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Question

Express 0.8+0.¯¯¯7+0.4¯¯¯3 in the form pq, where p and q are integers and q0.


A

18290

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B

18190

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C

18090

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D

90182

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Solution

The correct option is B

18190


We have0.8=810
Let x=0.7777..... ....(1)
10x=7.¯¯¯7 ....(2)
Subtracting (1) from (2), we get
9x=7x=79 or 0.¯¯¯7=79
Now, let y=0.4¯¯¯3 = 0.4333....
10y=4.¯¯¯3 .... (3)
And 100y =43.¯¯¯3 ....(4)
Subtracting (3) and (4), we get
90y=39 y= 3990
0.4¯¯¯3 = 3990
Now, 0.8+0.¯¯¯7+0.4¯¯¯3 = 810+79+3990
=72+70+3990 = 18190
So, 18190 is of the form pq and q 0.


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