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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 choice

Question 191

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

1. – 57/11
2. 23
3. 15
4. 5/4
5. 25

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 192

Simplify the following equation and find the value of d
(8 + 4d) (12 + 2) = 78

1. 5
2. – 11 / 14
3. 52
4. 81
5. 29

Explanation: (8 + 4d) (12 + 2) = 78
106 + 16 + 48d + 8d = 78
122 + 56d = 78
56d = 78 – 122
D = - 11/14
Therefore the correct option is (b)

Question 193

Find the slope of the line given by the equation
z + 3 = 5/4 (x – 7)?

1. 45/2
2. 32/5
3. 33/5
4. 21/9
5. 5/4

Explanation: You may see that this is the point slope form and that the slope is 5/4. If you don’t see that rewrite the equations into slope form.

Question 194

What is the distance between the w intercept and the d intercept of the line given by the equation?
2d = 6 – w?

1. 9
2. 0.78
3. 5.81
4. 0.12
5. 8.26

Explanation: To find the d – intercept just make w = 0 and solve for d. d= 3. Now to find the w intercept, make d = 0 and solve for w. 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 195

If (g – 2) = 4g – 7, then which of the following could be the value of g?

1. 1
2. 6
3. 7.8
4. 2
5. 8

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

Question 196

If f = 2/3 and k = 6 then k/f + 4/f2 =

1. 6
2. 44
3. 90
4. 56
5. 2346

Explanation: You have to just insert the values. Insert the values given for f and k into the equation
f/k + 4/f2 =
6/2 + 4/(2/3)2 = 6/2/3 + 4/4/8 =
(6*3/2) + (4 * 8/4) =
18/2 + 36/4 = 9 + 9 = 18 therefore the correct answer is (d)

Question 197

If (q – 3) = 4q – 7, then which of the following could be the value of q?

1. 6
2. 5
3. 0.87
4. 2
5. 12

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

Question 198

Points S, E R and U are arranged in a line in the same order. If SR = 13, EF = 14 and SU = 21 then ER =

1. 7
2. 9
3. 8
4. 5
5. 10

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

Question 199

If 0 < w < 1 then all of the following must be true except:

1. 9
2. 67w
3. w < w
4. 3w
5. 5

Explanation: First place the amount 0.5 in place of w. Now w3 = 0.25, cube root of w = 0.707, w = 0.5, - w = - 0.5, -w = -0.5, and 1/w = 2. This makes (a), (b), (d) and (e) true and (c)  false.

Question 200

If log 3 = 9 then m =

1. 1.50
2. 8
3. 1.09
4. 9.06
5. 0.08

Explanation: The equation log 3 = 9 in exponential form, m8 = 3. Now you have to find the value of m, you are required to take the 9th root of both the sides. You will see that m = 1.09. The correct option is (c).

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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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