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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 41: If (z – 5) = 4z – 8, then which of the following could be the value of z?

1. 65
2. 98
3. 57.98
4. 2
5. 78

Explanation: The first equation is z – 5 = 4z – 8, which simplifies to z = 4/5 but this is not the answer. Let’s look at the second equation – (z – 5) = 4z – 8. This simplifies to 5 – z = 4z – 8 that means 5z = 10 and z = 5. Therefore the answer is (d).

Question 42: If v = 4/5 and b= 6 then b/v + 4/v2 =

1. 53
2. 16
3. 45
4. 23
5. 18

Explanation: You have to just insert the values. Insert the values given for v and b into the equation
b/v + 4/v2 =
6/3 + 4/(3/3)2 = 6/3/3 + 4/4/9 =
(6*3/3) + (4 * 9/4) =
18/3 + 36/4 = 7 + 11 = 18 therefore the correct answer is (d)

Question 43: If (n – 2) = 5n – 8, then which of the following could be the value of n?

1. 25
2. 235
3. 9/5
4. 5/3
5. 23

Explanation: The first equation is n – 2 = 5n – 8, which simplifies to n = 5/2 but this is not the answer. Let us look at the second equation – (n – 2) = 5n – 8. This simplifies to 2 – n = 5n – 8 that means 5n = 10 and n = 5/3.

Question 44: If (c – 5) = 4c – 9, then which of the following could be the value of c?

1. 85
2. 35
3. 10
4. 5
5. 78

Explanation: The first equation is c – 5 = 4c – 9, which simplifies to z = 4/5 but this is not the answer. Let’s look at the second equation – (c – 5) = 4c – 9. This simplifies to 5 – c = 4c – 9 that means 5c = 25and c = 5. Therefore the correct answer is option (d)

Question 45: If f = cos Θ and g = sin Θ, then for all Θ, f2 + g 2 =

1. 35
2. 1
3. 23
4. 155
5. 75

Explanation: Substitute for m and g. So f2 + g 2 = cos2 Θ + sin 2 Θ. But you should the correct identity of cos2 Θ + sin 2 Θ = 1. Therefore the correct option is (b)

Question 46: If the cube root of the square root of a number is 5, what is the number?

1. 39
2. 25
3. 18
4. 15
5. 255

Explanation: Translate the whole into math’s 3√x = 5. Now take away. First cube both sides. vx = 15. Now square both sides; x = 25

Question 47: If the ratio of sec e to cosec e is 1:6, then the ratio of tan e to cot e is

1. 1:16
2. 9:23
3. 8:7
4. 9:45
5. 2:5

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

Question 48: If e/d = 0.694, then d/e is equal to which of the following?

1. 3:15
2. 2.67
3. 9:15
4. 2:10
5. 5:15

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

Question 49: If 0 < e < 1 then all of the following must be true except:

1. e < 5
2. 12e
3. e < e
4. 29e
5. 8e

Explanation: Plug in 0.3 for e. Now e2 = 0.35, square root of e = 0.507, w = 0.3, - e = - 0.3, -e = -0.3, and 1/e = 2. This makes A B D and E true and (c) is false.

Question 50: If a(e) = 2e2 + 2 then what is the value of a(e + 4)?

1. 3e
2. 9:12
3. e/a
4. 9
5. 2e2 + 16e +34

Explanation: Since there are variables in the answer choices you should try and insert e = 3. We are trying to find a(2 + 6) = a(8) = 2(8) 2 + 2 which is 128 our target number. Now insert 3 in for e in the answer choices to see which answer choice goes with the target its (e).

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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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