IBPS - RRBs RECRUITMENT PROBATIONARY OFFICERS PRELIMS MODEL PAPER No. of Questions: 80 Maximum Marks: 80 Time: 45 Mts.

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1 IBPS - RRBs RECRUITMENT PROBATIONARY OFFICERS PRELIMS MODEL PAPER No. of Questions: 80 Maximum Marks: 80 Time: 45 Mts. REASONING ABILITY Directions (Q. 1-5): Study the following information carefully to answer the given questions. A word arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and its rearrangement. Input: quarries wages family afloat programme lifeline medicine squeeze. Step-I: afloat quarries wages family programme lifeline medicine squeeze. Step-II: afloat quarries family programme lifeline medicine squeeze wages. Step-III: afloat family quarries programme lifeline medicine squeeze wages. Step-IV: afloat family quarries programme lifeline medicine wages squeeze. Step-V: afloat family lifeline quarries programme medicine wages squeeze. Step-VI: afloat family lifeline programme medicine wages squeeze quarries. Step-VII: afloat family lifeline medicine programme wages squeeze quarries. Step-VIII: afloat family lifeline medicine wages squeeze quarries programme. Step-VIII is the last step of the above input. As per rules followed in the above steps, find out in each of the following questions the appropriate steps for the given input. Input: years months really parents amazed written cope lines. 1. How many steps will be required to complete the arrangement of the above input? 1) Six 2) Seven 3) Eight 4) Five 2. Which of the following will be at 5 th position from left in step V? 1) months 2) really 3) parents 4) line 3. What will be the position of 'parents' in step III? 1) Sixth from left 2) Fourth from left 3) Fourth from right 4) Fifth from right 4. If 'amazed' is related to 'parents' and 'cope' is related to 'years' in the same way 'months' is related to which of the following in step VI? 1) really 2) written 3) line 4) cope 5. Which of the following steps would be the last step but one? 1) VI 2) VII 3) IV 4) V 5) None R-1,2,3,4-8-17

2 Directions (Q. 6-7): These questions are based on the following information. In a certain code, 'za ed mn' means 'sky is blue', 'mn god prv' means 'blue are very' and 'za to sun god' means 'light very sky beautiful'. 6. 'beautiful sky is blue' can be coded as which of the following? 1) mn za to sun 2) za mn sun ed 3) za mn sun prv 4) prv sun za ed 7. Which of the following is the code for 'very'? 1) za 2) sun 3) to 4) god 5) None Directions (Q. 8-10): Read the following information carefully and answer the questions which follow. If 'A B' means 'A is wife of B'. If 'A + B' means 'A is brother of B'. If 'A B' means 'A is daughter of B'. If 'A B' means 'A is son of B'. 8. How is Q related to P, if 'P R T Q'? 1) Granddaughter 2) Mother-in-law/ Father-in-law 3) Grandmother 4) Grandmother/ Grandfather 9. How is P related to R, if 'P Q + R T'? 1) Brother/ Sister 2) Niece 3) Sister 4) Nephew/ Niece 10. How is T related to P, if 'P Q T + R'? 1) Mother 2) Father-in-law 3) Mother-in-law 4) Mother-in-law/ Father-in-law 5) None Directions (Q ): In each of the questions below are given three statements followed by three Conclusions I, II and III. You have to take the given statements to be true even, if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. 11. Statements: All windows are doors. All buildings are doors. All doors are boats. Conclusions: I. All windows being boats is a possibility. II. All buildings are boats. III. Atleast some boats are doors. 1) I and II follow 2) I and III follow 3) II and III follow 4) All follow

3 12. Statements: Some desks are chairs. Some chairs are pens. Some pens are drawers. Conclusions: I. Some drawers are definitely desks. II. Atleast some drawers are chairs. III. No drawer is chair. 1) None follows 2) Only II follows 3) Only III follows 4) Either II or III follows 5) I and either II or III follow 13. Statements: All flowers are trees. Some trees are houses. Some houses are wheels. Conclusions: I. All wheels being trees is a possibility. II. Atleast some trees are flowers. III. Some wheels are not flowers. 1) I and II follow 2) I and III follow 3) II and III follow 4) All follow 14. Statements: Some radios are telephones. All telephones are mirrors. All mirrors are desks. Conclusions: I. All radios are desks. II. Some radios being mirrors is a possibility. III. Atleast some desks are telephones. 1) I and II follow 2) I and III follow 3) II and III follow 4) All follow 15. Statements: All furnitures are jungles. No jungle is road. Some roads are hills. Conclusions: I. Only road is furnitures. II. All jungles being furnitures is a possibility. III. Some hills are jungles. 1) Only I follows 2) Only II follows 3) Only III follows 4) I and II follow

4 Directions (Q ): Study the following information carefully and answer the questions given below. There are eight friends Sunil, Ramesh, Arvind, Abhishek, Nikhil, Pawan, Manoj and Rahul are sitting in a circle. Three of them facing the centre and rest of them facing outside the centre. Everyone has taken a different insurance policy from different Inidan companies namely General Insurance, LIC, PNB, SBI, HDFC, Aviva, Max life and Canara Bank. Sunil is facing the centre and sitting third to the right of Ramesh. Arvind facing the centre and sitting fourth to the left of Abhishek. Nikhil facing outside the centre and taken policy from General Insurance. Pawan and Manoj are neighbour of Arvind and taken policy from PNB and LIC respectively. Ramesh facing the centre and taken policy from SBI. Abhishek taken policy from HDFC and sitting left of Sunil. The neighbour of Ramesh has not taken policy from HDFC and PNB. The person who is sitting third right of Sunil has taken policy from Canara Bank. Nikhil has taken policy from General Insurance. Nikhil sits exactly between LIC and Aviva Life. 16. Rahul has taken the policy from which company? 1) SBI 2) PNB 3) LIC 4) HDFC 5) Max life 17. Who are the neighbour of Arvind? 1) Pawan and Ramesh 2) Manoj and Pawan 3) Manoj and Nikhil 4) Pawan and Rahul 18. Sunil has taken the policy from which company? 1) HDFC 2) General Insurance 3) Aviva 4) LIC 19. Who are the three person facing the centre? 1) Arvind - Ramesh - Abhishek 2) Pawan - Ramesh - Sunil 3) Manoj - Ramesh - Sunil 4) Arvind - Ramesh - Sunil 5) None 20. Which of the following combination is true? 1) Pawan - Canara Bank 2) Manoj - PNB 3) Ramesh - Max life 4) Nikhil - General Insurance 5) Abhishek - Aviva Life Insurance Directions (Q ): Study the following information and answer the questions given below. In a conference 8 people A, B, C, D, E, F, G and H from different cities Delhi, Pune, Kochi, Mumbai, Chennai, Lucknow, Bhatinda and Amritsar but not necessarily in same order are sitting around a rectangular table. 3 persons are sitting on the each longer sides and 2 on the smaller sides. D is sitting second to the right of the person who is from Amritsar. E is sitting third to the left of the person who is from Lucknow. F and G are sitting opposite each other. C is sitting diagonally opposite the person from Bhatinda. B is sitting opposite the person who is from Delhi. The person from Mumbai is sitting second the right of the person from Chennai and second to the left of A, who is not sitting near the person who is from Bhatinda. G is sitting on the smaller side and to the right of the person who is from Bhatinda. Persons from Chennai and Mumbai are not on the same side of the table. Person from Mumbai is sitting third to the right of the person from Amritsar, who is not sitting diagonally opposite the person from Pune. E is not the neighbour of Bhatinda.

5 21. Who is sitting third to the right of the person from Lucknow? 1) E 2) Person from Chennai 3) A 4) Person from Bhatinda 5) None 22. Who is definitely sitting diagonally opposite D? 1) A 2) C 3) Person from Delhi 4) Person from Kochi 5) Can't be determined 23. According to the sitting arrangement what will come in place of question mark? D : Mumbai :: C :? 1) Lucknow 2) Chennai 3) Kochi 4) Amritsar 24. To which city does A belong? 1) Pune 2) Delhi 3) Chennai 4) Amritsar 5) Can't be determined 25. Which of the following combinations is definitely correct? 1) H - Amritsar 2) D - Chennai 3) A- Pune 4) G - Mumbai 5) None Directions (Q ): Given below are a pair of events (A) and (B). You have to read both the events (A) and (B) and decide their nature of relationship. You have to assume that the information given in (A) and (B) is true and you will not assume anything beyond the given information in deciding the answer. Mark answer 1) if (A) is the effect and (B) is its immediate and principal cause. 2) if (A) is the immediate and principal cause and (B) is its effect. 3) if (A) is an effect but (B) is not its immediate and principal cause. 4) if (B) is an effect but (A) is not its immediate and principal cause. 26. Event (A): The Centre has rejected the greater autonomy resolution of State X. Event (B): State X has decided to bring Centre - State relations for discussion in the Parliament. 27. Event (A): In village 'X', farmers are struggling heavy drought. Event (B): In village 'X', government is implementing an agricultural development programme. 28. Event (A): People are avoiding post-paid mobile service connections. Event (B): Prepaid mobile service connections are easily available in the market. 29. Event (A): Oil price can reach a new high in Iran. Event (B): Demand of oil in global market is increasing. 30. Event (A): High inflation in India is not yet 'the new normal' and RBI cannot afford to drop its guard. Event (B): Despite significant actions on policy rates and liquidity by the Reserve Bank of India, inflation remains high.

6 31. How many such pairs of letters are there in the word 'INCONSISTENT' each of which has as many letters between them in the word as in English alphabetical series? 1) Six 2) Eight 3) Nine 4) Seven 5) Five 32. What should come in place of question mark (?) in the expression to make R > Z and P S definitely true? M > N < Z? R < O > S? P 1), < 2), 3) <, < 4) >, 33. Which of the following expression will be true if the expression A D = L > M < R T < P = O is definitely true? 1) L > R 2) M < T 3) T > O 4) A M 5) M P 34. Which of the following expression will be false, if the expression X = T > N O Z = C Y> P A is definitely true? 1) T > O 2) C > P 3) Y < A 4) Z Y 35. Which of the following symbol should be placed in blank spaces respectively to make the expression D G, P < L and M > A definitely true? N > A_M > O < R G _ D < S > L_P 1) <,, > 2), <, > 3) <,, 4),, > Directions (Q ): Study the following information carefully and answer the questions given below. (i) (ii) (iii) (iv) (v) (vi) Seven persons A, B, C, D, E, F and G are teaching seven subjects History, Geography, Physics, Chemistry, Maths, Biology and English from Monday to Friday. Each person teaches a different subject and not more than two subjects are taught on any one of the days. Chemistry is taught by B on Tuesday. D teaches on Friday but neither Geography nor Physics. F teaches History but neither on Thursday nor on Friday. A teaches English on the day on which History is taught. C teaches Maths on Monday. (vii) Geography and Chemistry are taught on the same day. (viii) G teaches on Thursday. 36. English is taught on which day? 1) Wednesday 2) Monday 3) Tuesday 4) Data inadequate 37. Which of the following subjects is taught by 'G'? 1) Biology 2) Geography 3) Physics 4) Chemistry 5) None

7 38. Geography is taught on which day? 1) Monday 2) Tuesday 3) Wednesday 4) Thursday 5) Friday 39. Which subjects is taught on Friday? 1) Physics 2) History 3) Geography 4) Biology 40. Which of the following pairs of persons teaches on Tuesday? 1) A and D 2) A and B 3) B and F 4) B and C QUANTITATIVE APTITUDE Directions (Q ): What should come in place of question mark (?) in the following questions (262144) 1/ =? 8 4 1) 181 2) 176 3) 207 4) % of 400 +? = 96% of 275 5% of 300 1) 189 2) 17 3) ) (69) 2 + (21) 2 = (?) ) 68 2) 62 3) 72 4) 76 5) None of = 2000? 7 1) 179 2) 191 3) 188 4) (91) 2 + (41) 2? = ) ) ) ) Directions (Q ): Study the following table and answer the questions given below. Export of Electronic Goods From India (in Rs. Crore) Year Total Exports Electronic Goods

8 46. Approximately, what percent of the total exports were electronic goods in 2003? 1) 13 2) 19 3) 21 4) 23 5) None 47. The fall in electronic goods exports in 2004 from 2003 was nearly 1) 20% 2) 15% 3) 9% 4) 12% 5) 16% 48. Percentage growth of electronic goods exports in the period of 2002 to 2003 exceeded the percentage growth of the total exports over the same period approximately by 1) ) ) ) ) Samir drove at the speed of 45 km/h from home to a resort. Returning over the same route, he got stuck in traffic and took an hour longer, also he could drive only at the speed of 40 km/h. How many kilometres did he drive each way? 1) 250 2) 300 3) 310 4) boys and 25 girls from a group of social workers. During their membership drive, the same number of boys and girls joined the group (e.g., if 7 boys joined, 7 girls joined). How many members does the group have now, if the ratio of boys to girls is 7 : 8? 1) 75 2) 65 3) 70 4) 60 Directions (Q ): The following table shows the total number of students and percentage of boys among them of different branches of five engineering colleges. Answer the following questions based on this table. Computer Science IT Electronics Telecom Civil Total% boys Total% boys Total% boys Total% boys Total% boys P % 70 60% % 40 55% % Q % 72 50% % 60 65% % R % 80 65% 96 50% 36 50% % S 90 60% 65 60% % 50 56% % T % 60 65% % 70 60% % 51. What is the difference between the number of boys in College P and the number of girls in College Q? 1) 175 2) 180 3) 185 4) 88 5) What is the average number of boys studying in Electronics stream in all five colleges? 1) 45 2) 48 3) 50 4) 52 5) The number of girls in Telecom stream of College 'S' is what percent of its total students? 1) 40% 2) 42% 3) 44% 4) 48% 5) 50%

9 54. What is the ratio of the number of boys of IT stream of College R to that of College S in IT stream? 1) 2 : 3 2) 3 : 5 3) 4 : 3 4) 4 : 5 5) 1 : The number of boys of Civil stream of College P is how much percentage more than that of the number of girls in Electronics stream of College R? 1) 60% 2) 75% 3) 80% 4) 90% 5) 100% Directions (Q ): Study the following graph carefully to answer the questions that follow. Speed (in km/hr.) of three Buses of different routes on different days of the week 56. If the distance travelled by bus C on Wednesday was 546 km, what was the time taken by it to travel that distance? 1) 18 hrs 20 min. 2) 18 hrs 12 min. 3) 18 hrs 20 min 14 sec 4) 18 hrs 12 min 6 sec. 57. If the distance travelled by bus B and bus C on Friday was the same, what was the respective ratio of the time taken by bus B to that taken by bus C to travel the distance? 1) 3 : 5 2) 5 : 3 3) 8 : 5 4) 8 : What is the percent increase in speed of bus B on Thursday from the previous day? 1) 140 2) ) 40 4) ) Average speed of bus A is what percent of average speed of bus C over the days? 1) ) ) ) What is the average speed of bus B in meter/second for all the days together? 7 1 1) 21 2) 13 3) 16 4)

10 61. An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60 kg of pure iron? 1) 275 kg 2) 225 kg 3) kg 4) kg 62. If the selling price of dozen apple is equal to cost price of 9 apples. Find gain or loss percent? 1) 20% loss 2) 75% gain 3) 20% gain 4) 25% gain Ram finds that an increase in the rate of interest from 4 % to 5 % per annum increase his 9 8 yearly income by Rs.25. His investment is... 1) Rs.5,000 2) Rs.10,000 3) Rs.20,000 4) Rs.12, A is twice efficient than B and 50% of C. If A takes 35 days to complete the work. If they are working together then find number of days to complete the work? 1) 12 days 2) 10 days 3) days 4) 13 days 65. A boat goes 15 km upstream in 80 minutes. The speed of the stream is 5 km/hr. The speed of the boat in still water is 1) 17.5 km/hr 2) 18 km/hr 3) km/hr 4) 8.5 km/hr Directions (Q ): Study the following information carefully and answer the given questions. Certain number of students passed from five colleges A, B, C, D and E. Total students passed in College A is 18% of the total passed students from all colleges. Ratio of the total passed students from College B to the passed students from College C is 11 : 10 and their average value is 420. From College D 300 students 5 passed which is 15% of the total passed students. Students passed in College E is of the number of 4 total passed students of College C. Ratio of boys to girls passed from College A is 13 : 5. The number of passed boys in College B is 240% of the number of girls passed in College A. Ratio of total passed students in College C to the number of girls passed in College C is 20 : 11. The number of girls passed in College D is 40% more than the number of passed boys in College D. The average of boys passed in all five colleges is What is the average of the total girls passed in all colleges? 1) 174 2) 172 3) 170 4) 169 5) What is the ratio of passed boys and girls of College E? 1) 5 : 3 2) 4 : 3 3) 7 : 3 4) 7 : 5 5) 4 : The number of boys passed in College B what percentage more than the number of passed girls? 1) 20% 2) 30% 3) 40% 4) 45% 5) 50%

11 69. The number of girls passed in College A is what percent of the number of passed boys in College D? 1) 60% 2) 70% 3) 80% 4) 40% 70. In which college the percentage of girls passed with respect to its total passed students is the maximum? 1) A 2) B 3) C 4) D 5) E Directions (Q ): What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value) % of ?% of = ) 36 2) 22 3) 17 4) 31 5) =? ) 21 2) 8 3) 25 4) 13 5) =? 1) ) ) ) ) 1805 Directions (Q ): Study the information carefully to answer the given questions that follow. A basket contains 3 blue, 2 green and 5 red balls. 74. If three balls are picked at random, what is the probability that atleast one is red? ) 2) 3) 4) If four balls are picked at random, what is the probability that two are green and two are blue? ) 2) 3) 4) Directions (Q ): Study the following information carefully to answer the given questions. In a school out of 680 children, boys and girls are in the ratio 8 : 9 respectively. Each child attends either singing class or martial arts class or both. 35% of the boys attend only singing class. Total 50% children attend both the classes, out of which 40% are boys. 25% of the girls attend only martial arts class. 76. What is the total number of girls attending martial arts classes? 1) 114 2) 214 3) 154 4) What is the number of children attending only martial arts classes? 1) 162 2) 274 3) 72 4) 248

12 78. How many girls attend only singing class? 1) 156 2) 270 3) 66 4) Total how many boys attend singing class? 1) 112 2) 24 3) 136 4) Total number of children attending only singing class is what percent of the total number of children in the school? 1) ) ) ) 23 KEY 1-2; 2-2; 3-3; 4-1; 5-1; 6-5; 7-4; 8-4; 9-5; 10-2; 11-3; 12-4; 13-1; 14-5; 15-2; 16-5; 17-2; 18-3; 19-4; 20-4; 21-4; 22-2; 23-1; 24-5; 25-4; 26-2; 27-4; 28-3; 29-1; 30-1; 31-4; 32-5; 33-2; 34-3; 35-5; 36-1; 37-3; 38-2; 39-4; 40-5; 41-4; 42-3; 43-1; 44-4; 45-2; 46-1; 47-3; 48-5; 49-5; 50-1; 51-4; 52-5; 53-3; 54-3; 55-5; 56-2; 57-2; 58-3; 59-2; 60-5; 61-3; 62-5; 63-3; 64-2; 65-3; 66-4; 67-3; 68-1; 69-3; 70-4; 71-2; 72-4; 73-3; 74-3; 75-2; 76-4; 77-1; 78-3; 79-5; HINTS & SOLUTIONS (1-5): Step VI: amazed cope line months parents years written really Step VII: amazed cope line months years written really parents. Son Brother Daughter P Q R T So, P is nephew of R. So, T is the father-in-law of P.

13 11. According to statements, venn diagram is as follow. Windows Boats Doors Buildings Conclusions: I. II. III. Hence, I, II and III follow. 12. According to statements, venn diagram is as follow. Desks Chairs Pens Drawers Conclusions: I. [ II. or III. ] Hence, either II or III follows. 13. According to statements, venn diagram is as follow. Flowers Houses Wheels Trees Conclusions: I. II. III. Hence, I and II follow. 14. According to statements, venn diagram is as follow. Radios Telephones Mirrors Desk Conclusions: I. II. III. Hence, II and III follows.

14 15. According to statements, venn diagram is as follow. (16-20): (21-25): 31. Furnitures Jungles Conclusions: I. II. III. Lucknow F I N C O N S I S T E N T (IT, OS, OT, ST, NS, IN, NO) Seven. 32. Check option one by one: Road Delhi/ Pune C B Amritsar Hills Pune/ Delhi A H Chennai Option (1), M > N < Z R < O > S < P Here, R Z and P > S. Hence, does not follow. Option (2), M > N < Z R < O > S P Here, Z R which is false and does not follow. But S P is true. Kochi E D Bhatinda G Mumbai

15 Option (3), M > N < Z < R < O > S > P Here, R > Z is true and S > P is false. Hence does not follow. Option (4), M > N < Z < R < O > S P Here, S P is true and R > Z is false. Hence it does not follow. 33. A D = L > M < R T< P= O Thus, only T > M is definitely true and rest of the options are false. 34. Z = T > N O Z = C Y> P A Only Y < A is definitely false and rest of the options are true. 35. To make the expression D G, P < L and M > A definitely true. We have to check options one by one. Option (1), N > A < M > O < R G D < S > L > P Only M > A and L > P is true and is false. Hence Option (1) is wrong. Option (2), N > A M > O < R G < D < S > L > P Only L > P is true and M > A, is false. Hence, option (2) is wrong. Option (3), N > A < M > O < R G D < S > L P Only M > A is true and rest two options D G and P < L is false. Hence option (3) is wrong. Option (4), N > A M > O < R G D < S > L > P Only L > P is true and rest two options D G and L > P is false. Hence option (4) is wrong. (36-40): Here Seven persons are : A, B, C, D, E, F and G. Seven Subjects are: History, Geography, Physics, Chemistry, Maths, Biology and English. Subjects are taught on: Monday, Tuesday, Wednesday, Thursday and Friday Now let us proceed with direct information. From clues (ii), (vi) and (viii), we get Table 1 Person Subject Day B Chemistry Tuesday C Maths Monday G - Thursday

16 Now, with the help of clues (iii), (iv), (v) and (vii) we get the table in the following form From, Table 2, it is obvious that E teaches Geography on Tuesday. Now, History and English are not taught on Tuesday, Monday, Thursday and Friday. Therefore, History and English are taught on Wednesday. Again, from Table 2, it is obvious that D teaches either Physics or Biology. But, from clue (iii), D does not teach Physics. Hence, D teaches Biology. By elimination, G teaches Physics. Hence, the obtained information can be summarised as below: ? = = ? = ? = ? = = 189? = (189) 2 = = (?) (?) 2 = = 4624 = (68) 2? = = 2000? 7 Table 2 Person Subject Day B Geography, Tuesday, Chemistry Tuesday C Maths Monday G - Thursday D - Friday F History - A English - Table 3 Person Subject Day E Geography Tuesday B Chemistry Tuesday C Maths Monday G Physics Thursday D Biology Friday F History Wednesday A English Wednesday

17 = 2000?? = ? = =?? = 104? = = Total exports of electronic goods in Required percent = 100 Total exports in = = 13.2% 13% 5426 Exports in 2003 Exports in Required percent = 100 Exports in = 100 = 8.93% 9% 717 ( ) ( ) Required percentage increase = = ( )% = 14.5% 49. Suppose the distance of one side = x km x x = x 40x 5x = 1 = x = = 360 km Suppose the number of boys and girls increased are x x 7. = x = x 25 x 8 8x 7x = x = 15 Now the number of members in group = ( ) + ( ) = = Total boys in college P = = 310 Total girls in college Q = = Total boys studying in Electronics in all five colleges = = Average = = No. of girls in Telecom stream of college S = 22 Total students in IT stream of college R = Required % = 100 = 44% No. of boys of IT stream of college R = 52 No. of boys of IT stream of college S = 39 Required ratio = 52 : 39 = 4 : 3.

18 55. No. of boys in civil stream in college P = 96 No. of girls in Electronics stream in college R = Required % = 100 = 100% Required time = hr. = 18 hrs. 12 min If the distance travelled be x km. x 30 Then required ratio = = 5 : 3 x Required % increase = = 40% ( ) Average speed of Bus A = = km/ hr 6 6 ( ) 270 Average speed of Bus C = = km/ hr Required % = = % ( ) 60. Average speed of Bus B = km/ hr = m/ sec = 13 m/ sec Let amount of ore is 100 kg., 25% or 25 kg has 90% iron = = 22.5 kg. iron % or 75 kg has no iron = 0 kg. To obtain 22.5 kg iron 100 kg ore is required. 100 To obtain 60 kg iron, ore required = 60 = kg Here, required gain or loss % = 100 = 100 = 25% Loss Here ' ve' sign indicate loss. 63. Let investment is Rs. x, then, x x = x = x = Rs.5,000

19 64. Given, A n : B n : C n = 2 : 1 : 4 A takes 35 days to complete work. Total work = 35 A n = 35 2 = 70 1 Required no. of days = 70 = 10 days D 65. Time, T = (upstream) S B S S = S 60 S B B 5 = km/ hr. (66-70): For solving these questions we summarise the given information as below: Average = = Ratio = = = 7 : = 100 = 20% % = 100 = 80% It is 59%. 63.5? 71. of of = ? = ? = ( ) ? = = = 22 (approx.) ? = College Total Passed Boys Girls A B C D E Total

20 ? = + + = = = = 13 (approx.) 73.? = = = 2083 (approx.) Total number of result = 10 C 3 = 6 = Number to not be a red = 5 C 3 = = Atleast one is red = 1 = = Total number of result = 3 C 2 2 C 2 = 3 1 = 3 (76-80): 3 1 Required probability = = No. of boys = 680 = Total number of girls = = Boys (only singing) = 320 = Number of boys attends both classes = 680 = = 136 Singing 112 Boys 136 Boys 204 Girls Martial Arts 90 Girls 25 Number of girls attends only martial arts classes = 360 = Number of girls attends both classes = ( 680 ) = Total no.of girls attending martial arts classes = = Required number = ( ) + 90 = Number of girls attend only singing class = ( ) = 66.

21 79. Number of boys attend singing class = = Total number of children attending only singing class = 112 boys + 66 girls = Required % = = % (This model paper was prepared by subject experts of RACE Institute, Hyderabad)