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CAT Sample Questions ›› Quantitative
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 61: Solve the following equation 3y + 5 = x - 1
Explanation: 3y + 5 = y - 1
3y - y = - 5 - 1
Question 62: At what coordinates does the graph of 4c+ 6 = d - 1 intersects the c axis?
Explanation: The value at which a line intersects the c axis is called the c intercept; that is the c coordinates of the point of intersection. This means that the d coordinate (or the value of d) should be zero at each point on the c axis, so eliminate answer (d) and (e). If you put the line 4c + 6 = d - 1 into the form of c = md + b then b will be the c intercept. The rearranged equation looks like the form c = 1/4d - 2. The c intercept is - 2 and you know the d coordinate must be zero, so the point of intersection has the coordinates (0, -2)
Question 63: If 0 < e < 2 then all of the following must be true except:
Explanation: Plug in 0.5 for n. Now e2 = 0.25, square root of e = 0.707, e = 0.4, - e = - 0.4, -e = -0.4, and 1/e = 2. This makes A B D and E true and (c) is false.
Question 64: If e(p) = 2p2 + 2 then what is the value of e(p + 4)?
Explanation: Since there are variables in the answer choices you should try and insert p = 3. We are trying to find e(3 + 4) = e(7) = 2(7)2 + 2 which is 100 our target number. Now insert 3 in for p in the answer choices to see which answer choice goes with the target its (e)
Question 65: If e = log, (vx) then uz =
Explanation: If (vx) = e is a component then e that turn u into vz. You can compute the value of e = 3.0103. The only answer choice that equals to 1,024. Therefore (b) is the answer.
Question 66: b varies directly as the square of e. When b = 3.5, e = 0.5 If b = 80, then r would be equal to
Explanation: If b varies directly as the square of the e, it means b / e2 will always have the same value. So set up a proportion 3.5/(0.5)2 = 80/e2. You require to cross multiply and solve e2 = 8. Therefore e = +2√2
Question 67: If h - n > h + e, then which of the following must be true?
Explanation: Algebraic manipulation is the simplest way to answer this problem. You have to add to each side which will give inequality h > h + 2e. Now you are required to subtract from each side to get 0 > 2e and you will find your answer is (b).
Question 68: What is the distance between the c intercept and the t intercept of the line given by the equation?
2z = 6 - c?
Explanation: To find the t - intercept just make c = 0 and solve for t. t= 3. Now to find the c intercept, make t = 0 and solve for m. 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 use Pythagoras theorem to find the length of the hypotenuse, which will be equal to 6.9156 approximately; therefore the answer is (c).
Question 69: If e = cos Θ and l = sin Θ, then for all Θ, e2 + a2 =
Explanation: Substitute for x and y. So e2 + a2 = cos2Θ + sin 2Θ. But you should the correct identity of cos2Θ+ sin2Θ= 1. Therefore the option is (b).
Question 70: Find the slope of the line given by the equation
j + 3 = 5/2 (e - 3)?
Explanation: You may see that this is the point slope form and that the slope is 5/2. If you donít see that rewrite the equations into slope form.
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