Practise UPSC MCQs with explanations

In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q − S = 2S and T = R + S + 3, then what is the value of P + R − T?

What will come in place of * in the sequence 3, 14, 39, 84, *, 258?

If in a certain code, 'POT' is written as ATOP and 'TRAP' is written as APART, then how is 'ARENA' written in that code?

If in a certain code, 'ABCD' is written as 24 and 'EFGH' is written as 1680, then how is 'IJKL' written in that code?

If P means 'greater than (>)'; Q means 'less than (<)'; R means 'not greater than (≤)'; S means 'not less than (≥)' and T means 'equal to (=)', then consider the following statements: 1. If 2x S 3y and 3x T 4z, then 9y P 8z. 2. If x Q 2y and y R z, then x R z. Which of the statements given above is/are correct?

If a + b means a − b; a − b means a × b; a × b means a ÷ b; a ÷ b means a + b, then what is the value of 10 + 30 − 100 × 50 ÷ 25? (Operations are to be replaced simultaneously.)

A Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of Statements where the first Statement implies the second, and the two Statements are logically consistent with the Main Statement. Main Statement: Pradeep becomes either a Director or a Producer. Statement P: Pradeep is a Director. Statement Q: Pradeep is a Producer. Statement R: Pradeep is not a Director. Statement S: Pradeep is not a Producer. Select the correct answer.

A Question is given followed by two Statements I and II. Age of each of P and Q is less than 100 years but more than 10 years. If you interchange the digits of the age of P, the number represents the age of Q. Question: What is the difference of their ages? Statement-I: The age of P is greater than the age of Q. Statement-II: The sum of their ages is 11/6 times their difference. 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. P, Q, R and S appeared in a test. Question: Has P scored more marks than Q? Statement-I: The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S. Statement-II: The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R. 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. A person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least. Question: What is the price of the article p? Statement-I: The cost of p is not more than that of r. Statement-II: The cost of r is not more than that of p. 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. Question: Is (x + y) an integer? Statement-I: (2x + y) is an integer. Statement-II: (x + 2y) is an integer. 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. There are three distinct prime numbers whose sum is a prime number. Question: What are those three numbers? Statement-I: Their sum is less than 23. Statement-II: One of the numbers is 5. 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. Question: If the average marks in a class are 60, then what is the number of students in the class? Statement-I: The highest marks in the class are 70 and the lowest marks are 50. Statement-II: Exclusion of the highest and lowest marks from the class does not change the average. 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. A certain amount was distributed among X, Y and Z. Question: Who received the least amount? Statement-I: X received 4/5 of what Y and Z together received. Statement-II: Y received 2/7 of what X and Z together received. 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. Question: What are the unique values of x and y, where x, y are distinct natural numbers? Statement-I: x / y is odd. Statement-II: xy = 12. 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. Question: What is the time required to download the software? Statement-I: The size of the software is 12 megabytes. Statement-II: The transfer rate is 2·4 kilobytes per second. 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. Question: What are the values of m and n, where m and n are natural numbers? Statement-I: m + n > mn and m > n. Statement-II: The product of m and n is 24. Which one of the following is correct in respect of the above Question and the Statements?

A Statement is given followed by two Conclusions numbered I and II. Statement: India is the world's largest producer of milk. Conclusion-I: India is the world's largest exporter of milk. Conclusion-II: India does not import milk. Which one of the following is correct?

A person walks 100 m Westward, then turns left and walks 100 m. He then takes a 225° turn clockwise. In which direction is he walking now?

A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office. In which direction does he walk initially from his house if his office is exactly in the North-East direction?