SOLUTIONS. (1) + and (2) and (3) and + (4) and + Ans. (4) Sol. 96a b 43 = 110

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1 Path to success KOT (RJSTHN) TM NTIONL TLENT SERH EXMINTION (NTSE-017) STGE -1 STTE : KRNTK PPER : MT ate: 05/11/017 Max. Marks: In the given equation which set of signs among the alternative replace the symbols a and b respectively to make it meaningful 93a63 1 3b43 = 110 (1) + and () and (3) and + (4) and + 96a63 1-3b 43 = = = = 110. Which one of the following equations is NOT meaningful by substituting the set of mathematical signs (+, x, =, ) sequentially in them (1) 10 * 14 * 5 * 160 * () 14*16*3* 180*3 (3) 1 * 15 * 4 * 144 * (4) 16 * 18 * * 156 * 3 ( = 180 3) 6 ¹ 60 irections (Q.3-4) : ompare column - I and column - II to answer the given questions. olumn-i olumn-ii (i) 10 (a) 10n + 10n (ii) 150 (b) 3n (iii) 180 (c) n + n (iv) 00 (d) n 3 + 3n (e) n + n / (f) 4n 3 + 4n 3. Which one of the given rules in column - II the number 00 follows (1) n + n () 3n (3) 10n + 10n (4) n 3 + 3n heck options option (3) 10n( n + 1) = 00 n + n = 0 n + n- 0= 0 n + 5n- 4n= 0 ( )( ) n+ 5 n- 4 = 0 n =-5,(4) SOLUTIONS Time allowed: 45 mins 1

2 4. Which number in column -I follows the rule (4n 3 + 4n) (1) 10 () 150 (3) 180 (4) x + 4x (x = n) ( ) ( ) 4n n + 1 = 10 n n + 1 = 30 ( n= 3) irection (Q.5-6) : ind the correct water images for the following problem figures from the given alternatives. 5. Option () by Observation 6. Option (3) by Observation 7. cube of side 4 cm is painted with blue colour. It is cut into smaller cubes of 1 cm. Then, how many smaller cubes have paint on atleast one face (1) 56 () 48 (3) 36 (4) 4 ( ) ( ) 1 side painted = = 4 side painted =1 4 - = 4 3 side painted = 8 option (1) Total = = 56

3 irections (Q.8-10) : Identify the number of specified geometric shapes in the given diagrams and mark the correct answers. 8. figure of an object is given. Identify the number of surfaces of the object. (1) 10 () 1 (3) 13 (4) 14 Option (3) by Observation, 14 surfaces 9. How many hexagons are in the given figure (1) 11 () 13 (3) 15 (4) 17 Option () by Observation - 1 Hexagon 10. How many parallelogram are there in the given figure (1) 17 () 19 (3) 0 (4) 1 Option () by Observation, 19 parallelogram irections (Q.11-13) : In the given questions there are four groups of numbers / pairs of numbers / group of letters of which three are alike and one is different. ind the one which is different 11. (1) () (3) (4) 8 9 Every option divisible by 7 except option (1) 96, 56, 1 () 154, 63, 14 (3) 08, 91, 16 (4) 5, 98, 18 (a) (b) (c) (d) option () 3

4 13. (1) S W Z () E O I R L V (3) M Y J Q N (4) K T X G P irst and sixth term sum is 7. Second and fifth term sum is 7. Third and fourth term sum is 7. option (1). irections (Q.14-17) : omplete the following number/ figural series by choosing the correct answer from the given alternatives , 75, 54,, 18, 3 (1) 45 () 38 (3) 35 (4) 3 98,75,54,35,18,3 difference = = = = = = 15 option (3) 15. 0, 1, 4, 15, 64, (1) 75 () 35 (3) 365 (4) 435 0,1, 4,15,65, = 1 + = = = = y observation. 17. y observation. 4

5 18. Pramod and Praveen are the sons of Prakash. The present age of Prakash is 4 times the age of Pramod and 6 times the age of Praveen. If the sum of their ages is equal to 51 years, the present ages of Pramod and Praveen respectively are : (1) 9 years, 6 years () 6 years, 9 years (3) 9 years, 4 years (4) 1 years, 6 years Pramod = P P = 4P Praveen = P P = 6P 3 Prakash = P P + P + P = option (1) P = 36 yrs 3 P = 9 yrs 1 P = 6 yrs irections (Q.19-3) : omplete the given number/ letter/figure analogy by choosing the correct answer from the given alternatives : 89 : 7 :: : 169 : (1) 19,34 () 17,306 (3) 14,10 (4) 14,156 18:17 : ( ) ::14 :13 : ( ) option (4) (14) (156) : 400 : : 166 : (1) 800 () 1000 (3) 100 (4) : 400 ::166 : = = 1000 option () 1. SMOHT : SINNZT :: RELHEM : (1) L G M S () L I M S (3) S M I N (4) R K G L S M O H T option (1) S I N N Z T 5

6 . (4) y observation. 3. (3) y observation. 4. irection : ind the wrong number in the given series , 300, 500, 900, 1800, 3300 (1) 3300 () 1800 (3) 900 (4) = = = = = 3300 option () 5. Take the given statements as true and decide which of the conclusions logically follow from the statements. Statements : a. Some cows are horses. b. Some camels are goats. c. ll goats are horses. onclusions : I. Some cows are not horses. II. Some horses are not goats. III. Some camels are horses. IV. ll horses are camels. (1) onclusions I, II and III only follow () onclusions II, III and IV only follow (3) onclusions I and II only follow (4) onclusions III and IV only follow ns. (onus) onclusion 3 is correct only. camels horses goats cows cows cows 6

7 irection (Q.6-7) : high school in elagavi has 800 students. The numbers of students who are studying different languages in the school are represented by intersecting circles. ind the answers to the given questions by studying the figure. Marathi Hindi English Sanskrit - 90 Kannada How many students are studying only two languages Kannada and Sanskrit (1) 10 () 0 (3) 30 (4) hindi a b 60 c d marathi 90 sanskrit 180 english 130 = 50 + a + b 50 kanada 150 = d Þ d = c = 90 Þ c = b = 50 Þ b = 50 option () 7. How many students are studying only three languages Kannada, English and Hindi (1) 30 () 40 (3) 50 (4) hindi a b c 10 d marathi 90 sanskrit 180 english 50 kanada 130 = 50 + a + b 150 = d Þ d = c = 90 Þ c = b = 50 Þ b = 50 option (3) 7

8 8. When (PQRS) is multiplied by S, the product is (3 S Q 9 Q). If the value of Q is 6, the values of P and R respectively are : (1) 7 and 3 () and 5 (3) 9 and 8 (4) 8 and 7 option (4) PQRS Q = 6 (given) S 3SQ9Q P6RS S possible values 4, 6. 1)S= 4 P6R On solving we get P= 8 9. If P P L E + L L + P E R = 7 The code for PELE is (1) () (3) (4) E+ L= 8 take E= 3,L= L+ P= 5,P= 1 + P= 9,= 4 P+ = 7,= 6 PELE = option () irections (Q.30-31) : ind the missing part of the given figure from the alternatives. 30. option (1). y observation. 8

9 31. option (4). y observation. 3. What are the least number of ducks that could swim in the following formation a. Two ducks infront of a duck b. Two ducks behind a duck c. duck between two ducks. (1) 11 () 7 (3) 5 (4) 3 option (1). [ uck 1 uck uck 3] 33. Using the given Matrix find the vlaue of ( + + ) (1) 18 () 19 (3) 0 (4) 1 x y So, z x y y x z z y z x x+ y= 1 x+ y= 9 x + z = 0 y + z = 3 x + y + z = 16 x + y + z = 16 with help of these equation we get x = y= 5 z= 9 we want y + z = 19. option () sum 9 16

10 34. In the given Matrix find the missing section (1) () 19 4 (3) 0 19 (4) a b 4 19 c a = 1 + 4, a = 3 a + b = b = 44 3 = 1 + c = , c = The three pairs of opposite faces of a cube are given as follows:,, E, Identify the correct figure from the given alternatives, when the cube is unfolded. (1) E () E (3) E (4) E y observation, option (3) 36. When the problem figure is folded into a cube, which ot the following cubes will be formed () () () () (1) and only () and only (3) only (4) only 1«3, «4, 5«6 ( «mean opposite faces) (option 1) 10

11 37. Which one of the following relations are represented by the above Venn iagram (1) octors, Engineers, Professors, usinessman () Professors, Engineers, octors, Industrialists (3) Lawyers, octors, Engineers, Professors (4) octors, Surgeons, Professors, Engineers y observation, option (4) irection (Q.38-39) : In a school 90 students play different kinds of games. mong them, a. 15 play ricket, Hockey and ootball b. 15 play ricket and ootball only c. 10 play Hockey and ootball only d. Totally 30 play only two kinds of games e. Equal number of students play only one of the games. 38. ind the number of students who play Hockey and ricket only. (1) 5 () 10 (3) 15 (4) 0 x x H x 3x = 90 Þ x = (15 10) = 15 (option 1) 39. ind the number of students who play ricket. (1) 40 () 45 (3) 50 (4) 55 x x H x 3x = 90 Þ x = = 50 (option 3) 11

12 40. square shaped paper is folded as shown and punched. The problem figure shows the paper when unfolded. Which among the alternatives indicates the position of the punch made when it was folded y observation, option (3) 41. ind the missing letters in the given matrix. G X Y T N X T I R I (1) S, G, N () R, Q, X (3) R, O, N (4) Y, P, G Sum of horizontal & vertical alphabet is same. (Option 3) 4. ind the missing letters in the given Pattern. G O E Y S L Z O K S (1), M () V, E (3), Q (4) T, P = 1, = _ z = Outerring difference increasing by from 4 in clockwise direction Innerring difference increasing by from 3 in clockwise direction 1

13 43. person starts from a place and moves towards North. He then turns to South - east direction and moves. gain he turns towards North and moves for sometime. He then turns to his left and moves. fter sometime he turns to South-east and moves. inally he moves in the west direction and rests at G. Which of the option figures Indicates his complete movement (1) E () E (3) G (4) E G G E G (Option 4) 44. motor cyclist moves from a place to in East direction. rom he turns to left and moves for km. He then takes a right down and rides for 1.5 km. gain he turns right and moves for km. He then takes a left turn and rides for.5 km. and stops. If he is distance of 7 km. from starting place, find the distance between and. (1).5 km () 3 km (3) 4 km (4) 1 km km (Option ) irection (Q.45-46) : In the questions below the numbers in the figures are related. Identify their relationship and find the missing numbers in the given figures (1) 0 () 18 (3) 16 (4) 14 (Sum of even number) (Sum of odd number) = middle number (0 + 4) ( ) = (8 + 18) (19 + 1) = 6 (8 + 30) (15 + 3) = 0 (Option 1) 13

14 (1) 18, 151 () 18, 169 (3) 1, 171 (4) 1, = 5, 5 + 1= 11,11-1= 1, = 43, 43-1 = 85, = 171 irections (Q.47 & Q.48) : The given problem figure has one or more dots. Observe the dot positions and identify the option figure which is exactly suitable to keep the dots with the same conditions. 47. y observation, option () 48. y observation, option (4) 14

15 49. The average body weights of 4 men,, and is 50 kg. ecide whether the data given in the statements I, II and III are sufficient to find the individual body weights of and I. The weight of is 65 kg and of is 45 kg II. The sum of the weights of and is 90 kg III. has the least weight compared to, and (1) ata in I and II are sufficient () ata in II and III are sufficient (3) ata in I, II and III are sufficient (4) ata in I, II and III are not sufficient y observation, option (4) 50. set of two figures is given as problem figure. ind which one of the option figures is formed, when the upper figure is superimposed on the lower one. y observation, option (1) 15