DSSSB MATHS | DSSSB PYQ | TARGET DSSSB 2026 | LECTURE-75

Описание: DSSSB MATHS | DSSSB PYQ | TARGET DSSSB 2026 | LECTURE-75 ‪@payalsinghalacademy‬

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Q1. A conical tank is 60 cm high and has a base diameter of 64 cm. Find the total cost of painting its exterior at the rate of ₹40/m². Write your answer correct to two decimal places. (Take π = 3.14)
Q2. A rectangle has a length of 12 cm and a breadth of 8 cm. Find its perimeter.
Q3. Two friends Rajan and Rajeev started a business with an initial capital contribution of ₹80,000 and ₹48,000. At the end of the year, the business made a profit of ₹49,440. Find the share (in ₹) of Rajeev in the profit.
Q4. A man loses 10% by selling an article for ₹450. If he sells it for ₹385, what will be his loss percentage?
Q5. Three friends X, Y and Z started a business by investing a sum of money in the ratio of 7 : 3 : 8. After 6 months X withdraws half of his capital. If the sum invested by Z is ₹10,000, out of a total annual profit of ₹52,000, what is the difference between the X's and Y's profit?
Q6. A pipe can fill a tank in 18 hours. Another pipe can empty the filled tank in 19 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be one-third filled, is:
Q7. Find the mean proportional between 9/16 and 25/36.
Q8. The perimeter of the base of a right circular cone is 176 cm. If the height of the cone is 96 cm, then what is the total surface area (in cm²) of the cone? (Take π = 22/7)
Q9. A solid cylinder of height 50 cm and radius 10.5 cm is melted and recast into smaller cylinders each having radius 4.2 cm and height 12.5 cm. If there are n number of smaller cylinders formed, find n.
Q10. A shopkeeper lists the price of a fan at 45% above its cost price and offers a 30% discount on its list price. If he earns a profit of ₹63, then what is the list price (in ₹) of the fan?
Q11. Find the area of the quadrilateral ABCD with vertices A(0,0), B(4,0), C(3,3), and D(0,4).
Q12. The volume of a cube is 64 cm³. The total surface area of the cube is:
Q13. A can do a piece of work in 4 days and B can do the same work in 8 days. How much work can be done by them working together in 2 days?
Q14. If x is inversely proportional to y, and y = 21 when x = 2, find the value of x when y = 3.
Q15. A shopkeeper announces a festival offer “Buy goods worth ₹5,000 and get ₹500 off instantly”. Another shopkeeper offers the same goods at 15% discount on the marked price. Which offer is a better deal for the customer, and by how much?
Q16. Two friends Manoj and Seema start running from the same point on a circular track of 420 m in the same direction. The speed of Manoj is 6 m/sec and the speed of Seema is 4 m/sec. After how much time will they meet again at the starting point?
Q17. An open water drum is in the form of a cylinder. The height of the drum is 79 m and its internal diameter is 73 m. Find the area (in m², rounded off to one decimal place) that needs to be painted if one wants to paint the inside of the drum. (Use π = 22/7)
Q18. The owner of a smartphone shop charges his customer 22.5% more than the cost price. If a customer paid ₹14,700 for the smartphone, then what was the cost price of the smartphone?
Q19. The areas of three faces of a cuboid that meet at a single vertex are 20 cm², 30 cm², and 24 cm². Find the volume of the cuboid.
Q20. Train A running at a speed of 90 km/hr takes 31 seconds to completely cross train B running at 72 km/hr in the opposite direction. The length of train B is 1.5 times the length of train A. Train B crosses a bridge completely in 97 seconds. The length of the bridge (in m) is: