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SAT Sample Questions » Quantitative Section : Quantitative Ability

# Quantitative Section : Quantitative Ability

Given below are a few important questions on Multiple Choices with answers and explanation. Select the right answer from the following questions.

1. If c = 5/3 and m = 6 then m/c + 4/c2 =

1. 1200
2. 87
3. 2
4. 56
5. 2346

Explanation: Insert the values given for c and m into the equation

m/c + 4/c2 =

7/2 + 4/(5/3)2 =7/5/3 + 4/4/9 =

(7*3/2) + (4 * 9/4) =

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

2. If (v - 5) = 4v - 8, then which of the following could be the value of v?

1. 23/41
2. 12v
3. 45v
4. 3
5. 1.754

Explanation: The first equation is v - 5 = 4v - 8, which simplifies to v = 4/5 but this is not the answer. Let us look at the second equation - (v - 5) = 4v - 8. This simplifies to 5 - v = 4v - 8 that means 5v = 10 and s = 3.

3. If (e - 6) = 4e - 7, then which of the following could be the value of e?

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

Explanation: The first equation is e - 6 = 4e - 7, which simplifies to e = 4/3 but this is not the answer. Let's look at the second equation - (e - 6) = 4e - 7. This simplifies to 6 - e = 4e - 7 that means 5e = 10 and e = 2.

4. If p = cos θ and a = sin θ, then for all θ, p3 + a3 =

1. 1.456
2. 1
3. 12/23
4. 20/10
5. 36

Explanation: Substitute for m and n. So p3 + a3 = cos3θ + sin 3θ. But you should the correct identity of cos3θ + sin 3θ = 1. Therefore the correct option is (b).

5. If n = log, (rx) then kz =

1. 23k
2. yx
3. 87/2
4. 45r
5. 146

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

6. z varies directly as the square of c. When z = 3.5, c = 0.5 If z = 80, then c would be equal to

1. - 2 √2
2. 15/74
3. -12.56
4. 148
5. 23

Explanation: If z varies directly as the square of the c, it means z /c2 will always have the same value. So set up a proportion 3.5/(0.5)2 = 80/c2. You require to cross multiply and solve c2 = 8. Therefore c = +2√2

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

1. d - m
2. m < 8
3. d3
4. 15.24
5. 83.41

Explanation: Algebraic manipulation is the simplest way to answer this problem. You require to add to each side which will give inequality d > d + 2m. Now you are required to subtract from each side to get 0 > 2m and you will find your answer is (b).

8. Which of the following has the maximum value?

1. 800500
2. 45100
3. 2.728
4. 14
5. 18

Explanation: The major fact about this question is that it is not essential to find the right value of the expression. You need to rearrange as many answer options as possible so that they have the examples of 100. Take a close look on every expression 800500, 18, 14, 2.728, 45100. It will make clear that (a) is bigger than (c), therefore the answer is (a)

9. How many different three digit numbers comprise only non-zero numbers?

1. 432
2. 78
3. 325
4. 739
5. 74/2

Explanation: If there is a three digit number and it has  0, then there are in fact nine possibilities for the first numbers from 1 to 9, 9 possibilities for the 2nd numbers from 1 to 9, 9th possibilities for the third number from 1 to 9. This comes to the total of 9*9*9 possible 3 digit numbers therefore the right answer is 739.

10. If z = cos θ and q = sin θ, then for all θ, z2 + q2 =

1. 12
2. 1
3. 78/12
4. 36
5. 18

Explanation: Substitute for x and y. So z2 + q2 = cos2θ + sin 2θ. But you should the correct identity of cos2θ+ sin 2θ= 1. Therefore the option is (b).

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