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A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.
45
B.
60
C.
75
D.
90
Correct Answer D. 90
Explanation 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.
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2.
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
A.
20
B.
80
C.
100
D.
200
Correct Answer C. 100
Explanation Let's assume the number of students in room A is x and the number of students in room B is y. According to the given information, if 10 students are sent from A to B, then the number of students in each room is the same. This can be represented as x - 10 = y + 10.
Furthermore, if 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. This can be represented as x + 20 = 2(y - 20).
By solving these two equations simultaneously, we can find that x = 100. Therefore, the number of students in room A is 100.
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3.
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
A.
Rs. 3500
B.
Rs. 3750
C.
Rs. 3840
D.
Rs. 3900
Correct Answer D. Rs. 3900
Explanation Let the price of one chair be x and the price of one table be y. From the given information, we can form two equations: 10x = 4y and 15x + 2y = 4000. Solving these equations, we find that x = 400 and y = 1000. Now, we can calculate the total price of 12 chairs and 3 tables: 12x + 3y = 12(400) + 3(1000) = 4800 + 3000 = 7800. Therefore, the correct answer is Rs. 3900.
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4.
If a - b = 3 and a^{2} + b^{2} = 29, find the value of ab.
A.
10
B.
12
C.
15
D.
18
Correct Answer A. 10
5.
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
A.
Rs. 1200
B.
Rs. 2400
C.
Rs. 4800
D.
Cannot be determined
Correct Answer B. Rs. 2400
Explanation Let's assume the price of one saree is S and the price of one shirt is R. From the given information, we can form two equations: 2S + 4R = 1600 and S + 6R = 1600. Solving these equations, we find that S = 800 and R = 200. Now, if we want to buy 12 shirts, we can calculate the total cost by multiplying the price of one shirt by 12, which is 200 * 12 = Rs. 2400. Therefore, the answer is Rs. 2400.
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6.
A sum of Rs. 1360 has been divided among A, B and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. B's share is:
A.
Rs. 120
B.
Rs. 160
C.
Rs. 240
D.
Rs. 300
Correct Answer C. Rs. 240
7.
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
A.
Rs. 30,000
B.
Rs. 50,000
C.
Rs. 60,000
D.
Rs. 90,000
Correct Answer C. Rs. 60,000
Explanation Rahul's savings in National Savings Certificate is equal to 1/3 of his total savings, and his savings in Public Provident Fund is equal to 1/2 of his total savings. Since the question states that one-third of his savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund, it implies that the ratio of his savings in National Savings Certificate to his savings in Public Provident Fund is 1:2. Therefore, if his total savings is Rs. 1,50,000, he must have saved Rs. 60,000 in Public Provident Fund.
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8.
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
A.
30 birds
B.
60 birds
C.
72 birds
D.
90 birds
Correct Answer A. 30 birds
Explanation In the given scenario, A kills once in every 3 shots, while B kills once in every 2 shots. Therefore, for every 6 shots fired by A (3 shots to kill once), B would have fired 4 shots (2 shots to kill once). Since B has missed 27 times, it means B has fired a total of 108 shots (27 misses * 4 shots per kill). Thus, A would have fired 180 shots (108 shots * 5 shots fired by A / 4 shots fired by B). Since A kills once in every 3 shots, it means A has killed 60 birds (180 shots / 3 shots per kill). Therefore, the correct answer is 60 birds.
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9.
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A.
1/7
B.
1/8
C.
1/9
D.
7/8
Correct Answer A. 1/7
Explanation If there are eight people sharing the cost equally, each person's share would be 1/8. If one person withdraws, the remaining seven people would have to share the entire cost. This means that each person's share would increase to 1/7, which is a greater fraction than 1/8. Therefore, the share of each remaining person increased by 1/7.
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10.
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
A.
10
B.
35
C.
62.5
D.
Cannot be determined
Correct Answer C. 62.5
Explanation If 25 buckets of water are required to fill the tank when the bucket capacity is at its present size, and the capacity of the bucket is reduced to two-fifths of its present size, then it means that the new bucket can only hold 2/5 of the water that the present bucket can hold. Therefore, to fill the same tank, more buckets will be required as the capacity of each bucket has decreased. The correct answer is 62.5 buckets, as it represents the increased number of buckets needed to fill the tank.
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11.
Grand Central Terminal, Park Avenue, New York is the world's
A.
Largest railway station
B.
Highest railway station
C.
Longest railway station
D.
None of the above
Correct Answer A. Largest railway station
Explanation 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.
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12.
Entomology is the science that studies
A.
Behavior of human beings
B.
Insects
C.
The origin and history of technical and scientific terms
D.
The formation of rocks
Correct Answer B. Insects
Explanation 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.
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13.
Eritrea, which became the 182nd member of the UN in 1993, is in the continent of
A.
Asia
B.
Africa
C.
Europe
D.
Australia
Correct Answer B. Africa
Explanation Eritrea, having become the 182nd member of the UN in 1993, is located in the continent of Africa.
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14.
Garampani sanctuary is located at
A.
Junagarh, Gujarat
B.
Diphu, Assam
C.
Kohima, Nagaland
D.
Gangtok, Sikkim
Correct Answer B. Diphu, Assam
Explanation 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.
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15.
For which of the following disciplines is Nobel Prize awarded?
A.
Physics and Chemistry
B.
Physiology or Medicine
C.
Literature, Peace and Economics
D.
All of the above
Correct Answer D. All of the above
Explanation 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."
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16.
Hitler party which came into power in 1933 is known as
A.
Labour Party
B.
Nazi Party
C.
Ku-Klux-Klan
D.
Democratic Party
Correct Answer B. Nazi Party
Explanation 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.
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17.
In which year of First World War Germany declared war on Russia and France?
A.
1914
B.
1915
C.
1916
D.
1917
Correct Answer A. 1914
Explanation 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.
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18.
CAO stands for
A.
International Civil Aviation Organization
B.
Indian Corporation of Agriculture Organization
C.
Institute of Company of Accounts Organization
D.
None of the above
Correct Answer A. International Civil Aviation Organization
Explanation 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.
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19.
India's first Technicolor film ____ in the early 1950s was produced by ____
A.
'Jhansi Ki Rani', Sohrab Modi
B.
'Jhansi Ki Rani', Sir Syed Ahmed
C.
'Mirza Ghalib', Sohrab Modi
D.
'Mirza Ghalib', Munshi Premchand
Correct Answer A. 'Jhansi Ki Rani', Sohrab Modi
Explanation 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.
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20.
India has largest deposits of ____ in the world.
A.
Gold
B.
Copper
C.
Mica
D.
None of the above
Correct Answer C. Mica
Explanation 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.
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21.
How many Lok Sabha seats belong to Rajasthan?
A.
32
B.
25
C.
30
D.
17
Correct Answer B. 25
Explanation Rajasthan has a total of 25 Lok Sabha seats.
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22.
Which countries from the membership of CACM (Central American Common Market)?
A.
Costa Rica, EI Salvador, Guatemala, Honduras, Nicaragua
B.
Bogota, EI Salvedor, Honduras
C.
Washington DC, Bogota, Guatemala
D.
All of the above
Correct Answer A. Costa Rica, EI Salvador, Guatemala, Honduras, Nicaragua
Explanation The correct answer is "Costa Rica, EI Salvador, Guatemala, Honduras, Nicaragua." These countries are all members of the Central American Common Market (CACM).
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23.
Which company manufacturers low and high power communication equipment like radius for the use of defence services and paramilitary organisations?
A.
Bharat Electronics Limited (BEL)
B.
God Shipyard Limited (GSL)
C.
Bharat Dynamic Limited (BDL)
D.
None of the above
Correct Answer A. Bharat Electronics Limited (BEL)
Explanation 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.
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24.
Where is the Judicature of Orissa?
A.
Bhubaneswar
B.
Cuttack
C.
Both
D.
None of the above
Correct Answer B. Cuttack
Explanation 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.
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25.
Which of the following are the members of SAARC (South Asian Association for Regional Cooperation)?
A.
Bhutan, Bangladesh, India and Pakistan
B.
Bhutan, Bangladesh, the Maldives, Nepal, India, Pakistan, Afghanistan and Sri Lanka
C.
Afghanistan, Pakistan, Thailand, Indonesia, Nepal and Sri Lanka
D.
None of the above
Correct Answer B. Bhutan, Bangladesh, the Maldives, Nepal, India, Pakistan, Afghanistan and Sri Lanka
Explanation 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.
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26.
Where is the permanent secretariat of the SAARC?
A.
Kathmandu
B.
New Delhi
C.
Islamabad
D.
Colombo
Correct Answer A. Kathmandu
Explanation 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.
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27.
UN General Assembly elects a President and how many Vice Presidents at the start of its each regular session?
A.
Seven
B.
Fifteen
C.
Twenty one
D.
Two
Correct Answer C. Twenty one
Explanation 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.
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28.
The treaty which ushered in NATO, was signed by the member nations at
A.
Geneva
B.
London
C.
Paris
D.
Washington
Correct Answer D. Washington
Explanation 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.
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29.
The unit of current is
A.
Ohm
B.
Watt
C.
Ampere
D.
None of the above
Correct Answer C. Ampere
Explanation 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.
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30.
Thomas Cup is associated with
A.
Badminton
B.
Billiards
C.
Lawn tennis
D.
Table tennis
Correct Answer A. Badminton
Explanation 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.
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31.
Theory of Idealism was expounded by George Hegal, Bishop George and Berkeley According to this
A.
Mathli is an illusion and that the only reality that which exists mentally
B.
Good was pleasure and that evil was pain
C.
Base of knowledge is sense-experience, that is, observations governed by scientific principles
D.
All knowledge is derived from sensory experience, by observing and experimenting
Correct Answer A. Mathli is an illusion and that the only reality that which exists mentally
Explanation 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.
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32.
To which country does the present UN Secretary-General belongs?
A.
Ghana
B.
South Korea
C.
Spain
D.
Sweden
Correct Answer B. South Korea
Explanation The present UN Secretary-General is from South Korea. This can be inferred from the given answer.
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33.
The transport fleet of Air Force consists of
A.
IL-765
B.
Boeing-731
C.
AN-352
D.
All of the above
Correct Answer D. All of the above
Explanation 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.
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34.
The term butterfly is associated with
A.
Kabaddi
B.
Swimming
C.
Boxing
D.
Wrestling
Correct Answer B. Swimming
Explanation 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.
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35.
The term which denotes that each side has made equal point at game point, in Tennis, is referred to as
A.
Baseline
B.
Deuce
C.
Fault
D.
Grand slam
Correct Answer B. Deuce
Explanation 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.
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36.
1. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
A.
0%
B.
5%
C.
7.5%
D.
10%
Correct Answer A. 0%
Explanation 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%.
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37.
A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
A.
0%
B.
5%
C.
7.5%
D.
10%
Correct Answer A. 0%
Explanation 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.
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38.
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
A.
12%
B.
131%
13%
C.
15%
D.
14%
Correct Answer C. 15%
Explanation 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%.
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39.
A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how muchcash should he pay?
A.
Rs. 9025.20
B.
Rs. 9600
C.
Rs. 9200
D.
Rs. 9560
Correct Answer C. Rs. 9200
Explanation 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.
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40.
Answer: Option BA man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18%per annum. Which is the better offer?
A.
Rs. 12,000 in cash
B.
S. 12,880 at credit
C.
Both are equally good
D.
None
Correct Answer A. Rs. 12,000 in cash
Explanation 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.
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41.
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
A.
Rs. 20
B.
Rs. 21.81
C.
Rs. 22
D.
Rs. 18.33
Correct Answer A. Rs. 20
Explanation 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.
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42.
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
A.
Rs. 1386
B.
Rs. 1764
C.
Rs. 1575
D.
Rs. 2268
Correct Answer B. Rs. 1764
Explanation 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.
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43.
.A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:
A.
Gains Rs. 55
B.
Gains Rs. 50
C.
Loses Rs. 30
D.
Gains Rs. 30
Correct Answer A. Gains Rs. 55
Explanation 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.
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44.
The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
A.
6 months
B.
8 months
C.
9 months
D.
10 months
Correct Answer D. 10 months
Explanation 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.
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45.
The present worth of Rs. 2310 due 2 years hence, the rate of interest being 15% per annum, is:
A.
Rs. 1750
B.
Rs. 1680
C.
Rs. 1840
D.
Rs. 1443.75
Correct Answer A. Rs. 1750
Explanation 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.
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46.
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
A.
17 kg
B.
20 kg
C.
26 kg
D.
31 kg
Correct Answer D. 31 kg
Explanation 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.
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47.
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A.
47.55 kg
B.
48 kg
C.
48.55 kg
D.
49.25 kg
Correct Answer C. 48.55 kg
Explanation 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.
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48.
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A.
270
B.
280
C.
285
D.
200
Correct Answer C. 285
Explanation 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.
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49.
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
A.
54.68
B.
52.48
C.
55.65
D.
60.25
Correct Answer A. 54.68
Explanation 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.
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50.
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
A.
35
B.
40
C.
42
D.
44
Correct Answer A. 35
Explanation 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.
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