IAS 2023 — Reasoning

125 identical cubes are arranged in the form of a cubical block. How many cubes are surrounded by other cubes from each side?

40 children are standing in a circle and one of them (say child-1) has a ring. The ring is passed clockwise. Child-1 passes on to child-2, child-2 passes on to child-4, child-4 passes on to child-7 and so on. After how many such changes (including child-1) will the ring be in the hands of child-1 again?

A cuboid of dimensions 7cm × 5cm × 3cm is painted red, green and blue colour on each pair of opposite faces of dimensions 7cm × 5cm, 5cm × 3cm, 7cm × 3cm respectively. Then the cuboid is cut and separated into various cubes each of side length 1cm. which of the following statements is/are correct? 1. There are exactly 15 small cubes with no paint on any face. 2. There are exactly 6 small cubes with exactly two faces, one painted with blue and the other with green. Selected the correct answer using the code given, below:

Choose the group which is different from the others:

Consider a 3-digit number. What is the number? 1. The sum of the digits of the number is equal to the product of the digits. 2. The number is divisible by the sum of the digits of the number. Which one of the following is correct in respect of the above Question and the Statements?

Consider the following: 1. \(A + B\) means \(A\) is neither smaller nor equal to \(B\). 2. \(A - B\) means \(A\) is not greater than \(B\). 3. \(A \times B\) means \(A\) is not smaller than \(B\). 4. \(A \div B\) means \(A\) is neither greater nor equal to \(B\). 5. \(A \pm B\) means \(A\) is neither smaller nor greater than \(B\). Statement: \(P \times Q\), \(P - T\), \(T \div R\), \(R \pm S\) Conclusion-1: \(Q \pm T\) Conclusion-2: \(S + Q\) Which one of the following is correct in respect of the above Statement and the Conclusions?

Consider the following statements: 1. A is older than B. 2. C and D are of the same age. 3. E is the youngest. 4. F is younger than D. 5. F is older than A. How many statements given above are required to determine the oldest person/person?

Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true and one statement is false. True Statement: One of P and Q was selected for the job. False Statement: At least one of R and S was selected for the job. True Statement: At most two of R, S and T were selected for the job. Which of the following conclusions can be drawn? 1. At least four were selected for the job. 2. S was selected for the job. Select the correct answer using the code given below:

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

For five children with ages a < b < e ; any two successive ages differ by 2 years. What is the age off the youngest child? 1. Statement-I : The age of the eldest in 3 times the youngest. 2. Statement-2: The average age of the children is 8 years. Which one of the following is correct in respect of the above Question and the Statements?

If \(7 \oplus 9 \oplus 10 = 8\), \(9 \oplus 11 \oplus 30 = 5\), \(11 \oplus 17 \oplus 21 = 13\), what is the value of \(23 \oplus 4 \oplus 15\)?

If today is Sunday, then which day is it exactly on \(10^{10}\text{th}\) day?

If ‘ZERO’ is written as ‘CHUR’, then how is ‘PLAYER’ written?

In a party, 75 persons took tea, 60 persons took coffee and 15 persons took both tea and coffee. No one taking milk takes tea. Each person takes, at least one drink. How many persons attended the party? 1. 50 persons took milk. 2. Number of persons who attended the party is five times the number of persons who took milk only. Question and the Statements?

Is p greater than q? Statement-1: \(p \times q\) is greater than zero. Statement-2: \(p^{2}\) is greater than \(q^{2}\). Which one of the following is correct in respect of the above Question and the Statements?

Is \((p + q - r)\) greater than \((p - q + r)\), where p, q and rare integers? Statement-1: \((p - q)\) is positive. Statement-2: \((p - r)\) is negative. Which one of the following is correct in respect of the above Question and the Statements?

Let P, Q, R, S and T be five statements such that: 1. If P is true, then both Q and S are true. 2. If R and S are true, then T is false. Which of the following can be concluded? 1. If T is true, then at least one of P and R must be false. 2. If Q is true, then P is true. Select the correct answer using the code given below:

The letters of the word "INCOMPREHENSIBILITIES" are arranged alphabetically in reverse order. How many positions of the letter/letters will remain unchanged?

There are five person P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task -1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done?

What is the middle term of the sequence Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W, …., A?