Identify the number

Number Theory Level pending

Find a 4 digit natural number such that its square gives a 8 digit number with last 4 digits equal to the number taken...


The answer is 9376.

Tanishq Varshney by Tanishq Varshney , 23, India

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2 solutions

Brock Brown
Dec 26, 2014 
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def goal(x):
    if len(str(x**2)) == 8:
        if str(x**2).endswith(str(x)):
            return True
    return False
for i in xrange(1000,10000):
    if goal(i):
        print 'Answer:', i
        break

1 Helpful 1 Interesting 1 Brilliant 0 Confused
Tanishq Varshney
Dec 26, 2014

the last digit has to be 6 becoz only6* 6 gives 36(which has six at units place)

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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