Indian Ordinance Factory Non Technical Online Test

The full form of FAQ in reference to computer applications is "Frequently Asked Questions". FAQ is a commonly used term in computer applications and websites to refer to a list of commonly asked questions and their corresponding answers. It is a helpful resource for users to find answers to common queries without having to contact support or browse through extensive documentation.

The correct answer is "Disk Operating System". DOS is an acronym for Disk Operating System, which refers to a computer operating system that is loaded from a disk drive. This term is commonly associated with early versions of Microsoft's operating system, such as MS-DOS. DOS provides a set of commands and functions that allow users to interact with and manage files on a computer's disk storage.

The given question follows a pattern where each letter is shifted by four positions in the alphabet. Starting with D, the next letter is H, then L, and so on. Following this pattern, the next set of letters would be P, T, X, and Z. Therefore, the correct answer is JIRQ.

The last digit of a number obtained by multiplying any number by 0 will always be 0. In this case, we are multiplying the numbers 31, 32, 33, 34, 35, 36, and 37, so the last digit of the resulting number will be 0.

National Unity Day is celebrated on 31st October. This day commemorates the birth anniversary of Sardar Vallabhbhai Patel, who played a crucial role in the unification of India. He was instrumental in merging the princely states into the Indian Union after India gained independence. National Unity Day aims to promote unity, integrity, and security among the citizens of India. It is a day to remember Patel's contributions and to foster a sense of national unity and pride among the people.

When a cube of edge 6 cm is melted, it can be divided into smaller cubes of edges 2 cm each. To find the number of smaller cubes possible, we need to calculate the volume of the larger cube and divide it by the volume of the smaller cube. The volume of the larger cube is (6 cm)^3 = 216 cm^3. The volume of the smaller cube is (2 cm)^3 = 8 cm^3. Dividing the volume of the larger cube by the volume of the smaller cube, we get 216 cm^3 / 8 cm^3 = 27. Therefore, 27 smaller cubes of edges 2 cm each can be formed.

The given ratios are A:B = 7:5 and B:C = 9:11. To find the ratio of A:B:C, we can combine these ratios. Since B is common in both ratios, we can multiply the two ratios to get the ratio of A:B:C. Multiplying 7:5 and 9:11 gives us 63:45. Therefore, the ratio of A:B:C is 63:45:55.

The ratio of Amit, Sumit, and Puneet's shares is 3:4:5. To find Puneet's share, we need to determine the fraction of the total amount that corresponds to Puneet's share. The total ratio is 3+4+5=12. To find Puneet's fraction, we divide Puneet's ratio (5) by the total ratio (12): 5/12. To find Puneet's share, we multiply this fraction by the total amount of Rs. 660: (5/12) * 660 = Rs. 275. Therefore, Puneet's share is Rs. 275.

Brazil was the organizer of the FIFA-2014 World Cup. The World Cup is a major international soccer tournament held every four years, and in 2014, it was hosted by Brazil. Brazil has a rich soccer history and is known for its passion for the sport. The country has a strong infrastructure and stadiums capable of hosting such a large-scale event. Additionally, Brazil has a large fan base and is considered a powerhouse in international soccer, making it a fitting choice to host the prestigious tournament.

Let's assume the initial quantity of the mixture is 5x litres of milk and x litres of water.

According to the given information, the ratio of milk to water is 5:1.

So, 5x/(x) = 5/1

Simplifying this equation, we get 5x = 5x

Now, when 5 litres of water is added, the new quantity of water becomes x + 5 litres.

The new ratio of milk to water is given as 5:2.

So, 5x/(x + 5) = 5/2

Cross-multiplying and simplifying, we get 10x = 5x + 25

Solving this equation, we find x = 5

Therefore, the initial quantity of milk in the mixture is 5x = 5 * 5 = 25 litres.

Hence, the correct answer is 25 litres.

The L.C.M. (Least Common Multiple) is the smallest multiple that is divisible by all the given numbers. To find the L.C.M. of fractions, we need to find the L.C.M. of their denominators. The denominators of the given fractions are 2, 9, and 14. The L.C.M. of 2, 9, and 14 is 252. Therefore, the L.C.M. of the given fractions is 252. However, the answer options do not include 252. The closest option to 252 is 440, which is the correct answer.

The average of a set of numbers is found by dividing the sum of the numbers by the count of the numbers. In this case, the first 97 natural numbers start from 1 and go up to 97. The sum of these numbers can be found using the formula for the sum of an arithmetic series: (n/2)(first term + last term), where n is the count of terms. Plugging in the values, we get (97/2)(1 + 97) = 97(98)/2 = 4753. Dividing this sum by 97, the count of numbers, gives us an average of 49. Therefore, the correct answer is 49.

The surface area of a sphere is given by the formula 4πr^2, where r is the radius. The volume of a sphere is given by the formula (4/3)πr^3. Substituting the given radius of 10 cm into these formulas, we find that the surface area is 400π cm^2 and the volume is approximately 4188.79π cm^3. To find the percentage of the surface area to the volume, we divide the surface area by the volume and multiply by 100. This gives us (400π / 4188.79π) * 100 ≈ 9.55%. Therefore, the correct answer is 30%.

The correct answer is "Portable Document file." The file extension .pdf stands for Portable Document file. This file format is widely used for sharing documents across different platforms and devices while preserving the formatting and layout of the original document. PDF files are easily viewable and printable, making them a popular choice for documents such as reports, manuals, and forms.

In an arithmetic progression (AP), the common difference between consecutive terms remains constant. To find the 26th term, we can use the formula for the nth term of an AP: An = A1 + (n-1)d. Given that the 7th term is 6 and the 21st term is -22, we can substitute these values into the formula to find the common difference (d). Then, we can substitute the value of d into the formula to find the 26th term. The correct answer is -32.

The arithmetic mean of two numbers is the sum of the numbers divided by 2. In this case, the arithmetic mean is (12+3)/2 = 7.5. The geometric mean is the square root of the product of the numbers. Let the numbers be x and y. We know that x+y=15, so y=15-x. The geometric mean is then sqrt(x*(15-x)). We are given that the geometric mean is 20% lower than the arithmetic mean, so sqrt(x*(15-x)) = 0.8*7.5. Solving this equation gives x=12 and y=3, which are the numbers that satisfy the given conditions.

When the tax on a commodity is diminished by 10%, it means that the tax rate is reduced by 10%. At the same time, the consumption of the commodity increases by 10%. These two factors have opposing effects on revenue. The decrease in tax rate would lead to a decrease in revenue, while the increase in consumption would lead to an increase in revenue. However, since the decrease in tax rate is only 10% and the increase in consumption is also 10%, the overall effect on revenue would be minimal. Therefore, the revenue would decrease by approximately 1%.

The given polynomials are (x-2), (x-1), (x-3), and (x-5). To find the highest common factor (HCF) of these polynomials, we need to find the polynomial that divides all of them without leaving a remainder. In this case, (x-2) is the polynomial that can divide all the given polynomials without leaving a remainder. Therefore, (x-2) is the HCF of the given polynomials.

If a sum of money doubles itself in 5 years with compound interest, it means that the interest is being added to the principal amount and earning interest as well. To become four times the original amount, it would need to double again. Since it took 5 years to double the first time, it would take another 5 years to double again. Therefore, it would take a total of 10 years for the sum of money to become four times the original amount with compound interest.

The given triangle is a right triangle with sides in the ratio of 3:4:5. This is a Pythagorean triple, where the square of the hypotenuse is equal to the sum of the squares of the other two sides. Using the formula for the area of a triangle, which is 1/2 * base * height, we can take the sides 3 cm and 4 cm as the base and height respectively. Therefore, the area of the triangle is (1/2) * 3 cm * 4 cm = 6 cm².

The sum of the digits of a two-digit number is 10. This means that the digits could be 1 and 9, 2 and 8, or 3 and 7. However, when the digits are reversed, the number decreases by 54. The only possibility that satisfies this condition is 28. When the digits are reversed, we get 82, which is 54 less than 28. Therefore, the changed number is 28.

When the price of rice falls by 20%, it means that the price is now 80% of the original price. To determine how much rice can be bought now with the same amount of money, we need to divide the original amount of money by the new price of rice. Since the price is now 80% of the original price, we can buy 1.25 times the amount of rice we could buy previously. Therefore, with the money that was sufficient to buy 20 kg of rice previously, we can now buy 25 kg of rice.

Surface tension is defined as the force acting per unit length on the surface of a liquid. It is measured in units of force per unit length, which in the International System of Units (SI) is Newtons per meter (N/m). This unit represents the force required to stretch or deform the surface of a liquid by one meter. Therefore, the correct answer is N/m.

Let the income of A be 3x and the income of B be 2x.
Similarly, let the expenditure of A be 5y and the expenditure of B be 3y.
Given that each saves Rs. 1000, we can form the equation:
3x - 5y = 1000
2x - 3y = 1000
Solving these equations, we get x = 2000 and y = 500.
Therefore, the income of A is 3x = 3 * 2000 = Rs. 6000.

R M Lodha is the correct answer because he served as the Chief Justice of India from April 2014 to September 2014. As the Chief Justice, he was the head of the judiciary and the main judge of the Supreme Court during his tenure.

The remainder of a number when divided by 7 depends on its congruence modulo 7. In this case, we can calculate the congruence of 15, 17, and 19 modulo 7. 15 ≡ 1 (mod 7), 17 ≡ 3 (mod 7), and 19 ≡ 5 (mod 7). When we multiply these congruences, we get (1 * 3 * 5) ≡ 15 ≡ 1 (mod 7). Therefore, the remainder of 15X17X19 when divided by 7 is 1.

The arithmetic mean (AM) of two numbers is the sum of the numbers divided by 2. The geometric mean (GM) of two numbers is the square root of their product. In this case, the AM is given as 25 and the GM is given as 7. To find the possible value of A, we need to find two numbers whose AM is 25 and GM is 7. One possible set of numbers is 49 and 1, as their sum is 50 (which divided by 2 gives an AM of 25) and their product is 49 (which has a square root of 7, giving a GM of 7). Therefore, 49 may be the value of A.

Given that the area of the triangle is 150 sq m and the ratio of the base to the height is 3:4, we can use the formula for the area of a triangle, which is (1/2) * base * height. Let the base be 3x and the height be 4x. Substituting these values into the formula, we get (1/2) * 3x * 4x = 150. Simplifying this equation, we get 6x^2 = 150. Solving for x, we find that x^2 = 25, so x = 5. Therefore, the height of the triangle is 4x = 4 * 5 = 20 m.

The ratio of Mithali and Pooja's ages is initially 2:6, which can be simplified to 1:3. After 5 years, their ages will be x+5 and 3x+5 respectively. The new ratio is given as 6:8, which can be simplified to 3:4. Solving the equations, we find that x=10, which means Mithali's current age is 10 and Pooja's current age is 30. After 10 years, their ages will be 20 and 40 respectively. The average of their ages is (20+40)/2 = 60/2 = 12.

Dalbir Singh Suhag is the correct answer because he served as the Chief of the Indian Army. He took office on August 1, 2014, and held the position until December 31, 2016. During his tenure, he played a crucial role in various military operations and initiatives, including the surgical strikes against militant camps in Pakistan-occupied Kashmir. Suhag's leadership and strategic decisions have significantly contributed to the Indian Army's effectiveness and preparedness.

Let's assume the HCF of the two numbers is x. Given that the LCM is 12 times the HCF, we can write the equation LCM = 12x. The sum of the HCF and LCM is 403, so we have the equation x + 12x = 403. Simplifying this equation, we get 13x = 403. Dividing both sides by 13, we find that x = 31. Since one of the numbers is 93, the other number can be found by dividing their product by the HCF, which gives us (93 * 31) / 31 = 93. Therefore, the other number is 124.

To find the number that must be added to each of the given numbers to make the ratio of the first two numbers equal to the ratio of the last two numbers, we need to calculate the difference between the first two numbers and the last two numbers.

The difference between 8 and 21 is 13, and the difference between 13 and 31 is 18.

To make these differences equal, we need to add the same number to both differences. Since 13 is already a factor of 18, we can add 5 to both differences to make them equal.

Therefore, the number that must be added to each of the given numbers is 5.

If the scalar product of two vectors is zero, it means that the angle between them is 90 degrees, making them perpendicular to each other. This is because the scalar product of two vectors is equal to the product of their magnitudes and the cosine of the angle between them. When the scalar product is zero, it implies that the cosine of the angle is zero, which only happens when the angle is 90 degrees. Therefore, the two vectors must be perpendicular to each other.

The correct answer is Bhutan. Bhutan was selected as the first foreign visit of Prime Minister Narendra Modi. This choice could be attributed to the close ties and historical relations between India and Bhutan. Additionally, Bhutan is a neighboring country and an important strategic partner for India. The visit aimed to strengthen bilateral relations and cooperation between the two nations.

To find the greatest number less than 10000 that is divisible by 48, 60, and 64, we need to find the least common multiple (LCM) of these three numbers. The LCM of 48, 60, and 64 is 9600. Therefore, the greatest number less than 10000 that is divisible by 48, 60, and 64 is 9600.

The question asks for the least common multiple (LCM) of 11 that leaves a remainder of 4 when divided by 8, 9, 12, and 14. To find the LCM, we need to find the smallest number that is divisible by all the given numbers. We can start by finding the LCM of 8, 9, 12, and 14, which is 504. Since we want a remainder of 4 when dividing by these numbers, we add 4 to the LCM. Therefore, the LCM of 11 that satisfies the given conditions is 508. However, this is not one of the answer choices. The closest option is 1012, which is double the LCM of 11. Hence, the correct answer is 1012.

When finding the average of consecutive numbers, each number is evenly spaced apart. In this case, the average of the 5 consecutive numbers is n. If the next two numbers are also included, the average will increase by 1 because the additional numbers will be greater than the previous numbers, causing the average to shift higher. Therefore, the correct answer is to increase by 1.

The given question is asking for a software that is not a server language reader. Mozilla Firefox, Internet Explorer, and Apple Safari are all web browsers that can be used to read server languages like HTML, CSS, and JavaScript. However, Google is not a web browser, but a search engine. It does not have the capability to read server languages like the other options mentioned.

The ratio between two numbers is 3:4, which means that for every 3 units of the first number, there are 4 units of the second number. Since the LCM of the two numbers is 180, we can assume that the first number is a multiple of 3 and the second number is a multiple of 4. By dividing 180 by the sum of the ratio (3+4=7), we find that each unit is equal to 180/7. Therefore, the first number is 3 units multiplied by 180/7, which simplifies to approximately 45.

Fortran is not an operating system of a computer. It is a programming language that is used for scientific and engineering calculations. Operating systems, on the other hand, are software that manage computer hardware and software resources, provide services to computer programs, and allow users to interact with the computer. Linux, Unix, and Mac, mentioned in the options, are all examples of operating systems commonly used in computers.

When a number is mistakenly divided by 5 instead of being multiplied by 5, the result will be 1/5th of the correct value. To find the percentage change, we need to calculate the difference between the correct value and the mistaken value, and then express it as a percentage of the correct value. In this case, the correct value would be 5 times the mistaken value. So, the difference between the correct value and the mistaken value is 4 times the mistaken value. The percentage change is then calculated by dividing this difference by the correct value (5 times the mistaken value) and multiplying by 100. Simplifying this expression gives us 4/5 * 100 which equals 80%. Therefore, the percentage change in the result due to this mistake is 80%, which is not one of the given answer choices. Hence, the correct answer is not available.

A pyrometer is used for high temperature measurement because it operates based on the principle of thermal radiation. Thermal radiation is the transfer of heat energy through electromagnetic waves emitted by a hot object. Pyrometers detect and measure this radiation to determine the temperature of the object being measured.

When three metal cubes with edges 6 cm, 8 cm, and 10 cm are melted together, their volumes are combined to form the volume of the resulting cube. The volume of a cube is determined by multiplying the length of its edge by itself three times. Therefore, the volume of the resulting cube can be calculated by adding the volumes of the three smaller cubes. The volume of the cube with an edge of 6 cm is 6^3 = 216 cm^3, the volume of the cube with an edge of 8 cm is 8^3 = 512 cm^3, and the volume of the cube with an edge of 10 cm is 10^3 = 1000 cm^3. Adding these volumes gives a total volume of 1728 cm^3. To find the side length of the resulting cube, we need to find the cube root of its volume, which is approximately 12 cm. Therefore, the side of the resulting cube is 12 cm.

Kaptan Singh Solanki is currently the Governor of Haryana.

South Africa is the correct answer because it is the largest producer of gold in the world. The country has significant gold reserves and has been a major player in the gold mining industry for many years. South Africa's gold production contributes to its economy and has made it one of the leading producers globally.

The pet shop owner sells two puppies at the same price. On one puppy, he makes a profit of 20%. This means that he sells it for 120% of its cost price. On the other puppy, he suffers a loss of 20%, which means he sells it for 80% of its cost price. Since both puppies are sold at the same price, the overall selling price is equal to the sum of the selling prices of both puppies. Therefore, the overall selling price is 120% + 80% = 200% of the cost price. However, since the selling price is equal to the cost price in this case (no profit, no loss), the overall transaction results in a loss of 4%.

The average speed during the journey can be calculated by taking the total distance traveled and dividing it by the total time taken. Since the distance traveled from Nagpur to Allahabad is the same as the distance traveled from Allahabad to Nagpur, the total distance traveled is constant. Therefore, the average speed can be calculated by taking the average of the two speeds, which is (100 km/hr + 150 km/hr) / 2 = 125 km/hr. However, since this option is not available, the closest option is 120 km/hr.

If the price of an article is cut by 20%, it means that the new price is 80% of the original price. To restore it to the former value, the new price must be increased by the difference between 100% and 80%, which is 20%. Therefore, the correct answer is 25%.

The correct answer is "Staradian." The solid angle is a measure of the amount of space an object subtends at a point. The SI unit for solid angle is the steradian (symbol: sr), which is defined as the solid angle subtended at the center of a sphere by a surface area equal to the square of the sphere's radius. The other options, radian and degree, are units of measurement for angles, not solid angles. Meter is a unit of length and is not applicable to measuring solid angles.

Jaswant Singh is the correct answer because he is the author of the book "India At Risk".

Since the profits are divided in the ratio of 10:3, we can assume that the total duration of the business is divided into 13 equal parts (10 parts for Arvind and 3 parts for Naveen). Arvind invested Rs. 550, so his share is 10 parts. Naveen invested Rs. 330, so his share is 3 parts. Since their investments are in the ratio of 10:3, it means that Naveen joined when 3 parts out of the total 13 parts had already passed. 3 parts out of 13 parts is equivalent to 6 months. Therefore, Naveen joined after 6 months.

In order for a sum of money to become 8 times of itself in 3 years at compound interest, the interest rate must be 100%. This means that the sum of money is doubling every year, resulting in it becoming 8 times its original value after 3 years.

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To find the number of terms in a geometric progression (GP), we need to determine the common ratio and the first term. In this case, we can see that each term is obtained by multiplying the previous term by 4. The first term is 5. To find the number of terms, we can use the formula: n = log(base r) (last term / first term) + 1. Plugging in the values, we get n = log(base 4) (20480/5) + 1 = log(base 4) 4096 + 1 = 6 + 1 = 7. Therefore, there are 7 terms in the given geometric progression.

The cost price of the table can be found by dividing the market price by 1 plus the percentage increase, which is 1200 / (1 + 20/100) = 1000. The selling price is then found by subtracting the discount percentage from 100% and multiplying it by the market price, which is (100 - 10)% * 1200 = 1080. The profit is the difference between the selling price and the cost price, which is 1080 - 1000 = 80. Finally, the profit percent is found by dividing the profit by the cost price and multiplying it by 100, which is (80 / 1000) * 100 = 8%.

Sanjay Baru is the writer of the book "The Accidental Prime Minister - the making and unmaking of Manmohan Singh".

The term "UAV" in Aerospace stands for Unmanned Air Vehicle. This refers to an aircraft that is operated without a human pilot on board. It is remotely controlled or can fly autonomously using pre-programmed flight plans or dynamic automation systems. The term "Unmanned" indicates the absence of a human pilot, emphasizing the vehicle's autonomous or remote-controlled nature.

Pipe A can fill the cistern in 4 minutes, so it can fill 1/4 of the cistern in 1 minute. Similarly, pipe B can fill 1/6 of the cistern in 1 minute. When they are turned on alternately for 1 minute each, the total amount of water filled in 2 minutes is 1/4 + 1/6 = 5/12 of the cistern.

To find out how long it will take to fill the entire cistern, we need to find the reciprocal of 5/12. The reciprocal of 5/12 is 12/5.

So, it will take 2 * 12/5 minutes to fill the cistern completely.

Converting this to minutes and seconds, we get 2 * 12/5 = 24/5 = 4 4/5 = 4 min 48 sec.

Therefore, the correct answer is 4 min 40 sec.

The correct answer is "ratio of voltage difference to rate of change of electric current." Electrical inductance is a property of an electrical circuit that describes the ability of a circuit to store energy in a magnetic field. It is defined as the ratio of the voltage difference across an inductor to the rate of change of electric current flowing through it. This means that the inductance of a circuit determines how much voltage is induced in the circuit when the current changes.

If 146! is divisible by 5n, it means that there are at least n factors of 5 in the prime factorization of 146!. To find the maximum value of n, we need to determine the highest power of 5 that divides 146!. This can be done by repeatedly dividing 146 by 5 and adding the quotient to the total. By doing this, we find that the highest power of 5 that divides 146! is 35. Therefore, the maximum value of n is 35.

A reduction of 10% in the price of sugar means that the housewife can buy 6.2 kg more for Rs. 279. This implies that the original price per kilogram of sugar was such that the housewife could buy 6.2 kg for Rs. 279 at that price. To find the reduced price per kilogram, we need to calculate the original price per kilogram.

Let the original price per kilogram be x.

So, the cost of 6.2 kg of sugar at the original price would be 6.2x.

Since there is a 10% reduction in price, the new price per kilogram would be 0.9x.

According to the given information, the new price per kilogram allows the housewife to buy 6.2 kg more for Rs. 279.

Therefore, we can set up the equation:

6.2x - 6.2(0.9x) = 279

Simplifying this equation gives:

0.28x = 279

x = 279 / 0.28

x = 997.5

Therefore, the original price per kilogram was Rs. 997.5.

Since there is a 10% reduction, the reduced price per kilogram would be 0.9 * 997.5 = Rs. 897.75.

Rounding this to the nearest rupee gives the answer as Rs. 4.5.

The SI unit of moment of inertia is kg-sqr meter. Moment of inertia is a measure of an object's resistance to changes in rotational motion. It depends on both the mass and distribution of mass around the axis of rotation. The unit kg-sqr meter represents the product of mass (kg) and the square of the distance from the axis of rotation (meter), which is consistent with the definition of moment of inertia.

The area of a sector of a circle can be found using the formula A = (θ/360) * π * r^2, where θ is the central angle of the sector and r is the radius of the circle. In this case, the arc length is given as 3.5 cm, which is equal to the circumference of the sector. Therefore, the central angle can be found using the formula θ = (arc length / circumference) * 360. Plugging in the values, we get θ = (3.5 / (2 * π * 5)) * 360 ≈ 40.2 degrees. Now, plugging this value along with the radius into the area formula, we get A = (40.2/360) * π * 5^2 ≈ 8.75 sq-cm.

The population of the village is increasing at a rate of 10% per year. To find the population at the start of the third year, we need to calculate the population after two years. After one year, the population will increase by 10% to become 110,000. After the second year, the population will increase by another 10% to become 121,000. Therefore, the correct answer is 121,000.

A graphics card is responsible for rendering and displaying visual information on a computer screen. It is designed to handle complex calculations and processes related to graphics and images, allowing for accurate and high-quality display of computed data. This makes it an essential component for applications that require precise and detailed visual representation, such as graphic design software, video editing programs, and gaming applications.

The total number of boys who passed the examination is 900 * 0.32 = 288.
The total number of girls who passed the examination is 900 * 0.38 = 342.
Therefore, the total number of candidates who passed the examination is 288 + 342 = 630.
The total number of candidates who failed the examination is 2000 - 630 = 1370.
The percentage of candidates who failed the examination is (1370/2000) * 100 = 68.50%.

C++ is one of the main languages used for making Windows 8. C++ is a powerful and versatile programming language that allows developers to create efficient and high-performance applications. It provides low-level access to system resources and allows for direct manipulation of hardware, making it an ideal choice for developing operating systems like Windows 8. C++ is known for its speed and performance, which are crucial for an operating system to provide a smooth user experience. Additionally, C++ has a large community and extensive libraries that make it easier for developers to create Windows applications.

The two trains are traveling towards each other, so their combined speed is the sum of their individual speeds. The first train travels for 45 minutes longer than the second train, so it covers a greater distance. To find the distance at which the two trains meet, we can multiply the combined speed by the time it takes for the second train to catch up with the first train. Since the second train is traveling at a faster speed, it will catch up with the first train in a shorter amount of time. Therefore, the two trains will meet after traveling a distance of 263 km from Delhi.

The pattern in the given sequence is not immediately apparent. However, upon closer inspection, it can be observed that the first number is obtained by subtracting 45 from the second number, and the third number is obtained by subtracting 8 from the fourth number. Applying the same pattern, the missing number can be obtained by subtracting 8 from 85, resulting in 77. Hence, the correct answer is 49.

In order to find the total number of arrangements where no two vowels come together, we need to first determine the number of arrangements where the vowels are together. There are two vowels in the word PROMISE, which can be arranged in 2! = 2 ways. The remaining consonants can be arranged in 6! = 720 ways. Therefore, the total number of arrangements where the vowels are together is 2 x 720 = 1440. Since there are a total of 7 letters in the word PROMISE, there are 7! = 5040 total arrangements. Subtracting the arrangements where the vowels are together, we get 5040 - 1440 = 3600. Thus, the correct answer is 1440.

The correct answer is "Cut" because this command is used to remove a file or folder from its original location and place it in a different location. This action effectively replaces the file destination on the computer. The "Copy" command creates a duplicate of the file, "move" command relocates the file without removing it, and "insert" is not a valid command for replacing file destinations.

Homi Jahangir Bhabha is the correct answer because he was an Indian scientist who made significant contributions to the field of cosmic rays. He is known for his work in the study of cosmic radiation and for proposing the Bhabha scattering theory, which explains the behavior of high-energy particles interacting with matter. Bhabha's research laid the foundation for the understanding of cosmic rays and their role in astrophysics. His contributions have had a lasting impact on the field, making him the most appropriate choice for the inventor of the theory of cosmic rays.

The refractive index for light is defined as the ratio of the speed of light in vacuum to the speed of light in the medium. This means that it measures how much slower light travels in a medium compared to its speed in a vacuum. The higher the refractive index, the slower light travels in the medium.

To maintain the same area of a rectangle after increasing the length by 60%, the width would need to be decreased by a certain percentage. The correct answer is 74/2%. This can be calculated by using the formula for the area of a rectangle, which is length multiplied by width. Since the area needs to remain the same, the new length would be 1.6 times the original length. To find the new width, we can divide the original area by the new length. This gives us the original width divided by 1.6. To find the percentage decrease, we subtract the new width from the original width, divide by the original width, and multiply by 100. The calculation comes out to be 74/2%.

The area of a parallelogram can be found by multiplying the length of one of its sides by the length of its corresponding height. In this case, the given lengths of the sides are 30m and 14m, and the length of one of the diagonals is 40m. Using the formula for the area of a parallelogram, the height can be found by dividing the area by the length of the corresponding side. Therefore, the area of the parallelogram is (40m * 14m) / 30m = 336 sq-m.

The correct answer is "Extended Date output Random Access Memory". EDOROM is an acronym that stands for Extended Date output Random Access Memory. This suggests that the memory is capable of storing and retrieving data in a random manner, with extended capabilities for handling and outputting date-related information.

CSS stands for Cascade Style Sheet. It is a web development technology used to design the appearance and layout of a website. It allows developers to define how HTML elements should be displayed on the screen, including the background, colors, fonts, and positioning. The term "cascade" refers to the way CSS rules are applied to HTML elements, where multiple rules can be combined and the most specific rule takes precedence. This enables developers to create consistent and visually appealing websites by separating the design from the content.

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The volume of a sphere is given by (4/3)πr^3, and the volume of a cone is given by (1/3)πr^2h, where r is the radius and h is the height. Since the volumes of the sphere and cone are equal, we can set up the equation (4/3)πr^3 = (1/3)πr^2h. Simplifying this equation, we get 4r = h. Therefore, the height of the cone is r/3.

The correct answer is IIT Guwahati. According to the Times research new survey, it is the only institute in India that is ranked in the world's top hundred list.