Question
Download Solution PDFWhat is the number in the units place of the number 12502149?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number = 12502
Exponent = 149
Formula used:
To find the units digit of a number raised to a power, we observe the cyclicity of the units digit of the base number.
Calculation:
The units digit of 12502 is 2.
Units digit of powers of 2:
21 = 2 (units digit = 2)
22 = 4 (units digit = 4)
23 = 8 (units digit = 8)
24 = 16 (units digit = 6)
25 = 32 (units digit = 2)
The units digit of powers of 2 follows a cycle: [2, 4, 8, 6].
Cycle length = 4.
Exponent = 149
Find position in the cycle:
149 ÷ 4 = 37 remainder 1
⇒ Position in the cycle is 1.
⇒ Units digit of 12502149 is the same as 21.
⇒ Units digit = 2.
∴ The correct answer is option (4).
Last updated on Jul 4, 2025
-> The UP Police Sub Inspector 2025 Notification will be released by the end of July 2025 for 4543 vacancies.
-> A total of 35 Lakh applications are expected this year for the UP Police vacancies..
-> The recruitment is also ongoing for 268 vacancies of Sub Inspector (Confidential) under the 2023-24 cycle.
-> The pay Scale for the post ranges from Pay Band 9300 - 34800.
-> Graduates between 21 to 28 years of age are eligible for this post. The selection process includes a written exam, document verification & Physical Standards Test, and computer typing test & stenography test.
-> Assam Police Constable Admit Card 2025 has been released.