A boat of length 6 meters and breadth 4 meters is floating on a lake. The boat sinks by 0.2 cm when a man gets into it. Calculate the mass of the man.
- 45 Kg
- 49 Kg
- 47 Kg
- 48 Kg
The Correct Option is A
Solution and Explanation
Assume,
Length of the boat \((L)\) = 6 meters
Breadth of the boat \((B)\) = 4 meters
Depth of sinking \((h)\) = 0.2 cm = 0.002 meters (converted into meter)
volume of water displaced \((V)\) = \(V = L \times B \times h\)
\(V\) = 6 × 4 × 0.002
\(V\) = 0.048 m3
mass of person \((p)\)
The density of water = \(1000 \frac{kg}{m^3}\)
\(m = p \times V\)
\(m\) = 1000 × 0.048
\(m\) = 48 kg
The correct option is (D):48 Kg
Top Questions on Geometry
- The distance of the point \( (7, 10, 11) \) from the line \( \frac{x-9}{2} = \frac{y-13}{3} = \frac{z-17}{6} \) along the line is:
A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius \( r \) cm as shown in the figure. The side of the dodecagon is \( d \) cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side \( r \) cm, and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are:
A rectangle has a length \(L\) and a width \(W\), where \(L > W\). If the width, \(W\), is increased by 10%, which one of the following statements is correct for all values of \(L\) and \(W\)?
Select the most appropriate option to complete the above sentence.In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?
- Let a circle \( C \) with radius \( r \) passes through four distinct points \( (0, 0), (k, 3k), (2, 3), (-1, 5) \), such that \( k \neq 0 \), then \( (10k + 2r^2) \) is equal to:
Questions Asked in KMAT KERALA exam
- Sarah's age is now five times that of her nephew Jack. If Jack will be 11 years old, in 3 years, how old will Sarah be then?
- A can complete a task in 6 days, B can complete it in 8 days, and C can complete it in 12 days. If they all work together, how many days will be required to complete the task?
- KMAT KERALA - 2024
- Time and Work
- If A can paint a room in 8 hours and B can paint the same room in 10 hours, how much of the room remains unpainted if they work together for 3 hours?
- KMAT KERALA - 2024
- Time and Work
- Where was the 12th India-Oman ‘Joint Military Cooperation Committee meeting held?
- KMAT KERALA - 2024
- Central Government
- Where is the National Institute of Hydrology (NIH) located?
- KMAT KERALA - 2024
- Geography