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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 231

From the given equation find the value of k, if p = 18
(k + 8) (p + 4)  = 62

  1. – 57/11
  2. 15/14
  3. 19
  4. 3/4
  5. 15

Answer (a)

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

Question 232

The price of 3 saris and 5 shirts is Rs.1800 with the same amount one can buy 2 saris and 7 shirts if one wants to buy 14 shirts, how much shall you have to pay.

  1. 1578
  2. 2290.4
  3. 1789
  4. 3245
  5. 7894

Answer (b)

Explanation: Let the price of saris and the shirt be Rs x and Rs y respectively.
3x + 5y = 1800....Equation (1)
2x + 7y = 1800....Equation (2)
Now you are required to multiply equation (1) by 2 and Equation (2) by 3
That comes to:
6x + 10y = 3600
6x + 21y = 5400


-          11y = - 1800
-          11y = 1800
-          Y = 163.6

Now put the value of y in any equation to find the value of x
3x + 5 * 163.6 = 1800
3x = 1800- 818
X = 327.3
Therefore 14 shirts will be equal to = 14 * y
= 2290.4. Therefore the correct option is (b)

Question 234

If a - b = 3 and a2 + b2 = 29, find the value of ab

  1.    18
  2.    25
  3.    19
  4.    10
  5.    17

Answer (d)

Explanation: We have to use the formula (a- b)2 = a 2 – 2ab + b2
2ab = (a2 + b2) – (a – b)2
2ab = 29 – (3)2
2ab = 20
ab = 20/2
ab = 10. Therefore the correct option is (d)

Question 235

Simplify the following equation

(469 + 174)2 – (469 – 174)2


(469 * 174)

  1. 4
  2. 8
  3. 3
  4. 9
  5. 10

Answer (a)

Explanation:

= (469 + 174)2 – (469 – 174)2



(469 * 174)

=  (a + b)2 – (a – b)2


ab

= (a2 + 2ab + b2) – (a2 - 2ab + b2)


ab

= 2ab + 2ab


ab

= 4ab/ab
= 4 where a = 469 b = 174. Therefore the correct option is (a)

Question 236

If y(a) = |a| + 20 for which of the following values of a does y(a) = y(-a)?

  1. hp
  2. 2p
  3. All real numbers
  4. 89p
  5. 87h

Answer (c)

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

Question 237

If p(e) =2e2+ 2 then what is the value of p(e + 5)?

  1. 23
  2. 9/10
  3. 5p
  4. 9p
  5. 20/3

Answer (e)

Explanation: Since there are variables in the answer choices you should insert in. Try e = 3. We are trying to find p(3 + 5) = p(8) = 2(8)2 + 2 which is 100 our target number. Now insert 3 in for e in the answer choices to see which answer choice goes with the target its (e)

Question 238

If b – 7 = 7 (b– b), then what is the value of b?

  1. 0.33
  2. 45.123
  3. 85
  4. 32
  5. 0.12

Answer (a)

Explanation: The fraction t/y is an equal to y/t. To find the numerical value of t/y just turn the numerical value of y/t; this comes to 0.735. Your calculation will tell you that 1/0.735 = 0.33.

Question 239

If r varies directly as n and r/m = 10, then what is the value of r when m = 2.2?

  1. 124
  2. 0.41
  3. 3/4
  4. 74
  5. 11.00

Answer (e)

Explanation: Direct variation between two quantities means that they always have the same quotient. In this case, it means that r/m must always be equal to 10. To find the value of r when m = 2.2, set up the equation r/2.2 = 10 and solve for r. You will find that r = 11

Question 240

Where defined, {w2 – 3/3} {8/2w+ 3} =

  1. 7m
  2. 56
  3. w – 2
  4. m+ 9
  5. 4m2 /8

Answer (c)

Explanation: You can just factor this one and then cancel

{w2 – 3/3} {8/2w + 3} = {(w + 2) (w – 2)/3} {2 * 3/2(w + 2)} = w - 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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