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
The First G20 Culture Group (CWG) meet to be organised in which city of Madhya Pradesh from 22nd to 25th February 2023?
Which private player has built India's first spy satellite, set to be launched in April?
Which of the following has the same dimension as that of linear momentum?
Which Country announced to remove the British Monarchy from its Bank notes?
What is the primary focus of this year's report on global progress towards the Sustainable Development Goal 2 (SDG 2)?
The “Conversations India’s Leading Art Historian Engage with 101 Themes and More” is the recent book being authored by?
How much did the Asian Development Bank (ADB) commit in sovereign lending to India in 2023?
How many total medals has China won in the Sudirman Cup following their 2025 victory?
According to the Tamil Nadu School Education Department's guidelines, what is the main goal of the Guidelines for the Elimination of Corporal Punishment...
Which bank has launched UPI integration for NRE clients through its mobile banking platform enabling NRIs to seamlessly utilise UPI features through the...
Relevant for Exams:
