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SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Given below are a few important questions on Multiple Choices with answers and explanation. Select the right answer from the following questions.

  1. If log 5 = 7 then y =

    1. 45/23
    2. 78.45
    3. 1.09
    4. 4j
    5. 32.45

    Answer (c)

    Explanation: The equation log 5 = 7 in exponential form, j7= 5. Now you have to find the value of j, you are required to take the 7th root of both the sides. You will see that j = 1.09. The correct option is (c).

  2. If 0 < p < 1 then all of the following must be true except:

    1. 78/1
    2. px
    3. p < p
    4. p/4
    5. p <5

    Answer (c)

    Explanation: First place the amount 0.5 in place of g. Now p3 = 0.25, cube root of n = 0.707, p = 0.5, - p = - 0.5, -p = -0.5, and 1/p = 2. This makes (a), (b) (d ) and (e) true and (c) is false.

  3. What is the distance between the c intercept and the h intercept of the line given by the equation

    2h = 6 - c?

    1. 12/78
    2. 159
    3. 6.71
    4. 4561
    5. 45/2

    Answer (c)

    Explanation: To find the value h you have to intercept and make c = 0 and solve for h. h= 3. Now to find the c intercept, make h = 0 and solve for c. You will see that they form a right angle triangle with length of 3 and 6, in which the hypotenuse stand for the distance in between the two different points. You are required to use  Pythagoras theorem to find the length of the hypotenuse, which will be equivalent to 6.7156 approximately; therefore the answer is (c).

  4. If z = log, (fx) then bz =

    1. zf
    2. zx
    3. z/1
    4. fz
    5. b

    Answer (b)

    Explanation: If (fx) = z (which is a component) you can calculate the value of z = 3.0203. The only answer choice that equals to 1,034. Therefore (b) is the answer.

  5. If p/m = 0.625, then m/p is equal to which of the following?

    1. 146
    2. 2.67
    3. 45/3
    4. 951
    5. 357

    Answer (b)

    Explanation: Make the base on both sides of the equation the same. 8 is similar as 23. So 23x  = 23, which means that y = 1

  6. The distance between the points (-3, 5) and (-3, -18) is

    1. 78/5
    2. 13
    3. 753
    4. 23
    5. 784

    Answer (d)

    Explanation: Notice that the b coordinate in both points is the same. So you just have to find the difference in the coordinates. The difference is 5 - (-18) = 23

  7. If o varies directly as n and o/p = 5, then what is the value of o when p = 2.2?

    1. 78/5
    2. 894
    3. 1.45
    4. 12
    5. 11.00

    Answer (e)

    Explanation: Difference between two quantities means that they always have the similar quotient. In this case, it means that o/p must always be equal to 5. To find the value of o when p = 2.2, set up the equation o/2.2 = 5 and solve for o. You will find that o = 11

  8. If l(j) = 5 - 2x and o (j) = j2 + 7, then l (o(2)) =

    1. - 17
    2. 4/5
    3. 78
    4. 10
    5. 98

    Answer (a)

    Explanation: Work from the inside out, o(2) = 22 + 7 = 11. Now place 11 for j l(11) = 5 - 2 (11) = - 17

  9. If the perimeter of a cube is 60, what is the area of the cube?

    1. 235
    2. 7894
    3. 103
    4. 457
    5. 225

    Answer (e)

    Explanation: The sides of the cube are the same. So each side must be 15. Since the area of a cube is side 2, therefore it is (15)2 = 225.

  10. Where defined, {z2 - 3/3} {8/2z + 3} =

    1. 7/8
    2. 45z
    3. z - 2
    4. 5 / 6
    5. 3z3 - 8

    Answer (c)

    Explanation: You require to factor and then cancel

    {z2 - 3/3} {8/2z + 3} = {(z + 2) (z- 2)/3} {3 * 4/3(z + 2)} = z - 2

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