ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
SI unit of volume is :
A)
Litre
B)
Cubic meter
C)
Gallon
D)
Millilitre
Option B is correct: Cubic meter.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
A cubic rock measuring 30cm on each sides has a volume of 27000 cm3. Its density is 2.8 g/cm3. Find the weight.
A)
86Kg
B)
72.6 Kg
C)
75.6Kg
D)
74.2 Kg
Option C is correct: 75.6Kg.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Below is a statement:
I. Density is the mass per unit volume of a substance while Specific gravity is the ratio of density of a substance to that of water
II. Specific gravity is a relative measure while density is an absolute physical property.
III. Unit of density is kg/m3 while unit of specific gravity is g/mL3.
Choose the correct one:
A)
Only I and II
B)
All are correct
C)
Only II is correct
D)
Only III is correct
Option A is correct: Only I and II.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the largest 3 digits number which is a perfect square.
A)
999
B)
981
C)
961
D)
900
Option C is correct: 961.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the value of 3(1 + tan²A) – 3tan²A
A)
0
B)
2
C)
3
D)
4
Option C is correct: 3.
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.
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)
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)
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)
If a circular-cricket pitch has a radius of 14m. Then to make a line on the boundary, how long a rope will be needed:
A)
100 m
B)
88 m
C)
96 m
D)
72 m
Option B is correct: 88 m.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the area of a triangle whose base and height measures 8cm and 6cm respectively.
A)
24 cm2
B)
26 cm2
C)
20 cm2
D)
28 cm2
Option A is correct: 24 cm2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Water and milk is mixed in a ratio 2 : 3 respectively. If the quantity of milk is 75 ltrs, then the quantity of water is:
A)
40 ltrs
B)
50 ltrs
C)
45 ltrs
D)
60 ltrs
Option B is correct: 50 ltrs.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The perimeter of a semi-circle of radius 21cm is:
A)
109 cm
B)
100 cm
C)
108 cm
D)
98 cm
Option C is correct: 108 cm.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
An object weighs 306g and can fills a 22.5mL container. Find its density.
A)
15.5 g/mL
B)
13.6 g/mL
C)
14.2 g/mL
D)
11.3 g/mL
Option B is correct: 13.6 g/mL.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Where will the centre of gravity be of a uniform rod?
A)
at its end
B)
at its middle point
C)
at its centre of its cross sectional area
D)
depends upon its material
Option B is correct: at its middle point.
