Quiz Nikhil

Five years ago, A was half of B in age. This means that if we subtract 5 from A's age and divide it by 2, we will get B's age 5 years ago. Let's assume A's present age is 2x and B's present age is 3x. So, 5 years ago, A's age was (2x - 5) and B's age was (3x - 5). According to the given information, (2x - 5) = (1/2)(3x - 5). Solving this equation, we find that x = 5. Therefore, B's present age is 3x = 3(5) = 15 years.

Let's assume A's age is x, B's age is y, and C's age is z. The first statement can be written as x + y = y + z + 24. Simplifying this equation, we get x - z = 24. This means that C is 24 years younger than A. Therefore, the answer is 24.

Five years ago, let the son's age be x. Therefore, the father's age would be 3x. Now, five years later, the son's age would be x + 10 and the father's age would be 3x + 10. According to the given information, 3x + 10 = 2(x + 10), which simplifies to x = 10. Therefore, the son's present age is 10 and the father's present age is 30. The ratio of their present ages is 30:10, which simplifies to 3:1. This ratio can be further simplified to 7:3.

When the father says he was as old as the son is now at the time of the son's birth, it means that the age difference between the father and the son is the same as the son's current age. If the father is currently 46 years old, it means that the son is currently 46 - x years old, where x represents the son's current age. After six years, the son will be 46 - x + 6 years old. Since the question asks for the son's age, the answer is 46 - x + 6 = 52 - x. Since the answer choices are given in numerical form, we need to find the value of x that makes 52 - x equal to one of the answer choices. The only answer choice that satisfies this condition is 27, so the correct answer is 27.

The person's age can be represented as x. According to the given statement, (x + 5) * 4 - 4 * (x - 3) = x. Simplifying this equation, we get 4x + 20 - 4x + 12 = x. Combining like terms, we have 32 = x. Therefore, the person's age is 32.

The square, cube, and pyramid are all three-dimensional shapes, while the circle is a two-dimensional shape. The square, cube, and pyramid also have straight edges and distinct vertices, while the circle has a curved edge and no vertices. Therefore, the circle is least like the others.

Grand Central Terminal in New York is considered the world's largest railway station due to its impressive size and capacity. It covers an area of 48 acres and has 44 platforms, making it one of the busiest transportation hubs in the world. It also features stunning architectural design and houses numerous shops, restaurants, and other facilities. The station serves as a major transportation hub for commuters and travelers, connecting various train lines and serving millions of people each year.

Entomology is the science that studies insects. This field of study focuses on the classification, behavior, physiology, ecology, and identification of insects. Entomologists study various aspects of insects including their anatomy, life cycles, habitats, and interactions with other organisms. They play a crucial role in understanding the impact of insects on ecosystems, agriculture, and public health. By studying insects, entomologists contribute to the development of pest control methods, conservation efforts, and advancements in medical research.

Eritrea, having become the 182nd member of the UN in 1993, is located in the continent of Africa.

Garampani sanctuary is located in Diphu, Assam. This sanctuary is known for its rich biodiversity and is home to various species of flora and fauna. It is a popular tourist destination and offers opportunities for wildlife viewing and nature exploration. The sanctuary is situated in the Karbi Anglong district of Assam and is surrounded by lush green forests and beautiful landscapes.

The Nobel Prize is awarded in the disciplines of Physics, Chemistry, Physiology or Medicine, Literature, Peace, and Economics. Therefore, the correct answer is "All of the above."

The correct answer is Nazi Party. The Nazi Party, led by Adolf Hitler, came into power in 1933 in Germany. They promoted extreme nationalism, anti-Semitism, and totalitarianism. The party's ideology was based on the principles of racial purity and the superiority of the Aryan race. They implemented policies that led to the persecution and genocide of millions of people, including Jews, during World War II. The Nazi Party's rise to power and their subsequent actions had a profound impact on world history.

In 1914, Germany declared war on Russia and France during the First World War. This marked the beginning of a major conflict that would involve many countries and have a significant impact on the world. The declaration of war by Germany was a significant event and set the stage for the subsequent years of fighting and turmoil.

CAO stands for International Civil Aviation Organization. This organization is a specialized agency of the United Nations that sets international standards and regulations for aviation safety, security, efficiency, and environmental protection. It works towards the development of a safe and efficient global aviation system, ensuring the orderly growth of international civil aviation. The other options mentioned in the question, Indian Corporation of Agriculture Organization and Institute of Company of Accounts Organization, do not exist. Therefore, the correct answer is International Civil Aviation Organization.

The correct answer is 'Jhansi Ki Rani', Sohrab Modi. This film was India's first Technicolor film produced in the early 1950s. Sohrab Modi was the producer of this film.

India has the largest deposits of mica in the world. Mica is a mineral that is widely used in various industries such as electronics, cosmetics, and construction. India's mica reserves are found mainly in the states of Jharkhand, Bihar, Andhra Pradesh, and Rajasthan. The country accounts for a significant portion of the global mica production, making it the largest producer and exporter of mica. The abundance of mica deposits in India makes it the correct answer to the question.

The man gains Rs. 55 because he bought the watch for Rs. 1950 and sold it for Rs. 2200 after 1 year. The rate of interest is 10% per annum, so the interest earned on Rs. 1950 for 1 year is Rs. 195. Therefore, the total amount he received after 1 year is Rs. 1950 + Rs. 195 = Rs. 2145. The difference between the amount he received and the amount he paid is Rs. 2145 - Rs. 1950 = Rs. 195, which is the gain he made.

Rajasthan has a total of 25 Lok Sabha seats.

The true discount is the difference between the face value of the amount and the discounted value. In this case, the true discount is Rs. 160. The rate of interest is given as 12% per annum. We can use the formula for calculating true discount: True Discount = Face Value - Discounted Value. Let's assume the time after which it is due is 't' years. So, the discounted value can be calculated as: Discounted Value = Face Value - (Rate of Interest * Face Value * t). Plugging in the given values, we get: 160 = 1760 - (0.12 * 1760 * t). Solving this equation, we find that t is approximately 0.833 years, which is equal to 10 months. Therefore, the correct answer is 10 months.

The correct answer is "Costa Rica, EI Salvador, Guatemala, Honduras, Nicaragua." These countries are all members of the Central American Common Market (CACM).

Bharat Electronics Limited (BEL) is the correct answer because it is a company that manufactures low and high power communication equipment like radius for the use of defence services and paramilitary organisations.

Susan can type 2 pages per minute (10 pages in 5 minutes), while Mary can type 0.5 pages per minute (5 pages in 10 minutes). Therefore, together they can type 2.5 pages per minute. In 30 minutes, they can type 75 pages (2.5 pages per minute multiplied by 30 minutes).

Cuttack is the correct answer because it is the location of the Judicature of Orissa. Bhubaneswar is the capital city of Orissa, but the Judicature is not located there. Therefore, the correct answer is Cuttack.

The given series starts with 3 and each subsequent number is obtained by adding the next odd number. 3 + 1 = 4, 4 + 2 = 6, 6 + 3 = 9, 9 + 4 = 13. Following the same pattern, the next odd number is 5. Therefore, 13 + 5 = 18. Hence, the next number in the series is 18.

The correct answer is Bhutan, Bangladesh, the Maldives, Nepal, India, Pakistan, Afghanistan, and Sri Lanka. These countries are members of SAARC, which is a regional intergovernmental organization comprising of South Asian countries.

The permanent secretariat of the SAARC is located in Kathmandu. This means that the headquarters or main office of the South Asian Association for Regional Cooperation (SAARC) is situated in Kathmandu.

At the start of each regular session, the UN General Assembly elects a President and twenty-one Vice Presidents. These Vice Presidents represent different regions of the world and assist the President in carrying out their duties. Having a diverse group of Vice Presidents ensures that the interests and perspectives of various regions are taken into account during the General Assembly's proceedings.

Brock Lesnar is the current WWE champion because he won the title in a recent match or event. He is known for his exceptional wrestling skills and has held the championship multiple times in the past. Lesnar is a dominant force in the WWE and has defeated many top wrestlers to become the champion. His reign as the WWE champion is ongoing until someone else is able to defeat him in a match.

The correct answer is Washington because the treaty that established NATO, known as the North Atlantic Treaty, was signed in Washington, D.C., on April 4, 1949. This treaty created a military alliance between the member nations, with the goal of collective defense against any external aggression. The signing of the treaty in Washington symbolized the commitment of the member nations to work together in ensuring the security and defense of the North Atlantic region.

The unit of current is ampere. Ampere is a unit of electric current in the International System of Units (SI). It is named after the French mathematician and physicist André-Marie Ampère. Current is the flow of electric charge in a circuit, and ampere is used to measure the rate of flow of electric charge.

The Thomas Cup is an international badminton tournament for men's teams. It is one of the most prestigious and oldest badminton competitions in the world. The cup was donated by Sir George Alan Thomas, hence the name "Thomas Cup." Therefore, the correct answer is badminton.

The correct answer states that "mathli is an illusion and that the only reality that which exists mentally." This aligns with the theory of Idealism, which was expounded by George Hegal, Bishop George, and Berkeley. Idealism posits that the physical world is an illusion and that true reality exists in the mind or consciousness. According to this perspective, our perception of reality is shaped by our thoughts and mental experiences. Therefore, the statement in the answer reflects the core principle of Idealism.

The present UN Secretary-General is from South Korea. This can be inferred from the given answer.

The correct answer is "All of the above" because the question asks about the transport fleet of the Air Force and all three options (IL-765, Boeing-731, and AN-352) are mentioned as part of the fleet. Therefore, the correct answer is that the Air Force's transport fleet consists of all three aircraft.

The term "butterfly" is a swimming stroke. It is one of the four competitive swimming strokes, along with freestyle, backstroke, and breaststroke. The butterfly stroke is characterized by the simultaneous movement of both arms in a circular motion, resembling the fluttering of butterfly wings. Therefore, the correct answer is swimming.

In tennis, the term "deuce" is used to indicate that both players or teams have scored an equal number of points at game point. It is a situation where the score is tied at 40-40. When a player scores a point after deuce, it is called "advantage." This term is commonly used to describe the balanced state of the game before a player or team wins the game point. The other options listed, such as baseline, fault, and grand slam, do not specifically refer to this situation in tennis.

The man sold the cow for Rs. 3600 but allowed the buyer a credit of 2 years. This means that the buyer will pay the amount after 2 years. Since the rate of interest is 10% per annum, the buyer will have to pay an additional 10% of the amount after 2 years. Therefore, the man will receive Rs. 3600 + 10% of Rs. 3600 = Rs. 3960 after 2 years. Since the man purchased the cow for Rs. 3000 and sold it for Rs. 3960 after 2 years, he has a gain of (3960 - 3000)/3000 * 100 = 32%. However, since the question asks for the gain on the same day, the answer is 0%.

The man sold the cow for Rs. 3600, but allowed the buyer a credit of 2 years. This means that the buyer will pay the amount after 2 years. Since the rate of interest is 10% per annum, the buyer will have to pay an additional 10% interest on the amount after 2 years. Therefore, the man will receive Rs. 3600 + (10% of Rs. 3600) = Rs. 3600 + Rs. 360 = Rs. 3960 after 2 years. The man purchased the cow for Rs. 3000 and sold it for Rs. 3960 after 2 years, which means he has a gain of (Rs. 3960 - Rs. 3000)/Rs. 3000 * 100 = 32%. Therefore, the answer 0% is incorrect.

The true discount on Rs. 2562 due 4 months hence is Rs. 122. To find the rate percent, we can use the formula for true discount: True Discount = Principal * Rate * Time. Plugging in the values, we get 122 = 2562 * Rate * (4/12). Simplifying, we find that Rate = 122 * 12 / (2562 * 4/12) = 0.15 or 15%. Therefore, the correct answer is 15%.

The trader owes the merchant Rs. 10,028, but wants to settle the account after 3 months. To calculate the amount he should pay, we need to find the present value of the amount due. Using the formula for present value, we can calculate that the present value of Rs. 10,028 due 1 year hence at a rate of 12% per annum is Rs. 9025.20. Therefore, the trader should pay Rs. 9025.20 after 3 months. However, none of the given options match this amount exactly. The closest option is Rs. 9200, which may be considered as the correct answer.

The better offer is Rs. 12,000 in cash because it is an immediate payment, while the credit option of Rs. 12,880 will be paid after 8 months. Additionally, the credit option includes an interest rate of 18% per annum, which means the man will have to wait and also pay extra money in the form of interest. Therefore, the cash offer is a more favorable and convenient choice for the man.

The true discount is the difference between the face value of the bill and the amount paid. In this case, the true discount is Rs. 10 on a bill of Rs. 110. This means that the amount paid is Rs. 100.

If the time period is doubled, the amount due at the end of the double time would be Rs. 220 (Rs. 110 x 2).

To find the discount on this amount, we can use the formula:

Discount = (True discount / Amount paid) x Amount due

Plugging in the values, we get:

Discount = (10 / 100) x 220 = Rs. 22

Therefore, the discount allowed on the same sum due at the end of double the time is Rs. 22.

The true discount on a bill is the difference between the face value of the bill and the amount received after deducting the discount. In this question, the true discount is given as Rs. 189. To find the amount of the bill, we need to add the true discount to the amount received. Since the true discount is the difference between the face value and the amount received, the amount received is the face value minus the true discount. Therefore, the amount of the bill is Rs. 1764.

The present worth of an amount due in the future can be calculated using the formula: Present Worth = Future Worth / (1 + (Rate of Interest / 100))^Time. Plugging in the given values, we get Present Worth = 2310 / (1 + (15/100))^2 = 2310 / (1.15)^2 = 2310 / 1.3225 = 1748.87. Rounding off to the nearest rupee, the present worth is Rs. 1750.

The average weight of A, B, and C is 45 kg. We are given that the average weight of A and B is 40 kg and the average weight of B and C is 43 kg. To find the weight of B, we can use the formula: Average = Sum of values / Number of values.

Let's assume the weight of A is x kg, the weight of B is y kg, and the weight of C is z kg.

From the given information, we can form the following equations:
(x + y + z) / 3 = 45 --(1)
(x + y) / 2 = 40 --(2)
(y + z) / 2 = 43 --(3)

From equation (2), we can rewrite it as x + y = 80.
From equation (3), we can rewrite it as y + z = 86.

Now, we can solve these two equations to find the value of y (weight of B).
Subtracting equation (2) from equation (1), we get:
(x + y + z) / 3 - (x + y) / 2 = 45 - 40
Simplifying, we get:
z - y = 5 --(4)

Adding equation (3) and equation (4), we get:
(y + z) + (z - y) = 86 + 5
Simplifying, we get:
2z = 91
Dividing by 2, we get:
z = 45.5

Substituting the value of z in equation (4), we get:
45.5 - y = 5
Simplifying, we get:
y = 40.5

Therefore, the weight of B is 40.5 kg. However, this value is not given as an option. Hence, the correct answer cannot be determined with the given options.

The average weight of the first group of 16 boys is 50.25 kg. The total weight of this group can be calculated by multiplying the average weight by the number of boys, which gives us 50.25 kg * 16 = 804 kg.

The average weight of the second group of 8 boys is 45.15 kg. The total weight of this group can be calculated by multiplying the average weight by the number of boys, which gives us 45.15 kg * 8 = 361.2 kg.

To find the average weight of all the boys in the class, we need to find the total weight of all the boys and divide it by the total number of boys. The total weight of all the boys is 804 kg + 361.2 kg = 1165.2 kg. The total number of boys is 16 + 8 = 24.

Therefore, the average weight of all the boys in the class is 1165.2 kg / 24 = 48.55 kg.

The library has an average of 510 visitors on Sundays and 240 on other days. Since the month begins with a Sunday, there will be 4 Sundays in the month. The total number of visitors on Sundays in the month will be 4 times the average number of visitors on Sundays, which is 4 * 510 = 2040. The remaining 26 days in the month will have an average of 240 visitors per day, so the total number of visitors on these days will be 26 * 240 = 6240. Adding the number of visitors on Sundays and other days, the total number of visitors in the month is 2040 + 6240 = 8280. Therefore, the average number of visitors per day in the month is 8280 / 30 = 276. Answer 285 is incorrect.

The average marks of the three batches are given as 50, 55, and 60. To find the average marks of all the students, we need to calculate the weighted average. Since the number of students in each batch is different, we need to take into account the weight of each batch. The weight of each batch is the number of students in that batch divided by the total number of students. Therefore, the weighted average is calculated as (50/55)*55 + (55/60)*60 + (60/45)*45 = 50 + 55 + 60 = 165. Finally, we divide the weighted average by the total number of students to get the average marks of all the students, which is 165/160 ≈ 54.68.

Since the average marks for the class increased by half, it means that the total marks for the class increased by half as well. The difference between the wrongly entered marks and the correct marks is 83 - 63 = 20. This increase of 20 in the total marks of the class is equal to half of the wrongly entered marks. Therefore, the total marks of the class before the correction was 20 x 2 = 40. Since the average marks for the class is the total marks divided by the number of pupils, we can calculate the number of pupils as 40 / 2 = 20. Hence, the correct answer is 35.

The total amount of money the man has is Rs. 480. Since the number of notes of each denomination is equal, let's assume he has x notes of each denomination. The value of one-rupee notes is x, the value of five-rupee notes is 5x, and the value of ten-rupee notes is 10x. The total value of all the notes can be calculated by adding these values: x + 5x + 10x = 16x. Since the total value of all the notes is Rs. 480, we can set up the equation 16x = 480 and solve for x. Dividing both sides by 16, we get x = 30. Since he has x notes of each denomination, the total number of notes he has is 30 + 30 + 30 = 90.