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10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. [3 MARKS]

The probability of occurrence of an event is defined as

${\left(\frac{64}{25}\right)}^{\frac{-3}{2}}$ Evaluate

Evaluate:
$(4pq+3q{)}^2-(4pq-3q{)}^2$

Which of the following does not give a linear graph?

Question 92

Solve the following question:

Using prime factorization, find which of the following are perfect cubes.

a) 128
b) 343
c) 729
d) 1331

Question 51

The number of times a particular observation occurs in a given data, is called its ___,

Factorise :x⁴+x²+1

The number of non negative integers which are less than 1000 and end with only one zero is

11x+4=2x-5

A square is drawn with a scale factor of $\frac{1}{2}$ with original square. What is the ratio of their areas?

Square of $\left(\frac{-2}{3}\right)$ is

$\text{If}\frac{3x+5}{4}+1=\frac{x+3}{6},\text{then find the}\text{value of}x.$

Which of the following solids are not polyhedrons?

Which of the following three-dimensional shapes are not polyhedrons?

Find x.

$x^2-9=72$

A shopkeeper bought a T.V. at a discount of 30% on the list price of Rs.24,000. The shopkeeper offers a discount of 10% on the list price to his customer.

If the VAT is 10% find the amount paid by the customer, and the VAT to be paid by the shopkeeper.

A semicircle CDE is mounted on a parallelogram ABCE as shown, If AB = 24 cm, AE = 13 cm and EF = 12 cm,
find

(a) The perimeter of the figure,

(b) The area of the figure. [4 MARKS]

Divide the sum of 65/12 and 12/7 by their difference.

8^1+|cosX|+cos^2X+|cos^3X|.......till infinity=4^3

Find the value of $(\frac{-6}{10}{)}^3$ up to three decimal. [2 MARKS]

In $△ABC$ and $△PQR,\angle A={30}^o,\angle B={70}^o,\angle P={70}^o,\angle Q={80}^o$ and $AB=RP,$ then

Question 94

Find the area enclosed by the following figure:

Two cylinders A and B are formed by folding a rectangular sheet of dimensions $20cm\times 10cm$ along its length and also along its breadth respectively. Then, volume of A is ___ of volume of B.

Each symbol given below represents an algebraic expression: [4 MARKS]

Find the expression represented by the above symbols

If the side of a rhombus is 6 cm and its one diagonal is 10 cm, then find the area of the rhombus.

Which of the following is equal to 200% of 12?

If 0.00000000837 is expressed as $x.37\times {10}^y,$ then $y\times {10}^x$ written as a numeral is