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Seven persons A, B, C, D, E, F, G have weekly off on different days of the week starting from Sunday . A has week off either on the 2nd day from the starting or on 2nd day from the last. B has week of immediate after or immediate before A. Only one person has week off between B and F. E has week off on Wednesday. C doesn’t has off before E. More than 3 persons have off between B and D. G does not have weekly off immediately after E G has off just before D.

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सात व्यक्ति A, B, C, D, E, F, G रविवार से शुरू होने वाले सप्ताह के अलग अलग दिन साप्ताहिक अवकाश होता है। A का अवकाश या तो शुरुआत से दूसरे दिन या अंतिम से दूसरे दिन है। B का सप्ताहिक अवकाश A के ठीक बाद या ठीक पहले है। B और F के बीच में केवल एक व्यक्ति का सप्ताहिक अवकाश है। E का सप्ताहिक अवकाश बुधवार को है। C का अवकाश E से पहले नहीं है। B और D के बीच में 3 से अधिक व्यक्तियों का अवकाश है। G का सप्ताहिक अवकाश E के ठीक बाद नहीं है। G का अवकाश D से ठीक पहले है।

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Twelve persons are standing equally in two parallel rows. All of them are facing north and persons in row1 are exactly in front of the persons in row 2. J is 3rd left to I, who is in row 2 . H is not neighbor of I but are in same row. F and B are not neighbor of C. E is immediate left to B. K and G belong to same row. B does not face K. The one standing in front of L is 3rd left to C. The one in front of H is 2nd to the right of A. Neither J nor I sits at any end. D is one of the persons. L is not sitting in row 1 and F sits in row 1.

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बारह व्यक्ति दो समानांतर पंक्तियों में समान रूप से खड़े हैं। उनमें से सभी उत्तर की ओर उन्मुख हैं तथा पंक्ति-1 में खड़े व्यक्ति ठीक पंक्ति-2 में खड़े व्यक्तियों के सामने हैं। J, I के बायें से तीसरे स्थान पर है, जो पंक्ति-2 में है। H, I का पड़ोसी नहीं है, लेकिन समान पंक्ति में हैं। F और B, C के पड़ोसी नहीं है। E, B के ठीक बायीं ओर है। K और G समान पंक्ति से सम्बन्धित हैं। B, K की ओर उन्मुख नही है। L के सामने खड़ा व्यक्ति C के बायें से तीसरे स्थान पर है। जो व्यक्ति H के सामने खड़ा है, वह A के दायें से दूसरे स्थान पर है। न तो J न ही I किसी भी अंतिम छोर पर खड़े हैं। D, व्यक्तियों में से एक है। L, पंक्ति-1 में नहीं खड़ा है और F पंक्ति-1 में खड़ा है।

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Seven persons P, Q, R, S, T, V and X were born in seven different month viz. January, March, April, May, June, July and August of the same year but not necessarily in the same order.
V was born in the month having 30 days. Two persons were born between V and Q. More than three persons were born between X and P. P was born after Q. T was born before V in the month of 31 days. S was born immediately before R. T was not born on January.

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सात व्यक्ति- P, Q, R, S, T, V और X हैं, जिनका जन्म समान वर्ष के सात अलग-अलग महीनों अर्थात्- जनवरी, मार्च, अप्रैल, मई, जून, जुलाई और अगस्त में होता है, लेकिन आवश्यक नहीं कि समान क्रम में हो।
V का जन्म 30 दिनों वाले महीने में हुआ था। V और Q के बीच दो व्यक्तियों का जन्म हुआ था। X और P के बीच तीन से अधिक व्यक्तियों का जन्म हुआ था। P, का जन्म Q से बाद हुआ था। T का जन्म 31 दिनों वाले महीने में V से पहले हुआ था। S का जन्म R से ठीक पहले हुआ था। T का जन्म जनवरी में नहीं हुआ था।

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●Good Morning● 26-4-21

◆Daily The Hindu Vocabulary◆

1. COMBAT (VERB): (सामना करना): fight
Synonyms: tackle, attack
Antonyms: give in to
Example Sentence:Doctors are trying to combat the spread of coronavirus.


2. INTELLECTUAL (ADJECTIVE): (बौद्धिक): mental
Synonyms: cerebral, cognitive
Antonyms: physical
Example Sentence:Children need intellectual stimulation.


3. REPUDIATION (NOUN): (अस्वीकृति): rejection
Synonyms: renunciation, abandonment
Antonyms: confirmation, ratification
Example Sentence:The breach is not so serious as to amount to a repudiation of the whole contract.


4. NUTRITIOUS (ADJECTIVE): (पौष्टिक): nourishing
Synonyms: nutritive, wholesome
Antonyms: unwholesome
Example Sentence:Home-cooked burgers make a nutritious meal.


5. SCOURGE (NOUN): (अभिशाप): affliction
Synonyms: bane, curse
Antonyms: blessing
Example Sentence:India is facing the scourge of mass unemployment.


6. MERCILESS (ADJECTIVE): (निर्मम): ruthless
Synonyms: remorseless, pitiless
Antonyms: merciful
Example Sentence:His murder merciless attack with a blunt instrument.


7. ADVENT (NOUN): (आगमन): arrival
Synonyms: appearance, emergence
Antonyms: departure
Example Sentence:The advent of email has simultaneously brought our society closer together and farther apart.


8. UNERRING (ADJECTIVE): (अचूक): unfailing
Synonyms: infallible unswerving
Antonyms: fallible
Example Sentence:His sense of direction is unerring.


9. SEIZE (VERB): (पकड़ना): grab
Synonyms: grasp, snatch
Antonyms: let go of
Example Sentence:She jumped up and seized his arm.


10. FRAIL (ADJECTIVE): (दुर्बल): infirm
Synonyms: weak, weakened
Antonyms: strong
Example Sentence:He gave the frail woman a hug.

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DI SET DAY - 70 😍

The table shows the number of students participated in different sections from different schools.

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1) A group of four students has to form from school C such that the group contains one student in each section and the remaining from any of the section. The number of ways in which this can be possible is 25920. Find the number of students in section III from school C?
चार छात्रों के एक समूह को स्कूल C से बनना है, ताकि समूह में प्रत्येक खंड में एक छात्र शामिल हो और शेष किसी भी अनुभाग से। यह संभव करने के तरीकों की संख्या 25920 है। स्कूल C से अनुभाग III में छात्रों की संख्या ज्ञात करें?
a) 15

b) 12

c) 10

d) 20

e) 18

2) A group of two students has to form from school E such that the group contains at least one student in section III. The number of ways in which this can be possible is 195. A committee of five students is to be formed from school E such that the committee contains 2 students from section I, 1 student from section II and 2 students from section III. Find the number of ways in which this can be possible?
दो छात्रों के एक समूह को स्कूल ई से फार्म करना है जैसे समूह में धारा III में कम से कम एक छात्र शामिल है। यह संभव हो सकता है तरीकों की संख्या 195 है। स्कूल ई से पांच छात्रों की एक समिति बनाई जानी है, जिसमें समिति में खंड I के 2 छात्र, अनुभाग II के 1 छात्र और अनुभाग III के 2 छात्र शामिल हैं। उन तरीकों की संख्या ज्ञात करें जिनमें यह संभव हो सकता है?
a) 15920

b) 16478

c) 23420

d) 17820

e) None of these

3) Find the total number of students in school A?
स्कूल A में छात्रों की कुल संख्या ज्ञात कीजिये?

Statement I: All the students in section II from school A is handshaking with each other and the total number of handshakes is 105.
कथन I: स्कूल A के अनुभाग II के सभी छात्र एक-दूसरे के साथ हैंडशेक कर रहे हैं और हैंडशेक की कुल संख्या 105 है।

Statement II: All the students in school A is handshaking with each other and the total number of handshakes is 780.
कथन II: स्कूल A के सभी छात्र एक-दूसरे के साथ हैंडशेक कर रहे हैं और हैंडशेक की कुल संख्या 780 है।
a) Only I

b) Only II

c) Both I and II

d) Either I or II

e) Neither I nor II

4) In school B, number of students in section III is 75% of the number of students in section II.
स्कूल बी में, धारा III में छात्रों की संख्या अनुभाग II में छात्रों की संख्या का 75% है।

Quantity I: In committee P, five students is to be formed from school B such that the committee contains 1 student from each section and the remaining students from any of the section.
मात्रा I: समिति P में, स्कूल B से पांच छात्रों का गठन किया जाना है जैसे कि समिति में प्रत्येक अनुभाग से 1 छात्र और किसी भी अनुभाग से शेष छात्र शामिल हैं।

Quantity II: In committee Q, five students is to be formed from school B such that committee contains at least one student from section I.
मात्रा II: समिति Q में, स्कूल B से पांच छात्रों का गठन किया जाना है, क्योंकि समिति में I से कम से कम एक छात्र शामिल है।
a) Quantity I > Quantity II

b) Quantity I < Quantity II

c) Quantity I ≥ Quantity II

d) Quantity I ≤ Quantity II

e) Quantity I = Quantity II (or) Relationship cannot be determined

5) A committee of three members is to be formed from each school B and school D. Number of possible ways of a committee contains three students in section III from school D is what percentage of the number of possible ways of committee contains three students in section I from school B?
प्रत्येक स्कूल बी और स्कूल डी से तीन सदस्यों की एक समिति बनाई जानी है।
समिति के संभावित तरीकों की संख्या में स्कूल D से खंड III में तीन छात्रों को शामिल किया गया है समिति के संभावित तरीकों की संख्या का कितना प्रतिशत स्कूल B से खंड I में तीन छात्रों में है?
a) 180%

b) 380%

c) 160%

d) 280%

e) None of these

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1) Answer: c)

No of students in section III from school C = x

Total number of students in school C = x + 8 + 12 = 20 + x

Number of possible ways = 8C1 * 12C1 * xC1 * (20 + x – 3) C1 = 25920

8 * 12 * x * (17+x) = 25920

17x + x2 = 270

= > x2 + 17x – 270 = 0

= > x2 – 10x + 27x – 270 = 0

= > x (x – 10) + 27 (x – 10) = 0

= > x = 10, – 27 (Eliminate the –Ve value)

Number of students in section III from school C = 10

2) Answer: d)

Number of students in section III from school E = y

Total number of students in school E = (y + 12 + 18)

= y + 30

Number of possible ways = yC1 * 30C1 + yC2 = 195

= > y * 30 + (y*(y-1)/(1 *2)) = 195

= > 30y + (y2 – y)/2 = 195

= > 60y + y2 – y = 390

= > y2 + 59y – 390 = 0

= > y2 + 65y – 6y – 390 = 0

= > y (y + 65) – 6 (y + 65) = 0

= > (y + 65) (y – 6) = 0

= > y = 6, -65 (Eliminate –Ve value)

Total number of students in school E = 30 + 6 = 36

Required number of ways = 12C2 * 18C1 * 6C2

= (12*11 / 1*2) *18 *(6*5 / 1*2)

= 6*11*18*3*5

= 17820

3) Answer: b)

From I,

Number of students in section II from school A = n

Number of handshakes = nC2 = 105

= > [n*(n -1)] / (1 * 2) = 105

= > n2 – n = 210

= > n2 – n – 210 = 0

= > n2 – 15n + 14n – 210 = 0

= > (n – 15) (n – 14) = 0

= > n = 15, -14 (Eliminate –Ve value)

From statement I, We have to find only number of students in section II from school A. We can’t find the total number of students.

Hence, statement I alone is not sufficient to answer the given question.

From II,

Total number of students in school A = x

Number of handshakes = xC2 = 780

= > x * (x – 1)/1*2 = 780

= > x2 – x = 780*2

= > x2 – x – 1560 = 0

= > x2 – 40x + 39x – 1560 = 0

= > x (x – 40) + 39 (x – 40) = 0

= > (x – 40) (x + 39) = 0

= > x = 40, -39 (Eliminate –Ve value)

Total number of students in school A is 40.

Hence, Statement II alone is sufficient to answer the given question.

4) Answer: a)

Number of students in section II from school B = x

Number of students in section III from school B = 75/100 * x

= 3x/4

Total number of students in section II and III from school B = 20 – 6 = 14

= > x + 3x/4 = 14

= > 7x/4 = 14

= > x = 8

Number of students in section III from school B = 8 * 75/100 = 6

Quantity I:

Number of ways = 6C1*8C1*6C1*(20-3)C2

= 6 * 8 * 6 *(17*16/1*2)

= 6*8*6*17*8

= 39168

Quantity II: In committee Q, five students is to be formed from school B such that committee contains at least one student from section I.

Number of ways = 6C1*14C4 + 6C2*14C3 + 6C3*14C2 + 6C4*14C1 + 6C5

= 6006 + 5460 + 1820 + 210 + 6

= 13502

Hence, Quantity I > Quantity II

5) Answer: d)

Number of ways in school D = 8C3

= 8*7*6 / 1*2*3 = 56

Number of ways in school B = 6C3

= 6*5*4 / 1*2*3 = 20

Required percentage = (56/20) * 100 = 280%

Study the following information carefully and answer the questions given below:

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