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CAT Sample Questions ›› Quantitative
Quantitative Section : Quantitative Ability
Given below are a few important questions on Multiple Choices with answers and explanation. Select the right answer from the following questions.
What is the slope of the line given by the equation 3p – 5 = 5 – 2k?
Explanation: To find the slope of the line simply, get its equation into the form y = pk + b, where k will be the value of the slope. To find 3p – 5 = 5 – 2k in this form, just take away y. You will find that p = -2/3 + 4. Therefore the answer is (b).
If v(n) = |n| + 40 for which of the following values of p does v(n) = v(-n)?
Explanation: To start with the equation the statement v(n) = v(-n) when v = -40 and 40. A simple number like zero works best. v(0) = Ι0Ι + 40 = 40. You can see that v(0) = v(-0) so zero must be the part of correct answer, therefore (c) is the correct option.
If (s + k)2 = 15 and sk = 5 then s2 + k2 =
Explanation: (s + k) 2 = 15
If s – e > s + e, then which of the following must be true?
Explanation: Algebraic manipulation is the simplest way to answer this problem. You are required to add s to each side, which will give inequality s> s + 2e. Now you have to subtract e each side to get 0 > 2e and you will find your answer is (b).
Find the slope of the line given by the equation
k + 3 = 9/2 (p – 7)?
Explanation: You may see that this is the point slope form and that the slope is 9/2. If you don’t see that rewrite the equations into slope form.
If the ratio of sec z to cosec z is 1:8, then the ratio of tan z to cot z is
Explanation: The ratio which is given can be written in fractional form like sec p/cosec z = 1/8. The secant and cosecant can also be expressed in terms of sine and cosine. 1/cos z/1/sin z = 1/8. The cotangent is the reciprocal of the tangent so cot z = 8. Therefore, the correct answer would be (a)
If r = 5/2 and s = 6 then sr + 4/r2 =
Explanation: Insert the values given for r and s into the equation
If y – 9 = 9 (1 – y), then what is the value of y?
Explanation: The fraction x/a is a equal to n/x. To find the numerical value of x/a just turn the numerical value of a/x; this comes to 0.724. Your calculation will tell you that 1/0.724 = 0.33.
If 9e + 2k = 11 and u – 3k = 4, then what is the value of u?
Explanation: When you have two equations which are very similar in form you are probably looking at classic ETS style simultaneous equations. Adding the two equations cancels out the d term leaving you with the equation 8e = 16, so u = 2
If p(q) = |q| + 40 for which of the following values of q does p(q) = p(-q)?
Explanation: To start with the equation the statement p(q) = p(-q) when p = -40 and 40. A simple number like zero works best. p(0) = Ι0Ι + 40 = 40. You can see that p(0) = p(-0) so zero must be the part of correct answer, therefore (c) is the correct option.
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