matplotlib. pyplot is a collection of command style functions that make matplotlib work like MATLAB. Each pyplot function makes some change to a figure: e.g., creates a figure, creates a plotting area in a figure, plots some lines in a plotting area, decorates the plot with labels, etc.

Advantages of Optical Fiber

Cheap—Long, continuous miles of optical fiber cable can be made cheaper than equivalent lengths of copper wire. With numerous vendors swarm to compete for the market share, optical cable price would sure to drop.

Thinner and light-weighted—Optical fiber is thinner, and can be drawn to smaller diameters than copper wire. They are of smaller size and light weight than a comparable copper wire cable, offering a better fit for places where space is a concern.

Higher carrying capacity—Because optical fibers are much thinner than copper wires, more fibers can be bundled into a given-diameter cable. This allows more phone lines to go over the same cable or more channels to come through the cable into your cable TV box.

Less signal degradation—The loss of signal in optical fiber is less than that in copper wire.

Light signals—Unlike electrical signals transmitted in copper wires, light signals from one fiber do not interfere with those of other fibers in the same fiber cable. This means clearer phone conversations or TV reception.

Long lifespan—Optical fibers usually have a longer life cycle for over 100 years.

Disadvantages of Optical Fiber

Low power—Light emitting sources are limited to low power. Although high power emitters are available to improve power supply, it would add extra cost.

Fragility—Optical fiber is rather fragile and more vulnerable to damage compared to copper wires. You’d better not to twist or bend fiber optic cables too tightly.

Distance—The distance between the transmitter and receiver should keep short or repeaters are needed to boost the signal.

B12 is a valid cell address. 

Z35 will be the address of a Cell at Column Z and row number 35.

ALTER TABLE player DROP Games

Answer: Drop table Club

Drop table "club"

Drop table "club"

The correct answer is M.Adhikari.

• The Advocate General office of M.P. came into existence in November 1956 upon the formation of the State of M.P. as per the State Re-Organisation Act 1956 when the High Court of M.P. was established. 
• On the formation of the new State of M.P., Shri M. Adhikari became the first Advocate General for the State of Madhya Pradesh.
• The AG's Office presents all the cases in which the Govt. of Madhya Pradesh is one of the parties, in the High Court of M.P. Central Administrative Tribunal (CAT).

• Shri Purshendra Kaurav is the Advocate General at present. (Dec-2020)

स्थायी विकास ऐसा विकास है जो भावी पीढ़ियों की अपनी निजी आवश्यकताओं की पूर्ति की योग्यता से बिना किसी तरह का समझौता किए बिना अपनी मौजूदा आवश्यकताओं की पूर्ति करता है।

Akbar was enthroned in a garden at Kalanaur.

Explanation:

given,

p ⊙ q = p - q, and p ⊕ q = p × q, that means

⊙ = - (subtraction) and ⊕ = × (multiplication)

Then,

(9 ⊙ (6⊕ 7)) ⊙ (7 ⊕ (6 ⊙ 5)) = (9 - (6 × 7)) - (7 × (6 - 5)) = (9 - 42) - 7 = - 40

(9 ⊙ (6⊕ 7)) ⊙ (7 ⊕ (6 ⊙ 5)) = - 40

Correct option is C) on / in

Correct option is B) during

Correct option is B) during / for

Correct option is D) on

C_nH_2n+2 represents a saturated hydrocarbon.

C₂H₄ and C₃H₆ are alkenes.

Statement I.

Relation between Ram and his brother’s age is given. None of the ages are given

So, Statement I alone is not sufficient

Statement II.

Ratio of the ages are given

Let Ram’s age be 3x

Ram’s Brother age = 2x

Value of the ages are not given

So, statement II alone is not sufficient

Combining Statement I and Statement II

3x – 8 = 2x

x = 8

Ram’s age = 3 × 8 = 24 years

∴ Both the statements I and II together are needed to answer the question.

Given:

Ram and Shayam can complete a work together = 28 days

Shayam alone can complete work = 49 days

Both Ram and Shayam work for 8 days then Ram leave the work

Concept:

Total work = Time × Efficiency

Calculation:

Both Ram and Shayam work done in 8 days = 8 × 7 = 56 unit

Remaining work = 196 – 56 = 140 unit

Let, Remaining work done by Shayam in x days

Then, x = 140/4 = 35 days

∴ Shayam will finish the remaining work in 35 days.

Given:

A tap drips at a rate of one drop/sec 1200 drops make 200 ml

Number of liters wasted in 600 days

Concept used:

1 liter = 1000 ml

1 hours = 60 minutes

1 minutes = 60 seconds

Calculation

600 days = 600 × 24 × 60 × 60 seconds

Given 1200 drops = 200 ml

Then 12 drops = 2 ml

6 drops = 1 ml

Wasted water = (600 × 24 × 60 × 60) ÷ 6

Wasted water = 8640000 ml

Wasted number in liters = 8640 liters

∴ Wasted quantity is 8640 liters 

Calculation:

Let the speed of person in still water be x and speed of current be y

According to question,

x – y = 3           …..1

x + y = 7           …..2

Adding equation 1 and 2

2x = 10

X = 5 km/hr

⇒ Speed of person in still water = 5 km/hr

Answer is (c) ketone 

The alkyl part (carbon chain) of an organic compound determines its physical properties whereas the functional group determines its chemical properties

Mathematics is the study of geometrical figures, their co-relation, and their dependency on each other. It deals with quantity, measurement, and spatial relationships.

• The National Policy of Education (1986) lays down the importance of "mathematics" as a vehicle for developing creativity.
• The teacher should use effective teaching methods of mathematics so that individualized discovery-oriented (or problem-solving) learning could be fostered.

• In 2012 our former prime minister Dr. Manmohan Singh declared that every year 22nd December will be celebrated as the National Mathematics Day in India.
• It is to give respect and homage to the legendary mathematician "Srinivasa Ramanujan" who was born on 22nd December 1887 in Tamilnadu and died at the age of 32.
• The main aim of celebrating this day is to make people aware of the importance of mathematics in our daily life.
• At the age of 12, he had mastered trigonometry and he developed many theorems on his own without any formal training in mathematics.
• He mainly contributed to the number theory and infinite series. In 1918, he was elected to the royal society of London.

Hence, it could be concluded that Mathematics day is observed on 22nd December.

• The international day of mathematics is celebrated on 14th march as declared by UNESCO (United Nations Educational, Scientific and Cultural Organization).
• 14th march also celebrated as (π) Pi Day.

Given:

Time taken by A and B to together complete the work = 7 days

Time taken by B and C to together complete the work = 8.75 days

Time taken by A to complete the work alone = 10.5 days

Concept Used:

If a person takes x days to complete a work, the part of the work completed by him in 1 day = 1/x

Calculation:

Part of the work completed by A and B together in 1 day is obtained as:

(1/A) + (1/B) = 1/7      ----(i)

Part of the work completed by B and C together in 1 day is obtained as:

(1/B) + (1/C) = 1/8.75 = 4/35      ----(ii)

Part of the work completed by A alone in 1 day is obtained as:

1/A = 1/10.5 = 2/21       ----(iii)

We substitute the value of (1/A) into equation(i) to obtain:

(2/21) + (1/B) = 1/7

⇒ 1/B = 1/21       ----(iv)

Hence, B takes 21 days to complete the work alone

Now, we substitute the value of (1/B) into equation(ii) to obtain:

(1/21) + (1/C) = 4/35

⇒ 1/C = (4/35) – (1/21) = 1/15

Hence, the time required by C to complete the work alone = 15 days

So, the time C will need to complete double the amount of work will be:

2 × 15 = 30 days

∴ The time C will take to complete double the same amount of work, when working alone, will be 30 days

Given:

A is 30% more efficient than B

B is 20% less efficient than C

Concept Used:

Efficiency = Total work/Total time

Calculation:

C : B = 100 : 80

A : B = 104 : 80

A : B : C = 104 : 80 : 100

⇒ A : B : C = 26 : 20 : 25 (Efficiency Ratio)

L.C.M of 26, 20, 25 is 1300

Ratio of their days is A : B : C = \(\frac{{1300}}{{26}}{\rm{\;}}:{\rm{\;}}\frac{{1300}}{{20}}{\rm{\;}}:{\rm{\;}}\frac{{1300}}{{25}}\)

⇒ A : B : C = 50x : 65x : 52x

A takes 8 days less than C to complete the work.

(52x – 50x) = 2x

⇒ 2x = 8 days

⇒ 65x = 260 days

∴ B takes 260 days to complete the job          

Calculation

A can complete work in 'x' days

B can complete work in 'y' days

C can complete work in 'z' days

A's one-day work = 1/x

B's one-day work = 1/y

C's one-day work = 1/z

A, B and C's one-day work = 1/x + 1/y + 1/z

\(\Rightarrow {xy + yz + zx \over xyz}\)

Time taken by A, B and C together to complete the work = 1/A, B and C's one-day work

\(\Rightarrow \frac{{xyz}}{{xy + yz + zx}} days\)

Correct option is D) on 

Given:

Rohan can complete the project in 20 days

Rajat and Bishal together can complete it in 9 days.

Bishal alone takes 15 days to complete the project.

Concept:

Efficiency = Total work/Total time

Calculation:

The L.C.M of 20, 9, and 15 is 180

⇒ Efficiency of Rohan = 180/20 = 9

⇒ Efficiency of Rajat and Bishal = 180/9 = 20

⇒ Efficiency of Bishal = 180/15 = 12

Efficiency of Rajat is (20 – 12) = 8

At first, Rohan will work for 8 days

So he will do 9 × 8 = 72 units

So remaining (180 - 72) = 108 units is to be done by Rajat and Bishal.

Bishal has left 6 days before completion of the project.

So last 6 days only Rajat will work

Rajat alone will do 6 × 8 = 48 units

So remaining (108 - 48) = 60 units have been completed by Rajat and Bishal in 60/20

⇒ 3 days

Total time taken by all of them is 8 + 3 + 6 = 17 days

∴ In 17 days the project be completed and on Thursday will it be completed.

p = 1% = \(\frac1{100}\)

q = 1 - p = 1 - \(\frac1{100}\) = \(\frac{99}{100}\), n = 200

(i) Probability that almost two defective part in the package = \(P(x\le 2)\)

\(P(0) + P(1) + P(2)\)

\(= \,^{200}C_0 \,p^0\, q^{200} + \,^{200}C_1 \,p\,q^{199}+ \,^{200}C_2 p^2 q^{198}\)

\(= \left(\frac1{100}\right)^0 \left(\frac{99}{100}\right)^{200}+ \,^{200}\left(\frac1{100}\right) \left(\frac{99}{100}\right)^{199} + \frac{200.199}{2}\left(\frac1{100}\right)^2\left(\frac{99}{100}\right)^{198}\)

\(= \left(\frac{99}{100}\right)^{198} \left(\left(\frac{99}{100}\right)^2 + 2\left(\frac{99}{100}\right)+ \frac{199}{100}\right)\)

\(= \left(\frac{99}{100}\right)^{198} \left(\frac{9801 + 19800 + 19900}{10000}\right)\)

\(= \left(\frac{99}{100}\right)^{198} \times \left(\frac1{100}\right)^2 \times 49501\)

(ii) Probability that at least two defective part in the package = \(P(x\ge 2)\)

\(= 1- P(0) - P(1)\)

\(= 1- \,^{200}C_0 \,p^0\,q^{200} -\, ^{200}C_1\,p\,q^{199}\)

\(= 1 - \left(\frac1{100}\right)^0 \left(\frac{99}{100}\right)-\,^{200}\frac1{100}\left(\frac{99}{100}\right)^{99}\)

\(= 1 - \left(\frac{95}{100}\right)^{199} \left(\frac{99}{100}+2\right)\)

\(= 1 - \left(\frac{99}{100}\right)^{199} \left(\frac{299}{100}\right)\)

Correct option is C) off

(i) Since, Redfort remains close on Monday.

So, none of them visits Redfort on Monday 

∴ Probability of visiting Redfort on Monday = 0.

(ii) Probability of not visiting Redfort on Monday

= 1 - Probability of visiting Redfort on Monday 

= 1 - 0

= 1

(iii) They both decides the visiting day by throwing  a die. If out comes of both dies are same then the visit Redfort on Same day otherwise on different day.

∴ Probability of visiting Redfort on same day = Probability that both die will give same out comes

\(=\frac{6}{36} = \frac16\)

(iv) Probability of visiting Redfort on different day = Probability that both die will give different outcomes

\(= \frac{30}{36} = \frac56\)

Correct option is B) for

Correct option is D) away

Correct option is C) up

The correct answer is option (3) i.e. Urdu.

• Hindi is the official language of Bihar and Urdu is the additional official language.
• Bihar was formed in 22nd March 1912. 22nd March is celebrated as Bihar Diwas.
• Capital of Bihar is Patna and the High Court of the state is also in Patna.
• Bihar has both Legislative Assembly as well as Legislative Council.
• The state is divided into nine divisions with thirty-eight districts.

Correct option is B) out

Correct option is A) put / up

The correct answer is option (1) i.e. 1912.

• The Bihar was formed in 22nd March 1912 and got statehood in 26th January 1950.
• Capital of Bihar is Patna. It is also the largest city of Bihar among all the 38 districts of Bihar.
• It is third populated state in India after Uttar Pradesh  and Maharashtra. Hindi is its official language.
• There are presently 40 seats from Lok Sabha and 16 seats from Rajya Sabha is for Bihar.
• According to the 2011 census sex ratio of the state is 918:1000 and 63.82 % is the literacy rate of Bihar.

Correct option is B) get on with

Correct option is A) over

The scope of environmental studies is very wide and it deals with many areas like i) Conservation of natural resources, ii) ecological aspects, iii) pollution of the surrounding natural resources, iv) controlling the pollution, v) social issues connected to it, and vi) impacts of human population on the environment.

Correct option is E) less