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A wire is bent to form an equilateral triangle. If the area of the triangle is $4\sqrt{3}c{m}^2$, what is the area of the circle formed (in $c{m}^2$) by the same wire?

Which of the following will end with the digit 1?

In a quadrilateral PQRS, PQ = 4 cm, QR = 3 cm, RS = 5.9 cm, QS = 4.8 cm and PR = 5.5 cm. Find the value of PS.

Question 65

Using the frequency table, answer the following:

9 students got full marks ?
$\begin{array}{ccccccc}\text{Marks(Obtained out of 10)}& 4& 5& 7& 8& 9& 10\\ \text{Frequency}& 5& 10& 8& 6& 12& 9\end{array}$

Kusum Steel Industries Ltd. issued 21,000, $7^{\frac{1}{2}}\%$ Debenturs of Rs 100 each on March 31, 2011 redeemable at a premium of $8\%$ on 30th June, 2018. The Board of Directors decided to transfer the required amount to Debentue Redemption Reserve in three equal annual instalments starting with March 31, 2016. Record necessary journal entries regarding issue and redemption of debentures. Ignore entries relating to writing off loss on issue of debentures and interest paid thereon.

Which of the following gives the numerical expression for the statement "Twice the sum of half and twelve is added to one fourth of the sum of five and three fourths"?

Which of the following algebraic identities are correctly written?

Seen from the window of
an aeroplane, the city appears

(i) as haphazard as on
ground.

(ii) as neat as a map.

(iii) as developed as
necessary.

Mark the right answer.

Find the least square number , exactly divisible by each one of the numbers:
(i) 6,9,15 and 20 (ii) 8,12,15 and 20

A regular polygon with each exterior angle of 18^o has ______ sides.

$\begin{array}{cc}4A& \\ 4BA& \\ +AAB& \\ 1BBB& \end{array}$
A =___;

B=___

Question 6 (ii)

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out a lemon flavoured candy?

Match the following with their square roots.

$\begin{array}{cc}Numbers& Squareroots\\ 1.289& a.22\\ 2.1225& b.17\\ 3.196& c.35\\ 4.484& d.14\end{array}$

There is a coin. Ram attaches a hemispherical attachment to one flat end of the coin which has the same radius as the coin. What is the surface area of the combined solid?

The following is the distribution of weghts (in kg) of 52 persons:

$\begin{array}{cc}\text{Weight in kg}& \text{Persons}\\ 40-50& 10\\ 50-60& 15\\ 60-70& 17\\ 70-80& 6\\ 80-90& 4\end{array}$

(i) What is the lower limit of class 50-60?

(ii) Find the class marks of the classes 40-50,50-60.

(iii) What is the class size?

If $n\left(U\right)=700,n\left(A\right)=200,n\left(B\right)=300$ and $n(A\cap B)=100,$ then $n(A^{\prime }\cap B^{\prime })$ = ____.

(f × 100) + (d × 10) + e is written as

1. 170

$(0.7{)}^2-(0.3{)}^2$

Question 52

When the number of observations is large, the observations are usually organised in groups of equal width called ___,

12 cows can graze a field in 32 days. How long would 3 cows take to graze the same field?

200% of 12 is:

1. 225

Factorise :

$a^{3}b-a^2{b}^2-b^3$

$7x34\text{divisible by 9 ?}$

In quadrilateral ABCD

$\angle A:\angle B:\angle C:\angle D=3:4:5:6$

then quadrilateral ABCD is a

Which of the following conditions determine the rhombus PQRS uniquely?

Compare the two ratios $\frac{7}{12}$ and $\frac{9}{16}$.

Pavan has a piece of wire and he wants to make some geometrical figures with it. Which of the following geometrical figures can he make with the minimum length of wire?

The area of two triangles are in the ratio 8 : 12. If the ratio between bases is also the same and the area of smaller triangle is 20 less than area of bigger triangle,

Find the area of the bigger triangle in square cm.

List out the differences between square and rhombus.