Puducherry Assistant Exam 2025 Tire - 2 Answer Keys 1 10

Puducherry Assistant Exam 2025 Tire - 2 Answer Keys 1-10
Government of Puducherry
Puducherry Assistant Examination 2025 Tire - 2 Answer Keys 1-10
Answer keys for Assistant Examination 2025 Puducherry Tire - 2 Answer Keys 1-10
Question 1
From a point Q, the length of tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm.
The radius of the circle is:
(A) 14 cm
(B) 7 cm
(C) 15 cm
(D) 12 cm
Correct Answer: (B) 7 cm
Solution: Using the tangent-chord theorem: tangent2 + radius2 = distance from center2 242 + r2 = 252 576 +
r2 - 625 r2 - 49 r - 7 cm
Question 2
The radius of a circle is two-third of the side of a square whose perimeter is 84 cm. What is the
circumference of the circle?
(A) 84 cm
(B) 88 cm
(C) 92 cm
(D) 96 cm
Correct Answer: (B) 88 cm
Solution: Perimeter of square = 84 cm, so side - 21 cm Radius = (2/3) * 21 = 14 cm Circumference = 2m =
2ti x 14 = 28n = 88 cm
Question 3
Surya, Suresh and Suraj can complete a work alone in 40 days, 60 days and 24 days respectively. In how
many days all three together can complete the work?
(A) 10 days
(B) 12 days
(C) 15 days
(D) 18 days
Correct Answer: (B) 12 days
Solution: Work rates: 1/40 + 7/60 + 1/24 LCM of 40, 60, 24 = 720 Combined rate = 3/120 + 2/720 + 5/720
= 70/720 = 7/72 Time = 12 daysQuestion 4
The value of (0.86)3 + (0.14)3 / (0.86)2 - 0.86 x 0.14 + (0.14)2 is:
(A) 0.1
(B) 1
(C) 10
(D) None of these
Correct Answer: (B) 1
Solution: This is in the form (a3 + b3)/(a2 - ab + b2) = a + b Where a = 0.86, b = 0.14 So the answer = 0.86
+ 0.14=1
Question 5
Mr. Ramesh picked up a prime number from the set of first 20 natural numbers. What is the probability
that it is 7?
(A) 1/20
(B) 1/19
(C) 2/7
(D) 1/8
Correct Answer: (D) 1/8
Solution: Prime numbers in first 20 natural numbers: 2, 3, 5,7, 11, 13, 17, 19 (8 numbers) Probability of
selecting 7 = 1/8
Question 6
A coin is tossed three times. What is the probability of getting all tails or all heads?
(A) 1/3
(B) 2/5
(C)4/9
(D) 1/4
Correct Answer: (D) 1/4
Solution: Total outcomes = 23 = 8 Favorable outcomes = 2 (all heads or all tails) Probability = 2/8 = 1/4
Question 7
If the ratio of numbers is 1 : 2 : 3 and sum of their squares is 504, then the numbers are:(A) 3, 6, 9
(B) 6, 12, 18
(C) 4, 8, 12
(D) 5, 10, 15
Correct Answer: (B) 6, 12, 18
Solution: Let numbers be x, 2x, 3xx2 + (2x)2 + (3x)2 = 504 x2 + 4x2 + 9x2 = 504 14x2 = 504 x2 = 36, x = 6
Numbers are 6, 12, 18
Question 8
In a 40 litres mixture of glycerine and water, the ratio of glycerine and water is 3 : 1. The quantity of water
added to the mixture in order to make this ratio 2 : 1 is:
(A) 10 litres
(B) 15 litres
(C) 8 litres
(D) 5 litres
Correct Answer: (D) 5 litres
Solution: Initial glycerine = 30L, water = 10L Let x litres water be added New ratio: 30/(10+x) = 2/1 30 =
2(10+x) 30 = 20+2xx = 5 litres
Question 9
A wire in the form of a rectangle of length 7 m and breadth 4 m is bent to form a circle. What is the area
of the circle?
(A) 35 sq. m.
(B) 38.5 sq. m.
(C) 42 sq. m.
(D) 45.5 sq. m.
Correct Answer: (B) 38.5 sq. m.
Solution: Perimeter of rectangle = 2(7+4) = 22 m This becomes circumference of circle = 22 m 2m = 22, r =
22/(2tt) = 7/n Area = m2 = n x (7/n)2 = 49/n « 15.6 sq. m Wait, let me recalculate: r = 11/n, Area = n x
(11/n)2= 121/n* 38.5 sq.m
Question 10
Find the area of a regular hexagon inscribed in a circle of radius 16 cm:
(A) 216V3 sq. cm.
(B) 384V3 sq. cm.(C) 786 sq. cm.
(D) 1152 sq.cm.
Correct Answer: (B) 384V3 sq. cm.
Solution: Area of regular hexagon = (343/2) x r2 = (343/2) * 162 = (343/2) x 256 = 38443 sq. cm
condition

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