VELs University 2011 Diploma Marine Electrical M.E.O Class 4 OF INE ENGINEER OFFICER , FUCTION ine Engineers at Operational level, MATHEMATICS - Question Paper
M.E.O Class four exam OF MARINE ENGINEER OFFICER , FUCTION Marine Engineers at Operational level, MATHEMATICS
T-' 4
T.:i
examination oi maaj thjci.vie!- o; riCi-
Function: Marine Engineetn , -1/ Oftefur u. f,
Ma THEMA 71 Ci
MX O, Oku IV (Tim* . Jhor;
Mcraini; Papr
NB : (1) All Question* are CompuUory
(2) Ail Questions carry equal maria
0) Neatness in handwriting and clarity in *prccarry we jbtagt - (4) illustration of an Answer with clear iketc) 'J.ijran : tarriti tightagV.
1. Find the square rOot cf. 4>/s B>/3
. * J
'I* - . - I
A piece of cloth costs Rs.25.C3 S'"s pec* //*?* 4 rr. crjo' and each r Rs. 1.00 less, the cost v/c-j'd rerr a. ar *:,// :'*% *'% pece?
2.
Is 184 a term of the sequence Tv 7 11
i.
|
iU* |  |
Perform the indicated operator, and f;r.d tr.e rev.;.* .-r. *r.e fcrrr. a
 |
|
r '4 |
' If the 4th and S* terms cf a G.P. cs 54 ar.d rv.tl respective;/, fir.dthe G..j
*/ < * ' j I
' A train starts from a station and asperates r.:?ofrr.:/ to s speed of 110 m 2 min. It then travels at cor.siar.t speed fcr "e r.e/t#32 krr, ar.d is brought next station with a uniform decelerate:-, of 0.2 ~!rJ. dra// a ve.ocity-time journey and determine from it: j"r
(a) the total time of (he journey; 1%
(b) the distance between the stations.
50
Ci) Iog2 2 3 og5 - log: 3-2 log V lo -
(H)~
.35) _
(VzJ Jog OVzV log
log
log
mi
34 0.1
22
%-iOgff * log 7.
15
I*
9 ' i * *00/ < j Cfo*t a faifta bd * 1 mrn/* r'*livB lo lh* i>d& t tf*v*r*#d a1 2 s mm/t a;onc me ,alh0 what is the velocity of the loot?
10 c
um, th# foliating g#OfT.*?rtc tftne* to infinity
0) (V2 *-!) 1+(V2T-1) +...
r ~T *r r + + T 4- -7 + ... 00
2 2r 2 3 2 3
XXXX-
z~i-
Sr. No. 12
 |
|
sqrsj 3.5*1 |
EXAMINATION OF MARINE ENGINEER OFFICER Function: Marine Engineering at Operational Level MATHEMATICS
M.E.O. Class IV (Time allowed - 3hours)
Morning Paper Total Marks 100
India (2011)
NB: (1) All Questions are Compulsory
(2) AH Questions carry equal marks
(3) Neatness in handwriting and clarity in expression carries wcightagc
(4) Illustration of an Answer with clear sketches / diagrams carries weightage.
Show that V [ 6 + v{6 + V(6 + to GO ) } ] - 3 ,
2. Solve the simultaneous equations:
3.
*t 1 O
Which term of the sequence 20,19 18 17 ... is the first negative fen"!
4. Find real values of x and y for which the following equalities hold:
(i) (1 + /) y1 + (6 + ;) = (2 + i) x
(ii) (x4 + 2xi) - (3x2 + ixj) = (3 - 5i) + (1 + 2iy)
5. The (m + n)th and (m - n)th terms of a G.P. are p and q respectively. Show that the mth and nth terms are Vpq and (q/p)1117211 respectively.
6. A train starts from a station and accelerates uniformly to a speed o 1 lOkm/hrin a time of 2 min. Itthen travels at constant speed for th next 32 km and is brought to rest at the next station with a unifori deceleration of 0.62 m/s2. Draw a velocity-time graph for the joume and determine from it:
(a) the totaltime of journey;
(b) the distance between the stations.
Prove that:
CI) log 2 2 log 5 lot; 3 2 107 log Y47
r/iV log-+ log I'll j _ !oR }-j = O
hit) log + log log * log7.
8. 7wo ships are steadily steaming towards each other. When 1,000 m :p. ; ship B takes avoiding action by turning through 30to port. The speed o ship A is 20m/s and that of B is 30 m/s. Calculate their nearest dists'ic-. apart and how long before this distance is reached after B takes avoidin? action. Neglect the time taken to alter course.
9. Find the sum of an infinitely decreasing G.P.whose first term is equr! to b+2 and the common ration to 2/c, where b is the least value of ir. 't product of the roots of the equation (m2 + 1) x2 - 3x + (m2 + 1)2 = 0, and c is the greatest value of the sum of its roots.
1
10.Zf the ratio of the roots of the equation x2 + px + q = 0 be equal to the ration of the roots of the equation x2 + bx + c *= 0, then prove that p2 c - b2q.
XXXXXXXXX
|
Attachment: |
| Earning: Approval pending. |
