आप शुद्ध हृदय से इस बात पर विचार करें कि माता, मातृभूमि और मातृभाषा का आप पर भी ऋण है। एक जननी आपको जन्म देती है, एक की गोद में खेल-कूद कर और खा-पीकर आप पुष्ट होते हैं और एक आपको अपने भावों को प्रकट करने की शक्ति दे, आपके सांसारिक जीवन को सुखमय बनाती है जिसका आप पर इतना उपकार है, इसके लिए कुछ करना क्या आपका परम कर्तव्य नहीं है?
उपर्युक्त गद्यांश का उचित शीर्षक है-
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Answer: (B) मातृश्रण
Explanation
The passage focuses on the debt (rin) of the mother, motherland, and mother tongue on an individual, and the duty to repay it. Thus, Matri-rin (typographed as Matrishran in the options) is the most appropriate title for this text.
2Reading Comprehension
आप शुद्ध हृदय से इस बात पर विचार करें कि माता, मातृभूमि और मातृभाषा का आप पर भी ऋण है। एक जननी आपको जन्म देती है, एक की गोद में खेल-कूद कर और खा-पीकर आप पुष्ट होते हैं और एक आपको अपने भावों को प्रकट करने की शक्ति दे, आपके सांसारिक जीवन को सुखमय बनाती है जिसका आप पर इतना उपकार है, इसके लिए कुछ करना क्या आपका परम कर्तव्य नहीं है?
उपर्युक्त गद्यांश में जिनका ऋण बताया गया है, उन्हें एक शब्द में लिखिए।
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Answer: (C) मातृ
Explanation
The passage highlights the debt of mata (mother), matribhumi (motherland), and matribhasha (mother tongue). The single word that represents the common element of all three is matri, making option C the correct choice.
3Reading Comprehension
आप शुद्ध हृदय से इस बात पर विचार करें कि माता, मातृभूमि और मातृभाषा का आप पर भी ऋण है। एक जननी आपको जन्म देती है, एक की गोद में खेल-कूद कर और खा-पीकर आप पुष्ट होते हैं और एक आपको अपने भावों को प्रकट करने की शक्ति दे, आपके सांसारिक जीवन को सुखमय बनाती है जिसका आप पर इतना उपकार है, इसके लिए कुछ करना क्या आपका परम कर्तव्य नहीं है?
उपर्युक्त गद्यांश में 'शुद्ध हृदय से इस बात पर विचार करें' में 'शुद्ध' क्या है?
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Answer: (A) विशेषण
Explanation
In the phrase 'शुद्ध हृदय', the word 'हृदय' is a noun and 'शुद्ध' describes its quality. Therefore, 'शुद्ध' is a qualitative adjective, which is known as 'विशेषण' in Hindi grammar.
4Reading Comprehension
आप शुद्ध हृदय से इस बात पर विचार करें कि माता, मातृभूमि और मातृभाषा का आप पर भी ऋण है। एक जननी आपको जन्म देती है, एक की गोद में खेल-कूद कर और खा-पीकर आप पुष्ट होते हैं और एक आपको अपने भावों को प्रकट करने की शक्ति दे, आपके सांसारिक जीवन को सुखमय बनाती है जिसका आप पर इतना उपकार है, इसके लिए कुछ करना क्या आपका परम कर्तव्य नहीं है?
उपर्युक्त गद्यांश में किस जीवन को सुखमय बनाने का उल्लेख हुआ है?
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Answer: (B) सांसारिक
Explanation
The given passage explicitly states that one of the mothers (mother tongue) gives you the power to express your feelings and makes your worldly life (सांसारिक जीवन) happy. Therefore, the option corresponding to सांसारिक (B) is the correct answer.
5Reading Comprehension
आप शुद्ध हृदय से इस बात पर विचार करें कि माता, मातृभूमि और मातृभाषा का आप पर भी ऋण है। एक जननी आपको जन्म देती है, एक की गोद में खेल-कूद कर और खा-पीकर आप पुष्ट होते हैं और एक आपको अपने भावों को प्रकट करने की शक्ति दे, आपके सांसारिक जीवन को सुखमय बनाती है जिसका आप पर इतना उपकार है, इसके लिए कुछ करना क्या आपका परम कर्तव्य नहीं है?
उपर्युक्त गद्यांश में भाव प्रकटीकरण की शक्ति किसके द्वारा प्राप्त होती है?
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Answer: (C) मातृभाषा
Explanation
The passage clearly associates the power of expressing emotions (अपने भावों को प्रकट करने की शक्ति) with the third entity mentioned, which is the mother tongue (मातृभाषा). Thus, the correct option is C.
6Reading Comprehension
आप शुद्ध हृदय से इस बात पर विचार करें कि माता, मातृभूमि और मातृभाषा का आप पर भी ऋण है। एक जननी आपको जन्म देती है, एक की गोद में खेल-कूद कर और खा-पीकर आप पुष्ट होते हैं और एक आपको अपने भावों को प्रकट करने की शक्ति दे, आपके सांसारिक जीवन को सुखमय बनाती है जिसका आप पर इतना उपकार है, इसके लिए कुछ करना क्या आपका परम कर्तव्य नहीं है?
उपर्युक्त गद्यांश के अनुसार खेल-कूद कर और खा-पीकर किसकी गोद में पुष्ट होते हैं?
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Answer: (D) मातृभूमि
Explanation
According to the given passage, the three entities mentioned are mother (जननी), motherland (मातृभूमि), and mother tongue (मातृभाषा). The passage states that one (the mother) gives us birth, in the lap of one (the motherland) we grow strong by playing, eating, and drinking, and one (the mother tongue) gives us the power to express our feelings. Thus, we grow strong in the lap of the motherland (मातृभूमि).
7Decision Making
Which of the following is not related to non-verbal communication?
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Answer: (B) Conversation
Explanation
Non-verbal communication involves conveying messages without the use of words, which includes body language, facial expressions, and symbols. Conversation, on the other hand, relies on spoken or written words and is therefore classified as verbal communication.
8Reading Comprehension
One, who believes that all things and events of life are pre-determined, is a
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Answer: (A) Fatalist
Explanation
A fatalist is a person who believes that all events are predetermined by fate and are therefore inevitable. This aligns perfectly with the definition given in the question.
9Logical Reasoning
Statements: All books are leaves. Some leaves are jungles. No jungle is a box
Conclusions:
I. Some jungles are books
II. No book is a box
III. Some leaves are boxes
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Answer: (D) None follows
Explanation
Based on the rules of syllogism, books and jungles do not have a guaranteed overlap, books and boxes can potentially intersect, and there is no definite relation that forces leaves and boxes to overlap. Therefore, none of the three conclusions definitely follow from the given statements.
10Logical Reasoning
I. Both (A) and (R) are true and (R) is the correct explanation of (A)
II. Both (A) and (R) are true, but (R) is not the correct explanation of (A)
III. (A) is true, but (R) is false
IV. (A) is false, but (R) is true
Assertion: Economic justice is concerned with giving all the members of society a fair share
Reason (R): The possible criteria of distribution are equity, equality and need.
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Answer: (A) I
Explanation
Both the assertion and reason are correct, and the reason is the correct explanation of the assertion. Economic justice aims to ensure a fair share for all members of society, and this fairness is defined and achieved through the distributive criteria of equity, equality, and need.
11Logical Reasoning
I. Both (A) and (R) are true and (R) is the correct explanation of (A)
II. Both (A) and (R) are true, but (R) is not the correct explanation of (A)
III. (A) is true, but (R) is false
IV. (A) is false, but (R) is true
Assertion (A) : 'Grapes are sour' attitude is an example of defense mechanism in psychology
Reason (R) : Rationalisation can be used to avoid admitting disappointment
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Answer: (D) I
Explanation
The assertion is true because the 'sour grapes' attitude is a classic example of rationalisation, which is a psychological defense mechanism. The reason is also true and correctly explains the assertion, as rationalisation is used to cope with disappointment by finding logical-sounding reasons to justify a failure or unmet desire.
12Logical Reasoning
I. Both (A) and (R) are true and (R) is the correct explanation of (A)
II. Both (A) and (R) are true, but (R) is not the correct explanation of (A)
III. (A) is true, but (R) is false
IV. (A) is false, but (R) is true
Assertion (A) : India is world's second most populous country.
Reason (R) : The problem of unemployment is increasing with the increase in population in India
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Answer: (B) II
Explanation
Both the assertion and the reason are factually correct statements, as India was the world's second most populous country in 2017 and unemployment has risen alongside population growth. However, the reason does not explain why India holds the position of the second most populous nation, making option II (b) the correct choice.
13Decision Making
I. Both (A) and (R) are true and (R) is the correct explanation of (A)
II. Both (A) and (R) are true, but (R) is not the correct explanation of (A)
III. (A) is true, but (R) is false
IV. (A) is false, but (R) is true
Assertion (A) : There is no difference between 'policy making' and 'decision making'.
Reason/ (R) : Policy refers to the formulation of a particular plan or course of action by the government or an organization
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Answer: (D) IV
Explanation
Assertion (A) is false because there is a distinct difference between policy making, which represents a broad guide to action, and decision making, which is a specific choice between alternatives. Reason (R) is true as it correctly defines what a policy is. Since Assertion (A) is false and Reason (R) is true, option d (corresponding to statement IV) is correct.
14Logical Reasoning
I. Both (A) and (R) are true and (R) is the correct explanation of (A)
II. Both (A) and (R) are true, but (R) is not the correct explanation of (A)
III. (A) is true, but (R) is false
IV. (A) is false, but (R) is true
Assertion (A) : The training in the competition period aims at achieving and maintaining top form
Reason/ (R) : Top form once achieved can last for a prolonged period of time.
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Answer: (C) III
Explanation
The Assertion is true because the main objective of the competition period in athletic training is to help the athlete achieve and maintain their peak or top form. The Reason is false because top form is highly temporary and cannot be maintained for a prolonged period of time due to physiological limits and the onset of fatigue.
15Logical Reasoning
I. Both (A) and (R) are true and (R) is the correct explanation of (A)
II. Both (A) and (R) are true, but (R) is not the correct explanation of (A)
III. (A) is true, but (R) is false
IV. (A) is false, but (R) is true
Assertion (A) : The rate of migration from the hilly areas of Uttarakhand has increased after it was formed in the year 2000.
Reason (R) : Migration leads to abandonment of villages which causes degradation of land.
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Answer: (B) II
Explanation
Both Assertion (A) and Reason (R) are correct, as out-migration from the hilly areas of Uttarakhand has increased since 2000, and this migration has led to the abandonment of villages and subsequent land degradation due to neglected terrace farms. However, the consequence of migration described in the Reason does not explain the causes behind the increased rate of migration mentioned in the Assertion, making option II (b) the correct choice.
16Logical Reasoning
Statements : All scientists are fools.
All fools are illiterate.
Conclusions:
I. All scientists are illiterate.
II. All illiterates are scientists.
III. All illiterates are fools
IV. Some illiterates would be scientists
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Answer: (A) Only I and IV follow
Explanation
Based on the premises, the set of scientists is a subset of fools, which in turn is a subset of illiterates, meaning all scientists are illiterate (Conclusion I follows). Consequently, it must also be true that some illiterates are scientists (Conclusion IV follows), making option a the correct choice.
17Logical Reasoning
Statement: "Use 'Riya' cold cream for fair complexion" - An advertisement.
Assumptions:
I. People like to use cream for fair complexion.
II. People are easily fooled.
III. People respond to advertisements.
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Answer: (C) Only I and III are implicit
Explanation
The advertisement assumes that there is a demand among people to use creams for a fair complexion, making Assumption I implicit. It also relies on the fundamental premise that the target audience responds to advertisements, making Assumption III implicit. Assumption II is an unwarranted generalization and is not implicit in the statement.
18Logical Reasoning
Statement: Children are influenced more by their teachers now-a-days
Assumptions:
I. Children consider their teachers as their models
II. Children's most of the time is spent in schools
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Answer: (A) Only I is implicit
Explanation
Assumption I is implicit because children being influenced by their teachers suggests that they consider them as role models to be emulated. Assumption II is not implicit because the degree of influence is not directly dependent on spending the majority of one's time in school.
19Decision Making
You are in a bus. The bus reaches your stop but still you have not purchased the ticket because of heavy rush. What will you do ?
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Answer: (B) Call the conductor, give him the money and get the ticket
Explanation
The most responsible and honest course of action is to directly call the conductor, pay the fare, and obtain the ticket before alighting from the bus. This ensures that you do not travel without a ticket while fulfilling your civic duty in a transparent manner.
20Decision Making
You are Superintendent of Police of an area. You are going for a very urgent work. On way to your work, you come across a person who is grievously injured. What will you do ?
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Answer: (D) Hire a taxi, send him to the hospital and then proceed to your destination
Explanation
Hiring a taxi to send the injured person to the hospital ensures they receive immediate medical attention without delay, while also allowing the Superintendent of Police to proceed to their urgent work. This balances humanitarian duty with professional responsibility efficiently.
21Quantitative Aptitude
In answering a quiz, 'no' counts -1 , 'yes' counts +1 and 'don't know' 0 (zero). What is the average value of 5 no's, 15 yes's and 5 don't know's?
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Answer: (B) 0.4
Explanation
The total score is calculated by multiplying the frequency of each response by its corresponding value: (5 * -1) + (15 * 1) + (5 * 0) = 10. The total number of responses is 25 (5 + 15 + 5). Dividing the total score by the total number of responses gives the average: 10 / 25 = 0.4.
22Logical Reasoning
Choose the one from the following which is different from the other according to some rule?
Copper, Zinc, Brass, Iron
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Answer: (D) Brass
Explanation
Brass is an alloy consisting mainly of copper and zinc, whereas copper, zinc, and iron are all pure chemical elements. Therefore, brass is the odd one out.
23Logical Reasoning
Which word can be formed from the letters of the following word?
VENTURESOME
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Answer: (C) SERMON
Explanation
The word SERMON can be formed from VENTURESOME because all its letters (S, E, R, M, O, N) are present in the original word. The other options require letters that are either missing or present in insufficient quantities in VENTURESOME.
24Logical Reasoning
F is the brother of A.C is the daughter of A.K is the sister of F.G is the brother of C. Who is the uncle of G?
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Answer: (C) F
Explanation
F is the uncle of G because G and C are siblings, their parent is A, and F is the brother of A. Since F is the male sibling of G's parent, he is G's uncle.
25Logical Reasoning
The angle between the minute hand and the hour hand of a clock when the time is 4:20 is
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Answer: (B) 10⁰
Explanation
At 4:20, the minute hand is exactly at the 4 o'clock position (120 degrees), while the hour hand has moved further by 10 degrees (20 minutes multiplied by 0.5 degrees per minute). The angle between the two hands is therefore the difference, which is 10 degrees.
26Logical Reasoning
In a Queue, A is eighteenth from the front while B is sixteenth from the end. If C is twenty-fifth from the front and is exactly is the middle of A and B, then how many persons are there in the queue?
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Answer: (A) 47
Explanation
Since A is 18th from the front and C is 25th from the front, there are 6 people between A and C. Since C is exactly in the middle of A and B, there must also be 6 people between C and B, making B 32nd from the front. Since B is 16th from the end, the total number of people in the queue is 32 + 16 - 1 = 47.
27Logical Reasoning
If in a certain code 'DOWN' is written as '3 @ 9# and 'NAME' is written as '#6 % 5', how is 'MODE' written in that code?
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Answer: (D) % @ 3 5
Explanation
By comparing the letters of the given words to their codes, we get D = 3, O = @, N = #, A = 6, M = %, and E = 5. Therefore, the code for MODE is % @ 3 5, which corresponds to option d with the percent symbol (%) represented as a superscript 6 due to a typographical error.
28Logical Reasoning
If 8ᵗʰ December, 2007 was Saturday, which day of the week was 8ᵗʰ December, 2006?
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Answer: (B) Friday
Explanation
Since 2007 is a non-leap year, the time gap between 8th December 2006 and 8th December 2007 is exactly 365 days, which contains 1 odd day. Moving backward by 1 day from Saturday gives Friday as the day for 8th December 2006.
29Logical Reasoning
Kittu is in between Mohan and Sohan. Raju is to the left of Sohan and Shyam is to the right of Mohan. If Sohan is sitting to the left of Mohan and all are sitting facing North, then who is on the extreme right?
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Answer: (D) Shyam
Explanation
Based on the given conditions, the seating arrangement of the persons from left to right is Raju, Sohan, Kittu, Mohan, and Shyam. Therefore, Shyam is sitting on the extreme right.
30Logical Reasoning
A man walks 15 m towards South from a fixed point. From there he goes 12m . towards North and then 4m towards West. How far and in which direction is he from the fixed point?
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Answer: (C) 5m South - West
Explanation
The man starts at a fixed point, walks 15 meters South, then backtracks 12 meters North, placing him 3 meters South of the starting point. Walking 4 meters West from there forms a right-angled triangle with sides of 3 meters and 4 meters, resulting in a hypotenuse (distance) of 5 meters in the South-West direction.
31Logical Reasoning
Pointing to a woman in a photograph, a man says, "her mother 's mother is the mother of my father." How is the man related to the woman in photograph?
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Answer: (B) Maternal Cousin
Explanation
The woman's maternal grandmother is the same person as the man's paternal grandmother, which means the woman's mother and the man's father are siblings. Therefore, the man is the maternal cousin (mother's brother's son) of the woman in the photograph.
32Logical Reasoning
Six person P, Q, R, S, T and U are sitting in a circle facing one another. P is sitting in front of Q; Q is sitting to the right of T and left of R; P is sitting to the left of U and right of S. Who is sitting opposite to R?
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Answer: (A) U
Explanation
To find who is sitting opposite to R, we can map the positions of the six people around the circular table facing the center:
P and Q are sitting opposite to each other.
Q is sitting to the right of T and left of R, which places Q between T and R.
P is sitting to the left of U and right of S, which places P between U and S.
This arrangement leaves the opposite pairs as: P-Q, U-R, and S-T.
Thus, U is sitting opposite to R.
33Logical Reasoning
If the following words are arranged in alphabetical order, which word will come in the middle?
Electric, Elector, Elect, Election, Electrode
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Answer: (A) Elector
Explanation
When the given words are arranged in alphabetical order, the sequence is Elect, Election, Elector, Electric, and Electro. The middle word in this sequence of five words is Elector, which corresponds to option a.
34Logical Reasoning
A man is performing yoga with his head down and legs up. His face is towards the west. In which direction will his left hand be?
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Answer: (C) North
Explanation
When a person stands upright facing West, their left hand points South and their right hand points North. When the person performs a headstand (head down, legs up) while still facing West, their body is inverted along the East-West axis. This inversion reverses the left-right directions, meaning the left hand will now point North and the right hand will point South.
35Logical Reasoning
How many meaningful English words can be formed by using the letters of the words 'ALEP'?
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Answer: (D) More than 3
Explanation
The letters A, L, E, and P can be rearranged to form at least four distinct meaningful English words: PALE, LEAP, PLEA, and PEAL. Since this total is four, the correct option is "More than 3".
36Logical Reasoning
A is the brother of B. C is the brother of A. To establish relationship between B and C, which of the following information (s) is (are) required?
(i) Gender of C
(ii) Gender of B
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Answer: (D) Only (ii)
Explanation
To establish the relationship between B and C, we need to know the gender of B. Since it is already given that C is the brother of A, we already know C is male and thus C is the brother of B, but to know if B is the brother or sister of C, the gender of B is required.
37Logical Reasoning
Arrange the following words in a logical and meaningful order :
1. Poverty
2. Population
3. Death
4. Unemployment
5. Diseases
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Answer: (B) 2, 4, 1, 5, 3
Explanation
The correct logical sequence follows a cause-and-effect relationship where an increase in Population (2) leads to Unemployment (4), which causes Poverty (1). Poverty then leads to Diseases (5), which ultimately results in Death (3).
38Logical Reasoning
Aarti is older than Saumya. Muskan is elder to Aarti but younger than Kashish. Kashish is older than Saumya. Saumya is younger than Muskan. Gargi is the eldest. Who is the youngest ?
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Answer: (A) Saumya
Explanation
By analyzing the age relations, Gargi is the eldest, followed by Kashish, Muskan, Aarti, and finally Saumya who is the youngest. Therefore, Saumya is the youngest among all of them.
39Quantitative Aptitude
Two words are given : NOT and TONE. These words represent some numbers, if we add them, we get the number 9000 i.e.
NOT +TONE = 9000
Which number will be represented by the word NET?
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Answer: (D) 628
Explanation
By setting up the addition TONE + NOT = 9000, we find that the thousands digit T must be 8 because T + 1 = 9 (with a carryover of 1). Consequently, in the units column, T + E = 10 gives 8 + E = 10, so E = 2. The number representing NET must end with the digits 2 and 8, which uniquely matches 628 (where N = 6, E = 2, and T = 8).
40Quantitative Aptitude
Free note books were distributed equally among children. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks each. How many notebooks were distributed in total?
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Answer: (C) 512
Explanation
Let the number of children be N. The number of notebooks each child received is N/8, making the total number of notebooks N^2/8. If the number of children were halved to N/2, each would get 16 notebooks, meaning the total notebooks would be 16 * (N/2) = 8N. Equating the two expressions for the total notebooks gives N^2/8 = 8N, which solves to N = 64, and the total number of notebooks is 512.
41Logical Reasoning
A told B, 'Yesterday I met the only brother of the daughters of my daughters of my paternal grand mother.'
Whom did A meet?
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Answer: (D) Father
Explanation
The phrase "daughters of my paternal grandmother" refers to A's father's sisters (A's aunts). The only brother of these sisters is A's father. Therefore, A met his/her father.
42Logical Reasoning
In a certain code language 'PARENTS' is written as 'RCTGPVU'. How will 'CHILDREN' be written in the same code language?
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Answer: (B) EJKNFTGP
Explanation
The coding pattern adds 2 to the alphabetical position of each letter in the word. Applying this rule to the word CHILDREN (C+2=E, H+2=J, I+2=K, L+2=N, D+2=F, R+2=T, E+2=G, N+2=P) gives the code EJKNFTGP.
43Logical Reasoning
Choose the set of numbers among the following sets, which is similar to the set (12, 20, 60)?
(8, 12, 24), (15, 12, 90), (7, 11, 75), (6, 16, 90)
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Answer: (A) (8, 12, 24)
Explanation
The relation in the given set (12, 20, 60) is that the third number is the least common multiple (LCM) of the first two numbers, i.e., LCM(12, 20) = 60. Following the same logic, the LCM of 8 and 12 is 24, which matches the set (8, 12, 24).
44Logical Reasoning
Find the missing term in the following series :
C1L, F4O, I9R, L16U, ?
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Answer: (B) O25X
Explanation
The series consists of three patterns: the first letter increases by 3 positions in the alphabet (C, F, I, L, O), the number is the square of consecutive integers (1, 4, 9, 16, 25), and the last letter also increases by 3 positions in the alphabet (L, O, R, U, X). Combining these gives the missing term as O25X.
45Logical Reasoning
Find the missing term (?) in the following series :
1, 1, 3, 9, 6, 36, 10, 100, ?, 225
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Answer: (D) 15
Explanation
The given series can be grouped into pairs where the second term is the square of the first term: (1, 1), (3, 9), (6, 36), (10, 100), and (?, 225). The first numbers of these pairs (1, 3, 6, 10, ?) follow a pattern of increasing differences (+2, +3, +4, +5), which gives 15 as the next number, and its square is 225.
46Logical Reasoning
Find the missing number in the following series :
3624, 4363, 3644, 4563, 3664, ?
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Answer: (C) 4763
Explanation
The series consists of two alternating sequences. The terms in the odd positions (3624, 3644, 3664) increase by 20, while the terms in the even positions (4363, 4563, ...) increase by 200. Thus, the missing number is 4563 + 200 = 4763.
47Quantitative Aptitude
The area of the largest circle which can be drawn inside a rectangle with sides 18 cms and 14 cms, is :
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Answer: (B) 154cm²
Explanation
The largest circle that can be drawn inside a rectangle of dimensions 18 cm by 14 cm must have its diameter equal to the shorter side of the rectangle, which is 14 cm. Therefore, the radius of the circle is 7 cm, and its area is pi * r^2 = (22/7) * 7 * 7 = 154 cm^2.
48Quantitative Aptitude
A man in a train notices that he can count 21 telephone posts in one minute. If every two adjacent posts are 50 meters apart, at what speed is the train moving?
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Answer: (C) 60km / hr
Explanation
To count 21 posts, the train must cover the distance of 20 gaps between them. Since the distance between two adjacent posts is 50 meters, the total distance covered in 1 minute is 20 multiplied by 50, which equals 1000 meters (or 1 km). Covering 1 km in 1 minute translates to a speed of 60 km/hr.
49Quantitative Aptitude
The following table gives the number of persons with different incomes in a country in a certain year.
| Income (in thousand units) | 0-1 | 1-2 | 2-3 | 3-5 |
| -------------------------- | --: | --: | --: | --: |
| No. of persons (in lakhs) | 13 | 90 | 81 | 117 |
What is the average income per head (in thousand units)?
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Answer: (B) 2.69
Explanation
To find the average income per head, we calculate the sum of the products of the midpoints of each income interval and the number of persons in that interval, then divide by the total number of persons. The midpoints for the intervals 0-1, 1-2, 2-3, and 3-5 are 0.5, 1.5, 2.5, and 4.0 respectively. The total income is (13 * 0.5) + (90 * 1.5) + (81 * 2.5) + (117 * 4.0) = 812 lakh thousand units, and the total population is 13 + 90 + 81 + 117 = 301 lakhs, yielding an average income of approximately 2.69 thousand units.
50Quantitative Aptitude
An inspector rejects 0.08% of the metres as defective. How many will be examined to reject 2 metres?
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Answer: (C) 2500
Explanation
Let the total number of metres examined be x. Since 0.08% of x is rejected, we can set up the equation (0.08/100) * x = 2, which simplifies to x = 200 / 0.08 = 2500. Therefore, 2500 metres must be examined to reject 2 metres.
51Quantitative Aptitude
The ratio of the volume of a cube to that of the biggest sphere which will fit inside the cube is
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Answer: (D) 6:π
Explanation
The side of the cube is equal to the diameter of the largest sphere that fits inside it. If the side of the cube is a, then the radius of the sphere is a/2. The ratio of the volume of the cube to the volume of the sphere is a^3 to (4/3)pi(a/2)^3, which simplifies to 6:pi.
52Quantitative Aptitude
What is the ratio of the areas of inscribed and circumscribed circles of a square?
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Answer: (A) 1:2
Explanation
The radius of the inscribed circle of a square of side s is s/2, while the radius of the circumscribed circle is s divided by the square root of 2. Squaring these radii to find the ratio of their areas gives (s/2)^2 to (s/sqrt(2))^2, which simplifies to 1:2.
53Quantitative Aptitude
If x + y + z = 13 , then what is the maximum value of (x - 2)(y + 1)(z - 3) ?
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Answer: (D) 27
Explanation
By substituting variables such that a = x - 2, b = y + 1, and c = z - 3, we get the sum a + b + c = (x + y + z) - 4 = 13 - 4 = 9. According to the AM-GM inequality, the product of these variables is maximized when they are all equal, so a = b = c = 9/3 = 3, which gives a maximum product of 3 * 3 * 3 = 27.
54Quantitative Aptitude
The sum of seven consecutive natural numbers is 1617. How many of these are prime numbers?
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Answer: (B) 2
Explanation
The middle number of the seven consecutive natural numbers is 1617 divided by 7, which is 231. The seven consecutive numbers are 228, 229, 230, 231, 232, 233, and 234, among which only 229 and 233 are prime numbers.
55Quantitative Aptitude
If (p)/(q) = ³⁄₁₁ then (22p - 34q)/(33p - 3q) is equal to
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Answer: (D) -14 / 3
Explanation
By substituting p = 3 and q = 11 into the expression, the numerator becomes 22(3) - 34(11) = -308 and the denominator becomes 33(3) - 3(11) = 66. Simplifying the fraction -308/66 by dividing both the numerator and denominator by 22 yields -14/3.
56Logical Reasoning
In an imaginary language, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are substituted by a, b, c, d, e, f, g, h, i, j. If 10 is written as ba, then the value of [dc × f - (bf - d) × d] is equal to
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Answer: (B) bce
Explanation
Using the given substitution where a=0, b=1, c=2, d=3, e=4, and f=5, the expression [dc x f - (bf - d) x d] translates to [32 x 5 - (15 - 3) x 3]. Calculating this gives 160 - 36 = 124, which translates back to bce.
57Quantitative Aptitude
How many times 2 will appear in the prime factorization of the product 1× 2× 3× 4× … × 50?
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Answer: (A) 47
Explanation
The number of times the prime number 2 appears in the prime factorization of 50! can be found using Legendre's formula. Calculating the sum of the integer parts of 50 divided by successive powers of 2 gives 25 + 12 + 6 + 3 + 1 = 47.
58Quantitative Aptitude
A batsman in his 20ᵗʰ innings makes a score of 110 and thereby increases his average by 4. What is his average after 20ᵗʰ innings ?
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Answer: (B) 34
Explanation
Let the batsman's average before the 20th innings be x. The total runs after 20 innings can be represented by the equation 19x + 110 = 20(x + 4), which solves to x = 30. Therefore, his average after the 20th innings is 30 + 4 = 34.
59Logical Reasoning
Which among the following :
1. ×, =, ÷ 2. =, ÷, × 3. =, ×, ÷ 4. ÷, =, ×
Appropriately replaces *, ⊕ and ⊙ respectively
in 90*6⊕ 8⊙ 2?
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Answer: (D) 4
Explanation
By choosing option 4 (+, =, x) to replace *, ⊕, and ⊙ respectively in the expression 90 * 6 ⊕ 8 ⊙ 12 (where the last number 12 is printed as 2), we get 90 + 6 = 8 x 12, which simplifies to the correct mathematical identity 96 = 96.
60Quantitative Aptitude
Two pipes can fill a tank in 10 hours and 12 hours respectively while the third pipe empties the tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tank be filled ?
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Answer: (A) 7 hours 30 minutes
Explanation
The combined rate of the three pipes working together is 1/10 + 1/12 - 1/20 = 8/60 = 2/15 of the tank per hour. Therefore, the time taken to fill the entire tank is 15/2 hours, which is equivalent to 7 hours and 30 minutes.
61Quantitative Aptitude
The difference between yearly simple interest and compound interest reckoned half yearly on Rs 1,200 for one year at 10% per annum is
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Answer: (B) Rs 3.00
Explanation
The simple interest on 1200 for 1 year at 10% per annum is 120. When compounded half-yearly, the rate is 5% per half-year for 2 periods, giving a compound interest of 123. The difference between the compound interest and simple interest is 3.00.
62Quantitative Aptitude
A motorboat whose speed in still water is 15km / hr , goes 30km downstream and comes back in 4hrs and 30minutes . The speed of the stream (in km / hr ) is
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Answer: (C) 5
Explanation
The time equation for the round trip is 30/(15 + s) + 30/(15 - s) = 4.5, where s is the speed of the stream. Substituting s = 5 from the options gives 30/20 + 30/10 = 1.5 + 3 = 4.5 hours, which perfectly satisfies the given condition.
63Quantitative Aptitude
The digit at unit place of 17¹⁷ is
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Answer: (C) 7
Explanation
The unit digit of 17^17 is determined by the unit digit of 7^17. Since the cyclicity of the unit digit of 7 is 4 (7, 9, 3, 1), dividing the exponent 17 by 4 leaves a remainder of 1, which corresponds to the unit digit 7.
64Quantitative Aptitude
The digit '3' can be written in 3 ways as follows : 3 = 2 + 1 = 1 + 1 + 1
(order of addition of numbers is not important)
According to the above, in how many ways 5 can be written using digits less than or equal to 5 ?
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Answer: (B) 7
Explanation
The problem asks for the number of ways the number 5 can be written as a sum of positive integers less than or equal to 5, where the order of addition does not matter. This is the definition of the partition function of 5, p(5). The 7 partitions of 5 are: 5, 4+1, 3+2, 3+1+1, 2+2+1, 2+1+1+1, and 1+1+1+1+1.
65Quantitative Aptitude
'Zero' is
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Answer: (A) An even integer
Explanation
Zero is divisible by 2 with no remainder, which fits the mathematical definition of an even integer of the form 2k, where k is an integer. Therefore, zero is classified as an even integer.
66Quantitative Aptitude
The following data shows the sales of books (in thousands) in five branches of a publishing house in two years 2014 and 2015 :
| year/वर्ष | B₁ | B₂ | B₃ | B₄ | B₅ |
|-----------|----|----|----|----|----|
| 2014 | 68 | 87 | 90 | 63 | 52 |
| 2015 | 72 | 73 | 100 | 77 | 78 |
What is the average sales of books (in thousands) of the publishing house through these branches in the year 2014 ?
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Answer: (B) 72
Explanation
To find the average sales of books in the year 2014, we sum the sales of all five branches for that year (68 + 87 + 90 + 63 + 52 = 360) and then divide by the number of branches (5). This gives 360 / 5 = 72 thousand books.
67Quantitative Aptitude
The following data shows the sales of books (in thousands) in five branches of a publishing house in two years 2014 and 2015 :
| year/वर्ष | B₁ | B₂ | B₃ | B₄ | B₅ |
|-----------|----|----|----|----|----|
| 2014 | 68 | 87 | 90 | 63 | 52 |
| 2015 | 72 | 73 | 100 | 77 | 78 |
In which branch of the publishing house, the difference between the sales of books (in thousands) in two years, is maximum ?
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Answer: (D) B5
Explanation
To find the branch with the maximum difference in sales between 2014 and 2015, we calculate the absolute difference for each branch: B1 is 4, B2 is 14, B3 is 10, B4 is 14, and B5 is 26. Since 26 is the largest value, branch B5 has the maximum difference in sales.
68Quantitative Aptitude
The following data shows the sales of books (in thousands) in five branches of a publishing house in two years 2014 and 2015 :
| year/वर्ष | B₁ | B₂ | B₃ | B₄ | B₅ |
|-----------|----|----|----|----|----|
| 2014 | 68 | 87 | 90 | 63 | 52 |
| 2015 | 72 | 73 | 100 | 77 | 78 |
Total sales of the branch B3 for both years is what percent of total sales of all the branches for both the years ?
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Answer: (A) 25%)
Explanation
The total sales of branch B3 for both years is 90 + 100 = 190. The total sales of all branches for both years is (68 + 87 + 90 + 63 + 52) + (72 + 73 + 100 + 77 + 78) = 360 + 400 = 760. Thus, the required percentage is (190 / 760) * 100 = 25%.
69Quantitative Aptitude
The nearest coming year, which will be a perfect square is
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Answer: (C) 2025
Explanation
The nearest coming year after 2017 that is a perfect square is 2025, which is the square of 45. The other options, 2018, 2020, and 2032, are not perfect squares.
70Quantitative Aptitude
The number of multiples of 7 from 123 to 321 is
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Answer: (D) 28
Explanation
The first multiple of 7 after 123 is 126 (which is 7 multiplied by 18) and the last multiple of 7 before 321 is 315 (which is 7 multiplied by 45). The number of terms in this arithmetic progression is given by (45 - 18) + 1, which equals 28.
71Quantitative Aptitude
The average of 10 numbers was found to be 15. Later it was found that one number 36 was wrongly copied as 26. Correct average is
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Answer: (C) 16
Explanation
The difference between the correct number (36) and the incorrectly copied number (26) is 10. This increases the total sum of the 10 numbers by 10, which increases the average by 10/10 = 1. Thus, the correct average is 15 + 1 = 16.
72Quantitative Aptitude
If A + B = 2C and C + D = 2A , then
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Answer: (B) A + C = B + D
Explanation
By rearranging the given equations, we get B = 2C - A and D = 2A - C. Adding these two expressions yields B + D = (2C - A) + (2A - C), which simplifies directly to B + D = A + C.
73Quantitative Aptitude
If a = √3 +1 , then value of a⁴ + (16)/(a⁴) is
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Answer: (D) 56
Explanation
Given a = sqrt(3) + 1, we can rationalize 2/a to get sqrt(3) - 1. Adding these gives a + 2/a = 2*sqrt(3). Squaring both sides yields a^2 + 4/(a^2) = 8, and squaring once more gives a^4 + 16/(a^4) = 56.
74Quantitative Aptitude
How many numbers between 950 and 1050 leave a remainder of 6 when divided by 7, 8 and 14?
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Answer: (D) None of these
Explanation
The numbers that leave a remainder of 6 when divided by 7, 8, and 14 must be of the form 56k + 6, where 56 is the LCM of 7, 8, and 14. Within the range of 950 to 1050, the only such numbers are 958 (for k = 17) and 1014 (for k = 18). Since there are exactly 2 such numbers, and 2 is not among the choices (1, 3, or 4), the correct option is "None of these".
75Quantitative Aptitude
The number of prime factors in 6¹⁸ × 7¹¹ × 9¹³ is–
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Answer: (A) 73
Explanation
To find the number of prime factors, express the base numbers as products of their prime factors: 6 = 2 x 3, 7 is already prime, and 9 = 3^2. Substituting these back, the expression becomes (2 x 3)^18 x 7^11 x (3^2)^13, which simplifies to 2^18 x 3^44 x 7^11. Summing the exponents of these prime bases gives 18 + 44 + 11 = 73.
76Logical Reasoning
If 84 ⊕ 72 = 45 and 63 ⊕ 41 = 33, then the value of 94 ⊕ 82 is–
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Answer: (A) 56
Explanation
The pattern in the operation is to find the difference between the tens digit and units digit of each number, and then combine these differences side-by-side. For 84 and 72, the differences are (8 - 4) = 4 and (7 - 2) = 5, which combine to 45. For 94 and 82, the differences are (9 - 4) = 5 and (8 - 2) = 6, which combine to 56.
77Reading Comprehension
'अंधी पीस, कुत्ता खाय' लोकोक्ति का अर्थ है-
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Answer: (B) अयोग्य शासक के कारण कुशासन
Explanation
लोकोक्ति 'अंधी पीसे, कुत्ता खाए' का अर्थ है कि कुप्रबंध अथवा अयोग्य प्रशासन के कारण परिश्रम का फल नष्ट हो जाता है और अनुचित लोग उसका लाभ उठाते हैं। दिए गए विकल्पों में 'अयोग्य शासक के कारण कुशासन' इसका सबसे उपयुक्त अर्थ है।
78Reading Comprehension
'बिनु पद चले, सुने बिनु काना' में कौन सा अलंकार है?
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Answer: (D) विभावना
Explanation
इस पंक्ति में विभावना अलंकार है क्योंकि यहाँ बिना कारण (पैर और कान के बिना) के ही कार्य (चलना और सुनना) का होना दर्शाया गया है। काव्य में जहाँ बिना कारण के कार्य की उत्पत्ति दिखाई जाए, वहाँ विभावना अलंकार होता है।
79Reading Comprehension
'लाश' शब्द किस मूल भाषा का है?
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Answer: (C) तुर्की
Explanation
The word 'लाश' (meaning corpse) is of Turkish (तुर्की) origin and was introduced into Hindi through Turkish influence. Other common Turkish loanwords in Hindi include कैंची, चाकू, and बारूद.
80Reading Comprehension
'इया' प्रत्यय से बना शुद्ध शब्द है-
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Answer: (C) डिबिया
Explanation
The correct word formed by adding the suffix 'इया' to the root word 'डिब्बा' is 'डिबिया'. This suffix is used to create diminutive forms in Hindi, where the first vowel becomes short and 'इया' is appended at the end.
81Reading Comprehension
'धनुष्टंकार' शब्द का संधि-विच्छेद है-
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Answer: (A) धनुः + टंकार
Explanation
धनुष्टंकार शब्द का सही संधि-विच्छेद धनुः + टंकार है। यह विसर्ग संधि का नियम है, जिसके अनुसार यदि विसर्ग से पहले इ या उ स्वर हो और बाद में ट वर्ण आए, तो विसर्ग का परिवर्तन ष् में हो जाता है।
82Reading Comprehension
'घनश्याम' शब्द में कौन-सा समास है?
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Answer: (C) बहुब्रीहि
Explanation
The word 'घनश्याम' translates to 'one who is dark like a cloud', which specifically refers to Lord Krishna. In Hindi grammar, when a compound points to a specific third person or deity, it is classified under Bahuvrihi Samas.
83Reading Comprehension
'राजा' का पर्यायवाची शब्द नहीं है-
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Answer: (B) धरणीधर
Explanation
धरणीधर शब्द पर्वत, शेषनाग या भगवान विष्णु का पर्यायवाची है, जबकि भूपाल, भूपति और भूस्वामी राजा के पर्यायवाची शब्द हैं।
84Reading Comprehension
What was his great power over the mind and heart of man due to? Even we realise that his dominating passion was truth. That truth led him to proclaim without ceasing that good ends can never be attained by evil methods, that the end itself is distorted if the method pursued is bad. That truth bledhim to confess publicly whenever he thought he had made a mistake - Himalayan errors he called some of his own mistakes. That truth led him to fight evil and untruth wherever he found them, regardless of the consequences, that truth made the service of the poor and the dispossessed the passion of his life; for where there is inequality and discrimination and suppression, there is injustice and evil and untruth. And thus he became the beloved of all those who have suffered from social and political evils, and the great representative of humanity as it should be. Because of that truth in him where he sat became a temple and where he trod was hallowed ground.
"Himalayan errors" in the passage stands for
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Answer: (B) serious errors
Explanation
In the given passage, the term "Himalayan errors" is used metaphorically to describe mistakes of immense magnitude. Therefore, it stands for extremely serious or colossal errors.
85Reading Comprehension
What was his great power over the mind and heart of man due to? Even we realise that his dominating passion was truth. That truth led him to proclaim without ceasing that good ends can never be attained by evil methods, that the end itself is distorted if the method pursued is bad. That truth bledhim to confess publicly whenever he thought he had made a mistake - Himalayan errors he called some of his own mistakes. That truth led him to fight evil and untruth wherever he found them, regardless of the consequences, that truth made the service of the poor and the dispossessed the passion of his life; for where there is inequality and discrimination and suppression, there is injustice and evil and untruth. And thus he became the beloved of all those who have suffered from social and political evils, and the great representative of humanity as it should be. Because of that truth in him where he sat became a temple and where he trod was hallowed ground.
What makes the person described in the passage a great representative of humanity?
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Answer: (C) He made the service of the poor and dispossessed his passion of life.
Explanation
The passage explicitly states that truth made the service of the poor and the dispossessed the passion of his life, which in turn made him the great representative of humanity. Other options directly contradict the facts mentioned in the passage, such as his admission of mistakes and his disregard for consequences when fighting evil.
86Reading Comprehension
What was his great power over the mind and heart of man due to? Even we realise that his dominating passion was truth. That truth led him to proclaim without ceasing that good ends can never be attained by evil methods, that the end itself is distorted if the method pursued is bad. That truth bledhim to confess publicly whenever he thought he had made a mistake - Himalayan errors he called some of his own mistakes. That truth led him to fight evil and untruth wherever he found them, regardless of the consequences, that truth made the service of the poor and the dispossessed the passion of his life; for where there is inequality and discrimination and suppression, there is injustice and evil and untruth. And thus he became the beloved of all those who have suffered from social and political evils, and the great representative of humanity as it should be. Because of that truth in him where he sat became a temple and where he trod was hallowed ground.
According to the great man, described in the passage which one of the following is not true, if evil methods are adopted?
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Answer: (D) Evil methods can help to achieve good ends.
Explanation
The passage explicitly states that good ends can never be attained by evil methods. Therefore, the statement that evil methods can help to achieve good ends is not true according to the passage.
87Reading Comprehension
What is the antonym of "complicate"?
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Answer: (C) Simplify
Explanation
The word complicate is a verb meaning to make something difficult or complex. Its direct antonym is the verb simplify, which means to make something simpler or easier to understand.
88Reading Comprehension
Out of the given alternatives, choose the one that can be substituted for the phrase - 'study of the origin and history of words' :
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Answer: (D) Etymology
Explanation
Etymology is the scientific study of the origin and historical development of words, including how their forms and meanings have changed over time. The other options refer to the study of humanity (Anthropology), word structures (Morphology), and language in general (Linguistics).
89Reading Comprehension
Which one of the given alternatives best expresses the quoted part of the sentence? Nothing can be done when the whole system is paralysed by "inertia."
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Answer: (D) Sluggishness
Explanation
The word inertia means a state of inaction, lethargy, or a tendency to remain unchanged. Among the given options, sluggishness is the closest synonym as it refers to a state of being slow-moving or inactive.
90Reading Comprehension
Out of the given alternatives, choose the one that correctly describes the meaning of the underlined phrase :
The love of his wife "Bore him up" in the midst of all his problems.
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Answer: (A) sustained
Explanation
The phrasal verb "bear up" (past tense "bore up") means to support or sustain someone, especially during a difficult period. In the context of the sentence, his wife's love sustained him through his problems, making "sustained" the correct definition.
