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# Quantitative Section : Quantitative Ability

Given below are a few important questions on Multiple Choices with answers and explanation. These questions will help you clear your CAT exam.

Question 1: If (m  3) = 4m  5, then which of the following could be the value of m?

1. 98
2. 6
3. 85
4. 2
5. 47

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

Question 2: If w = 2/3 and a = 6 then a/w + 4/w2 =

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

Explanation: Insert the values given for w and a into the equation a/w + 4/w2 = 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 3: As an agent, Leonardo receives a \$20,00 commission for each unit he sells more than 500 units, she receives an additional bonus of \$2,000,00. What was the total amount Leonardo received in bonuses in 2011?

1. \$987
2. \$4,00,000
3. \$238
4. \$127
5. \$56

Explanation: Leonardo sold more than 500 units in only 4 month in the year 2011; therefore, 4 months bonus will be quiet equal to the option (b).

Question 4: If (w  5) = 4w  7, then which of the following could be the value of w?

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

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

Question 5: If u = cos Θ and v = sin Θ, then for all Θ, u2 + v2 =

1. 12
2. 1
3. 23
4. 78
5. 78

Explanation: Substitute for m and n. So u2 + v2 = cos2Θ + sin2Θ. But you should the correct identity of cos2Θ + sin2Θ = 1. Therefore the correct option is (b).

Question 6: If log5 = 7 then c =

1. 23.74
2. 74
3. 1.09
4. 56
5. 98

Explanation: The equation log 5 = 7 in exponential form, c8= 5. Now you have to find the value of c, you are required to take the 7th root of both the sides. You will see that m = 1.09. The correct option is (c).

Question 7: If q < a < 2 then all of the following must be true except:

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

Explanation: First place the amount 0.5 in place of a. Now a3 = 0.25, cube root of a = 0.707, a = 0.5, - a = - 0.5, -a = -0.5, and 1/a = 2. This makes (a), (b), (d) and (e) true and (c) false.

Question 8: Points B, W G and P are arranged in a line in the same order. If BG = 13, WP = 14 and BP = 21 then WG =

1. 12
2. 45
3. 8
4. 89
5. 97

Explanation: To answer the problem algebraically separate 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 9: If g = log, (ax) then pz =

1. 23g
2. px
3. 19
4. 21a
5. 25

Explanation: If (ax) = c is a component then g will turn into p and it will turn into az you can compute the value of g = 4.0103. The only answer choice that equals to 2,054. Therefore (b) is the answer.

Question 10: If x  a > x + a, then which of the following must be true?

1. t
2. a < 0
3. 25x
4. 16
5. 98

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

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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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