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The present population of a town is 24000. If it increases at the rate of $5\%$ per annum, what will be its population after 2 years?

(a) 26400 (b) 26460 (c) 24460 (c) 26640

The numerator of a rational number is 3 less than the denominator. If the denominator is increased by 5 and the numerator by 2, we get the rational number $\frac{1}{2}.$ Find the rational number.

$x^4+x^2+1by{x}^2+x+1$

For a non-zero rational number a,$(a^3{)}^{-2}$ is equal to

What is the value of ${25}^5\times 4^5$?

$(82{)}^2-(18{)}^2=?$
(a) $8218$
(b) $6418$
(c) $6400$
(d) $7204$

Question 96

Shoes of the following brands are sold in November 2007 at a shoe store. Construct a pie chart for the given data.
$\begin{array}{cc}Brand& Numberofpairsofshoessold\\ A& 130\\ B& 120\\ C& 90\\ D& 40\\ E& 20\end{array}$

Question 13

Rahul, Varun and Yash are playing a game of spinning a coloured wheel. Rahul wins, if spinner lands on red. Varun wins, if spinner lands on blue. Yash wins, if it lands on green. Which of the following spinners should be used to make the game fair?

(a) (i)

(b) (ii)

(c) (iii)

(d) (iv)

A tent consists of a cylinder surmounted by a cone. Which of the following does the total surface area of the tent not consist of?

There are 2 two digit numbers such that one has been obtained by reversing the digits of the other. On subtracting the smaller number from the larger number, I get a number divisible by

Which one of the following options is equal to the expression
${\left(\frac{3}{4}\right)}^5÷{\left(\frac{5}{3}\right)}^5?$

(i) 252 is 35% of a certain number, find the number.
(ii) If 14% of a number is 315; find the number.

Draw two points (4,3) and (3,4) on a coordinate plane. Using a ruler measure the distance between each point and the origin (0,0). Which distance is greater?

Let $\varphi (x,y)=0$ be the equation of a circle, If $\varphi (0,\lambda )=0$ has equal roots $\lambda =2,2$ and $\varphi (\lambda ,0)=0$ has roots $\lambda =\frac{4}{5},5,$ then the roots of the circle is

Compute the following difference

$(224\times 176)-(226\times 74)$

In a quadrilateralABCD, $\angle A={150}^{\circ }$, $\angle B=\angle C=\angle D.$Find angle $B,C,D.$

Oranges are bought at 5 for Rs. 10 and sold at 6 for Rs. 15. His gain per cent is

(a) 50 %

(b) 40 %

(c) 35 %

(d) 25 %

In figure, AB ll DC, if x = $\left(\frac{4}{3}\right)yandy=\left(\frac{3}{8}\right)z.Find\angle BAD.$

Question 121

The human body is made up mostly of water. In fact about 67% of a person total body weight is water. If Jyoti weights 56 kg, how much of her weight is water?

If n(A - B) = 36, n(B - A) = 40 and n $(A\cap B)=24,$ then n $(A\cup B)=$ ___

If one factor of $5+8x-4x^2$ is $(2x+1)$, then the second factor is

The perpendicular distance of a point from y-axis measured along x-axis is known as

1. Ordinate.

2. Abscissa.

3. X- coordinate

4. Y- coordinate.

Which of the above options is/are correct?

A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.

In the given figure, radius of the circle is 7 cm. Find the area of the shaded region in $c{m}^2$.

If $x^{140}+2x^{151}+k$ is divisible by x + 1, then the value of ‘k’ is___

Which of the following are linear equations ?

a) x - 2y = 76

b) x + 78y = 98

c) $x^2+2x-5=0$

d) $x^2+2x+2=0$

$\text{Expand:}(x+\frac{1}{x}{)}^2$

​If $8^{100}\times m^{100}={56}^{100}$, then find the value of m.

In Fig. BM and DN are both perpendiculars to the segments AC and BM = DN. Prove that AC bisects BD [3 MARKS]

The cost of fencing a triangular ground having the sides 15 m, 8 m and x m at the rate of ₹ 3 per m is :

What is the minimum number that should be multiplied with 360 in order to make it a perfect cube ?

Question 2
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories:
$x+y,1000,x+x^2+x^3+x^4,7+y+5x,2y-3y^2,$ $2y-3y^2+4y^3,5x-4y+3xy,4z-15z^2,$
$ab+bc+cd+da,pqr,p^{2}q+p{q}^2,2p+2q$

If a number is divisible by 9, then it is also divisible by ___

A shopkeeper marks his goods at such a price that would give him a profit of 10 percent after allowing a discount of 12 percent. If an article is marked at 2250 rupees, find its :

I) selling price

ii) cost price

If the diagonals of a rhombus are equal, then the rhombus is a_____

If $\Delta DEF\cong \Delta BCA$ , then $\angle E$ measure the same as

Area of a pizza is one-fourth of that of a cake. What is the ratio of their radii?

EF divides the rectangle ABCD in two equal parts of _____.

The cost of an article was $Rs.15,500.Rs.450$ was spent on its repairs. If it is sold for a profit of $15\%$, find the selling price of the article.

Factor(s) of $a^2-2ab+b^2-c^2$ is/are​