- Two ants A and B start from a point P on a circle at the same time, with A moving clock-wise and B moving anti-clockwise. They meet for the first time at 10:00 am when A has covered 60% of the track. If A returns to P at 10:12 am, then B returns to P at:
a)10:49 AM
b)10:23 AM
c)10:27 AM
d)10:39 AM
e)10:45 AM
Explanation
SOLUTION-[ C ]
When the A covers 60% of the distance, The remaining distance covered by B is 40%.
Ratio of distance A and B = 60% / 40% = 3/2
We know that time is inversely proportional to distance. So, the Ratio of time A and B = 2/3
Here given A covers 60% of the distance at 10:00 AM and covers 100% of the distance at 10:12 AM. A takes 12 minutes to cover 40% of the track
Time taken to cover 40% distance = 12 minutes
Time taken to cover 1% distance = (12/40) minutes
Time taken to cover 100% distance = 30 minutes
So, cover the whole track Time taken by A = 30 minutes
The time taken by A and B to complete the track are in the ratio 2:3
So, the time is taken by B to complete the track = (3/2) * 30 = 45 minutes.
Remaining distance covers by B = 60%
100% distance covered by B = 45 minutes
1% distance covered by B = (45/100) minutes
60% distance covered by B = 27 minutes So, B complete one complete round at 10:27 AM.
Question- 2
Manda walks to the market and comes back in an auto. It takes her 90 minutes to make the round trip. If she takes an auto both ways it takes her 30 minutes. On a Sunday, she decides to walk both ways. How long would it take her ?
a)150 minutes
b)120 minutes
c)100 minutes
d)140 minutes
e)130 minutes
Explanation
SOLUTION[A] 150MIN
As it took Prof. Mandal 30 minutes for round trip to the market by auto, we can infer that the auto takes 15 minutes for one way trip.
When he walks one way and return by auto, it took him 90 minutes.
We know the auto would have taken 15 minutes while returning. So, the professor takes (90-15) = 75 minutes one way while walking to the market. So, for a round
trip by walking, he will take 2* 75 minutes = 150 minutes.
Hence, option A is the correct.
Question-3
Read the following Scenario carefully and answer the questions that follow:
Churna is a peaceful village, surrounded by thickly forested high hills that isolate it from the rest of the world. Agriculture is the main occupation of the Churna villagers. Moreover, the forests provide seasonal fruits, tubers, medicinal herbs, and other forest produce in abundance. For all material needs not produced locally, the Churna villagers depend on Tendua, a faraway town.
Once a month, the Churna women would arduously trek with the surplus produce to Tendua. In the Tendua market, they convey the virtues of their produce through a beautiful song and dance routine. Reputed for their hard- bargaining skills, they always manage to extract a premium barter from the traders, more than fulfilling all their other material needs.
A few months after granting exclusive access to Damu, the village council of Churna meets to discuss the progress. After much debate and heated discussions, the Village Council decides to terminate the contract with Damu. The Council feels that if the contract continues, then:
1. Over time, Churna’s produce will lose its association with Churna.
2. Churna’s people will be ignorant of new developments in the market.
3. Churna’s dance and song will lose their identity.
4. Churna’s people will lose social interaction with the outer world.
5. Churna’s people will lose their hard bargaining skills.
Which of the above concerns, when arranged in descending order of significance, will correctly support the decision to terminate the contractual relationship with Damu:
a)1,2,5,4,3
b)1,2,5,3,4
c)1,2,3,4,5
d)2,1,5,3,4
e)5,1,2,4,3
Explanation
SOLUTION-[B]-1,2,5,3,4
The most important reason for terminating the contract of Damdu would be the people of Churna feel that their produce might lose association with Churna and develop association with Damdu. The next important reason would be that people will not able to understand and see how the new markets develop, that is they would be confined to Churna only. The remaining three statements state the things Churna people will lose of which the most important would be their bargaining skills followed by their identity and then the social interaction with the outer world. So the correct order is 1, 2, 5, 3, 4
Question-4
Read the following Scenario carefully and answer the questions that follow:
Churna is a peaceful village, surrounded by thickly forested high hills that isolate it from the rest of the world. Agriculture is the main occupation of the Churna villagers. Moreover, the forests provide seasonal fruits, tubers, medicinal herbs, and other forest produce in abundance. For all material needs not produced locally, the Churna villagers depend on Tendua, a faraway town.
Once a month, the Churna women would arduously trek with the surplus produce to Tendua. In the Tendua market, they convey the virtues of their produce through a beautiful song and dance routine. Reputed for their hard- bargaining skills, they always manage to extract a premium barter from the traders, more than fulfilling all their other material needs.
Damu, an ambitious trader of Tendua, wants to have exclusive access to all the surplus produce from Churna.
Which of the following offers to the Churna village will help Damu achieve her objective most successfully?
a)Damu should offer to set up a shop in Churna, which will barter all the material requirements of the village
b)Damu should offer to provide colourful sarees that the women of Churna fancy.
c)Damu should offer to educate the Churna villagers about cash transactions.
d)Damu should offer novel products, unseen by the Churna villagers.
e)Damu should offer to transport the villagers’ monthly material purchases from Tendua to Churna for free.
Explanation
SOLUTION[A]
The best course of action for Damdu would be option A that is to set up a shop in Churna which will barter all the material requirements of the village. In this way the women of Churna would not sell their products in the Tendua market instead they sell them to Damdu as it would avoid transportation cost if they get all the materials for their requirement
Question-5
Read the contents of the passage carefully and answer the questions that follow:
There are only four neighbourhoods in a city – Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:
1. There was at least one new case in every neighbourhood on Day 1. 2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2
4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
5. Kitmisto is the only place to have 3 new cases on Day 2.
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.
On how many days did Levmisto and Tyhrmisto have the same number of new cases ?
a)FIVE
b)TWO
c)ONE
d)SIX
e)NIL
Explanation
SOLUTION [A] FIVE
From statement 6, it can be concluded that the total number of new cases is equal to 12+12+5+14 = 43.
Also, since the total number of cases in Kitmisto is 14, it can be concluded that the number of cases each day is either 2 or 3, where 3 cases are recorded on 4 days and 2 cases are recorded on 1 day. From statement 4, it can be concluded that the number of new cases for Pesmisto will be 0,1,1,1, and 2, in any order(Since the total number of
cases is 5, and the maximum number of new cases is 2).
In statement 3, it is given that the number of new cases kept increasing during the 5-day period.
Now, as it is already known that the maximum number of cases for Pesmisto is 2, the maximum total number of cases in a day(or on day 5) will be less than 12.
Let us consider the maximum number of cases on Day 5 as 10.
Thus the maximum number of cases possible for the remaining days will be 9, 8, 7, and 6. So, the total number of maximum cases possible for this case will be 40(less than 43).
Thus, the number of cases on Day 5 will be 11(i.e., b/w 10 and 11)
Now, if the number of cases on Day 4 is 9, the maximum number of cases possible for the remaining
days will be 8, 7, and 6.
Thus, the maximum number of cases, in this case, will be 41 (less than 43).
So, the number of cases on day 4 will be 10.
Now, if the number of cases on Day 3 is 8, the number of cases on day 2 will be 7, and the maximum
possible number of cases on Day 1 will be 6.
Thus, the number of cases, in this case, will be 42(less than 43).
Thus, the number of cases on day 3 will be 9, the number of cases on day 2 will be 8, and the number of cases on day 1 will be 5.
| NEIGH | DAY 1 | 2 | 3 | 4 | 5 | TOTAL |
| LEV | 12 | |||||
| THRY | 12 | |||||
| PES | 5 | |||||
| KIT | 14 | |||||
| TOTAL | 5 | 8 | 9 | 10 | 11 | 43 |
Since all the neighbourhood has at least one case on Day 1, the only possible combination will be 1, 1, 1, and 2 for Levmisto, Tyhrmisto, Pesmisto and Kitmisto, respectively.
Now, for the other 4 days, the number of cases in Kitmisto will be 3.
For day 5, the number of cases will be 3, 3, 2, and 3 for Levmisto, Tyhrmisto, Pesmisto and Kitmisto, respectively(since the maximum number of cases in Pesmisto is 2).
And since Pesmisto only has the maximum number of cases on one day, the number of cases on day 4 will be 3, 3, 1, and 3 for Levmisto, Tyhrmisto, Pesmisto and Kitmisto, respectively.
On day 2, since Kitmisto is the only neighbourhood to have 3 cases, the number of cases on day 2 will be 2, 2, 1, and 3 for Levmisto, Tyhrmisto, Pesmisto and Kitmisto, respectively.
Now, on day 3, the number of cases will be 3, 3, 0, and 3 for Levmisto, Tyhrmisto, Pesmisto and Kitmisto, respectively.
Thus, the final table will be as follows
| NEIGH | DAY 1 | 2 | 3 | 4 | 5 | TOTAL |
| LEV | 1 | 2 | 3 | 3 | 3 | 12 |
| THRY | 1 | 1 | 3 | 1 | 2 | 12 |
| PES | 1 | 3 | 0 | 3 | 3 | 5 |
| KIT | 2 | 3 | 3 | 3 | 3 | 14 |
| TOTAL | 5 | 8 | 9 | 10 | 11 | 43 |
Question-6
Read the contents of the passage carefully and answer the questions that follow:
There are only four neighbourhoods in a city – Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:
1. There was at least one new case in every neighbourhood on Day 1. 2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2
4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
5. Kitmisto is the only place to have 3 new cases on Day 2.
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.
On which day(s) did Pesmisto have no new case at all ?
a)on day 1 and day 2
b)only on day 2
c)only on day 1
d)on day 1 and day 4
e)only on day 3
Explanation
SOLUTION[E] ONLY ON DAY 3
Question-7
Read the contents of the passage carefully and answer the questions that follow:
There are only four neighbourhoods in a city – Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:
1. There was at least one new case in every neighbourhood on Day 1. 2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2
4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
5. Kitmisto is the only place to have 3 new cases on Day 2.
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.
Which of the following can be correctly concluded about the number of new cases in Levmisto on Day 3 ?
a)There have been exactly 1 case in Levmisto on Day 3
b)There have been exactly 3 cases in Levmisto on Day 3
c)There have been exactly 7 cases in Levmisto on Day 3
d)There have been exactly 4 cases in Levmisto on Day 3
e)there have been either 4 or 7 casr in levimisto on day 3
Explanation
SOLUTION[B]
There have been exactly 3 cases in Levmisto on Day 3
Question-8
Read the contents of the passage carefully and answer the questions that follow:
There are only four neighbourhoods in a city – Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:
1. There was at least one new case in every neighbourhood on Day 1. 2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2
4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
5. Kitmisto is the only place to have 3 new cases on Day 2.
6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.
What can be concluded most correctly about the total number of new cases in the city on Day 2?
a)There have been exactly 6 cases on Day 2
b)There have been exactly 8 cases on Day 2
c)There have been exactly 7 cases on Day 2
d)There have been exactly 6or 7 cases on Day 2
e)There have been exactly 13 cases on Day 2
Explanation
SOLUTION[B]-
There have been exactly 8 cases on Day 2
Question-9
Read the information given carefully and answer the question that follows:
Arnav has to go to the country of Ten to work on a series of tasks for which he must get a permit from the Government of Ten. Once the permit is issued, Arnav can enter the country within ten days of the date of issuance of the permit. Once Arnav enters Ten, he can stay for a maximum of ten days. Each of the tasks has a priority, and takes a certain number of days to complete. Arnav cannot work on more than one task at a time.
The following table gives the details of the priority and the number of days required for each task.
| TASK | PIROTIY | NO OF DAY NEEDED |
| T1 | 1 | 3 |
| T2 | 2 | 5 |
| T3 | 3 | 3 |
| T4 | 4 | 4 |
| T5 | 5 | 2 |
Arnav’s first priority is to complete as many tasks as possible, and then try to complete the higher priority tasks. His last priority is to go back as soon as possible.
Which of the following tasks should Arnav complete earliest
a)T3,T4 AND T5
b)T1 AND T3
c)T1 AND T2
d)T1,T2 AND T5
e)T2 ,T3 AND T5
Explanation
SOLUTION[D]
T1,T2, AND T5 According to the data given in previous question, Arun have 10 days to do a background check, as he have to enter within 10 days of receiving permit.
The number of tasks that can be completed in this case is also 3.
Arun can complete T1, T2, and T5 or T1, T3, and T4 or T1, T3, and T5 or T2, T3, and T5 or T1, T4, and T5.
In this case, the time required to complete T1, T2, and T5 exceeds 10 days. The same is the case with T1, T2, and T3.
Among the given options, both options D and E are possible cases.
T5 is a higher priority task than T3. Therefore, Arun should try to complete T1, T2, and T5.
Therefore, option E is the right answer
Question-10
In a square layout of size 5m x 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are:
| 6 | 1 | 2 | 4 | 3 |
| 9 | 5 | 3 | 2 | 8 |
| 7 | 8 | 4 | 6 | 5 |
| 3 | 9 | 5 | 1 | 2 |
| 1 | 7 | 6 | 3 | 9 |
Individuals (all of same height) are seated on these platforms. We say an individual A can reach
an individual B if all the three following conditions are met:
1.) A and B are In the same row or column
ii.) A is at a lower height than B
iii.) If there is/are any individual(s) between A and B, such individual(s) must be at a height lower than that of A.
Thus in the table given above, consider the Individual seated at height 8 on 3rd row and 2nd column. He can be reached by four individuals. He can be reached by the individual on his left at height 7, by the two individuals on his right at heights of 4 and 6 and by the individual above at height 5. Rows in the layout are numbered from top to bottom and columns are numbered from left to right.
How many individuals in this layout can be reached by just one individual?
a)6
b)4
c)3
d)7
e)8
Explanation
SOLUTION[D]=7
Question-11
In a square layout of size 5m x 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are:
| 6 | 1 | 2 | 4 | 3 |
| 9 | 5 | 3 | 2 | 8 |
| 7 | 8 | 4 | 6 | 5 |
| 3 | 9 | 5 | 1 | 2 |
| 1 | 7 | 6 | 3 | 9 |
Individuals (all of same height) are seated on these platforms. We say an individual A can reach an individual B if all the three following conditions are met:
1.) A and B are In the same row or column
ii.) A is at a lower height than B
iii.) If there is/are any individual(s) between A and B, such individual(s) must be at a height lower than that of A.
Thus in the table given above, consider the Individual seated at height 8 on 3rd row and 2nd column. He can be reached by four individuals. He can be reached by the individual on his left at height 7, by the two individuals on his right at heights of 4 and 6 and by the individual above at height 5. Rows in the layout are numbered from top to bottom and columns are numbered from left to right.
Which of the following is true for any individual at a platform of height 1m in this layout ?
a)They can be reached by all the individuals in their own row and column.
b)They can be reached by a maximum of two individuals
c)They can be reached by at least one individual.
d)They cannot be reached by anyone.
e)They can be reached by at least four individuals
Explanation
SOLUTION[D]
Question-12
Read the information given below carefully and answer the questions that follow:
The rainfall data of Five different cities of a particular year is provided below. The five cities are: Last Stand, Mile City, New Town, Olliopolis, and Polberg. The cities are located in five different geographical areas of a country named Bulbula. The different geographical areas of Bulbula are the mountains, the forest, the coast, the desert, and valley. The rainfall amounts were: 12 inches, 27 inches, 32 inches, 44 inches, and 65 inches.
* The city in the desert got the least rain; the city in the forest got the most rain.
* New Town is in the mountains.
* Last Stand got more rain than Olliopolis.
* Mile City got more rain than Polberg, but less rain than New Town.
* Olliopolis got 44 inches of rain.
* The city in the mountains got 32 inches of rain; the city on the coast got 27 inches of rain.
Which city is located in the desert ?
a)last stand
b)poiberg
c)new town
d)mile city
e)olliopollis
Explanation
SOLUTION[B] POLBERG
Last Stand = 65 Inches = Forest.
Mile City 27 Inches Coast.
New Town = Mountain = 32 Inches.
Olliopolis = 44 Inches = Valley.
Polberg 12 Inches = Desert.
12 inches.
27 inches.
32 inches.
44 inches.
65 inches.
Question-13
Read the information given below carefully and answer the questions that follow:
The rainfall data of Five different cities of a particular year is provided below. The five cities are: Last Stand, Mile City, New Town, Olliopolis, and Polberg. The cities are located in five different geographical areas of a country named Bulbula. The different geographical areas of Bulbula are the mountains, the forest, the coast, the desert, and valley. The rainfall amounts were: 12 inches, 27 inches, 32 inches, 44 inches, and 65 inches.
* The city in the desert got the least rain; the city in the forest got the most rain.
* New Town is in the mountains.
* Last Stand got more rain than Olliopolis.
* Mile City got more rain than Polberg, but less rain than New Town.
* Olliopolis got 44 inches of rain.
* The city in the mountains got 32 inches of rain; the city on the coast got 27 inches of rain.
How much rain did the Mile City receive in the given year?
a)44
b)65
c)12
d)27
e)32
Explanation
SOLUTION=[D] -27
Last Stand = 65 Inches = Forest.
Mile City 27 Inches Coast.
New Town = Mountain = 32 Inches.
Olliopolis = 44 Inches = Valley.
Polberg 12 Inches = Desert.
12 inches.
27 inches.
32 inches.
44 inches.
65 inches.
Question-14
Read the information given below carefully and answer the questions that follow:
The rainfall data of Five different cities of a particular year is provided below. The five cities are: Last Stand, Mile City, New Town, Olliopolis, and Polberg. The cities are located in five different geographical areas of a country named Bulbula. The different geographical areas of Bulbula are the mountains, the forest, the coast, the desert, and valley. The rainfall amounts were: 12 inches, 27 inches, 32 inches, 44 inches, and 65 inches.
* The city in the desert got the least rain; the city in the forest got the most rain.
* New Town is in the mountains.
* Last Stand got more rain than Olliopolis.
* Mile City got more rain than Polberg, but less rain than New Town.
* Olliopolis got 44 inches of rain.
* The city in the mountains got 32 inches of rain; the city on the coast got 27 inches of rain.
Which amongst the following city is situated in the valley ??
a)polberg
b)new town
c)mile city
d)last stand
e)ollopolis
Explanation
SOLUTION[E] – OLLOPOLIS
Last Stand = 65 Inches = Forest.
Mile City 27 Inches Coast.
New Town = Mountain = 32 Inches.
Olliopolis = 44 Inches = Valley.
Polberg 12 Inches = Desert.
12 inches.
27 inches.
32 inches.
44 inches.
65 inches.
Question-15
Read the information given below carefully and answer the questions that follow:
The rainfall data of Five different cities of a particular year is provided below. The five cities are: Last Stand, Mile City, New Town, Olliopolis, and Polberg. The cities are located in five different geographical areas of a country named Bulbula. The different geographical areas of Bulbula are the mountains, the forest, the coast, the desert, and valley. The rainfall amounts were: 12 inches, 27 inches, 32 inches, 44 inches, and 65 inches.
* The city in the desert got the least rain; the city in the forest got the most rain.
* New Town is in the mountains.
* Last Stand got more rain than Olliopolis.
* Mile City got more rain than Polberg, but less rain than New Town.
* Olliopolis got 44 inches of rain.
* The city in the mountains got 32 inches of rain; the city on the coast got 27 inches of rain.
Which city of Bulbula got the most rain in the given year?
a)new town
b)polberg
c)olliopolis
d)mile city
e)last stand
Explanation
SOLUTION-[E] LAST STAND
Last Stand = 65 Inches = Forest.
Mile City 27 Inches Coast.
New Town = Mountain = 32 Inches.
Olliopolis = 44 Inches = Valley.
Polberg 12 Inches = Desert.
12 inches.
27 inches.
32 inches.
44 inches.
65 inches.
