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SAT Sample Questions » Quantitative Section : Quantitative Ability

# Quantitative Section : Quantitative Ability

Below are the few important questions on Multiple Choices with answers and explanations. Choose the right answer from the following questions.

1. If z(j) =2j2+ 2 then what is the value of z(j + 5)?

1. 78p2+8
2. 71p2 + 8
3. 10p2+ m +5
4. 14p2+ 5 +87
5. 2j2+ 16j +34

Explanation: Since there are variables in the answer choices you should insert in. Try j = 3. We are trying to find z(3 + 5) = z(8) = 2(8)2 + 2 which is 100 our target number. Now insert 3 in for j in the answer choices to see which answer choice goes with the target its (e)

2. How many different three digit number contain only non-zero digit?

1. 7841
2. 701
3. 521
4. 729
5. 124

Explanation: In a three digit numeral containing no 0. There are nine possibilities for the first number from 1 to 9, 9 possibilities for the 2nd numeral 1 to 9, 9th possibilities for the third number 1 to 9. This makes the total of 9*9*9 possible 3 numeral numbers, therefore the correct option would be (d)

3. If e(r) = 3√x and p(r) = ½ √r + 1, then e(p(5.3)) =

1. 12.78
2. 1.2
3. 2.1
4. 5.6
5. 9.14

This is a compound question, in which you are required to apply two functions in combination. You require to place the numbers 5 and 3 in place of r is the definition of p(r) p(5,3) = ½ √5.3 is equal to e(1.76), which can easily be solved by e(1.76) = 2√1.76 = 1.21. The correct option is (b).

4. If u mod z is the remainder when u is divided by z, then (81 mod 7) - (9 mod 9) =

1. 78
2. 9
3. 12
4. 5
5. 78/2

Explanation: To find the value of z and u just take the number as the u position and divide it by the number in z position. The remainder is the value of u and z of those numbers. The value of 81 and 7 is 9. The expression (81 mod 7) - (9 mod 9) can be rewritten as 9 - 0 which equals 9. Therefore the correct answer is (d).

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

1. 1:16
2. 7:78
3. 56.7
4. 1:76
5. 5:25

Explanation: The ratio which is given can be written in fractional form like sec p/cosec p = ¼. The secant and cosecant can also be expressed in terms of sine and cosine. 1/cos p/1/sin p = ¼. The cotangent is the reciprocal of the tangent so cot p = 4. Therefore the correct answer would be (a)

6. If e/f = 0.595, then f/e is equal to which of the following?

1. 78/1
2. 2.67
3. 418
4. 32.5
5. 9/6

Explanation: Make the base on together sides of the equation the same. 243 is alike as 45. So 45x  = 45, which means that p = 1

7. If l - 7 = 7 (1 - l), then what is the value of l?

1. 0.33
2. 4.78
3. 87/2
4. 3.78
5. 0.45

Explanation: The fraction w/v is an equal to v/w. To find the numerical value of w/a just turn the numerical value of v/w; this comes to 0.735. Your calculation will tell you that 1/0.735 = 0.33.

8. The distance between the points (-8, 9) and (-8, -14) is

1. 82
2. 7.45
3. 8/5
4. 23
5. 41

Explanation: Notice that the b coordinate in both points is the same. So you just have to find the difference in the d coordinates. The difference is 9 - (-14) = 23

9. If p - 4 = 4 (1 - p), then what is the value of p?

1. 0.33
2. 0.85
3. 1.40
4. 5.45
5. 9.41

Explanation: The fraction t/s is a reciprocal of a/t. To find the numerical value of t/s, just reverse the numerical value of s/t, which is 0.625. Your calculation will tell you that 1/0.625 = 0.33.

10. h varies directly as the square of k. When h = 3.2, k = 0.7 If h = 80, then k would be equal to

1. - 2 √2
2. 56/5
3. 78.2
4. 4.5
5. 21

Explanation: If h varies directly as the square of the k, it means h / k2 will always have the same value. So set up a proportion 3.2/(0.7)2 = 80/k2. You require to cross multiply and solve k2 = 8. Therefore k = +2√2

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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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