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Alex went for shopping with $5x^2+3xy-y^3$ rupees. He bought a toy for $2x^2+xy$ rupees and spent $2xy-y^3$ rupees on a meal. How much money is he left with?

The product of two numbers is $15\frac{5}{6}$. If one of the numbers is $6\frac{2}{3}$, what is the other number?

In a pack of playing cards, what is the ratio of lettered cards to non lettered cards?

Two rays are drawn from a point 'P' on a line as shown. If angle 'a' and 'c' are equal and twice that of angle 'b'. Then find angle 'b'.

The temperature of +13^oC is ______ than the temperature of -13^oC.

Question 90

Solve the following:

Two equal sides of a triangle are each 4 m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55m.

Find the area of quadrilateral ABCD in sq.units, given AE = 10 units, BD = 24 units and CF = 8 units.

Find the sum of 153 and -302

Find the area of the rhombus having diagonals of length 10 cm and 22 cm.

Out of the following rational numbers, which one is the greatest : $\frac{-4}{5}$, $\frac{-2}{3}$, $\frac{-7}{8}$ and $\frac{-5}{6}$

Two different machines are used to manufacture a product. The $1^{st}$ machine makes the top part, $14$ in each batch, and the $2^{nd}$ machine makes the bottom part, $16$ in each batch. Each top part is assembled with the bottom part and released to the sales department.



Find the minimum number of batches needs to be produced by the $2^{nd}$ machine such that no unassembled parts are left.

Question 154 (i)

In the given figure, $QS\perp PR,RT\perp PQ$ and $QS=RT$
Is $\Delta QSR\cong \Delta RTQ$? Give reason.

Which of the following is not closed for rational numbers?

I bought sweets for ₹ 72.75 and a cake for ₹ 122.25. If I gave the shopkeeper ₹ 200, then I will get back _____.

If $\Delta ABC\cong \Delta RQP$ , then $\angle P$ = _____ .

Which of the following rule is preferred to draw a triangle exactly identical to a right angled triangle?

Question 6 (i)

Give one example of a situation in which

(i) The mean is an appropriate measure of central tendency.

Question 142 (ii)

Without drawing the triangles write all six pairs of equal measures in the given pair of congruent triangles.

$\Delta ABC\cong \Delta LMN$

Write the equation for the following statement:
Seven times $m$ plus $7$ gets you $77.$

A invests Rs 5000 and B invests Rs 10000 at the same rate of interest per annum. At the end of 3 years, B gets Rs 2100 more interest than A. Find the rate of interest.

If

L ∩ M = M ∩ L

In the given fig. locate the position where the ball lies on the number line.

Question 10

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after



A) One decimal place

B) Two decimal places

C) Three decimal places

D) Four decimal places

There are $n$ lines in a plane, no two of which are paralel, and no three are concurrent. Their points of intersection are joined. The number of fresh line thus obtained is

1. 8

Find the ratio of 5 km to 250 m. (Select all the options that are correct)

Question 13

Find the missing number in the box in each of the proportions:

$\frac{8}{\square }=\frac{3.2}{4}$

The marked price of a shirt and a trouser are in the ratio $1:2.$ The shopkeeper gives $40\%$ discount on the shirt. If the total discount in the set of the shirt and trouser is $30\%,$ then the discount offered on the trouser is

1. 5

Question 2 (v)

Add:

14x + 10y - 12xy - 13, 18 - 7x - 10y + 8xy, 4xy

A coin is tossed. If it shows head, we draw a ball from a bag consisting of $3$ blue and $4$ white balls. If it shows tail we throw a die. The number of elements in the sample space of this experiment is: