TCS Pool Campus Drive: Aptitude Test-7 1. Find the missing missing number number in the the series to fill fill the blank. blank. 2, 2, 5, 19, 37, 37, 75. (a) 7 (b) 8 (c) 9 (d) 11 2. n!u started to mo"e in the direction of east and turn to his left after mo"ing 25 m. #hen he turned to his left after mo"ing 1$ m and after this he mo"ed 35 m. #hen he turned to his left and mo"ed 2$ m. %o& ho& far is he from his starting 'oint (a) 1.1m (b) 1 m (c) 1.8 m (d) 1 1.5$ m 3 .*f a, b are t&o 'erfect s+uare digits and ab is a t&o digit 'erfect s+uare number, such that (ab) (a-b) ab then the "alue of /ba(b-a)0 is. (a) 8$ (b) 81 (c) 82 (d) 83 15 . hat hat shoul should d be subtra subtracte cted d from from so that the remaining "alue is di"isible b 31 (a) 1 (b) 2 (c) 3 (d) 1.5 5. 5 coffee and tea costs s.94.5 badam milk and 4 coffee costs s.32 and 7 tea and 4 badam milk costs s.37. hat is the combined 'rice of 1 tea, 1 coffee and 1 badam milk (a) 12 (b) 13 (c) 1 (d) 15 4. amsung 6uo and a ala are bought for s.$$$$. #he 6uo is sold at a 'rofit of 33.33 and t he ala is sold at a loss of 2$. #here &as no loss or gain. Find the cost 'rice of the a msung 6uo (a) s.15,5$$:; (b) s. 15,$$$:; (c) s. 14,$$$:; (d) s. 14,5$$: 7. #&o #&o college college alumni alumni decide decide to meet meet at a cafe cafe on a gi"en gi"en da bet&een bet&een 9<3$ 9<3$ am and 1$<3$ 1$<3$ am. #he #he agree that the 'erson &ho arri"es arri"es first at the cafe &ould &ait for eactl 15 minutes for the other. other. *f each of them arri"es at a random time bet&een 9<3$ am and 1$<3$ am. hat is the 'robabilit that the meeting takes 'lace (a) $.33 (b) $.2$ (c) $.25 (d) $.75 8. triangle &as cut out of a s+uare, &hich originall &as cut out of a circle. *f the diameter of the circle &as cm, the area of triangle is at the most. (a) 4 s+.cm (b) s+.cm (c) 5 s+.cm (d) 7 s+.cm 9. 15 'eo'le sit round a circular table &hat are the the odds against t&o 'articular 'eo'le sitting together. together. (a) 5<1 (b) 4<1 (c) 4< 2 (d) 7<2 1$. 'olice 'olice man sa& a thief at a distance distance of 1$$ m. =e starts chasing the thief &ith a s'eed of m:s and the thief is running &ith 2 m:s, then find the distance co"ered b the thief before he caught b the 'olice man (a) 75 (b) 9$ (c) 1$$ (d) 115 1 1 . *n a 5$$ m race > starts 15 m ahead of ?. @ut ? &ins the race &hile > is still 1$ m behind. #he ratio of their s'eeds ?<> assuming that both start at the same time is. (a) 18<19 (b) 19<2$ (c) 2$<21 (d) 2$<19 12. grou' grou' of t&el"e 'ersons is to be seated around around a circular table. table. #here are onl t&o &omen in the grou'. Find the 'robabilit that there are atleast three men bet&een the t&o &omen.
(a)
6 12
(b)
7 11
(c)
6 11
(d)
5 11
13. *n a miture of a, b and c, if a and b are mied in 3<5 ratio ratio and b and c are mied in 8<5 ratio and and if the final miture is 35 liters, find the amount of b. (a) 15.73 (b) 14.73 (c) 14.83 (d) 14.93 1. #he s'eeds of three three cars are in the ratio 3<<5, 3<<5, the ratio of time taken b them to tra"el tra"el the same distance is (a) 3<<5 (b) <3<5 (c) 2$<15<12 (d) 12<15<2$ 15. =anuman =anuman can com'lete a bridge bridge in 1$ das and a"an a"an can com'lete the same bridge bridge in 2$ das. %o& the are &orking together and the are com'leting the bridge in 2$ das. hat is the contribution of a"an (a) 6ata inade+uate (b) a"an onl com'leted construction (c) 6estructi"e the bridge (d) %one of these 14. train train running at 5 km'h takes takes 2$ seconds to 'ass a 'latform. 'latform. %et it takes.12 seconds seconds to 'ass a man &alking at 4 km'h in the same direction in &hich the train is going. Find the length of the train and the length of the 'latform. (a) 1$m (b) 13$m (c) 135m (d) 15$m 17. is t&ice as good a &orkman &orkman as @ and together the finish finish a 'iece in 18 das. *n ho& man das das &ill alone finish the &ork (a) 9 das
(b) 9 das
(c) 1$ das
1
(d)27 das
18. #he difference of t&o numbers numbers is 11 and one;fifth one;fifth of their sum is 9. Find the numbers. (a) 27 A 14 (b) 28 A 15 (c) 27A 17 (d) 28 A 17 19. *f f() cos() cos() then 5$th deri"ati"e deri"ati"e of f() is. (a) ;cos() (b) co cos () (c) sec() (d) ;sec() 2$. man s'eaks s'eaks truth 3 out of times. times. =e thro&s a dice and re'orts re'orts it to be 4. hat is the 'robabilit 'robabilit of the dice sho&ing 4 (a) $.25 (b) $.5$ (c) $.75 (d) 1.25 21. solar 'o&ered 'o&ered car is being test dri"en. #he "ehicle "ehicle is dri"en at 3$ m'h under solar 'o&er and $ m'h under regular 'o&er. #he tri' to the nearest to&n takes 5 minutes using both solar and regular 'o&erB &hereas the return tri' takes 5$ minutes using onl solar 'o&er. 6uring this tri', find the distance dri"en using regular 'o&er (a) 2$ miles (b) 25 miles (c) 15 miles (d) 1$ miles 22. am &ants to "isit "isit 5 'laces 'laces like like c, b, m,d m,d andk. andk. =e &ill &ill "isitat "isitat least 3 'laces 'laces inone tri' and c &ill be "isited in each tri'. *f "isiting different 'laces is considered as a tri' then ho& man &as can he go for tri's (a) 11 (b) 15 (c) 14 (d) 1$ 23. circular circular s&imming s&imming 'ool is surrounded surrounded b a concrete &alk &hich &hich is feet &ide. *f the area of the &alk is 11:25th of the area of the 'ool, then the radius of the 'ool is. (a) 19 feet (b) 21 feet (c) 2$ feet (d) 23 23 feet 2. and @ tra"el from ? to >, &ith starting starting from ? and @ starting starting from >. 'eed of is $ km:hr and that of @ is 5$ km:hr. hen the meet at a certain distance, @ tra"elled 12$ km more than . Find the distance bet&een ? and >. (a) 1$8$ km (b) 1$ 1$$ km (c) 11$ km (d) 128$ km 25. #he sum of s+uares s+uares of three numbers numbers is 532. #he ratio ratio of first to second and second second to third is 3<2. hat is the second number (a) 12 (b) 13 (c) 1 (d) 15 24. #he &ages of 2 men and 14 &omen amounts amounts to s.114$$ s.114$$ 'er da. da. =alf the number of men and 37 &omen earns the same sa me amount 'er da. hat is the dail &age of a man (a)s. 3$ (b) s. 35$ (c) s. 34 34$ (d) s. 37$ 27. basket basket contains 3 blue, 2 green and 5 red balls. *f three balls are 'icked at random, random, &hat is the 'robabilit that atleast one is red (a) 1:2 (b) 7:12 (c) 11:12 (d) 1:5 28. Ceena &anted to bu 3 kg of a''les. #he #he "endor ke't the 3 kg &eight on the the rightside and &eighed 1$ a''les for that. he doubted on the correctness of the balance and 'laced 3 kg &eight on the left side and she could &eigh 15 a''les for 3 kg. *f the balance &as accurate ho& man a''les she &ould ha"e got for 4 kg (a) 25 (b) 24 (c) 2 (d) 23 29. contracto contractorr undert undertake akess to com'lete com'lete the constr construct uction ion of the tunnel tunnel 72$ m long long in 2$ da and em'los 4$ men for the 'ur'ose after 8$ das he found that onl 18$ m of the tunnel is com'leted. =o& man more men should he em'lo in order to com'lete the &ork in time (a) 4$ (b) 3$ (c) 15 (d) 9$ 3$. diamond diamond falls and breaks breaks into three 'ieces &hose &eights &eights are in the ratio 3<<5. 3<<5. #he "alue of the diamond is 'ro'ortionate to the s+uare of its &eight. *f the "alue of the original diamond is 72$$$, &hat is the loss in the "alue due to the breakage (a) 25$$$ (b) 35$$$ (c) 5$$$ (d) 7$$$
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