Question
If the 5-digit number 676pq is divisible by 3, 7 and 11,
then what is the value of (6p – 7q)?Solution
When 676xy is divisible by 3, 7 &11, it will also be divisible by the LCM of 3, 7 & 11. Dividend = Divisor × Quotient + Remainder By taking the largest 5-digit number 67699 and divide it by 231. ∵ 67699 = 231 × 293 + 16 ⇒ 67699 = 67683 + 16 ⇒ 67699 - 16 = 67683 (completely divisible by 231) ∴ 67683 = 676pq (where p = 8, q = 3) (6p – 7q) = 6 × 8 - 7 × 3 ⇒ 48 - 21 = 27 ∴ The required result = 27
- Find the angle between the minute hand and hour hand at 9:30 am?
What is the angle between the minute hand and the hour hand at 1:40hrs when taken in anticlockwise direction from the minute hand?
- What will be the angle formed between the hour hand and minute hand of a clock at 7:57 pm, when taken in clockwise direction from the hour hand?
- When seen through a mirror, a clock shows 09:35 hrs. The correct time is ____.
It was Sunday on June 2, 2019. What will be the day on June 2, 2027?
If Valentine’s day (14th February 2017) was Sunday, then, find in which forthcoming year we would celebrate the Valentine’s day on Sunda...
If it was Saturday on 1st April 1948, then what was the day on 1st April 1954?
What will be the angle formed between the hour hand and minute hand of a clock at 5hrs.10mins.?
If the second day of a month is Friday, which of the following would be the last day of the next month which has 31 days?
If it was Sunday on 1st February 2020, then what was the day on 1st October 2020?
Relevant for Exams:
