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SAT Sample Questions » Quantitative Section : Quantitative Ability

Quantitative Section : Quantitative Ability

Below we have given a few questions and answers on Multiple Choice. These questions will help you solve questions on multiple choice

1. If (m - 2) = 4m - 7, then which of the following could be the value of m?

1. 65
2. 98
3. 57.98
4. 2
5. 78

Explanation: The first equation is m - 2 = 4m - 7, which simplifies to m = 4/2 but this is not the answer. Let's look at the second equation -(m - 2) = 4m - 7. This simplifies to 2 - m = 4m - 7 that means 5m = 10 and m = 2. Therefore the answer is (d)

2. If b = 2/3 and j = 6 then j/b + 4/b2 =

1. 986
2. 57
3. 75
4. 89
5. 2346

Explanation: You have to just insert the values. Insert the values given for b and j into the equation

j/b + 4/b2 =

6/2 + 4/(2/3)2 =6/2/3 + 4/4/8 =

(6*3/2) + (4 * 8/4) =

18/2 + 36/4 = 9 + 9 = 18 therefore the correct answer is (d)

3. As an agent, Robbie receives a \$10,00 commission for each unit she sells more than 500 units, she receives an additional bonus of \$ 2,000,00. What was the total amount Robbie received in bonuses in 2011?

1. \$675
2. \$4,00,000
3. \$897
4. \$990
5. \$764

Explanation: Robbie sold more than 500 units in only 4 month in the year 2011; therefore 4 months bonus will be quiet equal to the option (b)

4. If (z - 3) = 4z - 7, then which of the following could be the value of z?

1. 876
2. 745
3. 89
4. 2
5. 78

Explanation: The first equation is z - 3 = 4z - 7, which simplifies to z = 4/3 but this is not the answer. Let's look at the second equation - (z - 3) = 4z - 7. This simplifies to 3 - z = 4z - 7 that means 5z = 10 and z = 2. Therefore the correct answer is option (d)

5. If b = cos θ and c = sin θ, then for all θ, b2 + c2 =

1. 81
2. 1
3. 89
4. 54
5. 60

Explanation: Substitute for m and c. So b2 + c2 = cos2 θ + sin 2 θ. But you should the correct identity of cos2 θ + sin 2 θ = 1. Therefore the correct option is (b)

6. If log 3 = 9 then g =

1. 8.90
2. 98
3. 1.09
4. 89.096
5. 3.098

Explanation: The equation log 3 = 9 in exponential form, g8= 3. Now you have to find the value of g, you are required to take the 9th root of both the sides. You will see that g = 1.09. The correct option is (c).

7. If 0 < b < 1 then all of the following must be true except:

1. z
2. z2
3. b < b
4. 37z
5. 54z

Explanation: First place the amount 0.5 in place of b. Now b3 = 0.25, cube root of b = 0.707, b = 0.5, - b = - 0.5, -b = -0.5, and 1/b = 2. This makes (a), (b), (d) and (e) true and (c) false.

8. Points P, O A and V are arranged in a line in the same order. If PA = 13, OF = 14 and PV = 21 then OA =

1. 987
2. 89
3. 8
4. 53
5. 25

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

9. If u = log, (mx) then wz =

1. 2m
2. wx
3. 78
4. 3w
5. 67

Explanation: If (mx) = a is a component then a that turn w into mz. You can compute the value of u = 3.0203. The only answer choice that equals to 1,034. Therefore (b) is the answer.

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

1. w
2. a < 0
3. w> 9
4. a > 0
5. 78

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

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