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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 0 < p < 1 then all of the following must be true except:

    1. p2 < n
    2. p < cube root of p
    3. p < p
    4. -p < p
    5. p < 1/p

    Answer (c)

    Explanation: Place 0.5 for p. Now p2 = 0.25, square root of p = 0.707, p = 0.5, - p = - 0.5, -p = -0.5, and 1/p = 2. This makes A B D and E true and (c) is false.

  2. If set Q consists of eleven different positive integers, which of the following could be a member of Q?

    1. The mean of the members of Q
    2. The median of the members of Q
    3. The mode of the members of Q

    1. None of the above
    2. First statement
    3. Second statement
    4. First and Second statement
    5. Third and first statement

    Answer (b)

    Explanation: The median of the 11 numbers will be the average of the fifth and sixth numbers, because the numbers are different, the fifth and sixth numbers cannot be the similar so the medium will be between them. Therefore the answer  would be (b).

  3. How many different three digit numbers include only non-zero digit?

    1. 126
    2. 767
    3. 989
    4. 729
    5. 565

    Answer (d)

    Explanation: In a three digit number containing no 0, there are actually nine possibilities for the first digit from 1 to 9, 9 possibilities for the 2nd digit from 1 to 9, 9 possibilities for the third digit from 1 to 9. This makes the total of 9*9*9 possible 3 digit numbers or the option (d) that is 729.

  4. After 8:00pm a ride in a taxi costs $2.50 plus $0.30 for every fifth of a mile traveled. If the passenger travels b miles, then what is the cost of the trip, in dollars in terms of b?

    1. 6.7 + 8.9b
    2. 2.5 + 1.5b
    3. 5.3b
    4. 27 + 370b
    5. 457 + 50b

    Answer (b)

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

  5. What is the slope of the line given by the equation

    Y + 3 = 5/4 (x - 7)?

    1. 7/9
    2. 5/8
    3. 4/9
    4. 4/6
    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 equation into slope form, i.e., y=mx+c form.

  6. If a = cos Θ and b = sin Θ, then for all Θ, a2 + b2 =

    1. 7
    2. 1
    3. 67
    4. 54
    5. 8

    Answer (b)

    Explanation: Substitute for a and b. So a2 + b2 = cos2 Θ + sin 2 Θ. But cos2 Θ + sin 2 Θ = 1. Therefore the option is (b)

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

    1. 8/6
    2. 56
    3. 24
    4. 2
    5. 6/9

    Answer (d)

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

  8. If r = 2/3 and s = 6 then s/r + 4/r2 =

    1. 45
    2. 62
    3. 75
    4. 12
    5. 18

    Answer (e)

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

    s/r + 4/r2 =

    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 answer is (d)

  9. Michel and Donaldo together weigh around 300 pounds. Donaldo and Hitler together weigh around 240 pounds. If all of them weigh around 430 pounds then what is Donaldo's weight in pounds?

    1. 320
    2. 115
    3. 980
    4. 130
    5. 140

    Answer (d)

    Explanation: If Donaldo's weight is around 120 pounds, that makes Michel's weight around 180 pounds, and Hitler's weight  120 pounds, these three weights doesn't add up to 410 pounds, so you have to choose the option (d).

  10. As a saleswoman, Kelie receives a $10,00 commission for each unit she sells more than 300 units, she receives an additional bonus of $ 1,000,00. What was the total amount Kelie received as bonuses in 1996?

    1. $2,00,789
    2. $4,00,000
    3. $9,00,000
    4. $7,00,980
    5. $8,30,900

    Answer (b)

    Explanation: Kelie sold more than 300 units in only 4 months in the year 1996; therefore, 4 months bonus will be equal to the option $4,00,000, which is option (b)

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