ILLUSTRATION 2

Directions for questions 3 to 6: Answer the following questions based on the information below:

For admission into vacant seats of higher secondary classes, most schools prescribe an admission test.

There is no uniformity in the nature of these tests, however. Anuja Sinha, Amit Agnihotri, Himesh Reshammiya, Mahima Sharma and Sonit Kala, whose parents had been transferred to Lucknow this summer and who were all seeking admission into Class 9, appeared in entrance tests of different schools. The number of questions in all these tests happened to be different. Amit wrote an entrance test containing exactly twice as many questions as the test that Himesh wrote, Sonit wrote a test that contained 160 questions but it was neither for admission into City Montessori School’s nor for Scindia School. Delhi Public School test contained 200 questions but neither Himesh nor Mahima wrote this test. City Montessori School test had 120 questions but it was not written by Himesh. The test that Mahima Sharma wrote had 25% less questions than the test Amit Agnihotri wrote but it was not for City Montessori School and Scindia School.

Anuja did not write Millennium School’s or Saint Mary’s Convent’s test. When all the tests are compared with regard to number of questions in them, St. Mary’s Convent falls exactly in the middle of the list. Each of the five students wrote exactly one of the tests - the longest one of which contained 200 questions. There is no penalty for wrong answers.

3. Anuja Sinha wrote the test for admission into which school?

(a) Scindia

(b) Sanskar Valley

(d) Delhi Public School

4. If Amit Agnihotri secured only 50 per cent marks in the test, each question carrying one mark, how many marks did he secure in this test?

(a) 50 (b) 60

5 Ifboth Sonit and Amit secured equal marks in their respective tests and the test Sonit wrote carried 5 marks per question, how many marks did each question in Amifs test carry? It is given that both Amit and Sonit answered 75% questions of their respective tests correctly.

Wrong answers did not fetch any marks.

(a) 1 (b) 2.5

6. Which of the following combinations is true?

(a) Anjua Sinha - CityMontessori School - 180 Questions

(b) Amit Agnihotri - Millennium School - 160 Questions

(d) Mahima Sharma - Scindia School - 150 Questions

Solution: Reaction Tracker

With respect to the number of questions in each test it can be inferred that the number of questions are 200,120,160. Two values are unknown and to compensate for them we have been given that the number of questions in the tests of Amit Agnihotri would be (2x), Himesh Reshammiya (x) and Mahima Sharma (1.5x). The starting table for this situation would be:

Fromthe table it is clear that DPS (200) and CMS (120) are shared between Anuja and Amit. This means two possibilities - Anuja 120 and Amit 200 or Amit 120 and Anuja 200. If we take the second possibility into account things would not work out because: IfAmit is 120, the missing numbers are 90 (25% less for Mahima) and 60 (Amit’s test had twice Himesh’s test). Then the number of questions placed in ascending order would be: 60, 90, 120 (CMS), 160, 200 (DPS). This situation contradicts the condition that when all the tests are compared as to number of questions in them, St. Mary’s Convent falls exactly in the middle of the list.

Thus, we must consider the other option, i.e., Amit had 200 questions and Anuja 120. Then the number of questions is 200, 160, 150 (Mahima), 120, 100. The table would now Iookas follows:

The solutions are:

3. CMS. Option (c) is correct.

4. He would score 100 marks. Option (c) is correct.

5. Sonit & Amit would score 600 marks out of 800 (The total marks would be 800 because Sonifs test has 160 questions of 5 marks each totaling 800). Hence, Amifs score would also be out of 800 marks—4 marks per question. Option (d) is correct.

6. Option (c) is correct.

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Source: Arun Sharma. How to prepare for Logical Reasoning for the CAT. McGraw-Hill Education series,2012. — 1111 p.. 2012

ILLUSTRATION 2

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