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

    1. - 2 √2
    2. 98h
    3. 48
    4. 1/8
    5. 78/4

    Answer (a)

    Explanation: If h varies directly as the square of i, it means that h / i2 will always have the same value. So set up a proportion 2.5/(0.5)2 = 80/i2. You require to cross multiply and solve i2 = 8. Therefore i = +2√2

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

    1. -45
    2. p < 8
    3. 78p
    4. 78:45
    5. 9

    Answer (b)

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

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

    1. 59t
    2. d < f
    3. 8/5
    4. df
    5. 87

    Answer (b)

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

  4. Which of the following has the greatest value?

    1. 400500
    2. 8100
    3. 0.458
    4. 35
    5. 7

    Answer (a)

    Explanation: The significant fact about this question is that it is not necessary to find the correct value of the expression. You need to rearrange as many answer choices as possible so that they have the exponents of 100. Take a close glance on each of the expression 400500, 35, 7, 0.458, 8100.It will make clear that (a) is bigger than (c), therefore the answer is (a)

  5. What is the distance between the c intercept and the u intercept of the line given by the equation?

    2z = 6 - w?

    1. 23
    2. 33
    3. 5.81
    4. 0.45
    5. 789

    Answer (c)

    Explanation: To find the u - intercept just make c = 0 and solve for u. u= 3. Now to find the c intercept, make u = 0 and solve for c. 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 5.8156 approximately; therefore the answer is (c).

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

    1. 124
    2. 78
    3. 148
    4. 729
    5. 54

    Answer (d)

    Explanation: If there is a three digit number 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. After 8:00 am ride in a bike costs $1.50 plus $0.50 for every sixth of a mile traveled. If the traveler travels a miles then what is the price of the trip, in dollars, in terms of a?

    1. 90
    2. 2.5 + 1.5x
    3. 45a
    4. 847
    5. 7/9

    Answer (b)

    Explanation: Suppose that you are travelling 6 miles (a = 6). To find the right answer place 5 in place of a and see which one gives you value of 9 and you will find the correct answer would be option (b).

  8. If t = cos θ and p = sin θ, then for all θ, t2 + p2 =

    1. 87
    2. 1
    3. 78
    4. 27
    5. 7

    Answer (b)

    Explanation: Substitute for t and y. So t2 + p2 = cos2θ + sin 2θ. But you should the correct identity of cos2θ+ sin 2θ= 1. Therefore the option is (b).

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

    h + 4 = 3/4 (g - 7)?

    1. 23
    2. 96
    3. 87
    4. 56
    5. 5/4

    Answer (e)

    Explanation: You may see that this is the point slope form and that the slope is 5/4. If you don't see that rewrite the equations into slope form.

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