Question
What is the two-digit integer N? Statement 1:
The sum of the digits of N is 11. Statement 2: When the digits of N are reversed, the new number is 27 more than N.Solution
ATQ, Let N = 10a + b (a: tens digit, b: units digit). From Statement 1: a + b = 11. Many possibilities (29, 38, 47, 56, 65, 74, 83, 92...). Not sufficient alone. From Statement 2: Reversed number = 10b + a. Given 10b + a = (10a + b) + 27 => 10b + a = 10a + b + 27 => 9b − 9a = 27 => b − a = 3. Again multiple possibilities; not sufficient alone. Combining: a + b = 11 b − a = 3 Add the equations: 2b = 14 ⇒ b = 7. Then a = 11 − 7 = 4. So N = 47, uniquely. Thus both statements together are sufficient, neither alone.
The Indian startup ecosystem is the third largest startup ecosystem in the world, boasting impressive ____unicorns (billion-dollar enterprises).
How many days will the SARAS Mela 2026 last in Guntur?
Which of the following sectors is currently prohibited from FDI under India’s policy?
JP Morgan has decided to include government papers issued by the Reserve Bank of India (RBI) under the fully accessible route in its widely tracked emer...
Which company recently entered into a partnership with the Indian Olympic Association (IOA) as the official Principal Partner for four years?
What is the targeted number of women to benefit from the Women Entrepreneurship Program launched by NSDC?
Recently, a rainwater harvesting project in which state uncovered megalithic urn burials?
What will PM Narendra Modi grant to over 30,000 self-help groups in Varanasi?
As of October 17, 2025, India’s total foreign exchange reserves stood at:
Emergency Credit Line Guarantee Scheme (ECLGS) was launched as a part of the Atmanirbhar Bharat Abhiyan in which of the following year?
