Question Numbers (1 to 5): Every day a widget supplier supplies widgets from the warehouse (W) to four locations
– Ahmednagar (A), Bikrampore (B), Chitrachak (C), and Deccan Park (D). The daily demand for widgets in each
location is uncertain and independent of each other. Demands and corresponding probability values (in parenthesis)
are given against each location (A, B, C, and D) in the figure below. For example, there is a 40% chance that the
demand in Ahmednagar will be 50 units and a 60% chance that the demand will be 70 units. The lines in the figure
connecting the locations and warehouse represent two-way roads connecting those places with the distances (in
km) shown beside the line. The distances in both the directions along a road are equal. For example, the road from
Ahmednagar to Bikrampore and the road from Bikrampore to Ahmednagar are both 6 km long.
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.
Correct Answer
35
Explanation
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.
Correct Answer
38
Explanation
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.
Correct Answer
1
Explanation
Correct Answer
3
Explanation
Correct Answer
4
Explanation
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.
Question Numbers (6 to 10): The two plots below show data for four companies code-named A, B, C, and D over
three years - 2019, 2020, and 2021.
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.
Correct Answer
3
Explanation
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.
Correct Answer
4
Explanation
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.
Correct Answer
4
Explanation
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.
Correct Answer
4
Explanation
Correct Answer
2
Explanation
Question Numbers (11 to 15): A few salesmen are
employed to sell a product called TRICCEK among
households in various housing complexes. On each
day, a salesman is assigned to visit one housing
complex. Once a salesman enters a housing complex,
he can meet any number of households in the time
available. However, if a household makes a complaint
against the salesman, then he must leave the housing
complex immediately and cannot meet any other
household on that day. A household may buy any
number of TRICCEK items or may not buy any item.
The salesman needs to record the total number of
TRICCEK items sold as well as the number of
households met in each day. The success rate of a
salesman for a day is defined as the ratio of the number
of items sold to the number of households met on that
day. Some details about the performances of three
salesmen - Tohri, Hokli and Lahur, on two particular
days are given below.
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.
Correct Answer
84
Explanation
Total number of households met by Tohri, Hokli and Lahur on day 1 = 10 + 49 + 25 = 84.
Correct Answer
40
Explanation
Total items sold by Tohri on day 1 = 40.
Correct Answer
4
Explanation
Number of households visited by Lahur on day 2 = 25, which lies between 21 and 29.
Correct Answer
3
Explanation
Tohri visited 10 households on day 1.
Correct Answer
2
Explanation
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.
Question Numbers (16 to 20): A speciality supermarket
sells 320 products. Each of these products was either
a cosmetic product or a nutrition product. Each of these
products was also either a foreign product or a domestic
product. Each of these products had at least one of the
two approvals – FDA or EU.
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.
Correct Answer
40
Explanation
40 foreign products were FDA approved cosmetic
products.
Correct Answer
1
Explanation
60 cosmetic products did not have FDA approval.
Correct Answer
4
Explanation
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.
Correct Answer
4
Explanation
Correct Answer
50
Explanation
