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UPCAT Sample Test: Basic Math

UPCAT Sample Quiz

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Basic Math Quiz

Directions: This subtest is a measure of ability to think out solutions to quantitative problems. Solve each problem carefully and then decide which is the best among the answer choices. Notes: ► Calculators of any kind are not permitted. All numbers used are real numbers. ► Figures which accompany problems in this subtest are intended to provide information useful in solving the problems. They are drawn as accurately as possible except when it is stated in a specific problem that its figure is not drawn to scale. All figures lie in a plane unless otherwise indicated.
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9 thoughts on “UPCAT Sample Test: Basic Math

  1. In the question Determine the value of k so that the line kx – 8 + 7y = 0 will be parallel to the line 2x – y + 1 = 0…
    The given answer is -14…
    If so, given that answer isn’t it asking for the value of k so that it would be PERPENDICULAR to line 2x-y+1=0.
    I’m not a math whiz like the rest of you here so I only checked…

    Like I was saying, it was asking for a line perpendicular to the given equation. Why?

    I tried getting the x and y coordinates of -14x -8 + 7y.
    X coordinate
    -14x -8 + 7(0) = 0
    -14x = 8
    x = -14/8 or -7/4

    Y coordinate
    -14(0) -8 + 7y = 0
    7y = 8
    y = 7/8

    You can get the slope of the line using rise/run which means:
    (7/8) / (-7/4)
    7/8 x (-4/7)
    -28 / 56
    m = -1/2

    Line 2x-y+1 has a slope of 2.
    None of the choices give us an equation with a slope of 2.
    The equation -14x-8+7y=0 gives us a slope of -1/2, thus, it is PERPENDICULAR TO THE LINE 2x-y+1=0

    I’m not some math genius so then again, I could be wrong…

  2. di ga po mali ang sagot sa 13? ang explanation po eh tama na 0.99 ang sagot, pero ang marked as correct eh letter C instead of B ..

    sa 29 din po.. diga po un ay:
    1 = (1/ days of Mrs.Isagani)x + (1/ days of Mrs.Rosas)x
    1 = (1/10)x + (1 / (5/2))x
    1 = (1/10)x + (2/5)x
    1 = (1/10)x + (4/10)x
    1 = (5/10)x
    1 = (1/2)x
    x = 2

    awaiting reply po kung tama.. :D .. thanks!

  3. Yung question number 9 explanation doesn’t support question number 9′s correct answer. please check po. mukhang baliktad lang po yung B and C.

  4. Pingback: UPCAT Review – Your Ultimate Guide

  5. I think there’s something wrong with the answer in Q#18. The rate of Mr. Rosas should be x/(5/2). Simplifying it should be 2x/5.

    x/10 + 2x/5 = 1
    5x/10=1
    5x=10
    x=2.
    So the time should be 2.

  6. OMG. This so hard, even basic math I can’t pass, lol. But I got 44/50 in Vocabulary. Being American is a great advantage in taking the UPCAT. lmao. Goodluck to all of us.

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