Explore topic-wise InterviewSolutions in Current Affairs.

Correct option is (1) Visualising agent in mobile phase

U = \(\frac{F}2nRT\)

 = \(\frac32\) x 2 x 8.31 x 300

 = 7479 J

Correct answer is 6 m/s

Taking the system as man and trolley and using conservation of linear momentum.

60 x v = (60 + 120) × 2 

⇒ v = 6 m/s

Given line is \(\frac{x-2}{3}=\frac{y+1}{2}=\frac{z-k}{1}\) = λ (Let) ----- (1)

∴ coefficient of arbitrary point on line (1) are

(3λ + 2, 2λ - 1, λ + k).

Given that line (1) lies on the plane x - y - z + 8 = 0.

∴ (3λ + 2) - (2λ - 1) - (λ + k) + 8 = 0

\(\Rightarrow\) 3λ - 2λ - λ + 2 + 1 - k + 8 = 0

\(\Rightarrow\) k = 2 + 1 + 8 = 11.

Hence, for k = 1

given that line lies on plane x - y - z + 8 = 0.

cosx > sinx, ∀x ∈ (0,\(\frac{\pi}{4}\)), and cosx < sinx, ∀x ∈ (\(\frac{\pi}{4}\),\(\frac{\pi}{2}\))

y₁ = sinx + cosx

y₂ = |cosx - sinx|

⇒ Area = \(\int_0^{\pi/2}(y_1-y_2)dx\) 

= \(\int_0^{\pi/4}((sinx+cosx)\)\(-(cosx-sinx))dx\) + \(\int_{\pi/4}^{\pi/2}((sinx+cosx)\)\(-(sinx-cosx))dx\) 

= 4 - 2√2

Above Equation,

i means √-1

i¹⁹ = - i

1/i = -i

(1/i)²⁵ = (-i)²⁵ = -i

So, Put all the values in the equation,

\([ i ^{19} + (\frac{1}{i})^{25}]^{2}\\ [ -i -i]^{2}\\ [-2i]^2\\ 4i^2\\ 4*-1\\ -4 \\ Ans\)

Line spectrum is produced by the excited substance in atomic state.

Given thickness of ice is x₁ = 10 cm

Temperature T = +10°C

Thermal conductivity k = 0.004 cal cm^-1 sec^-1 c^-1

Density of ice ρ = 0.9 g/cc,

Latent heat of ice = 80 cal/g

Thickness double, then time t = ?

x² = 2x₁

⇒ 2 x 10

⇒ 20 cm

Using formula,

Δt = \(\frac{\rho L}{2kT}(x_2^2-x_1^2)\) 

Δt = \(\frac{92\times 10^{-2}\times 80}{2\times 4 \times 10^{-3}\times 10}\)[(20)² - (10)²]

Δt = 92 x 10 [400 - 100]

Δt = 92 x 10 x [300]

Δt = 276000 sec

Δt = 2.76 x 10⁵ sec

then value of x = 2.76

2b² + b - 528 = 0

⇒ 2b² + 33b - 32b - 528 = 0

⇒ b(2b + 33) - 16(2b + 33) = 0

⇒ (b - 16) (2b + 33) = 0

⇒ b = 16 or -33/2

Find k if the equation x² – y² + 2x + 2y + k = 0 represents a pair of lines.

Comparing the given equation with ax² + 2hxy + by² + 2gx + 2fy + c = 0 we get

a = 1, b = –1, c = k, f = 1, g = 1, h = 0.

Since the given equation represents a pair of lines. abc + 2fgh – af² – bg² – ch² = 0.

=> 1(–1)k + 2(1)(1)(0) – (1)² – (–1)(1)² – k(0)² = 0 => k = 0.

If result of any logical statement or expression is always TRUE or 1 it is called Tautology and if the result is always FALSE or 0 it is called Fallacy.

Apps can be broadly classified into three categories. They are:

• Desktop apps
• Web apps
• Mobile apps

Combinational Circuit is the type of circuit in which output is independent of time and only relies on the input present at that particular instant. On other hand Sequential circuit is the type of circuit where output not only relies on the current input but also depends on the previous output.

1. There are two types of Java programs — Java Stand-Alone Applications and Java Applets.

(i) Java Stand-Alone Applications

A stand-alone Java application refers to a Java program that can run independently on a computer. Acrobat Reader is an excellent example of this type of application. In Java, every stand-alone application begins its execution with the main() method. Java stand-alone applications can be classified into two types:

a. Console based applications

b. Graphical User Interface based applications

(ii) Java Applets

Java applets are Java applications that run within a web browser. They are mainly used for internet programming. The applet is capable of performing many tasks on a web page, such as displaying graphics, playing sounds, and accepting user input.

2. Variables that are declared inside a class without using the keyword 'static' and outside any member methods are termed instance variables. Each object of the class gets its own copy of instance variables. For example, in the below class:

class Cuboid {
    private double height;
    private double width;
    private double depth;
    private double volume;

    public void input(int h, int w, int d) {
        height = h;
        width = w;
        depth = d;
    }

    public void computeVolume() {
        volume = height * width * depth;
        System.out.println("Volume = " + volume);
    }
}

height, width, depth and volume are instance variables.

3. Linear Search:

(i) Linear search performs on unsorted list of elements as well as sorted list.

(ii) Compare the desired element with all elements in an array until the match is found.

(iii) Insertion of an element in an array can be performed very efficiently when array is not ordered.

(iv) For large size of array, time required for this search is very larger.

(v) Time complexity is as follows :

Worst case : N comparison

Best case : 1 comparison

Binary Search:

(i) For binary search, the elements in array are stored in  alphabetically or numerically
in sorted manner.

(ii) Compare the value of midpoint with desired value. If the value is greater than midpoint value, the first half is checked, otherwise second half checked until search is successful or interval empty.

(iii) An insertion of a new element requires that many elements be physically moved to preserved order.

(iv) For large size of array, comparatively time required is less.

(v) Time complexity as follows:

Worst case : log₂ N comparison

Best case : 1 comparison

The correct answer is None of the statements is correct.

• The Rukmavati River is a south-flowing river originating in the central Kutch District and empties into the Arabian Sea in the state of Gujarat.
• Kankavati village is located in Dhrangadhra Tehsil of Surendranagar district in Gujarat.
• Hence, statement 1 is not correct.
• Panvad village is located in Kavant Tehsil of Vadodara district in Gujarat, India.
• Banyan is considered holy in several religious traditions of India. The Ficus benghalensis is the National tree of India and also the state tree of Madhya Pradesh.
• Kabirvad, Gujarat is one of the biggest banyan trees in India.
• It is named after saint Kabir and it is one of the most famous destinations for tourists in Gujarat near Bharuch city.
• Hence, statement 2 is not correct.

Any two of the following : 

1. Purpose and the scope 

2. Selection of base period or 

3. Selection of commodities or items 

4. Obtaining price quotations 

5. Choice of an average 

6. Selection of weights 

7. Selection of suitable formula

Correct answer is: (b) 93.32%

P(x < 54) = P(z < 1.5)

= 0.9332

= 93.32 %

In Normal distribution

S.D = σ = 12 

Q.D = \(\frac{2}{3}\) σ = \(\frac{2}{3}\) x 12 = 8

M.D = \(\frac{2}{3}\) σ = \(\frac{2}{3}\) x 12 = 9.6

If n = 10, then variance = 2n = 2 × 10 = 20

1. To test whether the population has given variance. 

2. To test the goodness of fit of the theoretical frequencies to the observed data.

Quality of design is defined as a fit between a product's (service's) design and customer needs; quality of conformance is defined as a fit between the attributes of an actual product and its specification.

If an L.P.P. has many optimal solutions, it is said to have multiple solution:

For some L. P.P. may not have optimal solution or the optimal value of z may be infinity, then in such cases the L.P.P. is said to have unbounded solution.

Concept:

As per martin’s formula, safe speed can be given as follow:

a) For low speed (< 100 kmph)

(i) On a transition Curve:

Depending on the radius of the curve (in meter) and the speed for transition curves can be given by Martin’s Formula,

For Broad Gauge and Meter Gauge:

The safe speed on the transition curve

\({V_s} = 4.35\sqrt {R - 67} \) km/hr

or

\({V_s} = 4.4\sqrt {R - 70} \)

For Narrow Gauge:

The safe speed on the transition curve

\({V_s} = 3.65\sqrt {R - 6} \) km/hr

Subjected to a maximum of 50 kmph.

(ii) On a non-transitional curve: 80% of the above-given speeds for respective gauges.

b) For High speed (> 100 kmph)

\({\rm{V}} = 4.58\sqrt R\) kmph

• Rent Rates & Taxes.
• Workforce Availability, Labor Skills & Costs.
• Roads, Highways & Traffic Flow.
• Proximity to Airport, Railway Stations & Ports.
• Markets & Local Environment Factors.
• Building Availability & Utility Costs.

No solution exists in L.P.P. when the feasible solution does not exists.

Unbounded solution exists in L.P.P. when the feasible region is not unbounded or the optimum value of ‘z’ may be infinity.

From the table k= 1.64.

Replacement problem is the problem of deciding the age at which the old equipments are replaced.

Variance = pq = 0.2 x 0.8 = 0.16 Here q = 1 – P.

Given : p = 0.4, 

∴ 1 – p = 1 – 0.4 = 0.6

Then p(x = 1) = (0.4)¹ (1 – 0.4)^1-1 

= 0.4 x 0.60 = 0.4

Mean p = 0.4, variance = p( 1 – p) 

= 0.4 x 0.6 = 0.24.

It is the cost of setting up of machines for production or the cost of placing the order for the goods. 

It is the cost of carrying or holding the goods in stock until the goods are sold o used.

Bailment:

When the goods are temporarily handed over from one person to another person for a specific purpose, it is known as bailment.

The person who delivers the goods is known as the Bailor while the person to whom the goods are delivered is known as Bailee.

Consideration: May or may not be present.

The party whom goods are being delivered has no right to sell the goods.

Pledge:

When the goods are delivered to act as security against the debt owed by one person to another person, it is known as the pledge.

The person who delivers the goods is known as Pawnor while the person to whom the goods are delivered is known as Pawnee.

Consideration: Always present.

Mean > Variance i.e. p > pq.

laspeyre’s  index possess upward bias. 

The following are the steps/stages/principles/Heads involved:- 

1. Purpose and the scope 

2. Selection of base period 

3. Selection of commodities or itsm 

4. Selection of price list 

5. Selection an average Selection of weights 6. Selection of formula

Shut down of production of a factory due to fire accident.

Following are the steps involved in the construction of consumer price index number. 

1. Object and scope: The purpose/object is decide for which the index number being constructed as to Farmers, Govt, employes, merchants etc and the scope i.e., geographical area, income group, the time limit for the completion of construction of index number should be decided.

2. Conducting family budget survey: A detailed survey regarding the average expenditure of the families, on various items of consumption, quality/grade of items under the heads of

• Food 

• Clothing 

• Housing 

• Fuel and lights 

• Medicine, Education entertainment and 

• Miscellaneous are conducted.

3. Obtaining the price quotation: The price list of various items/commodities of current year and base year are obtained from different agencies such as from marketing inspectors, rent control officers, super bazars, Janatha bazars or public distribution system of retail prices are obtained or averaging the prices of various shops in the respective area.

4. Methods of construction: Decision has to be made on the basis of purpose, accuracy need and the availability of data, among

1. Aggregative expenditure method 

2. Family budget method.

Laspeyre’s index number.

Coding, sometimes called computer programming, is how we communicate with computers. Code tells a computer what actions to take, and writing code is like creating a set of instructions. By learning to write code, you can tell computers what to do or how to behave in a much faster way. You can use this skill to make websites and apps, process data, and do lots of other cool things.

Cohort is a group of individuals who are born at the same time and who experience the same mortality conditions.

Cohort is a group of individuals who presumed to be born at the same time and who experience the same mortality conditions.

Base year quantity : q₀.

Correct answer is: (c)Base year quantities

In Laspeyre’s price index the weight are taken as base year quantities