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There are total five countries P, Q, R, S and T whose employment rate is to be calculated.

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Formulas for calculating Unemployment rate is given below:

Unemployment Rate= Unemployed/(Labour Force)*100

Labour Force Rate= (Person willing to Work (Labour Force))/(Total Population (15-60 years))*100

Line graph given shows the population (lakhs) of those five countries of 3 different age groups such as: less than 15 years, more than 60 years of age.
Labour force is calculated from the population of age group (15 – 60) years and employment and unemployment rate is calculated from the Labour Force only.

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1) If out of total population of country P, 30% are actually employed, then what is the per cent of unemployment in that country?

यदि देश P की कुल जनसंख्या में से 30% वास्तव में कार्यरत हैं, तो उस देश में बेरोजगारी का प्रतिशत कितना है?

a) 25%

b) 20%

c) 30%

d) 40%

e) None of these

2) If unemployment rate of country Q is 40%, then what is the ratio of employed population to the population of age greater than 60 years of that country?

यदि देश Q की बेरोजगारी दर 40% है, तो नियोजित जनसंख्या का उस देश की 60 वर्ष से अधिक आयु की जनसंख्या से अनुपात कितना है?

a) 3: 2

b) 4: 3

c) 6: 5

d) 5: 4

e) None of these

3) If unemployment rate of country P, Q and R is ‘x’%, ‘x + 25’% and 60% respectively and unemployed population in countries P is 15200 less than that in country R, then what is the unemployed population (thousand) in country Q?

If unemployment rate of country P, Q and R is ‘x’%, ‘x + 25’% and 60% respectively and unemployed population in countries P is 15200 less than that in country R, then what is the unemployed population (thousand) in country Q?
a) 27

b) 24

c) 19.5

d) 20.4

e) None of these

4) If unemployment rate of country R is 15 more than that of country S and ratio of unemployed population of countries R to that of S is 5: 1, than that in country S, then what is the sum of unemployed population (thousands) in both the countries together?

यदि देश R की बेरोजगारी दर देश S की बेरोजगारी दर से 15 अधिक है और देश R की बेरोजगार जनसंख्या का S से अनुपात 5:1 है, तो देश S की तुलना में बेरोजगार जनसंख्या (हजारों) का योग क्या है? देश एक साथ?

a) 45

b) 54

c) 36

d) 60

e) None of these

5) If unemployed population in country T is ‘x’% of total population of age group (< 15) and ‘x + 18’% of total population of age group (> 60), then what is the unemployment rate of country T?

यदि देश T में बेरोजगार जनसंख्या आयु वर्ग (<15) की कुल जनसंख्या का 'x'% और आयु वर्ग (> 60) की कुल जनसंख्या का 'x + 18'% है, तो देश T की बेरोजगारी दर क्या है?

a) 55%

b) 45%

c) 65%

d) 75%

e) None of these

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1) Answer: a)

Population of age group (15 – 60) in country P = 80 – (10 + 30) = 40

80% = (Labour Force/40) * 100

Labour Force in country P = (80/100) * 40 = 32

Population of age group (15 – 60) in country Q = 100 – (15 + 25) = 60

50% = (Labour Force/60) * 100

Labour Force in country Q = (50/100) * 60 = 30

Population of age group (15 – 60) in country R = 120 – (20 + 20) = 80

75% = (Labour Force/80) * 100

Labour Force in country R = (75/100) * 80 = 60

Population of age group (15 – 60) in country S = 50 – (10 + 15) = 25

60% = (Labour Force/25) * 100

Labour Force in country S = (60/100) * 25 = 15

Population of age group (15 – 60) in country T = 80 – (20 + 30) = 30

80% = (Labour Force/50) * 100

Labour Force in country T = (80/100) * 30 = 24

Total population of country P = 80

Total employed in country P = 30% of 80 = 24

Total unemployed out of Labour Force = 30 – 24 = 8

Unemployment rate = (8/32) * 100 = 25%

2) Answer: c)

Unemployment rate = (Unemployed/Labour Force) * 100

40 = (Unemployed/30) * 100

Unemployed = 12

Employed = 30 – 12 = 18

Required ratio = 18: 15 = 6: 5

3) Answer: a)

Unemployment rate of P = (Unemployed/Labour Force) * 100

x = (Unemployed/32) * 100

Unemployed in P = 0.32x

Unemployment rate of R = (Unemployed/Labour Force) * 100

60 = (Unemployed/60) * 100

Unemployed in R = 36

According to the question:

36 – 0.32x = 15200/1000

0.32x = 20.8

x = 65

Now,

Unemployment rate in Q = (Unemployed/Labour Force) * 100

(x + 25) = (Unemployed/30) * 100

Unemployed in Q = [(65 + 25) * 30]/100

Unemployed in Q = 27

4) Answer: b)

Let unemployed population of country R and S is ‘5x’ and ‘x’ respectively.

Unemployment rate of R = (Unemployed/Labour Force) * 100

Unemployment rate of R = (5x/60) * 100

Unemployment rate of R = 25x/3

Unemployment rate of S = (Unemployed/Labour Force) * 100

Unemployment rate of S = (x/15) * 100

Unemployment rate of S = 20x/3

According to the question:

(25x/3) – (20x/3) = 15

x = 9

Sum of unemployed population (thousands) in both the countries together = 5x + x = 6x = 54

5) Answer: b)

Let unemployed population in T = ‘a’

Total population of age group (< 15) in T = 30

a = x% of 30

a = 0.3x ……… (1)

Total population of age group (< 15) in T = 30

a = (x + 18)% of 20

From equation (1):

0.3x = 0.2(x + 18)

0.3x = 0.2x + 3.6

x = 36

Unemployment rate = (a/24) * 100

= (0.3x/24) * 100

= 45%
The table below shows number of student in different section of classes:

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6) The average number of students in class V is 88 and the number of students in section B is 20% more than the number of students in section D then find the ratio between the number of students in Section B of class V and section D of class X?

कक्षा V में छात्रों की औसत संख्या 88 है और खंड B में छात्रों की संख्या खंड D में छात्रों की संख्या से 20% अधिक है, तो कक्षा V के खंड B और कक्षा X के खंड D में छात्रों की संख्या के बीच का अनुपात ज्ञात कीजिए। ?

a) 20:3

b) 40:9

c) 50:69

d) 30:37

e) 69:50

7) If the ratio between number of students in section B and section C of class VI becomes 4:5 when 20 more students joins section C then find the number of students initially in section C?

यदि कक्षा VI के सेक्शन B और सेक्शन C में छात्रों की संख्या का अनुपात 4:5 हो जाता है, जब सेक्शन C में 20 और छात्र शामिल हो जाते हैं, तो सेक्शन C में शुरू में छात्रों की संख्या ज्ञात करें?

a) 20

b) 40

c) 55

d) 30

e) 60

8) If the average weight of students in section A of class IX is ‘x’ while that of section C is ‘x-10’ kg and the average weight of all the students in these sections is 50 kg, then find the new average weight of section C if the teacher is also included whose weight is 44 kg?

यदि कक्षा IX के सेक्शन A में छात्रों का औसत वजन 'x' है जबकि सेक्शन C का 'x-10' किलो है और इन सेक्शन के सभी छात्रों का औसत वजन 50 किलो है, तो नए औसत वजन का पता लगाएं खंड सी यदि शिक्षक भी शामिल है जिसका वजन 44 किलो है?

a) 38

b) 40

c) 52

d) 44

e) 60

9) If the total number of students in class VII and class VIII is 620 then find the average number of students in section D of class VII and VIII?

यदि कक्षा VII और कक्षा VIII में छात्रों की कुल संख्या 620 है, तो कक्षा VII और VIII के खंड D में छात्रों की औसत संख्या ज्ञात कीजिए?

a) 137

b) 140

c) 105

d) 130

e) 160

10) If the ratio between the number of students in section C of class VIII and X is 5:4 and the number of students in section A of class X is 50% more than the section C of the same class then find the average number of students in class X?

यदि कक्षा VIII और X के सेक्शन C में छात्रों की संख्या का अनुपात 5:4 है और कक्षा X के सेक्शन A में छात्रों की संख्या उसी कक्षा के सेक्शन C से 50% अधिक है, तो छात्रों की औसत संख्या ज्ञात कीजिए। दसवीं कक्षा में?

a) 20

b) 40

c) 10

d) 30

e) 60

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6) Answer: e)

Total number of students in class V = 88*4= 352

Let the number of students in section D be x

Section B= x*120/100= 6x/5

So,

x+6x/5+ 60+39= 352

11x/5= 352-99

11x/5= 253

x= 253*5/11

x= 115

Number of students in section B= 6*115/5= 138

Required ratio= 138:100= 69:50

7) Answer: c)

Let the let the number of students initially in section C be x

Now,

Number of students in section C = x+20

60/x+20 = 4/5

300= 4x+80

220= 4x

x= 55

8) Answer: d)

Total weight of all students= 50*160= 8000 kg

So,

96*x + 64(x-10) = 8000

96x + 64x – 640= 8000

160x= 8000+640

x= 8640/160

x= 54 kg

Average weight of section C = 54 -10= 44 kg

Total weight if we include weight of the teacher

= (44*64) + 44 = 2816 + 44 = 2860 kg

Required average weight= 2860/65= 44 kg

9) Answer: a)

Let the number of students in section D of class VII and VIII be x and y respectively

So,

(80+90+16+x) + (85+30+45+y) = 620

186+x+160+y = 620

x + y = 620- 346

x + y = 274

Required average = 274/2 = 137

10) Answer: e)

Number of students in section C of class X= 45*4/5= 36

Number of students in section A of class X= 36*150/100= 54

Required average= (54+50+36+100)/4 = 240/4 = 60 students
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Forwarded from ENGLISH + VOCAB || THE HINDU
The Hindu Vocabulary For All Competitive Exams | 04-03-2022

1. ABRIDGE (VERB): (संक्षेप करना): shorten
Synonyms: cut, curtail
Antonyms: lengthen
Example Sentence:
The introduction is abridged from the author's afterword to the novel.

2. ABEYANCE (ADJECTIVE): (निलम्बन): suspension
Synonyms: remission, suspense
Antonyms: in hand
Example Sentence:
Matters were held in abeyance pending further enquiries.

3. OBNOXIOUS (ADJECTIVE): (अप्रिय): unpleasant
Synonyms: disagreeable, nasty
Antonyms: delightful
Example Sentence:
They overthrew the chancellor who was very obnoxious to them.

4. ANNIHILATE (VERB): (मिटा देना): destroy
Synonyms: wipe out, obliterate
Antonyms: create
Example Sentence:
A simple bomb could also annihilate a lot of things.

5. CONFER (VERB): (प्रदान करना): bestow on
Synonyms: present with/to, grant to
Antonyms: withhol
Example Sentence:
The Minister may have exceeded the powers conferred on him by Parliament.

6. VEX (VERB): (खीझाना): annoy
Synonyms: irritate, infuriate
Antonyms: mollify
Example Sentence:
The memory of the conversation still vexed him.

7. DEEM (VERB): (मानना): consider
Synonyms: judge, adjudge
Antonyms: mis-judge
Example Sentence:
The event was deemed a great success.

8. UNBRIDLED (ADJECTIVE): (निरंकुश): unrestrained
Synonyms: unconstrained, uncontrolled
Antonyms: restrained
Example Sentence:
He had a moment of unbridled ambition.

9. HUMILIATE (VERB): (अपमानित करना): embarrass
Synonyms: mortify, humble
Antonyms: aggrandize
Example Sentence:
You'll humiliate me in front of the whole school!

10. BARBARIC (ADJECTIVE): (निर्दयी): cruel
Synonyms: brutal, barbarous
Antonyms: benevolent
Example Sentence:
He carried out barbaric acts in the name of war

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Forwarded from ENGLISH + VOCAB || THE HINDU
The Hindu Vocabulary For All Competitive Exams | 05-03-2022

1. ASSERTIVE (ADJECTIVE): (मुखर): confident 
Synonyms: forceful, self-confident 
Antonyms: retiring 
Example Sentence: 
The job may call for assertive behavior. 

2. SLOPPY (ADJECTIVE): (लापरवाह): careless 
Synonyms: slapdash, slipshod 
Antonyms: careful 
Example Sentence: 
We gave away a goal through sloppy defending. 

3. THRIVE (VERB): (फलना-फूलना): flourish 
Synonyms: prosper burgeon 
Antonyms: increase 
Example Sentence: 
Education groups tend to thrive on organization. 

4. CONVENTIONAL (ADJECTIVE): (मानक): normal 
Synonyms: standard, regular 
Antonyms: original 
Example Sentence: 
A conventional morality had dictated behavior. 

5. SABOTAGE (VERB): (नुक़सान पहुंचाना): wreck 
Synonyms: vandalize, destroy 
Antonyms: strengthen 
Example Sentence: 
Power lines from South Africa were sabotaged by rebel forces. 

6. DISPENSE (VERB):(मुक्त होना): waive 
Synonyms: omit, drop 
Antonyms: include 
Example Sentence: 
Let's dispense with the formalities, shall we?" 

7. CRITICAL (ADJECTIVE): (महत्वपूर्ण): crucial 
Synonyms: vital, essential 
Antonyms: unimportant 
Example Sentence: 
Temperature is a critical factor in successful fruit storage. 

8. SPUR (VERB): (प्रोत्साहित करना): stimulate 
Synonyms: encourage, prompt 
Antonyms: discourage 
Example Sentence: 
Her sons' passion for computer games spurred her to set up a software business. 

9. COMPLACENCY (NOUN):(शालीनता): smugness 
Synonyms: self-satisfaction, self-approval 
Antonyms: dissatisfaction 
Example Sentence: 
The figures are better, but there are no grounds for complacency. 

10. DESCEND (VERB): (उतरना): drop 
Synonyms: go down, come down 
Antonyms: ascend 
Example Sentence: 
The aircraft began to descend. 

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Forwarded from ENGLISH + VOCAB || THE HINDU
🔰The Hindu Vocabulary For All Competitive Exams | 06-03-2022🔰

1. BLIGHT (NOUN): (यातना): affliction 
Synonyms: scourge, bane 
Antonyms: blessing 
Example Sentence: 
The vacant properties are a blight on the neighbourhood. 

2. COMPLACENT (ADJECTIVE): (आत्मसंतुष्ट): smug 
Synonyms: self-satisfied, self-approving 
Antonyms: dissatisfied 
Example Sentence: 
You can't afford to be complacent about security. 

3. WRANGLE (NOUN): (तकरार): argument 
Synonyms: dispute, disagreement 
Antonyms: agreement 
Example Sentence: 
An insurance wrangle is holding up compensation payments. 

4. INCLUSIVE (ADJECTIVE): (समावेशी): all-in 
Synonyms: all-inclusive comprehensive 
Antonyms: exclusive 
Example Sentence: 
They have menus stating fully inclusive prices. 

5. IMPLICIT (ADJECTIVE): (अंतर्निहित): implied 
Synonyms: indirect, inferred 
Antonyms: explicit 
Example Sentence: 
Comments seen as implicit criticism of the policies. 

6. COLLISION (NOUN): (टकराव): clash 
Synonyms: conflict, opposition 
Antonyms: coalescence 
Example Sentence: 
When she married an NRI, collision of two diverse cultures took place. 

7. EFFICACIOUS (ADJECTIVE): (प्रभावोत्पादक): effective 
Synonyms: successful, effectual 
Antonyms: inefficacious 
Example Sentence: 
The treatment was efficacious in some cases. 

8. OFFENSIVE (ADJECTIVE): (आपत्तिजनक): insulting 
Synonyms: rude, derogatory 
Antonyms: complimentary 
Example Sentence: 
The allegations made are deeply offensive to us. 

9. ABRIDGE (VERB): (संक्षेप करना): shorten 
Synonyms: cut, curtail 
Antonyms: lengthen 
Example Sentence: 
It was abridged from the original work. 

10. TANGIBLE (ADJECTIVE): (वास्तविक): real 
Synonyms: actual, solid 
Antonyms: abstract 
Example Sentence: 
The emphasis is now on tangible results. 

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Forwarded from ENGLISH + VOCAB || THE HINDU
🔰The Hindu Vocabulary For All Competitive Exams | 07-02-2022🔰

1. HUDDLE (VERB): (भीड़ लगाना): crowd

Synonyms: gather, throng

Antonyms: disperse

Example Sentence:

They huddled together for ensuring warmth.

2. BANDY (ADJECTIVE): (झुका हुआ): bowed

Synonyms: curved, bent

Antonyms: straight

Example Sentence:

She had legs that were bent and slightly bandy.

3. MARSHAL (VERB): (क्रमबद्ध करना): gather

Synonyms: assemble, collect

Antonyms: disperse

Example Sentence:

The general marshalled his troops for an important task.

4. FIERCE (ADJECTIVE): (प्रचण्ड): powerful

Synonyms: strong, violent

Antonyms: mild

Example Sentence:

Fierce storms lashed throughout the country.

5. SHED (VERB): (बरखास्त करना): dismiss

Synonyms: let go, discharge

Antonyms: hire

Example Sentence:

Many firms use relocation as an opportunity to shed jobs.

6. ILLICIT (ADJECTIVE): (अवैध): illegal

Synonyms: unlawful, illegitimate

Antonyms: licit

Example Sentence:

She was in possession of illicit drugs.

7. DESTRUCTIVE (ADJECTIVE): (द्वेषपूर्ण): negative

Synonyms: hostile, antagonistic

Antonyms: constructive

Example Sentence:

One should never practice destructive criticism.

8. REPREHENSIBLE (ADJECTIVE): (खेदजनक): deplorable

Synonyms: disgraceful discreditable

Antonyms: creditable

Example Sentence:

His complacency and reprehensible laxity.

9. ZEAL (NOUN): (जोश): passion

Synonyms: ardour, love

Antonyms: apathy

Example Sentence:

He has a lot of zeal for privatization.

10. INTERDICT (VERB): (निषेध करना): prohibit

Synonyms: forbid, ban

Antonyms: permit

Example Sentence:

Society will never interdict morality. 

@PRACTICE_ENGLISH_VOCAB
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Forwarded from ENGLISH + VOCAB || THE HINDU
🔰The Hindu Vocabulary For All Competitive Exams | 09-03-2022🔰

1. UNRELENTING (ADJECTIVE): (निरंतर): continual
Synonyms: constant, continuous
Antonyms: intermittent
Example Sentence:
She established her authority with unrelenting thoroughness.

2. SPLENDOUR (NOUN): (वैभव): magnificence
Synonyms: grandeur, opulence
Antonyms: modesty
Example Sentence:
The barren splendour of the Lake District looked stunning.

3. INDICT (VERB): (अभियोग लगाना): charge with
Synonyms: summon, cite
Antonyms: acquit
Example Sentence:
His former manager was indicted for fraud.

4. INSURGENT (NOUN): (विद्रोही): rebel
Synonyms: revolutionary, mutineer
Antonyms: loyalist
Example Sentence:
He signaled to the other insurgent, who obeyed and moved forward.

5. CONSENSUS (NOUN): (आम सहमति): agreement
Synonyms: harmony concord
Antonyms: disagreement
Example Sentence:
There is a growing consensus that the current regime has failed.

6. AMBITIOUS (ADJECTIVE): (महत्वाकांक्षी): aspiring
Synonyms: determined, forceful
Antonyms: unambitious
Example Sentence:
She is a tyical ambitious workaholic.

7. COMBAT (VERB): (सामना करना): fight
Synonyms: tackle, attack
Antonyms: give in to
Example Sentence:
She dedicated her life combating poverty.

8. ULTIMATE (ADJECTIVE): (अंतिम): eventual
Synonyms: last, final
Antonyms: immediate
Example Sentence:
The ultimate aim of the firm’s head was to force his resignation.

9. UNDERMINE (VERB): (दुर्बल करना): subvert
Synonyms: sabotage, threaten
Antonyms: enhance
Example Sentence:
This could undermine years of hard work.

10. UNFETTERED (ADJECTIVE): (निरंकुश): unrestrained
Synonyms: unrestricted unconstrained
Antonyms: restrained
Example Sentence:
His imagination is unfettered by the laws of logic. 

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Forwarded from PRACTICE REASONING PDF
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