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    CAT de Quant Test 40

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    complore
    If the area of the circle inscribed in the smallest square is 77 square units and the distance between the corresponding vertices of consecutive squares is 1. Units, then find the difference between the areas of the largest and the smaller square in square units. (take pie = 22 / 7) 240 264 224 216 256 Skip this question 2. Find the number of positive integral solutions of the equation (xy)z = 64.

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    CAT de Quant Test 40

    Uploaded by

    complore
    82 views3 pages
    If the area of the circle inscribed in the smallest square is 77 square units and the distance between the corresponding vertices of consecutive squares is 1. Units, then find the difference between the areas of the largest and the smaller square in square units. (take pie = 22 / 7) 240 264 224 216 256 Skip this question 2. Find the number of positive integral solutions of the equation (xy)z = 64.

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    If the area of the circle inscribed in the smallest square is 77 square units and the distance between the corresponding vertices of consecutive squares is 1. Units, then find the difference between the areas of the largest and the smaller square in square units. (take pie = 22 / 7) 240 264 224 216 256 Skip this question 2. Find the number of positive integral solutions of the equation (xy)z = 64.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    82 views3 pages

    CAT de Quant Test 40

    Uploaded by

    complore
    If the area of the circle inscribed in the smallest square is 77 square units and the distance between the corresponding vertices of consecutive squares is 1. Units, then find the difference between the areas of the largest and the smaller square in square units. (take pie = 22 / 7) 240 264 224 216 256 Skip this question 2. Find the number of positive integral solutions of the equation (xy)z = 64.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
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    CAT Practice Test - CAT 2009 Study, MBA Prepration, MBA Exam, ... http://www.complore.com/test4PDF.php?

    id=124

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    Quant Test 40

    1. 5 concentric squares each having different area are drawn on a sheet of paper. If the area of the circle inscribed in the smallest square is 77 square units and the distance
    between the corresponding vertices of consecutive squares is 1.5 units, then find the difference between the areas of the largest and the smallest square in square units.
    (Take pie = 22/7)

    240
    264
    224
    216
    256
    Skip this question

    2. Find the number of positive integral solutions of the equation (xy)z = 64.

    14
    15
    16
    17
    18
    Skip this question

    3. A trapezium ABCD is inscribed in a circle with centre O. AB is parallel to CD and the tangent at the point C intersects the line AB produced at E. If BE = 2 units, CE = 4 units
    and ∆BCE is isosceles, then what is the area of the trapezium ABCD?

    32 square units
    24 square units
    7 sqrt(15) square units
    8 sqrt(15) square units
    28 square units
    Skip this question

    4. In a convex quadrilateral PQRS, points T and U are chosen on QR such that ∠QPT = ∠RSU and ∠TPU = ∠UST. If the measure of ∠QPR is 70°, then what is the measure of
    ∠QSR ?

    110
    80
    105
    70
    90
    Skip this question

    Directions for Questions from 5 to 6:


    Answer the questions on the basis of the information given below.
    There is a N × N square matrix having N 2 cells of dimension 1 × 1. Every cell in the matrix is given an address (i, j), where (i, j = n, n + 1, ……) and n is an integer. It is given
    that one of the box is marked as (0, 0). Every other cell is given an address (i, j) as per the Cartesian coordinate system. All addresses are given with reference to the central
    most cell (0, 0). For example, the cell to the immediate right of (0, 0) along the same row is given an address (1, 0). Similarly, the cell above (0, 0) along the same column is
    given an address (0, 1).

    5. If the total number of cells in the matrix is less than 100 and N is an odd number, then what is the
    maximum possible number of cells in the matrix for which (i + j) is a perfect square?

    1 of 3 5/27/2009 10:57 AM
    CAT Practice Test - CAT 2009 Study, MBA Prepration, MBA Exam, ... http://www.complore.com/test4PDF.php?id=124

    9
    13
    11
    16
    21
    Skip this question

    6. If the addresses of the cells sharing a common point or a common boundary with the cell having the
    address (i, j) are (i1, j1)....(im, jm) , then what is the value of |(i – i1)| + ……. |(i – im)|?
    (1) 2 (2) 3 (3) 6
    (4) Either 2 or 3 (5) Either 2 or 3 or 6

    2
    3
    6
    Either 2 or 3
    Either 2 or 3 or 6
    Skip this question

    7. How many four-digit numbers can be formed using the digits 1, 2, 4, 6, 7 and 9 such that each number is divisible by 3 but not by 9? (Repetition of digits is not allowed)

    84
    48
    72
    96
    120
    Skip this question

    8. Let P be a natural number that leaves a remainder 3, when divided by 7 and let Q be another natural number that leaves a remainder 1, when divided by 5. How many
    ordered pairs (P, Q) exist such that the difference between P and Q is greater than 177 and the sum of P and Q is less than 203?

    12
    14
    16
    10
    20
    Skip this question

    Directions for Questions from 9 to 10:


    Answer the questions on the basis of the information given below.
    ABCD is a square which is divided into 17 smaller squares as shown in the figure given below. The length of the side of each of the squares is an integer and length of the side
    of the square marked as ‘x’ is 3 units.

    9. The sum of the areas of squares marked as ‘y’ and ‘z’ is

    80 square units
    106 square units
    97 square units
    89 square units
    Cannot be determined

    2 of 3 5/27/2009 10:57 AM
    CAT Practice Test - CAT 2009 Study, MBA Prepration, MBA Exam, ... http://www.complore.com/test4PDF.php?id=124

    Skip this question

    10. The length of the side of the square ABCD is

    18 units
    22 units
    16 units
    20 units
    Cannot be determined
    Skip this question

    Take this test online

    © Copyright 2009. All Rights Reserved.

    3 of 3 5/27/2009 10:57 AM

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