1. What is the area enclosed in the region defined by y = |x – 1| + 2, line x = 1, X–axis and Y–axis? a) 5 sq units
- 2.5 sq units
- 10 sq units
- 7 sq units
Answer: Option B Explanation:Let us first draw y = |x|.
Now, let us complete the diagram by drawing the line x = 1 also. The required area is essentially the area of the shaded region. The point of intersection of y = |x – 1| + 2 where the y–axis can be found by substituting x = 0 in the equation. Thus we get y = 3. Required area = Area of the trapezium formed by the points (0, 0), (1, 0), (1, 2) and (0, 3). Area of a trapezium = 12 × height × sum of the parallel sides = 12 × 1 × (3 + 2) = 52 sq units. Answer choice (B) Correct Answer: 2.5 sq units
Answer: Option A Explaination: Percentage of schools where enrolment is below 120 are given by: =(526+620+674+717+681/5439)×100 =(3218/5439)×100 =59.16%
Answer: Option A Explaination: Analysis From the above given information, we can identify all the persons along with their professions accept R and K. From the given information R may be a Journalist or Architect. But if we see the given information deeply, we come to know that 6he architect is the only other person who occupies the same type of berth as that of B. Only person means no other person rather than the architect and K occupies same type of berth as that of the Doctor. That means K cannot be architect because he got the same berth as D. Lastly, we come to know that the K is a journalist and R is an architect
Answer: Option D Explaination: both options 1 and 2 option 1 can be inferred from the lines”Its mental capacity is less than that of its most intellectual members” option 2 can be inferred from the lines “If these were graded from A to Z, decreasing with succeeding letters to the zero of the hysterical shop-girl”
Answer: Option A Explaination: The Madhya Pradesh Government has signed Memorandum of Understanding (MoU) with IIT Kharagpur’s Rekhi Centre of Excellence for the Science of Happiness to collaborate on the development of a Happiness Index for measuring the well-being of the people of the state. The Happiness index would be developed by IIT-KGP and the data collected by the state government would be analyzed to assess the happiness levels of people of the state and to suggest recommendations to enhance happiness levels in the state. A door-to-door survey will be conducted for the purpose and people will be made to fill up questionnaire. The process will start from January 2018 and by the time of assembly elections in the state 2018, people will get to know how happy they are.