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In the two-digit integer RS, R is the tens digit, and S is the units digit. What is the units digit of S^4?
(1) RS is divisible by 2 but not by 5.
(2) R = 5.
(1) RS is divisible by 2 but not by 5.
(2) R = 5.
03 May 2016, 20:54
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Bunuel
In the two-digit integer RS, R is the tens digit, and S is the units digit. What is the units digit of S^4?
(1) RS is divisible by 2 but not by 5.
(2) R = 5.
(1) RS is divisible by 2 but not by 5.
(2) R = 5.
we are looking for units digit of S^4..
It will be important to know the pecularities of 4th power..
1) all ODD numbers except 5 gives 1 as the 4th power
example 3^4 = 81
7^4 = 2401..
2) all EVEN numbers except 0 gives 6 as the 4th power
example 2^4 = 16
4^4 = 256.
3) 4th power of 5 will give 5 as units digit
4) 4th power of 0 will give 0 as units digit
lets see the statements-
(1) RS is divisible by 2 but not by 5.
see the property of all even except 0-- units digit will be 6..
since it is not a multiple of 5, 0 as units digit can be ruled out
ans - 6
Suff
(2) R = 5.
Nothing anout S
Insuff
A
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26 Sep 2018, 08:13
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In the two digit integer RS, R is in the Tens digit, and S is in the units digit. What is the units digit of S^4?
1. RS is divisible by 2, but not by 5
2. R=5
1. RS is divisible by 2, but not by 5
2. R=5
