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09 Jun 2020, 05:01
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Difficulty:
45%
(medium)
Question Stats:
65% (01:25) correct
35%
(01:34)
wrong
based on 289
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Arrange the following terms in the increasing order of their units digits:
I. 7^5
II. 8^6
III. 12^3
A. I < II < III
B. I < III < II
C. II < III < I
D. II < I < III
E. III < I < II
I. 7^5
II. 8^6
III. 12^3
A. I < II < III
B. I < III < II
C. II < III < I
D. II < I < III
E. III < I < II
yashikaaggarwal
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09 Jun 2020, 06:14
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1. 7^5 = 16807
2. 8^6 = 262144
3. 12^3 = 1728
Third is smallest
Second is largest
First lie in between
3<1<2
Answer is E
Alternatively.
Among 7^5 & 8^6
7^5 is less since it's less than 8 both by a no. And power
7^5<8^6
12 is carrying only 3 as power.
We can say. It will be around 4 digit no. Hence smallest of all.
Do 3<1<2
Answer is E
Posted from my mobile device
2. 8^6 = 262144
3. 12^3 = 1728
Third is smallest
Second is largest
First lie in between
3<1<2
Answer is E
Alternatively.
Among 7^5 & 8^6
7^5 is less since it's less than 8 both by a no. And power
7^5<8^6
12 is carrying only 3 as power.
We can say. It will be around 4 digit no. Hence smallest of all.
Do 3<1<2
Answer is E
Posted from my mobile device
09 Jun 2020, 06:19
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The unit digit of \(7^5\) is same as that of \(7^1\), i.e 7.
The unit digit of \(8^6\) is same as that of \(8^2\), i.e 4.
The unit digit of \(12^3\) is same as that of \(2^3\), i.e 8.
II < I < III
The unit digit of \(8^6\) is same as that of \(8^2\), i.e 4.
The unit digit of \(12^3\) is same as that of \(2^3\), i.e 8.
II < I < III
Bunuel
