Statements : some sticks are bolts. Kite is a stick Conclusions: I some bolts are sticks. II some kites are bolts. Sol. (d) the middle term 'sticks' forming the subject is not distributed in the first premise which is an I type proposition. The middle term forming the predicate is not distributed in second premise as it is an A type proposition and distributes subject only. 12. Statements : some ministers are clerks. All clerks are businessmen. Conclusions: I some ministers are businessmen. II all businessman are clerks. Sol. (a) Since one premise is particular, the conclusion must be particular. So only conclusion I follows. ====================================================================== 13. Which is the number that comes next in the following sequence? 4, 6, 12, 14, 28, 30, (…) Sol: The sequence is a combination of two series: i. 4, 12, 28, (…) and ii. 6, 14, 30 Now, the pattern followed in each of the above two series is: +8, +16, +32 So, missing number = 28 + 32 = 60 14. Find the wrong number in the given series? 7, 28, 63, 124, 215, 342, 511 Sol: Clearly, the correct sequence is 2^3 – 1, 3^3 – 1, 4^3 – 1, 5^3 – 1, ………. Therefore, 28 is wrong and should be replaced by (3^3 – 1) i.e, 26. 15.Which term comes next in the series : YEV, WFD, UHG, SKI ? Sol: Clearly, the first letter of each term is moved two steps backward to obtain the first letter of the next term. So, the first letter of the missing term will be Q. The second letter of the first , second, third and fourth terms are respectively moved one, two, three and four steps forward to obtain the corresponding letter of the subsequent term. So, second letter in the missing term will be O. The third letter is alternatively moved two and three steps forward to obtain the corresponding letter of the subsequent term. So the third letter in the missing term will be L. Thus the missing term is QOL. 16. aab_ aaa_ bba_ Sol: 1. The first blank space should be filled in either by 'b' so that we have two a' s followed by two b' s. 2. The second blank space should be filled in either by 'a' so that we have four a' s followed by two b' s, or by 'b' so that we have three a' s followed by three b' s. 3. The last space must be filled in by 'a'. 4. Thus, we have two possible answers : 'baa' and 'bba' . ================================================================== Sol: Clearly, Ravi starts from home at A, moves 10 km southwards upto B, turns right and moves 5 km upto C, turns right again and moves 10 km upto D and finally turns left and moves 10 km upto E. Thus,his distance from initial position A = AE = AD + DE = BC + DE = (5 + 10) km = 15 km 18. Kailash faces towards north. Turning to his right, he walks 25 meters. He then turns to his left and walks 30 meters. Next, he moves 25 meters to his right. He then turns to his right again and walks 55 meters. Finally, he turns to the right and moves 40 meters. In direction is he now from his starting point? Sol: Kailash turns towards right from north direction. So, he wails 25 m towards east upto B, turns left and moves 30 m upto C, turns right and goes 25 m upto D. At D, he turns to right towards the south and walks 55m upto E. Next, he again turns to right and walks 40 m upto F, which is his final position. F is to south-east of A. So, he is to the south-east from his starting point. 19. Deepa moved a distance of 75 meters towards the north. She then turned to the left and walking for about 25meters, turned left again and walked 80 meters. Finally, she turned to the right at an angle of 45o. In which direction was she moving finally Sol: Deepa started from A, moved 75 m upto B, turned left and walked 25 m upto C. She then turned left again and moved 80 m upto D. Turning to the right at an angle of 45o, she was finally moving in the direction DE i.e., South-west. 20. Kunal walks 10 kms towards North. From there he walks 6 kms towards south. Then, he walks 3 km towards East. How far and in which direction is he with reference to his starting point? Sol: Clearly, Kunal moves from A 10 km northwards upto B, then moves 6 km southwards upto C, turns towards east and walks 3km upto D. Then, AC = ( AB – BC ) = ( 10 – 6 ) = 4 km CD = 3 km So, Kunal's distance from starting point A = AD = Ö( AC^2 + CD^2) = Ö(4^2 + 3^2) = 5 km Also, D is to the North-East of A.
IBM REASONING Papers
