Question
Quantity I:Â A three-digit
number 'x' is transformed into another three-digit number 'y' by swapping the digits at the unit and hundredth places. The difference between 'x' and 'y' is 198, and the digit in the tens place remains 8. How many different values can 'x' take? Quantity II:Â A girl can complete a task in 15 days, while a boy takes 25 days to finish the same task. A child's efficiency is 50% that of a girl. If a group consisting of 6 children and 5 boys takes 4x days to complete a task that 12 girls can finish in 16 days, determine the value of 'x'. In the question, two quantities i.e. Quantity I and Quantity II are given. Solve the given quantities to establish the correct relation between them and choose the correct option.Solution
ATQ, Quantity I, Let x = 100a + 80 + b y = 100b + 80 + a If a > b x - y = 198 (100a + 80 + b) - (100b + 80 + a) = 198 99a - 99b = 198 a - b = 2 (a, b) = (9, 7), (8, 6), (7, 5), (6, 4), (5, 3), (4, 2), (3, 1) If a < b y - x = 198 (100b + 80 + a) - (100a + 80 + b) = 198 99b - 99a = 198 b - a = 2 (b, a) = (9, 7), (8, 6), (7, 5), (6, 4), (5, 3), (4, 2), (3, 1) Number of Possible values of x = 7 + 7 = 14 Quantity II, Woman --> 15         5               } 75 { Man -->    25         3 Efficiency of Child = 5 × 0.5 = 2.5 (6 × 2.5 + 5 × 3) × 4x = 12 × 5 × 16 (15 + 15) × x = 3 × 5 × 16 2x = 16 x = 8 Quantity I > Quantity II
Investment and savings are kept equal through changes in which of the following?Â
Which sector contributes the most to India's GDP?
What describes 'Disguised unemployment' accurately? Â
The annual rate of growth of GDP has been the lowest in which Five Year Plan?
Which of the following is not an investment expenditure in goods and services?
What is the minimum maturity period for which Commercial Paper (CP) can be issued?
What type of investment are Treasury Bills (T-bills)?
Which organization publishes the World Economic Outlook report.
The act of stimulating the economy by increasing the money supply or by reducing taxes, seeking to bring the economy back up to the long-term trend, fo...
During periods of inflation, tax rates shouldÂ
Relevant for Exams:
