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A man buys article for rs. 150 and makes overhead experses which are 10 % of the cost price. At what price must he sell it to gain 20 % ?

(a) Rs. 182

(b) Rs. 192

(c) Rs. 198

(d) Rs. 208

Question 2
If 31z5 is a multiple of 9, where z is a digit, what is the value of z?
You will find that there are two answers for the last problem. Why is this so?

Question 23

A coin is tossed 12 times and the outcomes are observed as shown below:

The chance of occurence of head is:

(a) $\frac{1}{2}$

(b) $\frac{5}{12}$

(c) $\frac{7}{12}$

(d) $\frac{5}{7}$

A contractor estimated that 5 men would require 14 days to repair a house. How long will it take for 7 men to repair the same house?

Question 2 (i)

Without doing any calculation, find the numbers which are surely not perfect squares:

153

By what number should $5^{-1}$ be multiplied so that the product may be equal to $(-7{)}^{-1}$ ?

What value of x will make the equation 4x + 7 = 11, a true statement?

The least number by which 425 must be multiplied to make it a perfect square is

Question 73

State whether the following statement is true or false:

Square root of a number x is denoted by $\sqrt{x}$.

In which of the following ways can four people hold each other's hands to form a quadrilateral?

Using the identity $(x+y{)}^2+(x-y{)}^2=2(x^2+y^2)$

Compute the value of $4^2+2^2$

The standard notation of 1650000 is given by .

A trapezium whose parllel side are 25cm and 10cm and non parllel side are 14cm and 13cm find its area.

Find the quadrant in which the following points lie:

(i) (5, 10); (ii) (−8, 9); (iii) (−800, −3000); (iv) (8, −100).

If all three angles of a triangle are equal then the measure of each angle is

A shopkeeper offers 2.5% discount on cash purchases. What cash amount would Rohan pay for a cycle, the marked price of which is Rs. 650?

The product of $\frac{-26}{35}$ and $\frac{-28}{39}$ is

1. 27

Question 5 (i)

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:

252

Find the area of hexagon PQRSTU (in $m^2$) in which QN is perpendicular to PS, RL is perpendicular to PS, TM is perpendicular to PS, UO is perpendicular to PS such that PO= 4 m, ON=2 m, NM= 6 m, ML=2 m, LS= 6 m, UO= 6 m, TM= 8 m, QN= 2 m, and RL=4 m.

Which of the following numbers are divisible by 11 and 9 respectively?

Question 52

Answer True/False.

$x=5$ is the solution of the equation $3x+2=20$.

Question 49

Solve the following:

$\frac{3x-8}{2x}=1$

Let ABCD be a quadrilateral in which AB is the smallest side and CD is the largest side. Prove that ∠A > ∠C and ∠B > ∠D. (Hint: Join AC and BD.)

Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6 cm, $\angle ABC={60}^{\circ }$, $\angle DAB={75}^{\circ }$, and $\angle ADC={85}^{\circ }$? If yes, find the value of $\angle BCD$.

1. 961

Verify Euler’s relation for each of the following: (i) A square prism (ii) A tetrahedron (iii) A triangular prism (iv) A square pyramid

Factorise by grouping method:

$(2a-b{)}^2-10a+5b$

1. 5

In the below figure, $△ABC$ is congruent with the triangle ______.

The expanded form of a 3-digit number abc is

a steamer goes downstream from one port to another in 9 hours . it covers the same distance upstream in 10 hours.if the speed of the stream be 1km/per hour then find the speed of the steamer in still water and the distance between the ports

The cost of 97 metre of cloth is Rs 242.50. What length of this can be purchased for Rs 302.50?

The following observations have been arranged in a scending order. If the median of the data is 63, find the value of x.

29,32,48,50, x, x +2, 72, 78,84, 95 [2 MARKS]

Question 75

From the given pie chart, we can infer that production of Manganese is least in state B.

There is a quadrilateral PLAY with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of LY is not possible?

Which is larger: $(5^3\times 5^4\times 5^5\times 5^6)or(5^7\times 5^8)$?