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The following Test is based on the syllabus of 60 Days Plan-2023 for UPSC IAS Prelims 2022.
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Which of the following is correct sequence (descending) in taxonomic hierarchy?
Solution (c)
Taxonomic hierarchy is the process of arranging various organisms into successive levels of the biological classification either in a decreasing or an increasing order from kingdom to species and vice versa.
In Ascending Order:
Solution (c)
Taxonomic hierarchy is the process of arranging various organisms into successive levels of the biological classification either in a decreasing or an increasing order from kingdom to species and vice versa.
In Ascending Order:
Which of the following is not a digestive enzyme in the human system?
Solution (a)
Trypsin, Pepsin and Ptyalin are digestive enzymes.
Solution (a)
Trypsin, Pepsin and Ptyalin are digestive enzymes.
Consider the following statements:
How many of the above statements are correct?
Solution (b)
Also called the thigh bone, Femur is the longest bone in the human body.
Cholera is a bacterial disease usually spread through contaminated water. Cholera causes severe diarrhea and dehydration.
Athlete’s foot (tinea pedis) is a fungal skin infection that usually begins between the toes. It commonly occurs in people whose feet have become very sweaty while confined within tight-fitting shoes.
Solution (b)
Also called the thigh bone, Femur is the longest bone in the human body.
Cholera is a bacterial disease usually spread through contaminated water. Cholera causes severe diarrhea and dehydration.
Athlete’s foot (tinea pedis) is a fungal skin infection that usually begins between the toes. It commonly occurs in people whose feet have become very sweaty while confined within tight-fitting shoes.
Mutation in a virus is caused due to a change in its?
Solution (b)
When a virus replicates or makes copies of itself, it sometimes changes a little bit, which is normal for a virus. These changes are called “mutations”. A virus with one or more new mutations is referred to as a “variant” of the original virus.
Viruses are continuously changing as a result of genetic selection. They undergo subtle genetic changes through mutation and major genetic changes through recombination. Mutation occurs when an error is incorporated in the viral genome. Recombination occurs when coinfecting viruses exchange genetic information, creating a novel virus.
Solution (b)
When a virus replicates or makes copies of itself, it sometimes changes a little bit, which is normal for a virus. These changes are called “mutations”. A virus with one or more new mutations is referred to as a “variant” of the original virus.
Viruses are continuously changing as a result of genetic selection. They undergo subtle genetic changes through mutation and major genetic changes through recombination. Mutation occurs when an error is incorporated in the viral genome. Recombination occurs when coinfecting viruses exchange genetic information, creating a novel virus.
Consider the following pairs and identify the correct one/s:
Disease Deficiency caused
Select the answer:
Solution (a)
Statement 1 | Statement 2 | Statement 3 |
Correct | Incorrect | Incorrect |
Vitamin B1 deficiency causes Beriberi which has symptoms like weak muscles and very little energy to work. Vitamin A deficiency, on the other hand, causes loss of vision with symptoms like poor vision, loss of vision in darkness (night) and sometimes complete loss of vision. | Vitamin C deficiency causes Scurvy which has symptoms like bleeding gums, wounds taking longer time to heal whereas Vitamin D deficiency causes Rickets, with symptoms like bones becoming soft and bent.
|
Calcium deficiency causes bone and tooth decay with symptoms like weak bones, tooth
Decay, etc. Iodine deficiency, on the other hand, causes goiter where symptoms like glands in the neck appear swollen, mental disability in children, etc. is seen. Iron deficiency causes anaemia, which has symptoms like weakness. |
Solution (a)
Statement 1 | Statement 2 | Statement 3 |
Correct | Incorrect | Incorrect |
Vitamin B1 deficiency causes Beriberi which has symptoms like weak muscles and very little energy to work. Vitamin A deficiency, on the other hand, causes loss of vision with symptoms like poor vision, loss of vision in darkness (night) and sometimes complete loss of vision. | Vitamin C deficiency causes Scurvy which has symptoms like bleeding gums, wounds taking longer time to heal whereas Vitamin D deficiency causes Rickets, with symptoms like bones becoming soft and bent.
|
Calcium deficiency causes bone and tooth decay with symptoms like weak bones, tooth
Decay, etc. Iodine deficiency, on the other hand, causes goiter where symptoms like glands in the neck appear swollen, mental disability in children, etc. is seen. Iron deficiency causes anaemia, which has symptoms like weakness. |
Excessive release of the pollutant carbon monoxide (CO) into the air may produce a condition in which oxygen supply in the human body decreases. What causes this condition?
Solution (b)
Carbon monoxide has 210 times greater affinity for haemoglobin than oxygen. CO binds to haemoglobin and affects by decreasing the oxygen level.
Solution (b)
Carbon monoxide has 210 times greater affinity for haemoglobin than oxygen. CO binds to haemoglobin and affects by decreasing the oxygen level.
Regular intake of fresh fruits and vegetables is recommended in the diet since they are a good source of antioxidants. How do antioxidants help a person maintain health and promote longevity?
Solution (c)
Antioxidants are found in certain foods and may prevent some of the damage caused by free radicals by neutralising them. These include the nutrient antioxidants, vitamins A, C and E, and the minerals copper, zinc and selenium.
Other dietary food compounds, such as the phytochemicals in plants, are believed to have greater antioxidant effects than vitamins or minerals. These are called the non-nutrient antioxidants and include phytochemicals, (such as lycopenes in tomatoes and anthocyanins found in cranberries).
Solution (c)
Antioxidants are found in certain foods and may prevent some of the damage caused by free radicals by neutralising them. These include the nutrient antioxidants, vitamins A, C and E, and the minerals copper, zinc and selenium.
Other dietary food compounds, such as the phytochemicals in plants, are believed to have greater antioxidant effects than vitamins or minerals. These are called the non-nutrient antioxidants and include phytochemicals, (such as lycopenes in tomatoes and anthocyanins found in cranberries).
Which one of the following statements regarding insulin hormone is correct?
Solution (a)
Insulin is a peptide hormone produced by beta cells of the pancreatic islets encoded in human.
Insulin is a hormone that is responsible for allowing glucose in the blood to enter cells, providing them with the energy to function. A lack of effective insulin plays a key role in the development of diabetes.
Solution (a)
Insulin is a peptide hormone produced by beta cells of the pancreatic islets encoded in human.
Insulin is a hormone that is responsible for allowing glucose in the blood to enter cells, providing them with the energy to function. A lack of effective insulin plays a key role in the development of diabetes.
Arrange the following in order of their evolution:
Select from the code:
Solution (a)
The first vertebrate to evolve is the bony fish which evolved from a jawless fish. The amphibians evolved next after fish.
The first amphibians have evolved from a lobe-finned fish ancestor about 365 million years ago.
The reptiles evolved from the amphibians. They lived completely on land. They laid amniotic eggs and had fertilization.
They were the first vertebrates that didn’t have to return to water for reproduction.
Reptiles developed certain added features such as feather, hollow bones, and warm body. These animals were called birds or Aves. Mammals and birds both evolved from reptiles like ancestors.
Solution (a)
The first vertebrate to evolve is the bony fish which evolved from a jawless fish. The amphibians evolved next after fish.
The first amphibians have evolved from a lobe-finned fish ancestor about 365 million years ago.
The reptiles evolved from the amphibians. They lived completely on land. They laid amniotic eggs and had fertilization.
They were the first vertebrates that didn’t have to return to water for reproduction.
Reptiles developed certain added features such as feather, hollow bones, and warm body. These animals were called birds or Aves. Mammals and birds both evolved from reptiles like ancestors.
Consider the following statements:
Which of the statements given above is/are correct?
Solution (c)
Statement 1 | Statement 2 |
Correct | Correct |
The lungs are situated in the thoracic chamber which is anatomically an air-tight chamber. The anatomical setup of lungs in thorax is such that any change in the volume of the thoracic cavity will be reflected in the lung cavity. | The thoracic chamber is formed dorsally by the vertebral column, ventrally by the sternum, laterally by the ribs and on the lower side by the dome-shaped diaphragm. |
Solution (c)
Statement 1 | Statement 2 |
Correct | Correct |
The lungs are situated in the thoracic chamber which is anatomically an air-tight chamber. The anatomical setup of lungs in thorax is such that any change in the volume of the thoracic cavity will be reflected in the lung cavity. | The thoracic chamber is formed dorsally by the vertebral column, ventrally by the sternum, laterally by the ribs and on the lower side by the dome-shaped diaphragm. |
The term ‘Graves’ disease’ is generally associated with:
Solution (a)
Statement 1 | Statement 2 | Statement 3 | Statement 4 |
Correct | Incorrect | Incorrect | Incorrect |
Graves’ disease is an immune system disorder that results in the overproduction of thyroid hormones (hyperthyroidism). Although a number of disorders may result in hyperthyroidism, Graves’ disease is a common cause. Thyroid hormones affect many body systems, so signs and symptoms of Graves’ disease can be wide ranging. | Locomotive syndrome is a condition of reduced mobility due to impairment of locomotive organs. Since upright bipedal walking involves minutely controlled movement patterns, impairment of any aspect of the locomotive organs has the potential to adversely affect it. | A speech disorder is a condition in which a person has problems creating or forming the speech sounds needed to communicate with others. This can make the child’s speech difficult to understand. Common speech disorders are: Articulation disorders. Phonological disorders. | They are a type of disease that affects the lungs and other parts of the respiratory system. Respiratory diseases may be caused by infection, by smoking tobacco, or by breathing in second-hand tobacco smoke, etc. Respiratory diseases include asthma, chronic obstructive pulmonary disease (COPD), pulmonary fibrosis, pneumonia, and lung cancer. Also called lung disorder and pulmonary disease. |
Solution (a)
Statement 1 | Statement 2 | Statement 3 | Statement 4 |
Correct | Incorrect | Incorrect | Incorrect |
Graves’ disease is an immune system disorder that results in the overproduction of thyroid hormones (hyperthyroidism). Although a number of disorders may result in hyperthyroidism, Graves’ disease is a common cause. Thyroid hormones affect many body systems, so signs and symptoms of Graves’ disease can be wide ranging. | Locomotive syndrome is a condition of reduced mobility due to impairment of locomotive organs. Since upright bipedal walking involves minutely controlled movement patterns, impairment of any aspect of the locomotive organs has the potential to adversely affect it. | A speech disorder is a condition in which a person has problems creating or forming the speech sounds needed to communicate with others. This can make the child’s speech difficult to understand. Common speech disorders are: Articulation disorders. Phonological disorders. | They are a type of disease that affects the lungs and other parts of the respiratory system. Respiratory diseases may be caused by infection, by smoking tobacco, or by breathing in second-hand tobacco smoke, etc. Respiratory diseases include asthma, chronic obstructive pulmonary disease (COPD), pulmonary fibrosis, pneumonia, and lung cancer. Also called lung disorder and pulmonary disease. |
Consider the following statements about Human Eye:
How many of the above statements are correct?
Solution (b)
Solution (b)
With reference to dietary deficiencies, consider the following statements:
How many of the above statements are correct?
Solution (c)
Statement 1 | Statement 2 | Statement 3 |
Correct | Correct | Correct |
Marasmus is produced by a simultaneous deficiency of proteins and calories. It is found in infants less than a year in age, if mother’s milk is replaced too early by other foods which are poor in both proteins and caloric value. | Kwashiorkar is produced by protein deficiency unaccompanied by calorie deficiency. It results from the replacement of mother’s milk by a high calorie, low protein diet in a child more than one year in age. | Like marasmus, kwashiorkor shows wasting of muscles, thinning of limbs, failure of growth and brain development. But unlike marasmus, some fat is still left under the skin; moreover, extensive oedema and swelling of body parts are seen. |
Solution (c)
Statement 1 | Statement 2 | Statement 3 |
Correct | Correct | Correct |
Marasmus is produced by a simultaneous deficiency of proteins and calories. It is found in infants less than a year in age, if mother’s milk is replaced too early by other foods which are poor in both proteins and caloric value. | Kwashiorkar is produced by protein deficiency unaccompanied by calorie deficiency. It results from the replacement of mother’s milk by a high calorie, low protein diet in a child more than one year in age. | Like marasmus, kwashiorkor shows wasting of muscles, thinning of limbs, failure of growth and brain development. But unlike marasmus, some fat is still left under the skin; moreover, extensive oedema and swelling of body parts are seen. |
With reference to ‘Yeast’, consider the following statements:
Which of the statements given above are correct?
Solution (c)
Statement 1 | Statement 2 |
Correct | Correct |
Yeast reproduces rapidly and produces carbon dioxide during respiration. Bubbles of the gas fill the dough and increase its volume. This is the basis of the use of yeast in the baking industry for making breads, pastries and cakes. | Microorganisms are used for the large-scale production of alcohol, wine and acetic acid (vinegar). Yeast is used for commercial production of alcohol and wine. For this purpose, yeast is grown on natural sugars present in grains like barley, wheat, rice, crushed fruit juices, etc. |
Solution (c)
Statement 1 | Statement 2 |
Correct | Correct |
Yeast reproduces rapidly and produces carbon dioxide during respiration. Bubbles of the gas fill the dough and increase its volume. This is the basis of the use of yeast in the baking industry for making breads, pastries and cakes. | Microorganisms are used for the large-scale production of alcohol, wine and acetic acid (vinegar). Yeast is used for commercial production of alcohol and wine. For this purpose, yeast is grown on natural sugars present in grains like barley, wheat, rice, crushed fruit juices, etc. |
Consider the following statements:
How many of the above statements are correct?
Solution (c)
Microorganisms are divided into seven types: bacteria, archaea, protozoa, algae, fungi, viruses, and multicellular animal parasites (helminths).
Each type has a characteristic cellular composition, morphology, mean of locomotion, and reproduction.
Microorganisms are beneficial in producing oxygen, decomposing organic material, providing nutrients for plants, and maintaining human health, but some can be pathogenic and cause diseases in plants and humans.
Most decomposers are microscopic organisms, including protozoa and bacteria.
Microorganisms are used to produce many commercial and industrial chemicals, enzymes and other bioactive molecules.
Solution (c)
Microorganisms are divided into seven types: bacteria, archaea, protozoa, algae, fungi, viruses, and multicellular animal parasites (helminths).
Each type has a characteristic cellular composition, morphology, mean of locomotion, and reproduction.
Microorganisms are beneficial in producing oxygen, decomposing organic material, providing nutrients for plants, and maintaining human health, but some can be pathogenic and cause diseases in plants and humans.
Most decomposers are microscopic organisms, including protozoa and bacteria.
Microorganisms are used to produce many commercial and industrial chemicals, enzymes and other bioactive molecules.
Consider the following statements:
How many of the above statements are correct?
Solution (c)
Statement 1 | Statement 2 | Statement 3 |
Correct | Correct | Correct |
Microorganisms are harmful in many ways. Some of the microorganisms cause diseases in human beings, plants and animals. Such disease-causing microorganisms are called pathogens. Some microorganisms spoil food, clothing and leather. | Several microorganisms not only cause diseases in humans and plants, but also in other animals. For example, anthrax is a dangerous human and cattle disease caused by a bacterium. Foot and mouth disease of cattle is caused by a virus. | Several microorganisms cause diseases in plants like wheat, rice, potato, sugarcane, orange, apple and others. The diseases reduce the yield of crops. Citrus canker, Rust of wheat and yellow vein mosaic of bhindi (Okra). |
Solution (c)
Statement 1 | Statement 2 | Statement 3 |
Correct | Correct | Correct |
Microorganisms are harmful in many ways. Some of the microorganisms cause diseases in human beings, plants and animals. Such disease-causing microorganisms are called pathogens. Some microorganisms spoil food, clothing and leather. | Several microorganisms not only cause diseases in humans and plants, but also in other animals. For example, anthrax is a dangerous human and cattle disease caused by a bacterium. Foot and mouth disease of cattle is caused by a virus. | Several microorganisms cause diseases in plants like wheat, rice, potato, sugarcane, orange, apple and others. The diseases reduce the yield of crops. Citrus canker, Rust of wheat and yellow vein mosaic of bhindi (Okra). |
From the following pairs of disease and microorganism causing it, identify the correct pair/s:
Human Disease Microorganism
Select the answer:
Solution (c)
Statement 1 | Statement 2 | Statement 3 |
Incorrect | Correct | Correct |
Measles is an infection caused by a virus. Once quite common, measles can now almost always be prevented with a vaccine. Also called rubeola, measles spreads easily and can be serious and even fatal for small children. While death rates have been falling worldwide as more children receive the measles vaccine, the disease still kills more than 200,000 people a year, mostly children. | Hepatitis A is a vaccine-preventable liver infection caused by the hepatitis A virus (HAV). HAV is found in the stool and blood of people who are infected. Hepatitis A is very contagious. It is spread when someone unknowingly ingests the virus even in microscopic amounts through close personal contact with an infected person or through eating contaminated food or drink. | Malaria is a protozoan infection of the red blood cells, transmitted by the bite of a female anopheles’ mosquito. Malaria is caused by the protozoa of the genus Plasmodium. There are four species that infect humans: P. vivax, P. ovale, P. malariae, and P. falciparum. |
Solution (c)
Statement 1 | Statement 2 | Statement 3 |
Incorrect | Correct | Correct |
Measles is an infection caused by a virus. Once quite common, measles can now almost always be prevented with a vaccine. Also called rubeola, measles spreads easily and can be serious and even fatal for small children. While death rates have been falling worldwide as more children receive the measles vaccine, the disease still kills more than 200,000 people a year, mostly children. | Hepatitis A is a vaccine-preventable liver infection caused by the hepatitis A virus (HAV). HAV is found in the stool and blood of people who are infected. Hepatitis A is very contagious. It is spread when someone unknowingly ingests the virus even in microscopic amounts through close personal contact with an infected person or through eating contaminated food or drink. | Malaria is a protozoan infection of the red blood cells, transmitted by the bite of a female anopheles’ mosquito. Malaria is caused by the protozoa of the genus Plasmodium. There are four species that infect humans: P. vivax, P. ovale, P. malariae, and P. falciparum. |
With reference to the ‘Cells’, which of the following statement/s is/are correct?
Choose the correct code:
Solution (c)
Statement 1 | Statement 2 |
Correct | Correct |
Inside each cell is a dense membrane bound structure called nucleus. This nucleus contains the chromosomes which in turn contain the genetic material, DNA. Cells that have membrane bound nuclei are called eukaryotic whereas cells that lack a membrane bound nucleus are prokaryotic. | In both prokaryotic and eukaryotic cells, a semi-fluid matrix called cytoplasm occupies the volume of the cell. The cytoplasm is the main arena of cellular activities in both the plant and animal cells. Various chemical reactions occur in it to keep the cell in the ‘living state’. |
Solution (c)
Statement 1 | Statement 2 |
Correct | Correct |
Inside each cell is a dense membrane bound structure called nucleus. This nucleus contains the chromosomes which in turn contain the genetic material, DNA. Cells that have membrane bound nuclei are called eukaryotic whereas cells that lack a membrane bound nucleus are prokaryotic. | In both prokaryotic and eukaryotic cells, a semi-fluid matrix called cytoplasm occupies the volume of the cell. The cytoplasm is the main arena of cellular activities in both the plant and animal cells. Various chemical reactions occur in it to keep the cell in the ‘living state’. |
In the human body, Cowper’s glands form a part of which one of the following?
Solution (b)
The bulbourethral glands or Cowper’s glands are two small exocrine glands in the reproductive system of many male mammals.
Solution (b)
The bulbourethral glands or Cowper’s glands are two small exocrine glands in the reproductive system of many male mammals.
Consider the following statements with reference to Parenchyma:
How many of the above statements are correct?
Solution (b)
Statement 1 | Statement 2 | Statement 3 |
Correct | Correct | Incorrect |
A few layers of cells beneath the epidermis are generally simple permanent tissue. Parenchyma is the most common simple permanent tissue. It consists of relatively unspecialised cells with thin cell walls. | They are living cells. They are usually loosely arranged, thus large spaces between cells (intercellular spaces) are found in this tissue. This tissue generally stores food. | The flexibility in plants is due to another permanent tissue, collenchyma. It allows bending of various parts of a plant like tendrils and stems of climbers without breaking. It also provides mechanical support. We can find this tissue in leaf stalks below the epidermis. |
Solution (b)
Statement 1 | Statement 2 | Statement 3 |
Correct | Correct | Incorrect |
A few layers of cells beneath the epidermis are generally simple permanent tissue. Parenchyma is the most common simple permanent tissue. It consists of relatively unspecialised cells with thin cell walls. | They are living cells. They are usually loosely arranged, thus large spaces between cells (intercellular spaces) are found in this tissue. This tissue generally stores food. | The flexibility in plants is due to another permanent tissue, collenchyma. It allows bending of various parts of a plant like tendrils and stems of climbers without breaking. It also provides mechanical support. We can find this tissue in leaf stalks below the epidermis. |
Which of the following tribes are recognized as Particularly Vulnerable Tribal Groups in the state of Andhra Pradesh?
Choose the correct code:
Solution (a)
Particularly Vulnerable Tribal Groups in the state of Andhra Pradesh:
Hence option a is correct.
Solution (a)
Particularly Vulnerable Tribal Groups in the state of Andhra Pradesh:
Hence option a is correct.
Consider the following statements regarding the Financial Action Task Force (FATF):
How many of the above statements are correct?
Solution (c)
Note: Countries that are considered a safe haven for supporting terror funding and money laundering are put on the FATF grey list. This inclusion serves as a warning to the country that it may enter the blacklist.
Solution (c)
Note: Countries that are considered a safe haven for supporting terror funding and money laundering are put on the FATF grey list. This inclusion serves as a warning to the country that it may enter the blacklist.
Which of the following constitutes a trademark violation?
How many of the above statements are correct?
Solution (b)
Note: Passing off action refers to the unauthorized use of goods, services, and the goodwill attached to another person’s business, which would amount to misrepresentation. The notion of Passing off in the Indian Trademarks Act, of 1999, seeks to safeguard the goodwill associated with unregistered trademarks.
Solution (b)
Note: Passing off action refers to the unauthorized use of goods, services, and the goodwill attached to another person’s business, which would amount to misrepresentation. The notion of Passing off in the Indian Trademarks Act, of 1999, seeks to safeguard the goodwill associated with unregistered trademarks.
Consider the following statements regarding Pandavula Gutta:
How many of the above statements are correct?
Solution (c)
Solution (c)
Consider the following statements:
How many of the above statements are correct?
Solution (c)
Solution (c)
Consider the following statements:
Choose the correct code:
Solution (c)
Solution (c)
Consider the following statements:
How many of the above statements are correct?
Solution (d)
Solution (d)
Consider the following statements:
How many of the above statements are correct?
Solution (a)
Note: Damaged peatlands are a major source of greenhouse gas emissions, responsible for almost 5% of global anthropogenic CO2 emissions.
Solution (a)
Note: Damaged peatlands are a major source of greenhouse gas emissions, responsible for almost 5% of global anthropogenic CO2 emissions.
Which of the following statement is not correct regarding the Developing Countries Trading Scheme (DCTS)?
Solution (c)
Solution (c)
Consider the following statements regarding the FASTag:
Choose the correct code:
Solution (b)
Solution (b)
Some birds settled on the branches of a tree. First, they sat one to a branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?
Solution (a)
When the birds sat one on a branch, there was one extra bird.
When they sat Two to a branch one branch was extra.
Now, we go through the options;
Checking option (A);
If there were 3 branches, there would be 4 birds.
(This would leave one bird without branch as per the question.)
When 4 birds would sit Two to a branch there would be one branch free
(as per the question.).
Hence, the option (A) is correct.
Solution (a)
When the birds sat one on a branch, there was one extra bird.
When they sat Two to a branch one branch was extra.
Now, we go through the options;
Checking option (A);
If there were 3 branches, there would be 4 birds.
(This would leave one bird without branch as per the question.)
When 4 birds would sit Two to a branch there would be one branch free
(as per the question.).
Hence, the option (A) is correct.
The difference between one fifth of a number and one third of the same number is 8. What is the half of that number?
Solution (c)
Given: Difference between ⅕ of a number and ⅓ of the same number is 8.
Find: ½ of the number Plan: setup an equation and solve Let the number be “n”.
(1/3)n – (1/5)n = 8
Solve for “n” Multiply both sides of the equation by the LCD 15.
15(1/3)n – 15(1/5)n = 15(8)
5n – 3n = 120
Combine like term 2n = 120 => n = 60
✅ Double Check:
1/3(60) – 1/5(60) = 20 – 12 = 8
Reasonable/Recalculated ✅ Now 1/2(60) = 30 ✅ Answer: Number = 30 Hence, option (c) is correct.
Solution (c)
Given: Difference between ⅕ of a number and ⅓ of the same number is 8.
Find: ½ of the number Plan: setup an equation and solve Let the number be “n”.
(1/3)n – (1/5)n = 8
Solve for “n” Multiply both sides of the equation by the LCD 15.
15(1/3)n – 15(1/5)n = 15(8)
5n – 3n = 120
Combine like term 2n = 120 => n = 60
✅ Double Check:
1/3(60) – 1/5(60) = 20 – 12 = 8
Reasonable/Recalculated ✅ Now 1/2(60) = 30 ✅ Answer: Number = 30 Hence, option (c) is correct.
31% of employees pay tax in the year 2008. Non-tax paying employees are 20700. The total number of employees is:
Solution (c)
Percentage of Non-tax paying employees
= (100 – 31)%
= 69%
69% of total employees = 20700
Total employees = (20700)/69 * 100
= 30000
Solution (c)
Percentage of Non-tax paying employees
= (100 – 31)%
= 69%
69% of total employees = 20700
Total employees = (20700)/69 * 100
= 30000
What is the probability that a number selected from numbers 1, 2, 3, ……., 30, is prime number, when each of the given numbers is equally likely to be selected?
Solution (c)
X = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
n(X) = 10, n(S) = 30
Hence required probability,
= n(X)/n(S)
= 10/30
Solution (c)
X = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}
n(X) = 10, n(S) = 30
Hence required probability,
= n(X)/n(S)
= 10/30
Two Statements S1 and S2 are given below followed by a Question:
S1 : Bill is richer than Elon as well as Jeff.
S2 : Warren is not the richest one.
Among four friends Elon, Jeff, Bill and Warren, which one is the richest?
Which one of the following is correct in respect of the above Statements and the Question?
Solution (c)
S1 : Bill is richer than Elon as well as Jeff, i.e. Bill > Elon / Jeff
S2 : Warren is not the richest one.
Either of the two statements alone is not sufficient to answer the question.
Taking both statements together, we can conclude that:
Bill > Elon / Jeff / Warren
Thus, Bill is the richest one among the four friends.
Hence, we can say that S1 and S2 together are sufficient to answer the question.
Hence, option (c) is the answer.
Solution (c)
S1 : Bill is richer than Elon as well as Jeff, i.e. Bill > Elon / Jeff
S2 : Warren is not the richest one.
Either of the two statements alone is not sufficient to answer the question.
Taking both statements together, we can conclude that:
Bill > Elon / Jeff / Warren
Thus, Bill is the richest one among the four friends.
Hence, we can say that S1 and S2 together are sufficient to answer the question.
Hence, option (c) is the answer.
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IASbaba