Prepare for Civil Services Aptitude Test (Paper-II) with step-by-step solutions for Quantitative Aptitude, Logical Reasoning, Analytical Ability, Data Interpretation, and Reading Comprehension.
Marking pattern: +2.50 positive, -0.83 negative (Official UPSC CSAT Pattern).
Directions for the following item: Read the following passage and answer the item that follows. Your answer to this item should be based on the passage only.
Passage - 1
A single number for inflation is an aggregate across different commodities and services — the price rise differs for different items of consumption. So, the single number is arrived at by assigning weights to different commodities and services. For WPI, the weights in production are used; for CPI, the consumption basket is used. But people are not homogeneous. The consumption basket is vastly different for the poor, the middle classes, and the rich. Hence, the CPI is different for each of these classes and a composite index requires averaging the baskets.
Which one of the following statements best reflects the most logical, rational and crucial message conveyed by the passage?
Directions for the following item: Read the following passage and answer the item that follows. Your answer to this item should be based on the passage only.
Passage - 2
Trust stands commonly defined as being vulnerable to others. Entrepreneurship implies trust in others and willingness to expose oneself to betrayal. Trust in expert systems is the essence of globalizing behaviour; trust itself emerges as a super-commodity in the social market and defines the characteristics of goods and services in a global market. Trusting conduct also means holding others in good esteem, and an optimism that they are, or will be, competent in certain respects.
Which one of the following statements best reflects the crux of the passage?
A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.
Question: In a football match, team P playing against Q was behind by 3 goals with 10 minutes remaining. Does team P win the match?
Statement I: Team P scored 4 goals in the last 10 minutes.
Statement II: Team Q scored a total of 4 goals in the match.
Which one of the following is correct in respect of the above Question and the Statements?
A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.
Question: Is $(p + q)^2 - 4pq$, where p, q are natural numbers, positive?
Statement I: $p < q$.
Statement II: $p > q$.
Which one of the following is correct in respect of the above Question and the Statements?
In a T20 cricket match, three players X, Y and Z scored a total of 37 runs. The ratio of number of runs scored by X to the number of runs scored by Y is equal to ratio of number of runs scored by Y to number of runs scored by Z.
Value-I = Runs scored by X
Value-II = Runs scored by Y
Value-III = Runs scored by Z
Which one of the following is correct?
Let $p + q = 10$, where p, q are integers.
Value-I = Maximum value of $p \times q$ when p, q are positive integers.
Value-II = Maximum value of $p \times q$ when $p \ge -6$, $q \ge -4$.
Which one of the following is correct?
Consider a set of 11 numbers:
Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers $\ge -5$.
Value-II = Minimum value of the product of the numbers of the set when they are consecutive non-negative integers.
Which one of the following is correct?
The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value of r?
Let x be a real number between 0 and 1. Which of the following statements is/are correct?
I. $x^2 > x^3$
II. $x > \sqrt{x}$
Select the correct answer using the code given below:
The difference between any two natural numbers is 10. What can be said about the natural numbers which are divisible by 5 and lie between these two numbers?