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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 141: If 6g - 8 = 4g - 6, then which of the following could be the value of g?

  1. 15
  2. 32
  3. 14
  4. 1
  5. 2

Answer (d)

Explanation: 6g - 8 = 4g - 6
= 6g - 4g = -6 + 8
= 2g = 2
= g = 1
Therefore the answer is (d)

Question 142: What is the distance between the c intercept and the r intercept of the line given by the equation?

2r = 6 - f?

  1. 564
  2. 159
  3. 6.71
  4. 5.64
  5. 12

Answer (c)

Explanation: To find the value r you have to intercept and make f = 0 and solve for r. r= 3. Now to find the c intercept, make r = 0 and solve for f. You will see that they form a right angle triangle with the length of 3 and 6, in which the hypotenuse stands for the distance in between the two different points. You are required to use the Pythagoras theorem to find the length of the hypotenuse, which will be equal to 6.7156 approximately; therefore the answer is (c).

Question 143: If l = log, (ux) then bz =

  1. 46
  2. lx
  3. 14
  4. 12
  5. 23u

Answer (b)

Explanation: If (ux) = l (which is a component) you can calculate the value of l = 3.0203. The only answer choice that equals to 1,034. Therefore (b) is the answer.

Question 144: If e/d = 0.625, then d/e is equal to which of the following?

  1. 63
  2. 2.67
  3. 0.125
  4. 954
  5. 0.45

Answer (b)

Explanation: Make the base on both sides of the equation the same. 8 is similar as 23. So 23x  = 23,which means that h = 1

Question 145: How many different three digit numbers include only non-zero digit?

  1. 623
  2. 777
  3. 102
  4. 729
  5. 623

Answer (d)

Explanation: In a three digit number containing no 0, there are actually nine possibilities for the first digit from 1 to 9, 9 possibilities for the 2nd digit from 1 to 9, 9 possibilities for the third digit from 1 to 9. This makes the total of 9*9*9 possible 3 digit numbers or the option (d) that is 729.

Question 146: The distance between the points (-3, 4) and (-3, -16) is

  1. 7/5
  2. 25
  3. 125
  4. 20
  5. 65

Answer (d)

Explanation: Notice that the b coordinate in both points is the same. So you just have to find the difference in the coordinates. The difference is 4 - (-16) = 20

Question 147: Points H, J P and K are arranged in a line in the same order. If HP = 13, JK = 14 and HK = 21 then JP =

  1. 43
  2. 9
  3. 8
  4. 89
  5. 4

Answer (c)

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

Question 148: If the cube root of the square root of a number is 6, what is the number?

  1. 30
  2. 36
  3. 40
  4. 15
  5. 23

Answer (b)

Explanation: Translate the whole into math’s 3√x = 6. Now take away. First cube both sides. √x = 8. Now square both sides; x = 36

Question 149: If the ratio of sec g to cosec g is 1:6, then the ratio of tan g to cot g is

  1. 1:16
  2. 5:48
  3. 9:78
  4. 3:45
  5. 4:45

Answer (a)

Explanation: The ratio which is given can be written in fractional form like sec g/cosec g = 1/6. The secant and cosecant can also be expressed in terms of sine and cosine. 1/cos g/1/sin g = 1/6. The cotangent is the reciprocal of the tangent so cot g = 6. Therefore the correct answer would be (a)

Question 150: What is the distance between the c intercept and the r intercept of the line given by the equation?

2r = 6 - f?

  1. 564
  2. 159
  3. 6.71
  4. 5.64
  5. 12

Answer (c)

Explanation: To find the value r you have to intercept and make f = 0 and solve for r. r= 3. Now to find the c intercept, make r = 0 and solve for f. You will see that they form a right angle triangle with length of 3 and 6, in which the hypotenuse stands for the distance in between the two different points. You need to use Pythagoras theorem to find the length of the hypotenuse, which will be equal to 6.7156 approximately; therefore the answer is (c).

Question 151: If e - 6 = 8e - 2, then which of the following could be the value of z?

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

Answer (d)

Explanation: e - 6 = 8e - 2
= - 6 = 8e - 2
= 6 + 2 = 8e - e
= - 4 = 7e
= e = - 4/7
Therefore the correct answer is option (d)

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