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General Test - 11

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  • Question 1
    4 / -1

    A can build a wall in 12 days, B can do the same in 16 days, and C can do it in 24 days. Totally 6 walls are to be built.'A' does the work for the first 16 days and 'B' continues the work for the next 12 days. How many days should C work?

    Solution

    We know, Time× rate= work

    Let’s consider the work of building one wall to be 48units. (LCM of12,16, and 24)

    A total of6 walls are to be built. i.e.6×48=288 units

     

    A

    B

    C

    Time

    12

    16

    24

    Rate

    4

    3

    2

    Work

    48

    48

    48

    Thus, rates ofA,B, andC are4,3, and 2respectively per day.

    Work done byA (1st16 days)=4×16=64

    Work done byB (next12 days)=3×12=36

    Total work done byA and B=64+36=100units

    Work remaining=288100=188 units

    So, Work done byC=188=2× no. of daysC has to work

    No. of daysC has to work=1882=94 days

  • Question 2
    4 / -1

    A,B and C can complete a work in 5,10 and 30 days respectively. In how many days A,B and C together can complete the same work?

    Solution

    Aalone can do a work=5 days

    A’s one day’s work=15

    Balone can do the work=10 days

    B’s one day’s work=110

    Calone can do the work=30 days

    C’s one day’s work=130

    A,B, andC together can do the work in,

    (A+B+C)'s one-day's work=15+110+130

    =6+3+130

    =1030=13

    Therefore,A+B+C can complete the whole work in3 days.

  • Question 3
    4 / -1

    The external fencing of a circular path around a circular plot of land is \(33 m\) more than its interior fencing. The width of the path around the plot is:

    Solution

    Let \(d_1\) and \(d_2\) be the diameters of interior and exterior fencing respectively.

    \(d_2=2 \times \) Width of path \(+d_1\)

    \(d_2-d_1=2 \times\) Width of path

    Given the differences of circumferences \(= 33\)

    \(\pi d_2-\pi d_1=33\)

    \(d_2-d_1=\frac{33}{\pi}\)

    \(2~\times\) Width of path \(=\frac{33}{\pi}\)

    Width of path \(=\frac{33}{2} \pi=5.25\)

  • Question 4
    4 / -1

    Volume of a cube is \(2744 \) cm\(^{3}\). Find total surface area of cube.

    Solution

    The volume of a cube \(=(\text {Side})^{3}\Rightarrow 2744=(\text {Side})^{3}\)

    \(\Rightarrow\) Side \(=\sqrt[3]{2744}\) \(=14 cm\)

    The total surface area of a cube \(=6 \times(\text {Side})^{2}\)

    \(\Rightarrow\) The total surface area of a cube \(=6 \times(14)^{2}\)

    \(\Rightarrow\) The total surface area of a cube \(=1176 \) cm\(^{2}\)

  • Question 5
    4 / -1

    From the given options, which answer figure/figures can be formed by folding the figure given in the question?

    Solution

    The logic follows here is:

    Alternate faces in an open dice are opposite to each other when folded.

    Opposite faces cannot be seen together in a folded dice/cube.

    I. A and M are adjacent to each other, so, not possible as they are opposite pairs.

    II. R and Y are adjacent to each other, so, not possible as they are opposite pairs.

    III. T and I are adjacent to each other, so, not possible as they are opposite pairs.

    IV. None of the faces (A, R, and T) are opposite pairs, so, it is possible.

  • Question 6
    4 / -1

    Five boys are so standing that they form a circle. Rahim is between Ajoy and Tom. Salman is to the left of Bablu and Ajoy is to the right of Salman. Who is at the right of Bablu?

    Solution

    So,  Ajoy will be to the right of Bablu.

  • Question 7
    4 / -1

    Amar, Anita, Vipin, Jia, and Rahul are sitting around a table facing outwards. Vipin sits second to the left of Jia. Amar is sitting second to the left of Rahul. Rahul does not sit adjacent to Vipin. Which of the following statement is true?

    Solution

    Vipin sits second to the left of Jia.

    Rahul does not sit adjacent to Vipin.

    Amar is sitting second to the left of Rahul.

    Thus, 'Amar sits adjacent to Jia'.

  • Question 8
    4 / -1

    Direction: Study the information given below carefully and answer the question that follow.

    Seven persons M, N, O, P, Q, R, and S are sitting in a row facing north direction. N sits third to the left of Q. Only P is adjacent to S, who does not sit at the extreme left end. M sits immediate left of R. O and Q are not adjacent to each other.

    Who sits immediate left of M?

    Solution

    Seven Persons: M, N, O, P, Q, R and S

    1. N sits third to the left of Q.

    2. Only P is adjacent to S, who does not sit at extreme left end.

  • Question 9
    4 / -1

    Direction: Study the following information and answer the following questions.

    Six persons W, L, B, I, K and X are sitting around a circular table facing away from the center of the table. X sits second to left of W and third to right of K. L is not opposite to either I or B. B sits second to the right of W.

    Who sits opposite to X?

    Solution

    Persons: W, L, B, I, K and X

    1) X sits second to left of W and third to right of K.

    2) B sits second to the right of W.

    3) L is not opposite to either I or B.

    So, K sits opposite to X.

  • Question 10
    4 / -1

    Direction: Study the following information carefully to answer the questions given below.

    Six persons A, V, B, G, Q and F are sitting around a circular table facing outside the center not necessarily in the same order. F is not an immediate neighbour of A. Four persons are sitting between V and G. V sits on the left side of G. G sits third right of A, who sits immediate left of Q.

    How many persons are sitting between F and Q?

    Solution

    According to the given information,

    1) Four persons are sitting between V and G. V sits on the left side of G.

    2) G sits third right of A, who sits immediate left of Q.

    3) F is not an immediate neighbour of A.

    Two persons are sitting between F and Q.

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