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SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Below are the few important questions on Multiple Choices with answers and explanations. Choose the right answer from the following questions.

  1. If z(j) =2j2+ 2 then what is the value of z(j + 5)?

    1. 78p2+8
    2. 71p2 + 8
    3. 10p2+ m +5
    4. 14p2+ 5 +87
    5. 2j2+ 16j +34

    Answer (e)

    Explanation: Since there are variables in the answer choices you should insert in. Try j = 3. We are trying to find z(3 + 5) = z(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)

  2. How many different three digit number contain only non-zero digit?

    1. 7841
    2. 701
    3. 521
    4. 729
    5. 124

    Answer (d)

    Explanation: In a three digit numeral containing no 0. There are nine possibilities for the first number from 1 to 9, 9 possibilities for the 2nd numeral 1 to 9, 9th possibilities for the third number 1 to 9. This makes the total of 9*9*9 possible 3 numeral numbers, therefore the correct option would be (d)

  3. If e(r) = 3√x and p(r) = √r + 1, then e(p(5.3)) =

    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 5 and 3 in place of r is the definition of p(r) p(5,3) = √5.3 is equal to e(1.76), which can easily be solved by e(1.76) = 2√1.76 = 1.21. The correct option is (b).

  4. If u mod z is the remainder when u is divided by z, then (81 mod 7) - (9 mod 9) =

    1. 78
    2. 9
    3. 12
    4. 5
    5. 78/2

    Answer (d)

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

  5. If the ratio of sec p to cos p is 1:4, then the ratio of tan p to cot p is

    1. 1:16
    2. 7:78
    3. 56.7
    4. 1:76
    5. 5:25

    Answer (a)

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

  6. If e/f = 0.595, then f/e is equal to which of the following?

    1. 78/1
    2. 2.67
    3. 418
    4. 32.5
    5. 9/6

    Answer (b)

    Explanation: Make the base on together sides of the equation the same. 243 is alike as 45. So 45x = 45, which means that p = 1

  7. If l - 7 = 7 (1 - l), then what is the value of l?

    1. 0.33
    2. 4.78
    3. 87/2
    4. 3.78
    5. 0.45

    Answer (a)

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

  8. The distance between the points (-8, 9) and (-8, -14) is

    1. 82
    2. 7.45
    3. 8/5
    4. 23
    5. 41

    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 9 - (-14) = 23

  9. If p - 4 = 4 (1 - p), then what is the value of p?

    1. 0.33
    2. 0.85
    3. 1.40
    4. 5.45
    5. 9.41

    Answer (a)

    Explanation: The fraction t/s is a reciprocal of a/t. To find the numerical value of t/s, just reverse the numerical value of s/t, which is 0.625. Your calculation will tell you that 1/0.625 = 0.33.

  10. h varies directly as the square of k. When h = 3.2, k = 0.7 If h = 80, then k would be equal to

    1. - 2 √2
    2. 56/5
    3. 78.2
    4. 4.5
    5. 21

    Answer (a)

    Explanation: If h varies directly as the square of the k, it means h / k2 will always have the same value. So set up a proportion 3.2/(0.7)2 = 80/k2. You require to cross multiply and solve k2 = 8. Therefore k = +2√2

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