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

  1. 2.5 sq units
  2. 10 sq units
  3. 7 sq units
Show Answer
Answer: Option B Explanation:Let us first draw y = |x|. capture10                      
  Now, y = |x – 1| is just a shift of ‘1’ unit to the right along the x–axis.
  capture11                        
Now, y = |x – 1| + 2 is a shift of ‘2’ units to the top along the y–axis. capture12
                          Now, let us complete the diagram by drawing the line x = 1 also. capture13                           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
[/vc_column_text][vc_column_text]2. The following table gives the enrollment in Higher Secondary Schools in 1978. Study the table carefully and answer these questions. Capture14                     What is the approximate percentage of schools, where the enrolment was below 120? [A] 59.16 [B] 59.27 [C] 60 [D] 61 Show Answer
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%
[/vc_column_text][vc_column_text]3. B, M, T, R, K, H and D are travelling in a train compartment with III tier sleeper berth. Each of them has a different profession of Engineer, doctor, Architect, Pharmacist, Lawyer, journalist and Pathologist. They occupied two lower berths, three middle berths and two upper berths. B, the Engineer is not on the upper berth. The architect is the only other person who occupies the same type of berth as that of B.M and H are not on the middle berth and their professions are Pathologist and Lawyer respectively. T is a Pharmacist. D is neither a journalist nor an Architect. K occupies same type of berth as that of the Doctor. Question 1: What is D’s profession? (a) Doctor (b) Engineer (c) Lawyer (d) Pharmacist Question 2: Which of the following group occupies middle berth? (a) DKR (b) DHT (c) HKT (d) DKT Question 3: Which of following combination of person-berth-profession is correct? (a) R-Lower-Journalist (b) R-Lower-Architect (c) D-Upper-Doctor (d) K- Upper- Lawyer Question 4: Which of the following pairs occupy the lower berth? (a) BD (b) BK (c) BT (d) None of these Question 5: Who is the Architect? (a) D (b) H (c) R (d) Data inadequate Show Answer
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
  capture15
                  Now berth vise arrangement is difficult to find than the profession vise manner But as we see the given information we come to know that the architect is the only other person who occupies the same type of berth as that of B and we know that B is not in the upper berth so he is in lower berth with R. M and H are not on the middle berth and their professions are Pathologist and Lawyer respectively. Clearly they are in Upper berth and the left persons are in Middle berth So, from the above information, we can draw a combined chart of the personas with their professions and berths:  capture16                   Answer 1: (a) Doctor Answer 2: (d) DKT Answer 3: (b) R-Lower-architect Answer 4: (d) None of these Answer 5: (c) R[/vc_column_text][vc_column_text]4. Now the audience is a very curious animal. It is shrewd rather than intelligent. Its mental capacity is less than that of its most intellectual members. If these were graded from A to Z, decreasing with succeeding letters to the zero of the hysterical shop-girl, I should say its mental capacity would come around about the letter O.According to the above statements. [A] Some members in the audience are more intelligent than any of its other members. [B] The net intelligence of the audience is a little less than average. [C] Only 1 [D] Only 1 and 2   Show Answer
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”    
[/vc_column_text][vc_column_text]5. Which IIT institute has inked pact with Madhya Pradesh for measuring happiness index? [A] IIT Kharagpur [B] IIT Bombay [C] IIT Madras [D] IIT Indore Show Answer
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.
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