Numerical Computation and Estimation - General Aptitude - General Aptitude (GA) Previous Year Questions

The difference between the sum of the first \(2n\) natural numbers and the sum of the first \(n\) odd natural numbers is _____.

\( \oplus \) and \( \odot \) are two operators on numbers \( p \) and \( q \) such that \[ p \odot q = p - q, \text{ and } p \oplus q = p \times q \] Then, \( (9 \odot (6 \oplus 7)) \odot (7 \oplus (6 \odot 5)) = \)

A function \(y(x)\) is defined in the interval \([0, 1]\) on the \(x\)-axis as \[ y(x) = \begin{cases} 2 & \text{if } 0 \leq x < \frac{1}{3} \\ 3 & \text{if } \frac{1}{3} \leq x < \frac{3}{4} \\ 1 & \text{if } \frac{3}{4} \leq x \leq 1 \end{cases} \] Which one of the following is the area under the curve for the interval \([0,1]\) on the \(x\)-axis?

Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:

(i) Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.

(ii) Mix the samples within each set and test the mixed sample for covid.

(iii) If the test done in (ii) gives a negative result, then declare all the 5 individuals to be covid negative.

(iv) If the test done in (ii) gives a positive result, then all the 5 individuals are separately tested for covid.

Given this strategy, no more than ______ testing kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.

The 12 musical notes are given as \( C, C^{\#}, D, D^{\#}, E, F, F^{\#}, G, G^{\#}, A, A^{\#} \), and \( B \). Frequency of each note is \( \sqrt[12]{2} \) times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes \( F^{\#} \) and \( C \) is:

Which one of the following plots represents \( f(x) = -\frac{|x|}{x} \) where \( x \) is a non-zero real number?
Note: The figures shown are representative.

The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observations were made:
(i) The quantity of S sold was twice that of T.
(ii) The quantity of R sold was thrice that of T.
(iii) The quantity of Q sold was four times that of T.

Product	P	Q	R	S	T
Unit selling price (Rs.)	100	50	40	60	60

What is the quantity of product P sold on that day?