Test: CAT Logical Reasoning & Data Interpretation- 1 - CAT MCQ

There are 5 ladies whose weights are 50 or above
There ages are 50, 50, 70, 60 and 80
Average = 310/5 = 62

Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination. This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate. Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores. We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores. 
For Alva: best 3 out of 4 - 80(English), 75(Hindi), 75(Science)
Avg. = 230/3 = 76.67 ≠​  70
For Carl: best 3 out of 4 - 80(Hindi), 90(Social Science), 100(Science)
Avg. = 270/3 = 90 which matches the given value  
∴  Carl most likely missed his Mathematics examination.
For Foni: best 3 out of 4 - 83(English), 83(Social Science), 88(Science)
Avg. = 254/3 = 84.67 ≠  78
Hence, we observe that only Carl has missed his Mathematics examination. Hence, Option B is the correct answer.

Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination. This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate. Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores. We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores. After estimating the average scores for the rest of the candidates, we observe that only Carl has missed his Mathematics examination.
For Carl: best 3 out of 4 - 80(Hindi), 90(Social Science), 100(Science)
Avg. = 270/3 = 90 which matches the given value
 ∴  Carl missed his Mathematics examination.
Further, based on Condition III, we can surmise that the student who missed Hindi and Science should have similar average scores in these two subjects. We notice that Alva has the same score of 75 in both Hindi and Science. The same can be said about Deep, who has a score of 90 in both these subjects. Thus, one out of Alva and Deep missed out on Hindi and Science examination, while the second individual missed out only on the Hindi examination. 
Since we know that Carl, Alva and Deep are unlikely to have missed out on the English exam, we can divert our attention to determining which individual out of Bithi, Esha and Foni failed to appear for this subject. However, we notice that Bithi's English score is greater than the rest of her scores, thereby helping us eliminate her as the potential candidate. 
For Esha:  best 3 out of 4 - 85(Hindi), 95(Mathematics), 60(Science)
Avg. = 240/3 = 80 which matches the given value
∴  Esha most likely missed her English examination.
For Foni: best 3 out of 4 - 78(Mathematics), 83(Social Science), 88(Science)
Avg. = 249/3 = 83 which matches the given value 
∴  Foni most likely missed her English examination.
Based on Condition I, we know that exactly two candidates missed the examinations for English, Hindi, Science, and Social Science.
For English, we determined these individuals to be Esha and Foni. For Hindi, we determined these individuals to be Alva and Deep. For Science, we know one of the individuals is either Alva or Deep. Given that Carl, Alva and Deep cannot be a part of the group that missed Science or Social Science exam, we can proceed by carefully scrutinizing the rest of the group that includes Bithi, Esha and Foni. 
We notice that Bithi has a similar score in both Science and Social Science examination. Assuming that she did miss these exams, let us proceed to check if this was actually the case.  
For Bithi: Best 2 out 3 - 90(English), 80(Hindi)
Avg = 170/2 = 85 which matches the given value
 ∴  Bithi is likely to have missed her Science and Social Science examinations.
We additionally notice that Foni has a similar score in English and Social Science. On considering the best 2 out of 3 scores, the average value of the score for both the subject holds (equal to 83). Thus, we can conclude that Bithi and Foni missed their Social Science examination.
Thus, the students who missed just one exam were: Carl (Mathematics); Esha (English) and one out of Alva and Deep (Hindi). 
Hence of the six students, we can correctly determine the missed subjects for four of them (except Alva and Deep):
Mathematics: Carl ; English: Esha & Foni ; Hindi: Alva & Deep; Science: Bithi & one out of Alva and Deep ; Social Science: Foni & Bithi
Hence, the correct answer to this question is Option D: Esha and Foni.

Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination. This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate. Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores. We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores. After estimating the average scores for the rest of the candidates, we observe that only Carl has missed his Mathematics examination.
For Carl: best 3 out of 4 - 80(Hindi), 90(Social Science), 100(Science)
Avg. = 270/3 = 90 which matches the given value
 ∴  Carl missed his Mathematics examination.
Further, based on Condition III, we can surmise that the student who missed Hindi and Science should have similar average scores in these two subjects. We notice that Alva has the same score of 75 in both Hindi and Science. The same can be said about Deep, who has a score of 90 in both these subjects. Thus, one out of Alva and Deep missed out on Hindi and Science examination, while the second individual missed out only on the Hindi examination.
Since we know that Carl, Alva and Deep are unlikely to have missed out on the English exam, we can divert our attention to determining which individual out of Bithi, Esha and Foni failed to appear for this subject. However, we notice that Bithi's English score is greater than the rest of her scores, thereby helping us eliminate her as the potential candidate.
For Esha: best 3 out of 4 - 85(Hindi), 95(Mathematics), 60(Science)
Avg. = 240/3 = 80 which matches the given value
∴  Esha most likely missed her English examination.
For Foni: best 3 out of 4 - 78(Mathematics), 83(Social Science), 88(Science)
Avg. = 249/3 = 83 which matches the given value
∴  Foni most likely missed her English examination.
Based on Condition I, we know that exactly two candidates missed the examinations for English, Hindi, Science, and Social Science.
For English, we determined these individuals to be Esha and Foni. For Hindi, we determined these individuals to be Alva and Deep. For Science, we know one of the individuals is either Alva or Deep. Given that Carl, Alva and Deep cannot be a part of the group that missed Science or Social Science exam, we can proceed by carefully scrutinizing the rest of the group that includes Bithi, Esha and Foni.
We notice that Bithi has a similar score in both Science and Social Science examination. Assuming that she did miss these exams, let us proceed to check if this was actually the case.
For Bithi: Best 2 out 3 - 90(English), 80(Hindi)
Avg = 170/2 = 85 which matches the given value
∴  Bithi is likely to have missed her Science and Social Science examinations.
We additionally notice that Foni has a similar score in English and Social Science. On considering the best 2 out of 3 scores, the average value of the score for both the subject holds (equal to 83). Thus, we can conclude that Bithi and Foni missed their Social Science examination.
Thus, the students who missed just one exam were: Carl (Mathematics); Esha (English) and one out of Alva and Deep (Hindi).
Hence of the six students, we can correctly determine the missed subjects for four of them (except Alva and Deep):
Mathematics: Carl ; English: Esha & Foni ; Hindi: Alva & Deep; Science: Bithi & one out of Alva and Deep ; Social Science: Foni & Bithi
Hence, the correct answer to this question is Option B: Alva and Deep.

Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination. This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate. Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores. We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores. After estimating the average scores for the rest of the candidates, we observe that only Carl has missed his Mathematics examination.
For Carl: best 3 out of 4 - 80(Hindi), 90(Social Science), 100(Science)
Avg. = 270/3 = 90 which matches the given value
∴  Carl missed his Mathematics examination.
Further, based on Condition III, we can surmise that the student who missed Hindi and Science should have similar average scores in these two subjects. We notice that Alva has the same score of 75 in both Hindi and Science. The same can be said about Deep, who has a score of 90 in both these subjects. Thus, one out of Alva and Deep missed out on Hindi and Science examination, while the second individual missed out only on the Hindi examination.
Since we know that Carl, Alva and Deep are unlikely to have missed out on the English exam, we can divert our attention to determining which individual out of Bithi, Esha and Foni failed to appear for this subject. However, we notice that Bithi's English score is greater than the rest of her scores, thereby helping us eliminate her as the potential candidate.
For Esha: best 3 out of 4 - 85(Hindi), 95(Mathematics), 60(Science)
Avg. = 240/3 = 80 which matches the given value
∴  Esha most likely missed her English examination.
For Foni: best 3 out of 4 - 78(Mathematics), 83(Social Science), 88(Science)
Avg. = 249/3 = 83 which matches the given value
∴  Foni most likely missed her English examination.
Based on Condition I, we know that exactly two candidates missed the examinations for English, Hindi, Science, and Social Science.
For English, we determined these individuals to be Esha and Foni. For Hindi, we determined these individuals to be Alva and Deep. For Science, we know one of the individuals is either Alva or Deep. Given that Carl, Alva and Deep cannot be a part of the group that missed Science or Social Science exam, we can proceed by carefully scrutinizing the rest of the group that includes Bithi, Esha and Foni.
We notice that Bithi has a similar score in both Science and Social Science examination. Assuming that she did miss these exams, let us proceed to check if this was actually the case.
For Bithi: Best 2 out 3 - 90(English), 80(Hindi)
Avg = 170/2 = 85 which matches the given value
∴  Bithi is likely to have missed her Science and Social Science examinations.
We additionally notice that Foni has a similar score in English and Social Science. On considering the best 2 out of 3 scores, the average value of the score for both the subject holds (equal to 83). Thus, we can conclude that Bithi and Foni missed their Social Science examination.
Thus, the students who missed just one exam were: Carl (Mathematics); Esha (English) and one out of Alva and Deep (Hindi).
Hence of the six students, we can correctly determine the missed subjects for four of them (except Alva and Deep):
Mathematics: Carl ; English: Esha & Foni ; Hindi: Alva & Deep; Science: Bithi & one out of Alva and Deep ; Social Science: Foni & Bithi
Hence, the correct answer to this question is Option A: Bithi & one out of Alva and Deep.

Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination. This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate. Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores. We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores. After estimating the average scores for the rest of the candidates, we observe that only Carl has missed his Mathematics examination.
For Carl: best 3 out of 4 - 80(Hindi), 90(Social Science), 100(Science)
Avg. = 270/3 = 90 which matches the given value
∴  Carl missed his Mathematics examination.
Further, based on Condition III, we can surmise that the student who missed Hindi and Science should have similar average scores in these two subjects. We notice that Alva has the same score of 75 in both Hindi and Science. The same can be said about Deep, who has a score of 90 in both these subjects. Thus, one out of Alva and Deep missed out on Hindi and Science examination, while the second individual missed out only on the Hindi examination.
Since we know that Carl, Alva and Deep are unlikely to have missed out on the English exam, we can divert our attention to determining which individual out of Bithi, Esha and Foni failed to appear for this subject. However, we notice that Bithi's English score is greater than the rest of her scores, thereby helping us eliminate her as the potential candidate.
For Esha: best 3 out of 4 - 85(Hindi), 95(Mathematics), 60(Science)
Avg. = 240/3 = 80 which matches the given value
∴  Esha most likely missed her English examination.
For Foni: best 3 out of 4 - 78(Mathematics), 83(Social Science), 88(Science)
Avg. = 249/3 = 83 which matches the given value
∴  Foni most likely missed her English examination.
Based on Condition I, we know that exactly two candidates missed the examinations for English, Hindi, Science, and Social Science.
For English, we determined these individuals to be Esha and Foni. For Hindi, we determined these individuals to be Alva and Deep. For Science, we know one of the individuals is either Alva or Deep. Given that Carl, Alva and Deep cannot be a part of the group that missed Science or Social Science exam, we can proceed by carefully scrutinizing the rest of the group that includes Bithi, Esha and Foni.We notice that Bithi has a similar score in both Science and Social Science examination. Assuming that she did miss these exams, let us proceed to check if this was actually the case.
For Bithi: Best 2 out 3 - 90(English), 80(Hindi)
Avg = 170/2 = 85 which matches the given value
 ∴  Bithi is likely to have missed her Science and Social Science examinations.
We additionally notice that Foni has a similar score in English and Social Science. On considering the best 2 out of 3 scores, the average value of the score for both the subject holds (equal to 83). Thus, we can conclude that Bithi and Foni missed their Social Science examination.
Thus, the students who missed just one exam were: Carl (Mathematics); Esha (English) and one out of Alva and Deep (Hindi).
Hence of the six students, we can correctly determine the missed subjects for four of them (except Alva and Deep):
Mathematics: Carl ; English: Esha & Foni ; Hindi: Alva & Deep; Science: Bithi & one out of Alva and Deep ; Social Science: Foni & Bithi
Hence, the correct answer to this question is 3. {Carl (Mathematics); Esha (English) and one out of Alva and Deep (Hindi)}

From the given information, we can make the following empty table:

From (ii) and (iii), we get that Q got F grade in match II and match IV.
From (v) and (vi), P got same grade in match II and match III. Now, P could obtain grade B in match II and match III (from (vi)).
Now, in every match, at least one century was scored; thus, R obtained grade A in match II and match IV (from (iv)).
Thus, grade C would be obtained by Q in match I, R in match III and P in match IV (from (iii) and (v)).
Now, remaining rows and columns can be filled giving the final table as follows:

From the given information, we can make the following empty table:

From (ii) and (iii), we get that Q got F grade in match II and match IV.
From (v) and (vi), P got same grade in match II and match III. Now, P could obtain grade B in match II and match III (from (vi)).
Now, in every match, at least one century was scored; thus, R obtained grade A in match II and match IV (from (iv)).
Thus, grade C would be obtained by Q in match I, R in match III and P in match IV (from (iii) and (v)).
Now, remaining rows and columns can be filled giving the final table as follows:

Maximum runs scored by Q in match I = 49
Maximum runs scored by Q in match II = 30
Average of maximum runs scored by Q in match I and match II = (49+30)/2 = 39.5

From the table, we can see that the % decline in the rupee was maximum in the month of July among the options and also the stock index of UK was lowest in July among the given months so the maximum decline in the portfolio was in July.

The percentage increase in the USA market index is the maximum among the three markets in a year.

As we have to see the maximum value the investment reaches, we need to consider two factors

1. INR per USD - the lower the INR per USD, the greater will be the value
2. Indian Stock Market Index - the higher will be the stock market in India, Greater will be the returns.

As we can see INR to USD is same in July and October that is 68 but the stock market is higher in October,
Hence, October is the right ans.

Among the given options since the dollar got weak the most on 1st May 2019 and also the US market index fell below the value of the index on 1st January so therefore the minimum value reaches was in 1st May 2019.

Total C.P of magazines of Week 1 = 54 × 7.5 + 88 × 8 = 1,109
Total C.P of magazines of Week 2 = 34 × 8 + 88 × 6.75 + 2 × 6.5 = 879
Total C.P of magazines of Week 3 = 72 × 6.5 + 36 × 7.75 = 747
Total C.P of magazines of Week 4 = 84 × 7.75 + 30 × 6 = 831
Total C.P of magazines of Week 5 = 66 × 6 + 42 × 6.52 = 669
Total C.P of magazines of Week 6 = 22 × 6.52 + 82 × 8.50 = 840

Total C.P of magazines of Week 1 = 54 × 7.5 + 88 × 8 = 1,109
Total C.P of magazines of Week 2 = 34 × 8 + 88 × 6.75 + 2 × 6.5 = 879
Total C.P of magazines of Week 3 = 72 × 6.5 + 36 × 7.75 = 747
Total C.P of magazines of Week 4 = 84 × 7.75 + 30 × 6 = 831
Total C.P of magazines of Week 5 = 66 × 6 + 42 × 6.52 = 669
Total C.P of magazines of Week 6 = 22 × 6.52 + 82 × 8.50 = 840

Thus, the number of magazines with profit > 20% is 410.

Total C.P of magazines of Week 1 = 54 × 7.5 + 88 × 8 = 1,109
Total C.P of magazines of Week 2 = 34 × 8 + 88 × 6.75 + 2 × 6.5 = 879
Total C.P of magazines of Week 3 = 72 × 6.5 + 36 × 7.75 = 747
Total C.P of magazines of Week 4 = 84 × 7.75 + 30 × 6 = 831
Total C.P of magazines of Week 5 = 66 × 6 + 42 × 6.52 = 669
Total C.P of magazines of Week 6 = 22 × 6.52 + 82 × 8.50 = 840

Lowest profit i.e. $138 was made in week 4.

Total C.P of magazines of Week 1 = 54 × 7.5 + 88 × 8 = 1,109
Total C.P of magazines of Week 2 = 34 × 8 + 88 × 6.75 + 2 × 6.5 = 879
Total C.P of magazines of Week 3 = 72 × 6.5 + 36 × 7.75 = 747
Total C.P of magazines of Week 4 = 84 × 7.75 + 30 × 6 = 831
Total C.P of magazines of Week 5 = 66 × 6 + 42 × 6.52 = 669
Total C.P of magazines of Week 6 = 22 × 6.52 + 82 × 8.50 = 840

Total profit from week 3 to week 6 is $864.72.
Average for the 4 weeks = $216.18

Total C.P of magazines of Week 1 = 54 × 7.5 + 88 × 8 = 1,109
Total C.P of magazines of Week 2 = 34 × 8 + 88 × 6.75 + 2 × 6.5 = 879
Total C.P of magazines of Week 3 = 72 × 6.5 + 36 × 7.75 = 747
Total C.P of magazines of Week 4 = 84 × 7.75 + 30 × 6 = 831
Total C.P of magazines of Week 5 = 66 × 6 + 42 × 6.52 = 669
Total C.P of magazines of Week 6 = 22 × 6.52 + 82 × 8.50 = 840

Difference of profit of week 1 and week 2 = $361 - $240 = $121
Now, 121/361 × 100% = 33.52%

By observing table II, we can see that NP/NW ratio is maximum for ITC.
Hence it is the best performer.

Operating Profit/Sales for Birla
= 324145/1280812 = 0.253.
Operating Profit/Sales for Mafatlal
= 26485/1611263 = 0.016.
Operating profit/Sales for RPG
= 62580/289391 = 0.216.
Operating profit/Sales for ESSAR
= 91092/155391 = 0.586.
Thus ESSAR is the best choice.

Net Profit / Net Worth is highest for ITC.
Hence a person should invest in ITC.