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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 71: If log 4 = 8 then p =

  1. 63
  2. 95
  3. 1.09
  4. 8.42
  5. 0.45

Answer (c)

Explanation: In the equation log 4 = 8 in exponential form, p7= 4. Now to find the value of p, you are required to take the 8th root of both the sides. You will see that p = 1.09. The correct option is (c).

Question 72: If o(e) = |e| + 10 for which of the following values of x does o(e) = o(-e)?

  1. 9e
  2. 9/5
  3. All real e
  4. 80
  5. 0.45

Answer (c)

Explanation: To start with the equation the above given statement o(e) = o(-e) when e = -10 and 10. A simple number like zero works best. o(0) = Ι0Ι + 10 = 10. You can see that o(0) = e(-0) so zero must be the part of correct answer, therefore the correct option is (c).

Question 73: If 7e + 3a = 14 and e 2a = 5, then what is the value of e?

  1. 45
  2. 8/3
  3. 45.6
  4. 78.23
  5. 2.0

Answer (e)

Explanation: When you have two equations, then you would be most likely looking at classic ETS style simultaneous equations. Adding the two equations cancels out the a term leaving you with the equation 8e = 16, so e = 3

Question 74: If u(e) = |e| + 30 for which of the following values of g does u(e) = u(-e)?

  1. 78e
  2. 23u
  3. All real e
  4. 56
  5. 12/8

Answer (c)

Explanation: To start with the equation the statement u(e) = u(-e) when u = -20 and 20. A simple number like zero works best u(0) = Ι0Ι + 30 = 30. You can see that u(0) = u(-0) so zero must be the part of correct answer, therefore (c) is the correct option.

Question 75: If e/n = 0.455, then e/n is equal to which of the following?

  1. 2:42
  2. 2.67
  3. 0.12
  4. 3.45
  5. 7.45

Answer (b)

Explanation: Make the base on both sides of the equation the same. 673 is similar as 75. So 75x = 75, which means that a = 1. Therefore the correct option would be (b)

Question 76: If 8e + 2p = 12 and y 3p = 4, then what is the value of y?

  1. 45/7
  2. 32.45
  3. 45/3
  4. 9.45
  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 8e = 16, so p = 2

Question 77: What is the slope of the line given by the equation 4q 9 = 7 2e?

  1. 8/3
  2. 2/4
  3. 23
  4. 9
  5. 0.12

Answer (b)

Explanation: To find the slope of the line without difficulty, get its equation into the form q = ec + d, where m will be the value of the slope. To express 4q 9 = 7 2m in this form, just isolate n. You will find that q = -2/4 + 4. Here the slope of the line (e) is 2/4

Question 78: If f(e) = 2e2 + 2 then what is the value of f(e + 8)?

  1. 12
  2. 36e
  3. 5/5
  4. 54f
  5. 2e2 + 16e +34

Answer (e)

Explanation: Since there are variables in the answer choices you should insert in. Try e = 3. We are trying to find f(3 + 8) = f(8) = 2(8)2 + 2 which is 100 our target number. Now insert 3 for e in the answer choices to see which answer choice goes with the target its (e)

Question 79: If the ratio of sec w to cosec w is 1:7, then the ratio of tan w to cot w is

  1. 1:16
  2. 2:45
  3. 3:45
  4. 9:15
  5. 8:43

Answer (a)

Explanation: The ratio which is given can be written in fractional form like sec p/cosec w = 1/7. The secant and cosecant can also be expressed in terms of sine and cosine. 1/cos w/1/sin w = 1/7. The cotangent is the reciprocal of the tangent so cot w = 7. Therefore, the correct answer would be (a)

Question 80: If e = 3/2 and a = 6 then a/e + 4/e2 =

  1. 124
  2. 95
  3. 9
  4. 16
  5. 2346

Answer (e)

Explanation: Insert the values given for e and a into the equation
q/e + 4/e2 =
6/2 + 4/(3/2)2 = 6/532 + 4/4/9 =
(6*2/5) + (4 * 9/4) =
18/2 + 36/4 = 8 + 8 = 16 therefore the correct answer is (d).

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