Melange Open School Championship

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| By Sanghavi.nr
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  • 1/30 Questions

    A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

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    • 5
    • 6
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About This Quiz

The Melange Open School Championship features a variety of mathematical and statistical problems designed to challenge and enhance problem-solving skills among participants.

Melange Open School Championship - Quiz

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  • 2. 

    What was the percentage of discount given?  I.  23.5% profit was earned by selling an almirah for Rs. 12,350.   II.  If there were no discount, the earned profit would have been 30%.   III.  The cost price of the almirah was Rs. 10,000.

    • Only I and II

    • Only II and III

    • Only I and III

    • Any two of the three

    • None of these

    Correct Answer
    A. None of these
  • 3. 

    An anti aircraft gun can fire four shots at a time. If the probabilities of the first, second, third and the last shot hitting  the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, what is the probability that four shots aimed at an enemy aircraft will bring  the aircraft down?

    • 0.084

    • 0.916

    • 0.036

    • 0.964

    Correct Answer
    A. 0.964
    Explanation
    The probability of all four shots hitting the enemy aircraft is calculated by multiplying the individual probabilities of each shot hitting. Therefore, the probability is 0.7 * 0.6 * 0.5 * 0.4 = 0.084. However, the question asks for the probability of bringing the aircraft down, which means at least one shot hitting the aircraft. Since the probability of at least one shot hitting is 1 - probability of none of the shots hitting, the probability of bringing the aircraft down is 1 - 0.084 = 0.916.

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  • 4. 

    A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that  all of them are red, is:

    • 1 1/22

    • 3/22

    • 2/91

    • 2/77

    Correct Answer
    A. 2/91
    Explanation
    The probability of drawing a red ball on the first draw is 5/15. After drawing a red ball, there are 4 red balls left out of 14 total balls. So, the probability of drawing a red ball on the second draw is 4/14. Similarly, after drawing two red balls, there are 3 red balls left out of 13 total balls. So, the probability of drawing a red ball on the third draw is 3/13. To find the probability of all three draws being red, we multiply the probabilities together: (5/15) * (4/14) * (3/13) = 2/91.

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  • 5. 

    The diagram shows a regular hexagon and its incircle, radius 12 cm, center O.Calculate the area of the hexagon correct to 2 decimal places.

    • 432 cm2

    • 498.83 cm2

    • 748.25 cm2

    • 1496.49 cm2

    Correct Answer
    A. 498.83 cm2
    Explanation
    To find the area of the hexagon, we can divide it into six congruent equilateral triangles. The radius of the incircle is also the height of each triangle. The formula for the area of an equilateral triangle is ½ * base * height, where the base is the side length of the triangle. In this case, the base is equal to twice the radius of the incircle, which is 24 cm. So, the area of one equilateral triangle is ½ * 24 cm * 12 cm = 144 cm². Since there are six triangles in the hexagon, the total area is 6 * 144 cm² = 864 cm². Rounding to two decimal places, the area of the hexagon is 498.83 cm².

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  • 6. 

    Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

    • Rs. 6400

    • Rs. 6500

    • Rs. 7200

    • Rs. 7500

    Correct Answer
    A. Rs. 6400
    Explanation
    Let the amount invested in scheme A be x and the amount invested in scheme B be (13900 - x). Using the formula for simple interest, we can write the equation:
    (x * 14 * 2)/100 + ((13900 - x) * 11 * 2)/100 = 3508.
    Simplifying this equation, we get:
    28x + 27880 - 22x = 3508.
    Combining like terms, we have:
    6x = 3228.
    Solving for x, we find x = 5380.
    Therefore, the amount invested in scheme B is 13900 - 5380 = 8520.
    Since none of the given options match this amount, the correct answer is not available.

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  • 7. 

    PULSATE : THROB

    • Walk : run

    • Tired : sleep

    • Examine : scrutinize

    • Ballet : dancer

    • Find : lose

    Correct Answer
    A. Examine : scrutinize
    Explanation
    The relationship between "pulsate" and "throb" is that "throb" is a synonym of "pulsate," meaning they have similar meanings. Similarly, the relationship between "examine" and "scrutinize" is that "scrutinize" is a synonym of "examine."

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  • 8. 

    Snowmountainskiwarmthlake?

    • Sand

    • Swim

    • Sunburn

    • Vacation

    Correct Answer
    A. Swim
    Explanation
    The given words "snow," "mountain," "ski," and "warmth" all suggest a cold environment or winter activities. However, the word "swim" stands out as it is associated with water and warm weather. Therefore, "swim" is the odd one out and does not fit the cold and winter theme of the other words.

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  • 9. 

    1, 4, 9, 16, 25, 36, 49, (....)

    • 54

    • 56

    • 64

    • 81

    Correct Answer
    A. 64
    Explanation
    The given sequence consists of perfect squares of consecutive natural numbers. Starting from 1, the sequence includes the squares of 2, 3, 4, 5, 6, 7, and so on. The next perfect square after 49 is 64. Therefore, the missing number in the sequence is 64.

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  • 10. 

    Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

    • 1 year

    • 2 years

    • 25 years

    • Data inadequate

    • None of these

    Correct Answer
    A. Data inadequate
    Explanation
    The question states that Q is as much younger than R as he is older than T. However, it does not provide any specific information about the ages of Q, R, and T. Without knowing the actual ages of these individuals, it is impossible to determine the difference between R and Q's age. Therefore, the data provided is inadequate to answer the question accurately.

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  • 11. 

    Here are some words translated from an artificial language.malgauper means peach cobblermalgaport means peach juicemoggagrop means apple jellyWhich word could mean "apple juice"?

    • Moggaport

    • Malgaauper

    • Gropport

    • Moggagrop

    Correct Answer
    A. Moggaport
    Explanation
    The word "moggaport" could mean "apple juice" because the word "mogga" is used to represent "apple" and the word "port" is used to represent "juice" in the artificial language. Therefore, combining the two words would result in "apple juice."

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  • 12. 

    BCB, DED, FGF, HIH, ___

    • JKJ

    • HJH

    • IJI

    • JHJ

    Correct Answer
    A. JKJ
    Explanation
    The pattern in the given sequence is that the first and third letters are consecutive alphabets, while the second letter is a repetition of the second letter in the previous sequence. Applying this pattern, the missing sequence would be JKJ, where J is repeated in the second position.

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  • 13. 

    pH is an abbreviation for?

    • Power of Hydrogen

    • Possibility of Hydrogen

    • Population of Hydrogen

    • Position of Hydrogen

    Correct Answer
    A. Power of Hydrogen
    Explanation
    pH is an abbreviation for "Power of Hydrogen". It is a measure of the acidity or alkalinity of a solution. The pH scale ranges from 0 to 14, with 7 being considered neutral. A pH value below 7 indicates acidity, while a pH value above 7 indicates alkalinity. The term "Power of Hydrogen" refers to the concentration of hydrogen ions in a solution, which determines its pH level.

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  • 14. 

    Which of the following is used as a lubricant?

    • Graphite

    • Silica

    • Iron Oxide

    • Diamond

    Correct Answer
    A. Graphite
    Explanation
    Graphite is used as a lubricant because of its unique structure and properties. It has a layered structure with weak intermolecular forces, allowing the layers to easily slide over each other. This results in a low coefficient of friction, making graphite an effective lubricant. Additionally, graphite has high thermal stability and can withstand high temperatures, making it suitable for use in various applications where lubrication is required, such as in machinery, engines, and industrial processes.

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  • 15. 

    Potassium nitrate is used in

    • Medicine

    • Fertiliser

    • Salt

    • Glass

    Correct Answer
    A. Fertiliser
    Explanation
    Potassium nitrate is commonly used in fertilizers due to its high nitrogen content. Nitrogen is an essential nutrient for plant growth and development, promoting healthy foliage and enhancing overall plant productivity. Potassium nitrate provides a readily available source of nitrogen, which plants can easily absorb and utilize. By incorporating potassium nitrate into fertilizers, it helps to replenish nitrogen levels in the soil, ensuring optimal plant nutrition and supporting robust plant growth. Therefore, the correct answer is "fertilizer."

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  • 16. 

    Which among the following blood protein regulates the amount of water in plasma?

    • Globulin

    • Albumin

    • Fibrin

    • Fibulin

    Correct Answer
    A. Albumin
    Explanation
    Albumin is the correct answer because it is a blood protein that plays a crucial role in regulating the amount of water in plasma. It helps maintain the osmotic pressure in the blood vessels, which in turn helps to balance the fluid levels in the body. Albumin acts as a carrier for various substances, including hormones, drugs, and electrolytes, and its presence in the blood helps to prevent excessive loss of water from the bloodstream into the surrounding tissues. This ensures that the body maintains a proper balance of fluids and prevents dehydration.

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  • 17. 

    Which among the following hormone can be used as a drug to treat cardiac arrest and some other cardiac problems?

    • Thyroxin

    • Epinephrine

    • Calcitonin

    • Insulin

    Correct Answer
    A. Epinephrine
    Explanation
    Epinephrine can be used as a drug to treat cardiac arrest and some other cardiac problems because it acts as a powerful stimulant for the heart. It increases heart rate, improves blood flow, and enhances the contraction of the heart muscles. This can be beneficial in cases of cardiac arrest where the heart has stopped pumping blood effectively. Epinephrine can also be used to treat other cardiac problems such as low blood pressure or certain types of arrhythmias. Its ability to increase heart rate and improve blood flow makes it a suitable choice for these conditions.

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  • 18. 

    A camera uses a __________ to form an image on a piece of film at the back.

    • Convex lens

    • Concave lens

    • Diverging lens

    • None of these

    Correct Answer
    A. Convex lens
    Explanation
    A convex lens is used by a camera to form an image on a piece of film at the back. A convex lens is thicker at the center and thinner at the edges, causing light rays to converge and form a focused image. This type of lens is commonly used in cameras because it can magnify and focus light onto the film, resulting in a clear and sharp image. Concave lenses, on the other hand, cause light rays to diverge and are not suitable for forming images. Therefore, the correct answer is convex lens.

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  • 19. 

      Forbes magazine named _____ the world's most powerful person of 2015.

    • Angela Merkel

    • Malala Yousafzai

    • Barack Obama

    • Vladimir Putin

    Correct Answer
    A. Vladimir Putin
    Explanation
    Forbes magazine named Vladimir Putin the world's most powerful person of 2015. This recognition could be attributed to Putin's strong leadership and influence in global affairs. As the President of Russia, he has been able to assert his country's power and influence on the world stage through various political and military actions. Putin's control over Russia's vast resources, his role in international conflicts such as the annexation of Crimea, and his ability to shape global alliances have likely contributed to his selection as the most powerful person in the world by Forbes magazine.

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  • 20. 

    Who is the CEO of Hewlett-Packard

    • Ellen Kullman

    • Marillyn Hewson

    • Meg Whitman

    • Andrea Jung

    Correct Answer
    A. Meg Whitman
    Explanation
    Meg Whitman is the correct answer because she is the CEO of Hewlett-Packard. She took on this role in September 2011, leading the company through a period of significant transformation. Whitman has a strong background in business and technology, previously serving as the CEO of eBay and holding executive positions at companies like Procter & Gamble and Hasbro. Under her leadership, Hewlett-Packard focused on streamlining its operations and expanding its presence in key markets. Whitman's tenure as CEO ended in 2018, but she played a crucial role in shaping the company's direction during her time in charge.

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  • 21. 

    A book 'The Future is Now' written by: 

    • Alok Mehta

    • Shashi Tharoor

    • Abhinav Adiga

    • Chetan Bhagat

    Correct Answer
    A. Shashi Tharoor
    Explanation
    The correct answer is Shashi Tharoor because the question asks for the author of the book "The Future is Now" and Shashi Tharoor is one of the options provided.

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  • 22. 

    Who is the first women Governor in India ? 

    • Dr. Annie Besant

    • Sarojini Naidu

    • Vijyalakshami Pandit

    • Durga Banerjee

    Correct Answer
    A. Sarojini Naidu
    Explanation
    Sarojini Naidu is the correct answer because she was the first woman to become a governor in India. She served as the Governor of the United Provinces (now Uttar Pradesh) from 1947 to 1949. Sarojini Naidu was not only a prominent political leader but also a renowned poet and writer. She actively participated in the Indian independence movement and was a key figure in the struggle for women's rights in India.

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  • 23. 

     There is nothing more miserable than the unemployment.

    • Quite miserable

    • Very miserable

    • As miserable

    • No Correction

    Correct Answer
    A. No Correction
    Explanation
    The given sentence is already correct. It states that there is nothing more miserable than unemployment. The word "miserable" is used correctly in the sentence to convey the extreme level of unhappiness and hardship associated with being unemployed.

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  • 24. 

    Spelling test - find correct spelling :

    • Pneumania

    • Pniumonia

    • Nemonia

    • Pneumonia

    Correct Answer
    A. Pneumonia
    Explanation
    The correct spelling is "Pneumonia". The other options, "Pneumania", "Pniumonia", and "Nemonia" are all incorrect spellings of the word.

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  • 25. 

    Iconoclast

    • Someone who never say lie.

    • Someone who attacks cherished ideas or traditional institutions.

    • Someone who never say truth.

    • Someone who is very pretty.

    Correct Answer
    A. Someone who attacks cherished ideas or traditional institutions.
    Explanation
    The correct answer is "someone who attacks cherished ideas or traditional institutions." An iconoclast is someone who challenges or criticizes established beliefs, customs, or institutions. They go against the norm and question traditional ideas or practices, often seeking to bring about change or reform. This term is commonly used to describe individuals who disrupt or challenge the status quo in order to provoke new ways of thinking or to dismantle existing systems.

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  • 26. 

     Dig the grave

    • To make space to rest

    • To destroy

    • To make space for planning

    • To build something

    Correct Answer
    A. To destroy
    Explanation
    "Dig the grave" is a phrase commonly associated with the act of burying someone who has passed away. The phrase implies the act of digging a hole in the ground to create a grave, which is a final resting place for the deceased. Therefore, the correct answer "to destroy" aligns with the idea that digging the grave involves destroying the ground by excavating it to create a burial site.

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  • 27. 

    Pune bus station has only one bus departing every 1.5 hours each day. The last bus is for Nagpur at 7.30 pm. Bus for Amravati is exactly at 12.00 hours and it is the third bus. The maximum time gap between two consecutive buses is between that for Nagpur and Aurangabad. Bus for Kolhapur is the fifth bus and is followed by bus for Solapur. Time gap between the buses for Kolhapur and Mumbai is the same as that between the buses for Nanded and Nashik.1. First bus of the day is for

    • Nanded

    • Aurangabad

    • Mumbai

    • Nashik

    Correct Answer
    A. Aurangabad
    Explanation
    The first bus of the day is for Aurangabad because it is stated that the last bus is for Nagpur at 7.30 pm, and the maximum time gap between two consecutive buses is between that for Nagpur and Aurangabad. Since the last bus is for Nagpur, and the time gap between the buses for Nagpur and Aurangabad is the largest, it can be concluded that the first bus of the day is for Aurangabad.

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  • 28. 

    Pune bus station has only one bus departing every 1.5 hours each day. The last bus is for Nagpur at 7.30 pm. Bus for Amravati is exactly at 12.00 hours and it is the third bus. The maximum time gap between two consecutive buses is between that for Nagpur and Aurangabad. Bus for Kolhapur is the fifth bus and is followed by bus for Solapur. Time gap between the buses for Kolhapur and Mumbai is the same as that between the buses for Nanded and Nashik.If the second last bus is for Mumbai, then the bus for Nanded is the ...... Bus 

    • If the second last bus is for Mumbai, then the bus for Nanded is the ...... Bus

    • Fourth

    • Second or Fourth

    • Cannot be determined

    Correct Answer
    A. Second or Fourth
    Explanation
    The bus for Nanded can be either the second or the fourth bus. This can be determined by analyzing the given information. The bus for Mumbai is the second last bus, and the time gap between the buses for Kolhapur and Mumbai is the same as that between the buses for Nanded and Nashik. Since the bus for Kolhapur is the fifth bus, it means that the bus for Nanded can either be the second or the fourth bus.

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  • 29. 

    Pune bus station has only one bus departing every 1.5 hours each day. The last bus is for Nagpur at 7.30 pm. Bus for Amravati is exactly at 12.00 hours and it is the third bus. The maximum time gap between two consecutive buses is between that for Nagpur and Aurangabad. Bus for Kolhapur is the fifth bus and is followed by bus for Solapur. Time gap between the buses for Kolhapur and Mumbai is the same as that between the buses for Nanded and Nashik.If the bus for Mumbai is at 10.30 am, then the bus for Nashik could be at

    • 9 a.m.

    • 1.30 p.m.

    • 4.30 p.m.

    • 3.00 p.m.

    Correct Answer
    A. 1.30 p.m.
    Explanation
    The bus for Mumbai is at 10.30 am and the time gap between the buses for Kolhapur and Mumbai is the same as that between the buses for Nanded and Nashik. Since the bus for Mumbai is at 10.30 am, the bus for Kolhapur must be before that. Therefore, the bus for Kolhapur must be before 10.30 am. The only option that satisfies this condition is 9 a.m. Therefore, the bus for Nashik could be at 1.30 p.m.

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  • 30. 

    Pune bus station has only one bus departing every 1.5 hours each day. The last bus is for Nagpur at 7.30 pm. Bus for Amravati is exactly at 12.00 hours and it is the third bus. The maximum time gap between two consecutive buses is between that for Nagpur and Aurangabad. Bus for Kolhapur is the fifth bus and is followed by bus for Solapur. Time gap between the buses for Kolhapur and Mumbai is the same as that between the buses for Nanded and Nashik.Which bus does not leave before the bus for Solapur if bus to Mumbai is at 10.30?

    • Aurangabad

    • Kolhapur

    • Nashik

    • Nagpur

    Correct Answer
    A. Nagpur
    Explanation
    The bus for Nagpur is the last bus departing from Pune bus station at 7.30 pm. Since the bus for Solapur is after the bus for Mumbai, which is at 10.30 am, it means that the bus for Nagpur does not leave before the bus for Solapur. Therefore, the correct answer is Nagpur.

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  • Current Version
  • Jun 09, 2023
    Quiz Edited by
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  • Feb 06, 2016
    Quiz Created by
    Sanghavi.nr

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