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MAT September 2015 Solved Question Paper: Quantitative Aptitude
1. A sum of 10000 amount of 12000 n 5 yr at a certa n rate per cent at compound nterest. F nd what w be theamount n 20 yr at the same rate of compound nterest?
(a) 18000
(b) 16000
(c) 20000
(d) None of these
3. There are some shepherds and the r sheep are n a grass ng f e d. The number of tota heads are 60 and tota egsare 168 nc ud ng both men and sheep. The number of sheep s
(a) 18
(b) 26
(c) 24
(d) 36
5. A m kman se s the m k at the cost pr ce, but he m xes the water n t and thus he ga ns 9.09%. The quant ty ofwater n the m xture of 1 L m k s
(a) 83.33 mL
(b) 90.90 mL
(c) 90.09 mL
(d) None of these
6. The average marks of the students n four sect ons A, B, C and D together are 60%. The average marks of thestudents of A, B, C and D nd v dua y are 45%, 50%, 72% and 80%, respect ve y. If the average marks of thestudents of sect ons A and B together are 48% and that of the students of 5 and C together are 60%. What s the rat oof number of students n sect ons A and D?
(a) 2:3
(b) 4:3
(c) 5:3
(d) 3:5
11. Ashok and Am t started a bus ness w th nvestment of 5 akh and 4 akh. Am t runs the bus ness and gets - ofprof t as sa ary on wh ch he pays 10% tax. If they are w th the same amount of prof t f na y, tota prof t earned s
(a) 30000
(b) 50000
(c) 80000
(d) Cannot be determ ned
12. A, B and C start a bus ness. Prof t earned by A s 10% more than B and prof t earned by B s 15% ess than C.The rat o of the r nvestment s
(a) 178:170:200
(b) 187:170:200
(c) 180:162:190
(d) 163:175:190
13. A and B can do a work n 10 days, B and C n 15 days and A and C n 12 days. In how many days the work wbe f n shed by A, B and C work ng together?
(a) 6
(b) 7
(c)8
(d)9
14. A man can do a work n 20 days and a woman can do t n 30 days. 5 men worked for 2 days and eft the work.How many women are needed to f n sh the work next day?
(a) 18
(b) 15
(c) 14
(d) 12
17. A tank s f ed by p pe A n 20 m n and p pe B n 30 m n. P pe C can empty t n 45 m n n fu tank C s opened for30 m n, then p pe A and B are a so opened. The tank w be fu n approx m n.
(a) 15
(b) 8
(c) 12
(d) 10
20. A certa n sum of money s d v ded among A, B and C, so that for each rupee A, B has 65 pa se and C has 35pa se. If B s share s 1300, then tota sum of money s
(a) 7000
(b) 6000
(c) 5000
(d) 4000
21. The ncomes of X, Y and Z are n the rat o 5:7:9 and the r expend tures are n the rat o 6:7:12. If X saves 30% of
h s ncome, then what s the rat o of the r sav ngs?
(a) 24:18:35
(b) 18:35:24
(c) 24:35:18
(d) 18:24:35
23. There are on y two cand dates contest ng the e ect on. A person who got 47% of votes ost by 540 votes.Assum ng that there were no nva d votes, the tota number of votes casted were
(a) 7000
(b) 8000
(c) 9000
(d) 10000
24. In a c ass, 55% of the students are g r s. On Monday, 80% of boy students are present. If a tota of 70% studentswere present that day, then the percentage of g r s present s
(a) 45%
(b) 44%
(c) 35%
(d) 34%
25. In an exam nat on, 40% of students fa ed n Maths, 30% fa ed n Eng sh and 10% fa ed n both. Then, thepercentage of students who passed n both s
(a)40%
(b)50%
(c) 60%
(d) 30%
26. If one s de of the rectang e s ncreased by 25% and the other s de s ncreased by 8%, then f nd by what per centarea of rectang e w change?
(a) 25%
(b) 30%
(c) 35%
(d) 40%
27. A can do a work n 20 days and B can do t n 10 days. A starts the work and works a one for 5 days. Then, Bjo ns A and they f n sh the work. In how many days, the work gets f n shed?
(a) 10
(b) 12
(c) 9
(d) 8
28. 10 men can do a work n 10 days work ng 10 h a day. In how many days, the work w be done by 20 menwork ng 5 h a day?
(a) 5
(b) 8
(c) 10
(d) 12
29. A car trave s ha f of the d stance w th speed 40 km/h and ha f w th speed 60 km/h n journey of 5 h. What s thed stance covered by the car?
(a) 240 km
(b) 150 km
(c) 100 km
(d) 180 km
30. A car starts w th a speed of 20 km/h and ncreases ts speed by 10 km/h after every hour. Another car has aconstant speed of 50 km/h. In how much t me, both the cars cover equa d stance?
(a) 4 h
(b) 5 h
(c) 6 h
(d) 7 h
32. P pe A can f a tank n 30 m n, B and C can f n 90 m n; A and B n 20 m n. P pe C can empty t n m n.
(a) 150
(b) 180
(c) 210
(d) 240
33. A, B and C rece ve 10000, 12000 and 16000 as prof t on tota nvestment of 200000. What s the d fference nnvestment by C, A and B together?
(a) 37951
(b) 35000
(c) 39751
(d) 31579
34. Rakesh g ves 140000 to Ramesh for a bus ness. Ramesh spends 1/8 of h s prof t on rent of shop. If they are eftw th equa amount, then what s the nvestment of Ramesh?
(a) 160000
(b) 150000
(c) 170000
(d) 180000
35. A r ght c rcu ar cone, a r ght c rcu ar cy nder and a hem sphere, a have the same rad us and the he ghts of coneand cy nder are equa to the r d ameters. Then, the r vo umes are proport ona , respect ve y to
(a) :3:
(b) 2: :3
(c) 3:2:
(d) :2:3
36. The s des of a tr ang e are 5, 12 and 13 cm, respect ve y. A rectang e s constructed wh ch s equa n area to thetr ang e and has a w dth of 10 cm. Then, the per meter of the rectang e s
(a) 30 cm
(b) 26 cm
(c) 13 cm
(d) None of these
39.A certa n sum of money amounts to 6600 n 4 yr at a certa n rate per cent s mp e nterest. If the rate of nterest bencreased by ts 25%, the same sum wou d amount to 7000 dur ng the same per od. F nd the sum.
(a) 6000
(b) 5500
(c) 5000
(d) 7000
40. What annua payment w d scharge a debt of 4130 due 7 yr hence, money be ng worth 6% per annum s mp enterest?
(a) 500
(b) 550
(c) 532
(d) 638
Answer Key
Q 1 D Q 11 D Q 21 B Q 31 DQ 2 C Q 12 B Q 22 C Q 32 BQ 3 C Q 13 C Q 23 C Q 33 DQ 4 D Q 14 B Q 24 D Q 34 AQ 5 A Q 15 C Q 25 A Q 35 AQ 6 B Q 16 A Q 26 C Q 36 BQ 7 C Q 17 D Q 27 A Q 37 DQ 8 C Q 18 D Q 28 C Q 38 DQ 9 B Q 19 D Q 29 A Q 39 CQ 10 C Q 20 D Q 30 D Q 40 A
Explanation
MAT Previous Year Question PaperWith Solution 2015
Publisher : Faculty Notes Author : Panel Of Experts
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