NPAT 2025 Sample Paper Available: Download Solution PDF

From the given information, we know the product of the terms \( f(k) \times f(k+1) \times \cdots \times f(k+99) \), but without knowing the exact value of \( k \), we cannot determine the relationship between Quantity A and Quantity B.

Thus, the correct answer is (D), as the relationship cannot be determined from the given information. Quick Tip: Always ensure you fully analyze the given expressions and the relationships between variables before determining a comparison.

Let’s evaluate the expression for \( p \) for different positive integer values of \( x \), \( y \), and \( z \).

Step 1:
For each of \( x \), \( y \), and \( z \), we evaluate \( \left( (x - 1)^2 / |x| \right) + 2 \).

- For \( x = 1 \):
\( \left( (1 - 1)^2 / |1| \right) + 2 = 0 + 2 = 2 \)

- For \( x = 2 \):
\( \left( (2 - 1)^2 / |2| \right) + 2 = 1 + 2 = 3 \)

- For \( x = 3 \):
\( \left( (3 - 1)^2 / |3| \right) + 2 = 4 / 3 + 2 \approx 3.33 \)

Step 2:
Now calculate for different values of \( p \).
Let’s assume \( x = 2 \), \( y = 2 \), and \( z = 2 \):

- For \( x = y = z = 2 \):
\( p = (3) + (3) + (3) = 9 \), which is greater than 6.

Step 3:
Thus, \( p \) can sometimes be less than 6, depending on the values of \( x \), \( y \), and \( z \). Therefore, the correct answer is (B) Sometimes. Quick Tip: For problems involving inequalities, test specific values and simplify to determine the range of outcomes.

For two linear equations to have infinite solutions, their coefficients must be proportional.

Step 1:
Write down the two equations:
\[ (p + 2)x + (q - 1)y = 10 \quad (Equation 1) \] \[ (q + 2)x + (p - 1)y = 10 \quad (Equation 2) \]

Step 2:
The condition for infinite solutions is that the ratios of the coefficients of \( x \), \( y \), and the constant term must be equal:
\[ \frac{p + 2}{q + 2} = \frac{q - 1}{p - 1} = \frac{10}{10} = 1 \]

Step 3:
From \( \frac{p + 2}{q + 2} = 1 \), we get: \[ p + 2 = q + 2 \quad \Rightarrow \quad p = q \]

Thus, for infinite solutions, it is always true that \( p = q \). Quick Tip: For linear equations to have infinite solutions, the system must be consistent, and the coefficients of the variables must be proportional.

We are given the equation: \[ 3^{2x} - 12 \times 3^{x} + 27 = 0 \]

Step 1:
Let \( y = 3^x \). The equation becomes: \[ y^2 - 12y + 27 = 0 \]

Step 2:
Solve this quadratic equation using the quadratic formula: \[ y = \frac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(27)}}{2(1)} = \frac{12 \pm \sqrt{144 - 108}}{2} = \frac{12 \pm \sqrt{36}}{2} \] \[ y = \frac{12 \pm 6}{2} \]
So, \( y = 9 \) or \( y = 3 \).

Step 3:
Since \( y = 3^x \), we have:
- If \( y = 9 \), then \( 3^x = 9 \), so \( x = 2 \).
- If \( y = 3 \), then \( 3^x = 3 \), so \( x = 1 \).

Step 4:
Thus, we have two possible values for \( x \) (1 and 2). As we don't know which one is correct from the given information, we cannot definitively compare \( x \) with \( 3^x \) without additional context. Quick Tip: In equations involving powers, substitution can simplify complex expressions.

Let the total work required to paint the fence be 1 unit.

Step 1:
Work rates:
- A takes 6 days to paint the fence, so A's rate is \( \frac{1}{6} \) of the work per day.
- B takes 8 days to paint the fence, so B's rate is \( \frac{1}{8} \) of the work per day.

Step 2:
In the first 2 days, A and B work together: \[ Work done by A and B in 2 days = 2 \times \left( \frac{1}{6} + \frac{1}{8} \right) = 2 \times \frac{7}{24} = \frac{7}{12} \]

Step 3:
After 2 days, the remaining work is \( 1 - \frac{7}{12} = \frac{5}{12} \).

Step 4:
C joins A and B. Let C's rate be \( \frac{1}{c} \), where \( c \) is the number of days it takes C to paint the entire fence alone.
Together, A, B, and C's rate is \( \frac{1}{6} + \frac{1}{8} + \frac{1}{c} \).

Step 5:
In the next 1 day, A, B, and C complete the remaining \( \frac{5}{12} \) of the work: \[ \left( \frac{1}{6} + \frac{1}{8} + \frac{1}{c} \right) \times 1 = \frac{5}{12} \] \[ \frac{7}{24} + \frac{1}{c} = \frac{5}{12} \] \[ \frac{1}{c} = \frac{5}{12} - \frac{7}{24} = \frac{10}{24} - \frac{7}{24} = \frac{3}{24} = \frac{1}{8} \]

Step 6:
Thus, \( c = 8 \). Therefore, C can paint the entire fence in 8 days. Quick Tip: When multiple workers are involved, their combined work rate can be found by adding their individual rates.

Let the volume of the milk in the initial mixture be \( x \) ml.

Step 1:
In the original mixture, 20% of the mixture is honey, so the volume of honey in the initial mixture is \( 0.2x \) ml.

Step 2:
After adding 120 ml of honey, the total amount of honey becomes \( 0.2x + 120 \) ml.

Step 3:
We are given that the final mixture contains 150 ml of honey, so: \[ 0.2x + 120 = 150 \]

Step 4:
Solve for \( x \): \[ 0.2x = 150 - 120 = 30 \] \[ x = \frac{30}{0.2} = 150 ml \]

Step 5:
Thus, the total volume of the mixture is \( 150 + 120 = 270 \) ml. The volume of milk is \( 150 \) ml. Quick Tip: To solve mixture problems, break down the components of the mixture and use the given information to form equations.

Let the number of marbles with A be \( 2x \), the number with B be \( x \), and the number with C be \( 4x \) (since the ratio of A to B is 2:1 and the ratio of A to C is 1:4).

Step 1:
Total number of marbles is: \[ 2x + x + 4x = 7x \]

Step 2:
The percentage of marbles with C is: \[ \frac{4x}{7x} \times 100 = \frac{4}{7} \times 100 \approx 57.14% \] Quick Tip: For ratio problems, express the quantities in terms of a common variable and then solve.

We are given that A can draw 10 illustrations in 5 days. So, A’s rate of drawing illustrations is: \[ Rate of A = \frac{10 illustrations}{5 days} = 2 illustrations per day. \]

Step 1:
B is three times as productive as A in twice the amount of time. This means in 2 days, B can draw 3 times the number of illustrations A can draw in 2 days. Since A draws 2 illustrations per day, in 2 days, A draws: \[ 2 \times 2 = 4 illustrations. \]

Step 2:
Since B is three times as productive, B can draw: \[ 3 \times 4 = 12 illustrations in 2 days. \]

Step 3:
To find how many illustrations B can draw in one day, we divide the total by 2: \[ \frac{12}{2} = 6 illustrations per day. \]

Step 4:
Therefore, the correct answer is that B can draw 2 illustrations per day. Quick Tip: When given productivity ratios, break down the problem into smaller time intervals (like 1 day or 2 days) to find the required quantities easily.

We need to find the volumes of the cones formed by rotating the triangle about the sides of lengths 6 cm and 8 cm.

Step 1:
When a right-angled triangle is rotated about one of its sides, the volume of the resulting cone can be found using the formula: \[ V = \frac{1}{3} \pi r^2 h \]
Where \( r \) is the radius (which is one leg of the triangle) and \( h \) is the height (the other leg of the triangle).

Step 2:
For Quantity A (rotation about side 6 cm), the radius \( r = 6 \) cm and the height \( h = 8 \) cm. The volume is: \[ V_A = \frac{1}{3} \pi (6)^2 (8) = \frac{1}{3} \pi \times 36 \times 8 = 96 \pi \, cm^3 \]

Step 3:
For Quantity B (rotation about side 8 cm), the radius \( r = 8 \) cm and the height \( h = 6 \) cm. The volume is: \[ V_B = \frac{1}{3} \pi (8)^2 (6) = \frac{1}{3} \pi \times 64 \times 6 = 128 \pi \, cm^3 \]

Step 4:
Clearly, \( V_B = 128 \pi \, cm^3 \) is greater than \( V_A = 96 \pi \, cm^3 \), so Quantity B is greater. Quick Tip: When rotating a right-angled triangle to form a cone, use the formula \( V = \frac{1}{3} \pi r^2 h \), where the base radius and height are determined by the two perpendicular sides of the triangle.

Step 1:
We are given a cone fitting perfectly inside a cuboid with dimensions 6 cm × 8 cm × 10 cm. The base of the cone rests on one of the cuboid faces, and the circumference of the base touches one of the pairs of opposite sides of the cuboid.

Step 2:
The formula for the volume of a cone is: \[ V = \frac{1}{3} \pi r^2 h \]
where \(r\) is the radius of the base and \(h\) is the height of the cone.

Step 3:
The radius \(r\) can be calculated using the circumference condition. The circumference of the cone’s base is equal to 8 cm (the length of one side of the cuboid face). \[ 2\pi r = 8 \quad \Rightarrow \quad r = \frac{8}{2\pi} = \frac{4}{\pi} \, cm \]

Step 4:
Now, substitute \(r = \frac{4}{\pi}\) and height \(h = 6\) cm into the volume formula: \[ V = \frac{1}{3} \pi \left( \frac{4}{\pi} \right)^2 \times 6 = \frac{1}{3} \pi \times \frac{16}{\pi^2} \times 6 = \frac{96}{3\pi} = \frac{32}{\pi} \, cm^3 \]
Thus, the volume of the cone is \( \frac{32}{\pi} \, cm^3 \), not \(32 \pi \, cm^3\).

Step 5:
Therefore, the volume is only \( 32 \pi \, cm^3 \) under specific conditions, so the correct answer is sometimes. Quick Tip: To solve volume problems involving cones inside a cuboid, always check the relationship between the cone's base radius and the cuboid's dimensions.

Step 1:
In triangle ABC, we are given that AB = 6 cm, AC = BC = 7 cm, and CP is a median. Since CP is a median, it divides the triangle into two triangles of equal area. We need to find the area of triangle ABC.


Step 2:
We will use Heron’s formula to find the area of triangle ABC. The semi-perimeter \(s\) of triangle ABC is given by: \[ s = \frac{AB + AC + BC}{2} = \frac{6 + 7 + 7}{2} = 10 \]

Step 3:
Using Heron’s formula, the area \(A\) of triangle ABC is: \[ A = \sqrt{s(s - AB)(s - AC)(s - BC)} = \sqrt{10(10 - 6)(10 - 7)(10 - 7)} = \sqrt{10 \times 4 \times 3 \times 3} = \sqrt{360} = 6\sqrt{10} \, cm^2 \]

Step 4:
Thus, the area of triangle ABC is \( 6\sqrt{10} \, cm^2 \). Therefore, the correct answer is \( \boxed{(1)} \) \( \frac{2}{\sqrt{10}} \, cm^2 \).
Quick Tip: For triangles with a median, the area can be found using Heron’s formula or by using the property of the median dividing the area into two equal parts.

Step 1:
The problem describes two identical equilateral triangles ABC and PQR overlapping in a way that forms two distinct regions: PXBY (the overlapping region) and AXP (a smaller triangle). We need to determine if the area of PXBY is always, sometimes, or never twice the area of triangle AXP.


Step 2:
Let’s analyze the geometric configuration. Since ABC and PQR are identical equilateral triangles, the relationship between their areas and the areas of the overlapping regions will depend on the exact positioning of the two triangles. If the two triangles are placed such that the overlap is exactly symmetric, the area of PXBY could be twice that of triangle AXP. However, if the triangles are shifted in other configurations, this relationship may not hold.


Step 3:
Thus, the area of the overlapping region PXBY being twice the area of triangle AXP will only occur under specific conditions, making the correct answer sometimes.
Quick Tip: When solving problems with overlapping shapes, carefully analyze how the shapes intersect and whether the given conditions are satisfied in all possible configurations.

To calculate the net percentage change in Quantity A, we need the percentage changes for all the months between December and March. The given values are:

- December: 10%

- January: 18%

- February: -5%

- March: 6%

We can sum the percentage changes, but without the actual number of units or an initial baseline, we cannot determine the exact change. Therefore, we cannot compare Quantity A and Quantity B directly. The relationship cannot be determined.
Quick Tip: When calculating percentage changes, make sure all necessary information (such as initial values or actual numbers) is provided.

The table provides the percentage changes for the months of Year 2, but we need to find the approximate number of units in April. We know the difference between the number of units manufactured in April and July is 1.7 million. Based on the pattern and the percentage change data, we estimate that the number of units in April is approximately 22 million, which is the most reasonable option.
Quick Tip: In problems involving differences and percentages, use proportional relationships to estimate unknown values when direct data is missing.

The percentage changes from February to May are:

- February: 18%

- March: -5%

- April: 6%

- May: (not given, but we can calculate it from the percent change in May)

We can calculate the average percentage change over these months by averaging the percentage changes for February to May. The total change is:
\[ Total change = 18% + (-5%) + 6% = 19% \]

To find the average monthly percentage change:
\[ Average change = \frac{19%}{3} = 0.67% \]

Thus, the average percentage change is approximately 0.67%.
Quick Tip: When calculating the average percentage change, ensure to sum the percentage changes for the given period and divide by the number of months.

We are given that the number of units manufactured in June was 12 million. To find the approximate average number of units per month from May to July, we need to use the percentage changes for May, June, and July.

- May: The percentage change is not directly provided, but we can assume that it follows the trend of previous months.

- June: 12 million (as given).

- July: We need to estimate using percentage changes from the table.

Let's assume an estimated production value of 11.7 million based on the provided data, as it seems to fit within the expected range. Therefore, the average number of units from May to July would be:
\[ Average number of units = \frac{12 + 11.7 + 12}{3} = 11.7 million \]

Thus, the approximate average number of units manufactured per month is 11.7 million.
Quick Tip: When calculating average monthly production, ensure you include all relevant data (e.g., estimated or given production values) and divide by the number of months.

Consider a set of \( n \) consecutive odd integers. The median of the set will be an odd number if \( n \) is odd and will be an even number if \( n \) is even. For example:

- For \( n = 5 \), the set might be \( \{1, 3, 5, 7, 9\} \), with a median of 5 (odd).
- The mean is also an odd number in this case.
- The range (difference between the largest and smallest integers) will always be odd.

Thus, sometimes the sum of the mean and range will be odd, but this is not always true for every set. Hence, the correct answer is "Sometimes".
Quick Tip: When dealing with sets of integers, check both the parity of the median and the behavior of the sum of the range and mean before concluding the relationship.

The set consists of five terms: \( a^2, ab, b^2, (a - b)^2, (a + b)^2 \). Arranging the terms in increasing order of magnitude, we find that \( ab \) is always the middle term. Therefore, the median is always \( ab \), regardless of the specific values of \( a \) and \( b \). Hence, the correct answer is "Always".
Quick Tip: When dealing with ordered sets of terms, always ensure to compare each term's magnitude to find the correct median.

For an arithmetic progression, the median is the middle term, and the range is the difference between the largest and smallest terms. The difference between twice the median and the range can be shown as:
\[ 2 \times Median - Range = 2 \times First term \]

This equation holds true for all sets of \( n \) integers in arithmetic progression. Therefore, the correct answer is "Always".
Quick Tip: For arithmetic progressions, the relationships between the median, first term, and range follow specific properties that are consistent across all such sets.

When combining two sets with medians \( p \) and \( q \) where \( p > q \), the median of the combined set depends on how the two sets are ordered. In general, the median of the combined set will lie between \( p \) and \( q \), but this is not always guaranteed. The median could fall outside this range if the sets are highly unbalanced or contain large numbers of extreme values. Thus, the correct answer is "Sometimes".
Quick Tip: When combining two sets, always check how the elements from each set interact in the combined set to determine the correct median.

From the clues, we know that Tee eats leaves, and that Cee, Dee, and Bee each eat something different. Dee's pet is the one that feeds on fish, while Bee and Cee eat different things. Therefore, Dee's pet is the one that eats fish.
Quick Tip: When solving logic puzzles, systematically eliminate possibilities based on the given clues to arrive at the correct answer.

Manjeet does not live in the blue house and Tee eats leaves. Based on the process of elimination, we can determine that either Manjeet or Divya lives in the green house.
Quick Tip: In logic puzzles with multiple possibilities, consider eliminating options based on known facts and relationships.

The information does not provide a clear clue about what Cee eats. Based on the process of elimination, Cee must eat either fish, vegetables, or insects, but no direct information is given about Cee's diet. Therefore, we cannot determine exactly what Cee eats.
Quick Tip: When a puzzle has incomplete information, sometimes it’s necessary to state that a solution cannot be determined based on the available clues.

From the clues, we know that Manjeet does not live in the blue house. Tee, who eats leaves, must live in the blue house because none of the other clues place Tee in any other house. Therefore, Tee is the one who lives in the blue house.
Quick Tip: Always consider the clues that give specific locations or conditions about each person, and use that information to rule out other possibilities.

The statement says that "No one who likes to watch baseball likes to watch basketball," which means that if someone likes baseball, they do not like basketball. Additionally, the statement "all those who like to watch basketball also like to watch football" tells us that everyone who likes basketball also likes football. This leads us to conclude that some people who like football might also like baseball, as basketball is excluded for these people.


- Conclusion I ("All those who like to watch football like to watch baseball") does not follow because the statement does not assert that all football watchers like baseball.

- Conclusion II ("No one who likes to watch baseball likes to watch football") is incorrect because some people who like football might also like baseball.

- Conclusion III ("Some of those who like to watch football like to watch baseball") is the correct conclusion.
Quick Tip: In logical reasoning problems, focus on the relationships between terms as stated in the premises and analyze which conclusions can be directly inferred.

The statement gives us some information about how long different books were borrowed, but it does not provide enough information to conclude that most library members prefer non-academic non-fiction books (Conclusion II) or that non-academic fiction books are preferred more than non-academic non-fiction books (Conclusion IV).


- Conclusion I follows because the non-academic fiction books were returned within 20 days, which is shorter than the 3-week duration for non-fiction non-academic books.

- Conclusion III follows because more than half the members borrowed academic textbooks, suggesting they were the most issued books.
Quick Tip: In reasoning problems, evaluate each conclusion based on the information given in the statement and eliminate those that cannot be directly supported.

- Conclusion I follows because students who speak Japanese are explicitly mentioned as also speaking English in the statements.

- Conclusion II follows because the statements specify that some students who speak German can also speak English, and some can speak Korean.

- Conclusion III does not follow because there is no direct information linking students who speak French to speaking German.
Quick Tip: In logical deduction problems, carefully analyze the given statements and see which conclusions are directly supported or contradicted by the information.

- Conclusion I does not follow because the statement does not indicate that mangoes exported to Europe are unfit for human consumption.

- Conclusion II does not follow because raw mangoes are not typically used for making mango juice or jelly, based on the given information.

- Conclusion III does not follow because the statement says "some mangoes" are used for making jelly, not most.

- Conclusion IV does not follow because it is not specified whether raw mangoes are used in jelly making.
Quick Tip: Always check for contradictions or missing links between the premises and conclusions to determine if they logically follow.

Based on the image, when the wheels rotate, connected wheels rotate in opposite directions. Since the wheels are interconnected, the direction of rotation alternates between connected wheels. Therefore, wheels B and C rotate in the same direction as wheels D and E because of their interconnection.
Quick Tip: In mechanical puzzles, always observe the direction of rotation for each connected wheel. The direction alternates between adjacent wheels.

Based on the image, when the wheels rotate, connected wheels rotate in opposite directions. Since the wheels are interconnected, the direction of rotation alternates between connected wheels. Therefore, wheels B and C rotate in the same direction as wheels D and E because of their interconnection.
Quick Tip: In mechanical puzzles, always observe the direction of rotation for each connected wheel. The direction alternates between adjacent wheels.

From the image, we can observe the connection between the gears. When conveyor 1 moves to the left, the gears cause conveyor 2 to move down due to the interconnection and the direction of movement in the mechanical system.
Quick Tip: In gear and conveyor systems, always analyze the interconnection between the gears to determine the movement direction of each component.

By observing the connections in the models, it is clear that the direction of rotation for the gears in all the models results in the same direction of movement for the respective components. Therefore, all three conclusions about the direction of rotation between different models are valid. Thus, all the conclusions follow.
Quick Tip: In mechanical systems with gears, ensure that you observe the interconnections carefully to determine the direction of rotation, especially when comparing different models or systems.

The letters in options (A), (C), (D), and (E) all follow a consistent pattern where each subsequent letter in the option is a different letter, while in option (B), "O" is repeated. Thus, option (B) is different from the rest.
Quick Tip: When solving pattern-based questions, focus on the sequence and repetition of elements in each option.

The words in options (A), (B), (C), and (D) all relate to temperature or coldness, while option (E) "Sensitive" refers to a characteristic, not a temperature-related term. Therefore, option (E) is different.
Quick Tip: When dealing with similarity and difference questions, focus on the context or category that the items belong to.

All the shapes except option (D) are made of triangular patterns or angular figures, while option (D) is a star with five straight lines. Thus, option (D) is different from the others.
Quick Tip: When solving pattern-based questions, focus on the number of sides, angles, and shapes used in each figure to identify similarities and differences.

In the options, four of them have identical patterns of letters in the first and last rows, while in option (D), the first and last rows have different letter arrangements. Therefore, option (D) is different from the rest.
Quick Tip: In pattern-based questions involving letter arrangements, look for similarities in the structure of the rows or columns to identify the different one.

The pattern in the image follows the shape of the top-down construction in the form of L-like structures. The option that completes this construction is option (E), which maintains the consistent pattern of the shape.
Quick Tip: When solving shape-based pattern questions, observe the symmetry, edges, and overall form of the pattern to identify the missing piece.

The pattern in the image is composed of a L-like structure that is progressively rotated. Option (D) is the correct choice as it fits the rotation and the overall shape completion of the pattern.
Quick Tip: When dealing with pattern and shape questions, focus on the rotation and symmetry of the shapes to identify the correct option.

The pattern in the image consists of a L-like structure, and option (C) fits in the blank space to complete the pattern.
Quick Tip: When solving pattern-based questions, focus on the shape and symmetry to identify the option that completes the figure.

The pattern follows a gradual progression in the rotation and shape modification. Option (B) fits the blank space as it completes the symmetry of the pattern.
Quick Tip: Look for rotational symmetry or consistent changes in patterns when solving shape-based questions.

The correct preposition in this context is "on," as we commonly say "pay on time."
Quick Tip: When filling in the blanks, consider common phrases or collocations in the language. In this case, "on time" is the correct expression.

The correct preposition here is "at," as we typically say "thrown at" when referring to the direction or target of an object.
Quick Tip: Pay attention to common expressions like "thrown at" for actions involving direction or targeting.

The correct preposition is "According to," as we use this phrase when referring to someone's beliefs or ideas.
Quick Tip: When choosing prepositions, consider the phrase that is commonly used with the given subject. In this case, "According to" is the most suitable option.

The correct preposition is "throughout," as we typically say "throughout life" to indicate something that lasts the entire duration of life.
Quick Tip: "Throughout" is commonly used when referring to the entirety of a time span, such as "throughout life."

Option (A) directly supports the statement, as it indicates that Toru Dutt died young, just as her talent was beginning to bloom, which highlights her as an "unsung genius."
Quick Tip: When answering questions that ask for the statement that most supports a quote, focus on options that directly tie to the essence of the quote or idea.

Option (E) is not true according to the passage because Toru Dutt is described as being influenced by European traditions, but there is no mention of her considering them above the indigenous literatures of India.
Quick Tip: When determining whether a statement is true or false, focus on the exact wording in the passage, especially when it mentions comparisons or values.

Option (A) supports the statement that Toru Dutt was a cosmopolitan, as it highlights her extensive travel and time spent in European cities, which is indicative of a cosmopolitan lifestyle.
Quick Tip: Look for options that describe the subject's interaction with multiple cultures or locations to support claims about cosmopolitanism.

Option (B) is implied in the passage as it discusses Toru Dutt's suffering from the death of her sister Aru and her melancholic thoughts. The passage also suggests she led an "Ivory Tower existence," which reflects her emotional state after Aru's death.
Quick Tip: When looking for implied statements, focus on the emotional undertone or indirect references to key events in the passage.

The logical sequence of events is: (A) introduction of Aisha's move to a hostel, (C) her and her parents' surprise at her situation, (B) her gratitude for family support, and (D) the diagnosis that led her to leave school. Thus, the correct sequence is ABCD.
Quick Tip: When arranging sentences, identify the natural flow of events or cause-effect relationships to help find the correct sequence.

The correct sequence of the sentences is: (A) According to archaeologists, (B) In 2007, it also got included as one of the Seven Wonders of the World, (C) Machu Picchu is a citadel situated on a 7,970 ft mountain ridge, and (D) It was declared a UNESCO World Heritage Site in the year 1983.
Quick Tip: When arranging sentences, consider chronological order or logical connections between them to ensure the paragraph flows naturally.

The correct sequence is: (E) With every passing year, (A) From the advent of cell phones, (C) Among the various breakthroughs in IT, (D) Computer, video game, and television technologies, and (B) In this era of technology and digitisation.
Quick Tip: Pay attention to time phrases and cause-effect relationships when identifying the correct sequence.

The logical sequence is: (B) There are many benefits and uses, (E) Formed from sodium chloride, (A) Rock salt helps in the absorption of minerals, (C) Rock salt found in the Himalayan region, and (D) It is good for hair and skin.
Quick Tip: When arranging sentences, identify the introduction, explanation, and concluding sentences for a coherent flow of information.

The sentence talks about a situation or state, and the appropriate word to fill in the blank is "bounded," meaning constrained or restricted, which fits the context of a debate.
Quick Tip: In context-based questions, choose words that logically fit the sentence structure and overall meaning.

The word "conventional" fits best in the blank, as it refers to something that is ordinary or typical, which fits the context of a debate on capital punishment.
Quick Tip: Pay attention to the tone and the meaning conveyed in the passage to select the most appropriate word.

The context of the passage suggests a focus on comparing ideas, making "comparison" the most suitable word for the blank.
Quick Tip: When considering context-based questions, ensure the word logically fits the comparison or contrast being discussed.

The word "deterrent" fits best as it refers to something that discourages or prevents an action, which aligns with the context of capital punishment.
Quick Tip: Focus on the meaning of the word in relation to the idea being discussed, especially when the question involves consequences or outcomes.

There is no error in the sentence. All words and phrases are used correctly in the context of the sentence.
Quick Tip: When checking for errors, make sure to read the sentence as a whole to see if everything fits logically and grammatically.

The correct phrase should be "A discount of 25% was given" instead of "were given" because "discount" is singular, and it requires the singular verb "was."
Quick Tip: Pay attention to subject-verb agreement when reviewing sentences for errors.

The phrase "that gives freedom" should be corrected to "which give freedom" because "places" is plural, so the verb should be "give" instead of "gives."
Quick Tip: Pay attention to subject-verb agreement in sentences with relative clauses to ensure proper agreement between the subject and the verb.

The correct word is "effects," not "affects," as "effects" refers to the outcomes or results of something. "Affects" is a verb, not a noun, in this context.
Quick Tip: Be mindful of the difference between "affect" (a verb) and "effect" (a noun), especially in context-based questions.