September 2023

At the point 𝑥 = 0, the function 𝑓(𝑥) = 𝑥3 has A. local maximum B. local minimum C. both local maximum and minimum D. neither local maximum nor local minimum Ans: Neither local maximum nor local minimum

Q. Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters

Q. Which of the following function(s) is an accurate description of the graph for the range(s) indicated? (i)      𝑦 = 2𝑥 + 4 for −3 ≤ 𝑥 ≤ −1 (ii)      𝑦 = |𝑥 − 1| for −1 ≤ 𝑥 ≤ 2 (iii)       𝑦 = ||𝑥| − 1| for −1 ≤ 𝑥 ≤ 2 (iv)       𝑦

Q. The price of a wire made of a superalloy material is proportional to the square of its length. The price of 10 m length of the wire is Rs. 1600. What would be the total price (in Rs.) of two wires of lengths 4 m and 6m? (A) 768            (B) 832            (C) 1440          (D)

Q. A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller?             (A) 48               (B) 52                         (C) 60                         (D) 108 Ans: 60 Sol:

Q. The temperature 𝑇 in a room varies as a function of the outside temperature 𝑇0 and the number of persons in the room 𝑝, according to the relation 𝑇 = Κ (Θ𝑝 + 𝑇0), where Θ and Κ are constants. What would be the value of Θ given the following data? 𝑻𝟎 𝒑 𝑻