APRJC CET Mathematics Unofficial Answer Key 2025 OUT: Download set-wise PDF

APRJC CET Mathematics Unofficial Answer Key 2025

APRJC CET Mathematics Unofficial Answer Key 2025 : Candidates can check out APRJC CET Mathematics unofficial answer key 2025 for all sets on the page below, as the examination has concluded. Questions and answers have been provided for all subjects to help candidates evaluate their scores on the examination. The answer key is unofficial in nature, and hence, there might be a few errors. However, it can help applicants vaguely determine their performance. The official answer key will be released soon at aprs.apcfss.in , through which candidates can check the official answers. Till then, candidates can refer to this for clarity and decide on their next steps in their careers.

Also Read | APRJC CET Results Release Date 2025

APRJC CET Mathematics Unofficial Answer Key 2025

For all sets and groups, APRJC CET Mathematics unofficial answer key 2025 has been prepared for all subjects and is provided below. The total marks of the paper are 150, 50 marks assigned to English, 50 to Physical Science and 50 to group-specific subject. All questions carry 1 mark and are multiple-choice questions.

Sr.No. (Not Q. No)	Mathematics Question	Mathematics Answer
1	HCF of (2 3 x3 2 x5),(2 2 x3 3 x5 2 ) and (2 4 x3x5 3 x7) is	60
2	The HCF of two numbers is 27 and their LCM is l62.If one of the numbers is 54, what is the other number?	81
3	Observe the factor tree, then find the value of x + y+z.	3847
4	If one zero of the polynomial f(x)=(k 2 +4)x 2 +13x+4k is reciprocal of the other then k= ________.	2
5	Assertion (A): The polynomial p(x )=x 2 +3x +3 has two real zeroes. Reason (R): A quadratic polynomial can have at most two real zeroes. Now, choose the correct answer.	(A) is false, (R) is true.
6	If α and ß are the zeroes of the polynomial ax 2 -5x+c and α + ß = αß = 10 then	a=1, c=5/2
7	If the square of difference of the zeroes of the quadratic polynomial x 2 + px + 45 is equal  to 144, then the value of "p" is	±18
8	Which of the following pair of equations are inconsistent?	-2x +y=3, -4x + 2y = 10
9	The solution of the pair of equations x + y = a +b and ax- by = a 2 - b 2 is	x= a, y=b
10	In a triangle PQR,  ∠P = 2x°,  ∠Q= 7x°, ∠R= 2y° and 5x°-y° = 5° then ∆PQR is a ______ triangle.	Right scalene
11	The four angles of a cyclic quadrilateral ABCD in which ∠A = (2x-1)°, ∠B = (y+5)°, ∠C= (2y + 15)° and ∠D= (4x-7)° are	∠A= 65°, ∠B=55°, ∠C= 115°, ∠D= 125°
12	If the roots of the equation a(b-c)x 2 + b(c- a)x+ c(a- b) =0 are equal then,
13	A quadratic equation whose one root is 1+√2 and the sum of its roots is 2, is	x 2 - 2x-1 = 0
14	The perimeter of a rectangle is 82 m and its area is 400 m². The breadth of the rectangle	16 mtrs
15	Roots of the equation 9x 2 -6b 2 x-(a 4 -b 4 )=0
16	If the p th , q th and r th terms of an arithmetic progression are a, b and c respectively. Then the value of [a(q-r) +b(r-p)+c(p-q)]= ________.	0
17	If k, 2k-1 and 2k + 1 are three consecutive terms of an A.P., then the value of "k" is	3
18	Which term of the A.P. 5, 15, 25, ... will be 130 more than its 31 st term?	44
19	If the sum of first 'p' terms of an A.P. is (ap² + bp), then the common difference of thís A.P. is ____________.	2a
20	The area of AABC with vertices A(3, 0), B(7, 0) and C(7, 4) is ________square units.	8
21	The distance between the points is	1/2 units
22	If the line segment joining the points (3,-4) and (1, 2) is trisected at point P(a, -2) and Q(5/3,b) then	a=7/3, b= 0
23	If x <0 and y < 0 then point (-x 2 ,-y 2 ,) lies in _____ quadrant.	Q 2
24	The value of 'x' for which DE// BC in the triangle ABC is ________	4
25	From the figure, ∆ODC ~ ∆OBA, ∠BOC = 125° and ∠CDO = 70° then ∠0AB =	55°
26	From the figure, AB // CD // EE. If AB=6 cm. CD =x cm, EF = 10 cm, BD =4 cm and DE =y cm then y= ______ cm.
27	In the given figure E is the point of intersection of two chords AB and CD such that EB = ED and ∠AEC=45°. Then ∆EAC, ∆EDB are ______.	Isosceles and Similar
28	2(cos 4 60° + sin 4 30°)-(tan 2 60°+ cot 2 45°)+3sec 2 30° =	1/4
29	If ∆ABC is an isosceles right-angled triangle right-angled at B, then	1
30	If cosec 2 θ(1+ cos θ)(1- cos θ ) = λ then 3λ 2 + 5λ-2 = ____.	6
31		A=2,B=-1
32	If a pole 6 m high casts a shadow 2√3 m long on the ground, then the Sun's angle of elevation is ________.	60°
33	On the level ground, the angle of elevation of a tower is 30°. On moving 20 m nearer, the angle ofelevation is 60°. The height of the tower is ____ metres.	10√3
34	AB is a diameter of a circle centered at "O". .BC is a tangent to the circle at B. If OP bisects the chord AD and ∠AOP=60° then ∠C= ____	60°
35	A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively. Then the length of side AC = ______ cm.	13
36	XY and X' Y'are two parallel tangents to a circle with centre '0' and another tangent AB with point of contact C intersecting XY and X' Y' at A and B respectively then ∠AOB = _____	90°
37	Two concentric circles are of radii 10 cm and 6 cm. Then the length of the chord of the larger circle which touches the smaller circle is ____ cm.	16
38	In the given figure, ΔABC is right-angled at A. Semicircles are drawn on AB, AC and BC as diameters. It is given that AB =3 cm and AC =4 cm. The area of the shaded region is ______ cm 2 .	6
39	If the perimeter of the quadrant of a circle is 25 cm, then its area is ____ cm 2 .	154
40	Match the following:	a-ii, b-i, c-iv, d-ii
41	The hour hand of a clock is 6 cm long. The angle made by it between 7:20 AM and 7:55 AM is
42	"O" is the centre of the circle. The area of the segment PAO is
43	The median and mode of a frequency distribution are 26 and 29 respectively. Then the mean is	24.5
44	If the median of the data 4, 7, x -1,x-3, 16, 25, written in ascending order, is 13 then x²- 5x +6= ______	15
45	The mean of 2, 7, 6 and x is 15 and the mean of 18, 1, 6,x and y is 10 then	5/13
46	Three coins are tossed simultaneously. What is the probability of getting exactly two heads?	3/8
47	One card is drawn at random from a.well-shuffled deck of 52 cards. What is the difference of the probabilities of getting a face card and getting a black face card?	3/26
48	If tanx = 3 cotx then x= _______ (0°≤x° ≤90°)	60°
49	If 35 is removed from the data 30, 34, 35, 36, 37,38, 39, 40, then the median increased by	0.5
50	A number is selected at random from first 50 natural numbers. Then the probability that it is a multiple of 3 and 4 is	2/25

Candidates can assign themselves 1 mark for each right answer, and add all marks at the end to know their score out of 150. There is no negative marking in the examination. Those who pass the examination will be able to sit for the counselling round and seek admission to the Mathematics (English, Physical Science, Biological Science) group of intermediate courses at Andhra Pradesh Residential Junior Colleges based on the availability of seats.

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