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SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Below are the few important question with answer and explanation on Multiple choice to give you an idea.

  1. If the ratio of sec x to cos x is 1:4, then the ratio of tan x to cot x is

    1. 1:16
    2. 2:78
    3. 5:12
    4. 3:47
    5. 1:55

    Answer (a)

    Explanation: The ratio which is given can be written in fractional form like sec x/csc x = . The secant and cosecant can also be expressed in terms of sine and cosine. i/cos x/1/sin x = . The fraction simplifies to sin x/cos x = and since tan x = sin x/cos x, this can also be written as tan x = . Therefore the correct answer is (a)

  2. If log 2 = 8 then y =

    1. 5.65
    2. 8.74
    3. 1.09
    4. 8.45
    5. 6.12

    Answer (c )

    Explanation: The equation log 2 = 8 in exponential form, y8= 2. Now you have to find the value of y, you are required to take the 8th root of both the sides. You will see that y = 1.09. The correct option is (c).

  3. Points E, F G and H are arranged in a line in the same order. If EG = 13, FH = 14 and EH = 21 then FG =

    1. 98
    2. 5
    3. 8
    4. 14
    5. 52

    Answer (c)

    Explanation: To answer the problem algebraically separate x one step at a time. First you are required to multiply by 4 on the right, x - 4 = 4 - 4x. Next add 3x to each side and then add 4 to each side to get 4x = 6. Divide each side by 4 to get x = 8

  4. If 0 < g < 1 then all of the following must be true except:

    1. g2 < g
    2. g < cube root of g
    3. g < g
    4. -g < g
    5. g < 1/g

    Answer (c)

    Explanation: First place the amount 0.5 in place of g. Now g3 = 0.25, cube root of n = 0.707, g = 0.5, - g = - 0.5, -g = -0.5, and 1/g = 2. This makes A B D and E true and (c) is false.

  5. If r = log, (qx) then kz=

    1. kr
    2. yx
    3. rq
    4. qk
    5. k

    Answer (b)

    Explanation: If (qx) = r (which is a component) You can compute the value of r = 3.0203. The only answer choice that equals to 1,034. Therefore (b) is the answer.

  6. What is the slope of the line given by the equation 7z - 5 = 7 - 2m?

    1. - 45
    2. - 2/3
    3. 23
    4. 5/4
    5. -25

    Answer (b)

    Explanation: To find the slope of the line you have to just, get its equation into the form z = zm + b, where m will be the value of the slope. To find 7z - 5 = 7 - 2m in this form, just take away y. You will find that z = -2/7 + 4. Therefore the answer is (b)

  7. If m - q > m + q, then which of the following must be true?

    1. q/m
    2. q < 0
    3. m > 0
    4. q > 0
    5. m / q

    Answer (b)

    Explanation: Algebraic manipulation is the simplest way to solve this problem. You need to add q to each side which will give inequality m > m+ 2q. Now you need to subtract from each side to get 0 > 2q and therefore the answer is (b)

  8. If mn is not equal to 0 then mn - m/n / m/n =

    1. mn - 12
    2. mn + 9
    3. m - 7
    4. n + 8
    5. n2 - 1

    Answer (e)

    Explanation: In this problem it is significant to choose the number that makes the fraction m/n work out conveniently. Take m = 4 and n = 2 as it will make m/n = 2. Now put the values in the equation and you will find the correct option is (e)

  9. If for all the actual numbers y a function g(y) is defined by g(y) = {2, y ≠ 13 4, y = 13}

    Then g(15) - g(14) =

    1. 54
    2. 0
    3. 78
    4. 12
    5. 89

    Answer (b)

    Explanation: The equation g(y) = {2, y ≠ 13 4, y = 13} no values are given which is equal to 13, the functions will always come out to 2. g(15) - g(14) = 2 - 2 = 0, therefore the right answer is (b)

  10. If j5/35 = 35, then what is the value of j

    1. 23.7
    2. 3.45
    3. 12.6
    4. 3.62
    5. 21.64

    Answer (d)

    Explanation: First you are required to multiply both the sides by 35 so that j5/35 = 35 becomes j5 = 625. Then take the fifth root of each side to get j alone 5√625 = 3.62, therefore the right option is (d).

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