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.
A is cycling at an average speed of 24 km/hr such that he can reach a certain point at 12 noon. If he cycles at 40 km/hr, then he will reach the destina...
In what ratio rice at 47 Rs/kg should be mixed with the rice at 28 Rs/kg so that selling mixture at Rs 45 per kg gives the profit of 25% if the quantity...
What distance will a wheel with a radius of 14 cm cover after completing 10 revolutions?
In a Mixture, the ratio of Milk and Water is 7: 5. If 12 litre mixture drawn off and replace by 8 litre water then the ratio of Milk and Water become 1...
‘D’ and ‘E’ can complete a project in 40 days, while ‘E’ and ‘F’ can complete it in 60 days. ‘D’ and ‘E’ worked together on it f...
In what ratio rice at 44 Rs/kg should be mixed with the rice at 28 Rs/kg so that selling mixture at Rs 42 per kg gives the profit of 20% if the quantity...
The three digits of a three-digit number are in the ratio 3:2:5. If 111 is added to this number, what is the sum of the digits of the resulting number?
In what ratio rice at 52 Rs/kg should be mixed with the rice at 36 Rs/kg so that selling mixture at Rs 50 per kg gives the profit of 25% if the quantity...
How much groundnut powder at Rs. 90 a kg. should be added to 56 kg. of cashew powder at Rs.310 a kg. so that by selling the mixture for Rs. 280 a kg...
What is the single discount percentage equivalent to three consecutive discounts of 10%, 25%, and 18%?
