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CAT 2025 Lesson : DILR: May '25 to Jun '25 - Live Solving - 25 Jun 2025
Read the following and answer the questions that follow
The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarter-wise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December) of that year.
1) What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?
(1) 28.57
(2) 38.46
(3) 50.00
(4) 22.22
2) In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?
(1) Q2
(2) Q1
(3) Q3
(4) Q4
3) During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?
(1) Q2 of 2016
(2) Q1 of 2017
(3) Q2 of 2017
(4) Q4 of 2017
4) During which month was the percentage increase in sales from the previous month’s sales the highest?
(1) October of 2017
(2) March of 2016
(3) October of 2016
(4) March of 2017
Read the following and answer the questions that follow
Fun Sports (FS) provides training in three sports – Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:
1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.
2. There are a total of 17 students enrolled in G.
3. The number of students enrolled only in G is one less than the number of students enrolled only in L.
4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.
5. The maximum student enrollment is in L.
6. Ten students enrolled in G are also enrolled in at least one more sport.
5) What is the minimum number of students enrolled in both G and L but not in K?
Answer:
6) If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?
(1) 18
(2) 19
(3) 22
(4) 17
7) Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and K?
Answer:
8) Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?
(1) 6
(2) 5
(3) 7
(4) 8
Read the following and answer the questions that follow
There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country. Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below:
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
9) The brand that had the highest revenue in 2016 is:
(1) Dipq
(2) Cxqi
(3) Azra
(4) Bysi
10) The brand that had the highest profit in 2016 is
(1) Cxqi
(2) Bysi
(3) Dipq
(4) Azra
11) The brand that had the highest profit in 2017 is:
(1) Azra
(2) Bysi
(3) Dipq
(4) Cxqi
12) The complete list of brands whose profits went up in 2017 from 2016 is:
(1) Azra, Bysi, Dipq
(2) Cxqi, Azra, Dipq
(3) Azra, Bysi, Cxqi
(4) Bysi, Cxqi, Dipq
The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarter-wise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December) of that year.
1) What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?
(1) 28.57
(2) 38.46
(3) 50.00
(4) 22.22
2) In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?
(1) Q2
(2) Q1
(3) Q3
(4) Q4
3) During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?
(1) Q2 of 2016
(2) Q1 of 2017
(3) Q2 of 2017
(4) Q4 of 2017
4) During which month was the percentage increase in sales from the previous month’s sales the highest?
(1) October of 2017
(2) March of 2016
(3) October of 2016
(4) March of 2017
Read the following and answer the questions that follow
Fun Sports (FS) provides training in three sports – Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known:
1. The number of students enrolled only in L is double the number of students enrolled in all the three sports.
2. There are a total of 17 students enrolled in G.
3. The number of students enrolled only in G is one less than the number of students enrolled only in L.
4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L.
5. The maximum student enrollment is in L.
6. Ten students enrolled in G are also enrolled in at least one more sport.
5) What is the minimum number of students enrolled in both G and L but not in K?
Answer:
6) If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L?
(1) 18
(2) 19
(3) 22
(4) 17
7) Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and K?
Answer:
8) Due to academic pressure, students who were enrolled in all three sports were asked to withdraw from one of the three sports. After the withdrawal, the number of students enrolled in G was six less than the number of students enrolled in L, while the number of students enrolled in K went down by one. After the withdrawal, how many students were enrolled in both G and L?
(1) 6
(2) 5
(3) 7
(4) 8
Read the following and answer the questions that follow
There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country. Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below:
In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016.
9) The brand that had the highest revenue in 2016 is:
(1) Dipq
(2) Cxqi
(3) Azra
(4) Bysi
10) The brand that had the highest profit in 2016 is
(1) Cxqi
(2) Bysi
(3) Dipq
(4) Azra
11) The brand that had the highest profit in 2017 is:
(1) Azra
(2) Bysi
(3) Dipq
(4) Cxqi
12) The complete list of brands whose profits went up in 2017 from 2016 is:
(1) Azra, Bysi, Dipq
(2) Cxqi, Azra, Dipq
(3) Azra, Bysi, Cxqi
(4) Bysi, Cxqi, Dipq
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