CAT 2019 Slot 1 — DILR Question 8
Answer the following question based on the information given below.
The Ministry of Home Affairs is analysing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016.
The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.
The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes. A state/UT is given rank r for a category of crimes if there are (r−1) states/UTs having a larger number of cases registered in that category of crimes. For example, if two states have the same number of cases in a category, and exactly three other states/UTs have larger numbers of cases registered in the same category, then both the states are given rank 4 in that category. Missing ranks in the table are denoted by *.
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What is the sum of the ranks of Delhi in the three categories of crimes?
Answer & solution
Answer: 5
The approximate values in the bar chart can be tablated as follows.
Following table is sorted list for all three crime categories where in each category, states are arrranged in descending order (from top to bottom) according to the number of cases. The 'Rank' column determines the rank of each state among all states/UTs of India.
Observe that in IPC crimes category, Maharashtra and Karnataka are ranked 3. So Delhi and Goa would be ranked 1 and 2 respectively.
In Other crimes category, Delhi is clearly ranked 1 as it has the highest number of cases.
In SLL crimes category, West Bengal and Karnataka are ranked 1 and 2 respectively. Since Goa and Maharashtra have been ranked 4. Also Delhi's number of cases (36) is lesser than that of Karnataka (49), so Delhi cannot be ranked 2. So it has to be ranked 3. Please note that Delhi having 36 cases was an approximate value.
Required sum = 1 + 3 + 1 = 5.
Hence, 5.