A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30
km/h and the rest by cycle at 10 km/h. The average of the tourist in km/h during his entire
journey is

**A. ** 36

**B. ** 30

**C. ** 24

**D. ** 18

**Answer : ****Option C**

**Explaination / Solution: **

Let the total distance covered be ‘D’

Let the total distance covered be ‘D’

Now, average speed = D/Total time taken

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Students applying for hostel rooms are allotted rooms in order of seniority. Students already
staying in a room will move if they get a room in their preferred list. Preferences of lower
ranked applicants are ignored during allocation.
Given the data below, which room will Ajit stay in?

**A. ** P

**B. ** Q

**C. ** R

**D. ** S

**Answer : ****Option B**

**Explaination / Solution: **

As per their preferences given Amar →R Akbar → S Antony → P Ajit → Q

As per their preferences given Amar →R Akbar → S Antony → P Ajit → Q

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5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a
wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2
skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the
wall?

**A. ** 20 days

**B. ** 18 days

**C. ** 16 days

**D. ** 15 days

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

No Explaination.

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Consider the following statements relating to the level of poker play of four players P, Q,
R and S. **A. ** (i) only

**B. ** (ii) only

**C. ** (i) and (ii)

**D. ** neither (i) nor (ii)

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

I. P always beats Q

II. R always beats S

III. S loses to P only sometimes

IV. R always loses to Q

Which of the following can be logically inferred from the
above statements?

(i) P is likely to beat all the three other players

(ii) S is the absolute worst player in the set

No Explaination.

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The expected time (t_{e}) of a PERT activity in terms of optimistic time (t_{o}), pessimistic time (t_{p}) and
most likely time (t_{l})is given by

**A. ** te = (to + 4tl + tp)/6
**B. ** te = (to + 4tp+ tl)/6

**C. ** te = (to + 4tl + tp)/3

**D. ** te = (to + 4tp + tl)/3

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

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A sample of 15 data is a follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of
the data is

**A. ** 4

**B. ** 13

**C. ** 17

**D. ** 20

**Answer : ****Option C**

**Explaination / Solution: **

We know that mode is the value of the data which occurred most of 17 is mode

We know that mode is the value of the data which occurred most of 17 is mode

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Read the following table giving sales data of five types of batteries for years 2006 to 2012

**A. ** Type V

**B. ** Type III

**C. ** Type II

**D. ** Type I

**Answer : ****Option D**

**Explaination / Solution: **

Type-I achieved a growth of 53% in the period which is higher than any other type of battery

Out of the following, which type of battery achieved highest growth between the years 2006 and
2012?

Type-I achieved a growth of 53% in the period which is higher than any other type of battery

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Consider the following PERT network:

**A. ** 11

**B. ** 14

**C. ** 17

**D. ** 18

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

The optimistic time, most likely time and pessimistic time of all the activities are given in the table
below.

The critical path duration of the network (in days) is

No Explaination.

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If q^{-a} = 1/r and r^{-b} = 1/s and S^{-c} = 1/q, the value of abc is _______

**A. ** (rqs)^{-1}
**B. ** 0

**C. ** 1

**D. ** r^{+}q^{+}s^{+}
**Answer : ****Option C**

**Explaination / Solution: **

∴ a log q = log r -------(1)

And b log r = log s ------(2)

And c log s = log q -----(3)

Multiplying equations (1), (2) and (3)

abc (log q) (log r)(log s) = (log r)(log s)(log q)

∴ abc = 1

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