid to RK furniture in full settlement}& 9,700\\ \text{(g) Cash sales(costing Rs 10,000)}& 12,000\\ \text{(h) Rent received}& 4,000\\ \text{(i)Cash withdraw for personal use}& 3,000\end{array}$

Find 7 rational numbers between $\frac{1}{3}$ and $\frac{1}{2}$.

The water in a cubical tank of side 10m is transferred to completely fill a cuboidal tank of length 5m and breadth 10 and height h. Then the height of the cuboidal tank (in metres) is ___

Find the perimeter of the minor segment $ACB$ shown below.

A metal pipe is $77cm$ long the inner diameter of a cross-section is $4cm$ and the outer diameter is $4.8cm.$ find it's

Simplify the following:

$(-\frac{8}{25})\times \frac{5}{16}$

On dividing $x(3x^2-27)$ by $3(x-3),$ we get .

Which of the following polygon has NO diagonals in it?

Question 96

A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given below. Find the width of the pool.

Question 120

A rectangular field is 48 m long and 12 m wide. How many right triangular flower beds can be laid in this field, if sides including the right angle measure 2 m and 4m, respectively?

Four alternative options are given for each of the following statements.

Select the correct option.

The number whose 8% is 12 is:

A. 120

B. 150

C. 130

D. 140