Day 193: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

Question 1
Surface Areas and Volumes. Asked once: 2025
33 $Fermentation tanks are designed in the form of cylinder mounted on a cone as shown below : The total height of the tank is 3.3 m and height of conical part is 1.2 m. The diameter of the cylindrical as well as conical part is 1 m. Find the capacity of the tank. If the level of liquid in the tank is 0.7 m from the top, find the surface area of the tank in contact with liquid.$
Question 2
Triangles. Asked once: 2026
22 (B) $\Delta ABC \sim \Delta XYZ$
Question 3 (case study, 4 parts)
Areas Related to Circles. Asked once: 2025
Anurag purchased a farmhouse which is in the form of a semicircle of diameter 70 m. He divides it into three parts by taking a point P on the semicircle in such a way that $\angle PAB = 30^\circ$ as shown in the following figure, where O is the centre of semicircle. In part I, he planted saplings of Mango tree, in part II, he grew tomatoes and in part III, he grew oranges. Based on given information, answer the following questions.
36 (i) $\angle POA$
36 (ii) $Find the length of wire needed to fence entire piece of land.$
36 (iii) (a) $Find the area of region in which saplings of Mango tree are planted.$
36 (iii) (b) $Find the length of wire needed to fence the region III.$
Question 4
Arithmetic Progressions. Asked once: 2025
27 $Find the sum of all 3-digit natural numbers which are divisible by 11.$
Question 5
Circles. Asked once: 2026
33 $In the given figure, TP and TQ are tangents to a circle with centre M, touching another circle with centre N at A and B respectively. It is given that MQ = 13 cm, NB = 8 cm, BQ = 35 cm and TP = 80 cm. (i) Name the quadrilateral MQBN. (ii) Is MN parallel to PA ? Justify your answer. (iii) Find length TB. (iv) Find length MN.$

Question 1

Question 2

Question 3 (case study, 4 parts)

Question 4

Question 5