Name of the Centre : Rajasthan Public Service Commission
Name Of The Exam : RPSC Sr Teacher GR II Mathematics Exam
Name Of The Subject : Mathematics
Document type : Sample questions Papers
Year : 2017
Website : https://rpsc.rajasthan.gov.in/PreviousQuestionPapers.aspx
Download Sample Question Paper : https://www.pdfquestion.in/uploads/13155-Maths.pdf
RPSC Sr Teacher GR II Mathematics Exam Question Paper :
Instructions For Candidates :
** Answer all questions.
** All questions carry equal marks.
Related : RPSC Sr Teacher GR II Science Exam Question Paper : www.pdfquestion.in/13152.html
** Only one answer is to be given for each question.
** If more than one answers are marked, it would be treated as Wrong answer:
** Each question has four alternative responses marked serially as 1, 2, 3, 4. You have to darken only one circle of bubble indicating the correct answer on the Answer, sheet using Blue ball Point pen.
** The OMR Answer Sheet is inside this Test Booklet.
** When you are directed to open the Test Booklet.
** Take out the Answer Sheet and fill in the particulars carefully.
** with blue ball point pen only.
** 1/3 part of the mark(s) of each (Question will be deducted for each wrong answer. (A wrong answer means an incorrect answer or more than one answers for any question. Leaving all the relevant circles or bubbles of any question blank will not be considered as wrong answer.)
** The candidate should ensure that Question Paper Booklet No. of the Question Paper Booklet and Answer Sheet must be same after opening the polythene bag/scale.
** In case they are different, a candidate must obtain another Question Paper.
** Candidate himself shall be responsible for ensuring this.
** Mobile Phone or any other electronic gadget in the examination hall is strictly prohibited.
** A candidate found with any of Such objectionable material with him/her will be strictly dealt as per rules.
Ques #:1
(1 + 2 + i + 15) (1+2+ 1+2+ + (15) +15)
l) 1
2) 31
3) 62
4) 3 1/2
Ques#:2
The variance of binomial distribution is –
l) always equal to its mean
2) less than from its mean
3) greater than from its mean
4) None of these
Ques #:3
The probabilities of dicing Mr. A and Mr. B in a leap year are p and q. In the end of year the probability of living of only one out of two, is equal to
l) p – q – pc.
2) pd
3) p + q – 2 pc
4) p + q + pc
Ques #:4
A bag contains 8 white and 6 red balls. 5 balls are drawn randomly from the bag, the probability that 3 or more balls are white, is equal to
1) 317 / 1001
2) 658 / 100
3) 210 / 1001
4) None of these
Ques #:5
n persons sit around a round table. The odds in favour that two particular persons sit together, is equal to
1) 2: (n-3)
2) 2: (n-2)
3) 2: (n-1)
4) 2: in
Ques #:6
A die is thrown 8 times. The probability of occuring third time 6 in eighth throw, is equal to-
1) (7c x 55) 66
2) (7c, X5) 62
3) (7c, x 55) 68
4) None of these
Ques #:7
The probability of winning a game by the team A is 2/3. If A plays four games, then the probability of will ning more than half of the gaines, is equal to
1) 16/27
2) 19 / 27
3) 19 / 81
4) 32 / 81
Ques #:8
Let a , (3 be the roots of the equation ax + bx + c = 0. If A = b – 4ac and a + (3, a + 6, a + (3 are in G.P., then
l) A – O
2) bA= 0
3) CAF O
4) CA – O
Ques #:9
lf Cz, B, y are unequal real numbers, then the three points, whose position vectors area i + Bj +yk, Bi + yj + ak and y + aj + (8k are
l) collinear
2) vertices of equilateral triangle
3) Vertices of isoceles triangle
4) Vertices of right angle triangle
Ques #: 10
di. ( b + c) X (di + b + c) equals to
l) a-b
2. a=b
3) d-ba
4) None of these
Ques #:11
If d and b be two such unit vectors that di + 2 b and 5d – 4 b are mutually perpendicular then angle between d and b is equal to
l) 450
2) 6Oo
3) cos 3
4) 2cos 3
Ques #: 12
if a 5 and c be unit vectors and |a = b |2 = b – 6 |2 = a – a 12 = 9, then 2a + 55 +56 equals to –
l) 3
2) 4
3) 6
4) 8
Ques H. : 13
A well with 14 metres inside diameter is dug 8 metres deep. Sand taken out of it has been evenly spread all around it to a width of 21 metres to form an embankment. The height of embankment is equal to-
l) 43 cm
2) 47.6 cm
3) 53.3 cm
4) 4 cm
Ques #:14
If the volumes of two cones are in the ratio 1 : 4 and their diameters are in ratio 4: 5, then the ratio of their heights is –
1) 1: 5
2) 5:4
3) 5:16
4) 25: 64
Ques #:15
A cylinderical vessel 60 cm in diameter is partially filled with water. A sphere, 30 cm in diameter is gently dropped into the vessel. To what further height will water in the cylinder rise ?
l) 40 cm
2) 15 cm
3) 3.75 cm
4) cannot be determined, since height of the cylinder has not been given.