Explore topic-wise InterviewSolutions in Current Affairs.

Given:

The given data = \(1, \dfrac{1}{2}, \dfrac{1}{2}, \dfrac{3}{4}, \dfrac{1}{4}, 2, \dfrac{1}{2}, \dfrac{1}{4}, \dfrac{3}{4}\)

Formula:

The mode of a set of data values is the value that appears most often.

Calculation:

Mode of the data = 1/2

Given:

The observations are 10, 9, 8, 7, 8, and 6

Total number of observations = 6

Formula used:

Mean = Sum of all observations/Total number of observations

Calculation:

Mean = (10 + 9 + 8 + 7 + 8 + 6)/6

⇒ Mean = 48/6 = 8

∴ Mean is 8

Answer: (D) All of these

Correct option:

(B) x = 0, z = 0 

Enterohepatic circulation refers to the process whereby a drug or a metastable metabolite thereof in the liver is secreted into the bile, stored in the gall bladder, and subsequently released into the small intestine, where the drug can be reabsorbed back into circulation and subsequently returned to the liver.

Correct option:

(B) 9/2

Correct option:

(B) z = 0 

Correct answer is 7/15.

dy/dx + y.cot x = 2x + x² .cotx

Let P = cot x, Q = 2x + x²cot x 

I.F = e^∫pdx = e^∫cotxdx = e^{∫log(sin x)} = sin x 

Sol is 

y (I.F) = ∫ (QxI.F) dx +C 

y sinx = ∫(2x + x²cotx)sin dx + c 

= ∫(2x + x² cotx) dx +c 

= 2 ∫ x sin xdx + ∫x² cosx dx + c 

= 2[x(-cosx)-(1)(-sinx)] +[x² sinx - 2x(-cosx) + 2c(-sinx)] =2xcos x + 2sin x + x²sinx y sin x 

= x² sinx + c 

This is the Required General solution for the given differential Equation.

(i) 53,200 

(ii) 61,360 

(iii) 630

\(\begin{bmatrix} -1 & -1 & 3 \\ -1 & -3 & -10 \\ -5 & 4 & -6 \end{bmatrix},X = \begin{bmatrix} 1 & 1 & 3 \\ 1 & 3 & 10 \\ 5 & -4 & 6 \end{bmatrix}\)

[-1, -1, 3][-1, -3, -10][-5, 4, -6], X = [1, 1, 3][1, 3, 10][5, -4, 6]

Correct answer is \(1-\frac{1}{x^2}\).

1 - 1/x²

Leap year 366 days

∴ 52 x 7 = 364 days

2 days extra

These 2 extra days might be:

(Sun, Mon), (Mon, Tue), (Tue, Wed), (Wed, Thu), (Thu, Fri), (Fri, Sat), (Sat, Sun)

Favourable outcomes = (Sun, Mon), (Mon, Tue)

No. of outcomes = 2

Total days in week = 7

∴ P(52 Mondays) = 2/7

(i) a^m x b^m = [a x a x ... x a (m times)] x [b x b x ... x b (m times)]

= ab x ab x ... x ab (m times)

= (ab)^m

(ii) (a/b)^m = a/b x a/b x ... x a/b (m times)

\(=\frac{a\times a\times ...\times a(\text{m times})}{b\times b\times...\times b(\text{m times})}=\frac{a^m}{b^m}\)

(iii) ∵ a^m.a^-m = a^m x 1/a^m = 1

⇒ a^m-m = 1 (∵ a^m.aⁿ = a^m+n)

⇒ a⁰ = 1

(b) Rs. 175

If Rs. 100 share is quoted at 75 premium, then its market value is Rs. 175.

(D)

(p v q) → ( p ∧ q) 

Its inverse is 

~ (p v q ) → ~ ( p ∧ q) 

≡ (~p ∧ ~q) (~p v ~q)

(b) Non-negative restrictions

The conditions x ≥ 0, y ≥ 0 are called Non-negative restrictions.

Understanding dimensions is of utmost importance as it helps us in studying the nature of physical quantities mathematically. The basic concept of dimensions is that we can add or subtract only those quantities which have same dimensions. Also, two physical quantities are equal if they have same dimensions, these basic ideas help us in deriving the new relation between physical quantities, it is just like units.

Correct answer is (a) Acute

Correct answer is (b) Adiabatic

The gravitational field intensity \(\vec E_1\) , at a point is defined as the gravitational force experienced by unit mass at that point. It’s unit N kg^-1.

correct option:

(C) πa²

correct option:

(C) 14/3 sq. unit

Correct answer is (c) π/2

correct option:

(A) π/2

1. A gas consists of a very large number of molecules. Each one is a perfectly identical elastic sphere. 

2. The molecules of a gas are in a state of continuous and random motion. They move in all directions with all possible velocities. 

3. The size of each molecule is very small as compared to the distance between them.

Hence, the volume occupied by the molecule is negligible in comparison to the volume of the gas:

4. There is no force of attraction or repulsion between the molecules and the walls of the container.

(c) Increase four times

When a drop of water falls on a very hot iron it gets insulated from the hot iron due to a thin layer of water vapour which is a bad conductor of heat. It takes quite long to evaporate as heat is conducted from hot iron to the drop through the insulating layer of water vapour very slowly.

(d) Separation between the source and the observer

Correct answer is (b) Force

(a) 0.33 m

f = 900 MHz = 900 × 10⁶ Hz 

Speed of wave (c) = 3 × 10⁶ ms^-1 

λ = \(\frac{v}{f}\) =\(\frac{3 \times 10^8}{900 \times 10^6}\) = \(\frac{1}{3}\)= 0.33m

1. Mass of body 

2. Size and shape of body 

3. Mass distribution w.r.t. axis of rotation 

4. Position and orientation of rotational axis

1. This system makes use of only one unit for one physical quantity, which means a rational system of units 

2. In this system, all the derived units can be easily obtained from basic and supplementary units, which means it is a coherent system of units.

3. It is a metric system which means that multiples and submultiples can be expressed as powers of 10.

(a) 150 ms^-1

From standard equation of wave, Y = a sin (ωt – kx + ϕ)

ω = 300 ; k = 2 

Speed of wave, V = \(\frac{ω}{k}\) = \(\frac{300}{2}\) = 150 ms^-1

Here G-gravitational constant 

r – radius of orbit M – mass 

Dimensional formula for T = T 

Dimensional formula for r = L 

Dimensional formula for G = M^-1 L³ T² 

Dimensional formula for M = M

(a) T² M° L° = [L³ ] [M L^-3 T^-2 ] 

T² M° L° = L° MT² – Not correct 

(b) T² = [L³ ][ML^-3 T^-2 ][M^-1] 

T² = T² – Dimensionally correct

No. According to Newton’s third law, for every action, there is an equal and opposite reaction. So, whatever case we consider, if there is an action there is always a reaction. So it is impossible.

Correct answer is  (a) Zero

Correct answer is (d) 250 J

Workdone = P. ∆V = 10³ x 0.25 = 250 J

Workdone, W = mgh 

W = (Weight) × depth 

= 2.8 × 20 

W = 56 J

Correct answer is (d) Isothermal

Correct answer is  (c) \(\sqrt{5gR}\)

Correct option is (A) 9

Let r be the radius of spherical balloon

S = Surface area

S = 4πr²

^{\(\frac{dS}{dt}=8πr \times\frac{dr}{dt}=k(constant)\)}

4πr² = kt + C (C is constant of integration)

For t = 0, r = 3 ⇒ 36π = C

For t = 5, r = 7 ⇒ K = 32π

4πr² = 32πt + 36π

r² = 8t + 9

for t = 9

r² = 81

r = 9

The hydraulic brake system works on the Pascal’s Law. 

Pascal’s law states that “The confined liquid transmits pressure intensity equally in all directions”.

1. Know your product: The executive must know what products/service you are offering. In other words, be an information expert. It is okay to say ‘I don't know’, but it should always be followed up by "but let me find out" or possibly "but my friend knows!" Whatever the situation may be, make sure that you don't leave your customer with an unanswered question. 

2. Body Language/Communication: Most of the communication is done through executive’s body language. If he/she has a negative body language when he/she interact with others it can show his/her lack of care. Two of the most important aspects of positive body language are smile and eye contact. Make sure to look in the eyes of customers. It shows that he/she is listening to them. And then of course, smiling makes the conversion more positive. 

3. Anticipate Guest Needs: Nothing surprises a customer more than an employee going the extra mile to help them. Always look for ways to serve any customer in more ways than they expect. In doing so it helps them to know that the executive care and it will leave them with the "Feel Good Factor" that they were searching for.

The procedure of removing trapped air from the hydraulic brake system is called bleeding of brake system.

Giving loans to those businesses, NGOs and persons who promote/indulge in green jobs. Building infrastructures with eco-friendly materials

A green economy is defined as a low carbon, resource-efficient and socially inclusive economy.

Power assisted brake booster is the component incorporated in the hydraulic brake system of heavy motor/ commercial vehicles to increase the pressure applied by the driver.