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General Test - 18

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General Test - 18
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Weekly Quiz Competition
  • Question 1
    4 / -1

    Working 5 hours a day, A can Complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in:

    Solution
    Working 5 hours a day, A can complete the work in 8 days i.e.
    = 5 × 8 = 40 hours
    Working 6 hours a day, B can complete the work in 10 days i.e.
    = 6 × 10 = 60 hours
    (A + B)'s 1 hour's work,
    \(=\frac{1}{40}+\frac{1}{60}\)
    \(=\frac{3+2}{120}\)
    \(=\frac{5}{120}\)
    \(=\frac{1}{24}\)
    Hence, A and B can complete the work in 24 hours i.e. they require 3 days to complete the work.
     
  • Question 2
    4 / -1

    \(A\) and \(B\) together can do a piece of work in 20 days and \(A\) alone can do it in 30 days. B alone can do the work in how many days?

    Solution

    Given:

    \(A\) and \(B\) together can do a piece of work in 20 days

    Part of work \(A\) and \(B\) can do in 1 day \(=\frac{1}{20}\)

    A alone can do the work in 30 days

    Part of work A can do in 1 day \(=\frac{1}{30}\)

    \(\therefore\) Part of work B alone can do in a day \(=\frac{1}{20}-\frac{1}{30}=\frac{1}{60}\)

    \(\therefore\) B alone can do the work in 60 days.

  • Question 3
    4 / -1

    A flask in the shape of a right circular cone of height \(24\) cm is filled with water. The water is poured in a right circular cylindrical flask whose radius is \(\frac{1}{3}\) rd of the radius of the base of the circular cone. Then the height of the water in the cylindrical flask is:

    Solution

    Let radius of base of cone be r and height of cylinder be \(h\).

    Vol. of cone \(=\) Vol. of cylinder

    \(\frac{1}{3} \pi r ^2 \times 24=\pi\left(\frac{ r }{3}\right)^2 \times h\)

    \(h = 72\) cm

  • Question 4
    4 / -1

    There is a rectangular plot, \(120 \mathrm{~m}\) long and \(98 \mathrm{~m}\) wide, with semi-circular flower beds along the breadth on both sides of the plot. The cost of putting a fence all around the plot at Rs. \(16.50\) per \(\mathrm{m}\) is: \((\) take \(\pi=\frac{22 }{ 7})\)

    Solution

  • Question 5
    4 / -1

    Select alternative that cannot be formed by folding the given sheet of paper?

    Solution

    Here, the opposite pairs are:

    Figure in option (A) have sides 1 and 3 adjacent to each other which is not a possible case here.

    Thus, the figure in option (A) is our required answer.

  • Question 6
    4 / -1
    Six people – A, B, C, D, E and F are sitting in a same row at equal distances. All are facing south. D is sitting immediate left of A. E is sitting third to the right of F. B is not an immediate neighbour of F. Neither E nor F is sitting at any of the extreme ends. What is the position of C?
    Solution

  • Question 7
    4 / -1

    Four men A, B, C, D and four women W, X, Y, Z are sitting around a circular table facing each other (facing towards the center). If

    i. No two men or women are sitting together.

    ii. W is to the right of B.

    iii. Y is facing X and is to the left of A.

    iv. C is to the right of Z.

    Then who are the two persons sitting adjacent to D?

    Solution

    (1) W is to the right of B. As it is a circular arrangement, we can randomly pick a seat for B and then we can place W accordingly.

    (2) No two men or women are sitting together.

    (3) Y is facing X and is to the left of A. The person sitting to the immediate right of W must be a man. Implies, neither X nor Y is sitting to the immediate right of W. It leaves us with only one option i.e. Y is sitting second to the right of W and X is sitting to the immediate left of B. Also, A is sitting opposite B.

    (4) C is to the right of Z. It is only possible if we place C to the immediate left of X and Z to the immediate right of A. Also, now there is only one place left for D i.e. between Y and W.

    Clearly, W and Y are sitting next to D.

  • Question 8
    4 / -1

    A, B, C, D, E and F, not necessarily in that order, are sitting in six chairs regularly placed around a round table. It is observed that:  A is between D and F, C is opposite D & D and E are not on neighboring chairs. Which one of the following must be true?

    Solution
    The required seating arrangement is:.
    Therefore, B and E are neighbours.
  • Question 9
    4 / -1

    Six People A, B, C, D, E and F, are sitting in two rows with three people in each row facing each other. E is not sitting at any end of any row. D is sitting second to the left of F. C is sitting next to E and diagonally opposite to D. B is sitting next to F. On the basis of given information who is sitting opposite to B?

    Solution

    People -  A, B, C, D, E and F, are sitting in two rows with three people in each row.

    1. E is not sitting at any end of any row.

    2.  D is sitting second to the left of F.

    3. C is sitting next to E and diagonally opposite to D.

    4. B is sitting next to F.

    Clearly, E is sitting opposite to B.

  • Question 10
    4 / -1

    In a row of children, Bhavana is ninth from the left and Ashu is thirteenth from the right. They exchange their positions and then Bhavana becomes seventeenth from the left. Find the new position of Ashu from the right end of the row.

    Solution

    Drawing the diagram according to the given information,

    After changing positions,

    Bhavana’ s new position is 17th from the left and 13th from the right.

    Number of children in the row = 13 + 17 – 1 = 29

    Now,

    Ashu’s new position is Bhavana’s old position, which is 9th from the left.

    Number of children to the right of Ashu = 29 – 9 =20

    So,

    Ashu is 21st from the right end of the row.

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