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SAT Sample Questions » Quantitative Section : Quantitative Ability

# Quantitative Section : Quantitative Ability

Below are a few questions on Multiple Choice. Choose the correct answer from the following questions

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

1. 32
2. 1231
3. 19
4. 2
5. 29

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

2. If d = 2/3 and e = 6 then e/d + 4/d2 =

1. 323
2. 76
3. 10
4. 12
5. 2346

Explanation: Insert the values given for d and e into the equation

e/d + 4/d2 =

6/2 + 4/(2/3)2 =6/2/3 + 4/4/9 =

(6*3/2) + (4 * 9/4) =

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

3. As an agent, Miranda receives a \$10,00 commission for each unit she sells more than 400 units, she receives an additional bonus of \$1,000,00. What was the total amount Miranda received in bonuses in 2011?

1. \$568
2. \$4,00,000
3. \$129
4. \$289
5. \$123

Explanation: Miranda sold more than 300 units in only 4 month in the year 2011; therefore, 4 months bonus will be quiet equal to the option (b).

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

1. 32.56
2. 3256
3. 15
4. 2
5. 43

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

5. If m = cos θ and n = sin θ, then for all θ, m2 + n2 =

1. 54
2. 1
3. 342
4. 1000
5. 97

Explanation: Substitute for m and n. So m2 + n2 = cos2θ + sin 2θ. But you should the correct identity of cos2θ + sin 2θ = 1. Therefore the correct option is (b).

6. If log 3 = 9 then m =

1. 6.8
2. 45.98
3. 1.09
4. 89.0
5. 1.90

Explanation: The equation log 3 = 9 in exponential form, m8= 3. Now you have to find the value of m, you are required to take the 9th root of both the sides. You will see that m = 1.09. The correct option is (c).

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

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

Explanation: First place the amount 0.5 in place of z. Now z3 = 0.25, cube root of z = 0.707, z = 0.5, - z = - 0.5, -z = -0.5, and 1/z = 2. This makes A B D and E true and (c) is false.

8. Points I, J L and F are arranged in a line in the same order. If IL = 13, JF = 14 and IF = 21 then JL =

1. 34.21
2. 342
3. 8
4. 56
5. 97

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 c = log, (jx) then zz =

1. cj
2. yx
3. 56
4. jz
5. 34

Explanation: If (jx) = c is a component then c will turn into z and it will turn into jz you can compute the value of c = 3.0203. The only answer choice that equals to 1,034. Therefore (b) is the answer.

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

1. t
2. r < 0
3. t > 9
4. r > 0
5. tr

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

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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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