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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 221

If h = 2/3 and k = 6 then k/h + 4/h2 =

  1. 323
  2. 76
  3. 10
  4. 11
  5. 2346

Answer (e)

Explanation: Insert the values given for h and k into the equation
k/h + 4/h2 =
5/2 + 3 (4/2)2 = 7/2 + 5/5
= 5/2 + 12 = 7/2 + 5/5
= 29/2 = 7/2
= 11 therefore the correct answer is (d).

Question 222

If (c – 5) = 4c – 7, then which of the following could be the value of c?

  1. 985
  2. 784
  3. 364
  4. 2
  5. 89

Answer (d)

Explanation: The first equation is c – 5 = 4c – 7, which simplifies to c = 4/3 but this is not the answer. Let’s look at the second equation – (c – 5) = 4c – 7. This simplifies to 5 – c = 4c – 7 that means 5c = 10 and c = 2.

Question 223

If log9 = 2 then c =

  1. 3.7
  2. 74.12
  3. 1.09
  4. 0.14
  5. 9.45

Answer (c)

Explanation: The equation log 9 = 2 in exponential form, c8 = 9. Now you have to find the value of c, you are required to take the 2th root of both the sides. You will see that m = 1.09. The correct option is (c).

Question 224

If u < k < 2 then all of the following must be true except:

  1. a
  2. 25q
  3. k < k
  4. 89a
  5. 16q

Answer (c)

Explanation: First place the amount 0.5 in place of k. Now k3 = 0.25, cube root of k = 0.707, a = 0.5, - a = - 0.5, -k = -0.5, and 1/k = 2. This makes (a), (b), (d) and (e) true and (c)  false.

Question 225

From the given equation find the value of e, if p = 18

(e + 8) (p + 4)  = 62

  1. – 57/11
  2. 23
  3. 15
  4. 5/4
  5. 25

Answer (a)

Put the value of m in the equation
(e+ 8) (18 + 4) = 62
18e + 4e + 144 + 32 = 62
22e = 62 – 176
22e = - 114/22
e = - 57/11. Therefore the correct option is (a)

Question 226

Points H, W F and Z are arranged in a line in the same order. If HF = 13, WZ = 14 and HZ = 21 then WF =

  1. 5
  2. 88
  3. 8
  4. 9
  5. 7

Answer (c)

Explanation: To solve the question algebraically you need to separate y one step at a time. First you are required to multiply by 4 on the right, k – 4 = 4 – 4k. Next add 3k to each side and then add 4 to each side to get 4k = 6. Divide each side by 4 to get k = 8.Therefore the correct answer is (c).

Question 227

Simplify the following equation and find the value of d

(8 + 4r) (12 + 2) = 68

  1. 16
  2. – 27/28
  3. 12
  4. 71
  5. 49

Answer (b)

Explanation: (8 + 4r) (12 + 2) = 68
106 + 16 + 48r + 8d = 78
122 + 56r = 78
56r = 68 – 122
r = - 27/28
Therefore the correct option is (b)

Question 228

If log 4 = 7 then f =

  1. 7.14
  2. 5.23
  3. 1.09
  4. 145
  5. 23

Answer (c )

Explanation: The equation log 4 = 7 in exponential form, f7 = 2. Now you have to find the value of f, you are required to take the 7th root of both the sides. You will see that f = 1.09. The correct option is (c).

Question 229

b varies directly as the square of q. When b = 3.5, q = 0.5 If b = 90, then c would be equal to

  1. 2 √2
  2. 2 √3
  3. 17
  4. 4
  5. 18

Answer (a)

Explanation: If b varies directly as the square of the d, it means b /q2 will always have the same value. So set up a proportion 3.5/(0.5)2 = 90/q2. You require to cross multiply and solve q2 = 8. Therefore q = 2√2

Question 230

How many different three digit numbers comprise only of non-zero numbers?

  1. 165
  2. 300
  3. 787
  4. 739
  5. 878

Answer (d)

Explanation: If there is a three digit number and it has 0, then there are in fact nine possibilities for the first numbers from 1 to 9, 9 possibilities for the 2nd numbers from 1 to 9, 9th possibilities for the third number from 1 to 9. This comes to the total of 9*9*9 possible 3 digit numbers therefore the right answer is 739.

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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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