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RRB ALP 2024 Mix Test - 100
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RRB ALP 2024 Mix Test - 100
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  • Question 1/10
    1 / -0.33

    A ladder is resting against a wall. If the ladder is inclined at an angle of 30° with the ground, and the height of the wall is 100 m, then the distance of the foot of the ladder from the wall is:

    Solutions

    Suppose the distance of the foot of the ladder from the wall be 'D' m

    From the figure;

    ⇒ tan 30° = 100/D

    ⇒ D = 100√3

    ∴ The distance of the foot of the ladder from the wall is 100√3 m.

  • Question 2/10
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    Read the given statements and conclusions carefully. Decide which of the given conclusions is/are true based on the given statements

    Statements:

    K ≤ O = M ≥ N and L ≥ M

    Conclusions:

    I. L ≥ K,

    II. N < K

    Solutions

    Given: K ≤ O = M ≥ N and L ≥ M

    Explanation:

    I. L ≥ K (True) L ≥ M = O ≥ K

    II. N < K (False) K ≤ O = M ≥ N

     Only I conclusion is right

    Hence, Only I is true is the correct answer.

  • Question 3/10
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    The income of 'A' is 20% higher than that of 'B'. The income of 'B' is 25% less than that of 'C'. What percent less is A's income from C's income?

    Solutions

    Given:

    The income of 'A' is 20% higher than that of 'B'.

    The income of 'B' is 25% less than that of 'C'.

    Calculation:

    Let the income of C be 100

    The income of 'B' is 25% less than that of 'C'.

    ⇒ [100 - (25/100 × 100)]

    ⇒ (100 - 25) = 75

    Then, A's income = (75 × 120/100) = Rs. 90

    So, A's income is 10% less than C.

    ∴ The required answer is 10%.

  • Question 4/10
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    U, V, W, X, Y and Z live on different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2, and so on till the topmost floor is numbered 6. Z lives on the floor immediately above Y. Only one person lives between U and V. W lives immediately above Z and immediately below V. Who lives on the second floor?

    Solutions

    Given,

    U, V, W, X, Y, and Z live on different floors of the same building.

    Step 1: The lowermost floor in the building is numbered 1, the floor above it is numbered 2, and so on till the topmost floor is numbered 6.

    Step 2: a) Z lives on the floor immediately above Y

    b) W lives immediately above Z and immediately below V.

    Step 3): Only one person lives between U and V.

    According to the arrangement, Z lives on the second floor.

    Hence, the correct answer is option 1).

  • Question 5/10
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    An object is dropped from a height onto the floor. Which one of the following remains uniform as it falls?

    Solutions

    The correct answer is option 1.

    Key Points

    • An object that is moving only because of the action of gravity is said to be free-falling and its motion is described by Newton's second law of motion.
      • Newton's second law of motion: The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.
    • The acceleration of the freely falling object is constant and equal to the acceleration due to gravity.
    • During free fall of the object, gravitational force acts on the body in a downward direction always and so the acceleration of the object remains in a vertically downward direction which is constant with time.
    • The most remarkable and unexpected fact about falling objects is that, if air resistance and friction are negligible, then in a given location all objects fall toward the center of Earth with the same constant acceleration, independent of their mass.
    • The force of gravity causes objects to fall toward the center of Earth. The acceleration of free-falling objects is therefore called the acceleration due to gravity.
      • g= 9.81 m/sec2
  • Question 6/10
    1 / -0.33

    If a three digit number 7X6 is divisible by 11, then the value of X is:

    Solutions

    Concept used:

    For a number to be divided by 11 the difference of the sum of digits in odd and even places must be the multiple of either 11/0.

    Calculation:

    Let be the number is 07X6

    ⇒ (0 + X) = (7 + 6)

    ⇒ X = 13

    ∴ X = 13 - 11

    ⇒ X = 2

    ∴ The correct answer is 2.

  • Question 7/10
    1 / -0.33

    Each of the letters in the word NETWORK are arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter which is fourth from the left and the one which is second from the right?

    Solutions

    Given: 'NETWORK'

    After arranging in alphabetical order:

    NETWORK → EKNORTW

    The letter 'O' is fourth from the left and the letter 'T' is second from the right, four letters P, Q, R and S come between O and T.

    Hence, the correct answer is "Option (4)".

  • Question 8/10
    1 / -0.33

    Matter around us can exist in three different states, namely, solid, liquid and gas. The correct order of their compressibility is

    Solutions

    The correct answer is option 2 i.e. Solid < Liquid < Gas

    Compressibility of matter

    • Matter exists in nature in different forms, the three basic states of matter are Solid, Liquid and Gas.
    • Apart from these three, there are two more states of matter exist which we do not see in our everyday life. They are Plasma & Bose-einstein condensate.

    ​Compressibility of Solid

    • In solids, the particles are closely packed and the gaps between the particles are tiny and hence it is tough to compress them.
    • Solid has a fixed shape and volume.

    Compressibility of Liquid

    • In a liquid, particles are less tightly packed as compared to solids and less difficult to compress as compare to solid because particles have less space between them to move but more than the that of solid.
    • Liquids take the shape of the container in which they are kept.

    Compressibility of Gas

    • In gases, particles are far apart from each other, the force of attraction between the particles is negligible and they can move freely.
    • The gaseous state has the highest compressibility as compared to solids and liquids. Hence option 2 is correct.
    • Gases have neither a fixed volume nor a fixed shape.
  • Question 9/10
    1 / -0.33

    A vessel contains 10 liters of mixture in which there is 10% water. To make the solution which contains 25% water, the quantity of water to be added in it is:

    Solutions

    Given:

    Vessel contains 10 L mixture out of which 10% is water

    Calculations:

    Volume of the mixture is 10 liters, in which the quantity of water is 10%

    ⇒ 10 × (10/100) = 1 liters

    We need 25% water in the mixture.

    Here suppose you mix x litres water in 10 litre mixture.

    Then the quantity of water = 1 + x litres

    And the quantity of mixture = 10 + x litres.

    We need 25% of water. So,

    ⇒ [(1 + x)/10 + x] × 100 = 25

    ⇒ (1 + x)/10 + x = 25/100

    ⇒ (1 + x)/10 + x = 1/4

    ⇒ 4 + 4x = 10 + x

    ⇒ 4x – x = 10 – 4

    ⇒ 3x = 6

    ⇒ x = 6/3

    ⇒ x = 2

    ∴ We should add 2 litres of water.

  • Question 10/10
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    Select the odd one out from the following.

    Solutions

    Here, Iron, Copper and Aluminium all are pure elements.

    While, steel is a alloy of iron and carbon.

    Hence, the correct answer is "Steel".

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