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SAT Sample Questions » Quantitative Section : Quantitative Ability

# Quantitative Section : Quantitative Ability

Below are the few important question with answer and explanation on Multiple choice to give you an idea.

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

1. 1:16
2. 2:78
3. 5:12
4. 3:47
5. 1:55

Explanation: The ratio which is given can be written in fractional form like sec x/csc x = ¼. The secant and cosecant can also be expressed in terms of sine and cosine. i/cos x/1/sin x = ¼. The fraction simplifies to sin x/cos x = ¼ and since tan x = sin x/cos x, this can also be written as tan x = ¼. Therefore the correct answer is (a)

2. If log 2 = 8 then y =

1. 5.65
2. 8.74
3. 1.09
4. 8.45
5. 6.12

Explanation: The equation log 2 = 8 in exponential form, y8= 2. Now you have to find the value of y, you are required to take the 8th root of both the sides. You will see that y = 1.09. The correct option is (c).

3. Points E, F G and H are arranged in a line in the same order. If EG = 13, FH = 14 and EH = 21 then FG =

1. 98
2. 5
3. 8
4. 14
5. 52

Explanation: To answer the problem algebraically separate x one step at a time. First you are required to multiply by 4 on the right, x - 4 = 4 - 4x. Next add 3x to each side and then add 4 to each side to get 4x = 6. Divide each side by 4 to get x = 8

4. If 0 < g < 1 then all of the following must be true except:

1. g2 < g
2. g < cube root of g
3. g < g
4. -g < g
5. g < 1/g

Explanation: First place the amount 0.5 in place of g. Now g3 = 0.25, cube root of n = 0.707, g = 0.5, - g = - 0.5, -g = -0.5, and 1/g = 2. This makes A B D and E true and (c) is false.

5. If r = log, (qx) then kz=

1. kr
2. yx
3. rq
4. qk
5. k

Explanation: If (qx) = r (which is a component) You can compute the value of r = 3.0203. The only answer choice that equals to 1,034. Therefore (b) is the answer.

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

1. - 45
2. - 2/3
3. 23
4. 5/4
5. -25

Explanation: To find the slope of the line you have to just, get its equation into the form z = zm + b, where m will be the value of the slope. To find 7z - 5 = 7 - 2m in this form, just take away y. You will find that z = -2/7 + 4. Therefore the answer is (b)

7. If m - q > m + q, then which of the following must be true?

1. q/m
2. q < 0
3. m > 0
4. q > 0
5. m / q

Explanation: Algebraic manipulation is the simplest way to solve this problem. You need to add q to each side which will give inequality m > m+ 2q. Now you need to subtract from each side to get 0 > 2q and therefore the answer is (b)

8. If mn is not equal to 0 then mn - m/n / m/n =

1. mn - 12
2. mn + 9
3. m - 7
4. n + 8
5. n2 - 1

Explanation: In this problem it is significant to choose the number that makes the fraction m/n work out conveniently. Take m = 4 and n = 2 as it will make m/n = 2. Now put the values in the equation and you will find the correct option is (e)

9. If for all the actual numbers y a function g(y) is defined by g(y) = {2, y ≠ 13 4, y = 13}

Then g(15) - g(14) =

1. 54
2. 0
3. 78
4. 12
5. 89

Explanation: The equation g(y) = {2, y ≠ 13 4, y = 13} no values are given which is equal to 13, the functions will always come out to 2. g(15) - g(14) = 2 - 2 = 0, therefore the right answer is (b)

10. If j5/35 = 35, then what is the value of j

1. 23.7
2. 3.45
3. 12.6
4. 3.62
5. 21.64

Explanation: First you are required to multiply both the sides by 35 so that j5/35 = 35 becomes j5 = 625. Then take the fifth root of each side to get j alone 5√625 = 3.62, therefore the right option is (d).

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SAT Sample Quantitative Question Number : 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60 | 61-70 | 71-80 | 81-90 | 91-100 | 101-110 | 111-120 | 121-130 | 131-140 | 141-150 | 151-160 | 161-170 | 171-180 | 181-190 | 191-200 | 201-210 | 211-220 | 221-230 | 231-240 | 241-250
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