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Find the area of the field shown in the figure by dividing it into a square rectangle and a trapezium.

$\text{The sum of three rational numbers is}\frac{-1}{5}.\text{If two numbers are}\frac{-2}{5}\text{and}\frac{3}{10},\text{then find}\text{the third number.}$

All three angles of a triangle always add upto .

Which is the correct representation of point A?

What is the frequency for class mark 42.5 ?

Simplify: $(x-y)(x+y)(x^2+y^2)(x^4+y^4)$

Let $a$ be a non-zero number. Select the pairs which on division would give $a^2$ as the answer.

कहानी में से चुनकर कुछ संवाद नीचे दिए गए हैं। उन संवादों को अभिनय के साथ बोलकर दिखाओ।

(क) चित्रकार महोदय हाथ में कूची पकड़े-आँखें नचा-नचाकर, मटक-मटककर बोल रहे थे, "अरे चमगादड़, तुझे क्या खाक शायरी करना आता है। ज़बरदस्ती ही तुझे यह पार्ट दे दिया। तूने सारा गड़बड़ कर दिया।"

(ख) मोहन बोला, "मेरा तो दिल बहुत ज़ोरों से धड़क रहा है।"

(ग) राकेश पहुँचते ही एक कुर्सी पर बैठते हुए बोला, "बोला, "आज मुझे अस्पताल में हाथ पर पट्टी बँधवाने में देर हो गई, तो तुमने इस तरह 'रिहर्सल' की है। ज़ोर-ज़ोर से लड़ने लगे।"

(घ) चित्रकार महोदय ने हाथ उठाकर कहा, "देख, मुँह सँभालकर बोल।"

The population of the city was $20000$ in the year $1997$ it increases at the rate of $5\%$ per annum find the population at the end of the Year $2000.$

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

There are 2 cubes A and B each of volume X $c{m}^3$. Cube B is cut into smaller cubes each of volume Y $c{m}^3$. The surface area and volumes of the resulting cubes are compared.

S1: The ratio of volumes of A and B = 1:1

S2 : The ratio of surface areas of A and B = 1:1

Find the least number which must be added to 7348 to obtain a perfect square. Find the perfect square number and it's square root.

What is the value 9.4 - 2.6?

If $x=5$ satisfies the equation $2x-3=a$, then value of a is ___.

Without formal addition, find the sum of $1+3+5+7+9+11+13+15.$

In a trapezium ABCD with AB || CD, it is given that AD is not parallel to BC. Is ΔABC ≅ ΔADC? Give reasons.

1. 130

$Ifa=c,\text{show that}cba-abc=0.$

If U is universal set, then which of the following is not true ?

Two angles are in the ratio 4: 7. On increasing the smaller angle by 10${}^{\circ }$ and decreasing the larger angle by 20${}^{\circ }$ the ratio of the angles becomes 1:1. What are the original angles respectively?

Sophia was counting the number of crystals in 5kg of sugar. Can you help her to find the number of crystals in 5kg without actual counting, if 12kg of sugar contains $24\times {10}^2$ crystals?

Question 84

State whether the following statement is true or false:

$\sqrt[3]{38+27}=\sqrt[3]{38}+\sqrt[3]{327}$

1. 15

A page from a pass book of saving bank account is given below:

The account is closed on 2nd January 2000. Find the amount received if the rate of interest is 5%.

Question 120

A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.

The area of a rectangle with dimensions $8cm\times 4cm$ is $32c{m}^2$. If the value of the scale factor is $4$, calculate the area of the larger rectangle formed by multiplying the scale factor.

In the adjoining figure, if $\angle QPR={60}^{\circ }$ and $\angle SPR={70}^{\circ }$, then $\angle QRS$= ___.

By using the formula, find the amount and compound interest on:

Abhay borrowed Rs 16000 at $7\frac{1}{2}\%$ per annum simple interest. On the same day. he lent it to Gurmeet at the same rate but compounded annually. What does he gain at the end of 2 years ?

The adjacent figure shows 3 different views of a three – dimensional figure made from cubes. Identify the three – dimensional figure

Question 83
State whether the statement is True or False.
A prism has four bases.