UPSC (Prelims) 2023 Logical Reasoning Medium Questions

Question: Is p greater than q?
Statement-1: p × q is greater than zero.
Statement-2: p² is greater than q².
Which one of the following is correct in respect of the above Question and the Statements?

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

Let P, Q, R, S and T be five statements such that:
I. If P is true, then both Q and S are true.
II. 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:

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

Consider the following:
I. A + B means A is neither smaller nor equal to B.
II. A – B means A is not greater than B.
III. A × B means A is not smaller than B.
IV. A ÷ B means A is neither greater nor equal to B.
V. A ≡ B means A is neither smaller nor greater than B.
Statement: P ÷ Q, P – T, T ÷ R, R ≡ S
Conclusion-1: Q ÷ T
Conclusion-2: S + Q
Which one of the following is correct in respect of the above Statement and the Conclusions?

There are large number of silver coins weighing 2 gm, 10 gm, 25 gm, 50 gm each. Consider the following statements:

1. To buy 78 gm using these coins one must buy at least 7 coins.
2. To weigh 78 gm using these coins one can use less than 7 coins.
   Which of the statements given above is/are correct?

For five children with ages a < b < c < d < e; any two consecutive ages differ by 2 years.
Question: What is the age of the youngest child?
Statement-1: The age of the oldest is 3 times the youngest.
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?

Consider a 3-digit number.
Question: What is the number?
Statement-1: The sum of the digits of the number is equal to the product of the digits.
Statement-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?

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

Question: Is (p + q + r) greater than (p – q + r), where p, q and r are 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?

Three of the following five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following:

1. p + q + r − s − t is definitely even.
2. 2p + q + 2r − 2s + t is definitely odd.
   Which of the above statements is/are correct?

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

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?

Choose the group which is different from the others:

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/persons?

If 'ZERO' is written as 'CHUK', then how is 'PLAYER' written?

If 7 ⊕ 9 ⊕ 10 = 8, 9 ⊕ 11 ⊕ 17 = 5, 11 ⊕ 17 ⊕ 21 = 13, what is the value of 23 ⊕ 4 ⊕ 15?

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

Consider the following in respect of prime number p and composite number c:

1. p + c / (p − c) can be even.
2. 2p + c can be odd.
3. pc can be odd.
   Which of the statements given above are correct?