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SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Below we have given a few questions and answers on Multiple Choice. These questions will help you solve questions on multiple choice

  1. If (m - 2) = 4m - 7, then which of the following could be the value of m?

    1. 65
    2. 98
    3. 57.98
    4. 2
    5. 78

    Answer (d)

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

  2. If b = 2/3 and j = 6 then j/b + 4/b2 =

    1. 986
    2. 57
    3. 75
    4. 89
    5. 2346

    Answer (e)

    Explanation: You have to just insert the values. Insert the values given for b and j into the equation

    j/b + 4/b2 =

    6/2 + 4/(2/3)2 =6/2/3 + 4/4/8 =

    (6*3/2) + (4 * 8/4) =

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

  3. As an agent, Robbie receives a $10,00 commission for each unit she sells more than 500 units, she receives an additional bonus of $ 2,000,00. What was the total amount Robbie received in bonuses in 2011?

    1. $675
    2. $4,00,000
    3. $897
    4. $990
    5. $764

    Answer (b)

    Explanation: Robbie sold more than 500 units in only 4 month in the year 2011; therefore 4 months bonus will be quiet equal to the option (b)

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

    1. 876
    2. 745
    3. 89
    4. 2
    5. 78

    Answer (d)

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

  5. If b = cos θ and c = sin θ, then for all θ, b2 + c2 =

    1. 81
    2. 1
    3. 89
    4. 54
    5. 60

    Answer (b)

    Explanation: Substitute for m and c. So b2 + c2 = cos2 θ + sin 2 θ. But you should the correct identity of cos2 θ + sin 2 θ = 1. Therefore the correct option is (b)

  6. If log 3 = 9 then g =

    1. 8.90
    2. 98
    3. 1.09
    4. 89.096
    5. 3.098

    Answer (c)

    Explanation: The equation log 3 = 9 in exponential form, g8= 3. Now you have to find the value of g, you are required to take the 9th root of both the sides. You will see that g = 1.09. The correct option is (c).

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

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

    Answer (c)

    Explanation: First place the amount 0.5 in place of b. Now b3 = 0.25, cube root of b = 0.707, b = 0.5, - b = - 0.5, -b = -0.5, and 1/b = 2. This makes (a), (b), (d) and (e) true and (c) false.

  8. Points P, O A and V are arranged in a line in the same order. If PA = 13, OF = 14 and PV = 21 then OA =

    1. 987
    2. 89
    3. 8
    4. 53
    5. 25

    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 u = log, (mx) then wz =

    1. 2m
    2. wx
    3. 78
    4. 3w
    5. 67

    Answer (b)

    Explanation: If (mx) = a is a component then a that turn w into mz. You can compute the value of u = 3.0203. The only answer choice that equals to 1,034. Therefore (b) is the answer.

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

    1. w
    2. a < 0
    3. w> 9
    4. a > 0
    5. 78

    Answer (b)

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

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SAT Sample Quantitative Question Number : 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60 | 61-70 | 71-80 | 81-90 | 91-100 | 101-110 | 111-120 | 121-130 | 131-140 | 141-150 | 151-160 | 161-170 | 171-180 | 181-190 | 191-200 | 201-210 | 211-220 | 221-230 | 231-240 | 241-250
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