TS Police PC 2021 previous year paper practice · PYQ-pattern set

TS Police PC 2021 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 · Arithmetical Reasoning

   The sum of ages of 5 children born at intervals of 3 years is 65 years. What is the age of the youngest child?

   • A. 5 years
   • B. 7 years
   • C. 8 years
   • D. 11 years
   Answer and solution

   Answer: B

   Let the youngest child's age be x. Ages will be x, x+3, x+6, x+9, x+12. Sum = 5x + 30 = 65, thus 5x = 35, so x = 7 years.

2. Q2 · Syllogism

   Statements: All pens are books. Some books are papers. Conclusions: I. Some pens are papers. II. Some papers are books. Which conclusion(s) follow?

   • A. Only I follows
   • B. Only II follows
   • C. Both I and II follow
   • D. Neither I nor II follows
   Answer and solution

   Answer: B

   From 'Some books are papers,' we can conclude 'Some papers are books' (convertible). But we cannot conclude 'Some pens are papers' because the relationship between pens and papers is not established.

3. Q3 · Average

   The average of five numbers is 48. If one number 56 is excluded, what is the average of the remaining four numbers?

   • A. 46
   • B. 44
   • C. 50
   • D. 52
   Answer and solution

   Answer: A

   Total of 5 numbers = 48 × 5 = 240. After excluding 56, total = 240 - 56 = 184. New average = 184 / 4 = 46.

4. Q4 · Percentage

   A candidate scores 45% marks and fails by 35 marks. Another candidate scores 60% and gets 25 marks more than the passing marks. What are the maximum marks?

   • A. 400
   • B. 350
   • C. 300
   • D. 450
   Answer and solution

   Answer: A

   Let max marks = M. Then 0.60M - 0.45M = 35 + 25 = 60. So 0.15M = 60, M = 400.

5. Q5 · Spatial Orientation

   Ravi walks 5 km towards North, then turns right and walks 3 km, then turns right again and walks 5 km. How far is he from his starting point?

   • A. 3 km
   • B. 5 km
   • C. 8 km
   • D. 13 km
   Answer and solution

   Answer: A

   After walking North 5 km, right 3 km, and right again 5 km (South), Ravi is directly 3 km East of his starting point.

6. Q6 · Verbal and Figural Classification

   Find the odd one out from the following:

   • A. Triangle
   • B. Square
   • C. Rectangle
   • D. Circle
   Answer and solution

   Answer: D

   Triangle, Square, and Rectangle are all polygons with straight sides, whereas Circle is a curved figure. Circle is the odd one out.

7. Q7 · Syllogism

   Statements: All pencils are boxes. Some boxes are pens. No pen is a ruler. Conclusions: I. Some pencils are pens. II. No ruler is a box.

   • A. Only conclusion I follows
   • B. Only conclusion II follows
   • C. Either I or II follows
   • D. Neither I nor II follows
   Answer and solution

   Answer: D

   Conclusion I does not necessarily follow because 'some boxes are pens' does not guarantee that those boxes are pencils. Conclusion II does not follow because we don't know the relationship between rulers and boxes.

8. Q8 · Arithmetic and Non-Verbal Series

   Find the missing term in the series: 2, 6, 12, 20, 30, ?

   • A. 40
   • B. 42
   • C. 44
   • D. 48
   Answer and solution

   Answer: B

   The series represents n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42.

9. Q9 · Average

   The average of five numbers is 64. If one number is excluded, the average becomes 60. What is the excluded number?

   • A. 80
   • B. 84
   • C. 76
   • D. 72
   Answer and solution

   Answer: A

   Sum of 5 numbers = 5 × 64 = 320. Sum of 4 numbers = 4 × 60 = 240. Excluded number = 320 − 240 = 80.

10. Q10 · Simplification

    What is the value of (0.8 × 0.8 × 0.8 + 0.2 × 0.2 × 0.2) ÷ (0.8 × 0.8 − 0.8 × 0.2 + 0.2 × 0.2)?

    • A. 0.6
    • B. 1.0
    • C. 1.2
    • D. 0.8
    Answer and solution

    Answer: B

    Using a³ + b³ = (a + b)(a² − ab + b²), numerator = (0.8 + 0.2)(0.8² − 0.8×0.2 + 0.2²) = 1.0 × denominator. Answer = 1.0.