## PEC EPE Exam Numercial Questions for Construction Materials and Machinery

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### Other PEC EPE Exam Past Paper Questions

**A concrete mix contains cement, sand, and coarse aggregates in the ratio of 1:2:4 by weight. If the total weight of the mix is 1000 kg, calculate the weight of each component in the mix.**

Solution:

Weight of cement = (1 / (1+2+4)) * 1000 kg = 1000/7 kg โ 142.86 kg

Weight of sand = (2 / (1+2+4)) * 1000 kg = 2000/7 kg โ 285.71 kg

Weight of coarse aggregates = (4 / (1+2+4)) * 1000 kg = 4000/7 kg โ 571.43 kg

Answer:

Weight of cement โ 142.86 kg

Weight of sand โ 285.71 kg

Weight of coarse aggregates

**A rectangular concrete slab has dimensions 5 meters by 3 meters and a thickness of 0.15 meters. Calculate the volume of concrete required to construct the slab.**

Solution:

Volume of concrete = Length ร Width ร Thickness

Volume of concrete = 5 m ร 3 m ร 0.15 m = 2.25 cubic meters

Answer: Volume of concrete = 2.25 cubic meters

**A cylindrical water tank has a radius of 2 meters and a height of 5 meters. Calculate the total volume of the tank.**

Solution:

Volume of cylinder = ฯ ร Radius^2 ร Height

Volume of cylinder = ฯ ร 2^2 ร 5 = 20ฯ cubic meters โ 62.83 cubic meters

Answer: Volume of the cylindrical tank โ 62.83 cubic meters

**The density of a certain construction material is 2500 kg/mยณ. If a cube of this material has edges measuring 1 meter, calculate the weight of the cube.**

Solution:

Weight of the cube = Volume ร Density

Volume of the cube = Edge^3 = 1 m ร 1 m ร 1 m = 1 cubic meter

Weight of the cube = 1 mยณ ร 2500 kg/mยณ = 2500 kg

Answer: Weight of the cube = 2500 kg

**A concrete mix has a water-cement ratio of 0.45. If the weight of cement used is 300 kg, calculate the weight of water required.**

Solution:

Weight of water = Water-cement ratio ร Weight of cement

Weight of water = 0.45 ร 300 kg = 135 kg

Answer: Weight of water required = 135 kg

**The density of a certain construction material is 1500 kg/mยณ. If a rectangular block of this material has dimensions 2 meters by 1 meter by 0.5 meters, calculate the weight of the block.**

Solution:

Volume of the block = Length ร Width ร Height

Volume of the block = 2 m ร 1 m ร 0.5 m = 1 cubic meter

Weight of the block = Volume ร Density

Weight of the block = 1 mยณ ร 1500 kg/mยณ = 1500 kg

Answer: Weight of the block = 1500 kg

**A construction company uses a cement-sand mortar mix with a ratio of 1:4 by volume. If the volume of cement used is 0.1 cubic meters, calculate the volume of sand required.**

Solution:

Volume of sand = Sand-cement ratio ร Volume of cement

Volume of sand = 4 ร 0.1 cubic meters = 0.4 cubic meters

Answer: Volume of sand required = 0.4 cubic meters

**The specific gravity of a construction material is 2.5. If the weight of a certain volume of this material is 400 kg, calculate the volume of the material.**

Solution:

Volume of the material = Weight / Specific gravity

Volume of the material = 400 kg / 2.5 = 160 cubic meters

Answer: Volume of the material = 160 cubic meters

**A cylindrical concrete column has a diameter of 0.6 meters and a height of 3 meters. Calculate the volume of concrete required to construct the column.**

Solution:

Volume of cylinder = ฯ ร (Diameter/2)^2 ร Height

Volume of cylinder = ฯ ร (0.6 m / 2)^2 ร 3 m โ 0.848 cubic meters

Answer: Volume of concrete required = 0.848 cubic meters

**The specific gravity of a construction material is 2.0. If the weight of a certain volume of water is 1000 kg, calculate the weight of the same volume of the construction material.**

Solution:

Weight of the material = Weight of water ร Specific gravity

Weight of the material = 1000 kg ร 2.0 = 2000 kg

Answer: Weight of the construction material = 2000 kg