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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 101

What is the slope of the line given by the equation 3p – 5 = 5 – 2k?

  1. – 5
  2. – 2/3
  3. 3/13
  4. 67
  5. 34

Answer (b)

Explanation: To find the slope of the line simply, get its equation into the form y = pk + b, where k will be the value of the slope. To find 3p – 5 = 5 – 2k in this form, just take away y. You will find that p = -2/3 + 4. Therefore the answer is (b).

Question 102

If v(n) = |n| + 40 for which of the following values of p does v(n) = v(-n)?

  1. vn
  2. 3n
  3. All real n
  4. 12/45
  5. 5v

Answer (c)

Explanation: To start with the equation the statement v(n) = v(-n) when v = -40 and 40. A simple number like zero works best. v(0) = Ι0Ι + 40 = 40. You can see that v(0) = v(-0) so zero must be the part of correct answer, therefore (c) is the correct option.

Question 103

If (s + k)2 = 15 and sk = 5 then s2 + k2 =

  1. 28
  2. 26
  3. 15
  4. 63
  5. 5

Answer (e)

Explanation: (s + k) 2 = 15
(s + k) (s = k) = 15
s2+ 2sk + k2 = 15
Since sb = 5
s2 2(5) + k2 = 15
s2 + 10 + k2 = 15
s2 + k2 = 5 Therefore the correct option is (e)

Question 104

If s – e > s + e, then which of the following must be true?

  1. e < 8
  2. 75e
  3. 10
  4. 4/8
  5. 32

Answer (a)

Explanation: Algebraic manipulation is the simplest way to answer this problem. You are required to add s to each side, which will give inequality s> s + 2e. Now you have  to subtract e each side to get 0 > 2e and you will find your answer is (b).

Question 105

Find the slope of the line given by the equation

k + 3 = 9/2 (p – 7)?

  1. 897
  2. 23
  3. 0.15
  4. 15
  5. 5/4

Answer (e)

Explanation: You may see that this is the point slope form and that the slope is 9/2. If you don’t see that rewrite the equations into slope form.

 

Question 106

If the ratio of sec z to cosec z is 1:8, then the ratio of tan z to cot z is

  1. 1:16
  2. 8:45
  3. 4:15
  4. 0:15
  5. 8:16

Answer (a)

Explanation: The ratio which is given can be written in fractional form like sec p/cosec z = 1/8. The secant and cosecant can also be expressed in terms of sine and cosine. 1/cos z/1/sin z = 1/8. The cotangent is the reciprocal of the tangent so cot z = 8. Therefore, the correct answer would be (a)

 

Question 107

If r = 5/2 and s = 6 then sr + 4/r2 =

  1. 8
  2. 6
  3. 28
  4. 18
  5. 10

Answer (e)

Explanation: Insert the values given for r and s into the equation
s/r + 4/r2 =
6/2 + 4/(5/2)2 = 6/5/2 + 4/4/9 =
(6*2/5) + (4 * 9/4) =
16/2 + 36/4 = 9 + 9 = 18 therefore the correct answer is (d).

Question 108

If y – 9 = 9 (1 – y), then what is the value of y?

  1. 0.33
  2. 52
  3. 17
  4. 9/5
  5. 10

Answer (a)

Explanation: The fraction x/a is a equal to n/x. To find the numerical value of x/a just turn the numerical value of a/x; this comes to 0.724. Your calculation will tell you that 1/0.724 = 0.33.

Question 109

If 9e + 2k = 11 and u – 3k = 4, then what is the value of u?

  1. 124
  2. 98
  3. 78
  4. 89
  5. 2.0

Answer (e)

Explanation: When you have two equations which are 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 u = 2

Question 110

If p(q) = |q| + 40 for which of the following values of q does p(q) = p(-q)?

  1. 52p
  2. 84p
  3. All real q
  4. 89
  5. 16

Answer (c)

Explanation: To start with the equation the statement p(q) = p(-q) when p = -40 and 40. A simple number like zero works best. p(0) = Ι0Ι + 40 = 40. You can see that p(0) = p(-0) so zero must be the part of correct answer, therefore (c) is the correct option.

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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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