Find the least number which when divided by 20, 25, 35 and 40 leaves remainders 14, 19, 29 and 34, respectively.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 1394.
The number is 6 less than a number divisible by 20, 25, 35, and 40.
The LCM of 20, 25, 35, and 40:
20 = 2² × 5
25 = 5²
35 = 5 × 7
40 = 2³ × 5
LCM = 2³ × 5² × 7 = 8 × 25 × 7 = 1400
Now
1400 - 6 = 1394