som.iitb.ac.in SJMSOM Ph.D. Entrance Test Model Question Paper : Shailesh J. Mehta School of Management

Name of the University : Shailesh J. Mehta School of Management, IIT Bombay
Exam : SJMSOM Ph.D. Entrance Test
Document Type : Model Question Paper
Website : http://www.som.iitb.ac.in
Download Sample Question Paper : https://www.pdfquestion.in/uploads/23843-phdpaper.pdf

SJMSOM Ph.D. Entrance Test Question Paper

Time: 1.30 hour
Maximum Marks: 60

Related : Indian Institute of Technology Humanities & Social Sciences PhD Entrance Exam English Question Paper : www.pdfquestion.in/23715.html

General Instructions

1. This test booklet contains four sections with a total of 60 questions.
2. Each section has 15 questions with each carrying one mark.
3. Answers are to be written in the last sheet of the test booklet by giving the appropriate choice among the given options.
4. All Sections are compulsory.
5. For every incorrect answer, there will be a negative marking of -1/2.
6. Calculators and mobile phones are not allowed.
7. All rough work should be done only on the blank pages provided for this purpose.

Sample Question Paper

Section I – English Comprehension

Questions 1 and 2 are based on the following passage.

Consider the humble jellyfish. Headless, spine-less, without a heart or brain, it has such a simple exterior that it seems the most primitive of creature. Unlike its sessile (attached to a surface, as an oyster is attached to its shell) relatives whose stalks cling to seaweed or tropical coral reefs, the free-swimming jellyfish, or medusa, drifts along the ocean shore, propelling itself by pulsing, muscular contractions of its bell-shaped body. Yet beneath the simple surface of this aimlessly drifting, supposedly primitive creature is an unusually sophisticated set of genes, as recent studies of the invertebrate animal phylum Cnidaria reveal.
1) Which assertion about jellyfish is supported by the passage?
A) They move at rapid rate.
B) They are cowardly.
C) They have lack mobility.
D) They have a certain degree of intelligence.
E) They are unexpectedly complex.

2) The last sentence of the passage serves primarily to
A) explain the origin of a term
B) contradict an assumption
C) provide an example
D) cite a well- known fact
E) describe a process

Questions 3 – 6: Each of the following sentences contains one or two blanks; each blank corresponds to a word or a set of words that has been left out. Select the alternative from the ones given below each sentence that best complete the sentence
3) Those interested in learning more about how genetics applies to trees will have to _______ the excellent technical journals where most of the pertinent material is ________.
A) subscribe to … ignored
B) suffer through … located
C) rely on … unrepresented
D) resort to… found
E) see through … published

4) Rent control restrictions on small apartment owners may unfortunately _______ rather than alleviate housing problems.
A) resolve; B) diminish; C) castigate; D) minimize; E) exacerbate

Questions: Choose the correct alternative
5. COMMAND: REQUEST
(A) presume: inquire
(B) recommend: propose
(C) summon: invite
(D) refuse: rebel
(E) authorize: permit

Section II – Logical Reasoning

(Q11-20)
Answer questions 6-7, based on the following information :
The office staff of an organization presently consists of three accountants (A, B and C) and five secretaries (D, E, F, G and H). Management is planning to open a new office in another city using three secretaries and two accountants of the present staff. To do so they plan to separate certain individuals who do not function well together. The following guidelines were established to set up the new office.
Accountants A and C are constantly finding fault with one another and should not be sent as a team to the new office.
C and E function well alone but not as a team. They should be separated.
D and G have not been in speaking terms for many months. They should not go together.
Since D and F have been competing for promotion, they should not be a team.

6. If A is to be moved as one of the accountants, which of the following CANNOT be a possible working unit?
(A) ABDEH
(B) ABDGH
(C) ABEFH
(D) ABEGH

7. If C and F are moved to the new office, how many combinations are possible?
(A) 1
(B) 2
(C) 3
(D) 4

8. In a code, South-East becomes West; North-East becomes South and so on. What will West become?
(A) South-East.
(B) East
(C) North-East
(D) North

Section III – Quantitative

9. If the point (3, y) lies on the line joining (0, 3/2) and (9/4, 0), then y =
A. -7/2
B. -2
C. -1/2
D. 1/2
E. 3/2

10. If both a and b belong to the set {1,2,3,4}, then the number of equations of the form ????2+????+1=0 having real roots is
A. 6
B. 7
C. 10
D. 12

11. Three mangoes and three apples are in box. If two fruits are chosen at random, the probability that one is a mango and other is an apple is
A. 2/3
B. 3/5
C. 1/3
D. None of these

12. A box contains fifteen cards numbered consecutively from 1 to 15. If 9 cards are taken random from this box without replacement, what is the probability that the median of the numbers selected is 7?
A. 6/143
B. 30/143
C. 8/121
D. 5/19
E. None of these

Section IV – Data Interpretation

13. w, x, y and z, are market shares of four players in the Indian aviation industry. Who has the largest market share?
(1) y < z < x
(2) x had a market share of 25 percent
A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

14. What is the average (arithmetic mean) of x and y?
(1) x/2 + y/2 = 10
(2) x = 2y
A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements

15. In which of the following years was the production of cars more than 50% of the total production?
(A) 2000
(B) 2001
(C) 1998
(D) 1996

16. Find the total number of automobiles exported in the year 1999:
(A) 2, 27,600
(B) 2, 07,600
(C) 2, 17,600
(D) 2, 20,000

17. Find the ratio of cars, scooters and motorbikes exported in 1996:
(A) 25:16:19
(B) 16:25:19
(C) 19:16:25
(D) 6:5:1