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Q.

How many multiples of 4 lies between 10 and 205?


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a

40

b

45

c

49

d

51 

answer is C.

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Detailed Solution

Number which lies between 10 and 205 which are multiple of 4 are,
12, 16,……….204
It is an Arithmetic Progressions where,
First term
a=12,
Common difference,
d=4
Last term,
an=204''>an=204
Here from the formula of last term
an=a+(n-1)d
12+n-14=204
 ⇒n-14=204-12 
⇒n-14=192 
⇒n-1=1924
⇒n-1=48
⇒n=48+1 
⇒n=49 
So, total multiples of 4 between 10 and 205= 49
Option 3 is correct.
 
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How many multiples of 4 lies between 10 and 205?