RPSC – Assistant – Conservator – of – Forest – Mathematics – Paper – 2011
| Sr. No | Questions with multiple options |
| 1. | For positive integers a and b gcd (a, b) lcm (a, b) equals
(a) a + b (b) ab (c) a – b (d) a/b |
| 2. | Square of any integer can be of the form
(a) 3k only, k is an integer (b) (3k + 1) only, k is an integer (c) 3k or (3k+1) is an integer (d) (3k+2), k is an integer |
| 3. | Number 1571724 is not divisible by which of the following numbers?
(a) 4 (b) 6 (c) 8 (d) 11 |
| 4. | bc(b – c) + ca(c-a) + ab (a-b) equals
(a) (b+c)(c+a)(a+b) (b) –(b-c) (c-a) (a-b) (c) –(b+c) (c+a) (a+b) (d) (b-c) (c-a) (a-b) |
| 5. | If A, G and H are respectively A.M., GM. And H.M. between two terms a and b, then
(a) G > H > A (b) G > A > H (c) H > G > A (d) A > G > H |
| 6. | If in an A.P. the sum of the first 10 terms is three times the sum of first five terms then the ratio of common difference and first term is
(a) 1 (b) 1/2 (c) 1/3 (d) 1/4 |
| 7. | In an A.P. the ratio of 7th term to 3rd term is 12 : 5. The ratio of its 13th term to 4th term will be
(a) 13 : 4 (b) 10 : 3 (c) 4 : 1 (d) 3 : 1 |
| 8. | Sum of all natural numbers between 200 and 400 which are divisible by 7 is
(a) 8730 (b) 8729 (c) 8732 (d) 8736 |
| 9. | Square root of 2 is
(a) An integer (b) Rational number (c) Irrational (d) Imaginary number |
| 10. | If in a G.P. the common ratio is r, last term is l and the sum is s, then the first term is
(a) Ir + (r – 1)s (b) rl – (r – 1)s (c) rs – (r – 1)l (d) rs + (r – 1)l |
| 11. | The ratio of H.M. and GM. Of two positive numbers is 4 : 5. The ratio of numbers will be
(a) 2 : 3 (b) 4 : 1 (c) 4 : 3 (d) 4 : 5 |
| 12. | Between ½ and 3, 4 A.M.s are inserted. The sum of these inserted means is
(a) 7 (b) 5 (c) 6 (d) 8 |
| 13. | Three numbers whose sum is 18 are in A.P. If 2, 4, 11 are added respectively they are in GP. The biggest number for positive common difference is
(a) 9 (b) 10 (c) 18 (d) 22 |
| 14. | How many numbers greater than 1,000 but less than 4,000 can be formed with the digits 0, 1, 2, 3, 4 when the repetition of digits is allowed?
(a) 374 (b) 240 (c) 375 (d) 625 |
| 15. | In how many ways can 6 prizes be distributed among 5 boys when each boy is eligible for an number of prizes?
(a) 30 (b) 3125 (c) 7776 (d) 15625 |
| 16. | A man has 7 friends. The number of ways of inviting one or more of them on a dinner are
(a) 128 (b) 127 (c) 64 (d) 63 |
| 17. | In a tournament 61 matches were played. If every team played with every other team, the number of teams were
(a) 23 (b) 13 (c) 13 (d) 11 |
| 18. | Number of triangles formed by joining 15 points when 7 of them are in the same straight line, is
(a) 455 (b) 420 (c) 210 (d) 315 |
| 19. | Number of numbers, that can be formed with digits 1, 2, 3, 4, 3, 2, 1 so that odd digits always occupy odd places is
(a) 24 (b) 18 (c) 12 (d) 6 |
| 20. | Number of ways 8 boys can sit around a circle table is
(a) 360 (b) 720 (c) 2520 (d) 5040 |
| 21. | The system of equations x – y+3z=6, x+3y-3z = -4, 5x+3y+3 = 10 has
(a) No Solution (b) Unique solution (c) Finitely many solutions (d) Infinitely many solutions |
| 22. | In an examination 44% students failed in Hindi, 52% failed in English. If 21% failed in both languages, then out 76 students number of students passed in both language is
(a) 17 (b) 18 (c) 19 (d) 20 |
| 23. | At a point A, the angle of elevation of a tower is such that its tangent is 5/12, on walking 240 meters nearer to the tower, the tangent of angle of elevation is 3/4, the height of tower is
(a) 200 meters (b) 215 meters (c) 225 meters (d) 250 meters |
| 24. | The median of the observations 15, 0, 4, 1.5, -6, 1 is
(a) 2.00 (b) 1.50 (c) 1.25 (d) 1.00 |
| 25. | An empirical relation (approximately) between Mean, Median and Mode of a set of data is
(a) (Mean – Mode ) = (Mean – Median) (b) (Mean – Mode ) = 3(Mode – Median) (c) (Mean – Mode ) = 3(Mode – Mean) (d) (Mean – Mode ) = 3(Mean – Median) |
| Data Collected By – K. Jeyanthi | |
| Published on – 18th Dec 2021 | |
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