ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the longest rod that can be placed inside a cuboid of dimensions 10m, 8m and 6m respectively.
A)
9√2m
B)
12√2m
C)
10√2m
D)
15√2m
Option B is correct: 12√2m.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the least number which must be divided from 1250 to make it a perfect square.
A)
2
B)
3
C)
4
D)
5
Option A is correct: 2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
If a man walks 40 m towards right, stop turns left and then walks 30 m. What is the distance from his original position?
A)
20 m
B)
50 m
C)
60 m
D)
45 m
Option B is correct: 50 m.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The difference between the squares of 13 and 5 is equal to the square of:
A)
6
B)
8
C)
9
D)
12
Option B is correct: 8.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Which is the application of specific gravity?
I. Mineral content of rocks
II. Purity of gemstones
III. Study urine concentration
A)
Only I
B)
Both I and III
C)
I, II and III
D)
None
Option C is correct: I, II and III.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The centre of gravity of a circle lies at:
A)
centre
B)
anywhere on its radius
C)
anywhere on its circumference
D)
anywhere on its diameter
Option A is correct: centre.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The Circumference of a circle measures 44cm. Find the area.
A)
145cm2
B)
154 cm2
C)
165 cm2
D)
156 cm2
Option B is correct: 154 cm2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the lateral surface area of a hexagonal vessel whose side measures 3cm and height measures 8cm.
A)
120 cm2
B)
130 cm2
C)
124 cm2
D)
144 cm2
Option D is correct: 144 cm2.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
The population of an area increases from 40000 to 48000, the increase percentage is:
A)
20%
B)
25%
C)
24%
D)
28%
Option A is correct: 20%.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Find the amount of water that can be filled inside a cone of height 180cm and diameter 140cm (1000cm3=1ltr).
A)
1000ltr
B)
940ltr
C)
934ltr
D)
924ltr
Option D is correct: 924ltr.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
Given the statement :
I. Centre of mass is a point at which the entire mass of the body is supposed to be concentrated while centre of gravity is a fixed point at which the entire weight of the body acts.
II. Centre of mass of a body is used to study the motion of the whole body while Centre of gravity is generally used to study the stability of a body.
Choose the correct answer.
A)
Only I is true
B)
Only II is true
C)
Both I & II are true
D)
Both are false
Option C is correct: Both I & II are true.
ITI Instructor • 2026 • Paper-III (Workshop Calculation & Science - Technical Paper-I)
In a right angled triangle, if the base and perpendicular are equal (i.e. 8cm each), then the hypothenuse is equal to:
A)
16 cm
B)
12 cm
C)
2√8 cm
D)
8√2 cm
Option D is correct: 8√2 cm.
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.
