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SAT Sample Questions » Quantitative Section : Quantitative Ability

# Quantitative Section : Quantitative Ability

Given below are the few questions on Multiple choice with answer and explanation.

1. If g(y) = |y| + 10 for which of the following values of x does g(y) = g(-y)?

1. 25 y
2. 34y
3. All real y
4. 60 except y
5. 52y

Explanation: To start with the equation the above given statement g(y) = g(-y) when y = -10 and 10. A simple number like zero works best. g(0) = Ι0Ι + 10 = 10. You can see that g(0) = f(-0) so zero must be the part of correct answer, therefore (c) is the correct option.

2. If b/c = 0.455, then b/a is equal to which of the following?

1. 9.67
2. 2.67
3. 5.78
4. 0.45
5. 6.45

Explanation: Make the base on both sides of the equation the same. 233 is similar as 35. So 45x  = 45, which means that x = 1. Therefore the correct option would be (b)

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

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

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

4. The distance between the points (-8, 6) and (-8, -14) is

1. √21
2. 78
3. 52
4. 17
5. √14

Explanation: Notice that the x coordinate in both points is the same. So you just have to find the difference in the y coordinates. The difference is 6 - (-14) = 17

5. If 7c + 2d = 11 and c - 2d = 5, then what is the value of c?

1. - 5.0
2. - 8.5
3. - 0.8
4. 5.12
5. 2.0

Explanation: When you have two equations which is very similar in form you are probably looking at classic ETS style simultaneous equations. Adding the two equations cancels out the d term leaving you with the equation 8c = 16, so c = 2

6. If m(y) = y2 - 5y, then m(-5) =

1. 0
2. 2.3
3. 9.0
4. 5.9
5. 50.0

Explanation: Plug - 5 into the function: (-5)2 - 5 (-5) = 50

7. What is the slope of the line given by the equation 4n - 5 = 7 - 2m?

1. - 23
2. - 2/3
3. 9/5
4. 7
5. 10

Explanation: To find the slope of the line without difficulty, get its equation into the form n = ma + b, where m will be the value of the slope. To express 4n - 5 = 7 - 2m in this form, just isolate n. You will find that n = -2/4 + 4. Here the slope of the line (m) is - 2/4

8. In a right triangle ABC Angle B measures 90°, angle C measures 27° and AB = 9. What is the length of the hypotenuse of triangle ABC?

1. 7.84
2. 9.56
3. 2.78
4. 19.8
5. 85.6

Explanation: The triangle described here will look like this

Here you can see h is the unknown length of the hypotenuse. You can see you're given the measure of an angle and the length of the opposite side of the right angle triangle. According to the formula sin = opposite/hypotenuse. You have to just place the given information in the formula and solve the missing number. Sin 27° = 9/h. h = 9/sin 27°. H = 9/sin 27°= 9/0.454 = 19.82. Therefore the option is (d).

9. Which of the following is 0 of

f(x) = x2 + 6x - 12?

1. -8.45
2. -7.58
3. 5.85
4. 3.78
5. 1.52

Explanation: Place each answer option for x in the statement f(x) = 0 . You can also graph y = x2 + 6x - 12 = - 7.58. Therefore the option is (b)

10. If sin x = m and 0 < x < 90 than tan x =

1. m/52
2. m/√1 - m2
3. 45/m
4. 5 - m
5. m/12

Explanation: Take x = 30°. Therefore sin 30°= 0.5 = m tan 30° = 0.577. Now place 0.5 in the place of m and you will see the correct option is (b)

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