06 J ul, 2011Page 1 of 7 APROTRAIN - APTECH COMPUTER EDUCATION ************* GMAT TEST SECTION 2 - DATA SUFFICIENCY Time - 35 minutes 25 Questions Phng hng: Bi thi s c 25 cu hi v 5 phng n tr li cho trc (A,B,C,D,E). Mi cu hi s c 2 d kin (1) v (2) i km.Bn hy tm ra phng n ng (trong 5 phng n tr li cho trc) cho mi cu hi. A.Dng mt mnh d kin (1) l c th tr li cu hi,nhng dng mt mnh d kin (2) th khng . B.Dng mt mnh d kin (2) l c th tr li cu hi,nhng dng mt mnh d kin (1) th khng . C.Phi dng c 2 d kin (1) v (2) mi tr li c cu hi, tch ring tng d kin th khng tr li c. D.Ch cn dng mt d kin bt k no trong 2 d kin cho cng tr li cu hi, E.Dng c 2 d kin cho cng khng th tr li cu hi. S hc: Tt c nhng s c dng l s thc. Hnh hc: - Mt hnh trong d liu s ph hp vi thng tin cho trong cu hi,nhng khng nht thit phi ph hp vi d kin (1) v (2). -Bn c th gi thit rng nhng dng xut hin l nhng ng thng v nhng gc hp thnh l ln hn 0. -Bn c th gi thit v tr nhng im ,nhng gc,nhng vngtn ti trong s sp xp u c hin th. Ch : Trong nhng cu hi cho gi tr ca s lng ,d liu cho trong d kin ch khi n c th xc nh chnh xc nhng tnh ton gi tr cho s lng. V dTrong : PQR,gi tr cax? (1)PQ = PR (2)y = 40 Gii thch: Theo d kin (1), PQ = PR => PQR l tam gic cn v y =z. =>x +y +z =180 x +2y =180. T d kin (1) khng th cho gi tr ca y,bn khng th ch s dng d kin (1) tr li cu hi. T d kin (2) y = 40 =>x +z =140. T d kin (2) khng th cho gi tr ca z,bn khng th ch s dng d kin (2) tr li cu hi. S dng c 2 d kin,t x + 2y = 180 v gi tr ca y cho, bn c th tnh c gi tr ca x.V vy cu tr li l C. R P z0 y0 x0 Q A. Dng mt mnh d kin (1) l c th tr li cu hi,nhng dng mt mnh d kin (2) th khng . B. Dng mt mnh d kin (2) l c th tr li cu hi,nhng dng mt mnh d kin (1) th khng . C. Phi dng c 2 d kin (1) v (2) mi tr li c cu hi,tch ring tng d kin th khng tr li c. D. Ch cn dng mt d kin bt k no trong 2 d kin cho cng tr li cu hi; E. Dng c 2 d kin cho cng khng th tr li cu hi. Page 2 of 7 Question1 K t biu din 1 trong cc ton t: cng, tr, nhn hoc chia. Gi tr ca 3 2 l bao nhiu? 1.0 1 =1 2.1 0 =1 Question2 Nu x v y l cc s nguyn dng v x l bi ca y, y=2? 1)y #1 2)x +2 l bi ca y Question3 Trong tam gic PQR, nu PQ =x, QR =x +2, v PR =y,gc no trong 3 gc ca PQR l ln nht? 1.y =x +3 2.x =2 Question4 Nu x l y l cc s nguyn, gi tr ca y s l bao nhiu? (1) xy =27 (2) x =y2 Question5 Nu 1 nhm gm c 5 th th cng mt 3h hon thnh 1 cng vic, mt bao lu 1 nhm 4 ngi hc vic lm 1 cng vic nh th? 1)Mt ngi hc vic lm vic bng 2/3 mt ngi th th cng. 2)Nm ngi th th cng v 4 ngi hc vic lm vic cng nhau s mt122/33h hon thnh cng vic. A. Dng mt mnh d kin (1) l c th tr li cu hi,nhng dng mt mnh d kin (2) th khng . B. Dng mt mnh d kin (2) l c th tr li cu hi,nhng dng mt mnh d kin (1) th khng . C. Phi dng c 2 d kin (1) v (2) mi tr li c cu hi,tch ring tng d kin th khng tr li c. D. Ch cn dng mt d kin bt k no trong 2 d kin cho cng tr li cu hi; E. Dng c 2 d kin cho cng khng th tr li cu hi. Page 3 of 7 Question6 Nu n l 1 s nguyn dng, gi tr ca b a t hn 2 ln gi tr ca 3n 2n? 1)a = 2n +1 v b = 3n 1 2)n =3 Question7 ABCD l hnh vung? (1) AD =AB (2) x =90 Question8 Nu yxR38=v y #0, gi tr ca R l bao nhiu? 1)x =2/3 2)x =2y Question9 Nu a, b, v c l cc ch s, a + b + c l bi s ca 8 khi no? Mt ch s l mt trong cc s 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. (1) Ba ch s abc l bi ca 8. (2) a b c l bi s ca 8. Question10 Khi no th chu vi ca hnh vung S ln hn chu vi ca hnh c cc cnh bng nhau T? 1)T l ca di ca 1 cnh ca S trn di 1 cnh ca T l 4:5 2)Tng chiu di 1 cnh ca S v 1 cnh ca T l 18 A. Dng mt mnh d kin (1) l c th tr li cu hi,nhng dng mt mnh d kin (2) th khng . B. Dng mt mnh d kin (2) l c th tr li cu hi,nhng dng mt mnh d kin (1) th khng . C. Phi dng c 2 d kin (1) v (2) mi tr li c cu hi,tch ring tng d kin th khng tr li c. D. Ch cn dng mt d kin bt k no trong 2 d kin cho cng tr li cu hi; E. Dng c 2 d kin cho cng khng th tr li cu hi. Page 4 of 7 Question11 Khi no th AB ln hn AC? (1) z > x (2) AC > AD Question12 Nu k v n l cc s nguyn, Khi no th n chia ht cho 7? (1) n 3 =2k (2) 2k 4 chia ht cho 7 Question13 Trong tam gic ABC, tm z nu AB =5 v y =40. 1)BC =5 2)ng phn gic ca gc B vung gc vi cnh AC. B x CA y z A. Dng mt mnh d kin (1) l c th tr li cu hi,nhng dng mt mnh d kin (2) th khng . B. Dng mt mnh d kin (2) l c th tr li cu hi,nhng dng mt mnh d kin (1) th khng . C. Phi dng c 2 d kin (1) v (2) mi tr li c cu hi,tch ring tng d kin th khng tr li c. D. Ch cn dng mt d kin bt k no trong 2 d kin cho cng tr li cu hi; E. Dng c 2 d kin cho cng khng th tr li cu hi. Page 5 of 7 Question14 Nu tng s tin ca th vin Lincoln dng mua sch, tp ch, v bo ch nm ngoi l $35,000, s tin dng mua sch l bao nhiu? 1.S tin dng mua bo l 40% ln hn s tin mua tp ch. 2.Tng s tin mua tp ch v bo l 25% nh hn s tin mua sch . Question15 Nu x + 2y + 1 = y x, gi tr ca x l bao nhiu? 1.y2 =9 2.y =3 Question16 T gic ABCD l hnh bnh hnh khi no? (1) AB = CD (2) AB song song vi CD. Question17 x/12 > y/40 khi no? (1) 10x >3y (2) 12x