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RQS Training - Round 1 (10.11.2021)

Total questions: 5

Worksheet time: 4mins

Name
Class
Date
1.

A continuously operating 100 hp supply air fan motor operates at an average load of 75% while consuming 527,000 kWh annually. What are the annual energy savings in kWh and peso savings if its 93% efficient V-belt is replaced with a 98% efficient synchronous belt? Assume electricity is priced at Php 5 per kWh.

(a)  

2.

To get the maximum total resistance using three resistors of the same ohmic value,

a)

All three resistors should be connected in series.

b)

All three resistors should be connected in parallel.

c)

Two resistors should be connected in parallel then one connected in series.

d)

Two resistors should be connected in series then one connected in parallel.

3.

At a certain point, the angle of elevation of the top of the flagpole, which stands on a level ground is 35°. Seventy-five feet nearer the pole, the angle of elevation is 50°. Find the height of the flagpole.

(a)  

4.

Evaluate: limx+33+21x\lim_{x\rightarrow+\infty}\frac{3}{3+2^{\frac{1}{x}}}  

(a)  

5.

Given the three-dimensional vectors:

A = (xy)i + (2yz)j + (3xz)k

B = (yz)i + (2xz)j + (3xy)k

Determine the scalar product at the point (1, 2, 3).

(a)