December 6, 2015 Civil Service Prof Exam Result – NCR List of Passers (A-E)

Below is the list of passers from NCR of the Civil Service Exam Professional Examination conducted on December 6, 2015 with surnames A-E. 

SeqNo Region ExamNo Name

1 13 476555 ABACA, JESSICA EUCHEL F
2 13 474224 ABAD, CZARINA ANNE T
3 13 474797 ABAD, FREMY GRACE S
4 13 465893 ABADA, JUSTINE R
5 13 466587 ABAINZA, ANNA ALTHEA F
6 13 465446 ABALOS, GLENN L
7 13 461112 ABALOS, MARIA FE B
8 13 472998 ABANES, LEA KATRINA R
9 13 476323 ABANTO, KARL CHRISTOPHER G
10 13 474736 ABARQUEZ, MELODY B
11 13 460296 ABARRIENTOS, JOANN CLARICE SP
12 13 473886 ABBANG, MARY EBONIE A
13 13 474908 ABDULLAH, ROSNI JAMEEAH M
14 13 463475 ABDULRAHIM, SAMEER A
15 13 468944 ABEL, KATHREEN EDRIS G
16 13 470700 ABELLA, ALDWIN KENT M
17 13 464882 ABENGAÑA, RODIN F
18 13 476424 ABIAD, RAY NIEL C
19 13 460600 ABILAGOYO, DECIDELA P
20 13 461400 ABLAT, KYLE DANIELLE V
21 13 466450 ABOBO, DANNY T
22 13 466118 ABROGUEÑA, DAN G
23 13 460645 ABUGA, JESSA MARIE B
24 13 460311 ABUNDABAR, FROILAN V
25 13 471170 ABUNDO, DIANNE ROSE T
26 13 464450 ABUNDO, REGINE ANNE A
27 13 474225 ACCAD, JENELYN G
28 13 472904 ACCAD, SHIRLEY H
29 13 477738 ACENA, SARAH GRACE L
30 13 460236 ACODE, PAUL NICO L
31 13 460474 ACOSTA, ALFREDO III O
32 13 471440 ACOSTA, KARINA KATE V
33 13 471286 ACOSTA, KAYLA GETHSEMANE R
34 13 463659 ACOSTA, VINCENT V
35 13 477649 ACUÑA, TERENCE JOY B
36 13 472776 ADACRUZ, MARTELL D
37 13 472400 ADIGUE, ALVIN E
38 13 473689 ADOLFO, APRIL NIETZSHE F
39 13 463862 ADVINCULA, NIÑO P
40 13 470673 AGANAN, LEORA BEL V
41 13 475675 AGAPITO, ARIS S
42 13 472443 AGAS, CAMILLE VICTORIA G
43 13 475302 AGBAYANI, ABIGAIL V
44 13 473240 AGGABAO, INNA MARIEL G
45 13 474147 AGLORO, SARAH T
46 13 462879 AGPAWA, JOHN ISAIAH C
47 13 461884 AGRAVANTE, LESLIE C
48 13 476790 AGUAS, BLESSILDA KRISHNA A
49 13 464140 AGUILA, CAMILLE PRINCESS A
50 13 460134 AGUILAR, CHRISTIAN ANDREI C
51 13 477372 AGUILLANA, JEROME B
52 13 467148 AGUILON, ARABELLE E
53 13 463391 AGUILOS, YVES MARVIC
54 13 463395 AGUINALDO, KRISTINE MARIE A
55 13 472444 AGUINALDO, RONNIE JR G
56 13 476248 AGUITE, GRACIEL A
57 13 471396 AGULTO, ANJELU THADEA JUDE F
58 13 476147 AGULTO, TIMOTHY JOGN M
59 13 476744 AGUSTIN, ANGELICA MAE D
60 13 462400 AGUSTIN, ARVY L
61 13 464491 AGUSTIN, JOANNA PAULA R
62 13 463570 AHMED ABDULRAHIM, FIRAS A
63 13 468136 ALABA, DEXTER LOUISE C
64 13 465635 ALABADO, MARK ANTHONY
65 13 464369 ALACAPA, MARIA FEBBIE R
66 13 475504 ALAGAO, KATE B
67 13 473346 ALAMAG, SHARMAINE COLLETE V
68 13 473491 ALAMARES, KATHLEEN MAY G
69 13 463447 ALAMODIN, REEANN MARIE P
70 13 474053 ALANANO, PAMELA CAROLINA C
71 13 476331 ALANO, NATHANIEL R
72 13 470159 ALARCON, KRISTINE EDLIE C
73 13 460569 ALAWI, FARHANA N
74 13 466136 ALBA, JAN ALPHONSE S
75 13 461864 ALBACEA, ANA ZENRA B
76 13 470784 ALBAÑO, MCHELGER B
77 13 467220 ALBERTO, SARAH LOUISE JANE T
78 13 466544 ALBERTO, SHARMAINE GRACE L
79 13 461174 ALBIAD, MARICRIS B
80 13 461392 ALCANTARA, ANGIE LOU B
81 13 472560 ALCANTARA, RAYMUND T
82 13 478058 ALCANTARA, SHERYL F
83 13 478102 ALCASID, JEROME JORGE A
84 13 478191 ALCASID, VLADIMIR HUSSIEN A
85 13 468800 ALCAYAGA, KATHLEEN M
86 13 477871 ALCESTO, ALVIN P
87 13 478466 ALCONES, RAZELLE R
88 13 472378 ALDABA, KYRA MARI DOMINIQUE E
89 13 478555 ALEA, HANNAH C
90 13 478741 ALEGRE, MARIA ANGELITA I
91 13 472988 ALEJOS, MARY SHAN FAYE B
92 13 478111 ALEMAN, MARYLYN A
93 13 468349 ALFARO, LYZIEL B
94 13 465761 ALFONSO, MARHOLYN P
95 13 460481 ALI, ABER JAMAEL U
96 13 468828 ALI, HASANOL BASARY R
97 13 468826 ALICANDO, NIMFA J
98 13 462493 ALIMAN, ELISA BLANCA G
99 13 466750 ALIÑABON, SAMM ALLYSON P
100 13 469486 ALMAREZ, CESAR JR M
101 13 470280 ALMAZAN, JANINE MARIA LUCIA G
102 13 474777 ALMAZAN, SARAH JANE
103 13 474056 ALMEDA, CHRISTIAN DEXTER G
104 13 472937 ALMIRA, JERMAINE MARIZ V
105 13 475600 ALMODIEL, CHRIZEL ANN A
106 13 466796 ALONZO, ELIJAH JOY S
107 13 463300 ALONZO, MARIA LAVINA M
108 13 473597 ALQUIROS, KAREN HELEN M
109 13 464247 ALUPAY, KAYE T
110 13 468389 ALVAR, SALVADOR III C
111 13 477691 ALVARADO, FREDERICK JOHN A
112 13 471458 ALVARADO, MA LOURDES B
113 13 464561 ALVAREZ, CHERRY JOY H
114 13 475038 ALVAREZ, IAN JASPER B
115 13 471098 ALVAREZ, KENNETH E
116 13 465149 ALVAREZ, VIC MANUEL D
117 13 463093 AMAN, HANNAH DESIREE L
118 13 475310 AMANTE, EDELWIESE JADE LUANNE B
119 13 468631 AMANTE, NOVELYNN
120 13 465345 AMARO, ANNABELLE Z
121 13 471525 AMARO, LEAH ROSE M
122 13 468236 AMBAL, WILMER D
123 13 473498 AMODO, MARIA JESSA M
124 13 464930 AMORA, OLEVER S
125 13 465121 AMPARO, MARIA CRISTINA H
126 13 465949 AMPON, RUTH L
127 13 460255 AMURAO, KARL JERBERT R
128 13 465040 ANAPI, SHEILA MARIE L
129 13 476083 ANCLA, BARBARA S
130 13 460531 ANDAL, ABDULJABBAR S
131 13 462387 ANDAYA, MARY GRACE R
132 13 475738 ANDRADE, MARIEL O
133 13 462947 ANG, AARON JAMES F
134 13 460130 ANG, CARMINA JANINE L
135 13 463521 ANG, DOMINIQUE Y
136 13 477135 ANG, MARIA JOANNA OLIVIA T
137 13 462395 ANGCO, MARK EZEQUIEL T
138 13 472484 ANGELES, JOBELLE B
139 13 469248 ANGELES, THEA CLAUDETTE A
140 13 476743 ANGELO, DONABEL R
141 13 466878 ANGELO, MARVIN S
142 13 469682 ANHAG, HANNAH A
143 13 465128 AÑONUEVO, ALDRIN G
144 13 472865 ANOSAN, LEAH D
145 13 477925 ANSANO, DARYL D
146 13 466900 ANSOYON, CYRENE D
147 13 465422 ANTERO, CARLO C
148 13 478270 ANTONIO, ANTONIO GABRIEL P
149 13 463537 ANTONIO, GLENN VALERIE A
150 13 467045 ANTONIO, SHIELA LOUISE M
151 13 469137 ANUAT, JAIZA MARIAN E
152 13 475958 ANULAT, MARIA NANCY D
153 13 472211 ANZA, ERIC B
154 13 471694 APELLINA, JOANA PAULA F
155 13 469124 APIN, ALNER ALEXIS G
156 13 465530 APODACA, KATHERINE MAY G
157 13 478027 APOLONIO, LARA NIKKI R
158 13 460749 APROVECHADO, GLENDY C
159 13 478225 APUGAN, JELISSE BRIANE W
160 13 475585 AQUILON, KIMBERLY V
161 13 466653 AQUINO, ARTURO B
162 13 460092 AQUINO, CATHERINE M
163 13 477550 AQUINO, DARVIN JASON B
164 13 464399 AQUINO, DEANNE ALYSSA A
165 13 469617 AQUINO, EDRALYN A
166 13 460800 AQUINO, ERNELL MATTHEW S
167 13 470049 AQUINO, FRANCISCO III F
168 13 460318 AQUINO, JERYCEL L
169 13 460193 AQUINO, KENNETH M
170 13 473629 AQUINO, MA DITA LOREN D
171 13 460253 AQUINO, MARITES B
172 13 478397 AQUINO, RAUL Q
173 13 464395 AQUINO, RICHARD F
174 13 465473 AQUINO, ROSE ANN GILLIAN C
175 13 470642 AQUINO, TRISHA C
176 13 475249 ARAFOL, AIVY P
177 13 476146 ARAGON, BERLIN M
178 13 463684 ARAMBULO, MARIEL ANNE B
179 13 461584 ARAMIL, KEITH B
180 13 466179 ARANGOTE, ARIANE D
181 13 473834 ARANTE, APRIL C
182 13 465429 ARAO, GENALYN S
183 13 470876 ARAOJO, SHENNIE P
184 13 461697 ARAZO, MARY JOY H
185 13 470318 ARBOIS, JAY ANN B
186 13 472300 ARBOLEDA, KEVYN IRA C
187 13 470978 ARBUES, JONATHAN J
188 13 470240 ARCADIO, NICOLAI P
189 13 466469 ARCAN, MAY V
190 13 471377 ARCENA, MICHAEL M
191 13 470567 ARCENAL, JONARD BRIAN R
192 13 460207 ARCO, ROWELL J
193 13 468500 ARELA, JUSTINE MICHAELLA C
194 13 477102 ARELLANO, EDINA GRACE M
195 13 477105 ARELLANO, LEZIEL A
196 13 462962 AREVALO, ROBERT JR R
197 13 475619 ARGALLON, RHINA JANE M
198 13 470542 ARGENTE, ALAN RAY M
199 13 469771 ARGENTE, JOSE MIGUEL M
200 13 465492 ARICAYOS, TIMI CLAUDINE M
201 13 464093 ARIZALA, ANNA KATRINA S
202 13 474449 ARMAS, JAMES CLIFFORD C
203 13 461849 ARMEDILLA, MICHELLE ANNE P
204 13 462589 ARTAGO, JEANNE L
205 13 475819 ARTES, ARJAY V
206 13 471867 ARTEZA, NILIEROSE J
207 13 465861 ARVESU, BETSY T
208 13 470539 ASALDO, RUZEL JOI C
209 13 473340 ASEDILLO, NICOLE M
210 13 476168 ASERIOS, APRIL DIANE O
211 13 472048 ASILO, KRISTAL JEAN G
212 13 473931 ASOTILLO, LORENZO CHRISTIAN C
213 13 467682 ASPA, DEYMART G
214 13 475544 ASPERA, AUDE-ASTRA L
215 13 463546 ASTOR, ARIANA N
216 13 470226 ASTOVEZA, AZELA N
217 13 464894 ASTUDILLO, NERIZA J
218 13 475193 ASUNCION, VOLTAIRE
219 13 461290 ASUNCION, XAVIER EUGENIO A
220 13 474590 ASURO, CHRIS JAMES A
221 13 467899 ATA, RON ANDRE Z
222 13 468030 ATANACIO, JOSEPH CYRIL R
223 13 477643 ATIENZA, MARIA CONSOLACION S
224 13 476167 AURE, ANDREA AIRA S
225 13 476752 AURELLANO, JOHN PAUL B
226 13 478293 AUSTRIA, MA FE B
227 13 467266 AVEJAR, KRIZIA CASEY P
228 13 467244 AVENDAÑO, MILROSE V
229 13 474466 AVESTRUZ, KRISTINE JANE S
230 13 463241 AVILA, NIKKI T
231 13 471129 AVILA, PRINCESS ELLA V
232 13 471580 AYALA, TRICIA MARIE B
233 13 472343 AYONAN, KAREN B
234 13 475189 AYTONA, IERA NAIRA D
235 13 474996 AZARES, CHRISTINE DENISE R
236 13 476325 AZUR, ZAIRAH MAE B
237 13 460998 BACAY, PAULINE F
238 13 460990 BACOLOD, GENEVIEVE B
239 13 466622 BACOS, DERELYN L
240 13 468069 BACTOL, MARK DANIELLE C
241 13 475503 BACULOT, ARGENTINA A
242 13 477687 BAGA, STIFFANY HANA P
243 13 476131 BAGUS, CERRIE MARIE C
244 13 474539 BAILON, BEATRIZ SELAH Q
245 13 469123 BAJA, JEAN PHILIPPE A
246 13 477610 BAJADO, GLECEL N
247 13 469635 BAKING, JESSICA ANN H
248 13 469382 BALAGSA, JENNIFER B
249 13 471337 BALAHAY, JYMMAR B
250 13 470600 BALANE, JOMAR P
251 13 478271 BALANI, CRISTHEL JOY M
252 13 461667 BALANQUIT, NESETH L
253 13 476124 BALANUECO, RICHELLE QUEEN Z
254 13 461527 BALANZA, JEFF EMERSON SJ
255 13 467741 BALANZAT, ALLYSSA R
256 13 476773 BALAOING, JOSEPH RAINIER D
257 13 463737 BALASBAS, ELINOR JR C
258 13 466899 BALEROSO, JUNN PAOLO B
259 13 467443 BALGOS, MARC FENN T
260 13 470996 BALGUNA, SONNENSCHEIN C
261 13 476338 BALICANO, JOHN MARK P
262 13 469050 BALIGOD, KATRINA ANGELICA A
263 13 463999 BALILING, DIADEM JOY B
264 13 468097 BALIWAG, JHOEM B
265 13 474399 BALLENA, MARVIN A
266 13 470937 BALMATERO, LESLIE D
267 13 464090 BALTAZAR, ALRAN R
268 13 472495 BALTAZAR, JAN KENNETH
269 13 464486 BALTAZAR, MARIA PRECIOSA A
270 13 476586 BALUCAN, IRA TASHA MARI H
271 13 471994 BALUNGGAYA, RICA A
272 13 471375 BALURAN, STEPHEN EDWARD G
273 13 472488 BALUYUT, VANNYVE P
274 13 471176 BAÑACIA, HERZL ERIN F
275 13 464048 BAÑACO, FELIZA ILIANA P
276 13 460674 BAÑAGA, KENNETH RICHARD JAN C
277 13 463295 BAÑARES, JAN DENZEL S
278 13 477065 BAÑARES, MARIELLE S
279 13 461761 BAÑARIA, CHERRYL IRENE G
280 13 477726 BANCOSTA, BLANCA B
281 13 474481 BANDE, WHISLEY ERRON U
282 13 465649 BANGUG, ABIGAIL B
283 13 461895 BANGUG, BIANCA S
284 13 474496 BANTASAN, CHRISTINE J
285 13 462331 BANTOTO, ROSELL D
286 13 468357 BANZALES, HARMON WILSON N
287 13 471932 BANZUELA, MANUEL JR S
288 13 469069 BAOANAN, CLARISSA C
289 13 462732 BARADI, KATHERINE F
290 13 471349 BARAÑAO, JAZZMIN A
291 13 463323 BARAOED, CHARMAINE LOVE B
292 13 471137 BARBACENA, MHEA JANE A
293 13 461186 BARBERO, APPLE B
294 13 464484 BARCENAS, REYMOND S
295 13 464643 BARNACHEA, MARY JOY H
296 13 461779 BARON, MARIA CARMINA S
297 13 476705 BARQUIN, NEDHELINE S
298 13 473560 BARRAZA, JANET L
299 13 477221 BARRETTO, JEREMI ELAIJAH M
300 13 465627 BARRO, NARCISO III B
301 13 472637 BARROGA, MARC MARRION S
302 13 470276 BARROLA, JONALYN P
303 13 461838 BARTOLATA, JOVI FEZ B
304 13 466082 BARTOLOME, CZAIRA C
305 13 473596 BASA, CATHREENA ANGELICA M
306 13 471400 BASCAR, ALYANNA THERESE B
307 13 460590 BASILAN, CHARLENE L
308 13 460053 BASILIO, SONNY DANIEL P
309 13 467957 BASMAN, ANAFARHANA B
310 13 461850 BASS, DIANNE FAYE B
311 13 469380 BATIAO, MARILENE T
312 13 463237 BATTUNG, KARIZZA P
313 13 460790 BATTUNG, MARC GAUVIN M
314 13 463968 BATUA, ANA SHAHANI B
315 13 460917 BATUA-AN, MOHAMAD BOLKIAH R
316 13 473896 BAUTISTA, ANGELINE B
317 13 464935 BAUTISTA, EUNICE MARIE I
318 13 463066 BAUTISTA, JAYSON MARVIN M
319 13 464846 BAUTISTA, NICOLETTE SHERYDAN
320 13 474540 BAXINELA, JERONE VICKY E
321 13 473783 BAYANG, CHRISTINE GAY D
322 13 466649 BAYANI, ANGELICA MARIE S
323 13 470833 BAYAUA, NATHANIEL C
324 13 460442 BAYBAYAN, VINCENT T
325 13 465095 BAYLON, CHERYL B
326 13 475204 BAYLON, MARK LLOYD P
327 13 478116 BAYONA, MA ELAINE ANNE C
328 13 469874 BAYONA, MALOU C
329 13 471041 BAYOT, MARIA CHARISSE DENISE B
330 13 460100 BAYSA, LINGLINGAY L
331 13 463100 BAYSA, MICHELLE L
332 13 463634 BECHAYDA, AILEEN G
333 13 471192 BECINA, CHRISTINE BLESSERIE I
334 13 474094 BEJASA, MARLOU G
335 13 476363 BELANO, JUSTIN C
336 13 467412 BELARMINO, MARY GRACE E
337 13 473335 BELGA, MELANIE MAE C
338 13 474440 BELJANO, ROSEMARIE A
339 13 469665 BELLEZA, LESLEY ANN A
340 13 466688 BELLO, APRIL ROSE S
341 13 472933 BELLO, DANILO JR C
342 13 476082 BELTRAN, ANNABELLE U
343 13 475572 BELTRAN, GILLIAN YVETTE F
344 13 462696 BELTRAN, MARGARETTE CHESKA G
345 13 463740 BELTRAN, ROMEO JR F
346 13 460418 BELTRAN, VERONICA D
347 13 471826 BENAMIRA, JORMAN D
348 13 465545 BENEDITO, ALEXIES A
349 13 471894 BENIPAYO, ETIENNE ALPHONSE B
350 13 467317 BENITO, JETHRO PAUL G
351 13 472636 BENITO, JETREI BENEDICK R
352 13 461787 BERDOS, KRISTIANA R
353 13 478067 BERGADO, FRANCIS CHRISTOPHER N
354 13 463480 BERNABE, ARMAN P
355 13 464274 BERNABE, JOHN MICHAEL S
356 13 461835 BERNAL, ELBERT B
357 13 475894 BERNALES, ELEAZAR B
358 13 461160 BERNARDINO, AILEEN U
359 13 462836 BERNARDINO, CHRISTINE B
360 13 472976 BERNARDINO, EDGAR BRYAN G
361 13 467300 BERNARDO, JOHN AARON M
362 13 473089 BERNARDO, JOHN HARVIN S
363 13 472512 BERONIO, DEXTER C
364 13 472943 BERRO, EMMEL LUZZ S
365 13 477828 BERSALES, DOROTHY JOY V
366 13 474861 BERSALO, LEOMELYNE B
367 13 472130 BESABE, SARAH JANE P
368 13 474931 BESONIA, KATHLEEN RYAN A
369 13 468982 BIENE, BRYLLE D
370 13 476623 BIENES, CINFY B
371 13 467450 BIGCAS, SANDRA LOURENCE R
372 13 462017 BILLONES, KATE KRISTEL V
373 13 478358 BINARAO, GERAND LEEYAN D
374 13 463927 BINASOY, JONALYN P
375 13 463587 BINOS, MARY ANN F
376 13 464067 BINUYA, MELISSA JANE M
377 13 477712 BIOLENA, ANDREA Q
378 13 465547 BISCARA, MARK ALLEN A
379 13 463934 BITONGA, MA CIELO C
380 13 469073 BLASCO, ANA BLESSILDA N
381 13 474649 BOA, ARRA D
382 13 469494 BOBARES, JENINA MARIELLE L
383 13 463529 BOBIER, GABRIEL EDUARDO R
384 13 460566 BODEGAS, RACHEL ANN S
385 13 471085 BOHOL, RACIVE JAN
386 13 473863 BOLAÑOS, ELLEN GRACE M
387 13 469843 BOLANTE, GLADY A
388 13 463510 BOLOS, MARIA GRACIA PATRICIA S
389 13 472896 BOLOTAOLO, PHILIPPE ELIZAR D
390 13 467766 BOMBALES, MARIA ROSSELA L
391 13 469875 BONBON, EBENEZER R
392 13 472438 BONBON, JESSICA F
393 13 467783 BONDOC, CLARENCE BORG O
394 13 466097 BONETE, HAYES HARMEL D
395 13 463595 BONGAT, MA CARLEEN S
396 13 462534 BONIFACIO, JOSEPH JOHN C
397 13 475468 BONILLA, ELOISA JANE P
398 13 461438 BONINA, JAYSON B
399 13 475398 BONITO, OLIVER O
400 13 475441 BONITO, ROSELYN S
401 13 474196 BONOAN, JOLENE EVE C
402 13 460107 BORDEN, JENNET D
403 13 475960 BORDIOS, ALDREN N
404 13 463900 BORJA, RAIZZA MAE P
405 13 461047 BORLEO, ARIANE V
406 13 464149 BORNILLA, DIOSYLA N
407 13 461250 BORRES, JOSHUA G
408 13 466246 BORRO, VERONICA I
409 13 466686 BORSIGUE, CARISAME A
410 13 476742 BOTO, IVANA RICHELLE M
411 13 475599 BRAVO, JOHN KIM EMMANUEL C
412 13 463539 BRILLANTES, LUZALBE T
413 13 475754 BRILLO, EDEN GILLIAN P
414 13 464379 BRINGAS, FLORA R
415 13 467197 BRINGAS, KATRINA ANDREA L
416 13 461574 BRINGAS, PATRICK R
417 13 469299 BRIONES, CHELSI ARA L
418 13 469168 BRIONES, INOCENCIO ARIEL JR L
419 13 464386 BRIONES, RENITA ANNETTE G
420 13 475993 BUBAN, FRANCO G
421 13 466378 BUCAD, ROCELO JR F
422 13 465632 BUCOG, KATRINA ELLICE A
423 13 473791 BUDUAN, CAMILA S
424 13 465866 BUENAVENTURA, AIZA B
425 13 470762 BUENAVENTURA, MARY JANE J
426 13 467870 BUENO, DON EDWARD A
427 13 476476 BUENO, PAULENE NIÑA O
428 13 473339 BUERE, JANE C
429 13 474446 BUHAYO, ARJENNE E
430 13 467474 BUID, GLENDA L
431 13 466076 BULAN, JONICO REY S
432 13 477751 BUMAGAT, JENNIFER O
433 13 465299 BUNAG, ANGELINE S
434 13 470342 BUNCAB, LOVELLE DIANNE L
435 13 473302 BUNDANG, ROWENA B
436 13 476339 BUNGABONG, MA ADA CARINA P
437 13 473897 BUNGCAYAO, MARIONE BIEN A
438 13 464711 BUSTAMANTE, ANDY L
439 13 475870 BUTANTAN, JESSA MARIE L
440 13 469031 BUTANTAN, OBERLY MAE T
441 13 464880 CAADAN, CATHERINE D
442 13 474012 CABACES, LLOYD ANGELO L
443 13 473545 CABAL, MARY ANGELIQUE L
444 13 461065 CABALLERO, PETER JAYSON L
445 13 466792 CABANA, STEPHANIE T
446 13 469390 CABANAG, KYLE LOUISE N
447 13 464216 CABANGBANG, JOSE JR A
448 13 476935 CABANOG, CHARIFE M
449 13 467132 CABANTOG, FAUSTINA MARIE M
450 13 472394 CABATIAN, RACHELLE DIVINA R
451 13 476153 CABAUATAN, JESSA CAMILLE E
452 13 462996 CABEZUDO, MAY ANNE B
453 13 463594 CABIGAO, GRACE KAMILLE J
454 13 461362 CABIGAS, DAHLIA T
455 13 472160 CABLAO, DONNA RIZZA A
456 13 460144 CABUNGCAL, JANELA B
457 13 473840 CACANANTA, JOHN LESTER V
458 13 463800 CACDAC, VINCE GABRIEL A
459 13 469046 CADELIÑA, JENETH F
460 13 464802 CADORNIGA, MILLICENT B
461 13 465475 CAGA, RONEL JAN VINCENT S
462 13 470495 CAGAS, JERICO C
463 13 465224 CAGUIA, TEDD ALVIN D
464 13 468219 CAIS, MARK ALFRED D
465 13 477801 CAJURAO, ADRIAN N
466 13 460242 CALABIG, FRANCES ANNE G
467 13 472591 CALADO, KAREN JOY C
468 13 469838 CALALANG, MARIA CARMELA C
469 13 466020 CALALO, MARICRIS LHEN B
470 13 466499 CALAMBA, ROWENA B
471 13 474232 CALAQUE, PRECY MAE C
472 13 462279 CALAYAG, VENICE MARIE F
473 13 474050 CALDERON, RANIELLE MARIE JOYCE E
474 13 477996 CALIBUSO, DAVID GABRIEL B
475 13 474068 CALICDAN, JENNILYN L
476 13 478104 CALILONG, RALPH MELVIN N
477 13 474137 CALIMAG, DANIEL ROYCE G
478 13 472947 CALING, KATHRINA S
479 13 462424 CALINOG, OMEGA JANE R
480 13 465695 CALIVARA, RALPH EMERSON R
481 13 475129 CALIXTRO, MA FATIMA M
482 13 477120 CALMA, ROSE ANN LORRAINE H
483 13 465384 CALO, WILBUR S
484 13 470699 CALUGAY, DONNA ROSE B
485 13 469319 CALUMPAD, ARIAN MARI T
486 13 471746 CALUSIN, MARY CAR V
487 13 467699 CALZADA, SHIELA MARIE R
488 13 472595 CAMBI, JUN-JUN R
489 13 463089 CAMERINO, KEVIN MARTIN S
490 13 478000 CAMPO, AL JUMY A
491 13 467245 CAMPOSAGRADO, MEI LI M
492 13 462698 CAÑALES, RUTH ANN U
493 13 469156 CANDO, VANESSA P
494 13 475883 CAÑETE, BEA BIANCA O
495 13 467999 CANGUIT, JETRO L
496 13 478292 CANLAS, ARAH ANGELICA L
497 13 471692 CANO, LUZYANT B
498 13 466867 CANOY, MARY DIANNE T
499 13 460549 CAPADOCIA, GIDEON JUSTINE E
500 13 466247 CAPAREDA, KRYSTEL JOYCE S
501 13 462343 CAPILI, KARLA V
502 13 473778 CAPIRAL, JEROME C
503 13 478901 CARABIO, ALDRIN M
504 13 477826 CARANDANG, CHRISHA S
505 13 472149 CARAOS, INGRID A
506 13 473977 CARBAQUIL, CARMELA DAWN P
507 13 465931 CARDENAS, LOUIE NEIL B
508 13 472272 CARIÑO, ARLEXANDRIA LOUISE F
509 13 469405 CARINO, ROBERTO O
510 13 474499 CARMONA, GEODICIO LOYD P
511 13 462073 CARO, MARY GRACE Y
512 13 474032 CARONAN, REMALYN T
513 13 461191 CARONOÑGAN, ANA BETTINA D
514 13 478198 CARREDO, JEAN G
515 13 477454 CARREON, CLEO R
516 13 478552 CARREON, GERMAINE VIDA L
517 13 478742 CARREON, ISAGANI S
518 13 462048 CARREON, IVORY ROSE B
519 13 474771 CARREON, JEANINNE C
520 13 463087 CARREON, LEIFEL JOSEPH M
521 13 470923 CARREON, MARGERO RAYNELL F
522 13 471078 CARREON, MARGERY ROANA F
523 13 470682 CARRIAGA, ROMINA ABIGAIL G
524 13 462977 CARZON, GREGORIO IV D
525 13 468987 CAS, JANE F
526 13 476673 CASASOLA, SARAH JANE F
527 13 462847 CASILIHAN, ARNIE I
528 13 465050 CASILISILIHAN, JOHN MARK P
529 13 460430 CASILLA, GERARD RIO E
530 13 465640 CASIMIRO, RUTH M
531 13 461997 CASLIB, CAMILLE T
532 13 469165 CASPILLO, SHEENAMAE L
533 13 472000 CASTANDIELLO, SHARMAINE JOY G
534 13 463644 CASTELL, RYAN T
535 13 470450 CASTELLANO, RUBEN JR A
536 13 472535 CASTILLA, JENEL S
537 13 465784 CASTILLO, DANIEL ALBERT E
538 13 465850 CASTILLO, HARVEY JAMES G
539 13 474171 CASTILLO, JOMMY G
540 13 466585 CASTILLO, JUDY ANN S
541 13 465107 CASTILLO, LIZA C
542 13 467815 CASTILLO, MICHELLE G
543 13 461644 CASTILLO, NEOWY LINDSAY G
544 13 473799 CASTILLO, SEE SANDRA C
545 13 472680 CASTILLO, SHELLY S
546 13 460699 CASTILLO, SHIELLA ROSE C
547 13 471047 CASTILLON, ELFO ANGELO M
548 13 470686 CASTOR, SAMUEL C
549 13 473848 CASTRO, LAETRELL WINSLOW A
550 13 473643 CASTRO, MENARD DC
551 13 471015 CASTRO, ROLLY C
552 13 462942 CASUPANAN, TRIXIA MAE E
553 13 470487 CATBAGAN, CRISTY T
554 13 469170 CATIGNAS, JEROME S
555 13 473870 CATOLICO, RANDOLF M
556 13 474150 CATUNGAL, SAIRAH MAE S
557 13 478837 CAUILAN, REGGIE ANNE M
558 13 465897 CAUYAN, EDMUND LINUS SJ
559 13 469569 CAVALIDA-GUIPOSPOSA, ARGENTINA B
560 13 460770 CAVAS, ERICKA V
561 13 478887 CAYABA, ELLEN JOY C
562 13 467376 CAYABYAB, ANGELINE DENDEN C
563 13 477150 CAYAMANDA, RYAN MOSES G
564 13 462441 CAYOSA, DOMINGO ANGELO F
565 13 461350 CAYOSA, MARCELO TEODORICO F
566 13 463235 CEA, ANGELA NIKKI B
567 13 467050 CEDO, MARIA CARLA
568 13 474940 CELESTINO, SHELA MAE E
569 13 464836 CELIS, JADELYN B
570 13 471234 CENON, GRACE ANN A
571 13 473187 CENON, GRACE ISABEL M
572 13 476986 CENTENO, NESCY JOHN B
573 13 468299 CERDA, ERRIL JADE C
574 13 461209 CEREZO, ALEXIS Y
575 13 460778 CERILLO, GERIFEL Y
576 13 470275 CERVERA, KARLA A
577 13 461920 CETENTA, MARK LESTER C
578 13 464100 CHAN, JAYSON HOWARD C
579 13 471182 CHAN, JULIA ANGELINE D
580 13 476111 CHAVEZ, KARL ANDREW S
581 13 461689 CHIONG, ERISH E
582 13 475154 CLARETE, JOANNA MARIE L
583 13 472148 CLARIÑO, SEAN CARLO G
584 13 475700 CLEOFAS, KRISTINE E
585 13 475329 CLEOFE, JAN JERICK V
586 13 468949 CO, ANGELICA JOYCE L
587 13 462512 CO, GILBERT PATRICK D
588 13 471780 CO, MARK JOSEPH R
589 13 476362 COBARRUBIAS, CEDELLA MAE P
590 13 475151 COBARRUBIAS, MA BETINA CLARIZZE P
591 13 465088 COBICO, JAZMINE ROSE V
592 13 462872 CODIA, GRETCHEN F
593 13 469993 COLIPANO, APRILLE G
594 13 475878 COLITOY, JAZIEL EUNICE D
595 13 466239 COLLANTES, ANTHONY A
596 13 460003 COLOMA, LYNETTE V
597 13 470967 COLOS, JENNIFER R
598 13 461328 COMAYA, RACHEL T
599 13 468894 COMETA, MADGE EILEEN S
600 13 471784 COMIA, MARLON T
601 13 476275 COMINGUEZ, CLARISA C
602 13 466143 COMPETENTE, JASPER M
603 13 466672 COMPUESTO, BERNADETTE A
604 13 478757 CONAG, APRIL JOY D
605 13 475914 CONCEPCION, MARIA GRACIA R
606 13 461544 CONCEPCION, NIRON BRYLLE S
607 13 478478 CONCHADA, ROSS GERICK M
608 13 470838 CONCORDIA, OMAR GERARD M
609 13 468390 CONDEMILICOR, ANNA PATRICIA R
610 13 465024 CONDES, RAYMOND C
611 13 470440 CONESE, JOHN ELVIN R
612 13 466677 CONSADOR, ROSARIO JOY A
613 13 476884 CONSTANTINO, NIÑO GIANNI E
614 13 476588 CONTRERAS, PAOLO MIGUEL B
615 13 463956 COPRADA, ARMANDO P
616 13 476810 CORDIAL, STEPHEN NOEL L
617 13 460429 CORDOVES, NICOLE I
618 13 478739 CORNEJO, JOYVEE T
619 13 478261 CORPUZ, AMEERA FRANCHESKA B
620 13 465671 CORPUZ, GERLIE JANE L
621 13 462285 CORPUZ, JUSTINE CASEY Z
622 13 478100 CORPUZ, MARIA KATRINA A
623 13 460691 CORRALES, EARL JUSTINE A
624 13 475956 CORRE, JENEVIEVE M
625 13 460745 CORTES, ALLANA ERICA D
626 13 477215 CORTES, HERNAN LOUIS S
627 13 475701 CORTEZ, DAREN D
628 13 464693 COSTO, JEAN KARL GERARD S
629 13 470898 CRAPATANTA, CRIZZA MAE R
630 13 460921 CRISOSTOMO, JOANA ROSE B
631 13 466646 CRISTALINO, AMAYA LINA L
632 13 474863 CRISTOBAL, GERONIMO JR F
633 13 466991 CRISTOBAL, JOAN JOY N
634 13 465590 CRISTOBAL, MELANIE H
635 13 462527 CRUCERO, TDBOY S
636 13 466139 CRUZ, AMIKA MAE P
637 13 465436 CRUZ, ARIANE A
638 13 477898 CRUZ, ATHENS S
639 13 465832 CRUZ, BELEN E
640 13 466288 CRUZ, CARLA MARIELLE B
641 13 465973 CRUZ, DANIELLE B
642 13 474623 CRUZ, EMMANUELITO S
643 13 476423 CRUZ, JAYMEE JEANNE B
644 13 469642 CRUZ, JEANNE ARAMAE C
645 13 467622 CRUZ, JERONE PAVEL C
646 13 469791 CRUZ, JILLIAN MAE A
647 13 477140 CRUZ, MARIA PATRICIA S
648 13 472923 CRUZ, NEIL T
649 13 476907 CRUZ, NICOLE BEATRIZ M
650 13 477122 CRUZ, PETER KEVIN V
651 13 475489 CRUZ, ROSE ANNE B
652 13 475962 CRUZ, ROSELLE STELLA DM
653 13 464729 CUA, JOEMARI Y
654 13 470590 CUARTO, NIÑA CRIZIA T
655 13 463984 CUASAY, KSHAYRA MAGNE V
656 13 464992 CUDIA, MA CONCEPCION P
657 13 465480 CUENCA, HARK JAESTIN S
658 13 464445 CUENCA, JULIA HAZEL S
659 13 467724 CULALA, ARNEL H
660 13 467942 CUNANAN, NIKKI HARRIET DC
661 13 475896 CUNETA, GERMAINE
662 13 477250 CUPIDO, MAE ALDINE A
663 13 465080 CURIBA, MARIGYN B
664 13 463788 CUSTODIO, JAY-AR T
665 13 465714 CUSTODIO, JOHN LESTER M
666 13 465694 CUYA, DANA LARAINE E
667 13 476038 DABU, JANE BLESSIE D
668 13 473243 DACALANIO, JOHN CARLO M
669 13 460963 DACANAY, CAMILLE ANNE C
670 13 471800 DACOCO, ANTHONY CORNELL M
671 13 472142 DACOCO, PREZEUZ DAWN M
672 13 473047 DACUMOS, CHRISTIAN JOSEF A
673 13 471450 DACUNES, RICHBELLE G
674 13 462140 DACUNO, MARIA ELAINE ROSE S
675 13 466209 DAEP, JOANNA MARIE S
676 13 469747 DAGUIO, KEITH GERARD L
677 13 467650 DAHILIG, MARISSA M
678 13 473722 DAJAC, AMABELLE C
679 13 473781 DAJAC, MICHELLE C
680 13 460368 DALA, CHRISTINE C
681 13 462190 DALANGIN, MARY ANNE M
682 13 461892 DALAY, JULIUS NICOLL Z
683 13 473439 DALENA, AYHEN LOISSE B
684 13 467936 DALIDA, MA LOUISA H
685 13 471242 DALISAY, MARIA DOMINIQUE C
686 13 460572 DALISTAN, JIM RICHARD C
687 13 460619 DALISTAN, MA FLORIZA B
688 13 465919 DALUPANG, ANSON F
689 13 465216 DAMIAN, ABEGAEL C
690 13 475221 DAMIAN, ZENITH KAL-EL DC
691 13 464569 DAMULOG, MELODY F
692 13 469014 DANCEL, LEI LANNA M
693 13 476896 DAÑO, LUZBEL
694 13 471417 DANZALAN, JERALYN S
695 13 467800 DAOS, MARNIEL IAN S
696 13 463005 DARILAG, ROEHL JOY O
697 13 461677 DARUSIN, ELISHA A
698 13 461981 DASIG, DANIELLA MARIE B
699 13 464146 DATU, JOANNE PAULINE P
700 13 476304 DATUIN, DARWIN V
701 13 473584 DATUIN, KEITH FLOYD B
702 13 478556 DAVALOS, MARY ERAIZA B
703 13 466488 DAVID, ERIZE MAE E
704 13 463437 DAVID, HANNAH ABIGAIL O
705 13 462662 DAVID, JAMES ROSS T
706 13 467198 DAYAO, ANAFE REGINE T
707 13 473534 DE CASTRO, DANIEL JAM D
708 13 475681 DE CASTRO, DAVID FAUSTINO T
709 13 478743 DE CASTRO, MARY KRISTINE L
710 13 471043 DE CHAVEZ, ANDREA MAY G
711 13 475766 DE GRACIA, ROBI JERICO O
712 13 467491 DE GUZMAN, ANGELIE F
713 13 478504 DE GUZMAN, EMERITO JR G
714 13 467287 DE GUZMAN, GABRILLE G
715 13 466085 DE GUZMAN, KIMBERLYN K
716 13 471222 DE GUZMAN, ROBBY A
717 13 471642 DE GUZMAN, YAZMIN MARY A
718 13 462754 DE JESUS, MARILYN L
719 13 465166 DE JUAN, KIMBERLY C
720 13 469189 DE JUAN, MARICOR S
721 13 467884 DE LA CRUZ, FREELYN C
722 13 470079 DE LA CRUZ, PATRICIA MAE D
723 13 478181 DE LARA, ALMA M
724 13 473092 DE LARA, KIMBERLY V
725 13 461900 DE LEON, ALLANA LAINE A
726 13 464391 DE LEON, DARWIN C
727 13 476324 DE LEON, HANNAH CAMILLE H
728 13 460746 DE LEON, JOHN GHIO P
729 13 461341 DE LEON, MARY ANNE O
730 13 470510 DE LEON, MARY LOUISE SP
731 13 465025 DE LEON, MARYLAN L
732 13 470897 DE LEON, PAULINE L
733 13 475435 DE LEON, REGINALD ROMAINE A
734 13 463162 DE LEON, ROMELITO G
735 13 471380 DE LOS REYES, CRISTINA MARIE C
736 13 476604 DE LOS REYES, MARIA SHERLIE B
737 13 468546 DE LOS SANTOS, JOANNA MARIE B
738 13 463969 DE LOS SANTOS, MAUREEN J
739 13 475974 DE LUNA, NICOLE ANN PORTIA U
740 13 477011 DE MESA, CRISANTO A
741 13 465329 DE PEDRO, EMBER LEI V
742 13 472374 DE SILVA, JOHN RESTY E
743 13 462337 DE SILVA, KAHLIL CHRISTA B
744 13 469149 DE TORRES, SHERLENE A
745 13 471781 DE VERA, MELVIN M
746 13 475702 DE VERA, SHEILA MAE B
747 13 477332 DE VILLA, BIEN ANTHONY A
748 13 469962 DEL CASTILLO, RICARDO JR A
749 13 467313 DEL MUNDO, ERWIN J
750 13 477440 DEL PRADO, JUSTINE JEAN M
751 13 472015 DEL ROSARIO, JOANNAH DS
752 13 477679 DEL ROSARIO, KERSTIEN YVON L
753 13 460409 DEL ROSARIO, MA RODELLA C
754 13 464641 DELA CRUZ, ALLEN JOHN A
755 13 464824 DELA CRUZ, ALLYSS MAE A
756 13 475731 DELA CRUZ, ANGELIE A
757 13 466993 DELA CRUZ, CHERYL A
758 13 474195 DELA CRUZ, FRANZ MIKHAIL C
759 13 460858 DELA CRUZ, JAYEVEL F
760 13 478647 DELA CRUZ, MA KARISSA A
761 13 466588 DELA CRUZ, REINA REIZA M
762 13 460730 DELA CRUZ, ROSE MAY D
763 13 460744 DELA PEÑA, EZEKIEL V
764 13 465863 DELA ZERNA, EISEN A
765 13 467759 DELARMENTE, FERDINAND H
766 13 478558 DELEN, LADY SHERLYN B
767 13 478345 DELFIN, IRENE MAY E
768 13 475563 DELMENDO, KHYLE E
769 13 470965 DELOS REYES, ANDRIANNE AUDREY T
770 13 472337 DELOS REYES, ANGELLIE MAE A
771 13 461784 DELOS REYES, AVY OLGA S
772 13 469110 DELOS REYES, RODEL S
773 13 465693 DELOS REYES, TRISHA ANNIKA E
774 13 476287 DELOS SANTOS, ALICIA GRACE B
775 13 477956 DELOS SANTOS, GENEL L
776 13 463847 DELOS SANTOS, IRA A
777 13 467897 DELOS SANTOS, KEN HAROLD D
778 13 460145 DELOS SANTOS, NEREEN C
779 13 475966 DELOS SANTOS, ROXANNE I
780 13 467144 DEMANA, ANNABEL JEAN G
781 13 469194 DEMITION, DANIEL V
782 13 469363 DERILO, MARY GRACE R
783 13 469648 DERRACO, ALONA U
784 13 471498 DESALES, ROSSELLE JOYCE D
785 13 477016 DESAMPARADO, ALEXANDRA T
786 13 476989 DESAMPARADO, ALEXIS T
787 13 466350 DEVIS, JAN MIKKA L
788 13 471299 DEYTIQUEZ, JESUS C
789 13 471939 DIAZ, JULIANE JOY L
790 13 475994 DIAZ, MIGUEL ANTONIO A
791 13 470569 DIEGO, JAMES D
792 13 474639 DIESTRO, MARIA MAE V
793 13 462509 DIKIT, RIZTOPHERSON A
794 13 464314 DILLENA, MA MARINELA V
795 13 477957 DIMAANO, EUNICE C
796 13 463142 DIMACULANGAN, MIGUEL C
797 13 476993 DIMAGUILA, CHERYLE L
798 13 477325 DIMALANTA, GENESIS P
799 13 463485 DIMAPANAT, NUR-HUSSEIN L
800 13 463343 DIMAPILIS, KATHERINE S
801 13 475108 DIMAYUGA, CARL FERDINAND M
802 13 471429 DIMAYUGA, LEA CHERIZ R
803 13 470396 DIMPAS, DENISE MARIE G
804 13 469090 DIÑO, PSYRILL A
805 13 474025 DIONISIO, SHIELA MARIE CZARINA L
806 13 472886 DIOPENES, REGINE MAE L
807 13 475109 DISTOR, ALYANNA KRISTINE T
808 13 472020 DITA, MARC JOHN P
809 13 463194 DITANGCO, JOHN REZ S
810 13 472075 DIZON, DIANN JOAN B
811 13 464840 DIZON, DOMINIQUE FELICIA MARIE B
812 13 461069 DIZON, IRENE-KAREN S
813 13 466950 DIZON, JANN CARLO E
814 13 461133 DIZON, JEMILLA LOUISE U
815 13 463045 DIZON, KRISHA JOY B
816 13 466739 DIZON, MA CAROLINA D
817 13 462979 DIZON, MA LIGAYA E
818 13 463596 DIZON, MARIA BERNADETTE L
819 13 477488 DIZON, REALYN MAE F
820 13 474785 DOCUSIN, CRISTEL D
821 13 460842 DOCUSIN, JON ERVIN D
822 13 466487 DOLENDO, JOMAR M
823 13 476377 DOMASIG, JANICE A
824 13 476322 DOMINGO, FREDDIE JR W
825 13 464430 DOMINGO, JAYCEE D
826 13 469346 DOMINGO, JOSE PAULINO M
827 13 466047 DOMINGO, LORENZ CHARLEMAGNE D
828 13 472225 DOMINGO, LORENZ JAY O
829 13 473129 DOMINGUEZ, JENELYN S
830 13 465449 DOMINGUEZ, TRIXIE J
831 13 478353 DOOMA, JOSEPHINE EMMA S
832 13 470341 DOQUE, BLESSIE C
833 13 461181 DORADO, JENIE MYRTLE F
834 13 472453 DOROJA, JOSELITO A
835 13 470844 DOYAGUIT, HARLENE S
836 13 465743 DRAGUIN, EDUARD JHAKE D
837 13 469824 DUARTE, GEENIEFER LOU C
838 13 461130 DUBLIN, JOHN LOUIE VICTOR A
839 13 465596 DUCULAN, PORTIA M
840 13 476830 DUCUSIN, ROMIELLE D
841 13 473182 DUENA, EUNICE S
842 13 467697 DUKA, ANGELICA G
843 13 462181 DULAN, CHRISTIAN JOE J
844 13 476789 DULAY, MARIA GIANINA S
845 13 465043 DULOG, DENWEL JEROME III A
846 13 474738 DUMBRIGUE, BERNADETH E
847 13 467587 DUMO, CHREZYL ANN M
848 13 463803 DUREZA, ANNA MARIELLA LOURDES S
849 13 477029 DURR, MIRALI M
850 13 476400 DYSANGCO, NICOLE MARGARET L
851 13 470397 EBIS, AELEEN MAE S
852 13 461812 EBORA, CHESTER ALAN D
853 13 478237 EBUE, KATHERINE EVE E
854 13 463993 EDAD, KATHERINE KAE S
855 13 477008 EDEN, RENDELL CLIFORD C
856 13 465910 EFREN, NELSON T
857 13 470631 EGIPTO, CHRISTOPHER CLARK R
858 13 463002 EGMILAN, ANA LISA F
859 13 460668 EGURROLA, MICHAEL WILFRED C
860 13 476863 ELEDIA, JASON D
861 13 475615 ELESTERIO, AIRA JOY M
862 13 461643 ELIZES, HEIDI V
863 13 471491 ELLORAN, MARK JOSEPH H
864 13 472239 EMBILE, ARALYN T
865 13 468080 EMBILE, REINA MAUREEN D
866 13 473488 EMPERADOR, CLAUDINE A
867 13 469500 ENAGE, FRISSA E
868 13 478098 ENCOMIENDA, KAREN BEATRIZ N
869 13 468271 ENDA, RYAN JOSHUA Q
870 13 460726 ENDALUZ, GENICA THERESE B
871 13 468895 ENDRIGA, FRANCES BEANE M
872 13 475942 ENGALLADO, OLIVER S
873 13 468378 ENGO, JUSTIN JOHN P
874 13 464143 ENRIQUEZ, ANNE LAURICE I
875 13 474889 ENRIQUEZ, GABRIELE C
876 13 472247 ENRIQUEZ, JOEBERT II C
877 13 475303 ENRIQUEZ, MISSIE ANN
878 13 475368 ENTIENZA, CHRIST MICHAEL C
879 13 475260 EREÑETA, LORENZO MANUEL G
880 13 463640 EREÑO, JUSTINE BENEDICT R
881 13 465588 EREÑO, REYNANDO B
882 13 477292 ERJAS, DAN MARK D
883 13 474973 ERJAS, KIMBERLY CHARLOT D
884 13 463643 ERLANO, PATRICE ERIKA M
885 13 472111 EROLES, ARMIE BARBARA S
886 13 465198 ESCANER, CRISTINA N
887 13 463371 ESCANLAR, RAMON JR D
888 13 475578 ESCOTOTO, MARIE DORIENEL G
889 13 463929 ESCULLAR, VANESSA DIANE C
890 13 464844 ESCULTURA, JERRY JR L
891 13 467806 ESCUTIN, GERARDO III C
892 13 461950 ESGUERRA, GRACE C
893 13 470871 ESPAÑOL, REX KARLO D
894 13 473375 ESPAÑOLA, JENMARIE M
895 13 469778 ESPERANZA, CARLO CHANTILLY REY A
896 13 475312 ESPINA, RODRIGO JR C
897 13 463292 ESPINO, ESTEPHANIE ANN R
898 13 477202 ESPINOSA, FLOREEN RUTH P
899 13 475376 ESPINOSA, JULIEN RAIZA T
900 13 465740 ESPIRITU, CHRISTAL JADE S
901 13 463149 ESPIRITU, PATRICIA MAE L
902 13 461442 ESPIRITU, RINA ISABEL ROXANNE D
903 13 465734 ESPUERTA, JEREMIAH JOHN C
904 13 473081 ESTACIO, RIZZLY JOYCE R
905 13 470777 ESTEBAN, MARIA CONOEL D
906 13 478796 ESTORES, CATHERINE MAE F
907 13 468823 ESTORNINOS, MARLIT A
908 13 467598 ESTRADA, AUDREY R
909 13 468844 ESTRADA, CELINA G
910 13 475171 ESTRADA, JOANA MARIE N
911 13 470760 ESTRADA, MAI D
912 13 473823 ESTRELLA, LADY WAYNE T
913 13 477242 ESTRELLA, MICHAEL JOHN E
914 13 472895 ESTRERA, ONIBAL MARION A
915 13 465943 ESTUBO, SARAH JANE N
916 13 477630 EUGENIO, JAIMIE ANN JOYCE L
917 13 475087 EUROLFAN, FREDERICK E
918 13 465835 EVANGELIO, RYAN JOSEPH E
919 13 467583 EVANGELISTA, HERLEEN JEAN B
920 13 475690 EVANGELISTA, KRISTOFFER PAUL P
921 13 468579 EVANGELISTA, LLOYD S
922 13 462896 EVANGELISTA, RAINALYNN L
923 13 473878 EVANGELISTA, TRINA LOUISSE L
924 13 472038 EVASCO, GILBERT Y
925 13 462323 EVIZA, MARK JOSEPH R

How to Solve Quadratic Problems Part 2

In the previous post, we have used quadratic equations to solve a word problem involving consecutive numbers. In this post, we discuss more quadratic problems. This is the second problem in the series.

Problem 2

Miel is 12 years older than Nina. The product of their ages is 540.

Solution

Let x = age of Nina
x + 12 = age of Miel

The product of their ages is 540, so we can multiply the expressions above and equate the product to 540. That is,

x(x + 12) = 540.

Multiplying the expressions, we have

x^2 + 12x = 540.

Subtracting 540 from both sides, we obtain

x^2 + 12x - 540 = 0.

We want to find two numbers whose product is -540 and whose sum is 12. Those numbers are -18 and 30.

This means that the factors are

(x – 18)(x + 30) = 0.

Equating each expression to 0, we have

x – 18 = 0, x = 18
x + 30 = 0, x = – 30.

Since we are talking about age, we take the positive answer x = 18.

This means that Nina is 18 years old. Therefore, Miel is 18 + 12 = 30 years old.

How to Solve Quadratic Word Problems Part 1

In the previous posts, we have learned how to solve quadratic equations by getting the extracting the square root, by factoring, and by quadratic formula. We continue this series by learning how to solve math word problems using quadratic equations. Most of the time, we need to rewrite the equation to the general form which is ax^2 + bx + c = 0.

Problem 1

The product of two consecutive positive even numbers is 48. What are the numbers?

Solution and Explanation

This problem can be solved mentally and by simple guess and check; however, we will solve it algebraically in order to illustrate the method of using quadratic equations.

Let
x = smaller number
x + 2 = larger number

From the given above, we can form the following equation.

Smaller number times larger number = 48

x(x + 2) = 48

By the distributive property, this results to

x^2 + 2x = 48

Now, we need to make this equation in general form ax^2 + bx + c = 0 so we can factor easily. To do this, we subtract 48 from both sides resulting to

x^2 + 2x - 48 = 0

By factoring, we need two numbers whose sum is 2 and product is -48 where the absolute value of the larger number is greater than that of the smaller. With this restriction in mind, we have the following pairs of factors whose product is -48.

{48, -1}, {24, -2}, {12, -4}, {8,-6}

From these pairs, 8 and -6 has a sum of 2. Therefore, the factors are

(x + 8)(x - 6) = 0

Equating to 0, we have

x + 8 = 0, x = -8
x - 6 = 0, x = 6

Since we are looking for positive integers, we will take x = 6 and x + 2 = 6 + 2 = 8.

Therefore, the two consecutive numbers are 6 and 8.

Check: The numbers 6 and 8 are consecutive numbers and their product is 48. Therefore, we are correct.

Solving Quadratic Equations by Quadratic Formula

In the previous post, we have learned how to solve quadratic equations by factoring. In this post, we are going to learn how to solve quadratic equations using the quadratic formula. In doing this, we must identify the values of a, b, and c, in ax^2 + bx + c = 0 and substitute their values to the quadratic formula

x = \dfrac{-b \pm \sqrt{b^2 - 4ac }}{2a}.

Note that the value of a is the number in the term containing x^2, b is the number in the term containing x, and c is the value of the constant (without x or x^2).

The results in this calculation which are the values of x are the roots of the quadratic equation. Before you calculate using this formula, it is important that you master properties of radical numbers and how to calculate using them.

Example 1: Find the roots of x^2 - 4x - 4 = 0

Solution

From the equation, we can identify a = 1, b = -4, and c = -4.

Substituting these values in the quadratic formula, we have

x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(1)(-4)}}{2(1)}
x = \dfrac{4 \pm \sqrt{16 + 16}}{2}
x = \dfrac{4 \pm \sqrt{32}}{2}.

We know, that \sqrt{32} = \sqrt{(16)(2)} = \sqrt{16} \sqrt{2} = 4 \sqrt{2}. So, we have

x = \dfrac{4 \pm 4 \sqrt{2}}{2} = \dfrac{2(2 + \sqrt{2}}{2} = 2 \pm 2 \sqrt{2}

Therefore, we have two roots

2 + 2 \sqrt{2} or 2 - 2 \sqrt{2}

Example 2: Find the roots of 2x^2 - 6x = 15

Solution

Recall, that it easier to identify the values of a, b, and c if the quadratic equation is in the general form which is ax^2 + bx + c = 0. In order to make the right hand side of the equation above equal to 0, subtract 15 from both sides of the equation by 15. This results to

2x^2 - 6x - 15.

As we can see, a = 2, b = -6 and c =-15.

Substituting these values to the quadratic formula, we have

x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4(2)(-15)}}{2(2)}

x = \dfrac{6 \pm \sqrt{36 + 120}}{4}

x = \dfrac{6 \pm \sqrt{156}}{4}.

But \sqrt{156} = \sqrt{(4)(39)} = \sqrt{4} \sqrt{39} = 2 \sqrt{39}.

Therefore,

x = \dfrac{6 \pm 2 \sqrt{39}}{4}.

Factoring out 2, we have

\dfrac{2(3 \pm \sqrt{39}}{4} = \dfrac{3 \pm \sqrt{39}}{2}

Therefore, we have two roots:

\dfrac{3 + \sqrt{39}}{2} or \dfrac{3 - \sqrt{39}}{2}

That’s it. In the next post, we are going to learn how to use quadratic equations on how to solve word problems.

Related Posts Plugin for WordPress, Blogger...
1 2 3