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]]>#LRDIoftheDay #49

A company started manufacturing solar power generators in the year 2008. The panels that are used in the generators can be used for exactly one year post which, they have to be discarded. The company provides panels, free of cost, for the first two years in which they have to be replaced. After that, panels brought from the company cost Rs. 2000 while third party vendors provide them for Rs. 1500. Every year, 30% of the customers buy the panels from the company while the rest settle for the cheaper alternative. A partial table gives an account of the replacements that were made by the company and the third party vendors for the years 2012 to 2016. Assume that all the solar generators manufactured in the year 2008 are operating currently.

If for any question, the answer cannot be determined uniquely, mark 0 as your answer.

1. How many solar power generators were sold in the year 2013?

2. How many solar power generators were sold from 2008 to 2010?

3. In 2012, how many panels did the company sell or replace?

4. How many solar power generators were sold in 2010?

The solution

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]]>#LRDIoftheDay #48 Easy one for today

The following pie charts give the number of employees at UltraTech at the end of the year for the period 2012 to 2015. The charts also capture the education qualification of the employees. UltraTech does not employ people who are not at least matriculates and once a person gets recruited, he cannot pursue further education. It is also known that no employee of the company left the job during the given period.

NOTE: It is necessary for a doctorate to be a post graduate, for a post graduate to be a graduate and for a graduate to be a matriculate. This means that the number of matriculates also include those who went on to do their graduation, post graduation, doctorates. Similar is the case for the numbers of graduates and post graduates. If the answer to any question cannot be uniquely determined, type in 0 as your answer.

1. How many graduates joined UltraTech in the year 2014?

2. How many post graduates who were not doctorates joined UltraTech in 2014 and 2015 put together?

3. How many employees joined UltraTech in the year 2013?

4. What was the absolute difference between the number of doctorates who joined Ultra Tech in the year 2013 and 2015?

The solution

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]]>To help you in your TISS preparation, we are putting up the 2014, 2016 and 2017 papers for free download. All of these papers have the answers mentioned along with the questions.

Hope this helps! Do share with others if you find it useful.

P.S.: For TISS 2018 aspirants, we have come up a with a mock test series replicating the exact format of TISS NET. The first mock is free to attempt. Check out the details here – TISS Mocks by Learningroots

P.P.S: Do join our Facebook preparation group and discuss with other aspirants here – FB prep group

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]]>#LRDIoftheDay #47

In cricket, the term batting average gives an indication of how many runs a batsman has scored per innings in which he was dismissed. So, the batting average is given by the formula: (Total runs scored/Number of times the player was out)

For a particular player, the data for the last 25 matches that he batted in has to be considered. The following facts are known:

i. He was dismissed in each of the matches that he batted in

ii. The runs scored by him in any two matches is not same

iii. The sum of his five highest scores is 337

1. If the sum of his lowest five scores was 121, what would be the highest average possible?

2. If the sum of his lowest five scores was 121 and his average was more than 40, what is the maximum number of matches in which he scored less than 40?

3. If the sum of his lowest five scores was 121, what is the minimum possible value of his sixth highest score?

4. If he scored 2 centuries in these 25 matches, what is the maximum possible value of his lowest score?

The solution

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]]>#LRDIoftheDay #46 A set on combinations

Mr. Incredible, in a fit of rage damaged his office premises. An enquiry followed and it was decided that he would have to repair the damage done. As a part of this ordeal, he had to visit the market to get 5 kg of cement. He found out that there were 10 shops selling a different variety of cement and that each seller had a fixed quantity with him/her and a buyer was supposed to either buy the entire amount or not buy anything. The following tables provide information about the cost price (in Rs/kg) and the total worth (in Rs.) of the cement in each of the 10 shops.

1. How many distinct combinations of shops exist from which Mr. Incredible can by 5 kg of cement?

2. What can be the minimum possible amount (in Rs.) Mr. Incredible must pay to buy 5 kg of cement?

3. If the cost price of the cement at shop number 10 is reduced by Rs.11 per kg (the amount of cement at shop number 10 remains the same), then what is the difference between the maximum and the minimum amount Mr. Incredible can pay to buy 5 kg of cement?

4. Which of the following statement(s) is/are definitely true?

I. If Mr. Incredible buys cement from shop numbers 1, 3 and 9, then he will have to pay the maximum amount to buy 5 kg of cement.

II. If Mr. Incredible buys cement from shop number 3, then he will have to buy cement from shop numbers 4 and 9 as well.

a. Only I

b. Only II

c. I and II

d. Neither I nor II

The solution will be up tomorrow.

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]]>#LRDIoftheDay #45

Felonius Gru has 15 different Rubik’s cubes C1 through C15. The cubes are classified into three categories based upon their number of layers. C1, C15, C13 and C4 are of 8 layers each. C6, C2, C7, C9 and C14 are of 6 layers each and the remaining cubes are of 10 layers each. He selects five out of these fifteen cubes on eight consecutive days. On each day he tries to solve the selected cubes but is successful in solving only one of the selected cubes. If he solves a cube on a particular day, that cube is not selected by him on the subsequent days. It is also known that out of the cubes solved by him, the number of cubes of 6 layers is less than the number of cubes of 8 layers.

The following table gives details about the cubes selected by him on each of the given eight days.

1. For how many days is it possible to uniquely determine which cube is solved by Gru?

2. If Gru wants the aggregate number of layers of all the cubes that he solves in these 8 days to be the minimum then the number of layers of the cube solved on day 7 is

a. 6

b. 8

c. 10

d. Either 6 or 10

3. After Day 8 Gru finds that the aggregate number of layers of all the cubes that he has solved is more than 64 but not more than 68. Which of the following cubes is definitely solved by Gru?

a. C15

b. C13

c. C10

d. Cannot be determined

4. After Day 8 Gru finds that the aggregate number of layers of all the cubes that he has solved is more than 64 but not more than 68. If C9 is not solved and C8 is solved by Gru, then which of the following can be a cube that is solved by him?

a. C14

b. C5

c. C11

d. C2

The solution

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]]>#LRDIoftheDay #44 A replica of probably the toughest set of CAT 2016 Slot 2

Four experts A, B, C and D rated 3 features F1, F2, and F3 each for two products P1 and P2 giving integer ratings between 1 and 10. Table 1 lists a triplet each comprising minimum, average and maximum rating given by each expert for each feature across products. Table 2 lists the minimum and maximum rating given by each expert to individual products across features. Table 3 lists average of ratings given to each feature by each expert across products.

Table 1

Table 2

Table 3

1. What was the expert rating given to F2 of P1 by C?

2. What was the expert rating given to F3 of P2 by D?

3. What was the expert rating given to F1 of P1 by B?

4. What was the expert rating given to F3 of P2 by A?

The solution

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]]>#LRDIoftheDay #43 A tough one for today

Angry Masterji has assigned roll numbers 2, 3, 4, 5 and 6 to five of his students viz. Bhuvan, Banchod Das, Sameer, Hola and Bablu not necessarily in that order. He decides to do a fun activity while conducting roll calls and calls out a random number in a round and does this over seven rounds with a different number called in each round. The students who have a roll number that is the factor of the random number called answer with a ‘Yes’ and the ones who do not have a factor of the random number called answer with a ‘No’. The following facts are known:

i. The sum of the seven random numbers is 100 and each of them is greater than 2

ii. The sum of the numbers called in Round 1 and Round 2 is 30

iii. Angry Masterji does not call out the numbers 6 and 7

iv. Exactly one of the called numbers is less than 10

The table that is formed at the end of the activity looks as follows:

If the answer to any question cannot be determined uniquely, type 0 in the text box.

1. What is the number called in Round 3?

2. What is the number called in Round 4?

3. What is the number called in Round 5?

4. What is the number called in Round 6?

The solution

Apologies for the background noise. I hope it is audible and coherent. In case there is something that is not clear, let me know in the comments below.

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]]>#LRDIoftheDay #42

A set that is a replica of another that appeared in CAT a decade and a half back

Five players Shikhar (S), Rohit (R), Virat (V), Manish (M) and Kedar (K) scored all the runs in a low-scoring 3-match series against the West Indies. We know the runs scored by the top 3 players in each match and the percentage of the total score that was contributed by these top 3 players in each match.

No two batsmen scored the same number of runs in a match and no player scored the same number of runs in any two matches. When it came to evaluating the performance of the players post the series, two indices were used: the RD-index which was the difference between the highest score of a player and the least score of a player in the series and the ST-index which was the median score of a player in the tournament.

1. What is the minimum number of runs scored by Manish in the series?

2. For how many players can we calculate the exact ST-index?

3. At least how many players scored less than 135 runs in all the three matches together?

4. What will be the best value of the RD-index (which means the least numerical value) for any player in the series?

The solution

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]]>#LRDIoftheDay #41 Another one on overlapping logic. We had solved a milder one here: LRDI of the Day #32

In a school that had classes from 5th standard to 10th standard, the number of students in each standard in the years 2015, 2016 and 2017 is shown in the table. Students join the school only in 5th standard and do not leave the school until they pass their 10th standard exams. The students who fail in a particular year have to study in the same standard the next year as well while those who pass go through to the next higher standard. No student failed in the same standard more than once and the pass percentage of 10th standard is 100% over the years given.

1. How many students failed in the exams held in 2015?

2. Which standard had the lowest pass percentage in the year 2015? (Write your answer in the form of the number of the standard; for example, if it is the 4th standard, mark 4 as your answer)

3. What is the difference between the number of students who joined the school in 2016 and those who joined the school in 2017?

4. What was the overall pass percentage of the school in the year 2016? (Answer should be accurate to 1 place after the decimal; for example, if it is 98.56, mark 98.6 as your answer)

5. For how many standards was the number of students who failed in 2016 more than the corresponding value in 2015?

The solution

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