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Multinational Corporations are spreading their productions in different ways : 

(a) By setting up partnership with local companies. 

(b) By placing orders with local companies. eg: Garments, Footwear, Sports items etc. 

(c) By closely competing with the local companies. 

(d) By buying local companies. eg: Cargill buying Parakh foods in India.

AC = x² – 3 + 7/x

MC = 3x² – 3

Getting BD = Rs. 927 

Rs. F = Rs. 30,900 

Given Discount = 10%, m. p = Rs.12,000, S.T = 8% 

Amount paid = S.P =? 

Discount of 10% on mp = 10% of Rs.12,000 

New m.p=12,000 – 1,200 = Rs.10,800 

\(=\frac{10}{100}\times 12,000 = 71,200\)

∴ Total amount to be paid = 10,800+8% of 10,800 

\(= 10,800 + \frac{8}{100}\times 10,800 \)

= 10,800 + 864 = Rs.11,664

\(\frac{x^2 - 6x + 9}{5 - 4x - x^2} \ge 0\)

⇒ \(\frac{(x - 3)^2}{-(x^2 + 4x - 5)} \ge 0\)

⇒ \(\frac{(x - 3)^2}{(x + 5) (x - 1)} \le 0\)

⇒ \((x -3)^2 = 0 \; or\;(x + 5) (x - 1) < 0\)   \((\because (x - 3)^2 \ge 0)\) 

⇒ \(x = 3 \;or\; -5< x< 1\)

⇒ \(x \in (-5, 1) \cup \{3\}\)

Let the monthly incomes be 2x and 3x respectively since their savings are Rs. 100 their expenditure would be (2x – 100) and (3x – 100) 

Given (2x - 100)/(3x - 100) = 3/5 ⇒ x = Rs. 100 

∴ Monthly incomes of A = Rs 400 

Monthly income of B = Rs. 600 

Amount required to purchase 10 TCS shares = 2,020 × 10 = 20,200 

Brokerage = 0.005 × 20,200 = 101 

Net amount = 20,200 + 101 = 20,301

Suppose the basic price (MP) of the washing machine = Rs. x 

∴ total amount paid = MP + ST % of MP 

13,530 = x + 0.1x 

x = 12,300

Given:

A can do the work in 15 days

B can do the work in 30 days

C can do the work in 60 days

Concept used:

If a person does the work in x days then work done by the person in 1 day = 1/x of total work.

Calculation:

Part of work done by A in a day = 1/15

Part of work done by B in a day = 1/30

Part of work done by C in a day = 1/60

Together they will do 1/15 + 1/30 + 1/60 of the total work in a day

Together they will do 7/60 of the total work in a day

Time taken to do the work = 1/(7/60)

⇒ Time taken to do the work = 60/7

∴ Together they will do the work in 60/7 days

From statements I and II

Let the capacity of a jar be x liters.

⇒ (1/9) × x = 27

⇒ x = 27 × 9

⇒ x = 243 litres

Capacity of a jar is 243 litres.

Quantity I: 3 kmph

Quantity II:

Speed of boat = 8.5 km/h

Let the speed of the stream be x km/h

⇒ Downstream speed = (8.5 + x)

⇒ Upstream speed = (8.5 – x)

According to the question,

(8.5 + x) = 3 × (8.5 – x)

⇒ 8.5 + x = 25.5 – 3x

⇒ 8.5 – 25.5 = -3x – x

⇒ 17 = 4x

⇒ x = 4.25

Speed of stream = 4.25 kmph

∴ Quantity I ˂ Quantity II

Given:

a : b = 4 : 5 and a : c = 3 : 4

Calculation:

To find a : b : c, a is made same in both the ratios,

Now, a/b = 4/5

⇒ b = 5a/4      ----(1)

And a/c = 3/4

⇒ c = 4a/3      ----(2)\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacaWGHbGaaiiOaiaacQdacaWGIbGaeyypa0JaaiiOamaalaaapaqa % a8qacaaI0aGaey41aqRaaG4maaWdaeaapeGaaGynaiabgEna0kaaio % daaaGaaiiOaiabg2da9iaacckadaWcaaWdaeaapeGaaGymaiaaikda % a8aabaWdbiaaigdacaaI1aaaaaaa!49ED! a\;:b = \;\frac{{4 \times 3}}{{5 \times 3}}\; = \;\frac{{12}}{{15}}\)

Dividing eq (1) and eq (2) we'll get

⇒ b/c = (5a/4)/(4a/3)

∴  b : c is 15 : 16

Given 

Time taken to complete a work  by A = 6 days 

Time taken to complete a work by B = 4 days

Both of them finish the work together and get = 300 Rs 

Formula used 

Efficiency = Work/Time 

Calculation 

Let the LCM of 6 and 4 = 12 

Then total work = 12 

The efficiency of A in 1 day = 12/6 = 2

The efficiency of B in 1 day = 12/4 = 3 

The efficiency of A and B in 1 day  = 2 + 3 = 5 

Then,  A gets  Rs. = (Total amount/The efficiency of A and B in 1 day) × efficiency of A

⇒ (300/5) × 2 = 120

∴ The share of A is 120 Rs.

Given:

A can fill a tank in 10 hours

B can fill a tank in 20 hours

C can empty a tank in 40 hours

Concept used:

If a tap can fill or empty a tank in x hours then the tank filled or emptied by the tap in 1 hour = 1/x of the total tank.

Calculation:

A can fill a tank in 10 hours

Tank filled by P in 1 hour = 1/10

B can fill a tank in 20 hours

Tank filled by Q in 1 hour = 1/20

C can empty a tank in 40 hours

Tank emptied by R in 1 hour = 1/40

Tank filled in 1 hour = 1/10 + 1/20 - 1/40

Tank filled in 1 hour = 5/40

Tank filled in 1 hour = 1/8

The tank will be filled in 1/(1/8) hours

∴ The tank will be filled in 8 hours

Quantity I:

C.P = 50% of selling price

⇒ 50 % × 8000 = Rs. 4000

⇒ Profit = Rs. (8000 – 4000) = Rs. 4000

Profit percent = (4000/4000) × 100 = 100 %

Quantity II:

Let the C.P. be Rs. x

⇒ 40% of x = 200

⇒ x = (200 × 100)/40

⇒ x = Rs. 500

Revised cost price = 500 + 20% of 500

⇒ 500 + 100 = Rs. 600

⇒ Profit = Rs. 1000 – Rs. 600 = Rs. 400

Profit percentage = (400/600) × 100%

⇒ 200/3%

∴ Quantity I > Quantity II

When a dice is tossed thrice, the sample space, is S = {(x,y,z):x,y z e (1,2,3,4,5,6}} 

which contains 6 x 6 x 6 = 216 Equally likely sample points.

 Let E: “an odd number at least once” 

E¹: not an odd number any time 

E¹: "An even number on all throws” 

E¹ = {(x, y, z): x,y, ze{2,4,6}j 

e¹ contains 3 x 3 x 3 = 27 equally likely simple events. Required probability = P(E) = 1 - P(E).

= 1 = 27/216 = 1 - 1/8 = 7/8

Given:

Ravi can complete the task in 6 days

Mohan can complete the task in 9 days

Formula used:

Total work = Efficiency × Time

Calculation:

Taking L.C.M of 6 and 9

⇒ L.C.M of 6 and 9 = 18

⇒ Efficiency of Ravi = (18/6) = 3

⇒ Efficiency of Mohan = (18/9) = 2

Time taken by Ravi and Mohan together to complete the work = 18/(3 + 2) = 18/5

⇒ 18/5 = \(3\frac{3}{5}\;days\)

∴ Ravi and Mohan together can complete the task in \(3\frac{3}{5}\;days\).

Total combination of balls = 2¹²
Combination of balls with no green balls = 2⁷
Combination of balls with no blue balls = 2⁸
Combination of balls with no blue balls  and no green balls = 2³

Required combination = 2¹² - 2⁷ - 2⁸ + 2³ = 3720

Parents and Teachers deserve to be treated with great respect

Respected principal Sir, all my teachers, and dear fellow students, very good morning to all of you. I am going to speak on the topic ‘Parents and teachers deserve to be treated with great respect’. Of course, we all should treat our parents with great respect because, after God, they are our makers. We learn everything from them.
They take all the pains to brighten our future. The same way we should treat our teachers with great respect because they are the nation builders. They prepare future citizens of a country. They teach us the difference between right and wrong. They teach us human values. With these words, I conclude my speech. Thank you all.

आदरणीय प्रधानाचार्य, शिक्षकगण और मेरे साथी छात्र-छात्राओ, सुप्रभात। मैं माता-पिता के अध्यापक बहुत सम्मान के योग्य हैं’ विषय पर बोलने जा रहा हूँ। हमें अपने माता-पिता का निश्चित रूप से बहुत सम्मान करना चाहिए, क्योंकि ईश्वर के बाद वही हमें बनाने वाले होते हैं। हम प्रत्येक बात उन्हीं से सीखते हैं। हमारे भविष्य को अच्छा बनाने के लिए वे सभी प्रकार के कष्ट उठाते हैं।
इसी प्रकार हमें अपने अध्यापकों का भी अत्यधिक सम्मान करना चाहिए क्योंकि वे राष्ट्र-निर्माता होते हैं। वे देश के भावी नागरिक तैयार करते हैं। वे हमें उचित-अनुचित एवं मानवीय मूल्यों का बोध कराते हैं। इन शब्दों के साथ मैं अपनी वाणी को विराम देता हूँ। धन्यवाद।

Green dyes =5

Blue dyes =4

Red dyes =3

The no of ways of choosing of at least one green and one blue is =(2⁵−1)×(2⁴−1)×2³

⇒(32−1)×(16−1)×8

⇒31×15×8

⇒3720

Answer is 17

In which quadrant does the point (–5, –4) lie 3^rd 

 Correct answer is d)Kerala

Correct answer is

c) Only a small nose stud can be worn

A guest who doesn’t arrive to pick up the reservation and for which formal cancellation is not done by them is called no-show.

• Hotel will compensate some amount of money and remaining money is refunded. 
• In case of natural circumstances like an earthquake, flight delayed total money are refunded to guest.

Correct option: a) Boredom

Correct option: c) Control Panel

Correct option: b) Dehradun

Correct option: b) Expertise

Correct option: c) Recycling

Correct option: d) Necessity

Correct answer is b) Ottawa 

A modern newspaper is a chronicle and Encyclopedia in miniature. 

The correct answer is Propaedia.

• The one-volume Propaedia is the 1st of 3  parts of the 15th edition of Encyclopaedia Britannica.
• The other 2 are the following
  • The 12-volume Micropaedia
  • The 17-volume Macropaedia
• The core of Propaedia is its Outline of Knowledge.
• The Propaedia is intended as a topical organization of Britannica's contents.

• The Propaedia also has several appendices listing advisors, staff members, and contributors to all three parts of the Britannica.
• In 2010, The last edition of the print Britannica was published.

[A] Sagwaan

For making blocks Sagwaan wood is used.

Correct answer is

(b) “R”

c) We unconsciously make some form of impression as soon as we meet.

d) De-hy-drate

Select the correct way to divide this word into syllables: DEHYDRATE is De-hy-drate.

Correct answer is c) The standard of the establishment 

Correct answer is d) Communication

Correct option: b) The standard of the establishment

[C] Binder used

Durability of pigment in printing depends upon Binder used.

a) Eyeglass

Eyeglass is a front office personnel are permitted to wear when in the department.

 Correct answer is c) a group of numbers or letters used by the post office to identify a region.

b) Hair should touch the collar line of shirt

Hair should touch the collar line of shirt is odd one out in grooming standards for men.

Correct answer is b) Chronicle 

Correct answer is c) Lucknow 

Correct answer is c) Beard 

Correct answer is d) Expensive and showy watches