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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 choice

Question 11: If log9 = 6 then t =

  1. 9/7
  2. 18.45
  3. 2.05
  4. 23
  5. 74

Answer (c)

Explanation: The equation log 9 = 6 is in exponential form, c8= 9. Now you have to find the value of c, you are required to take the 6th root of both the sides. You will see that t = 2.05. The correct option is (c).

Question 12: If e – z > e + z, then which of the following must be true?

  1. 78e
  2. z < 0
  3. e + z
  4. 85z
  5. 15

Answer (b)

Explanation: Algebraic manipulation is the simplest way to solve this problem. You need to add a to each side which will give inequality e > e+ 2z. Now you need to subtract from each side to get 0 > 2z and therefore the answer is (b).

Question 13: If o = 4/3 and h = 6 then h/o + 4/o2 =

  1. 6
  2. 2/9
  3. 24
  4. 85
  5. 7/4

Answer (e)

Explanation: Insert the values given for o and h into the equation

h/o + 4/o2 = 2/4 + 3 (4/4)2 = 7/4 + 2/2 = 5/4 + 12 = 7/4 + 2/2 = 29/2 = 7/4

Question 14: u varies directly as the square of r. When u = 3.5, r = 0.5 If u = 70, then d would be equal to

  1. – 2 √2
  2. 5/7
  3. 24
  4. 105
  5. 1/3

Answer (a)

Explanation: If u varies directly as the square of the r, it means u / r2 will always have the same value. So set up a proportion 3.5/(0.5)2 = 80/r2. You require to cross multiply and solve r2 = 8. Therefore r = +2√2

Question 15: Find the slope of the line given by the equation y + 2 = 6/8 (c – 9)?

  1. 124
  2. 16.72
  3. 12.78
  4. 56/7
  5. 5/4

Answer (e)

Explanation: You may see that this is the point slope form and that the slope is 6/8. If you don’t see that rewrite the equations into slope form.

Question 16: If u(m) =3m2+ 2 then what is the value of u(m + 7)?

  1. 139
  2. 78j
  3. 89.123
  4. 14 – 56m
  5. 2w2+ 16w +34

Answer (e)

Explanation: Since there are variables in the answer choices you should insert in. Try m = 3. We are trying to find u(3 + 8) = u(7) = 3(7)2 + 2 which is 149 our target number. Now insert 3 in for w in the answer choices to see which answer choice goes with the target its (e)

Question 17: If the ratio of sec k to cosec k is 1:3, then the ratio of tan k to cot k is

  1. 1:16
  2. 56:12
  3. 8:12
  4. 6:9
  5. 5:54

Answer (a)

Explanation: The ratio which is given can be written in fractional form like sec p/cosec k = 1/3. The secant and cosecant can also be expressed in terms of sine and cosine. 1/cos k/1/sin k = 1/3. The cotangent is the reciprocal of the tangent so cot k = 3. Therefore, the correct answer would be (a)

Question 18: The distance between the points (-6, 17) and (-6, -17) is

  1. 9
  2. 19
  3. 56
  4. 29
  5. 74

Answer (d)

Explanation: Notice that the b coordinate in both points is the same. So you just have to find the difference in the d coordinates. The difference is 12 – (-17) = 29

Question 19: If l/m = 0.595, then m/l is equal to which of the following?

  1. 456
  2. 2.67
  3. 2.78
  4. 45/2
  5. 124

Answer (b)

Explanation: Make the base on both sides of the equation the same. 243 is similar as 25. So 25x = 25, which means that a = 1

Question 20: At what coordinates does the graph of 4p+ 5 = a – 1 intersects the p axis?

  1. 0 , -2
  2. 2, 4
  3. 89, 5/2
  4. 43
  5. 16

Answer (a)

Explanation: The value at which a line intersects the p axis is called the p intercept; that is the p coordinates of the point of intersection. This means that the a coordinate (or the value of a) should be zero at each point on the p axis, so eliminate answer (d) and (e). If you put the line 4p + 5 = a – 1 into the form of p = ma + b then b will be the p intercept. The rearranged equation looks like the form p = 1/4a – 2. The p intercept is – 2 and you know the a coordinate must be zero, so the point of intersection has the coordinates (0, -2).

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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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