Logical Reasoning & DI (LRDI) Test

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Logical Reasoning & DI (LRDI) Test - 33

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Question 1
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

Many countries including Australia, England, Canada, India, New Zealand, Scotland, Nigeria, Wales and Others participated in one or more sporting events held at the 2022 Commonwealth Games. In each sporting event at least three countries participated. At the end of each sporting event, the country finishing at the first, the second and the third positions were awarded a gold, a silver and a bronze medal respectively. The table given below shows the percentage of total number of Gold, Silver and Bronze medals that were bagged by each of the countries.

...view full instructions

Which of the following cannot be the sum of the number of gold and silver medals won by India?

A
54

B
108

C
136

D
162

Solution

At the end of each event exactly one each of gold, silver and bronze medals were awarded hence the total number of gold or silver or bronze medals must be the same. Let there be N number each of gold, silver and bronze medals.

Sum of the numbers of gold and silver medals won by India

= 0.08N + 0.055N = 0.135N = 27n/100

As this sum must be an integer, it will be a multiple of 27. Accordingly, 54, 108 and 162 all are possible values.

Only 136 is not a multiple of 27.

Hence, option (3) is the correct answer
Question 2
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

Many countries including Australia, England, Canada, India, New Zealand, Scotland, Nigeria, Wales and Others participated in one or more sporting events held at the 2022 Commonwealth Games. In each sporting event at least three countries participated. At the end of each sporting event, the country finishing at the first, the second and the third positions were awarded a gold, a silver and a bronze medal respectively. The table given below shows the percentage of total number of Gold, Silver and Bronze medals that were bagged by each of the countries.

...view full instructions

The ratio of the number of silver medals won by Canada to the number of bronze medals won by Scotland was ___________.

A
24 : 19

B
6 : 5

C
11 : 10

D
23 : 19

Solution

At the end of each event exactly one each of gold, silver and bronze medals were awarded hence the total number of gold or silver or bronze medals must be the same. Let there be N number each of gold, silver and bronze medals.

Number of silver medals won by Canada = 0.115N

Number of bronze medals won by Scotland = 0.095N

Hence, required ratio = 0.115N : 0.095N = 23 : 19
Question 3
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

Many countries including Australia, England, Canada, India, New Zealand, Scotland, Nigeria, Wales and Others participated in one or more sporting events held at the 2022 Commonwealth Games. In each sporting event at least three countries participated. At the end of each sporting event, the country finishing at the first, the second and the third positions were awarded a gold, a silver and a bronze medal respectively. The table given below shows the percentage of total number of Gold, Silver and Bronze medals that were bagged by each of the countries.

...view full instructions

The total number of medals won by Nigeria was approximately what percent of the total number of medals won by Australia?

A
13.5%

B
19.5%

C
16.5%

D
23%

Solution

At the end of each event exactly one each of gold, silver and bronze medals were awarded hence the total number of gold or silver or bronze medals must be the same. Let there be N number each of gold, silver and bronze medals.

Total number of medals won by Nigeria = 0.04N + 0.035N + 0.05N = 0.125N

Total number of medals won by Australia = 0.24N + 0.205N + 0.195N = 0.64N

Hence, the number of medals won by Nigeria was =
Question 4
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

The table given below shows data about Chips and Electric Vehicle Batteries (EVBs) manufactured by ABC Company Limited in 8 months from January to August. Some of the Chips and EVBs manufactured in a particular month were consumed domestically and the remaining was exported in the same month. The 2nd column of the table provides the total number of Chips and EVBs manufactured by the company in each of the given 8 months. Similarly, the 3rd column shows the number of Chips consumed domestically; and the 4th column shows number of EVBs exported as a percentage of number of EBVs consumed domestically.

...view full instructions

The ratio of number of EVBs exported to that of number of Chips exported in July cannot be

A
1 : 3

B
4 : 5

C
3 : 2

D
2 : 3

Solution

Hence, option (2) is the correct answer.
Question 5
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

The table given below shows data about Chips and Electric Vehicle Batteries (EVBs) manufactured by ABC Company Limited in 8 months from January to August. Some of the Chips and EVBs manufactured in a particular month were consumed domestically and the remaining was exported in the same month. The 2nd column of the table provides the total number of Chips and EVBs manufactured by the company in each of the given 8 months. Similarly, the 3rd column shows the number of Chips consumed domestically; and the 4th column shows number of EVBs exported as a percentage of number of EBVs consumed domestically.

...view full instructions

For how many of the given 8 months, the number of Chips exported cannot be zero?

A
2

B
3

C
4

D
More than 4

Solution

Number of Chips exported:

January = 360 – 50 – 9k1 = 310 – 9k1

February = 420 – 60 – 5k2 = 360 – 5k2

March = 400 – 100 – 6k3 = 300 – 6k3

April = 500 – 125 – 7k4 = 375 – 7k4

May = 450 – 80 – 3k5 = 370 – 3k5

June = 400 – 150 – 7k6 = 250 – 7k6

July = 600 – 250 – 11k7 = 350 – 11k7

August = 800 – 300 – 5k8 = 500 – 5k8

Hence, the number of Chips exported only for January, April, May, June and July cannot be zero.
Question 6
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

The table given below shows data about Chips and Electric Vehicle Batteries (EVBs) manufactured by ABC Company Limited in 8 months from January to August. Some of the Chips and EVBs manufactured in a particular month were consumed domestically and the remaining was exported in the same month. The 2nd column of the table provides the total number of Chips and EVBs manufactured by the company in each of the given 8 months. Similarly, the 3rd column shows the number of Chips consumed domestically; and the 4th column shows number of EVBs exported as a percentage of number of EBVs consumed domestically.

...view full instructions

If the number of EVBs consumed domestically is same in each of the given eight months, then what is the minimum number of Chips exported in April?

A
39

B
95

C
151

D
207

Solution

If the number of EVBs consumed domestically is same in each of the given eight months, then the number must be the LCM of (2, 4, 5, 8, 10) = 40 or any multiple of 40 ( i.e., 80, 120, 160, 200, 240, 280). To minimize the number of Chips that was exported.

In April, if 40, 80, 120, 160, 200, 240, 280, EVBs consumed domestically, the number of EVBs manufactured will be 56, 112, 168, 224, 280, 336, 392.

So number of Chips manufactured will be 444, 388, 332, 276, 220, 164, 108.

Since 125 Chips consumed domestically, so number of Chips manufactured cannot be 108.

Also, in June 150 Chips consumed domestically, so the number of Chips manufactured cannot be 120, 64 and 8.

So in April the number of Chips manufactured cannot be 220, 164 and 108.

Hence, the required minimum number of Chips exported in April = 276 – 125 = 151.
Question 7
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

Mr. Mehta, an investor, had invested in 8 companies in 4 sectors – Consumer Services, Finance, Retail and Technology. The table given below shows the change in share prices of 8 companies disguised as A to H in no particular order. Mr. Mehta had bought shares in multiples of 10 on 1st November 2021 at the price mentioned in the table.

...view full instructions

If one of the two Retail companies showed the highest percentage variation in the share price while the other Retail company showed the lowest percentage variation, then the two Retail companies were

A
C & F

B
A & D

C
C & H

D
E & H

Solution
Question 8
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

Mr. Mehta, an investor, had invested in 8 companies in 4 sectors – Consumer Services, Finance, Retail and Technology. The table given below shows the change in share prices of 8 companies disguised as A to H in no particular order. Mr. Mehta had bought shares in multiples of 10 on 1st November 2021 at the price mentioned in the table.

...view full instructions

Mr. Mehta had invested money in the ratio 3 : 2 in companies C and D while the number of shares of C and D bought by his friend Mr. Gupta was in the ratio 3 : 2. Both these purchases were made on November 1, 2021. If they both of them did not sell any part of this investment, then which of the following statements is true as on November 1, 2022?

A
The return on this investment was the same for both

B
The return on investment for Mr. Gupta was about 39%

C
The return on investment for Mr. Mehta was 36%

D
The return on investment for Mr. Gupta was 44%.

Solution

The absolute and percentage variation of the shares are as follows:
Question 9
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

Seven contestants - Abhi, Barik, Chiku, Dhir, Elex, Falak and Garima - participated in a reality show. Each contestant was evaluated on a scale of 0 to 50 points by four referees:

(a) Three Judges, Karan, Leena and Mayank, each of whom could award a maximum of 10 points.

(b) The fourth referee was the “PEOPLE’S VOTING” which carried a maximum of 20 points.

All ratings were Whole numbers only.

A contestant is ELIGIBLE to move to the next round if he/she receives at least a 50% of the maximum points from at least three referees and 60% from at least two referees. All the ELIGIBLE candidates are ranked on the basis of total points scored and the top four ranks QUALIFIED for the next round of the show. The partial information about points given by the four referees and total points is given in the table below.

Some additional facts are as follows:

I. No two contestants had the same total points. The total points was greater than 30 and less than 42.

II. Each contestant received either 16 or 18 or 20 points from PEOPLE”S VOTING. Exactly three contestants received 18 points.

III. The only contestant who was INELIGIBLE to move to the next round had secured the third highest overall score among all the contestants.

IV. Chiku QUALIFIED for the next round of the show. Mayank awarded Chiku points, which was the median of all the points that he awarded to the seven contestants.

V. The total points of only two contestants were even numbers and the total points of Dhir were 4 more than that of Falak.

VI. No judge gave less than 4 points to any contestant.

...view full instructions

What were the points received by Abhi from people’s voting?

A
16

B
18

C
20

D
Either 1 or 3

Solution

Step 1:

First of all, we would try to find participants who were eligible to move to the next round of the show.

From the given information, Abhi, Barik, Chiku, Falak and Garima were eligible to move to the next round of the show. (Garima will be eligible because she cannot be 3rd highest scorer with total points of 33.)

If Dhir was ineligible to move to the next round of the show, then his total points=4+4+7+20= 35

From condition (iii), Since Dhir is ineligible; he had secured the third highest overall score. Other scores below 35 will be 34, 33, 32 and 31.

From condition (v). This is not possible because in the above case there will be three contestants with total points even numbers 32, 34 and 38.

So we can conclude that Dhir was eligible and Elex was ineligible. Now, we can find points of Elex = 38=4+4+ 10 + 20. There would be two contestants whose total points were more than 38. One of them was Barik and other would be Dhir. If Dhir's total points are 40, the total points of Falak would be 36. From condition (v). This is not possible because in this case there will be three contestants whose total points will be even numbers. So the total points of Dhir must be 41 and that of Falak would be 37.

Step 2:

Abhi's total points may be equal to 31/35 and he would have received points of 16/20 from People's Voting. From condition (ii), Barik, Falak and Garima had received 18 points from People's Voting.

From condition (iv), Chiku QUALIFIED for the next round of the show. Mayank awarded Chiku points, which was the median of all the points that he awarded to the seven contestants. So Mayank awarded 6 points to Chiku and Chiku's total points will be 34. Also, Chiku's total points must be more than that of Garima, who was eligible but not qualified to move to the next round of the show.

Now, we can conclude that Barik, Chiku, Dhir and Falak having total points 39, 34, 41 and 37 respectively would have been moved to the next round of the show.

Therefore, total points of Abhi would be 31.

Step 3:

Hence, the final table can be shown as:

Abhi received 16 points from people’s voting.
Question 10
3 / -1

Directions For Questions

Read the passage below and answer the questions that follow:

Seven contestants - Abhi, Barik, Chiku, Dhir, Elex, Falak and Garima - participated in a reality show. Each contestant was evaluated on a scale of 0 to 50 points by four referees:

(a) Three Judges, Karan, Leena and Mayank, each of whom could award a maximum of 10 points.

(b) The fourth referee was the “PEOPLE’S VOTING” which carried a maximum of 20 points.

All ratings were Whole numbers only.

A contestant is ELIGIBLE to move to the next round if he/she receives at least a 50% of the maximum points from at least three referees and 60% from at least two referees. All the ELIGIBLE candidates are ranked on the basis of total points scored and the top four ranks QUALIFIED for the next round of the show. The partial information about points given by the four referees and total points is given in the table below.

Some additional facts are as follows:

I. No two contestants had the same total points. The total points was greater than 30 and less than 42.

II. Each contestant received either 16 or 18 or 20 points from PEOPLE”S VOTING. Exactly three contestants received 18 points.

III. The only contestant who was INELIGIBLE to move to the next round had secured the third highest overall score among all the contestants.

IV. Chiku QUALIFIED for the next round of the show. Mayank awarded Chiku points, which was the median of all the points that he awarded to the seven contestants.

V. The total points of only two contestants were even numbers and the total points of Dhir were 4 more than that of Falak.

VI. No judge gave less than 4 points to any contestant.

...view full instructions

A score of 10 was definitely awarded by

A
Both Karan and Mayank

B
Both Leena and Mayank

C
All the three Judges

D
Mayank

Solution

Step 1:

First of all, we would try to find participants who were eligible to move to the next round of the show.

From the given information, Abhi, Barik, Chiku, Falak and Garima were eligible to move to the next round of the show. (Garima will be eligible because she cannot be 3rd highest scorer with total points of 33.)

If Dhir was ineligible to move to the next round of the show, then his total points=4+4+7+20= 35

From condition (iii), Since Dhir is ineligible; he had secured the third highest overall score. Other scores below 35 will be 34, 33, 32 and 31.

From condition (v). This is not possible because in the above case there will be three contestants with total points even numbers 32, 34 and 38.

So we can conclude that Dhir was eligible and Elex was ineligible. Now, we can find points of Elex = 38=4+4+ 10 + 20. There would be two contestants whose total points were more than 38. One of them was Barik and other would be Dhir. If Dhir's total points are 40, the total points of Falak would be 36. From condition (v). This is not possible because in this case there will be three contestants whose total points will be even numbers. So the total points of Dhir must be 41 and that of Falak would be 37.

Step 2:

Abhi's total points may be equal to 31/35 and he would have received points of 16/20 from People's Voting.

From condition (ii), Barik, Falak and Garima had received 18 points from People's Voting.

From condition (iv), Chiku QUALIFIED for the next round of the show. Mayank awarded Chiku points, which was the median of all the points that he awarded to the seven contestants. So

Mayank awarded 6 points to Chiku and Chiku's total points will be 34. Also, Chiku's total points must be more than that of Garima, who was eligible but not qualified to move to the next round of the show.

Now, we can conclude that Barik, Chiku, Dhir and Falak having total points 39, 34, 41 and 37 respectively would have been moved to the next round of the show.

Therefore, total points of Abhi would be 31.

Step 3:

Hence, the final table can be shown as:

A score of 10 was definitely awarded by Mayank.