GATE DA Quantitative Aptitude Short Notes: Syllabus, Unit-wise Weightage and Study Order

GATE DA Quantitative Aptitude: 2 units and 7 chapters, a study order by exam weight and 0 practice questions.

Units in GATE DA Quantitative Aptitude

All Quantitative Aptitude chapters

One Solved Question from Each Quantitative Aptitude Chapter

Question 1 · Quantitative Aptitude MCQ

If the average value of a dataset $X$ is 10, and a new dataset $Y$ is created using the linear transformation $Y = 2 X + 3$ , what is the average value of $Y$ ?

A.
20
B.
13
C.
26
D.
23

Correct Answer:

Step-by-Step Solution

Key idea: This is a direct substitution question, recognisable because it gives the average of a variable and asks for the average after a linear transformation.

Step 1: Recall the property of linear transformation of averages. If $Y = a X + b$ , then the average of $Y$ is $\overset{ˉ}{Y} = a \overset{ˉ}{X} + b$ .

Step 2: Identify the given values. $\overset{ˉ}{X} = 10$ , $a = 2$ , and $b = 3$ .

Step 3: Substitute these values into the formula: $\overset{ˉ}{Y} = 2 (10) + 3$ .

Step 4: Calculate the result: $20 + 3 = 23$ .

Answer: D

chapter

GATE DA Quantitative Aptitude Short Notes: Syllabus, Unit-wise Weightage and Study Order

GATE DA Quantitative Aptitude: 2 units and 7 chapters, a study order by exam weight and 0 practice questions.

A question from this chapter

Question 1

If the average value of a dataset X is 10, and a new dataset Y is created using the linear transformation Y = 2 X + 3, what is the average value of Y ?

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