Question
A two-digit number when divided by the sum of its digits
gives quotient 5 and remainder 2. If the digits differ by 1, find the number.Solution
ATQ, Let the number be 10a + b, sum of digits = a + b Given: 10a + b = 5(a + b) + 2 10a + b = 5a + 5b + 2 5a - 4b = 2 ...(1) Digits differ by 1. Try a = b - 1 (since tens digit likely larger): Put a = b - 1 in (1): 5(b - 1) - 4b = 2 5b - 5 - 4b = 2 b - 5 = 2 b = 7 Then a = 6 Number = 67 Check: Sum digits = 6 + 7 = 13 67 = 5*13 + 2 (correct)
What is the Reserve Bank of India’s (RBI) inflation target, including its tolerance band?
What feature of the "Flash Pay" RuPay smart key chain launched by Federal Bank emphasizes enhanced security for contactless payments?
The National Biodiversity Authority (NBA) realised how much amount under the ABS framework in the last 45 days?
According to the World Bank’s latest Global Economic Prospects report, real global GDP is set to climb 2.1% this year. In the report the bank has also...
Who received the 58th Jnanpith Award for Sanskrit literature in 2025?
Who is the MD & CEO of Axis Bank ?
On April 7, 2026, the Nasscom Foundation appointed UB Pravin Rao as its new Chairperson. Whom did he succeed?
The UMMID Programme was first launched in India in which year?
What is the maximum number of self-regulatory organizations (SROs) that RBI will approve for the NBFC sector?
According to data on infrastructure sector performance, what was the growth rate of the eight core infrastructure sectors in January when growth slowed ...
Relevant for Exams:
