CMAT 2019 Question Paper with Answer Key PDF (Jan-29 )

Step 1: Factor the cubic expression.

To find a factor of the cubic expression, we check for possible values of \( x \). We can use trial and error or apply the factor theorem, which suggests that if \( x = -1 \) is a root of the equation, \( X+1 \) will be a factor. Substituting \( x = -1 \) into the equation, we get: \[ (-1)^3 - 19(-1) + 30 = -1 + 19 + 30 = 48 \quad (not zero) \]
So, this is not a factor.

Step 2: Use synthetic or long division to find the factor.
Quick Tip: Use synthetic or long division to test for factors when factoring cubic polynomials.

Step 1: Understanding divisibility by 4.

A number is divisible by 4 if its last two digits are divisible by 4. In this case, the last two digits of the five-digit number must be selected from the available digits (1, 2, 3, 4, 5, 6), ensuring divisibility by 4. After choosing the last two digits, the remaining three digits can be arranged in any order.

Step 2: Calculating the number of such numbers.

There are 12 possible pairs for the last two digits (which are divisible by 4). The remaining three digits can be arranged in \( 3! = 6 \) ways. Hence, the total number of such numbers is: \[ 12 \times 6 = 72 \] Quick Tip: For divisibility by 4, focus on the last two digits of the number.

Step 1: Rearranging the equation.

Rewrite the equation as: \[ x^2 - 6x - 27 = 0 \]

Step 2: Applying the quadratic formula.

The quadratic formula is: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]
For the equation \( x^2 - 6x - 27 = 0 \), we have \( a = 1 \), \( b = -6 \), and \( c = -27 \). Substituting these values into the quadratic formula: \[ x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4(1)(-27)}}{2(1)} \] \[ x = \frac{6 \pm \sqrt{36 + 108}}{2} \] \[ x = \frac{6 \pm \sqrt{144}}{2} \] \[ x = \frac{6 \pm 12}{2} \]
Thus, the roots are: \[ x = \frac{6 + 12}{2} = 9 \quad and \quad x = \frac{6 - 12}{2} = -3 \] Quick Tip: Use the quadratic formula to find the roots of a quadratic equation.

Step 1: Understanding weighted average.

The weighted average is calculated by multiplying each value by its respective weight, summing these products, and dividing by the sum of the weights. Here, the weights are the maximum marks in each subject.

Step 2: Applying the formula.

The weighted average marks of Chandesh is calculated as: \[ \frac{(70 \times 150) + (75 \times 120) + (65 \times 100) + (85 \times 100) + (40 \times 100) + (61 \times 100)}{150 + 120 + 100 + 100 + 100 + 100} \] \[ \frac{10500 + 9000 + 6500 + 8500 + 4000 + 6100}{670} \] \[ \frac{41000}{670} = 66.57 \] Quick Tip: For weighted average, multiply each value by its respective weight and divide by the total weight.

Step 1: Let A's share be \( x \).

Since B receives 20% more than A, B's share is \( 1.2x \), and since C receives 25% less than B, C's share is \( \frac{1.2x}{1.25} \).

Step 2: Equation for the total amount.

The total amount is Rs. 4898, so: \[ x + 1.2x + \frac{1.2x}{1.25} = 4898 \]
Solving this equation gives: \[ x = 1400 \]
Thus, B's share is: \[ 1.2 \times 1400 = 1860 \] Quick Tip: Use proportions to solve for individual shares when dealing with percentage-based distribution problems.

Step 1: Formula for Compound Interest (CI) and Simple Interest (SI).

The difference between the compound interest and simple interest after the 3rd year is given by the formula: \[ CI - SI = \frac{P \times r^2}{100^2} \]
Where \( P \) is the principal, and \( r \) is the rate of interest.

Step 2: Substituting the known values.

Given that \( CI - SI = 77.5 \), and \( r = 10% \), we substitute and solve for \( P \), which gives the sum as Rs. 3000. Quick Tip: Use the formula for the difference between CI and SI after 3 years to find the principal.

Step 1: Check divisibility rule.

To find the number to be added to 11158, we check the remainder when 11158 is divided by 77. The remainder is 3.

Step 2: Subtract remainder from 77.

To make the number divisible by 77, subtract the remainder from 77: \[ 77 - 3 = 7 \]

Step 3: Conclusion.

Thus, the number that should be added is 7. Quick Tip: To make a number divisible by another, subtract the remainder from the divisor.

Step 1: Calculate the profit from the share.

The profit from the share is the difference between the selling price and the buying price, plus the dividend earned during the period. \[ Profit = (125 - 60) + 30% \times 10 = 65 + 3 = 68 \]

Step 2: Calculate the return on investment.

The Return on Investment (ROI) is given by: \[ ROI = \frac{Profit}{Investment} \times 100 = \frac{68}{60} \times 100 = 113.33% \] Quick Tip: Include both capital gains and dividends when calculating the return on investment.

Step 1: Understanding the options.

We are looking for a number that lies between \( a \) and \( b \). The arithmetic mean \( \frac{a + b}{2} \) always lies between \( a \) and \( b \) if \( a < b \).

Step 2: Conclusion.

Thus, the correct answer is \( \frac{a + b}{2} \), which is always greater than \( a \) and less than \( b \). Quick Tip: The arithmetic mean of two numbers lies between the numbers.

Step 1: Calculate the new selling price after discounts.

The first discount of 10% on Rs. 5000 is: \[ 5000 - 10% = 4500 \]
The second discount of 20% on Rs. 4500 is: \[ 4500 - 20% = 3600 \]

Step 2: Further discount.

The further discount is 20% of the cost price, so let the cost price be \( C \), then the further discount is \( 0.2C \).
Since there is no profit or loss, the cost price \( C \) is: \[ C = 2500 \] Quick Tip: Successive discounts can be calculated using the formula for the cumulative effect of the discounts.

Step 1: Calculate the rate of bolt production.

Machine A produces 120 bolts every 40 seconds, so its rate is: \[ \frac{120}{40} = 3 \, bolts per second \]
Machine B produces 100 bolts every 20 seconds, so its rate is: \[ \frac{100}{20} = 5 \, bolts per second \]

Step 2: Calculate the combined rate.

The combined rate of the two machines is: \[ 3 + 5 = 8 \, bolts per second \]

Step 3: Calculate the time to produce 200 bolts.

The time taken to produce 200 bolts is: \[ \frac{200}{8} = 25 \, seconds \] Quick Tip: To find the combined rate of two machines working together, add their individual rates.

Step 1: Understand the given data.

Institute B enrolled 8000 candidates, and 17% of them passed the exam.

Step 2: Calculate the total number of candidates passed from B.
\[ Candidates passed from B = 8000 \times 17% = 1360 \]

Step 3: Calculate the percentage passed.

The percentage of candidates passed from B out of the total enrolled is: \[ \frac{1360}{8000} \times 100 = 50.55% \] Quick Tip: To find the percentage passed, divide the number of candidates passed by the total number of candidates and multiply by 100.

Step 1: Use the formula for permutations.

We know that the formula for permutations is: \[ nP_r = \frac{n!}{(n - r)!} \]
We substitute the given condition into this formula and solve for \( n \). Quick Tip: To solve for \( n \) in a permutation equation, equate the two sides and solve for \( n \).

Step 1: Calculate the combinations.

The number of ways to choose 4 men from 8 is \( \binom{8}{4} \), and the number of ways to choose 2 ladies from 6 is \( \binom{6}{2} \).

Step 2: Apply the formula for combinations.
\[ \binom{8}{4} \times \binom{6}{2} = 70 \times 15 = 1050 \] Quick Tip: Use the combination formula \( \binom{n}{r} = \frac{n!}{r!(n - r)!} \) to calculate the number of ways to select items.

Step 1: Apply the Pythagorean theorem.

Let the length of the closet be \( l \) and the width be \( w \). Using the Pythagorean theorem, we have: \[ l^2 + 4.5^2 = 7.5^2 \]
Solving for \( l \), we get \( l = 6 \).

Step 2: Calculate the area.

The area of the closet is \( l \times w = 6 \times 4.5 = 27 \) square meters. Quick Tip: Use the Pythagorean theorem to find the missing side length in a right-angled triangle.

Step 1: Let the number of students in each class before the increase be \( 2x, 3x, 5x \).

After increasing 20 students in each class, the new number of students is \( 2x + 20, 3x + 20, 5x + 20 \).
Given the new ratio is 4 : 5 : 7, we set up the following equations: \[ \frac{2x + 20}{4} = \frac{3x + 20}{5} = \frac{5x + 20}{7} \]
Solving these gives the value of \( x \), and the total number of students is: \[ 2x + 3x + 5x = 110 \] Quick Tip: For problems involving ratios, set up equations and solve step by step.

Step 1: Let the number of children in the first row be \( x \).

The number of children in subsequent rows decreases by 3, so the total number of children is: \[ x + (x - 3) + (x - 6) + \dots \]
The sum of an arithmetic series can be written as: \[ S = \frac{n}{2} \times \left( 2a + (n - 1) \times d \right) \]
where \( a \) is the first term, \( d \) is the common difference, and \( n \) is the number of rows. Solving for the number of rows gives: \[ 6 \, is not possible \] Quick Tip: Use the formula for the sum of an arithmetic series to solve problems involving decreasing quantities.

Step 1: Formula for the volume of a cylinder.

The volume of a cylinder is given by: \[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height. In this case, \( h = 28 \) cm and the volume \( V = 14872 \) cm\(^3\).

Step 2: Solving for \( r \).

Substituting the known values into the formula: \[ 14872 = \pi r^2 \times 28 \]
Solving for \( r \), we get: \[ r = 14 \, cm \] Quick Tip: When a paper is rolled into a cylinder, the height becomes the width of the paper, and the circumference gives the formula for the base.

Step 1: Calculate the relative speeds.

The first bus covers the distance from Bangalore to Hyderabad in 7 hours, and the second bus covers the distance from Hyderabad to Bangalore in 7 hours. Hence, the relative speed is constant.

Step 2: Calculate the time of meeting.

The two buses will meet after travelling for 5 hours, so the meeting time is at 10:40 am. Quick Tip: Use the concept of relative speed to find the time when two moving objects meet.

Step 1: Find the range of possible weights.

The possible weight range is from 65 kg to 68 kg, based on the opinions provided.

Step 2: Calculate the average weight.

The average of these weights is: \[ \frac{65 + 68}{2} = 66.5 \, kg \] Quick Tip: To find the average of a range of values, add the smallest and largest values and divide by 2.

Step 1: Calculate the area between the curves.

The area between the two curves is given by the integral of the difference of the two functions over the given interval.

Step 2: Apply the formula for the area.
\[ Area = \int_1^2 (f(x) - g(x)) \, dx \] Quick Tip: To find the area between two curves, subtract one function from the other and integrate over the given limits.

Step 1: Formula for compound interest.

The formula for compound interest is: \[ A = P \left( 1 + \frac{r}{n} \right)^{nt} \]
where \( P \) is the principal, \( r \) is the rate of interest, \( n \) is the number of times the interest is compounded per year, and \( t \) is the time in years.

Step 2: Apply the formula.

Substituting the values into the formula, we get: \[ A = 200000 \left( 1 + \frac{0.1}{2} \right)^{2 \times 3} = 200000 \left( 1.05 \right)^6 = 258342 \] Quick Tip: For semi-annual compounding, divide the annual rate by 2 and multiply the time by 2.

Step 1: Formula for the area of a trapezium.

The area of a trapezium is given by: \[ A = \frac{1}{2} \times (a + b) \times h \]
where \( a \) and \( b \) are the lengths of the parallel sides and \( h \) is the height.

Step 2: Substituting the known values.

Substituting the values of area, height, and one parallel side, solve for the unknown parallel side. Quick Tip: To find the unknown parallel side in a trapezium, rearrange the area formula and solve for the unknown side.

Use differentiation to calculate the points of maxima and minima. Then, check the intervals of increase and decrease. Quick Tip: Use the first derivative to analyze the increasing and decreasing intervals of a function.

Use the concept of work and rates of work. Calculate the individual rates of work for each programmer and then solve for the time taken by Programmer II alone to complete the task. Quick Tip: Use the rates of work and the total work to calculate the time taken by each individual to complete the task.

The odd one is China, as all the other countries are in South Asia while China is in East Asia. Quick Tip: When identifying an odd one out, consider geographic, cultural, or political differences.

The pattern is based on changing the third letter of each word. "PAT" to "PEN" to "PIN" shows the third letter changing in a sequence of vowels. Quick Tip: When solving word patterns, look for recurring letter positions or sequences.

Using both statements together, we can calculate the price of one kg of mangoes. Statement I gives us the price of mangoes and oranges, and statement II provides a relationship between oranges and mangoes. Quick Tip: When dealing with statements, combine them to extract the necessary information.

Substitute the given operations in place of the symbols: \[ 20 + 5 + 9 - 4 \times 3 \quad becomes \quad 20 \div 5 + 9 \times 4 - 3 \]
Then calculate step by step. The result is 37. Quick Tip: Read the symbols carefully and follow the order of operations to get the correct result.

The pattern involves multiplying the number on the left by a certain factor. By observing the relationship, we can find the result for 8. Quick Tip: Look for patterns in the numbers and apply the same transformation to the given number.

The pattern involves reversing the first two letters and then following a specific rule for rearranging the letters. Quick Tip: Look for patterns in the rearrangement of letters when solving letter-coding problems.

Since C is the sister of A, and B is the daughter of D, it follows that C is the granddaughter of D. Quick Tip: Use family relationships and their hierarchy to solve such questions.

The relationship between the first pair is that breeze is a mild version of cyclone, and drizzle is a mild version of downpour. Quick Tip: Use the analogy to find a mild version of the second phenomenon.

By observing the pattern in the given codes, we can deduce that "He" is represented by "fa." Quick Tip: Look for repeating patterns in the code to identify the correct substitution.

Stem, leaf, and flower are parts of a plant, while rain is a natural phenomenon unrelated to the plant. Quick Tip: Identify the category to which each item belongs when selecting the odd one out.

The logic used in the given codes needs to be applied to the word "SCULPTURE". The codes for the letters will give us the corresponding 5th digit. Quick Tip: Identify patterns in the letter-code relationships and apply them to decode similar words.

"My father's son" refers to Abhijit himself. Hence, "His mother" would be Abhijit's own mother, meaning the photo is of his brother. Quick Tip: For family relationship questions, carefully analyze the statements to deduce relationships.

Just as an artist creates paintings, an attorney deals with law. Hence, the correct answer is Law. Quick Tip: When solving analogies, find the common relationship between the given words and apply it to the other pair.

The series follows the pattern of increasing the number after K. Hence, the next in the sequence is IJK3. Quick Tip: Look for repeating patterns in the sequence and fill in the missing term accordingly.

The correct combination that logically follows is BEF based on the relationships established in the statements. Quick Tip: Look for direct logical links between the statements to form valid combinations.

The statement suggests that external appearances are not always truthful, and thus both (i) and (iii) logically follow. Quick Tip: Use critical thinking to evaluate conclusions based on the given statement and pick the ones that align with the context.

Argument I is strong because privatization is considered a solution for reducing unemployment. Argument II is weak as it does not address the potential benefits of privatization. Quick Tip: Assess arguments based on their relevance and impact when deciding which is strong or weak.

The pattern of the matrix involves a certain arithmetic relationship between the numbers. Solving the matrix leads to the missing number being 22. Quick Tip: Look for arithmetic relationships (addition, multiplication) to solve matrix puzzles.

Based on the given pairs, we deduce the correct relationship between the cities. Quick Tip: Carefully follow the given pairs and apply logical deductions to find the correct option.

The increase in petrol and diesel prices is the result of the reduction in the production of crude oil, making it a cause-effect relationship. Quick Tip: Analyze cause and effect statements carefully to identify the correct relationship.

Just as ink is essential for a pen, blood is carried by veins. Hence, the correct answer is "Vein." Quick Tip: In analogies, look for relationships between the words in each pair to find the most fitting analogy.

Based on the seating arrangement, G - I will be sitting third from the left end. Quick Tip: Use seating arrangements and spatial positioning to logically deduce the correct order.

By calculating their ages using the given relationships, Chandrika turns out to be the second oldest. Quick Tip: In age-related problems, use algebra to form equations based on the relationships given.

Using the seating arrangement and positional clues, Priya sits opposite to Babu. Quick Tip: Use spatial and directional clues to solve seating arrangement problems.

Argument I is strong because it explains the benefits of studying early, while Argument II is weak as it contradicts the idea of early morning productivity. Quick Tip: Evaluate the relevance of arguments to determine their strength and applicability.

The passage narrates the events related to Josef K.’s arrest, which is a characteristic of a narrative passage. Quick Tip: A narrative passage primarily tells a story with characters and events unfolding.

The phrase "That had never happened before" refers to the event where the cook did not bring Josef K. his breakfast as was customary. Quick Tip: Focus on the context of the sentence to determine what ‘that’ refers to in the passage.

Josef K was arrested despite having done nothing wrong, which is explicitly mentioned in the passage. Quick Tip: When identifying the reason for an action, refer directly to the passage for the cause stated.

The passage indicates that the closure of primary schools in Delhi was due to the air quality index reaching extremely hazardous levels. Quick Tip: Look for explicit mentions in the passage that directly explain the cause of a particular situation.

The word "exacerbate" means to make a situation worse or more severe, so it is synonymous with "worsen." Quick Tip: In vocabulary questions, context and word usage are key in determining the correct meaning.

The passage mentions that despite measures like banning Deepavali crackers, other factors like construction dust and industrial emissions played a major role in the pollution. Quick Tip: When solutions fail, it is important to recognize the presence of other contributing factors.

A workhorse is defined as a dependable person or machine that performs a lot of work reliably over a long period. Quick Tip: In idiomatic terms, ‘workhorse’ refers to something or someone used for consistent and reliable work.

ISRO viewed the launch of 104 satellites as setting a world record, as it surpassed previous records for most satellites launched in a single mission. Quick Tip: World records often signify a breakthrough in technological achievements or scale, such as ISRO’s satellite launch.

This launch helps ISRO establish its position as a leader in the growing commercial space launch market, offering a cost-effective solution. Quick Tip: Breaking records can open new business avenues, particularly in competitive industries like space exploration.

The passage points to the need for Public-Private Partnerships (PPP) in R and D for agriculture to achieve better crop production outcomes. Quick Tip: Public-Private Partnerships (PPP) in agriculture are seen as an important mechanism for driving technological advancements and improving productivity.

The passage indicates that the benefit-cost ratio for Basmati rice is high in comparison to cotton, making it a key factor in agricultural R and D success. Quick Tip: Benefit-cost ratio is a measure used to evaluate the return on investment in research, and it can vary across different sectors like agriculture.

The passage mentions that there is a great potential in public sector laboratories to contribute to the agricultural sector, particularly for the benefit of farmers. Quick Tip: Public sector laboratories have often been underutilized despite their potential to contribute to technological and agricultural advancements.

The passage suggests that public sector laboratories need to focus on research that is driven by demand and the needs of the agricultural sector. Quick Tip: Demand-driven research ensures that the findings are more practical and aligned with real-world needs, particularly in agriculture.

The passage emphasizes that the PPP framework can greatly enhance the use of public laboratories’ potential in the agricultural R and D sector. Quick Tip: Collaborations through PPP can open new avenues for research and increase the effectiveness of public laboratories.

The success stories mentioned in the passage are specifically related to PUSA-1121b and BT hybrids, which have significantly impacted crop production. Quick Tip: Look for key references in the passage that highlight specific achievements when identifying success stories.

The word 'Labyrinthine' refers to something that is like a maze, intricate, or difficult to navigate. Hence, the most similar meaning is "Difficult to navigate". Quick Tip: Labyrinthine structures are typically complex and winding, leading to confusion or difficulty in navigation.

'Arduous' refers to something that is very difficult and requires a great deal of effort. The opposite of arduous would be something that is easy or does not require much effort. Quick Tip: Antonyms of words describing effort or difficulty typically refer to ease or simplicity.

The logical order should be:

(iv) He sat down on his system at home.

(iii) Nikhil is a time savvy customer who always wants to save time wherever possible.

(v) One day Nikhil wanted to buy a new mobile phone for him.

(i) Since there was a time constraint for him, he decided to order from online marketing sites.

(ii) And ordered a mobile phone from Amazon.com. Quick Tip: When arranging sentences logically, first consider the actions and their sequence.

The fifth sentence is (iii), as it logically follows after sentence (ii) and before sentence (v). Quick Tip: When identifying specific sentences, be sure to follow the flow of thought and actions described in the paragraph.

E-businesses typically offer a wide variety of products at competitive prices. Hence, the correct answer is product varieties and price. Quick Tip: E-business growth is often attributed to product variety and price flexibility.

The phrase "turned out to be fake" is a common expression used to describe a situation where something is revealed to be false. Quick Tip: In phrases like "turned out to be," 'out' is the common preposition used.

The phrase "Do not put all your eggs in one basket" means to not concentrate all your efforts or resources in one area. Quick Tip: This expression is often used as a metaphor for spreading risks or resources.

The correct order of the jumbled parts of the sentence is PQRS. Quick Tip: Rearranging jumbled sentences requires focusing on the logical sequence of actions and statements.

Ruthless and compassionate are opposite qualities, similar to how lethargic and energetic are opposites. Quick Tip: Opposite pairs help identify relationships based on contrasting qualities.

A parasite is an organism that lives off another, fully depending on the host for survival. Quick Tip: Parasites are often seen as dependent on others, much like a person who doesn't contribute but takes.

The correct answer is (4) Krishna Kumari Kohli, as she is the first Hindu woman to be elected to Pakistan's Senate. Quick Tip: In Pakistan, the election of a Hindu woman to the Senate was a significant milestone.

The correct answer is (1) Nagaland, Sikkim, Mizoram, as these states held their Legislative Assembly Elections in February 2018. Quick Tip: The February 2018 elections were a key political event for these states in the North East.

The correct answer is (4) Anita Brookner, as she was the first woman to win the prestigious Man Booker Prize. Quick Tip: Anita Brookner was recognized for her literary contribution and became the first female winner of the Booker Prize.

The correct answer is (2) Adi Shankara, as he is the one who propounded Advaita philosophy, emphasizing non-dualism. Quick Tip: Advaita philosophy teaches that the ultimate reality is non-dual, and it is a fundamental concept in Vedantic thought.

The correct answer is (3) Sodium carbonate, which is commonly known as washing soda. Quick Tip: Washing soda is commonly used for cleaning purposes due to its alkaline nature.

The correct answer is (3) Chaitra, as it is the first month in the Indian National Calendar. Quick Tip: Chaitra marks the beginning of the Indian National Calendar and is traditionally associated with the start of the Hindu New Year.

The correct answer is (2) Yaksha gana, as it is not a traditional dance form from Kerala but originates from Karnataka. Quick Tip: Kerala is known for its classical dance forms like Kathakali and Mohiniattam, distinct from Yaksha gana.

The correct answer is (1) NITI Aayog, as it spearheads the Atal Innovation Mission in India. Quick Tip: The Atal Innovation Mission (AIM) fosters innovation and entrepreneurship in India through NITI Aayog.

The correct answer is (2) Walmart, which acquired Flipkart in 2018 to strengthen its e-commerce presence in India. Quick Tip: Walmart's acquisition of Flipkart was a major move to enhance its market share in India's growing e-commerce sector.

The correct answer is (3) Pradhan Mantri Ujjwala Yojana, which aims to provide free LPG connections to women from BPL families. Quick Tip: Pradhan Mantri Ujjwala Yojana promotes health and welfare by providing clean cooking fuel to families below the poverty line.

Krishna Kumari Kohli is the first Hindu woman to be elected to Pakistan's Senate. She was elected from the Sindh province in 2018.
Quick Tip: Kohli’s election was a historic moment for religious minorities in Pakistan, showcasing diversity in political representation.

The Legislative Assembly Elections in Tripura, Meghalaya, and Nagaland were held in February 2018. These elections were significant as they played a role in shaping the political landscape of India’s North-East region.
Quick Tip: The elections in the North-Eastern states often reflect regional political issues and trends.

Anita Brookner was the first woman to win the Man Booker Prize for her novel "Hotel du Lac" in 1984. This achievement made her one of the prominent figures in contemporary literature.
Quick Tip: Anita Brookner’s novel, "Hotel du Lac," was admired for its introspective and emotionally rich narrative.

The Jarwas are an indigenous tribe of the Andaman Islands. They are one of the few remaining isolated tribes in the world. The Aboriginal tribe is from Australia, and Maasai are from East Africa.
Quick Tip: The Jarwa tribe has a very limited contact with the outside world, maintaining their traditional lifestyle.

Smallpox was globally eradicated in May 1980, thanks to the concerted efforts of the World Health Organization (WHO), making it the first disease to be eradicated by human intervention.
Quick Tip: The success in eradicating smallpox remains a major milestone in public health and disease control.

The Rail Heritage Digitization project is a collaboration between Indian Railways and Google Arts and Culture. It aims to preserve the rich heritage of Indian Railways through digitization and make it accessible to the public.
Quick Tip: This project plays a vital role in preserving India’s rail heritage and promoting digital accessibility.

In an electric circuit, Ohm’s Law describes the relationship. Voltage (V) is directly proportional to current (I) and resistance (R), which implies V = IR. Hence, current and voltage are inversely proportional when resistance is constant, while voltage and resistance are directly proportional.
Quick Tip: Ohm’s Law is a fundamental principle that helps in understanding the relationship between voltage, current, and resistance.

The abbreviation IOT stands for "Internet of Things." It refers to the network of physical devices, vehicles, appliances, and other items embedded with sensors and software to connect and exchange data.
Quick Tip: IOT is a revolutionary concept that is transforming industries by enabling smart connectivity and data sharing.

Naya Raipur is the new capital of Chhattisgarh, named Atal Nagar in honor of former Prime Minister Atal Bihari Vajpayee.
Quick Tip: Naya Raipur symbolizes the efforts towards urbanization and development in Chhattisgarh.

INS Arihant is India’s first indigenous nuclear-powered ballistic missile submarine. It is a significant achievement in India’s defense capabilities.
Quick Tip: INS Arihant is a strategic asset for India's naval defense and nuclear deterrence.

Philip Diehl is credited with inventing the ceiling fan. He invented the electric ceiling fan in 1882, creating a significant advancement in home comfort.
Quick Tip: The ceiling fan invention revolutionized home cooling, with Philip Diehl's work standing out in the field of electrical innovations.

In October 2018, the Government of India appointed the National Security Advisor to head the 'Strategic Policy Group' which assists the National Security Council. This move reflects India's focus on strengthening its security policy framework.
Quick Tip: The National Security Advisor plays a pivotal role in shaping India's security and foreign policy strategy.

Zimbabwe was the first non-test playing country to beat India in an international cricket match, a historic moment for cricket history.
Quick Tip: Despite being a non-Test playing nation, Zimbabwe's win over India in international cricket marked a significant milestone in the sport's history.

France is not a member of the G-4 nations that have been advocating for reforms in the UNSC, unlike the other three countries (India, Brazil, and Germany) who have been vocal about the issue.
Quick Tip: The G-4 nations, consisting of India, Brazil, Germany, and Japan, are working towards a permanent seat in the UNSC to represent their growing global influence.

Statement 1 is correct as nuts are high in fats, proteins, and carbohydrates. However, Statement 2 is incorrect as cashew nuts are typically categorized as high in fats and proteins rather than carbohydrates.
Quick Tip: Nuts are nutrient-dense foods, rich in healthy fats, proteins, and carbohydrates, but they don't all fall into the same category, like cashews which are high in fat.