Question

The longest telescope in D.O.S.A is 14.70 metres long. If the telescope has a sensor at every 70 centimetres, the total number of sensors in it is

A
2
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B
12
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C
21
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D
22
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Solution

The correct option is C 21The length of the telescope is 14.7 metres. To convert from metres to centimetres, follow the process: So, 1 m =100 cm. ∴ 14.7 m =14.7×100=1470 cm. Now, the telescope has a sensor at every 70 cm distance throughout its length of 1470 cm. So, the total number of sensors is given by =1470 ÷70. Here, dividend =1470. Divisor =70. The dividend 1470 can be written in the expaned form as 1470=1000+400+70. So, calculating =1470 ÷70 using the "box method", Adding the partial quotients, you get the final quotient as: 10+10+1=21. So, 1470 ÷70=21. Therefore, the telescope will have 21 sensors in total throughout its length.

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