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SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Below are a few questions on Multiple Choice. Choose the correct answer from the following questions

  1. If (s - 3) = 4s - 7, then which of the following could be the value of s?

    1. 32
    2. 1231
    3. 19
    4. 2
    5. 29

    Answer (d)

    Explanation: The first equation is s - 3 = 4s - 7, which simplifies to s = 4/3 but this is not the answer. Let us look at the second equation -(s - 3) = 4s - 7. This simplifies to 3 - s = 4s - 7 that means 5s = 10 and s = 2.

  2. If d = 2/3 and e = 6 then e/d + 4/d2 =

    1. 323
    2. 76
    3. 10
    4. 12
    5. 2346

    Answer (e)

    Explanation: Insert the values given for d and e into the equation

    e/d + 4/d2 =

    6/2 + 4/(2/3)2 =6/2/3 + 4/4/9 =

    (6*3/2) + (4 * 9/4) =

    18/2 + 36/4 = 9 + 9 = 18 therefore the correct answer is (d).

  3. As an agent, Miranda receives a $10,00 commission for each unit she sells more than 400 units, she receives an additional bonus of $1,000,00. What was the total amount Miranda received in bonuses in 2011?

    1. $568
    2. $4,00,000
    3. $129
    4. $289
    5. $123

    Answer (b)

    Explanation: Miranda sold more than 300 units in only 4 month in the year 2011; therefore, 4 months bonus will be quiet equal to the option (b).

  4. If (k - 3) = 4k - 7, then which of the following could be the value of k?

    1. 32.56
    2. 3256
    3. 15
    4. 2
    5. 43

    Answer (d)

    Explanation: The first equation is k - 3 = 4k - 7, which simplifies to k = 4/3 but this is not the answer. Let's look at the second equation - (k - 3) = 4k - 7. This simplifies to 3 - k = 4k - 7 that means 5k = 10 and k = 2.

  5. If m = cos θ and n = sin θ, then for all θ, m2 + n2 =

    1. 54
    2. 1
    3. 342
    4. 1000
    5. 97

    Answer (b)

    Explanation: Substitute for m and n. So m2 + n2 = cos2θ + sin 2θ. But you should the correct identity of cos2θ + sin 2θ = 1. Therefore the correct option is (b).

  6. If log 3 = 9 then m =

    1. 6.8
    2. 45.98
    3. 1.09
    4. 89.0
    5. 1.90

    Answer (c)

    Explanation: The equation log 3 = 9 in exponential form, m8= 3. Now you have to find the value of m, you are required to take the 9th root of both the sides. You will see that m = 1.09. The correct option is (c).

  7. If 0 < z < 1 then all of the following must be true except:

    1. z
    2. z2
    3. z < z
    4. 37z
    5. 54z

    Answer (c)

    Explanation: First place the amount 0.5 in place of z. Now z3 = 0.25, cube root of z = 0.707, z = 0.5, - z = - 0.5, -z = -0.5, and 1/z = 2. This makes A B D and E true and (c) is false.

  8. Points I, J L and F are arranged in a line in the same order. If IL = 13, JF = 14 and IF = 21 then JL =

    1. 34.21
    2. 342
    3. 8
    4. 56
    5. 97

    Answer (c)

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

  9. If c = log, (jx) then zz =

    1. cj
    2. yx
    3. 56
    4. jz
    5. 34

    Answer (b)

    Explanation: If (jx) = c is a component then c will turn into z and it will turn into jz you can compute the value of c = 3.0203. The only answer choice that equals to 1,034. Therefore (b) is the answer.

  10. If t - r > t + r, then which of the following must be true?

    1. t
    2. r < 0
    3. t > 9
    4. r > 0
    5. tr

    Answer (b)

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

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