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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 81: If 7b + 2e = 14 and y – 3e = 4, then what is the value of y?

  1. 562
  2. 96
  3. 45/3
  4. 9/5
  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 d term leaving you with the equation 7b = 16, so e = 2

Question 82: If q(c) =2c2 + 2 then what is the value of q(c + 9)?

  1. 16
  2. 9:5
  3. 8:5
  4. 4/5
  5. 2c2 + 16c +34

Answer (e)

Explanation: Since there are variables in the answer choices you should insert  c = 3. We are trying to find q(3 + 9) = q(9) = 2(9)2 + 2 which is 100 our target number. Now insert 3 in for e in the answer choices to see which answer choice goes with the target its (e)

Question 83: Solve the following equation 3s + 5 = s – 1

  1. 63
  2. – 3
  3. -56
  4. 62
  5. 10

Answer (b)

Explanation: 3s+ 5 = s – 1
3s – s = - 5 – 1
2s = - 6
s = -6/2
s = - 3

Question 84: If 0 < s < 3 then all of the following must be true except:

  1. 85s
  2. 16
  3. s < s
  4. 12
  5. 96

Answer (c)

Explanation: Plug in 0.5 for n. Now s2 = 0.25, square root of s = 0.707, s = 0.4, - s = - 0.4, -s = -0.4, and 1/s = 2. This makes (a), (b), (d) and (e) true and (c)  false.

Question 85: If s = cos Θ and l = sin Θ, then for all Θ, s2 + c2 =

  1. 36
  2. 1
  3. 25
  4. 0.52
  5. 9

Answer (b)

Explanation: Substitute for x and y. So s2 + c2 = cos2Θ + sin 2Θ. But you should the correct identity of cos2Θ + sin 2Θ= 1. Therefore the correct option is (b).

Question 86: Points R, S T and U are arranged in a line in the same order. If RT = 11, SU = 14 and RU = 20 then ST =

  1. 10
  2. 5
  3. 8
  4. 5/6
  5. 92

Answer (c)

Explanation: To solve the problem algebraically isolate x one step at a time. First multiply through by 3 on the right, y – 3 = 3 – 3y. Next add 3x to each side and then add 3 to each side to get 4y = 6. Divide each side by 4 to get y = 6/4 or 1.5

Question 87: The distance between the points (-4, 5) and (-4, -15) is

  1. 53
  2. 85
  3. -20
  4. 20
  5. 85

Answer (d)

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

Question 88: If 7s + 2e = 14 and s – 2e = 5, then what is the value of s?

  1. 3.42
  2. 89.52
  3. 6.45
  4. 85
  5. 2.0

Answer (e)

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 e term leaving you with the equation 8s = 16, so s = 2

Question 89: If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?

  1. 9.75
  2. 32.45
  3. 9.6
  4. 0.45
  5. 11

Answer (e)

Explanation: Direct variation between two quantities means that they always have the same quotient. In this case, it means that s/e must always be equal to 6. To find the value of s when e = 2.2, set up the equation s/2.2 = 6 and solve for s. You will find that s = 11

Question 90

Where defined, {s2 – 4/4} {8/2s + 4} =

  1. 9
  2. 4s
  3. s – 2
  4. s + 7
  5. 3s

Answer (c)

Explanation: You can  factor this one and then cancel

{s2 – 4/4} {8/2s + 4} = {(s + 2) (s – 2)/4} {2 * 4/2(s + 2)} = s - 2

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