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    Cat 2009 Quant Test 6

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    Cat 2009 Quant Test 6

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    Cat 2009 Quant Test 6

    Uploaded by

    complore
    download the CAT 2009 Quant test Paper for free

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    Attribution Non-Commercial (BY-NC)
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    MBA Quant DI English Vocabulary Archives Forums New! Events B-Schools

    Quant Test 6

    1. A positive whole number M less than 100 is represented in base 2 notation, base 3 notation, and base 5 notation. It is found that in all three cases
    the last digit is 1, while in exactly two out of the three cases the leading digit is 1. Then M equals

    j 31
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    m
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    j 63
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    j 75
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    n
    j 91
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    l
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    j 87
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    i Skip this question
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    2. Which one of the following conditions must p, q and r satisfy so that the following system of
    linear simultaneous equations has at least one solution, such that
    p + q + r = 0?
    x + 2y – 3z = p
    2x + 6y – 11z = q
    x – 2y + 7z = r

    j 5p – 2q – r = 0
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    j 5p + 2q + r = 0
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    j 5p + 2q – r = 0
    k
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    j 5p – 2q + r = 0
    k
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    j None of the above
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    i Skip this question
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    3. How many even integers n, where 100 < n < 200, are divisible neither by seven nor by nine?

    j 40
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    j 37
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    j 39
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    j 38
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    j 41
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    i Skip this question
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    4. Twenty -seven persons attend a party. Which one of the following statements can never be true?

    j There is a person in the party who is acquainted with all the twenty -six others
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    j Each person in the party has a different number of acquaintances
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    j There is a person in the party who has an odd number of acquaintances
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    j In the party, the is no set of three mutual acquaintances
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    j None of the above
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    i Skip this question
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    5. Let g(x) = max(5 – x, x + 2). The smallest possible value of g(x) is

    j 4.0
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    j 4.5
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    j 1.5
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    j 2.0
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    j None of the above
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    6. If the product of n positive real numbers is unity, then their sum is necessarily

    j a multiple of n
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    j equal to n + 1/n
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    j never less than n
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    j a positive integer
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    j None of the above
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    7. In the figure below, the rectangle at the corner measures 10 cm ? 20 cm. The corner A of the
    rectangle is also a point on the circumference of the circle. What is the radius of the circle in cm?

                                                  

    j 10 cm
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    j 40 cm
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    j 50 cm
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    j 30 cm
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    j None of the above
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    8. How many three digit positive integers, with digits x, y and z in the hundred’s, ten’s and unit’s
    place respectively, exist such that x < y, z < y and x > 0?

    j 245
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    j 285
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    j 240
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    j 320
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    j 280
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    i Skip this question
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    9. If log 3 2, log 3 (2x – 5), log 3 (2x – 7/2) are in arithmetic progression, then the value of x is equal to

    j 5
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    j 4
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    j 2
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    j 3
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    j 6
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    i Skip this question
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    10. In a triangle ABC, AB = 6, BC = 8 and AC = 10. A perpendicular dropped from B, meets the side AC at D. A circle of radius BD (with center B) is
    drawn. If the circle cuts AB and BC at P and Q respectively, then AP : QC is equal to

    j 1:1
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    j 3:2
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    j 4:1
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    j 3:8
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    j 1:3
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    i Skip this question
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    Take this test online

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