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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 (a + b)2 = 15 and ab = 5 then a2 +b2 =

    1. 45
    2. 78
    3. 8
    4. 23
    5. 5

    Answer (5)

    Explanation: (a + b)2 = 15

    (a + b) (a = b) = 15

    A2 + 2ab + b2 = 15

    Since ab = 5

    A2 2(5) + b2 = 15

    A2 + 10 + b2 = 15

    A2 + b2 = 5 Therefore the correct option is (e)

  2. If w(a) = 5a2+5a+5, which of the following is equal to w(-4.5)?

    1. 23b
    2. 89/4
    3. b(2.5)
    4. 86b3
    5. 5.78k

    Answer (c)

    If you see carefully then you can notice w(-4.5) and w(4.5) both are equal to 39. Therefore the correct answer is option (c)

  3. What is the distance between the p intercept and the v intercept of the line given by the equation?

    2v = 6 - p?

    1. 784
    2. 125
    3. 6.71
    4. 2.784
    5. 365

    Answer (c)

    Explanation: To find the v - intercept just make p = 0 and solve for v. v= 3. Now to find the p intercept, make v = 0 and solve for p. 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 used Pythagoras theorem to find the length of the hypotenuse, which will be equal to 6.7156 approximately; therefore, the answer is (c).

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

    1. p < 8
    2. 25p
    3. 564
    4. 147
    5. 45

    Answer (a)

    Explanation: Algebraic manipulation is the simplest way to answer this problem. You require to add to each side which will give inequality a > a + 2p. Now you are required to subtract from each side to get 0 > 2p and you will find your answer is (b).

  5. If k(u) =2u2+ 2 then what is the value of k(u + 8)?

    1. 32
    2. 41k
    3. 872
    4. 25u
    5. 2y2+ 16y +34

    Answer (e)

    Explanation: Since there are variables in the answer choices you should insert in. Try u = 3. We are trying to find k(3 + 8) = k(8) = 2(8)2 + 2 which is 100 our target number. Now insert 3 in for y in the answer choices to see which answer choice goes with the target its (e)

  6. Find the slope of the line given by the equation

    d + 3 = 3/2 (b - 7)?

    1. 897
    2. 23
    3. 15/45
    4. 478
    5. 5/4

    Answer (e)

    Explanation: You may see that this is the point slope form and that the slope is 3/2. If you don't see that rewrite the equations into slope form.

  7. If the ratio of sec b to cos b is 1:8, then the ratio of tan b to cot b is

    1. 1:16
    2. 6:45
    3. 89:12
    4. 9:16
    5. 2:78

    Answer (a)

    Explanation: The ratio which is given can be written in fractional form like sec p/cosec b = 1/8. The secant and cosecant can also be expressed in terms of sine and cosine. 1/cos b/1/sin b = 1/8. The cotangent is the reciprocal of the tangent so cot b = 8. Therefore, the correct answer would be (a)

  8. If p = 5/2 and a = 6 then ap + 4/p2 =

    1. 2
    2. 56
    3. 78
    4. 18
    5. 235

    Answer (e)

    Explanation: Insert the values given for p and a into the equation

    a/p + 4/p2 =

    6/2 + 4/(5/2)2 =6/5/2 + 4/4/9 =

    (6*2/5) + (4 * 9/4) =

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

  9. If b - 5 = 5 (1 - b), then what is the value of b?

    1. 0.33
    2. 456
    3. 784
    4. 12.74
    5. 32

    Answer (a)

    Explanation: The fraction w/m is a equal to n/w. To find the numerical value of w/m just turn the numerical value of m/w; this comes to 0.724. Your calculation will tell you that 1/0.724 = 0.33.

  10. If 9q + 2p = 11 and w - 3p = 5, then what is the value of w?

    1. 124
    2. 98
    3. 78
    4. 89
    5. 2.0

    Answer (e)

    Explanation: When you have two equations which are very similar in form you are probably looking at classic ETS style simultaneous equations. Adding the two equations cancels out the d term leaving you with the equation 8q = 16, so w = 2.

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