IAS 2024 — Reasoning

What is the least possible number of cuts required to cut a cube into 64 identical pieces?

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?

A Question is given followed by two Statements I and II. Consider the Question and the Statements. 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? 1. Statement-I: The age of P is greater than the age of Q. 2. 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 Statement is given followed by two Conclusions numbered I and II. Consider the Statement and the Conclusions. 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 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?

Consider the sequence A_BCD_BBCDABC_DABC_D that follows a certain pattern. Which one of the following completes the sequence?

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

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

A Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of the 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. Consider the Question and the Statements. 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 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?

If P means ‘greater than (>)’; Q means less than (<)’; R means ‘not greater than \(\left( \boxed{>} \right)\)’; S means ‘not less than \(\left( \boxed{<} \right)\)’ 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?

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question: What are the unique values of x and y, where x, y are distinct natural numbers? 1. Statement-I: x / y is odd. 2. Statement-II: xy = 12 Which one of the following is correct in respect of the above Question and the Statements?

How many times the hour hand and the minute hand coincide in a clock between 10:00 a.m. and 2:00 p.m. (same day)?

A Question is given followed by two Statements I and II. Consider the Question and the Statements. 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?

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

A Question is given followed by two Statements I and II. Consider the Question and the Statements. There are three distinct prime numbers whose sum is a prime number. Question: What are those three numbers? 1. Statement-1: Their sum is less than 23. 2. Statement-II: One of the numbers is 5. Which one of the following is correct in respect of the above Question and the Statements?

The calendar for the year 2025 is same for

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 Question is given followed by two Statements I and II. Consider the Question and the Statements. A certain amount was distributed among X, Y and Z. Question: Who received the least amount? 1. Statement-1: X received 4/5 of what Y and Z together received. 2. 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. Consider the Question and the Statements. Question: What is the time required to download the software? 1. Statement-I: The size of the software is 12 megabytes. 2. 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. Consider the Question and the Statements. 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. Consider the Question and the Statements. 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. Consider the Question and the Statements. Question: Is (x + y) an integer? 1. Statement-I: (2x+y) is an integer. 2. Statement-II: (x+2y) is an integer. Which one of the following is correct in respect of the above Question and the Statements?

A father said to his son, “n years back I was as old as you are now. My present age is four times your age n years back”. If the sum of the present ages of the father and the son is 130 years, what is the difference of their ages?