IBA STS 05-15 Intermediate Category Past Paper Dated: 08-02-2026 Morning Shift

41- Select the rational number from the following:

A. √3
B. π
C. 7/3
D. e

Answer : C. 7/3

42- The square of (-7) is:

A. -7
B. 7
C. -49
D. 49

Answer : D. 49

43- If we round off the decimal 3.8461 up to two decimal places, we get:

A. 3.84
B. 3.81
C. 3.86
D. 3.85

Answer : D. 3.85

44- √36/49 =

A. 6/5
B. 36/49
C. 1
D. 6/7

Answer : D. 6/7

45- If 1, 9, x and 45 are in proportion, then the value of x is:

A. 10
B. 1
C. 4
D. 5

Answer : D. 5

46- If the sum of the first 5 terms of an AP is 75 and the first term is 5, the common difference is:

A. 2
B. 3
C. 5
D. 4

Answer : C. 5

47- If one value is increasing and another value decreases in the same proportion, it is:

A. Direct proportion
B. Inverse proportion
C. Equation
D. Proper fraction

Answer : B. Inverse proportion

48- For any two real numbers a and b, the x + y = y + x is:

A. Commutative property
B. Associative property
C. Additive inverse
D. Additive identity

Answer : A. Commutative property

49- Associative property of the Union states that:

A. (A ∪ B) ∪ C
B. (A ∪ B) + (A ∪ C)
C. A ∩ (B ∪ C)
D. A ∩ (B ∩ C)

Answer : A. (A ∪ B) ∪ C

50- The nth term of an arithmetic progression (AP) is:

A. aₙ = a + (n – 1)d
B. aₙ = a × rⁿ⁻¹
C. aₙ = n/2(a + l)
D. aₙ = a × r

Answer : A. aₙ = a + (n - 1)d

51- A square plot has an area of 625m². The length of the square plot will be:

A. 625^¹⁄₈
B. 25⁶
C. 25
D. 5

Answer : C. 25

52- The area of a triangular garden is 72x² - 18. The length of the garden will be:

A. 36x – 9
B. 6x – 3
C. 24x + 6
D. 36x² – 9

Answer : B. 6x - 3

53- Abdul Hameed invested a principal amount of Rs. 200,000 at the simple interest rate of 5% per year. After two years, Abdul Hameed will have:

A. Rs. 202,000
B. Rs. 220,000
C. Rs. 202,200
D. Rs. 20,000

Answer : B. Rs. 220,000

54- A track exactly 20km long is represented by 5cm on a map, an 80km long road in reality can be mapped as:

A. 10cm
B. 15cm
C. 20cm
D. 25cm

Answer : C. 20cm

55- The difference between the area of a 5cm square garden and a 3cm by 6cm rectangle garden is:

A. 6cm²
B. 7cm²
C. 8cm²
D. 9cm²

Answer : B. 7cm²

56- Sanam is 13 years older than Farha, 3 years from now, the sum of their ages will be 33. The age of Sanam after 3 years will be:

A. 7
B. 10
C. 20
D. 23

Answer : D. 23

57- Hassan travels 60 km in 50 minutes, then travels a further 40 km in 25 minutes. His average speed is:

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h

Answer : D. 80 km/h

58- Four brothers earn $45, $26, $33 and $41 per hour. The range of their per-hour income is:

A. $4
B. $12
C. $19
D. $20

Answer : C. $19

59- An aeroplane is seen at an angle of elevation of 30° from the ground, and the distance between the observer and the plane is 150. The height of the plane is:

A. 75√3
B. 75√2
C. 75
D. 150

Answer : C. 75

60- The perimeter of a rectangular field is 180m, and the area of the field is 2000m². The length of the field will be:

A. 50m
B. 80m
C. 90m
D. 100m

Answer : A. 50m

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