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29 vote

The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is

Asked on by | Votes 29 | Views: 2407 | Tags: mathematics     | hcf and lcm     | quantitative aptitude     | ssc     | Add Bounty

The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is
1). 12
2). 24
3). 30
4). 120

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2 answers

42 vote
Answered by on | Votes 42 |
Option option 4 is the correct answer

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44 vote
Answered by on | Votes 44 |

Clearly, $122 – 2 = 120$ and $243 – 3 = 240$ are exactly divisible by the required number.

Required number $=$ HCF of $120, 240 = 120$

Accepted Answer