Question

Which among 43², 67², 52², 59² would end with digit 1?

विकल्प

• 43² 

• 67² 

• 52² 

• 59² 

Answer 1

59² 

Explanation:

We know that, unit’s digit of the square of a natural number is the unit’s digit of the square of the digit at unit’s place of the given natural number.

∴ Unit's digit of 43² = 9   ...[∵ 3² = 9]

Unit's digit of 67² = 9  ...[∵ Unit’s digit of 7² is 9]

Unit's digit of 52² = 4   ...[∵ 2² = 4]

Unit's digit of 59² = 1   ...[∵ Unit’s digit of 9² is 1]

Clearly, the square of 59² end with digit 1.