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CAT Sample Questions ›› Quantitative

Quantitative Section : Quantitative Ability

Below we have given a few questions and answers on Multiple Choice. These questions will help you solve questions on multiple choices

Question 151

If (9z - 6) = 6b - 4, then which of the following could be the value of b?

  1. 3/2
  2. 7/18
  3. 7/3
  4. 2/3
  5. 8/3

Answer (d)

Explanation: 9b - 6 = 6b - 4
9b - 6b = - 4 + 6
3b = 2
B = 2/3 Therefore the correct answer is option (d)

Question 152

Simplify the equation: {a2 - 8/4} {26 + 2 } = {(a + 6) (a - 8) 8/2} {2 * 4/2 (a + 2)}

  1. 2/5
  2. 5/19
  3. 102
  4. 96
  5. 23

Answer (b)

Explanation: {a2 - 8/4} {26 + 2} = {(a + 6) (a - 8) 8/2} {2 * 4/2 (a + 2)}
= {a2 - 2} {13 + 2} = {a(6 - 8) 4} {4 (a + 2)}
= -2 * 15 = a(-2 * 4) (4 + 8)
= - 30 = - 96a
= a = 5/19
Therefore the correct option is (b)

Question 153

If u < v < 1 then all of the following must be true except:

  1. z
  2. z2
  3. b < b
  4. 37z
  5. 54z

Answer (c)

Explanation: First place the amount 0.5 in place of v. Now v3 = 0.25, cube root of v = 0.707, v = 0.5, - v = - 0.5, -v = -0.5, and 1/v = 2. This makes (a), (b), (d) and (e) true and (c) false.

Question 154

If p(e) = |e| + 10 for which of the following values of x does p(e) = p(-e)?

  1. 5 2
  2. 9/5
  3. All real e
  4. 20 except e
  5. 2e

Answer (c)

Explanation: To start with the equation the above given statement p(e) = p(-e) when e = -10 and 10. A simple number like zero works best. p(0) = ?0? + 10 = 10. You can see that p(0) = g(-0) so zero must be the part of correct answer, therefore (c) is the correct option.

Question 155

If z/u = 0.455, then z/u is equal to which of the following?

  1. 0.45
  2. 2.67
  3. 1.02
  4. 9.14
  5. 3.15

Answer (b)

Explanation: Make the base on both sides of the equation the same. 3125 is similar as 55. So 55x = 55, which means that a = 1. Therefore the correct option would be (b)

Question 156

The distance between the points (-6, 9) and (-6, -18) is

  1. 25
  2. 18
  3. 74
  4. 27
  5. 30

Answer (d)

Explanation: Notice that a coordinate in both points is the same. So you just have to find the difference in the b coordinates. The difference is 9 - (-18) = 27

Question 157

If n(x) = x2 - 10x, then n(-10) =

  1. 0
  2. 2.3
  3. 9.0
  4. 5.9
  5. 20.0

Answer (e)

Explanation: Plug - 10 into the function: n(-10) = - 10 2 - 10x * -10
-10n = 200
n = 200/10
n = 20
Therefore the correct option is (e)

Question 158

If 8a + 4b = 11 and 2a + 4g = 5. The value of b = 2. You need to find the value of a and g.

  1. - 5.0
  2. - 8.5
  3. - 0.8
  4. 5.12
  5. A = 3/8 and g = 1.06

Answer (e)

Explanation: Put the value of b in the equation 8a + 4b = 11

8a + 4*2 = 11
8a + 8 = 11
8a = 11 - 8
8a = 3
a = 3/8

Now put the value of a in the equation 2a - 4g = 5
2 * 3/8 - 4g = 5

-††††††††† 4g = 17/4
-††††††††† 4g = 4.25
-††††††††† g = 4.25/4
-††††††††† g = 1.06
-††††††††† Therefore the correct option is (e)

Question 159

What is the slope of the line given by the equation 4g - 5 = 7 - 2e?

  1. --74
  2. - 2/3
  3. 12
  4. 5
  5. 15

Answer (b)

Explanation: To find the slope of the line without difficulty, get its equation into the form g = ex + y, where m will be the value of the slope. To express 4g - 5 = 7 - 2m in this form, just isolate g. You will find that g = -2/4 + 4. Here the slope of the line (g) is - 2/3

Question 160

If sin a = z and 0 < a < 90 than tan a =

  1. 124
  2. z/√1 - z2
  3. 56z
  4. 8 - z
  5. 23

Answer (b)

Explanation: Take a = 300. Therefore sin 300 = 0.5 = z tan 300 = 0.577. Now place 0.5 in the place of z and you will see the correct option is (b)

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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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