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1 07415 No. of Printed Pages : 16 OMT-1 01 Bachelor's Preparatory Programme (B.P.P.) (For Non 10+2) Term-End Examination June, 2010 OMT-101 : Preparatory Course in General Mathematics (Revised) Time : 120 Minutes Maximum Marks : I ct ch 1A I' ch I 4ch ) FG ) *LI 4Jd 4 ( 7\9; * : TTfuM if ft 111 d q ch H ( 149' ) WRI : 120 ftia : 50 OMT P.T.O.
2 OMT-101 2
3 General Instructions : Preparatory Course in Mathematics (OMT-101) Questions All questions are compulsory, each of which carries one mark. Each question has four alternatives, one of which is correct. Write the SI. No. of your correct alternatives/answers 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 write 0 and mark in column 0. 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. No Calculators are allowed. WHI-q -1( 14I-0-4 I uld vrtritt 1-11 c,+1) RI.fi SO -f 3-1f9 q-14 t I ci-) t 1 01, aft r-fld t I t Trr2T 7rT Tit t I 3K-R lifter 14 C-1111, 1R L.1)/Fciq1C4-i'l q -r 4_«4r fff4 A Rh* ITT *T( TTR 3-74 ft t1.1 1.firacbc,,4 TO t t o fr d h chio4 o r-ci -rrff lf-a7 I t q iq 1-, q.-r t'r tt-a Tl I qk air -44 7;q-zi 7r, t sip.-r TqR-1 t5r ii 4i cbc-if t I (iv) 4,(-01)e.4 tr ob1 arlirfu.161 t OMT P.T.O.
4 1. Which of the following is a composite number? (1) 5 (2) 2 (3) 3 (4) 4 The LCM of numbers 15, 70, 105 is : (1) 5 (2) 105 (3) 210 (4) 15 The value of 13-2 X ± (2-3) is : (1) - 7 (2) 7 47 (3) 0 (4) - 3 The value of (100)-312 (1) 0.1 (2) 0.01 (3) (4) (.1-g -.175)( (1) 2 (2) 4 (3) 56 (4) The solution of the equation 2x -1 = 3 is : (1) x = 2 (2) x = 1 (3) x = 0 (4) x = 3 The value of the expression X2 + 3x -100 for x = - 2 is : (1) -100 (2) -110 (3) -102 (4) 102 The sequence 1, 1, 2, 3, 5, 8, is (1) an A.P. (2) a G.P. (3) Fibonacci sequence (4) sequence of perfect numbers 9. The sum of the first five terms of progression 5, 15, 45 is : (1) 200 (2) 605 (3) 405 (4) 400 OMT-101 4
5 The value of 5! + 2! is : (1) 7! (2) 10! (3) 6 (4) 122 The number of ways to select 4 dishes out of 6 different dishes is : (1) 30 (2) 24 (3) 4 (4) 15 How many three digit numbers are divisible by 5? (1) 180 (2) 200 (3) 1000 (4) 90 The 7th term of the G.P. 2, 10, is : (1) 6250 (2) (3) (4) 320 3x2y x (7x3 + 2x2y 3xy2) is equal to (1) 21x5y + 6x 4y 9x3y (2) 10x6y + 5x4y (3) 21x5y + 6x 4y2 9x 3y3 (4) 21x6y 6x4y2 6x2y3 Sujata distributes 1 of the profit from a business to her husband, of it to her son and 6 1 to her daughter. She kept the remaining profit of Rs. 25,000 with her. The total 3 profit she got is : (1) Rs. 25,000 (2) Rs.10,00,000 (3) Rs. 1,00,000 (4) Rs. 50,000 The value of is : (1 ) 5 (2) 6 (3) 4 (4) 2 The difference is : (2) 2-j- (3) 3 1 (4) 10-3 OMT P.T.O.
6 18. Meera owns 3 part of a property. She divides it equally among her 3 daughters. The 5 share each daughter will get is : (2) (3) 75- (4) 15 The value of is : (1) (2) (3) (4) Mahima earns Rs in 7 days. The money she earned in 4 days is : (1) Rs (2) Rs. 800 (3) Rs (4) Rs % of 20 is : (1) 15 (2) 1.5 (3) 150 (4) 80 Which one of the following will he an odd number for any natural number ri? (1) 2n +1 (2) 2" (3) 2n (4) n(n +1) 23. Which of the following is not true? 1 is a multiple of every number Every number is a multiple of itself Every number is a factor of itself 1 is a factor of every number 24. Among the fractions,,6_ 1., 1, 1, _, 7 1 which are unit fraction? (1) (3) (2) 1, 6-1, (4), 6, 1, OMT-101 6
7 The Roman numeral for 40 is : (1) XL (2) XXX (3) LX (4) XC 1 3 Which one of the following numbers lie between 44 and? (1) 1 (2) 0 3 (3) -17(i" 27. At what rate of interest will simple interest be half the principal in 10 years? (1) 2% p.a. (2) 3% p.a. (3) 5% p.a. (4) 10% p.a. The market value of an 8% debenture of face value Rs. 100 is Rs The income per cent on the debenture is : (1) 4% (2) 6% (3) 5% (4) 8% The mode of the data 2, 18, 12, 10, 99, 10, 11, 7, 9, 5, 2 is : (1) 2 (2) 10 (3) 5 (4) 9 Which of the following is not a measure of central tendency? (1) Mean (2) Mean Deviation (3) Mode (4) Median An urn contains seven cards numbered 1 through 7. Two cards are drawn one by one without replacement. What is the total number of possible outcomes? (1) 49 (2) 42 (3) 14 (4) A coin and a die are tossed simultaneously. What is the probability of an even number on the die and head on the coin? OMT I'.T.O.
8 2 33. If P(R) 3 P(B) = 5 and R and B are independent events, then P(R n B) is : 6 1 (1) s (2) (3) 25 (4) 25 The mean deviation of the first six even natural numbers is : (1) 8 (2) 7 (3) 3 (4) 4 Which of the following statements is false for two perpendicular lines? The lines are at right angle The lines are always at same distance from each other One of the angles formed at their meeting point is 90. If one of the line is horizontal, the other will be vertical A straight angle is of measure : (1) 100 (2) 90 (3) 180 (4) 360 Two angles of a triangle are of the measure 71 and 69. The measure of the third angle is : (1) 40 (2) 50 (3) 60 (4) Which of the following conditions cannot be used for checking that two triangles are congruent? two corresponding angles and corresponding sides are equal two corresponding sides and the corresponding included angles are equal three corresponding angles are equal three corresponding sides are equal 39. How many axes of reflectional symmetry does a rectangle have? (2) 2 (3) 3 (4) 4 OMT-101 8
9 The angle of rotational symmetry for the english letter S is : (1) 90 (2) 60 (3) 120 (4) 180 Number of vertices of a octahedron is : (1) 4 (2) 8 (3) 6 (4) 10 The side of an equilateral triangle is 4 cm. Its area is : (1) 2,/j cm2 (2) 4 f cm2 (3) 8 f cm2 (4) 16 Vf cm2 The cost of fencing a circular park is Rs. 880 at the rate of Rs. 7 per metre. The radius of the park is : (1) 20 m (2) 40 m (3) 60 m (4) 80 m A solid spherical ball of radius 6 cm is melted and eight spherical balls of equal radii are formed from it. The radius of each smaller sphere is : (1) 2 cm (2) 1 cm (3) 3 cm (4) 1.5 cm The distance between the points (2,3) and (5, 1) is : (1) 5 units (2) 25 units (3) 3 units (4) 4 units The slope of x-axis is : (1) 1 (2) 0 (3) not-defined (4) 1 The coordinates of a point which divides the line joining (6, 8) and (1, 3) in ratio 2 : 3 are : (1) (5, 3) (2) (4, 6) (3) (3, 5) (4) (6, 4) OMT P.T.O.
10 48. The area of a circle of diameter 42 cm is : (1) 84 -rr cm 2 (2) 42 Tr cm2 (3) 1386 cm 2 (4) 264 cm2 Which of the following has 6 as a root? (1) x 6 = 3 (2) 3 x = 5 (3) 2x 5 = 7 (4) 2x 6 = 0 Which of the following is not true? (1) P (n, n) = n! (2) C (n, n) = C (n, 0) (3) C (n, 1) = n (4) P (n, 1) = 1 OMT
11 Cii-iroFegd -4 4 '1-ff-Th--frrr (1) 5 (2) 2 (3) 3 (4) 4 ritszii 15, 70, 105 TLCM lf: (1) 5 (2) 105 (3) 210 (4) x 3+14 (2-3) : 47 (1) - 7 (2) 7 (3) 0 (4) - 3 (100)-3/2 Trrff : (1) 0.1 (2) 0.01 (3) (4) ( = (1) 2 (2) 4 (3) 56 (4) - 4,.-1 4-n ct)t u f 2x-1=3: (1) x = 2 (2) x = 1 (3) x = 0 (4) x = 3 x = - c-t oq,31 c6 x2 + 3x -100 ITH : (1) -100 (2) -110 (3) -102 (4) :1 1, 1, 2, 3, 5, 8, t (1) y,ch k-h-1 (2) -) 11147{ (3) Rhoilli qif 31-ft-4f (4) I4TT4 '4t94413t f 3177 k't 5, 15, 45 t t>tc tft57- tiq "Wf q l + I t : (1) 200 (2) 605 (3) 405 (4) 400 5!+ 2! f -14M t : (1) 7! (2) 10! (3) 6 (4) 122 OMT P.T.O.
12 ffiT 144 c -i,t6-f : (1) 30 (2) 24 (3) 4 (4) 15 n 3-IVI i ft fw-dt 4,k.sq l(i" 5 faitrr-7-d 72r-1? (1) 180 (2) 200 (3) 1000 (4) Z k12, 10, f 7 t Li g t: (1) 6250 (2) (3) (4) 320 3x2y X (7x3 2x2y 3xy 2) f citiqt t? (1) 21 x5y + 6x 4y 9x 3y (2) 1 Ox 6y + 5x4y (3) 21x5y + 6x 4y2 9x3y3 (4) 21x6y+6x4y2_6x2y3., 1 _.,4,,_4 y_ 1....,%. \ T- 1-dT cq l n-11( -47 T'l-T,-t ti Lik chi, ,6-1R it, 7ii ei-4 qii I i r=f c4, VIT 25,000 T Lift( Tqt ti T p-tt 9-TT : (1) 25,000 T. (2) 10,00,000 T. (3) 1,00,000 T. (4) 50,000 T (1 +03 T 4-11-f : (1) 5 (2) 6 (3) 4 (4) 2 _ s3-w : 9 9 (1) 2 9 (2) 2 3 (3 ) 7-1 (4) 'W t 71-1( 1-) 3 t7rr t d,,4 <=1 attrt 7T-d-t t -11-t 5 f--*--ff9-r #1-4rn? (1) 5 (2) 5 (3) 5 (4) OMT
13 Wf +T -ft : (1) (2) (3) (4) f -614T T..W4Tt t I 4 3TT4 ob4-i I? (1) 2450 T. (2) 800 T. (3) 2800 T. (4) 500 T. 20.T1 7.5%? (1) 15 (2) 1.5 (3) 150 (4) f 1 X11-51-Ta n fff-4 fli-iforqd ail-r-# rati g esm a,11? (1) 2n +1 (2) 2" (3) 2n (4) n(n +1) 23. F-H-1 rii6-4 --sy-trr t? (1) 4.9,q 1-1 1j11T 61c4 (2) -5TA-T. t-itsq 7{ )11 t I 1;TA- t-ft9lif -) Tillt t I 1-5kT tilwr chr ±tu i-it.45 1d1 t I 24. fiq , chl-f-a;1-f 7ft 7Tht fir t? (1) (3) 4 1, (2) (4) 1 1 1, : (1) XL (2) XXX (3) LX (4) XC 26. F-o-forwr cbl-r - Tft t 41-4 ford t? (1) 1 (2) 0 (3) 3 OMT P.T.O.
14 27. -&4I7 cf-a f* TR 10 ci 4-44 TIP-7R 4-1,7f97 37P1T 5i if? (1) 2% slid (2) 3% 511a ati (3) 5% 51fa 7.4 (4) 10% "51fff 7-Isf 100 T. 311*7 774 c4 ic4 8% "ft T. tlft TR If: (1) 4% (2) 6% (3) 5% (4) 8% Sri 2, 18, 12, 10, 99, 10, 11, 7, 9, 5, 2 f t: (1) 2 (2) 1 0 (3) 5 (4) 9 f-i gcr syff-7711t rq t? (1) Trri-71 (2) 14R74 r1,--1(1-1 (3) <4qc--i on (4) 1:fTf ir r d ell t i Filr ita-t-p-tren "3-37 #tra -er TT( 61411? (1) 49 (2) 42 (3) 14 (4) ) #1-W1 3fR CF74194,sfia t I Lif fR fq-46 TIT ckff SlIIi chdf t? 1 (3) 12 1 (4) q r<p(r) = 3, P(B) = 5 3TR R 3-1R B Td P(R B) : (1) -23 (2) 3 (4) E (3) c9z 7:114 3T-t7 (-R9e-i13ti T 7iTt77 t : (1) 8 (2) 7 (3 ) 3 (4) turatf r-p-if(i i.4-4 Trr 3T-47r t? k7iti ti T-45T1 TiPTI 1-44Zi t V 77 1dr t I fqtr fq-- ITT t -7NTI - 147taN f-4-q 717,014 7T1'-) di =4-).( t 7'f Tit "V-7k7.)4111 OMT
15 h4 cbt -RN t: (1) 100 (2) 90 (3) 180 (4) 360 fq zrm fR 69 t titt -14F4 t : (1) 40 (2) 50 (3) 60 (4) tgcf 14 7f-d-qZ er 7717 t f791-7)' R =4 14 vh-fe fir t? t 4 4 id T'FIT ki+icl TAT t t H-A h d1rr d 4 id 9i*attar ilci1t ) 3117M Llti cicii f-*74 31 Ṫ c1 t? (2) 2 (3) 3 (4) 4 31'7)71. 3R-.17 s cf A14r t : (1) 90 (2) 60 (3) 120 (4) EnT7T 71-Tht 61citt : (1) 4 (2) 8 (3) 6 (4) 10 1,4-) TfliqTg ftip ipt 4 t I T 47h7' t : (1) 2,,/j74.1:11 2 (2) 4,IJA.It. 2 (3) 8 VjA (4) 16,41:11.2 1,4-5 coichr qp rqr.. (.vii4.t-1t-rd. 7 T.,Arcr frra-t tr 880 T. afft t I ci p r ail frr : (1) 20 t. (2) 40 It. (3) 60 (4) 80 It '4.t.,ARRT ttt cit chit iyq 37:14 31T3 1)" Tef t I 4 11c).1;1 fl: (1) 2 (2) 1 ti.ltf. (3) 3 A'. 1ti. (4) t. OMT P.T.O.
16 fre (2,3) 3-ftT (5, -1) d'qt-q. a1 q,. [ : (1) 5 7*--tif (2) "Eft (3) 3 7--rtze (4) 4 7*-1-ftit x 1;1.w4 u111 t : (1) 1 (2) 0 (3) LIFOITF97 t I (4) 1 2 6N fq-- F-1 q 114, s-,4 (6, 8) 3-1) (1, 3)flTr^Ft45T 2 : 3 t fq.11-rt-d (1) (5, 3) (2) (4, 6) (3) (3, 5) (4) (6, 4) 42 kit. &ITT/. q-cf (1) 84 -rr.it. 2 (2) 42 m- tf.1#. 2 (3) it. 2 (4) # ) tui * t? (1) x-6 = 3 (2) 3 - x = 5 (3) 2x - 5 = 7 (4) 2x 6 = 0 k4--trok5d4.--74tti7:1 (1) P (n, n) = n! (3) C (n, 1) = n (2) C (n, n) C (n, 0) (4) P (n, 1) = 1 OMT
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