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RRB Technician (Grade-I) 2024 Mix Test - 33
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RRB Technician (Grade-I) 2024 Mix Test - 33
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  • Question 1/10
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    Current density is

    Solutions

    Concept:

    Current Density

    • Current per unit area (taken normal to the current) is called Current Density.

    • where, I = Current, A = Cross-sec area
    • Current density at any point inside a conductor is defined as the amount of charge flowing per second through a unit area held normal to the direction of flow of charge at that point.
    • It is a vector quantity having the same direction as that of motion of the positive charge. It is characteristic property of any point inside the conductor and denoted byJ

    • It is a vector quantity

    Important Points

    Case 1:

    • As shown in figure (a) , if a current I is flowing uniformly and normal through an area of cross-section A of a conductor , then the magnitude of current density at any point of this cross-section will be

    Case2:

    • If area vector is making and angle θθ with the direction of current as show in figure (b), the urrent density

  • Question 2/10
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    Which of the following is not a number system in reference to computers?

    Solutions

    The correct option is (4)

    Penta number system

    Concept:-

    There are four number systems in reference to computers:

    • Binary number system(base-2)
    • Decimal number system (base-10)
    • Octal number system (base-8)
    • Hexadecimal number system (base-16)

    Key Points

    • Only the "on" and "off" states of a switch may be understood by a computer. The numbers 1 and 0 stand for these two states. Binary numerals are created by fusing the integers 1 and 0. These figures depict a variety of statistics.
    • The base-10 number system, arguably the most widely used number system, is referred to as decimal. Ten single-digit digits make up the decimal number system: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
    • The base value of the hexadecimal number system, a sort of number system, is 16. Additionally, it can occasionally be spoken as "hex." There are only 16 symbols used to represent hexadecimal integers. A, B, C, D, E, and F are the following values or symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
    • An octal number system is one that has the number "eight" as its fundamental unit. It uses digits 0 through 7.
  • Question 3/10
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    Which of the following web browser was developed by Apple?

    Solutions

    The correct answer is Safari.

    Key Points

    • Safari is a web browser developed by Apple.
    • It is built into Apple's operating systems including macOS, iOS, and iPadOS, and uses Apple's open-source browser engine WebKit, which was derived from KHTML.
    • Safari was introduced in Mac OS X Panther in January 2003.

    Additional Information

    • Mozilla Firefox, or simply Firefox, is a free and open-source web browser developed by the Mozilla Foundation and was released in 2002.
    • Opera is a multi-platform web browser developed by its namesake company Opera.
      • The browser is based on Chromium and was released in 1995.
    • Internet Explorer is a "retired" series of graphical web browsers developed by Microsoft that were used in the Windows line of operating systems.
      • It was released in 1995 and retired in 2022.
  • Question 4/10
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    In a certain code language, "COVER" is written as "HKYCS". How is "QUILT" written in that code language?

    Solutions

    According to the English alphabet series and its positional value:

    The logic follows here is:

    Hence, “VQLJU” is the correct answer.

  • Question 5/10
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    A hard disk is divided into tracks which are further subdivided into:

    Solutions

    The correct answer is Sectors.

    Key Points

    • Tracks are frequently used to split the surfaces into concentric rings. Sectors are used to split tracks.
    • On a disc, a sector is the smallest memory unit.
    • A sector on a magnetic disc or optical disc is a subdivision of a track in computer disc storage.
    • Each sector of a hard disc drive (HDD) or a CD-ROM or DVD-ROM holds a defined amount of user-accessible data, typically 512 bytes for HDDs and 2048 bytes for CD-ROMs and DVD-ROMs.

    Additional Information

    • A read/write head, often known as an RW head, is a device located on a hard drive's arm.
    • A vector is an abstract data type that is used to describe attributes with both magnitude and direction (as opposed to a scalar that only has magnitude).
    • The delivery of various services over the Internet is known as cloud computing.
    • Sector is the smallest physical storage unit on the disk.
    • Its size is 512 bytes in general.
    • Sector is the subdivision of a track on a magnetic disc or optical disk.
  • Question 6/10
    1 / -0.33

    Which of the following pair of confluence is correct?

    I. Rudra Prayag - Alaknanda and Mandakini

    II. Karna Prayag - Vishnu Ganga and Dhauli Ganga

    Solutions

    The correct answer is Option 2.

    Key Points

    • Prayag refers to the confluence of rivers.
    • We can see five prayags known as Panch Prayag in Uttarakhand which also have a religious significance.
    • Devprayag is the confluence of rivers Alaknanda and Bhagirathi.
    • After this junction, the river is known as Ganga.
    • Vishnu Prayag
      • It is the confluence of rivers Vishnu Ganga and Dhauli Ganga
    • Nanda Prayag
      • It is the confluence of rivers Alaknanda and Nandakini.
    • Karna Prayag
      • It is the confluence of rivers Alaknanda and Pindar Ganga.
    • Rudra Prayag
      • It is the confluence of rivers Alaknanda and Mandakini.

  • Question 7/10
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    In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% candidates failed in both English and Mathematics, what percentage of candidates passed in both the subjects?

    Solutions

    Given:

    No. of candidates failed in English = 52%

    No. of candidates failed in Mathematics = 42%

    No. of candidates failed in both English and Mathematics = 17%

    Calculation:

    Passed candidates in both the subjects

    ⇒ 100% - (52 + 42 - 17)%

    ⇒ 100% - 77%

    ⇒ 23%

    ∴ Candidates passed in both the subjects is 23%.

  • Question 8/10
    1 / -0.33

    The prices of a group of 6 items are $10, $15, $20, $25, $30, and $35. Find the standard deviation of their prices.

    Solutions

    Given:

    The prices of a group of 6 items are $10, $15, $20, $25, $30, and $35.

    Concept Used:

    Steps to find the standard deviation,

    1. Calculate the mean (average) of the set of numbers.

    2. For each number in the set, subtract the mean and square the result.

    3. Find the average of the squared differences calculated in step 2.

    4. Take the square root of the result from step 3.

    Calculation:

    Mean = (10 + 15 + 20 + 25 + 30 + 35) / 6 = 22.50

    Subtract the mean from each price and square the result:

    ⇒ (10 - 22.50)2 = 156.25,

    ⇒ (15 - 22.50)2 = 56.25,

    ⇒ (20 - 22.50)2 = 6.25,

    ⇒ (25 - 22.50)2 = 6.25,

    ⇒ (30 - 22.50)2 = 56.25,

    ⇒ (35 - 22.50)2 = 156.25

    Calculate the sum of the squared differences:

    ⇒ 156.25 + 56.25 + 6.25 + 6.25 + 56.25 + 156.25 = 437.5

    Divide the sum by the number of prices, and take the square root of it:

    ⇒ √(437.5/6) = √72.92 = 8.53

    ∴ The standard deviation of their prices is $8.53.

  • Question 9/10
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    The angle of depression of the base of a building from the top of a tower at a distance of 58 m is 60°. What is the height of the tower?

    Solutions

    Given:

    BC = 58m

    Angle of depression, ∠CAD = 60° 

    Concept used:

    Angle of depression = Angle of elevation

    Pythagoras Theorem

    tanθ = Perpendicular/Base

    Calculation:

    Let AB be the height of the tower and BC be the base.

    So, ∠CAD = ∠ACB = 60°

    Considering ΔABC which is a right-angled triangle at B,

    tan 60° = AB/BC

    ⇒ √3 = AB/58

    ⇒ AB = 58√3

    ∴ The height of the tower is 58√3 m.

  • Question 10/10
    1 / -0.33

    The filament of an electric bulb draws a current of 0.05 A from a 200 V source. The power of the bulb and the number of electrons (charge = 1.6 x 10-19C) passing through a cross section of the filament in 5 minutes respectively are

    Solutions

    Concept:

    Electric Power:

    The rate at which electrical energy is dissipated into other forms of energy is called electrical power i.e.,

    where V = Voltage/Potential difference,

    R = Resistance and I = current.

    Electric charge:

    It is an intrinsic property of the elementary particles of matter which gives rise to electric force between various objects.

    q = ne

    Where q = charge, n = number of electrons and e = charge on one electron.

    The current is defined as the rate of flow of charged particle i.e.

    I = q/t

    Calculation:

    Given:

    I = 0.05 A, Volt = 200 V, q = 1.6 x 10-19 C, t = 5 minutes.

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