Group D LEVEL 1 Previous Year Question 2025-02-12 Shift 3 Shift Common

$$\text{If } \cos\theta = \frac{8}{17}, \text{ what is the value of } \sin\theta?$$

What is the average speed of a truck that covers half the distance at the speed of 20 km/hr and the other half at the speed of 80 km/hr?

Two trains having lengths of 410 m and 440 m are running at speeds of 130 km/hr and 140 km/hr, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is:

$$\text{Find the value of } x, \text{ if } 17 \times 684 \div 57 - \frac{5}{7} \text{ of } 4.2 = x + 13 \times 204 \div 17.$$

A dealer marks his goods at 30% above the cost price and allows a discount of 38% on the marked price. What is his loss percentage?

A manufacturer sells an article to a wholesaler at a profit of 20%. The wholesaler then sells it to a retailer at a profit of 25%, and the retailer sells it to a customer at a profit of 24%. If the retailer’s selling price is ₹372, what was the manufacturing cost of the article?

Subtracting 1% of X from X is the same as multiplying X by:

By selling an article for ₹528, a trader incurs a loss of 12%. At what price should he sell the article to gain 12%?

A and B working together can do a piece of work in 5 days. B alone can do the same work in 55 days. How long (in days) will A alone take to do double the work?

The sum of the present ages of father and son is 96. 20 years ago, the father was three times as old as his son. What is the ratio of the present ages of the father and his son?