Page 1 www.appolotraining.com PH: 044-24339436, 42867555 TNPSC DEO MAIN PREMODEL EXAM MENTAL ABILITY & APTITUDE SOLUTION SECTION A: 3 MARK 1. Find the rate percent at which a sum of money becomes 7 6 times in 3 years. xU mryhdJ 3 tUlj;jpy; 7 6 klq; fhf MFnkdpy; mjd; tl;b tpfpjk; vt; tsT? Solution N= 3year P = x A = 7 6 x SI = 1 6 x 1 3 6 100 50 5 5 % 9 9 x R x R 2. In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11? ,U gfilfs; xNu rkaj;jpy; tP rg;gLk; NghJ> $Ljy; 10 my;yJ 11 fpilf;f epfo;jfT ahJ? Solution: Total No.of events = 6 6 36 ns Sum of 10 = (4, 6) (6, 4) (5, 5) Sum of 11 = (5, 6) (6, 5) n(E)=5 Probability = 5 36 3. What is relative-cumulative frequency distribution? njhlh;G FtpT epfo;ntz; guty; vd;why; vd;d? The relative cumulative frequency is defined as the ratio of the cumulative frequency to the total frequency. The relative cumulative frequency is usually expressed in terms of a percentage. The arrangement of relative cumulative frequencies against the respective class boundaries is termed as relative
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Sum of 10 = (4, 6) (6, 4) (5, 5) Sum of 11 = (5, 6) (6, 5) n(E)=5
Probability = 5
36
3. What is relative-cumulative frequency distribution?
njhlh;G FtpT epfo;ntz; guty; vd;why; vd;d? The relative cumulative frequency is defined as the ratio of the cumulative frequency to the total frequency. The relative cumulative frequency is usually expressed in terms of a percentage. The arrangement of relative cumulative frequencies against the respective class boundaries is termed as relative
cumulative frequency distribution or percentage cumulative frequency distribution.
4. Find the range of the following distribution. nfhLf;fg;gl;l gutypd; tPr;R fhz;f
Age (in years) taJ (tUlq;fspy;)
16 – 18 18-20 20-22 22-24 24-26 26-28
Number of students khzth;fspd; vz;zpf;if
0 4 6 8 2 2
5. A garden is in the form of a trapezium. The parallel sides are 40 m and 30 m. The perpendicular distance between the parallel side is 25 m. Find the area of the garden. xU Njhl;lkhdJ rhptfk; tbtpy; cs;sJ. mjd; ,izg;gf;fq;fs; 40kP> 30kP. ,izg;gf;fq;fSf;F ,ilNa cs;s njhiyT 25 kP. Njhl;lj;jpd; gug;gsT fhz;f.
6. Raju bought a motorcycle for ` 36,000 and then bought some extra fittings to make it perfect and good looking. He sold the bike at a profit of 10% and he got `
44,000. How much did he spend to buy the extra fittings made for the motorcycle?
Directions (7): Study the following graph carefully and answer the questions given below: mwpTiufs; (tpdh 7): gpd;tUk; tiuglj;ijf; ftdkhf Ma;T nra;Jtpl;L> mjw;Ff; fPNo nfhLf;fg;gl;Ls;s tpdhf;fSf;F tpilaspf;fTk;: DISTRIBUTION OF CANDIDATES WHO WERE ENROLLED FOR MBA ENTRANCE EXAM AND THE CANDIDATES (OUT OF THOSE ENROLLED) WHO PASSED THE EXAM IN DIFFERENT INSTITUTES
7. The number of candidates passed from institutes S and P together exceeds the
number of candidates enrolled from institutes T and R together by: S kw;Wk; P epWtdq;fspy; ,Ue;J Njh;r;rp ngw;w nkhj;j tpz;zg;gjhuh;fspd; vz;zpf;if> T kw;Wk; R epWtdq;fspy; gjpT nra;j nkhj;j tpz;zg;gjhuh;fspd; vz;zpf;ifiatpl vj;jid mjpfk;?
Explanation: Required difference = [(16% + 18%) of 5700] - [(8% + 10%) of 8550] = [(34% of 5700) - (18% of 8550)] = (1938 - 1539) = 399.
11. Divide Rs. 1586 into 3 parts so that the respective amounts at 5 per cent in 2, 3, 4 years respectively, same interest in all three cases. &.1>586 %d;W ghfq;fshf gphpf;f> mit KiwNa 2> 3> 4 Mz;Lfspy; 5 rjtPjk; tl;b tpfpjj;jpy; rkkhd jdptl;b njhifia ju Ntz;Lk;.
Solution: Let Sum of money Rs. x, y and z.
x + y + z = 1568 SI = PNR
100
S.I1 = S.I2 = S.I3
x×2×5 y×3×5 z×4×5= =
100 100 100
10x = 15y = 20z LCM of 10,15,20=60
10x=60 15y=60 20z=60
x= 6 y=4 z=3
12. Answer the following questions gpd;tUk; tpdhf;fSf;F tpilasp
a) Mention the different kinds of Flip –flop circuits. What is the use of flip-flop
There are several kinds of flip-flop circuits, with designators such as D, T, J-K, and R-S. Flip- flop circuits are interconnected to form the logic gates that comprise digital integrated circuits (ICs) such as memory chips and microprocessors.
Solution: Denomination of coins 100p 50p 10p Ratio of coins 3 4 10 Value of coins 300 200 100 Total value = 300+200+100=600paise =Rs.6
Number of 50 paise coins 114
4 766
15. A right circular cylindrical container of base radius 6 cm and height 15 cm is full
of ice cream. The ice cream is to be filled in cones of height 9 cm and base radius 3 cm, having a hemispherical cap. Find the number of cones needed to empty the container. 6 nr.kP Muk; kw;Wk; 15 nr.kP cauk; nfhz;l Xu; cUis tbtg; ghj;jpuj;jpy; KOtJkhf gdpf;$o; (Ice cream) cs;sJ. me;jg; gdpf;$ohdJ> $k;G kw;Wk; miuf;Nfhsk; ,ize;j tbtj;jpy; epug;gg;gLfpwJ. $k;gpd; cauk; 9 nr.kP kw;Wk; Muk; 3 nr.kP vdpy;> ghj;jpuj;jpy; cs;s gdpf;$io epug;g vj;jidf; $k;Gfs; Njit?
16. Answer the following questions gpd;tUk; tpdhf;fSf;F tpilasp
a. In the Annual sports meet, among the 260 students in XI standard in the
school, 90 participated in Kabadi, 120 participated in Hockey, and 50 participated in Kabadi and Hockey. A Student is selected at random. Find the probability that the student participated in
i. Either Kabadi or Hockey ii. Neither of the two tournaments
iii. Hockey only iv. Kabadi only v. Exactly one of the tournaments.
17. Answer the following questions gpd;tUk; tpdhf;fSf;F tpilasp
32. Answer the following questions
gpd;tUk; tpdhf;fSf;F tpilasp
a. If 5 men with 7 boys can earn Rs. 3825 in 6 days and 2 men with 3 boys can earn Rs. 1050 in 4 days, 7 men with 6 boys will earn Rs. 22,500 in time of: xU Ntiyia Ie;J Mz;fs;> 7 rpWth;fs; Nrh;e;J 6 ehl;fspy; &. 3825-I Cjpakhf ngWfpd;wdh; kw;Wk; 2 Mz;fs;> 3 rpWth;fs; Nrh;e;J 4 ehl;fspy; &.1050–I Cjpakhf ngWfpd;wdh; vdpy; 7 Mz;fs;> 6 rpWth;fs; Nru;e;J vj;jid ehl;fspy; &.22>500-I Cjpakhf ngw KbAk;.