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All questions of Week 22 for CLAT Exam

If scores of 10 students in a class are arranged in the table (shown below), then what is the Range of their scores?
 
  • a)
    16
  • b)
    18
  • c)
    20
  • d)
    22
  • e)
    24
Correct answer is option 'D'. Can you explain this answer?

Anaya Patel answered
The difference between the highest and lowest observations in a given data is called its Range.
Score of 10 students in ascending  order = 74, 76, 78, 85, 85, 86, 92, 94, 96, 96
Then the difference between the highest and lowest value will be 96 - 74
Range = 22
 
 
 

His father ordered him to go to his room and study.
  • a)
    His father said, "Go to your room and study."
  • b)
    His father said to him, "Go and study in your room."
  • c)
    His father shouted, "Go right now to your study room"
  • d)
    His father said firmly, "Go and study in your room."
Correct answer is option 'A'. Can you explain this answer?

Arya Roy answered
When converting statements from reported speech to direct speech, "was, were" becomes "am, is, are"/ "him, her" becomes "you"/"had" becomes "has, have"/words like "ordered, sternly spoke, shouted" becomes exclamation mark.

If scores of 10 students in a class are arranged in the table (shown below), then what is the Median of their scores?
  • a)
    84
  • b)
    84.5
  • c)
    85
  • d)
    85.5
  • e)
    86
Correct answer is option 'D'. Can you explain this answer?

Score of 10 students in ascending  order = 74, 76, 78, 85, 85, 86, 92, 94, 96, 96
Since number of observations is even, the median is given by finding the average or mean of the two middle most observations.
So, median = (85 + 86)/2
Median = 85.5

She said that her brother was getting married.
  • a)
    She said, "Her brother is getting married."
  • b)
    She told, "Her brother is getting married."
  • c)
    She said, "My brother is getting married."
  • d)
    She said, "My brother was getting married."
Correct answer is option 'C'. Can you explain this answer?

Meera Rana answered
 In reported speech, "you" becomes "him, her"/ "is, am, are" becomes "was, were"/ "have, has" becomes "had" and exclamation marks become "ordered or shouted". "Please" becomes "pleaded, requested".
She said, "My brother is getting married."

Which of the following is the oldest public sector bank in India?
  • a)
    Indian Bank
  • b)
    Canara Bank
  • c)
    Bank of Baroda
  • d)
    Central Bank Of India
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?

Canara Bank is the oldest public sector bank in India. It was established in 1906 in Mangalore, Karnataka.

Historical Background:
Canara Bank has a rich history that dates back over a century. It was founded by Ammembal Subba Rao Pai, a philanthropist, and visionary. Initially, the bank was known as Canara Hindu Permanent Fund, and it started its operations as a limited company.

Conversion to a Public Sector Bank:
In 1969, the Government of India nationalized Canara Bank along with 13 other major commercial banks in the country. This move aimed to bring about social welfare and economic development by ensuring the availability of banking services to all sections of society.

Significance:
Being the oldest public sector bank in India, Canara Bank has played a crucial role in the growth and development of the banking sector in the country. Over the years, it has expanded its network and services to cater to the diverse financial needs of individuals, businesses, and institutions.

Key Features and Achievements:
1. Wide Network: Canara Bank has a vast network of branches and ATMs across the country, making its services easily accessible to customers in both urban and rural areas.

2. Product Range: The bank offers a wide range of financial products and services, including savings accounts, current accounts, fixed deposits, loans, credit cards, and insurance.

3. International Presence: Canara Bank has also established its presence globally with branches in several countries, including the United Kingdom, Russia, Hong Kong, Bahrain, South Africa, and the United Arab Emirates.

4. Digital Initiatives: The bank has embraced digitalization to enhance customer experience and convenience. It offers various digital banking services such as internet banking, mobile banking, and digital wallets.

5. Awards and Recognitions: Canara Bank has received several awards and recognitions for its performance and contribution to the banking industry. It has been recognized for its excellence in areas like corporate governance, customer service, and financial inclusion.

Conclusion:
Canara Bank holds the distinction of being the oldest public sector bank in India. With its long-standing history, wide network, and diverse range of services, it continues to be a trusted and reliable financial institution for millions of customers.

From January to October, the revenue of a textile manufacturing plant averaged 20,000 USD per month. What average monthly revenue in USD was required in November and December, if the plant had a goal to achieve 330,000 USD in revenue by the end of the calendar year? 
  • a)
    65000
  • b)
    75000
  • c)
    80000
  • d)
    100000
  • e)
    110000
Correct answer is option 'A'. Can you explain this answer?

Sravya Joshi answered
Step 1: Question statement and Inferences
We are given that the average revenue for a textile manufacturing plant was 20,000 USD per month from January till October. The plant wanted to achieve a total revenue of 330,000 USD by the end of the year.
We have to find the average revenue that the plant must achieve in November and December to meet its total targeted revenue.
Let’s say the monthly revenues for the plant are M1, M2, M3 ….. M12.
 
Now, we don’t know the individual values of the monthly revenues. But we do know that the average monthly revenue for the first ten months is USD 20,000. Thus,
Hence,
M1 + M2 + M3 …. + M10 = 200,000   ………… (1)
The targeted revenue for the year is USD 330,000. Thus,
M1 + M2 + M3 …. + M11 + M12 = 330,000 ………… (2)
Step 2: Finding required values
The question wants us to find the average monthly revenue for November and December. Let’s say the average monthly revenue for these two months is X. Thus,
 That is, M11 + M12 = 2X      ………… (3)
Substituting values from Equations 1 and 3 in Equation 2:
200,000 + 2X = 330,000
2X = 130,000
X = 65,000
So, the average monthly revenue for the months of November and December is 65,000 USD.   
Answer: Option (A)

Set X is given by {a, 2a, 3a, 4a, 5a} where ‘a’ is a positive integer. If element ‘a’ in Set X is replaced by ‘b’ and b < a, then which of the following must be true?
I.Mean would not change.
II.Median would not change.
III. Standard deviation would not change
  • a)
    I only
  • b)
    II only
  • c)
    III only
  • d)
    Both I and II
  • e)
    Both II and III
Correct answer is option 'B'. Can you explain this answer?

Krithika Datta answered
Solution:

Given, Set X = {a, 2a, 3a, 4a, 5a}

If element a in Set X is replaced by b and b < a,="" then="" the="" set="" becomes="" {b,="" 2b,="" 3b,="" 4b,="" />

To find out which of the given options is true, we need to calculate the mean, median, and standard deviation of both sets and compare them.

Mean:

Mean of Set X = (a + 2a + 3a + 4a + 5a)/5 = 3a

Mean of {b, 2b, 3b, 4b, 5b} = (b + 2b + 3b + 4b + 5b)/5 = 3b

Since a > b, the mean of the second set is less than the mean of the first set. Therefore, option I is not true.

Median:

Median of Set X = 3a

Median of {b, 2b, 3b, 4b, 5b} = 3b

Since the median of both sets is the third element, which is 3a and 3b respectively, the median does not change. Therefore, option II is true.

Standard deviation:

Standard deviation of Set X can be calculated as follows:

σ = √[(1/5) * {(a - 3a)² + (2a - 3a)² + (3a - 3a)² + (4a - 3a)² + (5a - 3a)²}]

= √[(1/5) * {4a² + a² + a² + 4a² + 16a²}]

= √(26a²/5)

Standard deviation of {b, 2b, 3b, 4b, 5b} can be calculated as follows:

σ = √[(1/5) * {(b - 3b)² + (2b - 3b)² + (3b - 3b)² + (4b - 3b)² + (5b - 3b)²}]

= √[(1/5) * {4b² + b² + b² + 4b² + 16b²}]

= √(26b²/5)

Since a > b, the standard deviation of the first set is greater than the standard deviation of the second set. Therefore, option III is not true.

Hence, the correct answer is option II only.

What is the next number in the series 1, 4, 9, 16, ...?
  • a)
    25
  • b)
    20
  • c)
    24
  • d)
    18
Correct answer is option 'A'. Can you explain this answer?

EduRev CLAT answered
The given series is formed by squaring consecutive natural numbers (1, 2, 3, 4, ...). So, the next number in the series is 5^2 = 25.

Name the successor organization of General Agreement on Trade and Tariff (GATT) ?
  • a)
    World Bank
  • b)
    International Monetary Fund (IMF)
  • c)
    Food and Agricultural Organization (FAO)
  • d)
    World Trade Organisation (WTO)
  • e)
    None of the above
Correct answer is option 'D'. Can you explain this answer?

Aisha Gupta answered
The correct answer is (d) World Trade Organisation (WTO). The successor organization of the General Agreement on Trade and Tariff (GATT) is the World Trade Organisation (WTO). GATT was established in 1947 as an international agreement to promote trade liberalization and regulate global trade relations. Over time, as GATT evolved and expanded, it led to the establishment of the WTO in 1995.
The WTO serves as a global organization that deals with the global rules of trade between nations. It provides a framework for negotiating trade agreements, settles trade disputes, and monitors the implementation of trade policies. The WTO plays a vital role in facilitating international trade, promoting fair trade practices, and fostering economic cooperation among its member countries.
Therefore, the WTO is the successor organization of GATT and continues to govern international trade and address trade-related issues among its member nations.

In 1991, as an immediate measure to resolve the balance of payment crisis, the rupee was _______ against foreign currencies.
  • a)
    Revalued
  • b)
    Devalued
  • c)
    Appreciated
  • d)
    Depreciated
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?

Mansi Mishra answered
Devaluation of the Rupee in 1991

In 1991, India was facing a severe balance of payment crisis due to several factors such as high inflation, low foreign exchange reserves, and a mounting fiscal deficit. To address this crisis and stabilize the economy, the Indian government took several immediate measures, one of which was the devaluation of the rupee against foreign currencies.

1. Balance of Payment Crisis:
- India's balance of payment (BOP) is the record of all economic transactions between the residents of the country and the rest of the world. It consists of the current account and capital account.
- A balance of payment crisis occurs when a country faces a shortage of foreign currency reserves to meet its external payment obligations, such as imports, debt servicing, and other international transactions.
- In 1991, India's BOP crisis was mainly caused by a large current account deficit, which means that the country was spending more on imports and external payments than it was earning from exports and foreign investments.

2. Devaluation of the Rupee:
- Devaluation is a deliberate downward adjustment in the value of a currency relative to other currencies or a standard, usually done by the government or central bank.
- Devaluing the currency makes the exports cheaper and more competitive in the international market, while making imports more expensive.
- In 1991, the Indian government devalued the rupee against foreign currencies as an immediate measure to address the balance of payment crisis.
- Devaluation aimed to reduce the current account deficit by making imports costlier and exports more competitive, thereby promoting a higher inflow of foreign exchange.

3. Impact of Devaluation:
- Devaluation can have both positive and negative effects on the economy.
- Positive impact: Devaluation can improve the balance of payment situation by making exports more competitive, increasing foreign exchange earnings, and reducing the current account deficit.
- Negative impact: Devaluation can lead to higher import costs, which may result in inflationary pressures. It can also increase the burden of external debt repayment.

4. Other Measures:
- Devaluation of the rupee was just one of the measures taken by the Indian government in 1991 to address the balance of payment crisis.
- Other measures included liberalization of the economy, industrial reforms, fiscal consolidation, and seeking financial assistance from international organizations like the International Monetary Fund (IMF).

Conclusion:
In 1991, as an immediate measure to resolve the balance of payment crisis, the Indian government devalued the rupee against foreign currencies. This devaluation aimed to improve the country's current account deficit by making exports more competitive and reducing the burden of external payments.

Which type of series is characterized by a common ratio and is of the form a, ar, ar2, ar3, ...?
  • a)
    Geometric progression (GP)
  • b)
    Arithmetic progression (AP)
  • c)
    Odd numbers series
  • d)
    Even numbers series
Correct answer is option 'A'. Can you explain this answer?

Geometric Progression (GP)

A geometric progression (GP) is a type of series that is characterized by a common ratio and is of the form a, ar, ar^2, ar^3, ... where 'a' is the first term and 'r' is the common ratio.

Explanation:

1. Geometric Progression:
- A geometric progression (GP) is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
- In a GP, the ratio of any term to its preceding term is always constant.
- The general form of a GP is given by a, ar, ar^2, ar^3, ... where 'a' is the first term and 'r' is the common ratio.
- The common ratio 'r' can be any non-zero real number.

2. Arithmetic Progression:
- An arithmetic progression (AP) is a sequence of numbers where each term after the first is obtained by adding a constant difference to the preceding term.
- In an AP, the difference between any term and its preceding term is always constant.
- The general form of an AP is given by a, a+d, a+2d, a+3d, ... where 'a' is the first term and 'd' is the common difference.
- The common difference 'd' can be any real number.

Comparison:

- In an arithmetic progression (AP), the terms are obtained by adding a constant difference, whereas in a geometric progression (GP), the terms are obtained by multiplying a constant ratio.
- The terms in an AP have a linear relationship, while the terms in a GP have an exponential relationship.
- The common difference in an AP can be any real number, whereas the common ratio in a GP can be any non-zero real number.

Conclusion:

The series described in the given form, a, ar, ar^2, ar^3, ..., is a geometric progression (GP) as it follows the pattern of multiplying each term by a constant ratio 'r'. Therefore, the correct answer is option 'A' - Geometric Progression (GP).

What is x, if the average of five numbers, x, 6, 3, 15 and 12 is equal to the median?
(1)  6 < x < 12
(2)  x is median of the five numbers
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'D'. Can you explain this answer?

Sravya Joshi answered
Steps 1 & 2: Understand Question and Draw Inferences
Arithmetic mean is same as median
  • As there are five elements, median must be one of them
 
Step 3: Analyze Statement 1
6<x<12
  • As x is less than two numbers (12, 15) and greater than the other two (3, 6), it must be the median
  • x is the average of all the numbers
It is given that the mean is same as the median
  • (3+6+12+15+x)/5 = x
  • 3+6+12+15+x = 5x
  • 4x = 36
  • x = 9
Therefore statement 1 is sufficient.
 Step 4: Analyze Statement 2
x is median of the five numbers
It is given that the mean is same as the median
  • (3+6+12+15+x)/5 = x
  • 3+6+12+15+x = 5x
  • 4x = 36
  • x = 9
Therefore statement 2 is sufficient.
Step 5: Analyze Both Statements Together (if needed)
We get a unique answer in step 3 and step 4, so this step is not required
Answer: Option (D)

I told him that he was not working hard.
  • a)

    I said to him, "You are not working hard."
  • b)
    I told to him, "You are not working hard."
  • c)
    I said, "You are not working hard."
  • d)
    I said to him, "He is not working hard."
Correct answer is option 'A'. Can you explain this answer?

When converting statements from reported speech to direct speech, "was, were" becomes "am, is, are"/ "him, her" becomes "you"/"had" becomes "has, have"/words like "ordered, sternly spoke, shouted" becomes exclamation mark.

Passage​​ 
(Excerpted from the judgment​​ of​​ RIGHT OF PASSAGE OVER​​ INDIAN TERRITORY CASE (Portugal v. India))
Portugal claims a right of passage between Daman and the enclaves, and between the enclaves, across intervening Indian territory, to the extent necessary for the exercise of its sovereignty over the enclaves, subject to India's right of regulation and control of the passage claimed, and without any immunity in Portugal's favour. It claims further that India is under obligation so to exercise its power of regulation and control as not to prevent the passage necessary for the exercise of Portugal's sovereignty over the enclaves. India argues that the vague and contradictory character of the right claimed by Portugal is proved by Portugal's admission that on the one hand the exercise of the right is subject to India's regulation and control as the territorial sovereign, and that on the other hand the right is not accompanied by any immunity, even in the case of the passage of armed forces. There is no doubt that the day-to-day exercise of the right of passage as formulated by Portugal, with correlative obligation upon India, may give rise to delicate questions of application, but that is not, in the view of the Court, sufficient ground for holding that the right is not susceptible of judicial determination with reference to Article 38 (1) of the Statute. In support of its claim, Portugal relies on the Treaty of Poona of 1779 and on sanads (decrees), issued by the Maratha ruler in 1783 and 1785, as having conferred sovereignty on Portugal over the enclaves with the right of passage to them. India objects on various grounds that what is alleged to be the Treaty of 1779 was not validly entered into and never became in law a treaty binding upon the Marathas. It is sufficient to state that the validity of a treaty concluded as long ago as the last quarter of the eighteenth century, in the conditions then prevailing in the Indian Peninsula, should not be judged upon the basis of practices and procedures which have since developed only gradually. The Marathas themselves regarded the Treaty of 1779 as valid and binding upon them, and gave effect to its provisions. The Treaty is frequently referred to as such in subsequent forma1 Maratha documents, including the two sanads of 1783 and 1785, which purport to have been issued in pursuance of the Treaty.​​ The Marathas did not at any time cast any doubt upon the validity or binding character of the Treaty. India contends further that the Treaty and the two sanads of 1783 and 1785 taken together did not operate to transfer sovereignty over the assigned villages to Portugal, but only conferred upon it, with respect to the villages, a revenue grant of the value of 12,000 rupees per annum called a jagir or saranjam.​​
Q. The principle of “ex acquo et bono” is contained in
  • a)
    Article 38(1)(a) of the statue of ICJ
  • b)
    Article 38(1)(b) of the statue of ICJ
  • c)
    Article 38(2) of the statue of ICJ
  • d)
    Article 38(3) of the statue of ICJ
Correct answer is option 'C'. Can you explain this answer?

Nandita Singh answered
The principle of "ex aequo et bono" is contained in Article 38(2) of the Statute of the International Court of Justice (ICJ). This principle allows the Court to decide a case based on principles of equity and fairness, rather than strict adherence to the rules of law. It can be invoked when the parties to a case agree to allow the Court to decide the case using this principle, or if the Court determines that it is necessary to do so in order to arrive at a just and equitable resolution of the case.
Therefore, the correct answer is c) Article 38(2) of the statue of ICJ.

What was the amount that India borrowed in the 1980s from the IMF, International Monetary Fund?
  • a)
    7 billion
  • b)
    10 billion
  • c)
    12 billion
  • d)
    5 billion
  • e)
    6 billion
Correct answer is option 'A'. Can you explain this answer?

Rahul Mehta answered
During the 1980s, India borrowed 7 billion USD from the International Monetary Fund (IMF). This borrowing was aimed at addressing India's economic challenges and supporting its development efforts. The loan from the IMF helped India stabilize its economy and implement necessary reforms to promote growth and financial stability.

What is the next number in the series 1, 1, 2, 3, 5, ...?
  • a)
    8
  • b)
    10
  • c)
    13
  • d)
    7
Correct answer is option 'C'. Can you explain this answer?

The given series is a Fibonacci Series, where each number is the sum of the two preceding numbers. So, to find the next number, add the last two numbers: 5 + 8 = 13.

Kavita has said, I have gone go to the zoo. 
  • a)
    Kavita has said that she has gone to the zoo. 
  • b)
    Kavita have said that she has gone to the zoo. 
  • c)
    Kavita has told that she has gone to the zoo. 
  • d)
    Kavita has said that she have  gone to the zoo. 
Correct answer is option 'A'. Can you explain this answer?

Vivek Patel answered
 Reporting verb 'has said' is in present tense, so tense in reported speech doesn't change. Pronoun 'I' changes to 'she'
In option B tense is changed. So, it is incorrect.
In option C tense of reporting verb is changed. So, it is incorrect.
In option D tense is changed. So, it is incorrect.
hence, the correct option is A 

S is standard deviation of a, b, and c, if a constant C is added to all the three digits, the new standard deviation will be?
  • a)
    S
  • b)
    S*C
  • c)
    S*3C
  • d)
    S+C
  • e)
    S+3C
Correct answer is option 'A'. Can you explain this answer?

Disha Mehta answered
Explanation:
To understand why the new standard deviation will be the same as the original standard deviation, we need to understand the concept of standard deviation and how it is affected by adding a constant to each data point.

Standard Deviation:
The standard deviation measures the spread or dispersion of a set of data points. It tells us how much the data points deviate from the mean. A higher standard deviation indicates a greater spread of data points, while a lower standard deviation indicates a smaller spread.

Effects of Adding a Constant to Data Points:
When a constant is added to each data point, it does not affect the spread or dispersion of the data points. It simply shifts the entire distribution by the same amount. This means that the new data points will have the same relative distances from each other as the original data points.

Effect on Standard Deviation:
Since the standard deviation measures the spread or dispersion of the data points, adding a constant to each data point does not change the spread. The new standard deviation will be the same as the original standard deviation.

Proof:
Let's assume the original standard deviation is S. Adding the constant C to each data point will result in new data points: a+C, b+C, and c+C.

To calculate the new standard deviation, we need to calculate the variance of the new data points:

Variance = ((a+C - (a+b+c+C)/3)^2 + (b+C - (a+b+c+C)/3)^2 + (c+C - (a+b+c+C)/3)^2) / 3

Expanding and simplifying the above expression, we get:

Variance = ((a - (a+b+c)/3)^2 + (b - (a+b+c)/3)^2 + (c - (a+b+c)/3)^2) / 3

This is the same as the original variance, which is equal to S^2.

Therefore, the new standard deviation is equal to the original standard deviation S.

Hence, the correct answer is option 'A'. The new standard deviation will be S.

What is the common difference in the series 3, 8, 13, 18, ...?
  • a)
    4
  • b)
    5
  • c)
    5
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?


Common Difference in the Series 3, 8, 13, 18, ...

The series given is: 3, 8, 13, 18, ...


Finding the Common Difference:

To find the common difference in an arithmetic sequence, we subtract the previous term from the next term. Let's do this for the given series:


- The difference between 8 and 3 is 5.
- The difference between 13 and 8 is 5.
- The difference between 18 and 13 is 5.

Since the difference between each pair of consecutive terms is the same, the common difference in the series is 5.


Conclusion:

The common difference in the series 3, 8, 13, 18, ... is 5. Therefore, the correct answer is option B) 5.

A, B, C, D, E, and F are six consecutive positive odd integers in increasing order. What is the value of the median of these six integers?
(1) The sum of the two smallest integers is greater than the largest integer by 13   
(2) The average (arithmetic mean) of these integers is 26
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'D'. Can you explain this answer?

Mihir Ghoshal answered
Steps 1 & 2: Understand Question and Draw Inferences
We are given six consecutive positive odd integers. We have to find the median of this set of integers.
Since the integers are consecutive odd integers, they can be represented with the help of a positive integer n, as follows:
A = 2*n + 1
B = 2*n + 3
C = 2*n + 5
D = 2*n + 7
E = 2*n + 9
F = 2*n + 11
Now, we know that, for a series in increasing order, the median is the middle number in case of odd number of integers and the average of the middle two numbers in case of even number of integers.
Since there are even number (6) of integers in this series, the median will be the average of the 3rd and 4th number:
Thus, in order to find the value of the median, we need to know the value of n. So, the question becomes “what is the value of n?”  
 
Step 3: Analyze Statement 1
The sum of the two smallest integers is greater than the largest integer by 13 ?
Now, the two smallest integers in the sequence are 2n+1 and 2n+3 and their sum = 4n+4
The largest integer in the sequence is 2n+11.
Per statement (1), the difference between these two should be 13. So,
(4n+4) – (2n+11) = 13
2n-7 = 13
2n = 20
Thus, n =10. 
Now, since we have found the value of n, we can find the median.
 Hence, statement (1) is sufficient to find a unique value of the median.  
Step 4: Analyze Statement 2
The average (arithmetic mean) of these integers is 26   
 Thus:
Now, since we have found the value of n, we can find the median.
Hence, statement (2) is sufficient to find a unique value of the median
 
Step 5: Analyze Both Statements Together (if needed)
Since statement (1) and (2) alone are sufficient to answer the question, we don’t need to perform this step.
 
Answer: Option (D)  

Set X consists of 10 integers and has median of 20 and a range of 20. What is the value of the greatest possible integer that can be present in the set?
  • a)
    32
  • b)
    37
  • c)
    40
  • d)
    43
  • e)
    50
Correct answer is option 'C'. Can you explain this answer?

Sravya Joshi answered
Given:  Median and Range
To Find: The greatest possible number
Let the lowest number be P and the greatest number be Q
Given:
  • Range = 20
    • Q – P = 20
    • Q = 20 + P
Here we expressed Q (the highest value) in terms of P (the lowest value).
Therefore by finding the max value of P, we can find the max value of Q.
Now we know that the median = 20
  • So, the greatest value which P can take = 20
  • This means that at least 6 numbers in the given set of 10 numbers will have the same value of 20. This ways, when the 10 numbers are arranged in an ascending order, the median will be equal to half the sum of the 5th and 6th term. And so, will be equal to 20. The 7th, 8th and 9th terms (when the 10 numbers are arranged in an ascending order) can take any value between 20 and 40. The 10th term will be 40.
  • That is, Q = 40
  • Thus, the greatest integer that can be present in this set is 40.
 
Remember -The difference between any two numbers in a set cannot be greater than the range.
 
Answer: Option (C)

What is the mean of an increasing sequence of 10 consecutive integers?
(1)  The mean of the first 7 integers is 7.
(2)  The mean of  the last 7 integers is 10.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'D'. Can you explain this answer?

Sravya Joshi answered
Step 1 & 2 – Understand the question and draw inferences from the question statement.
We have to find the mean of an increasing sequence of 10 consecutive integers
Let the integers be a, a+ 1, a+ 2, a+ 3, a+ 4, a+ 5, a+ 6, a+ 7, a+ 8 and a+ 9, where a is the lowest integer:
Sum of the 10 consecutive integers
= a+ a+ 1 + a+ 2 + a+ 3 +a+ 4 +a+ 5 + a+ 6 +a+ 7 +a+ 8 +a+ 9
= 10a + 45
Mean of {a1, …..a1 + 9} = (10a+45)/10
If we can find the value of a, we can find the mean.
Step 3 – Analyze Statement 1 Independently
Statement 1 – The mean of the first 7 integers is 7
We Inferred: first seven integers are: a, a+ 1, a+ 2, a+ 3, a+ 4, a+ 5, a+ 6
Their Sum
= a+ a+ 1 + a+ 2 + a+ 3 +a+ 4 +a+ 5 + a+ 6
= 7a + 21
Mean of {a1, ….., a1 + 7} =  (7a +21)/7 = a + 3
Given Mean = 7
  • a + 3 = 7
  • a = 7 -3 = 4
Statement 1 is independently sufficient to arrive at a unique answer.
Step 4 – Analyze Statement 2 Independently
Statement 2 -The mean of the last 7 integers is 10.
We Inferred: last seven integers are: a+ 3, a+ 4, a+ 5, a+ 6, a+ 7, a+ 8, a+ 9
Their Sum
= a+ 3 + a+ 4 + a+ 5 +a+ 6 +a+ 7 + a+ 8 +a+ 9
= 7a + 42
Mean of {a1,….., a1 + 7} = (7a +42)/7 = a + 6
Given Mean = 10
  • a + 6 = 10
  • a = 10 -6 = 4
Statement 2 is independently sufficient to arrive at a unique answer.
Step 5 – Analyze Both Statements Together
We get a unique value in Step 3 and Step 4
Statement (1) and (2) are independently sufficient to arrive at a unique answer.
Answer: Option (D)

The teacher says to me very angrily, Why have you come? Have I not told you to never come again? 
  • a)
    The teacher asks me very angrily why I had come and if she had not told me to never come again. 
  • b)
    The teacher asked me very angrily why I had come and if she had not told me to never come again. 
  • c)
    The teacher asks me very angrily why I have come and if she had not told me to never come again. 
  • d)
    The teacher asks me very angrily why you had come and if she had not told me to never come again. 
Correct answer is option 'C'. Can you explain this answer?

Pooja Dasgupta answered
Understanding the Correct Option
The question revolves around converting direct speech into indirect speech. Let's analyze why option 'C' is correct.
Direct Speech Breakdown
- The teacher expresses anger by asking why the student has come.
- The teacher also reminds the student about a prior instruction to never return.
Analysis of Each Option
- Option A: "The teacher asks me very angrily why I had come and if she had not told me to never come again."
- Incorrect tense: "had come" suggests past perfect, which does not fit the context of the current inquiry.
- Option B: "The teacher asked me very angrily why I had come and if she had not told me to never come again."
- Incorrect verb tense: "asked" changes the context to the past, while the teacher's anger is in the present.
- Option C: "The teacher asks me very angrily why I have come and if she had not told me to never come again."
- Correct verb tense: "asks" maintains the present tense, fitting the immediate context.
- The phrase "have come" accurately reflects the present situation.
- Option D: "The teacher asks me very angrily why you had come and if she had not told me to never come again."
- Incorrect pronoun: "you" changes the perspective from first person (me) to second person, which is not appropriate.
Conclusion
Option 'C' is correct because it maintains the present tense and proper perspective, making the transformation from direct to indirect speech accurate and coherent.

Which of the following term is not related to banking sector?
  • a)
    BASEL III
  • b)
    Forex Reserve
  • c)
    Statutory Liquidity Ratio
  • d)
    Marginal Standing Facility
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?

Maya Kaur answered
Introduction:
The banking sector is a crucial part of the financial system and plays a significant role in the economy. It involves various terms and concepts that are specific to the industry. This question asks us to identify the term that is not related to the banking sector. Let's analyze each option to find the correct answer.

Analysis:

a) BASEL III:
- Basel III is a term related to the banking sector.
- It refers to a set of international banking regulations issued by the Basel Committee on Banking Supervision.
- These regulations aim to strengthen the banking sector's resilience by increasing capital requirements, improving risk management, and enhancing transparency.

b) Forex Reserve:
- Forex Reserve is not directly related to the banking sector.
- Forex Reserve refers to the foreign currency assets held by a country's central bank.
- It is used to manage exchange rate stability, support international trade, and meet external obligations.

c) Statutory Liquidity Ratio (SLR):
- SLR is a term related to the banking sector.
- It is a requirement imposed by the central bank on commercial banks to maintain a certain percentage of their net demand and time liabilities in the form of liquid assets.
- Liquid assets include cash, gold, and government securities.
- SLR helps ensure the liquidity and solvency of banks and serves as a tool for monetary policy.

d) Marginal Standing Facility (MSF):
- MSF is a term related to the banking sector.
- It is a window provided by the central bank to commercial banks for borrowing funds overnight.
- Banks can avail funds at a penal rate above the repo rate by pledging government securities.
- MSF helps banks meet their short-term liquidity requirements.

Conclusion:
After analyzing each option, we can conclude that the term "Forex Reserve" is not related to the banking sector. While it is an essential concept in the field of economics and finance, it specifically pertains to a country's foreign currency assets held by the central bank, rather than the operations and regulations of the banking sector.

Which policy involves integrating Domestic economy with the World economy ?
  • a)
    Globalization
  • b)
    Privatisation
  • c)
    Liberalisation
  • d)
    Nationalisation
  • e)
    None of the above
Correct answer is option 'A'. Can you explain this answer?

Rutuja Gupta answered
Globalization

Globalization is the policy that involves integrating the domestic economy with the world economy. It refers to the increasing interconnectedness and interdependence of countries through the exchange of goods, services, information, and capital.

Explanation:

1. Definition and Concept of Globalization:
Globalization is the process of international integration arising from the interchange of world views, products, ideas, and other aspects of culture. It is driven by advancements in technology, transportation, and communication, which have made it easier for countries to interact and engage in trade.

2. Integration of Domestic Economy with the World Economy:
Globalization involves integrating the domestic economy with the world economy. This means that countries open their markets to foreign trade and investment, allowing the flow of goods, services, and capital across borders. It leads to increased competition, access to new markets, and the transfer of technology and knowledge.

3. Benefits of Globalization:
- Increased economic growth: Globalization can lead to higher levels of economic growth as countries are able to specialize in the production of goods and services that they have a comparative advantage in.
- Enhanced efficiency: Globalization allows countries to benefit from economies of scale and specialization, leading to increased efficiency in production processes.
- Access to new markets: Globalization provides opportunities for businesses to expand their reach and access new markets, which can lead to increased sales and profits.
- Transfer of technology and knowledge: Globalization facilitates the transfer of technology and knowledge between countries, allowing for innovation and development.

4. Challenges of Globalization:
- Inequality: Globalization can exacerbate income inequality within countries, as it can benefit certain sectors and individuals more than others.
- Job displacement: Globalization can lead to job losses in certain industries, particularly those that are unable to compete with cheaper imports or outsourcing.
- Environmental impact: Globalization can contribute to environmental degradation, as increased trade and production can lead to higher levels of pollution and resource depletion.
- Social and cultural changes: Globalization can lead to changes in social and cultural norms, as countries are exposed to different ideas and practices from around the world.

Conclusion:
Globalization is a policy that involves integrating the domestic economy with the world economy. It has both benefits and challenges, and its impact varies across countries and sectors. Overall, globalization has transformed the way countries interact and engage in economic activities, leading to increased interdependence and opportunities for growth.

Some milk was added to each of the 5 cans. If standard deviation of the quantity of milk in the 5 cans at the beginning was 3.5 liters, what was the standard deviation of the quantity of milk in the 5 cans at the end?
(1)  In each can, 20% of existing amount of milk was added.
(2)  The average volume of milk in the cans at the end was 25 liters.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'A'. Can you explain this answer?

Amrutha Jain answered
Step 1 & 2 – Understand the question and draw inferences from the question statement.
To Find:  We have to find the standard deviation of the volume of milk in 5 cans after some was added to each of the cans.
Given: Standard Deviation of the 5 cans of milk in the beginning is 3.5 liters.
Let the quantity of milk in 5 cans be a, b, c, d and e.
Finding standard deviation of {a, b, c, d, e}
Step 1
Mean of {a,b,c, d, e} = {a + b + c + d + e}/5 = M
Step 2
Distances of each point from the mean:
  • a-M
  • b-M
  • c-M
  • d-M
  • e-M
Step 3
Squared Distance from Mean
  • = (a -M)2 + (b-M)2 + (c -M)2 + (d -M)2 + (e -M)2
Step 4
Average = {(a -M)2 + (b-M)2 + (c -M)2 + (d -M)2 + (e -M)2}  /5
Step 5
  • Standard Deviation = √ [{(a -M)2 + (b-M)2 + (c -M)2 + (d -M)2 + (e -M)2}  / 5] = 3.5
Step 3 – Analyze Statement 1 Independently
Statement 1 – In each can, 20% of the existing quantity of milk was added
The amount of milk be a+20%a, b+20%b, c+20%c, d+20%d, e+20%e
Remember:  If all the elements of a set are increased by the x%, the standard deviation of the set also increases by the x%.
So the standard deviation of this set will increase by 20%
New S = 3.5 + 20% *3.5 = Unique number
Alternatively you can calculate the standard deviation of this set as shown below by following same step by step method.
 Set = { a+20%a, b+20%b, c+20%c, d+20%d, e+20%e }
Step 1
  • Sum of {a+20%a, b+20%b, c+20%c, d+20%d, e+20%e}
    • = (1.2)(a + b + c + d + e)
    • Mean of {a+20%a, b+20%b, c+20%c, d+20%d, e+20%e}
      • = (1.2)(a + b + c + d + e)/5 = 1.2 M
Step 2
Distances of each point from the mean:
  • 1.2 (a –M)
  • 1.2 (b-M)
  • 1.2(c-M)
  • 1.2(d-M)
  • 1.2(e-M)
Step 3
Squared Distance from Mean
  • = 1.22 [(a -M)2 + (b-M)2 + (c -M)2 + (d -M)2 + (e -M)2 ]
Step 4
  • Average = 1.22{(a -M)2 + (b-M)2 + (c -M)2 + (d -M)2 + (e -M)2}  /5
Step 5
  • Standard Deviation = 1.2 √ [{(a -M)2 + (b-M)2 + (c -M)2 + (d -M)2 + (e -M)2}  / 5]
    • = 1.2 *3.5 = 3.5 + 20% *3.5
    • = Unique value
Statement (1) is independently sufficient to arrive at a unique answer.
Step 4 – Analyze Statement 2 Independently
Statement 2 -The average quantity of milk in the cans at the end was 25 liters
We do not know how the quantity changed in each of the cans.
Thus, the information given in statement (2) is not sufficient to arrive at a unique solution.
Step 5 – Analyze Both Statements Together
We get a unique value in Step 3.
Statement (1) independently is sufficient to arrive at a unique answer
Answer:  Option (A)

In the questions below the sentences have been given in Direct/Indirect speech. From the given alternatives, choose the one which best expresses the given sentence in Indirect/Direct speech.
Poonam says, Cats are very clean animals.. Her friend asks,  Do you like them?
  • a)
    Poonam said that cats are very clean animals. Her friend asked her if she liked them. 
  • b)
    Poonam says  that cats are very clean animals. Her friend asked her if she likes them. 
  • c)
    Poonam told that cats are very clean animals. Her friend asked her if she liked them. 
  • d)
    Poonam said that cats are very clean animals. Her friend asked her if she likes them. 
Correct answer is option 'B'. Can you explain this answer?

Explanation:

In the given sentence, Poonam says that cats are very clean animals. Her friend asks her if she likes them. We need to convert this sentence into indirect speech.


Steps to convert direct speech into indirect speech:

1. Reporting verb should be changed according to the tense of the reporting verb and the reporting speech should be changed to reported speech.

2. The tense of the reported speech should be changed according to the rules of sequence of tenses.

3. Pronouns, demonstratives and possessives should be changed according to the subject of the reporting speech.

4. Time and place should also be changed.


Option A: Poonam said that cats are very clean animals. Her friend asked her if she liked them.

There is no error in option A. It correctly follows all the steps to convert direct speech into indirect speech. This option is correct.


Option B: Poonam says that cats are very clean animals. Her friend asked her if she like them.

Option B is incorrect because the tense of the reported speech is not changed according to the rules of sequence of tenses. It should be "liked" instead of "like" to match the tense of the reporting verb "asked".


Option C: Poonam told that cats are very clean animals. Her friend asked her if she liked them.

Option C is incorrect because the reporting verb "told" is not appropriate. "Said" is more appropriate in this context.


Option D: Poonam said that cats are very clean animals. Her friend asked her if she like them.

Option D is incorrect because it has the same error as option B. The tense of the reported speech is not changed according to the rules of sequence of tenses. It should be "liked" instead of "like" to match the tense of the reporting verb "asked".


Therefore, the correct answer is option A.

A set X: {a1, a2, a3, a4, a5} with non-zero elements have mean M. What is the mean of the set Y: {a1 - 1, a2 - 2, a3 - 3, a4 + 5, a5 + 1}?
  • a)
    M - 3
  • b)
    M - 2
  • c)
    M - 1
  • d)
    M
  • e)
    M + 1
Correct answer is option 'D'. Can you explain this answer?

Dhruv Mehra answered
In Set X: {a1,a2,a3,a4,a5a1,a2,a3,a4,a5}

• Mean of Set X with 5 elements = M
• Sum = Mean * Number of elements
• a1+a2+a3+a4+a5 = 5M --(1)

In Set Y: {a1−1, a2−2, a3−3, a4+5, a5+1}

• Sum of elements =(a1–1) + (a2-2) + (a3-3) + (a4+5) + (a5+1)
Rearranging, we get
• Sum =a1+a2+a3+a4+a5+(−1+−2+−3+5+1)
• Sum =a1+a2+a3+a4+a5+0=a1+a2+a3+a4+a5+0
• Sum = 5M
From(1)
• Mean=(Sum)/(Number of elements)
• Mean =5M/5=5M/5
• Mean = M

The teacher said to the students, "Have you completed your homework?"
  • a)
    The teacher said to the students if they complete their homework.
  • b)
    The teacher told the students if they had completed their homework.
  • c)
    The teacher asked the students if they had completed their homework.
  • d)
    The teacher asked the students if they have completed their homework.
Correct answer is option 'C'. Can you explain this answer?

Rhea Reddy answered
The correct transformation of the given sentence would be: "The teacher asked the students if they had completed their homework." The reporting verb "asked" is used to indicate a question, and the conjunction "if" is used to introduce the indirect question. Additionally, the verb tense changes from "have" to "had" to maintain the past tense.

What did the Indian government do to get a loan from the IMF?
  • a)
    Gave government bonds as collateral
  • b)
    Gave India’s gold reserves as collateral
  • c)
    Made business deals with other countries
  • d)
    Followed protectionism of the domestic market
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?

Rhea Reddy answered
When India sought a loan from the International Monetary Fund (IMF), the Indian government pledged a portion of its gold reserves as collateral. This collateral provided assurance to the IMF that the loan would be backed by valuable assets. By using gold reserves as collateral, India demonstrated its commitment to repaying the loan and mitigating the risk for the IMF. This collateralization of gold reserves is a common practice when countries borrow from international financial institutions like the IMF.

Who was India’s prime minister during 1990 when the economic crisis was unfolding?
  • a)
    Narendra Modi
  • b)
    Manmohan Singh
  • c)
    Atal Bihari Vajpayee
  • d)
    V. P. Singh
  • e)
    None of the above
Correct answer is option 'D'. Can you explain this answer?

Gowri Dasgupta answered
India is a country located in South Asia. It is the seventh-largest country by land area and the second-most populous country in the world, with over 1.3 billion people. It gained independence from British colonial rule on August 15, 1947, and is now a federal parliamentary democratic republic. India is known for its rich cultural heritage, diverse languages, religions, and traditions.

What is the first term in the arithmetic progression (AP) with a common difference of 4 and the 7th term equal to 27?
  • a)
    3
  • b)
    5
  • c)
    4
  • d)
    2
Correct answer is option 'A'. Can you explain this answer?

In an arithmetic progression (AP), the n-th term is given by [a + (n - 1)d]. Here, the 7th term is 27, and the common difference (d) is 4. We can find the first term (a) by rearranging the formula: a = 27 - (7 - 1) * 4 = 27 - 6 * 4 = 27 - 24 = 3. So, the correct choice is Option A.

Which series is formed by adding each number to the previous term, such as 17, 22, 32, 47, ...?
  • a)
    Geometric progression (GP)
  • b)
    Fibonacci Series
  • c)
    Odd numbers series
  • d)
    Increasing series
Correct answer is option 'D'. Can you explain this answer?

Adding each number to the previous term is a characteristic of an increasing series. In an increasing series, each term is obtained by adding a constant difference to the previous term. Let's analyze the given series step by step to understand why it belongs to an increasing series.

Step 1: 17
The first term of the series is 17.

Step 2: 17 + 5 = 22
To obtain the second term, we add 5 to the previous term (17).

Step 3: 22 + 10 = 32
To obtain the third term, we add 10 to the previous term (22).

Step 4: 32 + 15 = 47
To obtain the fourth term, we add 15 to the previous term (32).

We can observe that each term is obtained by adding a constant difference to the previous term. In this case, the constant difference is increasing by 5 each time (5, 10, 15). Therefore, the series is an increasing series.

Explanation of Other Options:
a) Geometric Progression (GP): In a geometric progression, each term is obtained by multiplying a constant ratio to the previous term, not by adding a constant difference. Therefore, this series does not follow the pattern of a geometric progression.
b) Fibonacci Series: In a Fibonacci series, each term is obtained by adding the two previous terms, not by adding a constant difference to the previous term. Therefore, this series does not follow the pattern of a Fibonacci series.
c) Odd Numbers Series: In an odd numbers series, each term is an odd number, but the terms are not obtained by adding a constant difference to the previous term. Therefore, this series does not follow the pattern of an odd numbers series.

Conclusion:
The given series, 17, 22, 32, 47, ..., forms an increasing series as each term is obtained by adding a constant difference (5, 10, 15) to the previous term.

"Please don't go away", she said.
  • a)
    She said to please her and not go away.
  • b)
    She told me to go away.
  • c)
    She begged me not to go away.
  • d)
    She begged that I not go away.
Correct answer is option 'C'. Can you explain this answer?

Ashwini Desai answered
Explanation:

Context:
The speaker is asking someone not to leave, indicating a desire for them to stay.

Interpretation:
The statement "Please don't go away" implies a sense of urgency or importance attached to the person staying.

Explanation of Options:
  • Option A: This does not accurately represent the situation as the speaker is not requesting for the other person to please them but rather asking them not to leave.
  • Option B: This directly contradicts the original statement as the speaker is asking the person not to go away.
  • Option C: This is the correct answer as it accurately reflects the speaker's plea for the other person to stay.
  • Option D: This is similar to option C but places more emphasis on the request being a plea rather than a simple statement.



Conclusion:
In this scenario, the speaker is expressing a desire for the other person to stay, as evidenced by the statement "Please don't go away." The accurate interpretation of this statement is reflected in option C, where the speaker is begging the other person not to leave.

Following the New Economic Policy, which sector mainly drives the growth of Indian economy?
  • a)
    Agriculture
  • b)
    Service
  • c)
    Industry
  • d)
    Construction
  • e)
    None of the above
Correct answer is option 'B'. Can you explain this answer?

Surbhi Joshi answered
Service Sector Drives Growth of Indian Economy
The service sector mainly drives the growth of the Indian economy following the New Economic Policy. Here is an explanation of why the service sector plays a crucial role in the country's economic development:

Contribution to GDP
- The service sector contributes significantly to India's Gross Domestic Product (GDP). It comprises various industries such as IT, telecommunications, banking, healthcare, tourism, and more, which collectively contribute a substantial share to the country's GDP.

Employment Generation
- The service sector is a major source of employment in India. It provides job opportunities to a large number of people across various skill levels, thus contributing to economic growth and reducing unemployment rates.

Foreign Exchange Earnings
- The service sector plays a vital role in earning foreign exchange for the country. Industries like IT services, business process outsourcing (BPO), and tourism bring in substantial foreign exchange, which strengthens India's economy.

Technological Advancements
- The service sector is often at the forefront of technological advancements. Industries such as IT and telecommunications drive innovation, improve productivity, and enhance competitiveness, thereby boosting economic growth.

Global Competitiveness
- India's service sector has gained global recognition for its quality and competitiveness. The country has emerged as a preferred destination for outsourcing services, attracting foreign investments and boosting economic growth.
In conclusion, the service sector's growth post the New Economic Policy has been instrumental in driving India's economic development. Its contributions to GDP, employment generation, foreign exchange earnings, technological advancements, and global competitiveness make it a key driver of the country's economic growth.

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