DILR Practice Set – 3
Refer to the data below and answer the ques ons that follow.
IMS Pvt. Ltd. organized an annual picnic for which all its staff members had to register their responses (on day 1) as ‘Yes’ or ‘No’ i.e. whether they did/ did not want to a end the picnic. The staff members were allowed to change their responses (i.e., from ‘Yes’ to ‘No’ or from ‘No’ to ‘Yes’) if they wished to change their responses. However, they could change their responses only once on day 2. The following bar chart gives informa on about the responses of the staff from 4 different regions where IMS runs its opera ons.
The total number of staff members in each of Mumbai and Aurangabad regions was 800 while that in Pune and Nagpur was 600 and 700 respectively. For Mumbai, Pune, Nagpur and Aurangabad; out of the staff who responded as ‘Yes’ on day 1; percentage of the staff who changed their responses to ‘No’ on day 2 is 60%, 50%, 70% and 60% respectively
Please ensure your answer is entered accurately. Double-check your work.
1. How many final responses from Pune were registered as 'Yes'? Enter your response (as an integer) using the virtual keyboard in the box provided below.
For Mumbai, Day 1: Number of staff members who responded as 'Yes' = 0.4 × 800 = 320 Number of staff members who responded as 'No' = 480 Day 2: Number of staff members who changed from 'No' on day 1 to 'Yes' on day 2 = 0.7 × 480 = 336 Number of staff members who changed from 'Yes' on day 1 to 'No' on day 2 = 0.6 × 320 = 192 Final number of 'Yes' responses = 320 – 192 + 336 = 464 Final number of 'No' responses = 480 – 336 + 192 = 336 For Pune, Day 1: Number of staff members who responded as 'Yes' = 0.9 × 600 = 540 Number of staff members who responded as 'No' = 60 Day 2: Number of staff members who changed from 'No' on day 1 to 'Yes' on day 2 = 0.15 × 60 = 9 Number of staff members who changed from 'Yes' on day 1 to 'No' on day 2 = 0.5 × 540 = 270 Final number of 'Yes' responses = 540 –270 + 9 = 279 Final number of 'No' responses = 60 – 9 + 270 = 321 Similarly the final number of 'Yes' and 'No' responses for the other regions can be calculated and the final results can be tabulated as follows: 
Thus, the required answer is 279.
Thus, the required answer is 279.Please ensure your answer is entered accurately. Double-check your work.
2. What is the difference between the number of final 'Yes' response from Mumbai and Aurangabad? Enter your response (as an integer) using the virtual keyboard in the box provided below
For Mumbai, Day 1: Number of staff members who responded as 'Yes' = 0.4 × 800 = 320 Number of staff members who responded as 'No' = 480 Day 2: Number of staff members who changed from 'No' on day 1 to 'Yes' on day 2 = 0.7 × 480 = 336 Number of staff members who changed from 'Yes' on day 1 to 'No' on day 2 = 0.6 × 320 = 192 Final number of 'Yes' responses = 320 – 192 + 336 = 464 Final number of 'No' responses = 480 – 336 + 192 = 336 For Pune, Day 1: Number of staff members who responded as 'Yes' = 0.9 × 600 = 540 Number of staff members who responded as 'No' = 60 Day 2: Number of staff members who changed from 'No' on day 1 to 'Yes' on day 2 = 0.15 × 60 = 9 Number of staff members who changed from 'Yes' on day 1 to 'No' on day 2 = 0.5 × 540 = 270 Final number of 'Yes' responses = 540 –270 + 9 = 279 Final number of 'No' responses = 60 – 9 + 270 = 321 Similarly the final number of 'Yes' and 'No' responses for the other regions can be calculated and the final results can be tabulated as follows: The required difference is = 464 – 336 = 128. Therefore, the required answer is 128.
The required difference is = 464 – 336 = 128. Therefore, the required answer is 128.Please ensure your answer is entered accurately. Double-check your work.
3. For which city the number of final responses was registered as 'No' was the least?
Correct Answer: B (Pune) - For Mumbai, Day 1: Number of staff members who responded as 'Yes' = 0.4 × 800 = 320 Number of staff members who responded as 'No' = 480 Day 2: Number of staff members who changed from 'No' on day 1 to 'Yes' on day 2 = 0.7 × 480 = 336 Number of staff members who changed from 'Yes' on day 1 to 'No' on day 2 = 0.6 × 320 = 192 Final number of 'Yes' responses = 320 – 192 + 336 = 464 Final number of 'No' responses = 480 – 336 + 192 = 336 For Pune, Day 1: Number of staff members who responded as 'Yes' = 0.9 × 600 = 540 Number of staff members who responded as 'No' = 60 Day 2: Number of staff members who changed from 'No' on day 1 to 'Yes' on day 2 = 0.15 × 60 = 9 Number of staff members who changed from 'Yes' on day 1 to 'No' on day 2 = 0.5 × 540 = 270 Final number of 'Yes' responses = 540 –270 + 9 = 279 Final number of 'No' responses = 60 – 9 + 270 = 321 Similarly the final number of 'Yes' and 'No' responses for the other regions can be calculated and the final results can be tabulated as follows: Hence, [2].
Hence, [2].Please ensure your answer is entered accurately. Double-check your work.
4. The staff members going for the picnic had to share their rooms, with 4 people in each room. Also, a person does not share a room with anyone who is not from his/her region. Then what is the minimum number of rooms that IMS must book?
Correct Answer: C (351) - For Mumbai, Day 1: Number of staff members who responded as 'Yes' = 0.4 × 800 = 320 Number of staff members who responded as 'No' = 480 Day 2: Number of staff members who changed from 'No' on day 1 to 'Yes' on day 2 = 0.7 × 480 = 336 Number of staff members who changed from 'Yes' on day 1 to 'No' on day 2 = 0.6 × 320 = 192 Final number of 'Yes' responses = 320 – 192 + 336 = 464 Final number of 'No' responses = 480 – 336 + 192 = 336 For Pune, Day 1: Number of staff members who responded as 'Yes' = 0.9 × 600 = 540 Number of staff members who responded as 'No' = 60 Day 2: Number of staff members who changed from 'No' on day 1 to 'Yes' on day 2 = 0.15 × 60 = 9 Number of staff members who changed from 'Yes' on day 1 to 'No' on day 2 = 0.5 × 540 = 270 Final number of 'Yes' responses = 540 –270 + 9 = 279 Final number of 'No' responses = 60 – 9 + 270 = 321 Similarly the final number of 'Yes' and 'No' responses for the other regions can be calculated and the final results can be tabulated as follows: Rooms required for Mumbai staff = 464/4 = 116 Rooms required for Pune staff = 279/4 = 69.75 i.e. 70 Rooms required for Nagpur staff = 322/4 = 80.5 i.e., 81 Rooms required for Aurangabad staff = 336/4 = 84 Total number of rooms required = 116 + 70 + 81 + 84 = 351. Hence, [3].
Rooms required for Mumbai staff = 464/4 = 116 Rooms required for Pune staff = 279/4 = 69.75 i.e. 70 Rooms required for Nagpur staff = 322/4 = 80.5 i.e., 81 Rooms required for Aurangabad staff = 336/4 = 84 Total number of rooms required = 116 + 70 + 81 + 84 = 351. Hence, [3].CAT Questions | Quantitative Topics
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