Let x be a number between 1420 and 1780 such that when x is divided by 10, 15, 24 and 32, the reminder in each case is 7. The sum of the digit of x is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16.
Calculations:
LCM of 10 × 15 × 24 × 32 is 480
Number should be between 1420 and 1780
The number = 480 × 3 = 1440
Remainder will be 7 in each case so the number = 1440 + 7 = 1447
Required sum = 1 + 4 + 4 + 7 = 16