A boat takes 10 hours to go 44 km downstream and 30 km upstream. Again, the same boat takes 13 hours to go 55 km downstream and 40 km upstream. The speed of the boat and the current will be :

1. speed of boat = 3 kmph, speed of current = 2 kmph

2. speed of boat = 6 kmph, speed of current = 4 kmph

3. speed of boat = 9 kmph, speed of current = 2 kmph

4. speed of boat = 8 kmph, speed of current = 3 kmph

If ∠A = 2x°, ∠B = (6y + 10)°, ∠C = (2x + y)° and ∠D = (x + 10)° are the angles of a quadrilateral, then the values of x and y will be :

1. x = 40°, y = 20°

2. x = 20°, y = 40°

3. x = 45°, y = 15°

4. x = 15°, y = 45°

Case Study I Ritesh bought a new well-furnished two-bedroom flat in a society. The layout of the flat is shown in the figure alongside. The builder claims that the areas of the two bedrooms and the kitchen together is 95 square metres. All the dimensions in the figure are in metre (m).

Study the above information and answer the following questions.

1. Which of the following pair of linear equations represent the given situation?
   (a) x + y = 19, 2x + y = 13
   (b) x + y = 13, 2x + y = 19
   (c) x − y = 19, 2x − y = 13
   (d) x + y = 13, 2x − y = 19

2. The perimeter of the outer boundary of the layout is:
   (a) 54 m
   (b) 27 m
   (c) 50 m
   (d) 52 m

3. Total area of bedroom 1 and kitchen is:
   (a) 60 m²
   (b) 70 m²
   (c) 65 m²
   (d) 95 m²

4. The area of the living room is:
   (a) 50 m²
   (b) 60 m²
   (c) 70 m²
   (d) 75 m²

5. The cost of laying tiles on the floor of the kitchen at the rate of ₹200 per sq m is:
   (a) ₹ 7,000
   (b) ₹ 6,000
   (c) ₹ 5,200
   (d) ₹ 5,000