Bachelor's Preparatory Programme (B.P.P.) (For Non 10+2) Term-End Examination December, 2016

Transcription

1 No of Printed Pages : 0 OMT-0(S) Bachelor's Preparatory Programme (B.P.P.) (For Non 0+) Term-End Examination December, 06 OMT- 0(S) : Preparatory Course in General Mathematics (Revised) Time hours Maximum Marks 50 ti met) 3iTtfirW chi 9toi 0.ft.ift.) 0+) ITftVT Rti-wt, 06 aft.7:r.t.-ious) : tin-rd in pit Act) i ti (*9--) 60: WQ 36.WdTT - : 50 OMT-0(S)

2 General Instructions : Preparatory Course in General Mathematics (Revised) (OMT -0) Questions - 50 (i) This is an objective type question paper. Options for the correct answer must be marked only in OMR sheet. (ii) (iii) All questions are compulsory. The question paper consists of 50 questions each of which carries one mark. (iv) 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 OMR 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. (v) 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. (vi) Use of calculators is not allowed. OMT-0(S)

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4 . One of the roots of the polynomial 3x3 + 9x is () (3) 3. If 3 x 3 : = 3, then the missing number in the box is () (3) 3 3. The value of the expression ± 3 x is () 0 (3) Which of the following cannot be the probability of an event? () 0 0 (3) 5. The number of ways to select 3 colours from different colours is () 36 3 (3) The area of a triangle with base 3 cm and height cm is i 7 () 7 cm 6 cm 9 3 (3) 5- cm`' 0 3 cm x rb\ 3 x r e b) c a) is equal to () (3) 5 '3` 6 \ C OMT-0(S)

5 ." 3x3 + 9x () (3) 3. zit 3 x 3 = 3 t, c Affff wssii () (3) I' x "WT :R () 0 (3) 8.7, PHR-6 A.., --Ift ww Erem tr maistml er t Tr*It? () 0 0. (3). 5. i*q # 3 irll vi At failreff tr *wen t () 36 3 (3) attite 3-i cm 3* *-T-i - cm 'AK.) -:Fe t 7 () 7 cm-9 6 cm (3) 5±- cm 3-3 cm 3 3 ( x (Il x i (ji 7. 7) tstkier a () 5 b ) 6 5 (3) (y) 6 c ) 5 b 6 OMT-0(S) 5

6 8. The slope of the line passing through the points (, ) and (, 3) is () (3) x = y + 9. The mode of the data,,,,,, 3, 3,, is () (3) 3 0. A card is chosen randomly from a deck of 5 playing cards. The probability that the card is black or an ace is () 5 (3) Which of the following is correct about a conjecture? () It is a true statement. It is always about real numbers. (3) It is the same as an algorithm. It requires to be proved.. () ( )- is equal to () 0 (3) is equal to ().0 (3) FO The degree of the polynomial xy 0 z x3yz xy is () 3 (3) 5 6 OMT-0(S) 6

7 8. N-Saff (, ) atit (, () (3) 3) **7pia clic Ztai *t x-=y+ 9. 3k-,,,,, (), 3, 3,, t (3) F -Q A-7-* zitr" *etchi mincbcii t "fw-ot icii t I cnici I 7{ () 5 7 (3) 3. i 39:rrq ci PiHrorigo A a)) - () TrF:t W-T t I pi ci k-i(903* ' t I (3) 7fgq i.i f (tfritz) ':0 riog ct)* Wma c T Fq t I.)c-il 't I. () ( )- () 0 (3) cricit ().0 (3) ' AT:g xy z + x3yz + xy IEFTff t () 3 (3) 5 OMT-0(S) 7 6

8 is equal to () 0000 (3) If 7% of x is 350, then x is () 50 (3) If the smallest and the largest sides of a right-angled triangle are 5 cm and 3 cm respectively, then the third side is () 8 cm Ord -Nig) cm (3) 9 cm cm 8. The coefficient of a b8 in the expansion of (a + b)l-c I is () C(0, ) C(8, ) (3) C(0, ) 9. Which of the following statements is true? () Every real number is an irrational number. Only some rational numbers are integers. (3) Some integers are irrational numbers. Every whole number is a natural number. 0. A quadrilateral having one and only one pair of parallel sides is () a square a rhombus (3) a trapezium a kite. The variance of the data, 3,, 0, 5, 3 is () -5 (3) OMT-0(S) 8

9 %KM t () T 7%, 350 t, xt zft TOUT tiatl ati-{tiatl 6 Tfq 9to-RI. 5 cm ati -{ 3 cm t, c Tkfil. r(tft () 8 cm (Via cm (3) 9 cm cm 8. (a + b) -srfr a b8 () C(0, ) C(8, ) (3) C(0, ) 9. P+-irCiRsii --9 ))--Trr t () -Sk." cir-circich iitsen L.) 3:* ti,c90 t r.9 :Iftf t I (3) r'97*, 3Tcrit tit ii 6lia t I.5.A. Tri tit«ai Icy titgei tt 0. tii-ii-ctk 3 Y TIT am! () *R - (3) ti imal. 3,T-i, 3,, 0, 5, 3 iii Atitul () (3) 5 OMT-0(S) 9

10 . Which of the following has dimension not equal to 3? () A cone A sphere (3) A triangle A cylinder 3. Which of the following lines contains the point (, - )? () x+y= 3 x = - y (3) x+ y+ = 0 x + y = 0. The curved surface area of a cylinder with radius r and height 3r is () 3r 67Er (3) 3tr 3rcr3 5. Which of the following sequences is not an A.P.? () 5, 3, 8, L 9, -,, -,... (3), -, - 5,... 3, 9, 5, The relation between P(n, k) and C(n, k) is () P(n, k) = k! C(n, k) P(n, k) = n! C(n, k) (3) P(n, k) = k C(n, k)! P(n, k) = C(n, k) n! OMT-0(S) 0

11 . P -. Cl A tica %:T 3* WkIK? )0 3. Ilgrat A ti T TR (, - ) "Pm t? () x+y= 3 x = - y (3) x + y + = 0 x + y = 0. TT r 3.K Uri 3r clic *T -W 78 () 3r 67rr (3) 37cr 3itr3 5. PH tgcl A AR.-T 3.-dW: (A.P.) Ref t? () o,, -,, -,... (3), -, - 5,... 3, 9, 5, P(n, k) 3 C(n, k)* Ad Ti- () P(n, k) = k! C(n, k) P(n, k) = n! C(n, k) (3) P(n, k) = k! C(n, k) P(n, k) = C(n, k) n! OMT-0(S)

12 7. Which of the following letters of the alphabet have only one axis of reflection symmetry? () X B (3) Z 0 8. The radii of two spheres are in the ratio of :. Then their surface areas are in the ratio of () 6 : : 6 (3) : 6 6 : 9. If A and B are two independent events, then the probability of A fl B is () P(A). P(B) (3) P(A) P(B) P(A) + P(B) P(A). P(B) 30. In a party there are people. If each person shakes hands with the others, then the number of hand-shakes will be ()! (3) The median of the data 9, 0,, 3, 5, 6, 7 is () 3 7 (3) 7 3. The distance between the points (, 5) and (, ) is () 3J (3) 3 OMT-0(S)

13 7. cluihmi -- 3R ao ITUq alat tdtt? () X B (3) Z 0 8. t f"-- Tall arg:itff : t IcTf si i) Tifr OVF-0 337M t () 6: : 6 (3) : 6 6 : 9. zrk A 3T t Bt t, A n B*F macbc-n t () P(A). P(B) P(A) + P(B) (3) P(A) P(B) P(A). P(B) 30. TiTtr oq t 7t chi 3TP *ifift 7fT-MMT t, c h *-0 qk 7T firdir 3()? ()! (3) aft 9, 0,, 3, 5, 6, 7 *I. Trar+7 t () 7 3 (3) (,5)3 (, )* t9- *tiket () 3-N/ (3) 3 OMT-0(S) 3

14 33. If a salesperson offers a 0% discount and charges 0% sales tax, then the marked price and the sales price are such that () the sales price is less than the marked price. the sales price is greater than the marked price. (3) the sales price is equal to the marked price. they are not related. 3. Which of the following numbers is irrational? () Which of the following statements is not correct about the range of data? () It is the most frequently used distance measure of dispersion. It is the difference between the largest and the smallest observations in the data set. (3) It is the highest observation in the data set. It is the difference between the class marks of the first and the last classes of the grouped data. 36. Which of the following is the cumulative frequency curve of a given data set? () Histogram Ogive (3) Bar graph Pie diagram 37. Which of the following statements is true? () There are infinitely many ways of doing regular tiling. One way of doing a regular tessellation is by using squares. (3) There is only one tessellation whose basic motif has reflection symmetry. There is no tessellation whose basic motif has rotational symmetry. OMT-0(S)

15 33. zft I-M 0% 'T 0% "rr r)cii t, c 3if*7 t\cy- -Wr Ff Achlt () -- t it-, 3%7 ize t 'W aika- (3) reisg) ai-wa. esiosik t. t TietTa. t 3. (5c W9elall cr)-- attrft--? () ;5 6 (3) V *t Trft-Frt* -.k - -.ZiRsici - A- - -T-r Y t? () 7:fg3r Th o fell am! trfttrur -wr -tt t zig aft-0* tit-celel tici d-{* (3) zig 3*-*Pgici Tt-r iutt zrg 3--*t* fr{ afit:r af-6( t I ch -I-TFT -7 7 iii * T:c 0- GIRGwol t? () 3-ff-rmli ci tui (3) 3AUf( T wt+)) tfl f:rfafff w-rq cr) i-trr? () TriT Tre-M7 al-crri-rrff 'WW : far, t (3) *-0' JZ.Icsk-. * f MantW TR.(- VITRA t. r- t fa3).:0. 3TR t OMT-0(S) 5

16 38. The area of the triangle with sides 3 cm, cm and 3 cm is () / cm 6 cm (3) / cm 0 cm 39. How many cubes of side cm can be put inside a cube of side 6 cm? The smallest integer greater than i s () 9 0 (3) V-3- + /3- = () 5 (3) 5. Which of the following is not an essential difference between a picture and a map? () Type of D-representation Colour (3) Scale Perspective 3. Which of the following pairs of fractions are equivalent? () ' ' 6 (3 ) 5 5 ' 7 7 9'. The number of rational numbers between 0 and 5 is () 5 0 (3) infinite OMT-0(S) 6

17 38. Tiall 3 cm, cm 3-T 3 cm Ip w-fa () j cm 6 cm (3) /6 cm 0 cm 39. TAT 6 cm ciic 'ER TAT cm a la ft-a.m. --( tich t? () 3 7 (3) A. t 0 () 9 0 (3) %id + I,rd = () 5 (3) Vd 5. ri-r-iii.gd A VIR--SIT 'R* ray 3Th icq (map) T t 3? () D.AFITIT X3 T TT (3) *RI t-ic 3. rii-ireirsid -u9 OR -. TIT tv-ig #? () 5 7' 6 7, 6 (3) at 5* m trft t9e3 itizgzrr () 5 0 (3) altritkff (3-ff) OMT-0(S) 7

18 5. If A and B are mutually exclusive events and P(A) = 0.3, then P(B) is () 0.3 (3) If (- - x y =, then y = () -3 3 (3) 3 7. Nandan borrows,00 from his friend and pays him back with simple interest an amount of,380 after years. What rate of simple interest does Nandan pay to his friend? () 90% 5% (3) 9% 7.5% 8. The cost of pens is equal to one-third of the cost of a notebook. If the cost of a pen is 5, then the cost of the notebook is () 5 60 (3) T' Which of the following sentences is not a mathematical statement? () A week has seven days. Heat flows from high temperature to low temperature. (3) Days are shorter than nights in the winter season. Every rational number is a natural number. 50. The number of edges in a regular octahedron is () (3) 6 8 OMT-0(S) 8

19 5. A 3 t B TRTER atekiid i ' IT P(A) = 0.3 ', c P(B) () 0.3 (3) t - ) x y = t, y = () -3 (3) 3 3 ) < 37I i,00 3% Cldi t IT wi 3 "FRITPT vim,380 TtlaTEA'Rff--:rrITR-Err *=t --Ift () 90% 5% (3) 9% 7.5% 8. 9 Tr itc ei AkitsItt I e 5 t, RYCI-W t () 5 60 (3) P+- ifcifiad atet.0. A cr, err Trurerzr Re'? () TrcuT A To it old t I d)tiii PH tr 3i 37 cht t (3) We A f<- TifiAltr ataur t I 3 trit*i mtv T t 50. alizt57 A TATall * titcsi t () (3) 6 8 OMT-0(S) 9