If \(\frac { 2x-3 }{ 5 } +\frac { x+3 }{ 4 } =\frac { 4x+1 }{ 7 } \) , find the value of x.

4

(a)

How much pure alcohol must be added to 400 ml of a 15% solution to make its strength 32%.

4

(a)

Find angles x and y in each figure.

4

(a)

In an examination, 72% of the total examinees passed. If the number of failures is 392, find the total number of examinees.

4

(a)

If the cost price of 6pens is equal to the selling price of 4 pens, Then find the gain per cent.

4

(a)

Write four numbers in the following pattern :
\(\frac { -1 }{ 3 } ,\frac { -2 }{ 6 } ,\frac { -3 }{ 9 } '\frac { -4 }{ 12 } ,...\)

4

(a)

Consider the following parallelograms with sides 7 cm and 5 cm each


Find the perimeter and area of each of these parallelograms.

4

(a)

A diagonal of a quadrilateral is 40 em and the lengths of perpendiculars to it from the opposite vertex are 6.6 em and 8.4 em. Find the area of the quadrilateral.

4

(a)

5. If (25)^n-1 + 100 = 5^(2n-1), find the value of n.

4

(a)

Simplify:
(a) \(\frac{12^4\times 9^3\times 4}{6^3\times 8^2\times 27}\)
(b) 2³ x a³ x 5a⁴

4

(a)