Question
Consider a number of the form '49678a' which is divisible
by 6 but not divisible by 5. Find the value of (a × 2 + 3).Solution
ATQ,
Divisibility by 6 ⇒ divisible by both 2 and 3.
Sum of digits = 4 + 9 + 6 + 7 + 8 + a = 34 + a
To be divisible by 3: (34 + a) must be divisible by 3
Also, a must be even (for divisibility by 2), and not 0 or 5.
Even options: 0, 2, 4, 6, 8
Try a = 2 → 34 + 2 = 36 ✅
So, a = 2
(2×a + 3) = 2×2 + 3 = 7
Which bank was penalized by RBI for offering gifts in the form of paying first-year life insurance premiums on certain deposits and contacting customers...
Which Indian cricketer has the highest number of international centuries?
The marriage known as Andi and Oporatipi is related to which tribal community?
At the 53rd International Film Festival of India held in Panaji, Goa which of the following movies has won the Best Film Award?
Which mutual fund launched the digital campaign "Apne #SIPKoDoPromotion" in July 2024 to educate investors about the benefits of SIP Top-Up?
The Oilfields (Regulation and Development) Amendment Bill, 2024, aims to boost investment in the oil and gas sector by:
Which of the following is the highest peak of the Eastern Ghats?
The first train was started from which place to where in Uttar Pradesh?
Who was awarded France's highest civilian honor, the Chevalier de la Légion d'Honneur, in February 2024?
What is India’s rank in the Travel and Tourism Development Index released by the World Economic Forum?