Directions for the following 4 (four) items:
Read the following passage and answer the items that follow. Your answers to these items should be based on the passage only.
Passage-1
For two or three generations past, ever increasing numbers of individuals have been living as workers merely, not as human beings. An excessive amount of labour is rule today in every circle of society, with the result that man's spiritual element cannot thrive. He finds it very difficult to spend his little leisure in serious activities. He does not want to think; or he cannot even if he wants to. He seeks not self-improvement, but entertainment which would enable him to be mentally idle and to forget his usual activities. Therefore, the so-called culture of our age is dependent more on cinema than on theatre, more on newspapers, magazines and crime stories than on serious literature.
The passage is based on the idea that
man should not work hard
the great evil of our age is overstrain
man cannot think well
man cannot care for his spiritual welfare
The question asks for the central idea or basis of the provided passage. To answer this, we need to carefully read the passage and identify the main argument or theme presented by the author. We should look for recurring ideas, emphasized points, and the overall message conveyed.
B) the great evil of our age is overstrain. The passage repeatedly emphasizes the negative effects of "excessive amount of labour," which is synonymous with overstrain. It argues that this overstrain prevents individuals from living as full human beings, hinders their spiritual and intellectual development, and leads to a decline in cultural pursuits. Therefore, the passage is fundamentally based on the idea that overstrain is a significant problem in modern society.
Man does not seek self-improvement because he
is not intellectually capable
has no time to do so
is distracted by materialism
loves amusement and is mentally idle
This question tests comprehension of a general human tendency. We need to identify the most common and fundamental reason why individuals often neglect self-improvement, based on common understanding and observation of human behavior.
Correct Option: B) has no time to do so
Passage-2
The demographic dividend, which has begun in India and is expected to last another few decades, is a great window of opportunity. The demographic dividend is basically a swelling in the working age population, which conversely means that the relative ratio of very young and very old will, for a while, be on the decline. From the experience of Ireland and China, we know that this can be a source of energy and an engine of economic growth. The demographic dividend tends to raise a nation's savings rate since in any nation, it is the working age population that is the main saver. And since the savings rate is an important driver of growth, this should help elevate our growth rate. However, the benefits of demographic dividend depend on the quality of the working age population. And this implies bringing back the importance of education, acquisition of skills and human capital.
Which of the following would invariably happen in a country, when the demographic dividend has begun to operate?
1. The number of illiterate people will decrease.
2. The ratio of very old and very young will decrease for a while.
3. Population growth rate will quickly stabilize,
Select the correct answer using the code given below.
The question asks what would invariably happen when a demographic dividend begins to operate, based on the provided passage. We need to analyze each statement in light of the definition and implications of a demographic dividend as described in the passage.
The passage states that "the benefits of demographic dividend depend on the quality of the working age population. And this implies bringing back the importance of education, acquisition of skills and human capital." While education is crucial for realizing the benefits of a demographic dividend, the beginning of a demographic dividend (a swelling in the working-age population) does not automatically or invariably lead to a decrease in the absolute number of illiterate people. It points to the need for education, but doesn't guarantee its immediate outcome.
The passage explicitly defines demographic dividend as "basically a swelling in the working age population, which conversely means that the relative ratio of very young and very old will, for a while, be on the decline." This statement directly aligns with the definition provided in the passage.
A demographic dividend is characterized by a higher proportion of the working-age population. This usually occurs after a period of high birth rates followed by declining birth rates and death rates. While a demographic dividend period might eventually lead to a stabilization of population growth rates as fertility rates decline further, the passage does not state that population growth rate will *quickly* stabilize as an *invariable* consequence of the demographic dividend *beginning to operate*. The dividend itself is about the age structure, not necessarily an immediate stabilization of overall growth rate.
Based on this analysis, only statement 2 is an invariable consequence directly stated in the definition of a demographic dividend within the passage.
Correct Option: B) 2 only
With reference to the passage, which of the following inferences can be drawn?
1. Demographic dividend is an essential condition for a country to rapidly increase its economic growth rate.
2. Promotion of higher education is an essential condition for a country. for its rapid economic growth.
Select the correct answer using the code given below.
The problem states that the passage describes India's demographic dividend and how it can raise savings and growth, provided the working-age population is of good quality. This means that we must check whether each statement follows strictly from what the passage says, without adding stronger claims of our own. We will test each statement against the passage, paying special attention to strong words like "essential condition".
Understand the passage's main idea: A larger working-age population tends to raise the savings rate, which can help raise growth. The benefits, however, depend on the quality of that population, which brings in education, skills and human capital.
Examine statement 1: It claims the demographic dividend is an essential condition for rapid growth.
Examine statement 2: It claims promotion of higher education is an essential condition for rapid growth.
Combine the results: Neither statement can be drawn as an inference from the passage.
Correct Option: D) Neither 1 nor 2 — The passage presents the demographic dividend as a possible driver of growth, not an essential one, and links education and skills only to reaping that dividend, not to higher education being essential for growth.
Five friends P. Q, X, Y and Z purchased notebooks. The relevant information is given below:
1. Z purchased 8 notebooks more than X did.
2. P and Q together purchased 21 notebooks.
3. O purchased 5 notebooks less than P did.
4. X and Y together purchased
5. P purchased 5 notebooks more than X did.
If each notebook is priced ₹40, then what is the total cost of all the notebooks?
This problem involves calculating travel times and comparing clock readings. We need to determine the actual time spent on the journey and at the village, then use the home clock's total elapsed time to find the discrepancy in the village clock.
Calculate total time elapsed by home clock:
The man started from home at 14:30 and returned home at 16:00.
Total time elapsed by home clock = 16:00 - 14:30 = 1 hour 30 minutes = 90 minutes.
Define variables for the journey:
Let the distance to the village be \(D_1\).
Let the speed to the village be \(S_1\).
Time taken to reach village (outward journey) = \(T_1 = \frac{D_1}{S_1}\).
Define variables for the return journey:
The return route length is 1.25 times the first route, so \(D_2 = 1.25 D_1\).
The return speed is twice as fast, so \(S_2 = 2 S_1\).
Time taken for return journey = \[T_2 = \frac{D_2}{S_2} = \frac{1.25 D_1}{2 S_1} = \frac{1.25}{2} \times \frac{D_1}{S_1} = 0.625 T_1\].
Formulate the total time equation:
The total time elapsed by the home clock is the sum of the outward journey time, the stay time, and the return journey time.
Let \(T_{\text{stay}}\) be the time spent in the village, which is 25 minutes.
Total time (home clock) = \(T_1 + T_{\text{stay}} + T_2\)
\(90 \text{ minutes} = T_1 + 25 \text{ minutes} + 0.625 T_1\)
\(90 - 25 = T_1 + 0.625 T_1\)
\(65 = 1.625 T_1\)
Calculate \(T_1\):
\[ T_1 = \frac{65}{1.625} = 40 \text{ minutes} \]
So, the time taken for the outward journey was 40 minutes.
Calculate \(T_2\):
\(T_2 = 0.625 T_1 = 0.625 \times 40 = 25 \text{ minutes}\).
Determine the actual arrival time at the village (by home clock):
Man started at 14:30.
Time taken to reach village = 40 minutes.
Actual arrival time at village (by home clock) = 14:30 + 40 minutes = 15:10.
Compare with the village clock:
The village clock indicated 15:15 when the man arrived.
Actual arrival time (home clock) = 15:10.
Village clock reading = 15:15.
Difference = 15:15 - 15:10 = 5 minutes.
Conclusion about the village clock:
Since the village clock showed 15:15 when the actual time was 15:10, the village clock is 5 minutes fast.
Correct Option: D) 5 minutes fast
The problem involves finding the minimum number of pens X should buy such that the distribution conditions are met, and each child receives an even number of pens. We need to express the number of pens for each child in terms of a common variable and then find the least common multiple (LCM) that satisfies all conditions, including the even number requirement.
Let the number of pens received by child A be \(N_A\), B be \(N_B\), C be \(N_C\), D be \(N_D\), E be \(N_E\), and F be \(N_F\).
From the given conditions, we can express the number of pens for each child in terms of \(N_A\):
\(N_A = 2 N_B \implies N_B = \frac{N_A}{2}\)
\(N_A = 3 N_C \implies N_C = \frac{N_A}{3}\)
\(N_A = 4 N_D \implies N_D = \frac{N_A}{4}\)
\(N_A = 5 N_E \implies N_E = \frac{N_A}{5}\)
\(N_A = 6 N_F \implies N_F = \frac{N_A}{6}\)
For \(N_B, N_C, N_D, N_E, N_F\) to be integers, \(N_A\) must be a multiple of 2, 3, 4, 5, and 6. Therefore, \(N_A\) must be a multiple of the LCM of (2, 3, 4, 5, 6).
Prime factorization: \(2=2\), \(3=3\), \(4=2^2\), \(5=5\), \(6=2 \times 3\)
LCM (2, 3, 4, 5, 6) = \(2^2 \times 3 \times 5 = 4 \times 3 \times 5 = 60\)
So, \(N_A\) must be a multiple of 60. Let \(N_A = 60k\) for some positive integer \(k\).
Now, we need to ensure that the number of pens each child gets is an even number. Let's express the number of pens for each child using \(N_A = 60k\):
\(N_A = 60k\)
\(N_B = \frac{60k}{2} = 30k\)
\(N_C = \frac{60k}{3} = 20k\)
\(N_D = \frac{60k}{4} = 15k\)
\(N_E = \frac{60k}{5} = 12k\)
\(N_F = \frac{60k}{6} = 10k\)
For each of these values to be even, \(k\) must be chosen appropriately. We need \(60k\), \(30k\), \(20k\), \(15k\), \(12k\), and \(10k\) to all be even.
\(60k\) is always even for any integer \(k\).
\(30k\) is always even for any integer \(k\).
\(20k\) is always even for any integer \(k\).
\(12k\) is always even for any integer \(k\).
\(10k\) is always even for any integer \(k\).
However, \(15k\) must be even. For \(15k\) to be even, \(k\) must be an even number (since 15 is odd). The smallest positive even integer for \(k\) is 2.
Substitute the minimum even value for \(k\), which is 2, into the expressions:
\(N_A = 60 \times 2 = 120\)
\(N_B = 30 \times 2 = 60\)
\(N_C = 20 \times 2 = 40\)
\(N_D = 15 \times 2 = 30\)
\(N_E = 12 \times 2 = 24\)
\(N_F = 10 \times 2 = 20\)
All these numbers (120, 60, 40, 30, 24, 20) are even.
The total minimum number of pens X should buy is the sum of pens received by all children:
\[ \text{Total pens} = N_A + N_B + N_C + N_D + N_E + N_F \]\[ \text{Total pens} = 120 + 60 + 40 + 30 + 24 + 20 \]\[ \text{Total pens} = 294 \]C) 294 is the minimum number of pens X should buy to satisfy all conditions.
Six persons A, B, C, D, E and P are sitting equidistant from each other around a circular table (facing the centre of the table).
Consider the Question and two Statements given below :
Question: Who is sitting on the immediate left of A?
Statement-1: B is sitting opposite to C and D is sitting opposite to E.
Statement-2: F is sitting on the immediate left of B
Which one of the following is correct in respect of the Question and the Statements?
Statement-1 alone is sufficient to answer the Question
Statement-2 alone is sufficient to answer the Question
Both Statement-1 and Statement-2 are sufficient to answer the Question
Both Statement-1 and Statement-2 are not sufficient to answer the Question
The problem asks us to determine who is sitting on the immediate left of A around a circular table with six persons (A, B, C, D, E, P) facing the center. We need to evaluate if Statement-1, Statement-2, or both together are sufficient to answer this question.
There are 6 persons sitting around a circular table. Let's denote the positions as 1, 2, 3, 4, 5, 6 in a clockwise direction. Since they are facing the center, 'immediate left' means the position immediately clockwise to the person.
When 6 people are sitting around a circular table, opposite positions are 3 places apart. For example, if B is at position 1, C is at position 4. Similarly, if D is at position 2, E is at position 5. The remaining two persons are A and P. They must also be opposite to each other. So, A is opposite to P.
Let's fix B's position. Let B be at position 1. Then C must be at position 4. Let D be at position 2. Then E must be at position 5. The remaining positions are 3 and 6, which must be occupied by A and P. So, A and P are opposite to each other.
Possible arrangements based on Statement-1:
Since we get two different answers for "who is sitting on the immediate left of A" (C or B), Statement-1 alone is not sufficient.
The problem states that the six persons are A, B, C, D, E, and P. The person 'F' is not among the given six persons. This statement introduces an external person not part of the group. Therefore, Statement-2 is irrelevant and cannot be used to answer the question about the given six persons.
Even if we assume 'F' is a typo and meant to be one of the given persons (e.g., P), we still wouldn't have enough information. For example, if P is on the immediate left of B, it tells us nothing about A's immediate left without knowing A's position relative to B, C, D, E, P.
Since Statement-2 is irrelevant due to the introduction of an unknown person 'F', combining it with Statement-1 does not add any useful information. Statement-1 alone was insufficient, and adding an irrelevant statement does not make it sufficient.
Therefore, both statements together are not sufficient to answer the question.
D) Both Statement-1 and Statement-2 are not sufficient to answer the Question
Consider the Question and two Statements given below:
Question : What is the age of Manisha?
Statement-1: Manisha is 24 years younger than her mother.
Statement-2: 5 years later, the ages of Manisha and her mother will be in the ratio 3:5
Which one of the following is correct in respect of the Question and the Statements?
Statement-1 alone is sufficient to answer the Question
Statement-2 alone is sufficient to answer the Question
Both Statement-1 and Statement-2 are sufficient to answer the Question
Both Statement-1 and Statement-2 are not sufficient to answer the Question
To determine Manisha's age, we need to see if the given statements provide enough information to form a solvable system of equations. We will analyze each statement individually and then combine them if necessary.
C) Both Statement-1 and Statement-2 are sufficient to answer the Question. As shown in the step-by-step analysis, combining both statements allows us to form a system of two linear equations with two variables, which can be solved uniquely for Manisha's age.
Six lectures A, B, C, D, E and F, each of one hour duration, are scheduled between 8:00 a.m. and 2:00 p.m.
Consider the Question and two Statements given below:
Question: Which lecture is in the third period?
Statement-1: Lecture F is preceded by A and followed by C
Statement-2: There is no lecture after lecture B
Which one of the following is correct in respect of the Question and the Statements?
Statement-1 alone is sufficient to answer the Question
Statement-2 alone is sufficient to answer the Question
Both Statement-1 and Statement-2 are sufficient to answer the Question
Both Statement-1 and Statement-2 are not sufficient to answer the Question
The problem asks to identify the lecture in the third period using two statements. We need to determine if Statement-1 alone, Statement-2 alone, or both statements together are sufficient to answer the question. There are six lectures (A, B, C, D, E, F) each of one hour duration, scheduled between 8:00 a.m. and 2:00 p.m. This means there are six periods, from Period 1 (8-9 a.m.) to Period 6 (1-2 p.m.).