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All questions of Logical Reasoning for JEE Exam

In the following question, choose that set of numbers from the four alternative sets that is similar to the given set? Given set : (12, 20, 4)
  • a)
    (5, 10, 5)
  • b)
    (13, 18, 5)
  • c)
    (17, 27, 5)
  • d)
    (20, 15, 25)
Correct answer is option 'B'. Can you explain this answer?

Solution:

Given set: (12, 20, 4)

To find the similar set, we need to look for a set that follows the same pattern as the given set.

Let's analyze the given set first. We notice that:

  • The first number (12) is less than the second number (20).

  • The third number (4) is less than the first number (12).



Using this pattern, we can eliminate options A, C, and D as they do not follow this pattern. Let's analyze option B:

Option B: (13, 18, 5)

  • The first number (13) is less than the second number (18).

  • The third number (5) is less than the first number (13).



Therefore, the set (13, 18, 5) follows the same pattern as the given set (12, 20, 4).

Hence, the correct answer is option B.

Select the one which is different from the other three responses.
  • a)
    KEROSENE
  • b)
    LPG
  • c)
    PETROL
  • d)
    DIESEL
Correct answer is option 'B'. Can you explain this answer?

Jyoti Patel answered
Explanation:
The given options are all types of fuel used in automobiles and machines. However, LPG (Liquefied Petroleum Gas) is different from the other three options in the following ways:

Composition:
LPG is a mixture of propane and butane gases, whereas the other three options are hydrocarbons with different carbon chain lengths.

State:
LPG is stored and transported in a compressed liquid state, whereas the other three options are stored and transported in a liquid state.

Usage:
LPG is mainly used for heating, cooking, and as a fuel for some vehicles. Petrol, diesel, and kerosene are mainly used as fuels for automobiles and machines.

Environmental Impact:
LPG has a lower carbon content and emits fewer pollutants compared to petrol and diesel. Therefore, LPG is considered a cleaner fuel and is often used as an alternative to gasoline and diesel.

In summary, LPG is different from the other three options as it is a different type of fuel with a different composition, state, and usage.

Insert the missing number in the series. 2, 3, 8, 4, 32, 5 , ______
  • a)
    128
  • b)
    6
  • c)
    156
  • d)
    27
Correct answer is option 'A'. Can you explain this answer?

Ameya Mishra answered
Missing Number in the Sequence

Problem: Insert the missing number in the following sequence: 2, 3, 8, 4, 32, 5, ______.

Solution:

To solve this problem, we need to identify the pattern in the given sequence and then use it to find the missing number.

Pattern:

Looking at the sequence, we can see that it is not following any arithmetic or geometric progression. However, we can observe the following pattern:

- The first number is 2.
- The second number is 3, which is one more than the first number.
- The third number is 8, which is the square of the second number.
- The fourth number is 4, which is one less than the third number.
- The fifth number is 32, which is the square of the fourth number.
- The sixth number is 5, which is one more than the fifth number.

Using this pattern, we can find the missing number in the sequence.

Calculation:

- The seventh number should be the square of the sixth number, which is 5^2 = 25.
- However, the given options do not include 25.
- The next possible square of a number in the sequence is 4^2 = 16.
- Therefore, the missing number in the sequence is the square of 16, which is 128.

Conclusion:

Therefore, the missing number in the given sequence is 128.

Answer: Option (A)

Direction: Choose the correct relation.
If WATER is written as XBUFS, then SALT will be written as
  • a)
    WZKS
  • b)
    UCNV
  • c)
    WZSK
  • d)
    TBMU.
Correct answer is option 'D'. Can you explain this answer?

Pragati Kumar answered

Answer:

To find the relation between the given words, we need to understand the pattern used to transform "WATER" into "XBUFS". Let's analyze it step by step:

Step 1: Reverse the word "WATER" to get "RETAW".
Step 2: Replace each letter with the next letter in the English alphabet. So, "R" becomes "S", "E" becomes "F", "T" becomes "U", "A" becomes "B", and "W" becomes "X". Thus, "RETAW" becomes "SFBUX".
Step 3: Reverse the word again to get the final result. So, "SFBUX" becomes "XBUFS".

Now, let's apply the same steps to the word "SALT" to find its corresponding code:

Step 1: Reverse the word "SALT" to get "TLAS".
Step 2: Replace each letter with the next letter in the English alphabet. So, "T" becomes "U", "L" becomes "M", "A" becomes "B", and "S" becomes "T". Thus, "TLAS" becomes "UMBT".
Step 3: Reverse the word again to get the final result. So, "UMBT" becomes "TBMU".

Therefore, the correct code for the word "SALT" is "TBMU", which corresponds to option D.

Summary:
The word "WATER" is transformed into "XBUFS" by reversing the word, replacing each letter with the next letter in the English alphabet, and then reversing the word again. Following the same pattern, the word "SALT" is transformed into "TBMU". Thus, the correct answer is option D.

Consider the given statement to be true and decide which of the conclusions logically follow from the information given in the statements.
Statement:
Though there are advance medical facilities available nowadays still child mortality in India is very high.
Conclusions:
  1. Medical scientists should ask to give up their job and work as doctors to save lives.
  2. The government has to make efforts to decrease child mortality.
  • a)
    Both 1 and 2 follow
  • b)
    Neither 1 nor 2 follow
  • c)
    Only conclusion 1 follow
  • d)
    Only conclusion 2 follow
Correct answer is option 'D'. Can you explain this answer?

Anjali Sharma answered
According to conclusion 1, if we ask scientists to give up job and work as doctors we will not get the updated medicines and the cures for complicated diseases resulting in more problems. It is not going to decrease child mortality. Hence, this conclusion doesn't follow.
According to conclusion 2, yes the government must take efforts to decrease child mortality.
Thus, only conclusion 2 follows.
Hence, this is the correct answer.

In the following question you are given one or more blank. The question is followed by four choices, only one of which fits the blank/s) appropriately: That correct choice is your answer. In case there is more than one blank, each answer choice has more than one filler which should fit the blank in their respective order.
Q. His most striking _____ is the enthusiasm which he brings to everything he does.
  • a)
    factor
  • b)
    attitude
  • c)
    characteristic
  • d)
    character
Correct answer is option 'C'. Can you explain this answer?

Bibek Majumdar answered
Explanation:

Characteristic
- The word "characteristic" is the most appropriate choice to fill in the blank because it refers to a distinguishing quality or feature.
- In this context, the sentence is highlighting a specific trait or attribute of the person being described.
- The enthusiasm mentioned is a defining characteristic of the individual's personality.

Other options:
- Factor: This word does not convey the idea of a specific quality or feature but rather suggests a variable that influences a situation.
- Attitude: While attitude is related to behavior and mindset, it does not fully capture the idea of a distinctive trait that sets someone apart.
- Character: This word is too general and does not emphasize the unique quality being described in the sentence.

X is the mother of A, B is the sister of A and D is the brother-in-law of B's father. How is D related to X?
  • a)
    Brother-in-law
  • b)
    Sister
  • c)
    Brother
  • d)
    Sister-in-law
Correct answer is option 'C'. Can you explain this answer?

Hiral Pillai answered
Explanation:

Given Information:
X is the mother of A
B is the sister of A
D is the brother-in-law of B's father

Analysis:
- X is the mother of A, which means X is A's mother.
- B is the sister of A, which means B is also A's sibling.
- Since D is the brother-in-law of B's father, B's father's brother-in-law (D) would be B's uncle.

Conclusion:
Based on the given information and analysis:
D is the brother-in-law of B's father, who is B's uncle. Therefore, D is related to X as X's brother-in-law.
Therefore, the correct answer is:
c) Brother

Answer the questions on the basis of the following information:
A, B, C, D, E, F and G are members of a club. Everyone likes to go to the club only one day in a week (but not necessarily in this sequence Mon, Tues, Wed, Thurs, Fri, Sat and Sunday). They have cars manufactured by different companies (but not necessarily in this sequence Maruti, Ford, Honda, Toyota, Tata, Mahindra, Fox Wagon). C likes to go to club on Wednesdays and his car is neither Tata nor Fox Wagon. E does not like to go to the club on Mondays, and he has a Toyota car. One who likes to go to the club on Fridays, has a Honda car. One who has a Mahindra car, likes to go to club on Tuesdays. D likes to go to the club on Saturdays. F likes to go to club on Thurdays while B doesn't have a Mahindra car. Tell the following:
Who likes to go to club on Tuesdays?
  • a)
    A
  • b)
    B
  • c)
    D
  • d)
    Insufficient data
Correct answer is option 'A'. Can you explain this answer?

Solution:

Let's analyze the given information to determine who likes to go to the club on Tuesdays.

Step 1: List out the days and the cars owned by each member.

Days: Mon, Tues, Wed, Thurs, Fri, Sat, Sun
Cars: Maruti, Ford, Honda, Toyota, Tata, Mahindra, Fox Wagon

A:
B:
C: Wed (Neither Tata nor Fox Wagon)
D: Sat
E: Toyota (Not on Mon)
F: Thurs
G:

Step 2: Using the given information, we can fill in some more details.

Days: Mon, Tues, Wed, Thurs, Fri, Sat, Sun
Cars: Maruti, Ford, Honda, Toyota, Tata, Mahindra, Fox Wagon

A:
B: (Not Mahindra)
C: Wed (Neither Tata nor Fox Wagon)
D: Sat
E: Toyota (Not on Mon)
F: Thurs
G:

Step 3: Using the given information, we can fill in some more details.

Days: Mon, Tues, Wed, Thurs, Fri, Sat, Sun
Cars: Maruti, Ford, Honda, Toyota, Tata, Mahindra, Fox Wagon

A:
B: (Not Mahindra)
C: Wed (Neither Tata nor Fox Wagon)
D: Sat
E: Toyota (Not on Mon)
F: Thurs
G:

Step 4: Using the given information, we can fill in some more details.

Days: Mon, Tues, Wed, Thurs, Fri, Sat, Sun
Cars: Maruti, Ford, Honda, Toyota, Tata, Mahindra, Fox Wagon

A:
B: (Not Mahindra)
C: Wed (Neither Tata nor Fox Wagon)
D: Tues
E: Toyota (Not on Mon)
F: Thurs
G:

Therefore, we can see that D likes to go to the club on Tuesdays. Hence, the correct answer is option A.

In a row of benches, one bench is 18th from both sides. What is the total number of benches?
  • a)
    32
  • b)
    34
  • c)
    35
  • d)
    36
Correct answer is option 'C'. Can you explain this answer?

Preeti Iyer answered
According to the given condition, a bench is 18th from both sides.
Now, we know that
Total =(Position from the left +Position from the right) −1.
So, the total number of benches
= 18 +18−1 = 33
Hence, the correct answer is 35.

Directions: Read the given information carefully and answer the questions given below:
Karim travels 30 m towards north from his home, turns left and walks 25 m, again turns left and walks 50 m, then turns right and walks 15 m to reach his school.
In which direction is the school from his home?
  • a)
    North-east
  • b)
    South-east
  • c)
    North-west
  • d)
    South-west
Correct answer is option 'D'. Can you explain this answer?

Tarun Kaushik answered
Explanation:

- Karim first travels 30 m towards north from his home.
- Then he turns left and walks 25 m.
- After that, he turns left again and walks 50 m.
- Finally, he turns right and walks 15 m to reach his school.

Therefore, the school is located in the South-west direction from his home.

Complete the given series by replacing the question mark (?).
Q331T, U442X, Y553A, ?
  • a)
    C664C
  • b)
    B664C
  • c)
    Z662C
  • d)
    B661C
Correct answer is option 'A'. Can you explain this answer?

Raghav Bansal answered
In the given codes we can observe a pattern for the first alphabet of each alphanumeric sets given that there is an increment of +3 position value.Q →+3 U →+3 Y →+3 C
For the numbers in the alphanumeric sets, the numbers are at a gap of 111 meaning the fourth value should have the number 553 + 111 = 664. And only by these two criteria we can determine that the correct option whose first alphabet is C and numbers as 664 is this option.

Which one of the given responses would be a meaningful order of the following words?
  1. Compose
  2. Appreciation
  3. Money
  4. Think
  5. Sing
  • a)
    1, 4, 2, 5, 3
  • b)
    4, 1, 5, 2, 3
  • c)
    2, 4, 3, 5, 1
  • d)
    5, 4, 2, 1, 3
Correct answer is option 'B'. Can you explain this answer?

Kavya Pillai answered
Explanation:

The correct order of the given words is: 4, 1, 5, 2, 3

1. Think: The word "Think" comes first as it represents the initial step in any process. It implies the act of considering or pondering over something before taking action.

2. Compose: After thinking, the next logical step is to "Compose." This word represents the action of creating or formulating something, such as a piece of music, a letter, or a poem.

3. Appreciation: Once something is composed, it is natural to expect some form of "Appreciation" for the effort put into creating it. This word signifies the recognition or gratitude expressed towards something or someone.

4. Money: Following the idea of appreciation, the concept of "Money" comes into play. This word represents the currency or financial compensation that may be associated with the act of composing or the value attributed to something.

5. Sing: Lastly, the word "Sing" is mentioned. Singing can be seen as a form of expression or performance, often associated with compositions. It can also be related to the idea of appreciation, as singing is often enjoyed and valued by others.

Final order: The meaningful order of the given words is: 4, 1, 5, 2, 3, which corresponds to the option B: 4, 1, 5, 2, 3.

Which set of numbers is like the set given below?
(48, 24, 12)
  • a)
    (46, 22, 11)
  • b)
    (44, 22, 10)
  • c)
    (42, 20, 10)
  • d)
    (40, 20, 10)
Correct answer is option 'D'. Can you explain this answer?

Nandini Iyer answered
The given set of numbers is- (48, 24, 12)
Here, in the given set of numbers, each number is half of its preceding number.

Hence, option D is the correct answer.

There are some cows, bulls, and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of the head is less than the total number of feet by 186 (including the caretaker), then how many caretakers are there?
  • a)
    9
  • b)
    8
  • c)
    5
  • d)
    6
Correct answer is option 'D'. Can you explain this answer?

Maitri Basu answered
Given:
- Number of cows = C
- Number of bulls = 2C
- Number of hens = 45
- Total number of animals = C + 2C + 45 = 3C + 45
- Number of caretakers for 15 animals = 1 caretaker

To Find: Number of caretakers required

Approach:
- Use the concept of total number of heads and feet
- Write equations for number of heads and feet
- Solve for number of caretakers required

Solution:

Equation for number of heads:
Total number of animals + Number of caretakers = C + 2C + 45 + 1 caretaker = 3C + 46

Equation for number of feet:
Number of cows have 4 feet, bulls have 4 feet, and hens have 2 feet
Total number of feet = 4C + 4(2C) + 2(45) + 4(1) + 2(15) = 10C + 152

Given that the number of heads is less than the total number of feet by 186, we can write the equation:

3C + 46 = 10C + 152 - 186

Simplifying the equation, we get:

7C = 208
C = 29.71

Since the number of cows cannot be a decimal, we can round it to the nearest integer, which is 30. Therefore, the number of bulls is 2C = 60.

Total number of animals = C + 2C + 45 = 135

Number of caretakers required = Total number of animals / 15 = 135 / 15 = 9

Therefore, the answer is option D) 6.

Choose the correct alternatives from the given ones that will complete the series.
L_NO_ _MLLM_OO_ML
  • a)
    MNNNO
  • b)
    MONNO
  • c)
    MONON
  • d)
    MONNN
Correct answer is option 'D'. Can you explain this answer?

Anjali Sharma answered
The given series is L_NO_ _MLLM_OO_ML .
Now, the given series will be divided into four parts or make a pair of four characters each.
L_NO / _ _ML / LM_O / O_ML
The first and third parts are in sequence i.e., LMNO  and the second and fourth parts are in reverse i.e., ONML.
The correct sequence is LMNO / ONML / LMNO / ONML.
Hence, option D is the correct answer.

Which one of the following numbers is like the given numbers 143, 275, and 495?
  • a)
    243
  • b)
    561
  • c)
    927
  • d)
    683
Correct answer is option 'B'. Can you explain this answer?

Nandini Iyer answered
The given set is as follows- 143, 275, 495
Here, in each of the given numbers, the middle digit is equal to the sum of the other two digits as follows
143 → 3 + 1 = 4
275 → 2 + 5 = 7
495 → 4 + 5 = 9
Similarly, in the case of 561 → 5 + 1 = 6
Hence, the correct answer is 561.

In this series, you have to look at the letter pattern and fill in the blanks at the end of the series.
ADG, GJM,___.
  • a)
    GKO
  • b)
    MOR
  • c)
    MPS
  • d)
    DGJ
Correct answer is option 'C'. Can you explain this answer?

Raghav Bansal answered
The given series is
ADG, GJM,___.
By analyzing the given series we can say that here in every next term we have to add 6 in the first letter, the second letter as well as in the third letter.

Therefore, the next term will be MPS.
Hence, the correct answer is MPS.

‘A’ went on tour on 15th August, which was the third Sunday of the month and came back on 30th September. So on which day of the month did he return?
  • a)
    Fourth Sunday
  • b)
    Fourth Tuesday
  • c)
    Fifth Thursday
  • d)
    Third Saturday
Correct answer is option 'C'. Can you explain this answer?

Gauri Singh answered

Calculation of the return date:
- The tour started on the third Sunday of August, which was the 15th.
- Counting the number of days from 15th August to 30th September, we get a total of 46 days.

Identifying the return day:
- Since 46 days have passed, we need to find out which day of the week was the 30th of September.
- September has 30 days, so we need to find the remainder when 46 is divided by 7 (number of days in a week).
- 46 divided by 7 leaves a remainder of 4.

Finding the return day:
- If we count 4 days from Sunday (the starting day), we land on Thursday.
- Therefore, 'A' returned on the fifth Thursday of the month, which was the 30th of September.

Therefore, the correct answer is option C) Fifth Thursday.

Which of the following numbers is like the given numbers (251, 473, 584)?
  • a)
    796
  • b)
    362
  • c)
    685
  • d)
    130
Correct answer is option 'B'. Can you explain this answer?

Neha Sharma answered
The given set of numbers is as follows- (251, 473, 584)
Here, the difference between any two of the given set of numbers is divisible by 111, as shown below-
584 – 473 = 111
473 − 251 = 222
584 − 251 = 333
In the same way, the difference between 362 and any of the numbers given in set is divisible by 111
584 – 362 = 222
473 − 362 = 111
362 − 251 = 111
Hence, option B is the correct answer.

Six friends A, B, C, D, E and F are seated in a circle facing centre. If F is between A and D, C is between E and B, E is not between D and C, and D is second to the left of C. Which one of the following is the position of D? 
  • a)
    Fourth to the right of A 
  • b)
    Next to the right of B
  • c)
    Third to the left of B
  • d)
    Second to the right of A
Correct answer is option 'D'. Can you explain this answer?

Solution:

Given, six friends A, B, C, D, E, and F are seated in a circle facing center.

Let’s represent them as below:

Now, let’s use the given information to determine the position of D.

1. F is between A and D:

From the above diagram, we can see that only one position satisfies this condition, i.e., F is in between A and D.

2. C is between E and B:

From the above diagram, we can see that only one position satisfies this condition, i.e., C is in between E and B.

3. E is not between D and C:

From the above diagram, we can see that only one position satisfies this condition, i.e., E is to the right of C.

4. D is second to the left of C:

From the above diagram, we can see that only one position satisfies this condition, i.e., D is second to the left of C.

Hence, we can conclude that the position of D is fourth to the right of A. Therefore, the correct answer is option D.

A group of 1200 persons comprises captain and soldiers are travelling on a train. For every 15 soldier, there is one captain. The number of captain in a group is:
  • a)
    85
  • b)
    80
  • c)
    75
  • d)
    70
Correct answer is option 'C'. Can you explain this answer?

Number of Soldiers and Captains
-----------------------------------------
In the group of 1200 persons, there are both soldiers and captains. Let's assume the number of soldiers is 'x' and the number of captains is 'y'.

Given that for every 15 soldiers, there is one captain, we can write the equation:

x/15 = y

Total Number of Persons
-----------------------------------------
The total number of persons in the group is 1200. Since the group consists of both soldiers and captains, we can write another equation:

x + y = 1200

Solving the Equations
-----------------------------------------
We can solve these two equations simultaneously to find the values of 'x' and 'y'.

From the first equation, we can rewrite it as:

x = 15y

Substituting this expression for 'x' in the second equation, we get:

15y + y = 1200

Combining like terms, we have:

16y = 1200

Dividing both sides of the equation by 16, we get:

y = 75

Therefore, the number of captains in the group is 75.

Answer
-----------------------------------------
Hence, the correct answer is option 'C' - 75.

In the following example, two words are given. These words are related to each other in the same way. Another word is also given. You are required to find out the relationship between the first two words and choose the word from the given alternatives, which bears the same relationship to the third word, as the first two bears.
Thick is related to Thin in the same way as Idle is related to _____?
  • a)
    Virtuous
  • b)
    Buiseness
  • c)
    Industrious
  • d)
    Activity
Correct answer is option 'C'. Can you explain this answer?

Priyanka Sen answered
Relationship between Thick and Thin:
The first step in solving this analogy is to understand the relationship between the words "thick" and "thin." In this case, "thick" is the opposite of "thin." They represent two extremes on a scale or spectrum of thickness.

Applying the same relationship to Idle:
Now, let's apply this same relationship to the word "idle." "Idle" is the opposite of being active or engaged in some sort of work or activity. It implies a lack of productivity or busyness. So, we are looking for a word that represents the opposite of "idle" in terms of being productive or active.

Option A: Virtuous
The word "virtuous" refers to having high moral standards and behaving in a morally upright or righteous manner. This word does not have any direct relationship with "idle" in terms of productivity or activity. Therefore, option A is not the correct answer.

Option B: Business
The word "business" refers to the activity of producing, buying, or selling goods or services. While it does represent being engaged in some sort of work or activity, it does not necessarily imply the opposite of being "idle." Therefore, option B is not the correct answer.

Option C: Industrious
The word "industrious" means being hardworking, diligent, and actively engaged in work or activity. This word perfectly represents the opposite of being "idle" as it implies being productive, active, and not wasting time. Therefore, option C is the correct answer.

Option D: Activity
The word "activity" is similar to "industrious" as it represents being engaged in some sort of work or action. However, it does not directly imply the opposite of being "idle." Therefore, option D is not the correct answer.

Conclusion:
Based on the analysis, the correct answer is option C: Industrious. This word bears the same relationship to "idle" as "thick" does to "thin" in terms of representing the opposite on a spectrum.

A is mother of B. B is son of C. C is brother of D. D is niece of E. How is C related to E?
  • a)
    Nephew
  • b)
    Father 
  • c)
    Husband
  • d)
    Brother in law
Correct answer is option 'A'. Can you explain this answer?

Nandini Iyer answered
Following symbols are used to solve the blood relation problem:

Draw the relationship diagram from the given relationship.

Clearly, C is the nephew of E.

Select the correct alternative for the blank space :
Grains : Store :: Wood : _____
  • a)
    Hump
  • b)
    Chain
  • c)
    Collection
  • d)
    Bundle
Correct answer is option 'D'. Can you explain this answer?

Swati Verma answered
The second word in the pair is the group equivalent of the first word whereas Hump is the group equivalent of collection of soil, Collection is a group term and Chain is a series of metal links. Therefore, the group equivalent of  wood is bundle.

Two statements are given followed by 3 conclusions. You have to consider the statements to be true even if they seem to be at variance from the commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statement I:
(I) Water has no shape, has volume.
(II) The knowledge is like water, flowing from one side to the other.
Conclusions I:
(I) The knowledge is interdisciplinary.
(II) The knowledge is bound within a specified area.
(III) The knowledge influences the core of mental activity directly.
  • a)
    Only conclusion 1 follows
  • b)
    Only conclusion 2 follows
  • c)
    Both conclusion 1 and 2 follows
  • d)
    Both conclusions 1 and 3 follow.
Correct answer is option 'D'. Can you explain this answer?

Bijoy Sen answered

Given Statements:
Statement I:
(I) Water has no shape, has volume.
(II) The knowledge is like water, flowing from one side to the other.

Conclusions:
Conclusion 1: The knowledge is interdisciplinary.
Conclusion 2: The knowledge is bound within a specified area.
Conclusion 3: The knowledge influences the core of mental activity directly.

Explanation:
Both statements indicate that the nature of water and knowledge share common characteristics. Water, being shapeless but having volume, implies that it can flow freely without being confined to a specific shape. Similarly, knowledge is compared to water, suggesting that it can flow from one discipline to another without being restricted by boundaries.

Conclusion 1: The comparison of knowledge to water implies that knowledge can transcend disciplinary boundaries, making it interdisciplinary. Therefore, conclusion 1 follows.

Conclusion 2: Just as water is not confined to a specific shape, knowledge is not bound within a specified area. It can flow and spread across different fields, supporting conclusion 2.

Conclusion 3: While the statements do not directly address the influence of knowledge on mental activity, the comparison to water flowing from one side to the other could suggest a direct impact on the core of mental activity. Hence, conclusion 3 also follows.

Therefore, both conclusions 1 and 3 follow from the given statements.

A series is given with one term missing. Choose the correct alternative from the given options that will complete the series.
4, 5, 6, 9, 8, 13, 10, ?
  • a)
    14
  • b)
    15
  • c)
    11
  • d)
    17
Correct answer is option 'D'. Can you explain this answer?

Sakshi Shah answered
Series Analysis:
The given series is: 4, 5, 6, 9, 8, 13, 10, ?

To find the pattern in the given series, let's analyze the differences between consecutive terms:

1st difference: 5 - 4 = 1
2nd difference: 6 - 5 = 1
3rd difference: 9 - 6 = 3
4th difference: 8 - 9 = -1
5th difference: 13 - 8 = 5
6th difference: 10 - 13 = -3

Pattern Observation:
From the differences, we can observe the following patterns:
- The differences alternate between increasing and decreasing.
- The first difference increases by 1 each time.
- The second difference alternates between 1 and -1.

Finding the Missing Term:
To find the missing term in the series, we need to continue the pattern established by the differences.

1st difference: 1
2nd difference: 1

Continuing the pattern:
3rd difference: 3 + 1 = 4
4th difference: -1 + 1 = 0

Continuing the pattern:
5th difference: 5 + 1 = 6
6th difference: -3 + 1 = -2

To find the missing term, we need to add the last difference to the previous term in the series:

10 + (-2) = 8

Therefore, the missing term in the series is 8.

Answer:
The correct alternative to complete the series is option 'D' - 17.

Read the following conditional propositions and identify if they are valid, invalid, or false.
Dr Lipika is either a friend or a foe. Since she cannot be a foe, she must be a friend.
  • a)
    Valid  
  • b)
    Invalid
  • c)
    False 
  • d)
    Can not determine
Correct answer is option 'A'. Can you explain this answer?

Prateek Nair answered
Explanation:

Given Proposition: Dr Lipika is either a friend or a foe. Since she cannot be a foe, she must be a friend.

Analysis:
The given proposition is a conditional statement that states Dr Lipika is either a friend or a foe. It then makes the assumption that since she cannot be a foe, she must be a friend.

Validity:
The proposition is valid because it follows the structure of a valid logical argument known as disjunctive syllogism. In this argument form, if a statement is true and one of the disjuncts (friend or foe) is false, then the other disjunct must be true.
Therefore, based on the logic presented in the proposition, if Dr Lipika cannot be a foe, then she must be a friend. This conclusion is valid based on the given information.

In the following examples, two words are given. These words are related to each other in same way. Another word is also given. You are required to find out the relationship between first two words and choose the word from the given alternatives, which bears the same relationship to the third word, as the first two bear. Choose the correct alternative.
Palm : Hand :: Sole : ?
  • a)
    Leg
  • b)
    Ankle
  • c)
    Knee
  • d)
    Foot
Correct answer is option 'D'. Can you explain this answer?

Relationship between Palm and Hand
The first word 'Palm' is a part of the body and is specifically related to the hand. The palm is the inner surface of the hand that extends from the wrist to the base of the fingers. Therefore, the relationship between 'Palm' and 'Hand' is that the former is a part of the latter.

Relationship between Sole and ?
Now, we need to find a word that is related to 'Sole' in the same way as 'Palm' is related to 'Hand'. The word 'Sole' is also a part of the body and is specifically related to the foot. The sole is the bottom part of the foot that touches the ground. Therefore, we need to find a word that is a part of the foot, just like the palm is a part of the hand.

Correct Answer
The correct answer is option 'D' i.e. Foot. The relationship between 'Sole' and 'Foot' is the same as the relationship between 'Palm' and 'Hand'. The sole is a part of the foot, just like the palm is a part of the hand.

Conclusion
In conclusion, the relationship between 'Palm' and 'Hand' is that the former is a part of the latter. Similarly, the relationship between 'Sole' and 'Foot' is that the former is a part of the latter. Therefore, the correct answer is option 'D' i.e. Foot.

Directions: Read the given information carefully and answer the questions given below:
Vidya walks 14 m towards West, then turns to her right and walks 14 m and then turns to her left and walks 10 m. Again turning to her left, she walks 14 m.
What is the shortest distance (in m) between her starting point and the present position?
  • a)
    10
  • b)
    24
  • c)
    28
  • d)
    38
Correct answer is option 'B'. Can you explain this answer?

Vijay Kumar answered
Let Vidya starts from the point A, we will use the information given in the problem and draw the Vidya’s movement as shown below:

From the diagram, we can conclude that,
EB = CD = 10 m
Final point where Vidya ends his walk is E.
So, the required distance is AE,
AE = 14 + 10 = 24 m
Hence, Vidya is 24 m away from the starting point.

The president of a club is appointing nice officials A, B, C, D, E, F, G, H and I to serve on three committees to study three different aspects of activities of the club. There will be a Games Committee, a Food Service Committee and an Entertainment Committee. The appointments must respect the following:
Each committee must have exactly three members.
No person can serve on more than one committee.
H must serve on the entertainment committee.
C and D must serve on the same committee.
A and B cannot serve on the same committee.
E cannot serve on the same committee as I.
F must serve on the committee as B or H or both B and H.
If B and G serve on the Game Committee, which of the following must serve on the Food Service Committee?
  • a)
    A
  • b)
    D
  • c)
    E
  • d)
    F
Correct answer is option 'B'. Can you explain this answer?

Sagarika Sen answered
Explanation:

Given Information:
- There are 9 officials named A, B, C, D, E, F, G, H, and I.
- There are 3 committees: Games Committee, Food Service Committee, and Entertainment Committee.
- Each committee must have exactly 3 members.
- No person can serve on more than one committee.
- H must serve on the Entertainment Committee.
- C and D must serve on the same committee.
- A and B cannot serve on the same committee.
- E cannot serve on the same committee as I.
- F must serve on the committee as B or H or both B and H.
- If B and G serve on the Games Committee.

Solution:
- Since H must serve on the Entertainment Committee, we fill H in the Entertainment Committee.
- Since C and D must serve on the same committee, we fill C and D in the same committee.
- Since A and B cannot serve on the same committee, A cannot be in the same committee as C and D. Therefore, A must be in the Games Committee along with G.
- Since E cannot serve on the same committee as I, E must be in the Food Service Committee.
- Since F must serve on the committee as B or H or both B and H, F must be in the Entertainment Committee with H.
- This leaves only I to be in the Food Service Committee.
Therefore, the officials on each committee are:
- Games Committee: A, B, G
- Food Service Committee: E, I,
- Entertainment Committee: F, H,
Therefore, D must serve on the Food Service Committee. The correct answer is option B (D).

A man said to a lady, "Your mother's husband's sister is my aunt". How is that lady related to that man?
  • a)
    Daughter
  • b)
    Grand-daughter
  • c)
    Mother
  • d)
    Sister
Correct answer is option 'D'. Can you explain this answer?

Raghav Bansal answered
Given that:
A man said to a lady, 'Your mother's husband's sister is my aunt".
The lady’s mother’s husband which means he is the father of that lady. Lady’s father’s sister will be an aunt to that lady. And his father's sister is aunt to the man also. This means, lady's father is father of the man also. So, the lady and the man are siblings having same parents.
Thus, the lady is sister of the man.
In the family tree diagram given below, circles show males and squares show females.

Hence, option (D) will be the correct answer.

Find the next term of the series.
109, 74, 46, 25, 11, ?
  • a)
    11
  • b)
    4
  • c)
    3
  • d)
    36
Correct answer is option 'B'. Can you explain this answer?

Simran Gupta answered
The given series is 109, 74, 46, 25, 11. To find the next term in the series, we need to identify the pattern or rule that governs the progression of the numbers.

Pattern:
Upon observing the given series, we can see that the numbers are decreasing in value. Let's examine the differences between consecutive terms to understand the pattern more clearly.

The differences between consecutive terms are as follows:
- 109 - 74 = 35
- 74 - 46 = 28
- 46 - 25 = 21
- 25 - 11 = 14

Pattern in the differences:
The differences between consecutive terms (35, 28, 21, 14) form a decreasing arithmetic sequence. This suggests that the pattern in the original series is likely related to an arithmetic progression.

Pattern in the original series:
To find the pattern in the original series, let's examine the differences between consecutive terms of the differences.

The differences between the differences are as follows:
- 35 - 28 = 7
- 28 - 21 = 7
- 21 - 14 = 7

Pattern in the differences of the differences:
The differences between the differences (7, 7, 7) are constant. This indicates that the pattern in the original series is related to a quadratic sequence.

Quadratic Sequence:
A quadratic sequence is a sequence in which the difference between consecutive terms forms an arithmetic sequence. The general form of a quadratic sequence can be represented as:
an = an-1 - (n-1)d + c

where:
an = nth term of the sequence
an-1 = (n-1)th term of the sequence
n = position of the term
d = common difference between consecutive terms of the differences
c = constant difference between the differences

Finding the next term:
Using the quadratic sequence formula, we can find the next term in the series.

Given the last term of the series is 11, we can substitute the values into the formula:

an = an-1 - (n-1)d + c
11 = 25 - (5-1) * 7 + 7

Simplifying the equation:

11 = 25 - 4 * 7 + 7
11 = 25 - 28 + 7
11 = 4

Therefore, the next term in the series is 4.

Hence, the correct answer is option B) 4.

Directions: Read the given information carefully and answer the questions given below:
Raman walks 100 m from his house towards North. From there he goes 100 m towards west. Here is the house of shyam. From there they both goes to the market which is in the South-West direction from the Shyam's house.
If the market is in the west of Raman's house, then how far is the market from Raman's house?
  • a)
    100 m
  • b)
    150 m
  • c)
    400 m
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Mira Basak answered
Understanding the Directions
To solve this problem, we need to understand the movements of Raman and Shyam clearly.

Step-by-Step Movements
- **Raman's Walk**
- Raman starts at his house and walks **100 m North**.
- From there, he walks **100 m West**. Now, he is at Shyam's house.
- **Location of Shyam's House**
- At this point, we can visualize Raman being **100 m North** and **100 m West** from his original position.

Direction to the Market
- **Market's Position**
- The market is located in the **South-West** direction from Shyam's house.
- Since Shyam's house is **100 m North** and **100 m West** of Raman's house, the South-West direction from Shyam's house will mean moving downwards and to the left on a standard map.

Relative Positioning
- **Market's Location Relative to Raman's House**
- If the market is in the South-West of Shyam's house, it would also be **South-West** of Raman's house, but since it is mentioned that the market is **West** of Raman's house, we need to calculate accordingly.

Calculating the Distance
- **Distance to the Market**
- The market's exact location is not specified, but we know it is in the West direction from Raman's house.
- The distance from Raman's house to the market can be visualized using the Pythagorean theorem or simply inferred from the directions.
- Since the options provided include 100 m, 150 m, 400 m, and "None of these," we deduce that the market's distance from Raman's house must be greater than 100 m, leading us to conclude that it is likely to be **400 m** (the only option left that could satisfy the conditions).

Conclusion
Therefore, the correct answer is **None of these**, as the market's distance is indeed not explicitly provided in the options.

An elevator has a capacity of 12 adults or 20 children. How many adults can board the elevator with 15 children?
  • a)
    4
  • b)
    5
  • c)
    3
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?

To solve this problem, we need to determine how many adults can board the elevator when there are already 15 children inside.

1. Determine the capacity of the elevator:
Given that the elevator can accommodate either 12 adults or 20 children, we need to find the maximum number of people that can fit inside the elevator.

2. Determine the number of children that can fit in the elevator:
Since there are already 15 children inside the elevator, we need to subtract this number from the total capacity of children the elevator can accommodate.
Capacity for children = Total capacity for children - Number of children already inside
= 20 - 15
= 5

3. Determine the number of adults that can fit in the elevator:
Since we know that the elevator can accommodate a maximum of 12 adults, we need to check if there is enough space for additional adults after accounting for the children already inside.
Number of adults = Capacity for adults - Number of adults already inside
= 12 - 0 (assuming no adults are already inside)
= 12

4. Compare the number of adults and children that can fit in the elevator:
We have determined that there is enough space for 5 children and 12 adults in the elevator. Since the question asks for the number of adults that can board the elevator with 15 children already inside, we need to select the smaller value between the available spaces for adults and children.
Number of adults that can board = Minimum (Number of adults, Number of children)
= Minimum (12, 5)
= 5

Therefore, the correct answer is option 'C', which states that 3 adults can board the elevator with 15 children already inside.

In the following question, select the related number from the given alternatives:
145 : 10 :: 243 : ?
  • a)
    11
  • b)
    9
  • c)
    13
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?

Neha Sharma answered
The relation between the numbers of the first part is,
1 + 4 + 5 = 10
The sum of individual terms of the number is equal to the second number of the same part.
Similarly,
The missing number is, 2 + 4 + 3 = 9
Thus, 9 is the correct answer.

In the following question, some of the letters of the series are missing. Find out the correct alternative to fill the blank spaces.
__UZ__UCBU__CU__BU__C__CB__Z
  • a)
    BCZBCZU
  • b)
    BCZCZUU
  • c)
    BZUUCCZ
  • d)
    ZCCBBUU
Correct answer is option 'B'. Can you explain this answer?

Aniket Joshi answered
Explanation:
- Pattern Analysis:
- Looking at the given series, we can see that there is a pattern in the letters being repeated in a specific order.
- The series seems to be alternating between the letters 'B', 'C', and 'U', with 'Z' appearing at certain positions.
- Filling in the Blanks:
- The first letter in the series is 'U'.
- The second letter is 'Z'.
- The third and fourth letters are 'U' and 'C'.
- The fifth and sixth letters are 'B' and 'U'.
- Following this pattern, the next letters should be 'C' and 'Z'.
- Correct Answer:
- Based on the pattern analysis and filling in the blanks, the correct alternative to fill the blank spaces is option 'B' - BCZCZUU.

What will come in place of the question mark (?) in the following number series?
2      21       138        705      ?
  • a)
    2386
  • b)
    3540
  • c)
    3236
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Series: 2, 21, 138, 705, ?

To find the missing term, we need to observe the pattern in the given series.

- The first term is 2.
- The second term is obtained by multiplying the first term by 10 and adding 1. Therefore, the second term is 2 x 10 + 1 = 21.
- The third term is obtained by multiplying the second term by 6 and adding 12. Therefore, the third term is 21 x 6 + 12 = 138.
- The fourth term is obtained by multiplying the third term by 5 and adding 45. Therefore, the fourth term is 138 x 5 + 45 = 705.

So, we can see a pattern in which each term is obtained by multiplying the previous term by a certain number and adding a certain value.

Using the same pattern, we can find the missing term in the series:

- The missing term is obtained by multiplying the fourth term by 4 and adding 105. Therefore, the missing term is 705 x 4 + 105 = 2835.

Therefore, the missing term in the series is 2835.

Hence, the correct answer is option D) None of these.

In the following question, there is a series of alphabetical letters which change in some specific order. Below the series are given four alternative answers. The candidates have to find out which one of these answers would be correct in blank space of series if the alphabetical letters go on changing in the same order.
AC, FH, KM, PR, _____.
  • a)
    SU
  • b)
    TV
  • c)
    UW
  • d)
    VW
Correct answer is option 'C'. Can you explain this answer?

Siddharth Roy answered


Pattern Analysis:
- The given series is: AC, FH, KM, PR
- Upon analyzing, we can see that each letter is 5 positions ahead of the previous one in the alphabet.

Identifying the next letter:
- The next letter in the series should be 5 positions ahead of the last letter 'R', which is 'W'.

Answer:
- Therefore, the correct answer for the blank space in the series is option C) UW.

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