Bachelor's Preparatory Programme (B.P.P.) (For Non 10+2) Term-End Examination June, OMT-101 : Preparatory Course in General
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1 No. of Printed Pages : 20 OMT-101 Bachelor's Preparatory Programme (B.P.P.) (For Non 10+2) Term-End Examination June, 2014 OMT-101 : Preparatory Course in General Mathematics (Revised) Time : 2 hours Maximum Marks : 50 mui lich 9t)H (*AT 10+2) tift4it T4, aft.74.t.-101 : Al 11 Tr Silt ch 4-1Icktich11 cl) FifTrel: 2./u2 : 50 OMT
2 General Instructions : Preparatory Course in General Mathematics (Revised) (OMT-101) Questions 1-50 (i) All questions are compulsory, each of which carries one mark. (ii) Each question has four alternatives, one of which is correct. Write the Sl. No. of your correct alternative/ answer below the corresponding question number in the answer sheet and then mark the rectangle for the same number in that column. If you find that none of the given alternatives is correct then write 0 and mark in column 0. (iii) Do not waste time in reading the whole question paper. Go on solving questions one by one. You may come back to the left out questions, if you have time at the end. (iv) No calculators are allowed. OMT-101
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4 1. The HCF x LCM of two numbers 50 and 20 is (1) (3) 1000 (4) If p, q are two prime numbers, then LCM (p, q) is (1) 1 p (3) q (4) pq 3. If x = 23 x 3 x 52, y = 22 x 33, then xy is (1) 25 x 34 x x 53 x 32 (3) 23 x 34 x 52 (4) 25 x 33 x If (3x + 2) (2x - 5) = ax2 + kx - 10, then the value of k is (1) (3) 9 (4) If the circumference of a circle is doubled, then ratio of the areas of smaller to bigger circle is (1) 1 : 2 2 : 1 (3) 1 : 4 (4) 1 : 7E 6. If n - 5 is an even integer, then the next consecutive even integer is (1) n - 7 n - 3 (3) n - 4 (4) n Which of the following is not an irrational number? (1) 5- + Nig (3) 4 + (4) 6 + Nig OMT-101 4
5 x 5 isequalto (1) (3) 5 (4) The decimal form of 29 is 90 (1) (3) 0.32 (4) The number - 6.s equivalent to 7 (1) (3) 84 (4) First three terms of an A.P. are 2x -1, x + 1 and x + 3. The value of x is (1) (3) 2 (4) A letter is chosen at random from the letters of the English alphabet. Find the probability that it is a letter of the word "CHILD". (1) (3) (4) The measure which takes into account all the data is (1) mean median (3) mode (4) range 14. If 45 is 20% of a number, then 4% of the same number is (1) 8 9 (3) 15 (4) 16 OMT-101 6
6 1. t kitcsuall 50 at 20W HCF x LCM t (1) (3) 1000 (4) Z4 p, q 33311:1 tii.90-bcr t, c LCM (p, t (1) 1 p (3) q (4) pq 3. 7fft x = 23 x 3 x 52, y= 22 x 33, t xyt (1) 25 x 34 x x 53 x 32 (3) 23 x 34 x 52 (4) 25 x 33 x zft (3x + 2) (2x - 5) = ax2 + kx - 10, A. k t (1) (3) 9 (4) 10 (1) 1 : 2 2 : 1 (3) 1 : 4 (4) 1 : TC 6. eir< n - 5 TR Tuft t, c avrer staivio TITI Tuft t (1) n - 7 n - 3 (3) n - 4 (4) n R Tit 3TITI*4 * Ret? (1) 5 J + (3) 4 + (4) 6 + OMT-101 5
7 15. The simple interest on t 500 at 10% p.a. for two years is (1) (3) 100 (4) In exponential notation V(3/7)3 is (1) (3) 7) 2) ( 3"3 ( (4) L3)1/2 7) 17. Degree of a constant term is (1) 0 1 (3) 3 (4) Not defined 18. Five times a number plus 5 is equal to seven times the number minus 9. The number is (1) (3) 49 (4) If marked price of a pen-drive is 600 and selling price is 510, then the discount percent is (1) 10% 25% (3) 15% (4) 9% 20. Let 1, m and p be three lines in a plane such that / // m and p intersects 1. Then (1) p // m p intersects, m (3) p is perpendicular to m (4) None of the above 21. The quadrilateral having only one pair of parallel opposite sides is (1) parallelogram rhombus (3) trapezium (4) kite OMT-101 8
8 8. 4 =2+3=5x5 atticitt (1) 20 (3) (4) Vtf (1) (3) (4) 0.0' 10. titsqi 6 gcrei (4) Vali( tg 2x 1, x + 1 x+3 t I x TER' (1) 2 0 (3) 2 (4) att alatt lq reel ' I NI em ii *WA 1* 7T atut "CHILD" its,c* awl -4 "cr- t I (1) 1 26 (3) (4) Tricf Trk 3ft-41 Trmfga- cbtdi t (1) 1:Maf 1-11balc4,l (3) (4) kirtit 14. titsen i1 20% 45 t, 31ft tit9.441w 4% t (1) 8 9 (3) 15 (4) 16 OMT-101 7
9 22. The area of a triangle whose sides are 3 cm, 4 cm and 5 cm is (1) 7 cm2 6 cm2 (3) Nifi cm2 (4) Nig cm2 23. What is the degree measurement of the angle between the hands of a clock at 3 o'clock? (1) (3) 360 (4) The diameter of a circle A is double the diameter of another circle B. Then area of the circle A is of the circle B. (1) 2 times 4 times (3) 16 times (4) 20 times 25. Mean of first 5 natural numbers is (1) 5 2 (3) 3 (4) x (2x2-3y) + y (9x + 4y2) is equal to (1) 2x3-6xy + 4y3 2x3 + 6xy + 4y3 (3) 2x3 + 6xy - 4y3 (4) 2x (x2 + y) + 4y (x - y2) 27. Angles of the equilateral triangle are (1) 30, 60, 90 60, 60, 60 (3) 30, 30, 120 (4) 90, 50, The sum of first 5 terms of the G.P. 2, 4 8 -ī,,... is (1) (3) (4) OMT
10 TR 10% cach 7 TR t 44* roll TfrETRui aim t (1) (3) 100 (4) attlidicr cti 4 /(3/7)3 (1) 4)27 ( 3) 1/3 7 (3) (;)1/3 (4) (3)1/ T9T T1:11- t (1) 0 (3) 3 1 (4) trititriird 18. kitsql , -au 7 9 'Erd** Itlek t I -4-q (-men t (1) (3) 49 (4) eirf q- wi af+-a. T. 600 t 311Tfk-A 1tc-ei 510 t, t 3ftriff (1) 10% 25% (3) 15% (4) 9% 20. RRr 1, m 311K p wido 4 ftr t.gicr 114 N. hit f 1l//m3 p, / ). "WIZet.t I t (1) p //m p, m chle.cn t (3) p, m RKra t (4) ZERIT 4A ct> WTO raki * hci i T tihfrot ', wffr-dlt (1).Riff-T47 (3) kihriel W1417 (4) xitt OMT-101 9
11 29. If nc7 = nc5, then nc1 is (1) (3) 1 (4) ! 6! is equal to 55 (1) 5! 6! (3) 4! (4) 7! 31. A right-angled triangle has (1) Three acute angles Two acute angles (3) Only one acute angle (4) Only one obtuse angle 32. The letter A has (1) rotational symmetry line symmetry (3) both rotational and line symmetry (4) no symmetry If El and E2 are two events such that P(E1) = 0.5, P(E1 U E2) = 0.7, P(E1 fl E2) = 0.1, then P(E2) is (1) (3) 7. (4) 3 10 The abscissa of any point on y-axis is (1) 1 0 (3) 1 (4) any number The coefficient of x2 in the expansion of (x 1)3 is (1) 3 1 (3) 3 (4) 1 OMT
12 22. 3, (1) 7 (3) VU (4) "4 * TP:14 * 4tg i ct) ui airt TIN t? (1) (3) 360 (4) V A T of Iti COI * oqmv.! t I T4 "p" A W. 0" B t I (1) 2 "grt (3) 16 IT 4 TT (4) 20 T4T ff ftti I3 Weft (1) 5 (3) 3 2 (4) x (2x2-3y) + y (9x + 4y2) 44k161k (1) 2x3 6xy + 4y3 2x3 + 6xy + 4y3 (3) 2x3 + 6xy - 4y3 (4) 2x (x2 + y) + 4y (x - y2) 27. STS * Qui t (1) 30, 60, 90 60, 60, 60 (3) 30, 30, 120 (4) 90, 50, h 9K at 2, 4, :1 5 1: tba t 9 "*. * 322 ( 1) 84 (3) OMT (4)
13 36. (27) 1/ /3 (1) 3 (3) 15 is equal to 8 (4) 7/3 37. Which of the following quadrilaterals, does not have both pairs of parallel opposite sides? (1) Rectangle Parallelogram (3) Rhombus (4) Trapezium 38. The number of edges in a tetrahedron is (1) 6 4 (3) 5 (4) ,000 cm2 is equal to (1) 400 m2 40 m2 (3) 4 m2 (4) 4000 m2 40. The area of a rhombus is 1470 cm2. If one of its diagonals is 35 cm, then the other one is (1) 40 cm 42 cm (3) 45 cm (4) 38 cm 41. Two triangles are not congruent when (1) all corresponding angles are equal two corresponding sides and the included angle are equal (3) all corresponding sides are equal (4) two corresponding angles and one corresponding side are equal OMT
14 29. zạ, nc7 = nc5, nc1 (1) 12 (3) !-61 *Km t 55 6! (4) 7! 31. wict;lui r-gp A ''); 32. atkit (1) At4 ch Ul t "R:0 cr-aul (3) 4cio et) to! (4) 4pari 3114-* m1ui (1) q'1.i tvii;:1 (3) tvii -I. (4) c4; 33. "Efa-4T1 El 31 E2 Tg f P(Ei) = 0.5, P(Ei U E2) = 0.7, P(E1 n E2) = 0.1, P(E2) (1) (3) 2 (4) y-atattr t (1) 1 0 (3) 1 (4) cbl t (x 1)3 i Mkiit A x2 w.!lulict) (1) 3 1 (3) 3 (4) 1 OMT
15 36. (27)1/ /3 (1) 3 (3) 15 8 (4) 7/ wgilq. 41,11:13Ut TA-134* TIT 7-0X11 (1) awrff WT-17 (3) 131:1-4TIq (4) 38. -agtxbricr) 4 TATaff *itgqi (1) 6 4 (3) 5 (4) , WT-4K (1) tf1.2 (3) (4) ,fA c rt 14704t2 t I zfit *mem "RW rdcbui 3511 t, c rti fdcnui (1) *1 (3) 45*ft (4) 't tic+ iikvi t4 7-4 (1) 1,1'4114.1m.4trt t *TM N7T aieff (Aug GRiw& (3) 'R411:01'ff (g-411 esiticit (4) t TOM ct;)ul C it wtlwt OMT
16 42. The angles of a triangle are 5 (x 1), 3 (2x 5) and 9x. Then the triangle is (1) Scalene Isosceles (3) Right isosceles (4) Right scalene 43. Which of the following is not greater than 3? 4 (1) (3) (4) If P(x) = 2x2 + kx + 5 and P(1) = 0, then k is (1) 2 2 (3) (4) 3. /- 45. If 35% of a number is 70, then the number is (1) (3) 200 (4) The mean of 10, 12, 16, 20, p and 26 is 17. The value of p is (1) (3) 20 (4) 105 OMT
17 42. V)tir 5 (x 1), 3 (2x 5) 3141K 9x t I t fi 437 t (1) "r4ept-ce WifaRTS (3) tiiict;)ui ITITPOTE (4) wictlui f4tgigte 43. firilaq-tft t 7-et? (1) (3) (4) =1 4 = zir P(x) = 2x2 + kx + 3* P(1) = 0 t, c k t (1) (3) (4) Wit i*eft (-I tsel I T 3 53ARTff 70', t (1) (3) (4) , 12, 16, 20, p ati 26 WITIvisf 17 * I p 1TR t (1) (3) (4) OMT
18 47. If P(E) is the probability of an event, then (1) P(E) > 1 P(E) < 0 (3) 1 P(E) 1 (4) 0 P(E) For a frequency distribution an observation having maximum frequency is called as (1) mean median (3) mode (4) range 49. The 34th term of the sequence 7, 13, 19,... is (1) (3) 207 (4) In a square ABCD, AB = 2x + 3, BC = 3x 5. Then the value of x is (1) 4 5 (3) 6 (4) 8 OMT
19 47. zft P(E) icii *1 t, (1) P(E) > 1 P(E) < 0 (3) - 1 P(E) 1 (4) 0 P(E) wiiaitni'on' TraiRrw aiiaitni ami (1) /Thai Hi chi (3) '4FW (4) 4 tit :1 7, 13, 19,... 34t 1:g (1) (3) 207 (4) ABCD 4, AB = 2x + 3, BC = 3x - 5. t x f TER t (1) 4 5 (3) 6 (4) 8 OMT
20 SPACE FOR ROUGH WORK *iwr 7Trg OMT
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