What is the greatest number which on dividing 342 and 480 leaves remainders of 6 and 4 respectively ........

Quantitative Aptitude (MTS) Number System

What is the greatest number which, on dividing 342 and 480, leaves remainders of 6 and 4 , respectively?

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SSC MTS 11th July 2022 Shift-1

- To find the greatest number that divides given numbers with specific remainders, subtract the remainder from each dividend.

- Given numbers are 342 and 480 with remainders 6 and 4.

- Subtract:

- 342 - 6 = 336

- 480 - 4 = 476.

- Find the greatest common divisor (GCD) of these results.

- The GCD of 336 and 476 is 28.

?? Correct Answer: Option 3 - 28

- Option 1 (4): 4 divides 336 and 476 but is not the greatest.

- Option 2 (7): 7 does not divide both numbers exactly.

- Option 4 (14): 14 divides 336 but leaves a remainder with 476.

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