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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 241

Simplify the following equation

(569 + 174)2 – (469 – 174)2

(569 * 174)

1. 4
2. 14
3. 2
4. 16
5. 12

Explanation:

= (569 + 174)2 – (469 – 174)2

(569 * 174)

=  (x + y)2 – (x – y)2

xy

= (x2 + 2xy + y2) – (x2 -2xy + y2)

ab

= 2xy + 2xy

xy

= 4xy/xy = 4 where x = 569 y = 174. Therefore the correct option is (a)

Question 242

If 7e + 2b = 11 and e – 2b = 5, then what is the value of e?

1. –47
2. 12
3. 45
4. 3
5. 2.0

Explanation: When you are given two equations extremely similar in form you are probably looking at classic ETS style simultaneous equations. Adding the two equations cancels out the b term leaving you with the equation 8e = 16, so e = 2

Question 243

If h(y) = y2 – 3y, then h(-3) =

1. 8
2. 0.14
3. 14
4. 45
5. 18.0

Explanation: Plug – 3 into the function: (-3)2 – 3 (-3) = 18

Question 244

If e varies directly as n and e/n = 5, then what is the value of e when n = 2.2?

1. 4
2. 25
3. 60
4. 78
5. 11.00

Explanation: Direct variation between two quantities means that they always have the same quotient. In this case, it means that e/n must always be equal to 5. To find the value of e when n = 2.2, set up the equation e/2.2 = 5 and solve for e. You will find that e = 11

Question 245

(e3)6 * (e4)5/e2 =

1.    m9
2. j45
3.    f14
4. e36
5. p23

Explanation: A quick review of exponent rules. When raising powers to powers; multiply exponents. When multiplying powers of the same base add exponents and when dividing powers of the same base, subtract exponents. For this problem you have to do all three.

(e3)6 * (e4)5/e2 = e18 * e20/e2 = e38/e2 = e36

Question 246

If k(z) = 5 – 2x and r (z) = z2 + 7, then k (r(2)) =

1. – 17
2. 12
3. 14
4. 16
5. 18

Explanation: Work from the inside out, r(2) = 22 + 7 = 11. Now place 11 for z k(11) = 5 – 2 (11) = - 17

Question 247

If the perimeter of a square is 80, what is the area of the square?

1.    235
2. 987
3.    136
4. 148
5. 324

Explanation: The sides of the square are the same. So each side must be 18. Since the area of a square is side 2, therefore it is (18)2 = 324.

Question 248

Where defined, {p2 – 4/4} {8/2p + 4} =

1. 45p
2. 15p
3. p – 2
4. p + 18
5. 67p

Explanation: You can just factor this one and then cancel

{p2 – 4/4} {8/2p + 4} = {(p + 2) (p – 2)/4} {2 * 4/2(p + 2)} = p – 2

Question 249

Which of the following has the greatest value?

1. 9400
2. 90600
3. 1.98
4. 6
5. 8

Explanation: One important fact about this remarkable question is that it is not necessary to find the accurate value of the expression. You have to rearrange as many answer choices as possible so that they possess the exponents of 100. Take a close look on each an expression 90600, 6, 8, 1.98, 9400.It will make clear that (a) is bigger than (c), therefore the answer is (a)

Question 250

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

2a= 6 – e?

1. 1.12
2. 0.45
3. 6.71
4. 124
5. 2.83

Explanation: To find the a–intercept just make e = 0 and solve for a. a= 3. Now to find the e intercept, make a = 0 and solve for e. 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).

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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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