Question

The least number which on division by 35 leaves a remainder 25 and on division by 45 leaves the remainder 35 and on division by 55 leaves the remainder of 45 is

• A. 2515
• B. 3455
• C. 2875
• D. 2785

Answer 1

The correct option is B 3455

$35=5\times 7$
$45=3\times 3\times 5$
$55=5\times 11$
LCM of (35,45,55)=$3\times 3\times 5\times \times 7\times 11=3465$
Since difference between divisor and remainder is 10
Hence least number is $3465-10=3455$