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SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Given below are a few important questions on Multiple Choices with answers and explanation. Select the right answer from the following questions.

  1. If b(x) = 5x2+5x+5, which of the following is equal to b(-4.5)?

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

    Answer (c)

    Explanation: You require a graphing calculator, you need to press the Y key and enter the function. You will check the value of the Table you can find that b(-4.5) and b(4.5) both are equal to 39. But if you do not possess graphing calculator, you can make the use of PITA.

  2. What is the distance between the z intercept and the s intercept of the line given by the equation

    2s = 6 - z?

    1. 78/96
    2. 56.124
    3. 6.71
    4. 89.014
    5. 74.137

    Answer (c)

    Explanation: To find the s - intercept just make z = 0 and solve for s. s= 3. Now to find the z intercept, make s = 0 and solve for z. 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).

  3. b varies directly as the square of d. When b = 3.5, d = 0.5 If b = 80, then d would be equal to

    1. - 2 √2
    2. 45.78
    3. -89
    4.  32/5
    5. 23/41

    Answer (a)

    Explanation: If b varies directly as the square of the d, it means b / d2 will always have the same value. So set up a proportion 3.5/(0.5)2 = 80/d2. You require to cross multiply and solve d2 = 8. Therefore d = +2√2

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

    1. t < 8
    2. h - 1
    3. 45/8
    4. 76/9
    5. 86

    Answer (a)

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

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

    o + 3 = 4/7 (p - 7)?

    1. 46/8
    2. 12/7
    3. 8/9
    4. 45/12
    5. 5/4

    Answer (e)

    Explanation: You may see that this is the point slope form and that the slope is 4/7. If you don't see that rewrite the equations into slope form.

  6. If g(b) =2b2+ 2 then what is the value of g(b + 8)?

    1. 51/2g
    2. 86g + 52
    3. 78g - 56
    4. 15b + 85
    5. 2j2+ 16j +34

    Answer (e)

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

  7. If r mod a is the remainder when r is divided by a, then (91 mod 7) - (9 mod 9) =

    1. 9/6
    2. 6
    3. 78/2
    4. 5
    5. 7/5

    Answer (d)

    Explanation: To find the value of a and r just take the number as the r position and divide it by the number in a position. The remainder is the value of r and a of those numbers. The value of 81 and 7 is 9. The expression (91 mod 7) - (9 mod 9) can be rewritten as 9 - 0 which equals 9. Therefore, the correct answer is (d).

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

    1. 1:16
    2. 1:23
    3. 7:15
    4. 8:13
    5. 9:23

    Answer (a)

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

  9. The distance between the points (-5, 10) and (-5, -14) is

    1. 16
    2. 77
    3. 89
    4. 24
    5. 85

    Answer (d)

    Explanation: Notice that the b coordinate in both points is the same. So you just have to find the difference in the d coordinates. The difference is 10 - (-14) = 24

  10. If j = 5/2 and q = 6 then q/j + 4/j2 =

    1. 124
    2. 95
    3. 9
    4. 74.12
    5. 2346

    Answer (e)

    Explanation: Insert the values given for j and q into the equation

    q/j + 4/j2 =

    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).

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