Question
In each of the following questions, five sentences are
given in which only four sentences will make a coherent paragraph after rearrangement. Find the correct sequence and mark that as your answer. A. Entrepreneurship involves identifying opportunities in the market.  B. Managing personal finances requires careful planning to ensure that income covers all essential expenses. C. Each month, it is important to track sources of income, such as salary or business earnings, and compare them against regular expenses like rent, groceries, and bills. D. Setting aside a part of income as savings helps prepare for unexpected costs and future goals, such as buying a house or education. E. Keeping a simple budget and reviewing it regularly can help avoid overspending and build financial stability over time.Solution
The coherent paragraph focuses on managing personal finances, with Sentence A being the odd one out as it discusses entrepreneurship. The correct sequence for the paragraph is BDEC: • (B) introduces the main topic: managing personal finances requires careful planning. • (D) and (E) detail crucial steps: setting aside savings and keeping a budget to achieve stability. • (C) elaborates on the planning process: tracking income and comparing it to expenses
I. 6x² - 23x + 7 = 0
II. 6y² - 29y + 9 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 6x² - 24x + 18 = 0
Equation 2: 5y² - 20y + 15 = 0
I. 4x² - 21 x + 20 = 0
II. 8y² - 22 y + 15 = 0
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
If x and y satisfy x² + y² = 25 and x + y = 7, find xy.
I. x2 – 3(x + 5) = -11
II. y2 – 4(y + 2) = -2y
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then...
The nth term of a sequence is n² + 3n + 1. Find the difference between the 20th and 10th terms.
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