Bright Engineering College Electives Selection

Question 1

On her way back Simran met her friend Raj and shared the above information. Raj is preparing for XAT and is only interested in Grade - oriented (G) electives. He wanted to know the number of G - type electives being offered. Simran replied, “You have all the information. Calculate the number of G - type electives yourself. It would help your XAT preparation”. Raj calculates correctly and says that there can be _______ possible answers. Which of the following options would best fit the blank abov

Accepted Answer

B. Let the number of only Q and only J electives be $a$. Let only G electives be $b$ with $b > a$. Let $QJ = x - 2$, $QG = x$, and $JG = x + 2$ where $x > 2$. The total number of electives is $2a + b + 3x + 1 = 20 \implies 2a + b + 3x = 19$. Total G-type electives $g = b + 2x + 3$. Testing integer values of $x$: - For $x = 3 \implies 2a + b = 10$. $(a,b) \in \{(1,8), (2,6), (3,4)\} \implies g \in \{17, 15, 13\}$. - For $x = 4 \implies 2a + b = 7$. $(a,b) \in \{(1,5), (2,3)\} \implies g \in \{16, 14\}$. - For $x = 5 \implies 2a + b = 4$. $(a,b) = (1,2) \implies g = 13$. Thus, $g$ can take values $13, 14, 15, 16, 17$, giving 5 possible answers. Hence, option B is correct.

Question 2

Simran prefers J - type electives and wants to avoid Q - type electives. She noted that the number of only J - type electives is 3. Raj’s preference is G - type electives followed by Q - type electives. However, they want to take as many common electives as possible. What is the maximum number of electives that can be common between them, without compromising their preferences?

Accepted Answer

C. Given $a = 3$, $2a + b + 3x = 19 \implies b + 3x = 13$. To maximize $x$ with $b > a = 3$, we choose $b = 4$ and $x = 3$. The electives common to both without violating preferences are the $JG$ electives and $JQG$ electives, totaling $x + 2 = 3 + 2 = 5$. Hence, option C is correct.

Question 3

Vijay and Raj want to avoid each other. Vijay is interested in J - type electives and wants to avoid Q - type electives. Raj’s preference is G - type electives followed by Q - type electives. Raj noted that the number of only G - type electives is 2. Is there a possibility that they would not share any common electives(s)?

Accepted Answer

A. Vijay can select electives strictly from J and JG categories, whereas Raj can choose electives from G, Q, and GQ categories. Since there is no forced overlap between these respective elective sets, it is possible for them to avoid each other completely. Hence, option A is correct.

Bright Engineering College Electives Selection

Passage / data set

Question 1 of 3

Explanation

Question 2 of 3

Explanation

Question 3 of 3

Explanation

Practise this under exam conditions