Question

which of the following numbers have unit digit same as that of their square ?​

Answer 1

Answer:

Numbers 1,5, and 6 have same unit digit as their square

Answer 2

Complete Question :- which of the following number have unit digit same as that of their square option

a) 23 b) 19 c) 35 d) 44

Solution :-

→ 1² = 1 = unit digit 1 .

→ 2² = 4 = unit digit 4.

→ 3² = 9 = unit digit 9.

→ 4² = 16 = unit digit 6.

→ 5² = 25 = unit digit 5.

→ 6² = 36 = unit digit 6 .

→ 7² = 49 = unit digit 9.

→ 8² = 64 = unit digit 4.

→ 9² = 81 = unit digit 1.

→ 10² = 100 = unit digit 0.

So, unit digit of a square number is depends on the square of unit digit of that number .

Conclusion :-

• Numbers have unit digit same as that of their square are ends with 1 , 5 or 6 .

checking given options now, we get,

a) 23

→ unit digit = 3

So,

→ (3)² = 9 in last

Not equal to unit digit 3 .

b) 19

→ unit digit = 9

So,

→ (9)² = 81 = 1 in last

Not equal to unit digit 9 .

c) 35

→ unit digit = 5

So,

→ (5)² = 25 = 5 in last

Equal to unit digit 5 .

d) 44

→ unit digit = 4

So,

→ (4)² = 16 = 6 in last

Not equal to unit digit 6 .

therefore, we can conclude that, the numbers have unit digit same as that of their square is 35 .

Hence, Option (C) is correct answer .

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