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# 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 choices

Question 181

If h/k = 0.595, then k/h is equal to which of the following?

1. 6
2. 2.67
3. 0.15
4. 98/2
5. 225

Explanation: Make the base on both sides of the equation the same. 243 is similar as 35. So 35x = 35, which means that a = 1.

Question 182

s(y) = y2 – 20y, from this equation we need to find the value of s if y = 6

1. – 16
2. 23
3. 14
4. 17
5. 8

Explanation: You need to put the value of y in the equation
S(6) = 62 – 20*6
= 6s = 36 – 120
= s =  - 84/6
= s = - 16
Therefore we can see that the correct option is (a)

Question 183

p varies directly as the square of x. When p = 2.5, x = 0.5 If p = 80, then x would be equal to

1. – 2 √2
2. - 45
3. -20
4. – 12/14
5. – 6

Explanation: If p varies directly as the square of the x, it means p / x2 will always have the same value. So set up a proportion 2.5/(0.5)2 = 80/x2. You require to cross multiply and solve x2 = 8. Therefore x = +2√2

Question 184

If x – a > x + a, then which of the following must be true?

1. 145
2. a < 8
3. a - 1
4. 12
5. 32

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

Question 185

Which of the following has the greatest value?

1. 600600
2. 10100
3. 1.328
4. 35
5. 80

Explanation: The significant fact about this question is that it is not necessary to find the correct value of the expression. You require rearranging as many answer choices as possible so that they have the exponents of 100. Take a close glance on each of the expression 600600, 35, 80, 1.328, 10100. It will be clear that (a) is bigger than (c), therefore the answer is (a).

Question 186

What is the distance between the s intercept and the d intercept of the line given by the equation?

2d = 6 – s?

1. 9.12
2. 0.15
3. 5.81
4. 0.14
5. 8.26

Explanation: To find the d – intercept just make s = 0 and solve for d. d= 3. Now to find the s intercept, make d = 0 and solve for s. You will see that they form a right angle triangle with length of 3 and 6, in which the hypotenuse represents the distance in between the two distinct points. You are required to used Pythagoras theorem to find the length of the hypotenuse, which will be equal to 5.8156 approximately; therefore the answer is (c).

Question 187

How many dissimilar three digit numbers include only non-zero numbers?

1. 201
2. 200
3. 965
4. 729
5. 124

Explanation: If there is a three digit no 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 729.

Question 188

From the given equation find the value of x, if y = 12

(x + 4) (y + 2)  = 72

1. 8/7
2. 23
3. 15
4. 5/4
5. 25

Put the value of y in the equation
(x + 4) (12 + 2) = 72
12x + 2x + 48 + 8 = 72
14x + 56 = 72
14x = 72 – 56
X =  16/14
X = 8/7. Therefore the correct option is (a)

Question 189

Simplify the following equation

(6 + 4y) (8 + 6) = 48

1. 54
2. – 3 / 46
3. -4/5
4. 41
5. 23

(54 + 36y + 32y + 24y) = 48
54 + 92y = 48
92y = 48 – 54
Y = - 6 / 92
Y = -3/46. Therefore the correct option is (b)

Question 190

From the following equation find the value of a, where b = 2

8a + 18b + 56 = 98

1. 3/4
2. 78
3. 52
4. 14
5. 16

Explanation: 8a + 18 * 2 + 56 = 98
8a + 92 = 98
8a = 98 – 92
8a = 6
A = 3/4, Therefore the correct option is (a).

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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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