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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 h(p) = |p| + 20 for which of the following values of p does h(p) = h(-p)?

    1. hp
    2. 2p
    3. All real g
    4. 89p
    5. 87h

    Answer (c)

    Explanation: To start with the equation the statement h(p) = h(-p) when h = -20 and 20. A simple number like zero works best. h(0) = Ι0Ι + 20 = 20. You can see that h(0) = h(-0) so zero must be the part of correct answer, therefore (c) is the correct option.

  2. What is the distance between the e intercept and the c intercept of the line given by the equation?

    2c = 6 - w?

    1. 6.78
    2. 56.13
    3. 5.81
    4. 85
    5. 15.23

    Answer (c)

    Explanation: To find the c - intercept just make e = 0 and solve for c. c= 3. Now to find the e intercept, make c = 0 and solve for e. 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 the Pythagoras theorem to find the length of the hypotenuse, which will be equal to 5.8178 approximately; therefore the answer is (c).

  3. If b(k) =2k2+ 2 then what is the value of b(k + 5)?

    1. 8k
    2. 89/41
    3. 8/5p
    4. 89k
    5. 2j2+ 16j +34

    Answer (e)

    Explanation: Since there are variables in the answer choices you should insert in. Try k = 3. We are trying to find b(3 + 5) = b(8) = 2(8)2 + 2 which is 100 our target number. Now insert 3 in for k in the answer choices to see which answer choice goes with the target its (e)

  4. If f(o) = 3√y and u(o) = √o + 1, then f(u(4.5)) =

    1. 12.78
    2. 1.2
    3. 2.1
    4. 5.6
    5. 9.14

    Answer (b)

    This is a compound question, in which you are required to apply two functions in combination. You require to place the numbers 4 and 5 in place of r is the definition of u(o) u(4,5) = √4.5 is equal to f(1.76), which can easily be solved by f(1.76) = 2√1.76 = 1.21. The correct option is (b).

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

    1. 1:16
    2. 56.12
    3. 89.12
    4. 23.45
    5. 89/2

    Answer (a)

    Explanation: The ratio which is given can be written in fractional form like sec p/cosec p = 1/8. The secant and cosecant can also be expressed in terms of sine and cosine. 1/cos p/1/sin p = 1/8. The cotangent is the reciprocal of the tangent so cot p = 4. Therefore the correct answer would be (a)

  6. If i - 7 = 7 (i - i), then what is the value of i?

    1. 0.33
    2. 78/5
    3. 157
    4. 314
    5. 2.45

    Answer (a)

    Explanation: The fraction u/h is an equal to h/u. To find the numerical value of u/h just turn the numerical value of h/u; this comes to 0.735. Your calculation will tell you that 1/0.735 = 0.33.

  7. If p varies directly as n and p/d = 10, then what is the value of p when d = 2.2?

    1. 16
    2. 0.23
    3. 7/6
    4. 45
    5. 11.00

    Answer (e)

    Explanation: Direct variation between two quantities means that they always have the same quotient. In this case, it means that p/d must always be equal to 10. To find the value of p when d = 2.2, set up the equation p/2.2 = 10 and solve for p. You will find that p = 11

  8. (r3)6 * (r4)5/r2 =

    1. R6
    2. r 18
    3. r 48
    4. r 36
    5. r 65

    Answer (d)

    Explanation: A quick evaluation of exponent rules. When increasing the powers to powers; you need to multiply exponents. When multiplying the powers of the similar base include exponents and when dividing powers of the similar base, subtract exponents. For this problem you have to do all three to get correct answer.

  9. If the perimeter of a rectangle is 80, what is the area of the rectangle?

    1. 13√3
    2. 25√2
    3. 56
    4. 185
    5. 324

    Answer (e)

    Explanation: The opposite sides of the rectangle are the same. So the opposite side must be 18. Since the area of a rectangle is side2, therefore it is (18)2 = 324.

  10. Where defined, {j2 - 3/3} {8/2j + 3} =

    1. 7m
    2. 56
    3. j - 2
    4. m+ 9
    5. 4m2 /8

    Answer (c)

    Explanation: You can just factor this one and then cancel

    {j2 - 3/3} {8/2j + 3} = {(j + 2) (j - 2)/3} {2 * 3/2(j + 2)} = j - 2

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