Section-1

Every day the supplier gets the information about the demand values of the four locations and creates the travel route that starts from the warehouse and ends at a location after visiting all the locations exactly once. While making the route plan, the supplier goes to the locations in decreasing order of demand. If there is a tie for the choice of the next location, the supplier will go to the location closest to the current location. Also, while creating the route, the supplier can either follow the direct path (if available) from one location to another or can take the path via the warehouse. If both paths are available (direct and via warehouse), the supplier will choose the path with minimum distance.

35

Given that the last location is Ahmednagar, which
means that the demand at A was the least among
the four locations.

So the demand at A is 50. Then demand at B will
be 60 and demand at D will be 50 (because these
values cannot be less than the demand at A).
Demand at C can be either 70 or 100, whichever
be the case he will go from the warehouse to C
first, thereby c traveling 12 km. From C he will go
the the location with the next highest demand,
which is B, thereby covering 4 km. Then he will go
to D and cover (10 + 2 =) 12 km. Finally he will go
to A, taking the path with the least distance,
thereby covering (2 + 5 =) 7 km.

Total distance covered = 12 + 4 + 12 + 7 = 35 km.

38

Given that the total number of widgets delivered is
250. The maximum possible number of widgets
delivered can be 280 and the minimum possible
number is 190. Note that 250 is 30 less than 280.
Also the minimum and maximum demand in three
out of four locations differ by 20 whereas in C it
differs by 30. So the only possible way in which
250 widgets are delivered is:

A(70), B(6), C(70) and D(50). The first location
visited is A, then C, Third is B and last location
is D.

Distance covered = 5 + 5 + 12 + 4 + 10 + 2
= 38 km.

1

3

4

Given that A is not the first location to be visited,
this means that C is definitely visited first. The
only route that will have a total distance of 29 km
is C-B-A-D. The demand at C may be 100 or 70, at
B it is 60, at A it is 50 and at D it may be 30 or 50.
The total distance covered is 12 + 4 + 6 + 5 + 2
= 29 km. So the total number of widgets delivered
can be 210, 230, 240 or 260.

Hence, 210 is a possible number of widgets that
was delivered on that day.

The first plot shows the revenues and costs incurred by the companies during these years. For example, in 2021, company C earned Rs.100 crores in revenue and spent Rs.30 crores. The profit of a company is defined as its revenue minus its costs.

The second plot shows the number of employees employed by the company (employee strength) at the start of each of these three years, as well as the number of new employees hired each year (new hires). For example, Company B had 250 employees at the start of 2021, and 30 new employees joined the company during the year.

3

Let us calculate the profit for all the three years for the four companies:

A = 90 + 90 + 60 – 85 – 65 – 60 = 30

B = 100 + 90 + 30 – 75 – 40 – 30 = 75

C = 25 + 70 + 100 – 20 – 60 – 30 = 85

D = 50 + 20 + 70 – 40 – 50 – 70 = –20

So the highest profit was for Company C.

4

A company will be at a loss only if Cost is higher than revenue.

We can see from the table that this happens only in the case of Company D in 2020.

4

The ratio of each company’s annual profit to its annual costs in 2019:

A = 5/85 = 1/17; B = 25/75 = 1/3; C = 5/20 = 1/4; D = 10/40 = 1/4

Hence, the lowest value of this ratio is for Company A.

4

2

1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items.

2. On both days, Lahur met the same number of households and sold the same number of items.

3. Hokli could not sell any item on the second day because the first household he met on that day complained against him.

4. Tohri met 30 more households on the second day than on the first day.

5. Tohri’s success rate was twice that of Lahur’s on the first day, and it was 75% of Lahur’s on the second day.

84

Total number of households met by Tohri, Hokli and Lahur on day 1 = 10 + 49 + 25 = 84.

40

Total items sold by Tohri on day 1 = 40.

4

Number of households visited by Lahur on day 2 = 25, which lies between 21 and 29.

3

Tohri visited 10 households on day 1.

2

Let us go by options (observe the success rates in the above table):

(1) Tohri had a higher success rate on the first day compared to the second day. This is true.

(2) Among the three, Tohri had the highest success rate on the second day. This is false.

(3) Among the three, Lahur had the lowest success rate on the first day. This is true.

(4) Among the three, Tohri had the highest success rate on the first day. This is true.

The following facts are also known:

1. There were equal numbers of domestic and foreign products.

2. Half of the domestic products were FDA approved cosmetic products.

3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals.

4. There were 140 nutrition products, half of them were foreign products.

5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products.

40

40 foreign products were FDA approved cosmetic
products.

1

60 cosmetic products did not have FDA approval.

4

Since a + x = 80 and x + y = 60

Therefore, x can be maximum 60.

and because b + y = 50, y can be 50 max,

which implies b can be 0, x can be 10, a can be
minimum 70.

So x can be at least 10 and at most 60.

4

50