# Solved papers for 10th Class Mathematics Solved Paper - Mathematics-2016 Delhi Term-II Set-III

### done Solved Paper - Mathematics-2016 Delhi Term-II Set-III

• question_answer1) How many terms of the A. P. 65, 60, 55,.... be taken so that their sum is zero?

 A box consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Ramesh, a shopkeeper will buy only those shirts which are good but 'Kewal' another shopkeeper will not buy shirts with major defects. A shirt is taken out of the box at random. What is the probability that (i) Ramesh will buy the selected shirt? (ii) 'Kewal' will buy the selected shirt?

• question_answer3) Solve the following quadratic equation for x: ${{x}^{2}}\left( \frac{a}{a+b}=\frac{a+b}{a} \right)x+1=0$

• question_answer4) A toy is in the form of a cone of base radius 3.5 cm mounted on a hemisphere of base diameter 7 cm. If the total height of the toy is 15.5 cm, find the total surface area of the toy. $\left( use\,\pi =\frac{22}{7} \right)$

• question_answer5) The sum of three numbers in A.P is 12 and sum of their cubes is 288. Find the numbers.

• question_answer6) Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

• question_answer7) The time taken by a person to cover 150 km was $2\frac{1}{2}$ hours more than the time taken is return journey. If he returned at a speed of 10 km/hour more than the speed while going, find the speed per hour in each direction.

• question_answer8) Draw a triangle ABC with $BC=7\text{ }cm,\angle B=45{}^\circ$ and $\angle A=105{}^\circ$. Then construct a triangle whose sides are $\frac{4}{5}$ times the corresponding sides of $\Delta \text{ }ABC$.