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SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Below are the few important questions on Multiple choice.

  1. All the following can be formed by the intersection of a cube and a plane EXCEPT

    1. A cube
    2. A rectangle
    3. A square
    4. A line
    5. A circle

    Answer (e)

    Explanation: This is a visual perception question and there is no easy technique to follow to solve this problem. You need to draw the sketches of the diagram.

    The intersection of a cube and a plane can be triangle

    A point

    A rectangle

    Or a line segment

    But if you see the above diagrams carefully you can see that there is no way to produce a circle, as none of the cube's faces is curved. Therefore the correct option would be (e).

  2. The polar equation r sin θ = 1 defines the graph of

    1. A line
    2. A Rectangle
    3. A point
    4. A Hyperbole
    5. An ellipse

    Answer (a)

    Explanation: This equation is very simple than it appears to be. If you observe the equation carefully x = r cos θ and y = r sin θ. This clearly states that equation r sin θ = 1 which simply shows y = 1 in which rectangular coordinates and it as a horizontal line. Therefore the correct option would be (a).

  3. If the 20th term of an arithmetic sequence is 20 and the 50th term is 100. What is the first term of the sequence?

    1. - 23.455
    2. -30.67
    3. 47.00
    4. 4.45
    5. 9.15

    Answer (b)

    The arithmetic sequence is one that one goes up by adding a constant quantity again. As the 20th term in the sequence of 20th and the 50th term is 100. That will make each step worth 80/30. You can solve the value of a1

    20 = a1 + 19 * 2.666

    20 = a1 + 50.666

    a1 = - 30.666

    Therefore the correct option would be (b).

  4. m varies directly as the square of n. When m = 2.5, n = 0.5 If m = 80, then x would be equal to

    1. - 2 √2
    2. -9.56
    3. 210
    4. 89/5
    5. 78/2

    Answer (a)

    Explanation: If m varies directly as the square of the n, it means m / n3 will always have the same value. So set up a proportion 2.5/(0.5)3 = 80/n3. You require to cross multiply and solve n3 = 8. Therefore n = +2√2

  5. What is the distance between the u intercept and the h intercept of the line given by the equation?

    2h = 6 - u?

    1. 89/5
    2. 45/2
    3. 5.81
    4. 2/5
    5. 3.56

    Answer (c)

    Explanation: To find the h - intercept just make u = 0 and solve for h. h= 3. Now to find the w intercept, make h = 0 and solve for u. You will see that they form a right angle triangle with length of 3 and 6, in which the hypotenuse represents the distance in between the two distinct points. You are required to use here the Pythagoras theorem to find the length, which will be equal to 5.8156 approximately; therefore the answer is (c).

  6. If s(m) = |m| + 10 for which of the following values of x does s(m) = s(-m)?

    1. 8/9m
    2. 45s
    3. All real m
    4. 89.8m
    5. 8/6s

    Answer (c)

     

    Explanation: To start with the equation the above given statement s(m) = s(-m) when m = -10 and 10. A simple number like zero works best. s(0) = Ι0Ι + 10 = 10. You can see that s(0) = m(-0) so zero must be the part of correct answer, therefore the correct option is (c).

     

  7. The distance between the points (-5, 7) and (-5, -15) is

    1. 25.5
    2. 83
    3. 8/6
    4. 17
    5. 4.5

    Answer (d)

    Explanation: Notice that the t coordinate in both points is the same. So you just have to find the difference in the j coordinates. The difference is 7 - (-15) = 17

  8. If 7r + 2l = 11 and r - 2l = 5, then what is the value of r?

    1. 45
    2. 8/3
    3. 45.6
    4. 78.23
    5. 2.0

    Answer (e)

    Explanation: When you have two equations, then you would be most likely looking at classic ETS style simultaneous equations. Adding the two equations cancels out the l term leaving you with the equation 8r = 16, so r = 2

  9. What is the slope of the line given by the equation 4d - 5 = 7 - 2k?

    1. 1/5
    2. - 2/3
    3. 12
    4. 7\87
    5. 45

    Answer (b)

    Explanation: To find the slope of the line without difficulty, get its equation into the form d = ka + b, where m will be the value of the slope. To express 4d - 5 = 7 - 2m in this form, just isolate d. You will find that d = -2/4 + 4. Here the slope of the line (k) is - 2/4

  10. Which of the following is 0 of

    v(h) = h2 + 6h - 12?

    1. 45/12
    2. -7.58
    3. 45/5
    4. 78
    5. 98

    Answer (b)

    Explanation: Place each answer option for h in the statement v(h) = 0 . You can also graph y = h2 + 6h - 12 = - 7.58. Therefore the option is (b)

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