Question
How many values can 'x' take if the number 7531xk must be
divisible by 15 for any valid digit 'k'?Solution
ATQ,
Divisible by 15 ⇒ divisible by both 5 and 3
Divisible by 5: last digit k must be 0 or 5
Divisible by 3: sum of digits must be divisible by 3
Case 1: k = 0
Sum = 7 + 5 + 3 + 1 + x + 0 = x + 16
Divisible by 3 ⇒ x = 2, 5, 8
Case 2: k = 5
Sum = 7 + 5 + 3 + 1 + x + 5 = x + 21
Divisible by 3 ⇒ x = 0, 3, 6, 9
Total values of x: 3 (case 1) + 4 (case 2) = 7 values
Alysa Liu, a 2022 Olympian and world championships bronze medalist, is retiring from competitive figure skating at age 16. She is from ___________.
Recently an Online platform ‘Trade nxt ’ which enables corporate, and MSMEs to transact all cross-border export-import transactions, has bee...
What is the mangrove area presently recorded in Tamil Nadu as per the given data?
Recently the Vice President of India leads delegation at the 19th ASEAN-India Summit in which of the following country?
Hun-Thadou cultural festival is an annual cultural festival and a civilizing act of the Thadous community  and is celebrated at the arrival of the n...
Who is the Chairman of the State Bank of India, awarded the World’s Best Consumer Bank for 2025?
As a step to grow business HDFC bank will begin to provide premium banking services, named as _______ to various customer groups, such as farmers, micro...
Lata Deenanath Mangeshkar award is given every year to an individual who has made a path-breaking contribution towards the nation, its people and societ...
Which country was India’s biggest trading partner in the first half of 2021?
Eklavya Model Residential School (EMRS) is being implemented as a central sector scheme to provide quality education to the students of which category?
Relevant for Exams:
