ISSB - Pak Army Officer Selection Mathematics Geometry — Set 3

ISSB - Pak Army Officer Selection Mathematics Geometry — Set 3

1. Question 1

   Q1. Angle sum of triangle?

   • A) 90°
   • B) 180°
   • C) 270°
   • D) 360°

   Answer: 180°

   Explanation: Interior angles of any triangle sum to 180 degrees. Work each step carefully; ISSB math rewards accuracy under time pressure.

2. Question 2

   Q2. Diagonal of rectangle 3 by 4?

   • A) 5
   • B) 6
   • C) 7
   • D) 8

   Answer: 5

   Explanation: Pythagoras gives 9 plus 16 equals 25 so diagonal is 5. Apply the same method to similar ISSB quantitative items.

3. Question 3

   Q3. Perimeter of rectangle 8 cm by 5 cm?

   • A) 13 cm
   • B) 20 cm
   • C) 26 cm
   • D) 40 cm

   Answer: 26 cm

   Explanation: Perimeter is 2 times length plus width so 26 cm. Apply the same method to similar ISSB quantitative items.

4. Question 4

   Q4. Hypotenuse of right triangle legs 9 and 12?

   • A) 13
   • B) 14
   • C) 15
   • D) 16

   Answer: 15

   Explanation: By Pythagoras 81 plus 144 equals 225 so hypotenuse is 15. Apply the same method to similar ISSB quantitative items.

5. Question 5

   Q5. Surface area of cube side 5 cm?

   • A) 100 cm²
   • B) 125 cm²
   • C) 150 cm²
   • D) 175 cm²

   Answer: 150 cm²

   Explanation: Six faces each 25 square cm gives total 150 square cm. Apply the same method to similar ISSB quantitative items.

6. Question 6

   Q6. Area of circle radius 8 cm? (π = 3.14)

   • A) 50.24 cm²
   • B) 100.48 cm²
   • C) 200.96 cm²
   • D) 251.2 cm²

   Answer: 200.96 cm²

   Explanation: Area is πr² so 3.14 times 64 equals 200.96 square cm. Work each step carefully; ISSB math rewards accuracy under time pressure.

7. Question 7

   Q7. Radius of circle area 78.5 cm²? (π = 3.14)

   • A) 4 cm
   • B) 5 cm
   • C) 6 cm
   • D) 7 cm

   Answer: 5 cm

   Explanation: Area πr² equals 78.5 so r squared is 25 and r is 5.

8. Question 8

   Q8. Length of rectangle area 56 cm² width 7 cm?

   • A) 6 cm
   • B) 7 cm
   • C) 8 cm
   • D) 9 cm

   Answer: 8 cm

   Explanation: Length equals area divided by width so 56 divided by 7 is 8.

9. Question 9

   Q9. Sum of interior angles of quadrilateral?

   • A) 180°
   • B) 270°
   • C) 360°
   • D) 540°

   Answer: 360°

   Explanation: Interior angles of any quadrilateral sum to 360 degrees. Work each step carefully; ISSB math rewards accuracy under time pressure.

10. Question 10

    Q10. Diagonal of rectangle 6 by 8?

    • A) 9
    • B) 10
    • C) 11
    • D) 12

    Answer: 10

    Explanation: Pythagoras gives 36 plus 64 equals 100 so diagonal is 10. Work each step carefully; ISSB math rewards accuracy under time pressure.

11. Question 11

    Q11. Area of rectangle 11 cm by 7 cm?

    • A) 66 cm²
    • B) 70 cm²
    • C) 77 cm²
    • D) 84 cm²

    Answer: 77 cm²

    Explanation: Area is length times width so 11 times 7 equals 77. Work each step carefully; ISSB math rewards accuracy under time pressure.

12. Question 12

    Q12. Area of triangle base 14 cm height 5 cm?

    • A) 30 cm²
    • B) 35 cm²
    • C) 40 cm²
    • D) 70 cm²

    Answer: 35 cm²

    Explanation: Area is half base times height so 35 square cm. Work each step carefully; ISSB math rewards accuracy under time pressure.

13. Question 13

    Q13. Volume of cube side 4 cm?

    • A) 16 cm³
    • B) 32 cm³
    • C) 48 cm³
    • D) 64 cm³

    Answer: 64 cm³

    Explanation: Volume is side cubed so 4 times 4 times 4 equals 64.

14. Question 14

    Q14. Hypotenuse of right triangle legs 5 and 12?

    • A) 11
    • B) 12
    • C) 13
    • D) 14

    Answer: 13

    Explanation: By Pythagoras 25 plus 144 equals 169 so hypotenuse is 13. Work each step carefully; ISSB math rewards accuracy under time pressure.

15. Question 15

    Q15. Diagonal of square side 10 cm?

    • A) 10√2 cm
    • B) 15 cm
    • C) 20 cm
    • D) 25 cm

    Answer: 10√2 cm

    Explanation: Diagonal of square is side times square root of 2. Work each step carefully; ISSB math rewards accuracy under time pressure.

16. Question 16

    Q16. Area of circle radius 6 cm? (π = 3.14)

    • A) 37.68 cm²
    • B) 75.36 cm²
    • C) 113.04 cm²
    • D) 150.72 cm²

    Answer: 113.04 cm²

    Explanation: Area is πr² so 3.14 times 36 equals 113.04 square cm. Work each step carefully; ISSB math rewards accuracy under time pressure.

17. Question 17

    Q17. Sum of interior angles of pentagon?

    • A) 360°
    • B) 450°
    • C) 540°
    • D) 720°

    Answer: 540°

    Explanation: Interior angles of a pentagon sum to 540 degrees. Work each step carefully; ISSB math rewards accuracy under time pressure.

18. Question 18

    Q18. Area of parallelogram base 9 cm height 4 cm?

    • A) 32 cm²
    • B) 36 cm²
    • C) 40 cm²
    • D) 45 cm²

    Answer: 36 cm²

    Explanation: Area is base times height so 9 times 4 equals 36. Work each step carefully; ISSB math rewards accuracy under time pressure.

19. Question 19

    Q19. Perimeter of square side 11 cm?

    • A) 44 cm
    • B) 33 cm
    • C) 55 cm
    • D) 22 cm

    Answer: 44 cm

    Explanation: Perimeter is 4 times side so 4 times 11 equals 44 cm.

20. Question 20

    Q20. Area of rectangle 13 cm by 8 cm?

    • A) 91 cm²
    • B) 104 cm²
    • C) 117 cm²
    • D) 84 cm²

    Answer: 104 cm²

    Explanation: Area is length times width so 13 times 8 equals 104. Work each step carefully; ISSB math rewards accuracy under time pressure.