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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. p varies directly as the square of r. When p = 2.5, r = 0.5 If p = 80, then r would be equal to

    1. - 2 √2
    2. 65
    3. 124
    4. 89/5
    5. 12

    Answer (a)

    Explanation: If p varies directly as the square of the r, it means p / r2 will always have the same value. So set up a proportion 2.5/(0.5)2 = 80/r2. You require to cross multiply and solve r2 = 8. Therefore r = +2√2

  2. If c - n > c + n, then which of the following must be true?

    1. 23v
    2. n < 8
    3. 45
    4. 989
    5. 124

    Answer (b)

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

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

    1. 89a
    2. a < w
    3. 45.42
    4. 78/5
    5. 45

    Answer (b)

    Explanation: You have to add 0 to each side which will give dissimilarity a> a+ 2q. Now you have to subtract from each side to get 0 > 2w and therefore the answer is (b)

  4. Which of the following has the greatest value?

    1. 800600
    2. 10200
    3. 2.425
    4. 30
    5. 80

    Answer (a)

    Explanation: The significant fact about this question is that it is not necessary to find the correct value of the expression. You require rearranging as many answer choices as possible so that they have the exponents of 100. Take a close glance on each of the expression 800600, 30, 80, 2.425, 10200. It will make clear that (a) is bigger than (c), therefore the answer is (a)

  5. What is the distance between the m intercept and the k intercept of the line given by the equation?

    2z = 6 - m?

    1. 63.00
    2. 89.12
    3. 5.81
    4. 56.78
    5. 2.78

    Answer (c)

    Explanation: To find the k - intercept just make m = 0 and solve for k. k= 3. Now to find the m intercept, make k = 0 and solve for m. 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 use Pythagoras theorem to find the length of the hypotenuse, which will be equal to 5.8156 approximately; therefore the answer is (c).

  6. How many dissimilar three digit numbers include only non-zero numbers?

    1. 894
    2. 124
    3. 56
    4. 729
    5. 234

    Answer (d)

    Explanation: If there is a three digit no and it has the no 0. Then there are in fact nine possibilities for the first numbers from 1 to 9, 9 possibilities for the 2nd numbers from 1 to 9, 9th possibilities for the third number from 1 to 9. This comes to the total of 9*9*9 possible 3 digit numbers therefore the right answer is 729.

  7. If b = cos θ and l = sin θ, then for all θ, b2 + l2 =

    1. 235
    2. 1
    3. 65
    4. 127
    5. 78

    Answer (b)

    Explanation: Substitute for x and y. So b2 + l2 = cos2θ + sin 2θ. But you should the correct identity of cos2θ+ sin 2θ= 1. Therefore the option is (b).

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

    o + 3 = 3/2 (k - 3)?

    1. 5/6
    2. 59
    3. 89
    4. 45
    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.

  9. If log 6 = 9 then a =

    1. 12.354
    2. 89.456
    3. 1.09
    4. 78.456
    5. 12.45

    Answer (c)

    Explanation: The equation log 6 = 9 in exponential form, k7= 6. Now you have to find the value of k, you are required to take the 9th root of both the sides. You will see that k = 1.09. The correct option is (c).

  10. If t < w < 1 then all of the following must be true except:

    1. 89
    2. 34w
    3. w < w
    4. 789
    5. 145

    Answer (c)

    Explanation: First place the amount 0.5 in place of g. Now w3 = 0.25, cube root of n = 0.707, w = 0.5, - w = - 0.5, -w = -0.5, and 1/w = 2. This makes (a), (b) (d) and (e) true and (c) false.

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