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# 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.

Question 91

If l(s) = 3s2 + 3s + 3, which of the following is equal to l(-3.5)?

1. L7
2. 84
3. l(2.5)
4. 78l
5. s/l

Explanation: You require a graphing calculator, you need to press the Y key and enter the function. You will check the value of the Table you can find that l(-3.5) and l(2.5) both are equal to 39. But if you do not possess graphing calculator, you can make the use of PITA.

Question 92

Which of the following has the greatest value?

1. 3500
2. 6.0600
3. 2.198
4. 2
5. 18

Explanation: The important fact about this interesting question is that it not essential to find the accurate value of the expression. You need to rearrange as many answer choices as possible so that they possess the exponents of 100. Take a close look on each an expression 6.0600, 2, 18, 2.198, 3500.It will make clear that (a) is bigger than (c), therefore the answer is (a)

Question 93

Which of the following represent the solution set of Ιj3 - 8Ι ≤ 5?

1. 9.45 ≤ j ≤ 2.45
2. 9.45  ≤ j ≤ 0.12
3. 78 ≤ j ≤ 1.56
4. 1.44 ≤ j ≤ 2.35
5. 89j

Explanation: In this problem choose a simple number that is in some, but not all of the ranges in the answer choices. Assume that j = 1 this gives you [(1)3 - 8] ≤ 6, which means 7 ≤ 6, but this is not correct. Remove any answer choice that includes one. Now use j = 2, this comes to [(2)2 - 8] ≤ 6, which simplifies to 0 ≤ 5, therefore the answer is (d)

Question 94

What is the distance between the s intercept and the e intercept of the line given by the equation

2e = 6 – s?

1. 3.74
2. 0.45
3. 6.71
4. 45
5. 2.74

Explanation: To find the e – intercept just make s = 0 and solve for e. e= 3. Now to find the s intercept, make e = 0 and solve for s. 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 6.7156 approximately; therefore the answer is (c).

Question 95

If 0 < s < 1 then all of the following must be true except:

1. 12
2. 85
3. s < s
4. 15
5. 17

Explanation: Apply 0.5 in place of q and try to solve the equation. Now s2 = 0.25, square root of s = 0.707, s = 0.5, - s = - 0.5, -s = -0.5, and 1/s = 2. This makes (a), (b), (d) and (e) true; therefore (c)  false.

Question 96

If t – 5 = 5 (2 – t), then what is the value of t?

1. 1.6
2. 65
3. 12.32
4. 0.45
5. 96

Explanation: The fraction s/c is a reciprocal of c/s. To find the numerical value of s/c, just change the numerical value of c/s, which comes to 0.625. Your calculation will tell you that 1/0.625 = 1.6.

Question 97

What is the slope of the line given by the equation

f = 3 = 7/8(g – 7)?

1. 25
2. 3/8
3. 2.45
4. 2/4
5. 8/6

Explanation: You might observe that this is the point slope form and that the slope is 7/8, if you are still not clear you can rewrite the equation into the slope intercept form.

Question 98

At what coordinates does the graph of 3k+ 5 = u – 1 intersects the k axis?

1. (0, -2)
2. (2, 5)
3. (5, 23)
4. (-9, 45)
5. (3, 2)

Explanation: The value at which a line intersects the y axis is called the k intercept; that is the k-coordinate of the point of intersection. This means that the u coordinate (or the value of u) should be zero at each point on the k axis, so eliminate answer (d) and (e). If you put the line 3k + 5 = u – 1 into the form of y = mu + b then b will be the k intercept. The rearranged equation looks like the form k = 1/3u – 2. The k intercept is – 2 and you know the u coordinate must be zero, so the point of intersection has the coordinates (0, -2)

Question 99

How many distinct three digit number contain only nonzero digit?

1. 964
2. 324
3. 133
4. 729
5. 854

Explanation: In a three digit number containing  0. There are nine possibilities for the first digit 1 to 9, 9 possibilities for the 2nd digit 1 to 9, 9th possibilities for the third digit 1 to 9. This makes the total of 9*9*9 possible 3 digit numbers or 729

Question 100

If e = log, (sx) then bz =

1. 23
2. 45b
3. yb
4. 74
5. b

Explanation: If (sx) = e is a component then z that turn b into sz. You can compute the value of e = 3.0103. The only answer choice that equals to 1,024. Therefore (b) is the answer.

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CAT Sample Quantitative Ability Question Number : 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60 | 61-70 | 71-80 | 81-90 | 91-100 | 101-110 | 11-120 | 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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