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CAT Sample Questions ›› Quantitative

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 31: Solve the following equation 3 (x + 2) + 5 (x + 6) = 56

  1. 5/2
  2. 4/7
  3. 6/3
  4. 9/1
  5. 2/5

Answer (a)

Explanation: 3 (x + 2) + 5 (x + 6) = 56
3x + 6 + 5x + 30 = 56
8x + 36 = 56
8x = 56 - 36
8x = 20
X = 20/8
X = 5/2 Therefore the answer is option (a)

Question 32: If v(p) = |p| + 50 for which of the following values of p does v(p) = d(-p)?

  1. 8/5
  2. 89p
  3. All real q
  4. 53
  5. 7.89

Answer (c)

Explanation: To start with the equation the statement v(p) = v(-p) when v = -50 and 50. A simple number like zero works best. v(0) = Ι0Ι + 30 = 30. You can see that v(0) = v(-0) so zero must be the part of correct answer, therefore (c) is the correct option.

Question 33: If b - 5 = 5 (1 - b), then what is the value of b?

  1. 0.33
  2. 6.784
  3. 89
  4. 15.74
  5. 63

Answer (a)

Explanation: The fraction t/p is a equal to p/t. To find the numerical value of m/t just turn the numerical value of p/t; this comes to 0.724. Your calculation will tell you that 1/0.724 = 1.6.

Question 33: The distance between the points (-5, 5) and (-5, -15) is

  1. 0.78
  2. 12
  3. 56.89
  4. 29
  5. 9/5

Answer (d)

Explanation: Notice that the coordinate a in both points is the same. So you just have to find the difference in the b coordinates. The difference is 5 - (-15) = 20

Question 34: If j/a = 0.455, then j/a is equal to which of the following?

  1. 78/5
  2. 2.67
  3. 0.124
  4. 85/4
  5. 56.741

Answer (b)

Explanation: Make the base on both sides of the equation the same. 583 is similar as 75. So 75x† = 75,which means that c = 1. Therefore the correct option would be (b)

Question 35: If h - 7 = 7 (1 - h), then what is the value of h?

  1. 0.33
  2. 78
  3. 12/5
  4. 15.741
  5. 78.965

Answer (a)

Explanation: The fraction k/p is a reciprocal of p/k. To find the numerical value of k/p, just flip the numerical value of p/k, which is 0.525. Your calculation will tell you that 1/0.525 = 0.33

Question 36: If 8g + 2t = 11 and b - 2t = 5, then what is the value of p?

  1. 67
  2. 7d
  3. 56
  4. 89
  5. 2.0

Answer (e)

Explanation: When you have two equations which is very similar in form you are probably looking at classic ETS style simultaneous equations. Adding the two equations cancels out the t term leaving you with the equation 8g = 16, so p = 2

Question 37: What is the slope of the line given by the equation 3w - 7 = 6 - 2y?

  1. 87
  2. - 2/3
  3. 45.741
  4. 36
  5. 74

Answer (b)

Explanation: To find the slope of the line without difficulty, get its equation into the form w = yc + d, where y will be the value of the slope. To express 3w - 7 = 6 - 2m in this form, just isolate n. You will find that w = -2/4 + 4. Here the slope of the line (y) is - 2/4

Question 38: If u(m) =3m2+ 2 then what is the value of u(m + 4)?

  1. 12
  2. 78
  3. 23/7
  4. 74
  5. 2x2+ 16x +34

Answer (e)

Explanation: Since there are variables in the answer choices you should insert in m = 3. We are trying to find u(3 + 4) = u(7) = 3(7)2 + 3 which is 100 our target number. Now insert 3 in for o in the answer choices to see which answer choice goes with the target its (e)

Question 39: If q = log, (qx) then yz =

  1. 45
  2. qx
  3. 54q
  4. 8/2
  5. 5

Answer (b)

Explanation: If (gx) = q is a component then d that turn p into kz. You can compute the value of q = 3.2303. The only answer choice that equals to 1,024. Therefore (b) is the answer.

Question 40: If (c - 6) = 5c - 9, then which of the following could be the value of c?

  1. 324
  2. 742
  3. 124
  4. 2
  5. 41

Answer (d)

Explanation: The first equation is c - 6 = 5c - 9, which simplifies to c = 5/3 but this is not the answer. Letís look at the second equation - (c - 6) = 4c - 9. This simplifies to 6 - c = 4c - 9 that means 6c = 10 and c = 2.

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