“He often _____ the numbers. False claims are not going to help. Honesty _____ trust”, said the manager. Choose the option with the correct order of words to fill the blanks.
a.
exaggerates; engenders
Correct Answer
b.
excels; encourages
c.
aggravates; alleviates
d.
diminishes; eliminates
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Q2mcq
In the sequence of tiles shown below, the missing tile indicated by the question mark should be
a.
b.
Correct Answer
c.
d.
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Q3mcq
A school has 100 students distributed among 1 st to 10 th standards. Based on this, which one of the following statements is always correct?
a.
There are at least 10 students who belong to the same standard.
Correct Answer
b.
There is at least one student in each standard.
c.
There are at most 10 students in 10 th standard.
d.
The total number of students from 1 st to 5 th standards is at least 50.
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Q4mcq
How many 3-digit numbers can be formed using three distinct single digit prime numbers?
a.
64
b.
24
Correct Answer
c.
12
d.
4
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Q5mcq
In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is ____
a.
18
b.
20
c.
24
Correct Answer
d.
32
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Q6mcq
Charity: P:: Retaliation: Q Choose the appropriate pair of words P and Q that fit the analogy.
a.
P = Parsimonious; Q = Vengeful
b.
P = Altruistic; Q = Amicable
c.
P = Resentful; Q = Spiteful
d.
P = Magnanimous; Q = Vindictive
Correct Answer
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Q7mcq
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
a.
Only (i) can correspond to the unfolded cube in Panel I.
Correct Answer
b.
Only (ii) can correspond to the unfolded cube in Panel I.
c.
Both (i) and (ii) can correspond to the unfolded cube in Panel I.
d.
Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
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Q8mcq
Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is ________
a.
8
b.
4
c.
3
d.
2
Correct Answer
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Q9mcq
Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them: i. Neither H2 nor H3 is the easternmost hill. ii. Neither H2 nor H3 is the westernmost hill. iii. Neither the easternmost hill nor the westernmost hill is the southernmost iv. Two hills are located to the west of H2. v. The southernmost hill has at least two hills to its east.
hill. The southernmost hill is ________.
a.
H1
b.
H2
c.
H3
Correct Answer
d.
H4
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Q10mcq
As shown in the figure, circle $C$ 1 with center $O$ 1 and radius $r$ 1 touches the square $VWXY$ at points $P$ and $Q$ while circle $C$ 2 with center $O$ 2 and radius $r$ 2 touches the square $VWXY$ at points $R$ and $S.$ The two circles touch each other at $T.$
̅̅̅̅̅ = 4 cm, $r$ = _____ cm. Given $r$ = 1 cm and ̅̅̅̅ $VY$ = $VW$
2 1
a.
4 - $3\sqrt{2}$
b.
1 + $2\sqrt{2}$
c.
7 - $4\sqrt{2}$
Correct Answer
d.
5 + $3\sqrt{2}$
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expert in one of the performing arts, namely, dance, theatre, guitar and percussion, not necessarily in that order. The dancer is taller than the theatre expert. Aman is taller than Chiranjeevi. The percussionist is taller than Beena but shorter than Aman. Beena is shorter than the dancer. The guitarist is not the tallest. Dhiman is shorter than both, guitarist and Chiranjeevi. What is the expertise of Aman?
a.
Dance
b.
Theatre
c.
Guitar
d.
Percussion
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Let $∆ABC$ be an isosceles triangle with the base $AB$ of length 8 units. Let $CD$ be a perpendicular of length 4 units drawn from the vertex $C$ onto the base $AB$ and $AC$ = $BC.$ Then, which of the following is the set of values of the angles (in degrees) $CAB, ABC, BCA$ respectively?
a.
45,45,90
b.
100,40,40
c.
90,45,45
d.
40,40,100
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In the given passage, fill in the blanks with most suitable set of given words: The future must no longer be___ by the past. While, the effects of the past are still with us, each day is a new___. Therefore, one should ___from solely believing in destiny and crave towards charting their own path of success with grit and labour. Positive_______ is imperative.
a.
Determined, beginning, refrain, anticipation
b.
Fascinated, one, include, physiology
c.
Explored, suffering, content, psychiatry
d.
Marred, life, hinder, labyrinth
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Indian society is experiencing a boom in pet culture, where people are becoming responsible caretakers of pets rather than merely providing food and shelter. They no longer like to identify themselves as ‘pet-owners’ but rather as ‘pet-parents’. This means that there is an emotional transaction rather than a utilitarian one. Which of the following weaken(s) the argument presented in the given passage?
a.
Some social media influencers are using their pets only for popularity.
b.
Food, medicines and clothes for pets are becoming easily available.
c.
Pet owners are expecting some provision for tax rebate.
d.
In today’s stressful times, pets provide emotional support.
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Three statements, S1, S2 and S3 are given, followed with 4 conclusions, C1, C2, C3 and C4. S1: Hostel authorities organised a special lunch on 01-02-26 during 12 noon to 3 pm, for those residents of the Hostel, who paid hostel mess fees on time. S2: Hostel authorities issued a notice that, since elections for Mess Council is held during 4-5 pm of 01-02-26, residents of the Hostel who are contesting the elections need to stay away from the hostel since morning till 5 pm. S3: Hostel residents who were eligible to have special lunch, had it on 01-02-26. C1: Residents who did not have special lunch on 01-02-26, either did not pay hostel mess fees on time or were contesting elections. C2: Residents having special lunch on 01-02-26, were either not contesting elections or had paid hostel mess fees on time. C3: Residents who are contesting elections need not care about paying mess fees. C4: Residents who have paid hostel mess fees on time could join special lunch only if they are not contesting elections. Which of the conclusion(s) is/are incorrect?
a.
Only one among C1, C2, C3 and C4 is incorrect.
b.
C1 and C2 are incorrect.
c.
C2 and C3 are incorrect.
d.
C3 and C4 are incorrect.
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Six statements, S1 to S6, are given. S1: All GATE candidates are engineers. S2: Some GATE candidates are CAT candidates. S3: All GRE candidates are GATE candidates. S4: All engineers are GRE candidates. S5: Some CAT candidates are GRE candidates. S6: Some CAT candidates are engineers. Based on S1-S6, following options provide a set of three statements, followed by a fourth statement. Identify the option(s) where the fourth statement can be necessarily inferred from the set of three statements.
a.
{S1, S2, S3} => S5
b.
{S4, S1, S2} => S5
c.
{S6, S1, S3} => S5
d.
{S4, S3, S1} => S6
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Four couples M-N, O-P, R-L, S-E meet to have a dinner together on an eight- seater rectangular dining table with four seats each on opposite sides. The men are named as M, O, R, S. Two of the men, O, R, sit on the two corners of one side of the table and M sits beside R. Further, none of the couples occupy seats opposite to each other. However, a person sits adjacent to the seat opposite to his/her spouse. Based on the information, which of the following conclusions can be drawn?
a.
R sits opposite to N and S sits opposite to P.
b.
R sits opposite to P and O sits opposite to N.
c.
S sits opposite to N and O sits opposite to L.
d.
M sits opposite to L and O sits opposite to E.
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Me and my spouse have a big family, comprising 8 females and 6 males. We have two sons and two daughters, of whom the eldest is unmarried. Out of my two grandsons and three granddaughters, only one grandson is a single child. His mother is my younger daughter. Which of my children necessarily has two daughters?
a.
None of my sons
b.
One of my sons
c.
One of my daughters
d.
Elder daughter
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Three players named Arun, Babita and Chandu play a game by tossing an unbiased coin in turn whose rules are as follows: Initially each player has 100 candies. If the tossing of this coin results in a ‘head’ then the player who tosses receives 10 candies from each of the other two players, whereas, if the toss results in a ‘tail’ then the player who tosses has to give away 20 candies to each of the other two players. A player with the highest number of candies at the end will be the winner. The game is started by Arun, followed by Babita and finally stopped after Chandu’s turn. Given that Arun is the only winner, which of the following hold(s) true?
a.
Arun has 90 candies more than Chandu
b.
Both Babita and Chandu have the same number of candies
c.
Arun has 90 candies more than Babita
d.
Babita and Chandu together have 120 candies
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Choose the correct sequence of sentences so that they form a coherent paragraph: P. However, in the context of texts dealing with science or engineering, this
condition may not be applicable. Q. One can infer, that there is something called discipline fidelity and within
this aspect, content, language, structure and scope of a text may vary. R. In the meaning-making process of a text, it is not always logic that is central. S. Most of the times, it is the expression of the experience that supersedes the
structure and argument. Which of the following options is/are correct and giving the most appropriate order and meaning to the sentence?
a.
RSPQ
b.
QRSP
c.
RSQP
d.
SPRQ
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Mental health is a global concern, especially among the youth. During the Covid- 19 pandemic, when schools and colleges were operating online, students were left with no option but to stay at home leading to negligible social interaction. Several studies indicate that even when offline classes have now resumed post Covid-19 pandemic, these students are finding it difficult to establish social connect leading to mental health issues. To deal with this situation, schools and colleges are trying hard to implement different strategies to combat their student’s mental health depending on their unique culture, overall strength, and resources. Which of the following conclusions can be drawn from the above passage?
a.
India is a young nation.
b.
mental health.
c.
A combination of online and offline class is good for students.
d.
Social connect is important for mental health.
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On the basis of syntax and grammar, identify the incorrect sentence(s). I. Doctors have found high levels of cerebrospinal fluid in certain cases of
cerebral palsy around the world. They also suggested its abnormal impact
on speech and muscle movement. II. Doctors have found high levels of cerebrospinal fluid in certain cases of
cerebral palsy around the world which suggests the abnormal impact on
speech and muscle movement. III. Having found high levels of cerebrospinal fluid in certain cases of cerebral
palsy around the world, doctors are suggesting abnormal impact on speech
and muscle movement. IV. Having found high levels of cerebrospinal fluid in certain cases of cerebral
palsy around the world, doctors suggested its abnormal impact on speech
and muscle movement.
a.
I
b.
II
c.
III
d.
IV
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In a cricket match amongst 7 friends, named P1 – P7, P1 scored maximum individual runs of 25 and P7 scored minimum individual run of 0. No two friends had the same score. The median and average runs scored were 15 and 12.57, not necessarily in that order. Two players, P2 and P3, who scored more than median but less than maximum, scored less than 40 runs together. One player scored double the sum of non-zero scores of two players. What could be the possible value(s) of the second highest score?
a.
18
b.
20
c.
21
d.
22
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A police station has six personnel comprising an inspector (I) and five constables $(C$ 1, $C$ 2, $C$ 3, $C$ 4, $C$ 5). Normally, a ‘raid team’ of two, three, or four members is formed depending upon the nature of the raid. As per rule, it is mandatory that the inspector is part of raid team. Number of distinct raid teams that can be formed is __________________. (Answer in integer)
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A man visits four relatives on a day. He purchases some sweets and gives a part of it to the first relative. Next, he purchases the same number of sweets he is left with after he visited his first relative. He repeats this process while visiting his other relatives. Finally, he gives all the sweets to his fourth relative. It is known that he gives equal number of sweets to all the relatives and is left with no sweets after the fourth relative. Assuming that he initially purchased more than 20 sweets, the minimum number of sweets he gave to each relative is _______________. (Answer in integer)
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Which school of classical Indian philosophy asserts the following? 1. It is fallacious to take any knowledge claim (jñāna) as absolute. 2. To recognize that all knowledge claims are contextually and partially true
does not lead to skepticism.
a.
Jainism
b.
Buddhism
c.
Cārvāka
d.
Nyāya
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“The necessary connection between cause and effect is the foundation of our inference from one to the other. The foundation of our inference is the transition arising from accustomed union.” – David Hume Which one of the following claims is an accurate expression of Hume’s view on causal necessity?
a.
The idea of causal necessity is innate.
b.
The essence of causal necessity lies in the human propensity to pass from an object to the idea of its cause.
c.
Causal necessity exists in the object.
d.
Causal efficacy lies in the causes themselves.
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Rohit is a 25-year old software engineer with a happy family and a stable job. One day Rohit realises that this may all be an illusion – he could simply be a “brain in a vat” hooked up to electrodes which simulate an external reality. Whether or not he is actually a brain in a vat, his sensory experiences would be the same. Therefore, he does not know that he is a 25-year old software engineer with a happy family and a stable job. Which one of the following philosophers is most closely associated with an argument of this kind?
a.
Rene Descartes
b.
Bertrand Russell
c.
David Hume
d.
Gottlob Frege
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Kant provides a famous refutation of an ontological argument for the existence of God of the kind provided by St. Anselm. Which one of the following statements appears as a premise in this refutation?
a.
God’s non-existence is impossible.
b.
Existence is not a real predicate.
c.
Existence precedes essence.
d.
Suicide is immoral.
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“Desire, cognition etc. are qualities that necessarily require a substance and therefore individually constitute the necessary mark or sign of substance, which could then be identified as soul.” Which one of the following classical Indian thinkers has made this argument?
a.
Īśvarakṛṣṇa
b.
Nāgārjuna
c.
Umāsvāmī
d.
Gotama
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Consider the sentence ‘there is no cat on the mat’. Which one of the following schools of classical Indian philosophy would regard this as tantamount to saying ‘this is a bare mat’?
a.
Vaiśeṣika
b.
Prābhākara Mīmāṃsā
c.
Nyāya
d.
Sāṅkhya
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“When somebody utters the word ‘table’, we understand its meaning through a process of exclusion of everything else in the universe of discourse except ‘table’.” Who among the following classical Indian philosophers could be credited with such reasoning?
a.
Mallisena (Jainism)
b.
Diṅnāga (Buddhism)
c.
Kaṇāda (Vaiśeṣika)
d.
Jayarāśi (Cārvāka)
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According to Mūlamadhyamakakārikā, “Those who do not know the distinction between the two truths cannot understand the profound nature of the Buddha’s teaching”. Which combination of the following claims is correct in this connection? (i) The teachings of the Buddha can be subsumed into the two truths. (ii) The two truths are wisdom and compassion. (iii) The two truths are the ultimate truth and the conventional truth. (iv) The conceptual knowledge of the two truths is enough for Enlightenment.
a.
(i), (iii) and (iv)
b.
(i), (ii) and (iii)
c.
only (i) and (iii)
d.
only (i) and (iv)
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“The consumption of alcohol is a purely private matter. As long as it doesn’t have adverse effects on third parties, and it is consumed by competent adults, the State should not prohibit it”. Which one of the following principles does this argument illustrate most closely?
a.
Mill’s Harm Principle
b.
Aristotle’s Golden Mean
c.
Kant’s Categorical Imperative
d.
Gandhi’s Principle of Non-violence
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“From the torment by threefold misery arises the enquiry into the means of terminating it, if it be said that it is fruitless, the means being obvious to us, we reply no, since in such means there is no certainty or finality”. Which one of the following texts of Classical Indian Philosophy contains this verse?
a.
Mūlamadhyamakakārikā
b.
Nyāyasūtra
c.
Sāṅkhyakārikā
d.
Tattvopaplavasiṃha
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Utilitarianism is the view that right actions are those which produce the greatest overall good. Which one of the following objections to utilitarianism is made by John Rawls in A Theory of Justice?
a.
Utilitarianism makes it difficult to account for the moral force of promises.
b.
Utilitarianism demands too much from its followers.
c.
Utilitarianism ignores the separateness of persons.
d.
Utilitarianism cannot account for the suffering of animals.
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Which one of the following considerations leads Socrates, in Plato’s Republic, to introduce the analogy between the city and the individual?
a.
To understand the nature of justice in the individual, it is helpful to first understand the nature of justice in the city, since justice in the city will be easier to recognize because of its larger scale.
b.
To understand the nature of justice in the city, it is helpful to first understand the nature of justice in the individual, since justice in the individual will be easier to recognize because of its smaller scale.
c.
Justice in individuals is only possible if they live in a city.
d.
Justice involves a social contract between individuals and a city.
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A person has a plan to climb a hill to reach the hilltop. She observes that there is a sudden rise in the water level in the stream coming down from the hill. From this she concludes that it must be raining heavily on the hilltop. Therefore, she should postpone her expedition to some later time. Which one or more of the following kinds of inference does this person’s reasoning involve as per the Nyāya view?
a.
Svārtha Anumāna
b.
Sāmānyatodṛṣṭa Anumāna
c.
Śeṣavat Anumāna
d.
Pūrvavat Anumāna
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Robert Nozick proposes an ‘entitlement’ theory of justice in Anarchy, State, and Utopia. Which of the following principles is/are part of Nozick’s entitlement theory?
a.
A principle of justice in acquisition of holdings
b.
A principle against epistemic injustice
c.
A principle of justice in transfer of holdings
d.
A principle of justice in legal representation
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