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Correct option (D) Harmful

Explanation: 

Deadly : It means 'Fatal'. 

Hence, this is not a proper antonym to 'innocuous'. 

Ferocious : It means 'horrible' 

Hence, irrelevant to the opposite of 'innocuous'. 

Poisonous : It means 'venomous'. 

Hence, an irrelevant 'antonym'. 

Harmful : It is a perfect antonym of innocuous which itself means 'harmless'. 

Correct option (D) Nepotism

Explanation: 

Corruption : Irrelevant

Worldliness : Irrelevant 

Favouritism : Irrelevant  

Nepotism :Because It's a kind of corruption in which the authority in power takes the advantage of giving opportunity to their relatives in their self interest. 

Correct option (B) Shuttle

Explanation: 

Cross : (to pass by, to intersect) 

It means different 

Hence, irrelevant. 

Shuttle : (Proper answer) 

It's a kind of "regular beats" of an air flight or bus service between the two stations. 

Travel : It means to journey. 

Hence, irrelavent. 

Run : (to move regularly) 

Hence, irrelevant. 

The last two lines of the poem mean the acceptance of reality. The poet made a choice and accepted the challenging path. He took and unexplored path in his life. He wanted to do something different in his life so he chooses the less travelled road. No he does not regret his choice.

Correct option (A) Broke out

Explanation: 

Broke out : (to start suddenly) 'Correct and relevant' option because it is used for 'wars' and 'diseases' e.g. cholera broke out in Surat in 1985.

Set out : (to start) 

it is different because it is used when one leaves for somewhere 

e.g. He set out on his long voyage to Achilese. 

took out : (incorrect use) 

Because it means differently. e.g. He took out a one rupee coin to give to the beggar. 

Went out : (Incorrect use) Because meaning is different

e.g. : The light went out when I was preparing for my Board Exams. 

The correct option is (c) kidney.

Examples to show that friction is a friend and a foe: 

Friction is friend: 

(i) Friction allows us to grip and catch different objects. 

(ii) It helps us to walk comfortably on the surface. 

(iii) It helps to minimize the speed or to stop the moving objects. 

(iv) It helps us to write on paper or blackboard. 

(v) The things do not move from their places if we do not want to move, due to friction. 

Friction is foe: 

(i) Friction causes wear and tear in objects. 

(ii) It causes damage to the parts of machines. 

(iii) The machines or tools regular maintenance due to which a lot of money is wasted. 

(iv) It reduces the speed of moving objects so more force is required. 

(v) It does not allow the free movement of objects.

1 cm = 1/100 m

1.5 cm = 1.5 x 1/100 m 

= 15/1000 m

= 0.015 m

The correct option is: (a) 1 and 3

Explanation:

Diamond is hard and bad conductor but Graphite is soft and good conductor.

The correct option is: (d) 1, 3 and 4

Explanation:

The primary greenhouse gases in Earth's atmosphere are water vapour, carbon dioxide, methane, nitrous oxide and ozone. 

The correct option is: (c) 1 only

Explanation:

Superphosphate of lime – Ca(H₂PO₄)₂ 

 Urea – CO(NH₂)₂ 

 Indian saltpetre – KNO₃ 

 Chile saltpetre – NaNO₃

The correct option is: (b) Lead-Galena

Explanation:

Haematite – Iron (Fe₂O₃) 

 Galena – Lead (PbS) 

 Bauxite – Aluminum (Al(OH)₃) 

 Malachite – Copper (Cu₂CO₃(OH)₂)

People face the Challenge of Expansion of democracy.

(c) can produce perfectly homogeneous solution.

Ultrasonic waves can produce perfectly homogeneous solution. It is used in homogenising milk cosmetics, etc.

Decreased extracellular potassium leads to hyperpolarization:

Lower potassium levels in the extracellular space will cause hyperpolarization of the resting membrane potential. As a result, a greater than normal stimulus is required for depolarization of the membrane in order to initiate an action potential.

The structure of the voltage gated K⁺ channel is that of six transmembrane helices along the lipid bilayer. 

Activation and deactivation of the voltage gated K⁺ channel is triggered by conformational changes in the voltage sensing domain. Specifically,  the S₄ domain moves such that it activates and deactivates the pore. During activation, there is outward S₄ motion, causing tighter VSD-pore linkage. Deactivation is characterized by inward S₄ motion. 

The switch from depolarization into repolarization is dependent on the kinetic mechanisms of both voltage gated K⁺ and Na⁺ channels.

Although both voltage gated Na⁺ and K⁺ channels activate at roughly the same voltage (-50 mV), Na⁺ channels have faster kinetics and activate/deinactivate much more quickly.

Repolarization occurs as the influx of Na⁺ decreases (channels deinactivate) and the efflux of K⁺ ions increases as its channels open.

Three biochemical catalysts found in a human body are:  

(1) Amylase 

(2) Lipase 

(3) Protease

The correct option is: (b) (ii) and (iii)

Let x_n be the number of ways in which A can get back the ball after n passes. Let y_n be the number of ways in which the ball goes back to a fixed person other than A after n passes. Then 

x_n = 3y_n - 1; 

and 

y_n = x_n - 1 + 2y_n -1: 

We also have x₁ = 0, x₂ = 3, y₁ = 1 and y₂ = 2. 

Eliminating y_n and y_n-1, we get x_n+1 = 3x_n-1 + 2x_n.Thus 

x₃ = 3x₁ + 2x₂ = 2 x 3 = 6; 

x₄ = 3x₂ + 2x₃ = (3 x 3) + (2 x 6) = 9 + 12 = 21; 

x₅ = 3x₃ + 2x₄ = (3 x 6) + (2 x 21) = 18 + 42 = 60; 

x₆ = 3x₄ + 2x₅ = (3 x 21) + (2 x 60) = 63 + 120 = 183; 

x₇ = 3x₅ + 2x₆ = (3 x 60) + (2 x 183) = 180 + 366 = 546: 

Alternate solution: Since the ball goes back to one of the other 3 persons, we have 

x_n + 3y_n = 3ⁿ; 

since there are 3ⁿ ways of passing the ball in n passes. Using x_n = 3y_{n -1}, we obtain 

x_n-1 + x_n = 3^n-1; 

with x₁ = 0. Thus 

x₇ = 3⁶ - x⁶ = 3⁶ - 3⁵ + x⁵ = 3⁶ - 3⁵ + 3⁴ - x₄ = 3⁶ - 3⁵ + 3⁴ - 3³ + x₃ 

= 3⁶ - 3⁵ + 3⁴ - 3³ + 3² - x₂ = 3⁶ - 3⁵ + 3⁴ - 3³ + 3² - 3 

= (2 x 3⁵) + (2 x 3³) + (2 x 3) = 486 + 54 + 6 = 546:

Put x = 0 and we get f(yf(0)) = 0. If f(0) ≠ 0, then yf(0) takes all real values when y varies over real line. We get f(x) ≡ 0. Suppose f(0) = 0. Taking y = -x, we get f(x² - xf(x))  = 0 for all real x. 

Suppose there exists x₀ ≠ 0 in R such that f(x₀) = 0. Putting x = x₀ in the given relation we get 

f(x²₀) = x₀f(x₀ + y); 

for all y ∈ R. Now the left side is a constant and hence it follows that f is a constant function. But the only constant function which satisfies the equation is identically zero function, which is already obtained. Hence we may consider the case where f(x) ≠ 0 for all x ≠ 0. 

Since f(x² - xf(x)) = 0, we conclude that x² - xf(x) = 0 for all x ≠ 0. This implies that f(x) = x for all x ≠ 0. Since f(0) = 0, we conclude that f(x) = x for all x ∈ R. 

Thus we have two functions: f(x) ≡ 0 and f(x) = x for all x ∈ R.

Let K denote the orthocenter of triangle APQ. Since triangles ABC and AQP are similar it follows that K lies in the interior of triangle APQ. 

Note that ∠KPA = ∠KQA = 90⁰ - ∠A. Since BPKQ is a cyclic quadrilateral it follows that ∠BQK = 180⁰ - ∠BPK = 90⁰ - ∠A, while on the other hand ∠BQK = ∠BQA - ∠KQA = ∠A since BQ is perpendicular to AC. This shows that 90⁰ - ∠A = ∠A, so ∠A = 45⁰.

Suppose that p ≤ q. Since q divides (p - 1)(p + 1) and q > p - 1 it follows that q divides p + 1 and hence q = p + 1. Therefore p = 2 and q = 3. 

On the other hand, if p > q then p divides (q - 2)(q + 2) implies that p divides q + 2 or q - 2 = 0. This gives either p = q + 2 or q = 2. In the former case it follows that that q divides (q+2)²-1, so q divides 3. This gives the solutions p > 2; q = 2 and (p; q) = (5; 3).

Note that g(1) = f(1) = 0, so 1 is a root of both f(x) and g(x). Let p and q be the other two roots of f(x), so p² and q² are the other two roots of g(x). We then get pq = - c and p²q² = -a, so a = - c². Also, (- a)² = (p+q+1)² = p²+q²+1+2(pq+p+q) = - b+2b = b. Therefore b = c⁴. Since f(1) = 0 we therefore get 1 + c - c² + c⁴ = 0. Factorising, we get (c + 1)(c³ - c² + 1) = 0. Note that c³ - c² + 1 = 0 has no integer root and hence c = -1; b = 1; a = -1. Therefore a²⁰¹³ + b²⁰¹³ + c²⁰¹³ = -1.

Lets the first number be x and another number be y.

According to the question:

\(\frac{1}{4} x = 5y\)

x = 20y

and \(\frac{x}{y} = \frac{20}{1}\)

x : y = 20 : 1

then x + y = 21

x = \(\frac{20}{21} \times 210\)

x = 20 x 10

x = 200

and y = \(\frac{1}{21} \times 210\)

y = 1 x 10

y = 10

Hence, first number is 200 and another number is 10.

The parties to a bill of exchange are Drawer, Drawee & Payee.

The amount by which the debit side of P&L account exceeds the credit side is called Net loss.

In Statement of affairs the difference of assets and liabilities side is known as Capital.

Out of the following which is the cause of Depreciation Normal wear and tear.

Which of the following is not shown in profit and loss account Carriage Inwards.

Which of the following is shown on credit side of trading account Closing stock.

The amount of Depreciation to Machinery is credited to Machinery Account.

Statement of financial position produced from incomplete accounting record is commonly known as Statement of Affairs.

Bank reconciliation statement is the comparison of a bank statement with Cash Book.

Radio has been an effective media source in a country like India .With the recent rise in private channels (FM) on radio a new chapter has begun for this media. Currently major orgnisations (like real estate , educational institutions , amusement parks etc) are using this media actively. Also this media is connected very well to the young prospective buyers .

Newspapers as a media of advertising:

Newspapers are a very common media of advertising. The advertiser communicates his/her message through newspapers because of its wide circulation. The cost of advertising is relatively low. The copy of advertisement can be given to the newspapers at a very short notice. As the newspapers are published from different regions and different languages they provide greater choice to advertisers to approach the desired market, region and readers through local or regional language. 

Advantages of an email: 

1. Fast: It is a fast method of communication; 

2. Economical- It is an inexpensive method of communication; 

3. little chance of loss in transmission: As compared to traditional sources of communication, there is little chance of loss in transmission.

Purchase is process through which a person gets some goods or properties transferred in his name from another in exchange of money. It also includes availing of services by one person from another for money. 

Besides listening to the voice, the participants of the conference can also see the picture of each other while talking themselves. This is called video conferencing. There are two different types of video conferencing processes. i. One-way video and two way audio: In this system, the participants can listen to the voice and see the picture of the persons sitting in the studio. The audience maintains a contact with the studio through telephone and the persons in the studio listen to the voice of the participants. ii. Both way audio and video: Here participants at both the ends i.e studio as well as audience end, are able to listen to the voice and see the picture of each other while talking amongst themselves.

(b) humidity inside the fridge is low and extra moisture is absorbed

Explanation:

Because the humidity inside the fridge is low and extra moisture is absorbed.

Population is different age groups are:

The correct option is : (C)

Explanation:

Nickel silver, also known as German silver, is a copper alloy with nickel and often zinc. Solders are typically made from tin or lead or a combination of both in the ratio of 63:37 respectively.

Calcium hypochlorite, also known as bleaching powder, is a chemical compound with formula  Ca(ClO)₂. It is widely used for water treatment and as a bleaching agent. This chemical is considered to be relatively stable and has greater available chlorine than sodium hypochlorite (liquid bleach).

Hypo solution is the abbreviation for sodium thiosulphate or sodium hyposulphite, a chemical used to fix the image on photographic film after it has been developed.

(d) Combines with haemoglobin and makes it incapable of absorbing oxygen.

Explanation:

When CO is not ventilated it binds to haemoglobin, which is the principal oxygen-carrying compound in blood; this produces a compound known as carboxyhaemoglobin. The traditional belief is that carbon monoxide toxicity arises from the formation of carboxyhaemoglobin, which decreases the oxygen-carrying capacity of the blood and inhibits the transport, delivery, and utilization of oxygen by the body.

Both filtration and reabsorption are directly proportional to the concentration of glucose in the plasma. However, while the average maximum reabsorption is about 375 mg/min in healthy individuals, filtration has effectively no limit (within reasonable physiological ranges.)

(c) in a tube, electrical energy is almost converted into light

In a fluorescent tube, electrical energy is almost converted into light. The inner wall of the fluorescent tube is coated with phosphorus which immediately transformed into bright light.

(d) The dimmer bulb has larger resistance

The dimmer bulb has larger resistance than the brighter one. 

Power of the bulb ∝ 1 / Resistance

Resistance is the obstruction offered to the flow of current.

The correct option is: (d) 1, 2 and 4

Operating system is an example of system software.

Free toothbrush with 500 grams pack of Toothpaste” is an example of Premium offer 

The correct option is: (c) (i) and (ii)

Explanation:

In the presence of moisture and nutrients, the fungi show enormous growth and produce large number of spores.

(a) Purchase by Sample : 

When goods are bought in bulk, it is not possible to inspect the whole lot to be purchased. Therefore the buyer examines a sample or pattern to decide the goods to be purchased. A sample is a specimen of goods particularly of raw materials, foodstuffs etc. It is representative of the bulk. Its quality largely reflects the quality of the whole lot. In case of purchase by sample it is agreed upon both the parties that the bulk supply shall be of the same quality as that of the sample.

(b) Purchase by Inspection: 

In Case of purchase by inspection the buyer personally goes to the shop for checking the quality of the product to be bought. This is the most common method of buying. It is mostly used in case of retail buying.