Self Studies

Quantitative Ap...

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  • Question 1
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    P's compensation for any month is 480 plus 8% of the value of his total sales above 3,000 for that month. Q's compensation for any month is 10% of his total sales for that month. For what amount of total monthly sales would both P and Q earn the same compensation?
     

  • Question 2
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    In a distribution, \(1,2,3,4\) and \(5\) occur with frequencies \(5,4,3,2\) and \(1\) respectively. The mean of the data is:
     

  • Question 3
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    N! is defined as the product of the natural numbers from 1 to N. Find the units digit of (1!)2 + (2!)2 + (3!)2 + (4!)2

  • Question 4
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    Three pipes \(A, B\) and \(C\) can fill a tank from empty to full in \(30\) minutes, \(20\) minutes, and \(10\) minutes respectively. When the tank is empty, all three pipes are opened. \(A, B\) and \(C\) discharge chemical solutions \(P,Q\) and \(R\) respectively. What is the proportion of the solution \(R\) in the liquid in the tank after \(3\) minutes?

  • Question 5
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    Three solid spheres S1, S2 and S3 have radii of 3 cm, 4 cm and 5 cm respectively. They are melted to form another solid sphere S4. Find the total surface area (in sq.cm) of S4.

  • Question 6
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    A, B and C work together to complete some work. A takes thrice the time taken by the other two to complete the same work whereas B takes 6 times the time taken by the other two to complete the same. What part of the work was completed by C?
     

  • Question 7
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    A tower is of height 200m. If two boys standing on the same side of the tower observe the top with angles of elevation 30° and 45°, the distance between them (in metres) is
     

  • Question 8
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    The equation of the perpendicular bisector of AB is 5x = 3y. If B = (2, 5), then A is
     

  • Question 9
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    If a cube of side 18 cms is cut into cubes each of side 3 cm, then what is the number of small cubes that are formed?
     

  • Question 10
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    This question is followed by two statements giving certain data. You have to decide whether the information provided in the statements is sufficient for answering the question.
    Ramesh rowed his boat from a point A in a river 24 km. downstream and then returned to A. Find the speed of his boat in still water if his upstream journey took p hours.
    A. The time he took for the downstream journey was 3 hours less than that for the upstream journey and p = 6.
    B. His upstream and downstream speeds were 4 kmph and 8 kmph respectively.

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