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Q.

How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?


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a

53

b

63

c

73

d

83 

answer is C.

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Detailed Solution

The number between 10 and 300 which leaves remainder 3 are,
Least number = 11,
Largest number = 299.
So, a=11 and a n =299  ,
  d=15−11 d=4  .
Also, Series is 11,15,19, ….. , 299.
Now,
a n =a+ n−1 d 299=11+ n−1 4 299−11=4n−4 288=4n−4     4n=288+4 4n=292 n= 292 4 n=73   So, numbers leaving a remainder 3 are 73.
Thus, the correct option is 3.
 
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