ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the volume of a cuboid whose length, breadth and height is 7cm, 5cm and 4cm respectively.
A)
140 cm3
B)
150 cm3
C)
130 cm3
D)
135 cm3
Option A is correct: 140 cm3.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The diagonals of a square measures 10 cm, then the area is:
A)
10 cm2
B)
20 cm2
C)
50 cm2
D)
100 cm2
Option C is correct: 50 cm2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
If a cuboid has length 9cm, breadth 6cm and height 4cm, find the lateral surface area.
A)
100 cm2
B)
105 cm2
C)
120 cm2
D)
110 cm2
Option C is correct: 120 cm2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the value of 4sin²A + 4cos²A
A)
0
B)
3
C)
2
D)
4
Option D is correct: 4.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The diagonals of a square is 8cm. Find the sides of the square.
A)
6 cm
B)
4√2 cm
C)
√8 cm
D)
2√4 cm
Option B is correct: 4√2 cm.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
If there was a 15% reduction in a price of an article, then the price had reduced to Rs 408, find the original price.
A)
Rs. 450
B)
Rs. 460
C)
Rs. 470
D)
Rs. 480
Option D is correct: Rs. 480.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The formula to find the area of a ellipse in which p= length of semi-major axis and q=semi-minor axis:
A)
πp2q2
B)
πpq
C)
πpq/2
D)
πpq/4
Option B is correct: πpq.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
If the perimeter of a rectangle and square are equal, then their area is :
A)
Square is larger
B)
Rectangle is larger
C)
Both are equal
D)
Can’t be determine
Option A is correct: Square is larger.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Solve : sin 120° - cos 120°
A)
(3+1)/4
B)
(3+1)/2
C)
1
D)
0
Option B is correct: (3+1)/2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The area of a rectangle is 96cm2. If the length measures 12cm, then the breadth is:
A)
9 cm
B)
8 cm
C)
12 cm
D)
10 cm
Option B is correct: 8 cm.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
If Rs.3,000 is divided among 3 boys in the ratio 3 : 5 : 7. Then, the largest share is:
A)
Rs.1,500
B)
Rs.1,600
C)
Rs.1,300
D)
Rs.1,400
Option D is correct: Rs.1,400.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the curved surface area of a cylinder whose height and radius measures 12cm and 7cm respectively.
A)
84cm2
B)
428cm2
C)
324cm2
D)
528cm2
Option D is correct: 528cm2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The perimeter of a square measures 32cm. Find the length of the diagonal.
A)
8 cm
B)
8√2 cm
C)
8√5 cm
D)
8/√2 cm
Option B is correct: 8√2 cm.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
If the volume of a cube and a cuboid are equal, then their total surface areas will be:
A)
Cube is larger
B)
Cuboid is larger
C)
Both are equal
D)
Can’t be determine
Option D is correct: Can’t be determine.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
In a right triangle, the adjacent side is 12 units and the hypotenuse is 13 units. Find the cosine (cos) of the angle B.
A)
12/13
B)
12/213
C)
12/213
D)
12/13
Option A is correct: 12/13.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
A cylindrical cup of height 21cm and 5cm radius can carry soda of ________. (1cm3=1ml)
A)
1500ml
B)
1650ml
C)
1720ml
D)
1660ml
Option B is correct: 1650ml.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the area of a semi-circle whose radius is 14cm.
A)
282 cm2
B)
302 cm2
C)
308 cm2
D)
314 cm2
Option C is correct: 308 cm2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
A ladder leaning against a wall makes an angle of 60° with the ground. If the foot of the ladder is 4 m away from the wall, find the length of the ladder.
A)
4 m
B)
6 m
C)
8 m
D)
10 m
Option C is correct: 8 m.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
A vertical post of height 21m is broken at certain height, bending and its top reach the floor making an angle of 30° with the ground. Find the height at which the post is broken.
A)
7 m
B)
5 m
C)
6 m
D)
8 m
Option A is correct: 7 m.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
If A : B = 4 : 9, B : C = 12 : 15, then A : B : C =
A)
16 : 36 : 45
B)
8 : 12 : 40
C)
12 : 24 : 45
D)
14 : 30 : 48
Option A is correct: 16 : 36 : 45.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
60% of the population polls votes in a Municipal Corporation election. The total population was 750000. 90% total votes are valid, find the total number of valid votes.
A)
350000
B)
405000
C)
307000
D)
501000
Option B is correct: 405000.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
If 14% of 350 - x = 30. The value of x is:
A)
20
B)
30
C)
60
D)
80
Option C is correct: 60.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the total surface area of a cuboid whose length, breadth and height are 8cm, 6cm and 3cm respectively.
A)
180 cm2
B)
160 cm2
C)
200 cm2
D)
270 cm2
Option A is correct: 180 cm2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the perimeter of a rectangle whose diagonal and breadth measures 5cm and 3cm respectively.
A)
12cm
B)
13cm
C)
14cm
D)
15cm
Option C is correct: 14cm.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The top of a building is projected from the ground at an angle 60° at 7√3m away from the foot of the building. Find the height of the building.
A)
19 m
B)
20 m
C)
21 m
D)
24 m
Option C is correct: 21 m.
