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SAT Sample Questions » Quantitative Section : Quantitative Ability

# Quantitative Section : Quantitative Ability

Below are the few important questions on multiple choice with answers and explanation.

1. Seven blue marbles and six red marbles are held in a single container. Marbles are randomly selected one at a time and not returned to the container. If the first two marbles selected are blue, what is the probability that at least two red marbles will be chosen in the next three selections?

1. 8/45
2. 7/13
3. 45/100
4. 19/33
5. 78/5

Explanation: As you know the probability of every outcome that produces at least two red marbles in three drawings. To find the total overall probability adds up all of the individual probabilities.

5/33 + 5/33 + 5/33 + 4/33 = 19/33

Therefore the correct option would be option (d).

2. Y varies directly as the square of x. When y = 2.5, x = 0.5 If y = 80, then x would be equal to

1. - 2 √2
2. - 85
3. -45
4. - 12
5. - 56

Explanation: If y varies directly as the square of the x, it means y / x2 will always have the same value. So set up a proportion 2.5/(0.5)2 = 80/x2. You require to cross multiply and solve x2 = 8. Therefore x = +2√2

3. If v - h > v + h, then which of the following must be true?

1. V - h
2. h < 8
3. h - 1
4. 45/8
5. 76/9

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

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

1. Q = t
2. t < q
3. 56 > 0
4. 37 > 9
5. rt

Explanation: You have to add 0 to each side which will give dissimilarity t > t+ 2q. Now you have to subtract from each side to get 0 > 2q and therefore the answer is (b)

5. Which of the following has the greatest value?

1. 500500
2. 90100
3. 1.528
4. 25
5. 70

Explanation: The significant fact about this question is that it is not necessary to find the correct value of the expression. You require rearranging as many answer choices as possible so that they have the exponents of 100. Take a close glance on each of the expression 500500, 25, 70, 1.528, 90100. It will make clear that (a) is bigger than (c), therefore the answer is (a)

6. What is the distance between the w intercept and the z intercept of the line given by the equation?

2z = 6 - w?

1. 7.56
2. 3.78
3. 5.81
4. 2.79
5. 3.56

Explanation: To find the z - intercept just make w = 0 and solve for z. z= 3. Now to find the w intercept, make z = 0 and solve for w. You will see that they form a right angle triangle with length of 3 and 6, in which the hypotenuse represents the distance in between the two distinct points. You are required to used Pythagoras theorem to find the length of the hypotenuse, which will be equal to 5.8156 approximately; therefore the answer is (c).

7. How many dissimilar three digit numbers include only non-zero numbers?

1. 432
2. 78
3. 325
4. 729
5. 867

Explanation: If there is a three digit no and it has the no 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 729.

8. After 5:00 am ride in a bus costs \$1.60 plus \$0.50 for every sixth of a mile traveled. If the traveler travels x miles then what is the price of the trip, in dollars, in terms of x?

1. 456x
2. 2.5 + 1.5x
3. 4678x
4. 45 + 232x
5. 321 + 45x

Explanation: Suppose that you are travelling 6 miles (x = 6). To find the right answer place 5 in place of x and see which one gives you value of 9 and you will find the correct answer would be option (b).

9. If x = cos θ and y = sin θ, then for all θ, x2 + y2 =

1. 456
2. 1
3. 32
4. 21
5. 0

Explanation: Substitute for x and y. So x2 + y2 = cos2θ + sin 2θ. But you should the correct identity of cos2θ+ sin 2θ= 1. Therefore the option is (b).

10. Find the slope of the line given by the equation

b + 3 = 5/4 (a - 7)?

1. 45/2
2. 32/5
3. 33/5
4. 21/9
5. 5/4

Explanation: You may see that this is the point slope form and that the slope is 5/4. If you don't see that rewrite the equations into slope form.

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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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