TS Police PC 2022 previous year paper practice · PYQ-pattern set

TS Police PC 2022 PYQ-pattern questions

Showing 10 of the 17 PYQ-pattern questions in this set — freshly worded in that year's pattern, not the original questions. Answers and solutions open under each question.

1. Q1 · Spatial Visualization

   If a cube is painted red on all faces and then cut into 64 smaller identical cubes, how many cubes will have exactly two faces painted?

   • A. 8
   • B. 12
   • C. 24
   • D. 32
   Answer and solution

   Answer: C

   The cubes with exactly two faces painted are located along the edges but not at the corners. For a 4×4×4 cube, there are 12 edges × 2 cubes per edge = 24 cubes.

2. Q2 · Analogies

   Complete the analogy: 16 : 56 :: 32 : ?

   • A. 96
   • B. 112
   • C. 120
   • D. 128
   Answer and solution

   Answer: B

   The pattern is n × (n-1)/2 × 7. For 16: 16 × 15/2 = 120, but checking ratio: 16:56 = 1:3.5. So 32 × 3.5 = 112.

3. Q3 · Order and Ranking

   In a class of 45 students, Sita ranks 12th from the top. What is her rank from the bottom?

   • A. 33
   • B. 34
   • C. 35
   • D. 32
   Answer and solution

   Answer: B

   Rank from bottom = Total students - Rank from top + 1 = 45 - 12 + 1 = 34.

4. Q4 · Arithmetic and Non-Verbal Series

   What will come in place of the question mark? AZ, CX, FU, JQ, ?

   • A. OL
   • B. OM
   • C. PM
   • D. PL
   Answer and solution

   Answer: A

   First letter: A(+2)C(+3)F(+4)J(+5)O. Second letter: Z(-2)X(-3)U(-4)Q(-5)L. So the answer is OL.

5. Q5 · Number System

   The sum of two numbers is 84 and their HCF is 12. How many such pairs of numbers are possible?

   • A. 2
   • B. 3
   • C. 4
   • D. 1
   Answer and solution

   Answer: B

   Let numbers be 12a and 12b with gcd(a,b)=1. Sum: 12(a+b)=84, so a+b=7. Coprime pairs summing to 7: (1,6),(2,5),(3,4) — all are coprime. Thus 3 pairs.

6. Q6 · Spatial Visualization

   If a cube is painted red on all faces and then cut into 64 smaller identical cubes, how many of the smaller cubes will have exactly one face painted?

   • A. 24
   • B. 32
   • C. 16
   • D. 8
   Answer and solution

   Answer: A

   When a cube is cut into 64 smaller cubes, it forms a 4×4×4 arrangement. Cubes with exactly one face painted are on the face centers: 6 faces × 4 cubes per face = 24 cubes.

7. Q7 · Analogies

   Select the option that is related to the third term in the same way as the second term is related to the first term: 16 : 68 :: 25 : ?

   • A. 105
   • B. 125
   • C. 130
   • D. 150
   Answer and solution

   Answer: C

   16 = 4², and 68 = 4³ + 4 = 64 + 4. Similarly 25 = 5², so answer = 5³ + 5 = 125 + 5 = 130.

8. Q8 · Order and Ranking

   In a class of 42 students, Meena ranks 15th from the top. What is her rank from the bottom?

   • A. 26
   • B. 27
   • C. 28
   • D. 29
   Answer and solution

   Answer: C

   Rank from bottom = Total students - Rank from top + 1 = 42 - 15 + 1 = 28.

9. Q9 · Non-Verbal Reasoning

   A square paper is folded twice and a hole is punched. When unfolded, how many holes will appear?

   • A. 2
   • B. 4
   • C. 6
   • D. 8
   Answer and solution

   Answer: B

   Each fold doubles the number of layers. Two folds create 4 layers, so one punch creates 4 holes when unfolded.

10. Q10 · Number System

    If the product of two consecutive even numbers is 528, what is the smaller number?

    • A. 20
    • B. 22
    • C. 24
    • D. 26
    Answer and solution

    Answer: B

    Let numbers be x and x+2. x(x+2) = 528. Solving x² + 2x − 528 = 0 gives x = 22.