IAS 2025 — Reasoning

What is X in the sequence 24, X, 12, 18, 36, 90?

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: Is [Image: image] , where p, q are natural numbers, positive? 1. Statement I: p < q. 2. Statement II: p > q. Which one of the following is correct in respect of the above Question and the Statements?

P is the brother of Q and R. S is R's mother. T is P's father. How many of the following statements are definitely true? 1. S and T are a couple. 2. Q is T's son. 3. T is Q's father. 4. S is P's mother. 5. R is T's daughter. 6. P is S's son. Select the correct answer using the code given below:

A solid cube is painted yellow on all its faces. The cube is then cut into 60 smaller but equal pieces by making the minimum number of cuts. Which of the following statements is/are correct? 1. The minimum number of cuts is 9. 2. The number of smaller pieces which are not painted on any face is 6. Select the correct answer using the code below:

If P = +, Q = –, R = ×, S = ÷, then insert the proper notations between the successive numbers in the equation 60_15_3_20_4=20:

A mobile phone has been stolen. There are 3 suspects P, Q and R. They were questioned knowing that only one of them is guilty. Their responses are as follows: P: I did not steal. Q stole it. Q: R did not steal. I did not steal. R: I did not steal. I do not know who did it. Who stole the mobile phone?

What comes at X and Y respectively in the following sequence? January, January, December, October, X, March, October, Y, September

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: What is the smallest 1-digit number having exactly 4 distinct factors? 1. Statement I: 2 is one of the factors. 2. Statement II: 3 is one of the factors. Which one of the following is correct in respect of the above Question and the Statements?

What is X in the sequence 1, 3, 6, 11, 18, X, 42 ?

If NO is coded as 210, NOT is coded as 4200 and NOTE is coded as 21000, then how is NOTES coded?

Consider the following statements: 1. If A ≤ B > C < D > E > F ≥ G = H; then B is always greater than E. 2. If P > Q = R ≥ S = T ≤ U = V > W; then S is always less than V. Which of the statements above is/are correct?

In a certain code if 64 is written as 343 and 216 is written as 729, then how is 512 written in that code?

If FRANCE is coded as 654321 and GERMANY is coded as 9158437, then how is YEMEN coded?

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

If 7 * 24 = 25 and 12 * 16 = 20, then what is 16 * 63 equal to?

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: Let P, Q, R, S be distinct non-zero digits. If PP × PQ = RRSS, where P ≤ 3 and Q ≤ 4, then what is Q equal to? 1. Statement I: R = 1. 2. Statement II: S = 2. 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: How is Q related to P? Statement I: P has two sisters, R and S. Statement II: R’s father is the brother of Q. Which one of the following is correct in respect of the above Question and the Statements?

There are 7 places A, B, C, D, E, F and G in a city connected by various roads AB, AC, CD, DE, BF, EG and FG. A is 6 km south of B. A is 10 km west of C. D is 5 km east of E. C is 6 km north of D. F is 9 km west of B. F is 12 km north of G. A person travels from D to F through these roads. What is the distance covered by the person?

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?

Three teams P, Q, R participated in a tournament in which the teams play with one another exactly once. A win fetches a team 2 points and a draw 1 point. A team gets no point for a loss. Each team scored exactly one goal in the tournament. The team P got 3 points, Q got 2 points and R got 1 point. Which of the following statements is/are correct? 1. The result of the match between P and Q is a draw with the score 0 -0. 2. The number of goals scored by R against Q is 1. Which of the statements given above is/are correct?