Latest Elitmus Aptitude Question SOLUTION: If a 4 digit no.is randomly chosen,then what is the probability(approximately) that it is a perfect square? a)0.0060 b)0.0600 c)0.0070 d)0.0076

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(#M40037868) ELITMUS Numerical Ability question Probability Keep an EYE

If a 4 digit no.is randomly chosen,then what is the probability(approximately) that it is a perfect square?
a)0.0060 b)0.0600 c)0.0070 d)0.0076

Asked In Elitmus Saurabh (10 years ago)

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Saraswathy  (10 years ago)

Total no. of 4-digit no's are 10000-1000 = 9000
Perfect square 4-digit no. starts from 1024 which is the square of 32 nd ends in 9801 which is the square of 99...
So No. of 4-digit numbers which are perfect squares are 99-31 = 68
Prob. ll be = 68/9000 = 0.00755 = 0.0076

Ans : (d) 0.0076

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Vaibhav  (10 years ago)

There are 99 no below 9999 which are perfect squares but upto 31^2 it is a 3 digit no. So there are (99-31)=68 no. from 32 to 99 which are perfect squares and of 4 digit no in total of (1000-9999)=9000 nos. So Prob = 68/9000=0.00755

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Saurabh  (10 years ago)

Absolutely right boyz and gals! This tym problem solving section's question pattern changed arrangement questionhad been removed

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Navpreet Singh  (10 years ago)

there are total 68 number which are perfect square below 10000
total four digit number=9000
p=68/9000=0.0076
so ans is d

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sandeep  (7 years ago)

according to problem
4 digit numbers are 1000 to 9999
so find how many numbers between them
an = a+ (n-1)d
an=9999, a =1000 , d=1 , n =?
n= (9999-1000)/1+1(according to forumula )=9000 ( total 4 digit numbers)
now finding the perfect square
checking 32*32=1024 (smallest number) starting point
33*33= 1089
....
.......
99*99=9801

so total numbers between 32 to 99
(an- a)/d +1
(99-32)/1 +1=68
so now probability 68/9000=0.00755555555555555555555555555556 so answer is d

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deepak  (10 years ago)

2 was not in option

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rohit kumar  (9 years ago)

perfect square=(prime)^even...
like according to question=37,41,43,53,59,61,67,71,73,79,83,89,91,93,97 total of 16
and the required probability is 16/9000=.001777

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