IBPS RRB PO PRELIMS Free Mock Test Set 4 …...d) Rs. 35240 e) Rs. 27750 34) A certain sum of money lent out at simple interest amounts to Rs. 2400 in 4 years and Rs. 3000 in 6 years

IBPS RRB PO PRELIMS Free Mock Test Set 4

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Quantitative Aptitude Directions (1-5): Read the following graph carefully and answer the given questions:

1) What is the ratio of no of companies having more demand while compared with production to those companies having more production while compared with demand? a) 1:2 b) 2:3 c) 2:1 d) 3:2 e) None of these 2) What is the difference between the total demands to that of total production of all the companies? a) 1480 b) 1840 c) 1660 d) 2020 e) None of these 3) The difference between production and demand of company B is what percent more/ less

than the difference between the production and demand of company F? a) 57.5% less b) 67.5% more c) 50% more d) 50% less e) None of these 4) The production of company A is approximately what percent of the demand of company C? a) 45 % b) 75 % c) 55 % d) 30 % e) 20 % 5) The average production of companies C and D together is approximately what percent of the average demand of A and E together? a) 149 % b) 165 %

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c) 76 % d) 130 % e) 93 % Directions (6-10): In each of the following questions, two equations (a) and (b) are given. You have to solve them and find the correct option. a) x > y b) x < y c) x ≤ y d) x ≥y e) x = y Or cannot be determined 6) I) x3 - 39304 = 0

II) y2 - 1296=0 7) I) 624-342-120+88x = 784+248+516+22 II) (21y-504) (18y-576) = 0 8) I) 26x2-64x+24=0 II) 2y2-28y+96=0 9) I) 16y + 10x=48 II) 8y+7x=32 10) I) 2x2+11x+9=0 II) 2y2-7y+6=0

Directions (11-15): Study the following information carefully and answer the questions given below:

11) Find the total number of experienced employees. a) 214000

b) 118000 c) 128000 d) 218000












e) None of these 12) Total number of employees from A and B together is approximately what percent of total number of employees from D and E together? a) 49% b) 59% c) 79% d) 39% e) 69% 13) Find the difference between total number of males to that of total number of experienced employees in all the given years together? a) 14950 b) 12550 c) 14320 d) 18940 e) None of these 14) Find the total number of female employees in all the organizations. a) 107050 b) 107000 c) 100750 d) 107800 e) None of these 15) Find the respective ratio of fresher employees of B and C together and fresher employees of E and F together? a) 28: 11 b) 28: 13 c) 11: 28 d) 13: 28 e) None of these Directions (16-20): What approximate value should come in place of question mark (?) in the following questions (?) (You are not expected to calculate the exact value). 16) 180% of 25501 + 50% of 28999 – 7634.97 = ?

a) 56870 b) 52765 c) 58720 d) 53875 e) 57270 17) 174.995 × 14.995 ÷ 25 + ? + 86.93 × 3.004 = 495 a) 220 b) 180 c) 150 d) 270 e) 130 18) 140% of 56 + 56% of 140.003 – √2026 – ? = 40 a) 40 b) 220 c) 70 d) 130 e) 180 19) 5687.285 + 4872.35 ÷ 12 × 6.989 = 5 × (3699.98 –?) a) 1740 b) 2095 c) 1910 d) 1860 e) 1995 20) 1325 × √17 + 20% of ? – 83.99 of (3/4) = 5500 a) 1315 b) 1280 c) 1380 d) 1680 e) None of these Directions (21-25): Find the wrong term in the following series: 21) 5, 7.5, 11.25, 17.5, 29.75, 50, 91.25 a) 7.5












b) 17.5 c) 29.75 d) 91.25 e) 50 22) 35, 118, 280, 600, 1238, 2504, 5036 a) 118 b) 280 c) 600 d) 1238 e) 5036 23) 10, 12, 28, 90, 368, 1840, 11112 a) 1840 b) 368 c) 90 d) 28 e) 12 24) 7, 4, 5, 9, 20, 51, 160.5 a) 4 b) 5 c) 9 d) 20 e) 51 25) 1788, 892, 444, 220, 112, 52, 24 a) 52 b) 112 c) 220 d) 444 e) None of these 26) A vessel of 90 liters is completely filled with milk and water. If 70% of milk and 40% of water is taken out then the vessel will be half empty. What was the initial ratio of milk to water in the vessel? a) 2:1 b) 2:3 c) 1:2 d) 3:5

e) 4:7 27) Two inlet pipes A and B can fill a tank in 30 minutes. If Pipe A runs 2 minute less, but pipe B takes 3 minutes more to fill the tank. Then find out the time in which pipes A and B alone can fill the tank? a) 60 min, 80 min b) 30 min. 50 min c) 40 min, 50 min d) 50 min, 75 min e) 60 min, 75 min 28) Distance between A and B is 112 km. Arun and Varun started walking towards each other from A and B respectively in a straight route. Arun walked at a speed of 8 km/hr while Varun walked at varying speed. His speed was 5 km/hr during 1st hour, 6 km/hr during 2nd hour, 7 km/hr during 3rd hour and so on. At what time they will meet each other? a) 8 hours b) 6 hours c) 7.5 hours d) 9 hours e) None of these 29) Three friends Aman, Biren and Chaman enter into a partnership. Amar invested Rs 10000 and got Rs 1000 at the end of the year from the total profit of 2000 as his share. Biren got Rs 600 as his share out of the total profit. Find the contribution of Chaman (in Rs) a) 3000 b) 4000 c) 4500 d) 3500 e) 6000 30) Water flows into an empty tank of dimensions 3.5 m * 4.4 m through a pipe of cross-sectional radius 7 cm at 10 kmph. In how












many minutes will the level of water in the tank reach 3 metres? a) 30 min b) 24 min c) 18 min d) 12 min e) None of these 31) The average of three persons A, B and C, three years ago was 28 years. While the average ages of A, B, C and D at present is 32 years, then find the age of D, 8 years ago? a) 27 years b) 23 years c) 25 years d) 19 years e) None of these 32) The average number of sweets distributed in a class of 60 students is 5. If ‘x’ number of students newly joined the class and the average becomes 4, and then find the newly joined students in the class? a) 18 b) 15 c) 12 d) 21 e) None of these 33) P, Q and R invested in the ratio of 5: 7: 9. After 5 months, P and R withdraw 2/7th and

1/3rd of the initial investment respectively. Find the share of R, if the total profit at the end of the year is Rs. 99450? a) Rs. 24510 b) Rs. 39150 c) Rs. 28750 d) Rs. 35240 e) Rs. 27750 34) A certain sum of money lent out at simple interest amounts to Rs. 2400 in 4 years and Rs. 3000 in 6 years. Find the rate of interest per annum? a) 20 % b) 18% c) 25% d) 15% e) 12% 35) Raja’s monthly salary is equal to 48 % of Anu’s monthly salary. Anu’s monthly salary is Rs. 24000 less than Baghya’s monthly salary. If Baghya’s monthly salary is Rs. 48000. What is Raja’s annual salary? a) Rs. 138240 b) Rs. 125650 c) Rs. 107860 d) Rs. 142780 e) None of these

Directions (36-40) Read the following information carefully and answer the following question. The table below shows number of student in different section of classes:























36) The average number of students in class V is 88 and the number of students in section B is 20% more than the number of students in section D then find the ratio between the number of students in Section B of class V and section D of class X? a) 20:3 b) 40:9 c) 50:69 d) 30:37 e) 69:50 37) If the ratio between number of students in section B and section C of class VI becomes 4:5 when 20 more students joins section C then find the number of students initially in section C? a) 20 b) 40 c) 55 d) 30 e) 60 38) If the average weight of students in section A of class IX is ‘x’ while that of section C is ‘x-10’ kg and the average weight of all the students in these sections is 50 kg, then find the new average weight of section C if the teacher is also included whose weight is 44 kg? a) 38 b) 40 c) 52 d) 44 e) 60 39) If the total number of students in class VII and class VIII is 620 then find the average number of students in section D of class VII and VIII? a) 137 b) 140 c) 105 d) 130

e) 160 40) If the ratio between the number of students in section C of class VIII and X is 5:4 and the number of students in section A of class X is 50% more than the section C of the same class then find the average number of students in class X? a) 50 b) 40 c) 70 d) 30 e) 60

Reasoning Ability Directions (41-45): Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Give Answer: a) If Only conclusion I follows. b) If Only conclusion II follows. c) If either conclusion I or II follows. d) If Neither conclusion I nor II follows. e) If both conclusions I and II follow 41) Statements: All A1 are A2 Some A3 are not A2 All A2 are A4 Conclusions: I) All A4 being A2 is a possibility II) No A2 being A3 is a possibility 42) Statements: Some NH1 is a NH2 Some NH2 are not NH3 All NH3 are NH4 Conclusions: I) Some NH1 being NH3 is a possibility II) All NH3 being NH4 is a possibility 43) Statements:












All one are two Some two are three No three is a four Conclusions: I) All one are three II) No two being four is a possibility 44) Statements: All set are pair Some pair are couple Some couple are single Conclusions: I) All single are pair II) Some single are not pair 45) Statements: Some student are teacher No teacher are principal All principal are watchman Conclusions: I) Some student are principal II) All teacher being watchman is a possibility. Directions (46-50): Study the following information carefully and answer the below questions. There are eight boxes namely- A1, B1, C1, D2, A2, B2, C3 and D4 are placed one above another. Each box contains different mobile phones viz. HTC, Apple, Samsung, Microsoft, Lenovo, Sony, Vivo and Micromax but not necessarily in same order. The number of boxes above C3 is one less than the number of boxes below it. There are only two boxes placed between Lenovo and Sony. The box with Lenovo is placed either immediately above or immediately below C3. The box with Samsung is placed at one of the positions above the box with Lenovo. The box with Samsung is not placed at the topmost position. Number of boxes placed above the box with Samsung is as same the number of boxes placed below the box with Microsoft. There are three

boxes between D2 and D4; the box D2 doesn’t have Samsung and is not placed at the topmost position. The box D2 is placed above D4. The box A1 contains Apple and is placed immediately above B2. The C1 box contains Micromax and is placed at one of the positions above A1 box. The box with Vivo is placed at either lowermost or topmost position. The box A2 is placed at one of the positions above the box C3. The box B1 contains neither Lenovo nor Samsung. 46) Which of the following box has Vivo mobiles? a) Box C3 b) Box B1 c) Box B2 d) Box D4 e) Box A2 47) How many boxes are there between the boxes which has Microsoft and Micromax? a) One b) Two c) Three d) More than three e) None 48) Which of the following box is placed fourth from the bottom? a) Box D2 b) Box B2 c) The box with Apple mobiles d) The box with Sony mobiles e) None of these 49) What is the position of the box which has Sony mobiles? a) Second from the bottom b) Third from the top c) Fourth from the bottom d) Third from the bottom e) Immediate below C3












50) If the Box C1 is related to Lenovo; Box A1 is related to Microsoft in a certain way. Then which of the following mobile does C3 is related to? a) Sony b) HTC c) Micromax d) Vivo e) Microsoft Directions (51-55): In each of the following questions, relationship between different elements is shown in the statements followed by two conclusions. Find the conclusion which is definitely true. Give answer: a) If only conclusion I follows. b) If only conclusion II follows. c) If either conclusion I or II follows. d) If neither conclusion I nor II follows. e) If both conclusions I and II follow. 51) Statements: Q < D ≤ B ≥ M = N; C > Z ≥ V > D; Y > J = V ≥ H Conclusions: I. J > Q II. M > C 52) Statements: Y > T ≥ R ≥ E > Q; H < G ≥ E = W; W < C < X ≤ Z Conclusions: I. W < G II. G = W 53) Statements: L < K ≤ H < J = F; V > B ≥ H > M; T > O = I ≥ B Conclusions: I. I > H II. V > L

54) Statements: E < D = C < R ≤ F; V < F ≥ G = N; U > J > M < V Conclusions: I. F > J II. G < R 55) Statements: M = J ≤ U < Y < T; G > H ≥ Y > L; C > N = H ≥ B Conclusions: I. G > N II. C > M Directions (56-60): Study the following information carefully and answer the below questions. There are eight people namely – P, L, M, O, K, N, I and J sitting in a circular table facing towards the centre. Each likes different fruits viz. Mango, Pineapple, Orange, Banana, Grapes, Guava, Watermelon and Kiwi. All the information is not necessary to be in the same order. Only one person sits between J and P. P sits third to the right of one who likes Orange. The person who likes Guava is an immediate neighbour of neither P nor J. Only two persons sit between the one who likes Guava and I, who likes Grapes. L likes Kiwi and sits to the immediate left of K. K sits to the immediate left of N, who likes Orange.M likes Pineapple and faces opposite to the one who likes Watermelon. The person who likes Mango sits to the immediate right of I. The person who likes Banana is not an immediate neighbour of the one who likes Pineapple. 56) Who sits to the immediate right of P? a) The one who likes Watermelon b) O c) L d) The one who likes Mango e) None of these












57) How many persons are sitting between M and L, when counted from L in anticlockwise direction? a) One b) Three c) More than three d) Two e) None 58) Who among the following likes Guava? a) M b) J c) K d) P e) L 59) Which of the following statement is true? a) N sits to the immediate left of K b) P and J face each other c) The one who likes Kiwi sits second to the right of P d) None is true e) All are true 60) Which of the following fruit does O like? a) Kiwi b) Orange c) Banana d) Grapes e) Pineapple (Directions 61–64): Study the following information carefully and answer the questions given below it. Digits in the numbers are to be coded as follows

Conditions:

i) If the first digit is an even number and the last digit is an odd number, then their codes are to be interchanged. ii) If the first digit is an odd number and the last digit is an even number then codes of second and fourth digits are to be interchanged. iii) If both the first and the last digits are an even number, then both are to be coded as the code for the first digit. iv) If both the first and the last digits are an odd number, then both are to be coded as the last digit. 61) What is the code for “17069”? a) A*H%B b) B*H%A c) B*H%B d) A%H*B e) None of these 62) What is the code for “14074”? a) %#^$W b) ##H*A c) A#H*# d) A*H## e) None of these 63) What is the code for “20606”? a) %!HH% b) !H%H% c) !H%H! d) !%H%H e) None of these 64) What is the code for “25681”? a) A&V%! b) !V%&A c) AV%&! d) AV%&A e) None of these












Directions (65-69): Study the following information carefully and answer the below questions. There are eight students viz. A, S, D, Q, W, E, R and T are sitting in a straight line. Some of them were facing north and rest faces south direction. All of them were a student of different grades from schoolings to college. They were sitting in such a way that their grades were in increasing order from left to right end of the straight line. No two student studies in the same grades. Note: Their Grades were ranging from 1 to 9, B.E, M.E and Ph.D. Where Ph. D is the highest grade and 1 is the lowest grade. The students sitting at the extreme ends of the line face North direction. R and E are immediate neighbours and both faces opposite directions. W belongs to 9th grade and faces the same direction of A, who belongs to 4th grade. Only three student sits between A and D; both faces same direction. Neither A nor D sits at the extreme ends of the line. S belongs to 7th grade and sits second to the right of W. Q and T faces same direction. E has done PhD. There is a B.E and M.E graduates who sits next to each other. Number of students sitting to the left of S is one year less than the grade of Q. 65) Who among the following studies B.E? a) R b) T c) D d) Either R or D e) Cannot be determined 66) How many students sit between S and R? a) One b) Two c) Three d) More than three e) None

67) Which of the following statement is true? a) R sits to the immediate right of D b) T belongs to 6th grade c) D sits second to the right of E d) None is true e) All are true 68) What is the position of S with respect to D? a) Immediate right b) Third to the right c) Second to the left d) Immediate left e) Third to the left 69) How many students face North? a) One b) Two c) Three d) More than three e) Cannot be determined 70) How many digits in the number “76498381” gets repeated if the digits which are less than 5 is added by 1 and the digits which are more than 5 is subtracted by 1? a) One b) Two c) Three d) More than Three e) None (Directions 71-72): Study the information given below and answer the questions carefully. There are seven members in a family. All are interrelated to each other. H is the only brother of S. S is the only aunt of N. N is the only daughter of X. M is the mother-in-law of X, who is the sister-in-law of S, who is unmarried person.K is the paternal grandfather of A. 71) How is A related to M?












a) Son b) Nephew c) Niece d) Grandson e) Granddaughter 72) If S has a daughter V, then how is V related to H? a) Daughter b) Nephew c) Niece d) Aunt e) Granddaughter Directions (73-75): Study the following information carefully and answer the below questions. Point P is 5 m south of Point Q. Point R is 4 m east of Point Q. Point S is 3 m north of Point R. Point S is 2 m west of Point T. Point U is 4 m south of Point T. Point V is 3 m west of Point U. Point W is 2 m south of Point V. Point W is 3m west and Point Y is 2 m south of Point X. Question: 73 73) What is the distance between Point P and Point Y? a) 5 m b) 6 m c) 4 m d) 7 m e) Cannot be determined 74) In which direction is Point Q with respect to Point W? a) North b) North – east c) South – west d) North – west e) South

75) What is the shortest distance between P and S? a) 8 m b) 3√6 m c) 4√5 m d) 5√5 m e) 6 m Directions (76-80): Study the following information carefully and answer the below questions. There are seven student viz. V, Z, C, N, M, X and B. Each has exam on different days of a week starting from Sunday to Saturday but not necessarily in the same order. Each scored different marks. Not more than one has exam on the same day and not more than one has scored same marks. Z has exam either on first day or last day of the week. X doesn’t have exam in one of the days after Wednesday. Z scored more marks than V. Number of students having exam before M is as same as the number of students having exam after M. M either scored the highest mark or the lowest mark among them. Only two students scored between X and B, who has exam on Monday. The one who has exam on Wednesday scored least marks. X scored more marks than N, but less marks than Z. N has exam in one of the days after Thursday. V scored 4th highest mark and there is only person scored between X and V. The person who has exam on Tuesday scored more marks than the one who has exam on Friday. Three persons have exam between Z and C; C has exam in one of the days before Z. 76) How many students have exam between X and B? a) One b) None c) Two d) Three e) More than three












77) Who among the following has exam on Thursday? a) Z b) X c) C d) V e) N 78) Which of the following combination is true? a) Thursday – C b) Wednesday – N c) Monday – B d) Tuesday – V e) Sunday – M

79) If B and V interchanged their exam schedule, then how many students have exam after B? a) One b) Two c) Three d) Four e) More than four 80) Who among the following scored the fifth least marks? a) N b) X c) Z d) C e) V

Answers:

Quantitative Aptitude 1) Answer: a Companies A and D have more demand than production and the rest of them have more production than demand Hence Required Ratio= 2:4= 1:2 2) Answer: c The total demand= 2100+3150+2600+5000+2800+3300= 18950 The total production= 1450+3660+3100+4200+3700+4500 = 20610 Required difference= 20610 – 18950 = 1660 3) Answer: a Difference between production and demand of company B = 3660-3150= 510 Difference between production and demand of company F = 4500-3300= 1200

Required percentage= [(1200-510)/1200]*100 = (690/1200)*100 = 57.5 % less 4) Answer: c Required percentage = (1450/2600)*100= 55.76 % = 55 % 5) Answer: a Average production C and D= (3100+4200)/2= 3650 Average demand of A and E= (2100+2800)/2= 2450 Required Percentage= (3650/2450)*100= 148.97 % = 149 % 6) Answer: e I) x3 - 39304 = 0 x3 = 39304 x=34 II) 2y2 - 5184=0 y2 =1296 y=±36













Thus, the relationship cannot be determined. 7) Answer: b I) 624-342-120+88x =784+248+516+22 624+88x= 2032 88x=1408 x=16 II) (21y-504) (18y-576) = 0 21y- 504=0, 18y-576=0 21y=504, 18y=576 y=24 and 32 Thus x<y 8) Answer: b I) 26x2-64x+24=0 13x2-32x+12=0 (X-2)(13x-6)=0 x=2 and 6/13 II) 2y2-28y+96=0 y2 - 14y + 48 = 0 (y - 6) (y - 8) = 0 y=6 and 8 Thus x<y 9) Answer: a 10x+16y=48 5x + 8y = 24 …… (1) 7x+8y=32 ……… (2) By solving the equation (1) and (2), we get, x=4 and y=0.5 Thus x>y 10) Answer: b 2x2+11x+9=0 2x(x+1) +9(x+1) =0 (x+1)(2x+9)=0 x=-4.5 and -1 2y2-7y+6=0 2y2-4y-3y+6=0 2y(y-2)-3(y-2) =0 y=1.5 and 2 Thus x<y

11) Answer: b Experienced employees of A = 5/8 x 32000 = 20000 B = 3/5 x 35000 = 21000 C = 4/7 x 28000 = 16000 D = 3/10 x 40000 = 12000 E = 5/9 x 45000 = 25000 F = 2/5 x 60000 = 24000 Total number of experienced employees = 20000 + 21000 + 16000 + 12000 + 25000 + 24000 = 118000 12) Answer: c Total number of employees from A and B together = 32000 + 35000 = 67000 Total number of employees from D and E together = 40000 + 45000 = 85000 Required percentage = 67000/85000 x 100 = 78.82% = 79 % 13) Answer: a Experienced employees of A = 5/8 x 32000 = 20000 B = 3/5 x 35000 = 21000 C = 4/7 x 28000 = 16000 D = 3/10 x 40000 = 12000 E = 5/9 x 45000 = 25000 F = 2/5 x 60000 = 24000 Total number of experienced employees = 20000 + 21000 + 16000 + 12000 + 25000 + 24000 = 118000 Number of males in A = 45/100 x 32000 = 14400 B = 55/100 x 35000 = 19250 C = 75/100 x 28000 = 21000 D = 72/100 x 40000 = 28800 E = 46/100 x 45000 = 20700 F = 48/100 x 60000 = 28800 Total number of males = 14400 + 19250 + 21000 + 28800 + 20700 + 28800 = 132950












Required difference = 132950 – 118000 = 14950 14) Answer: a Number of females in: A = (100 – 45)/100 x 32000 = 17600 B = (100 – 55)/100 x 35000 = 15750 C = (100 – 75)/100 x 28000 = 7000 D = (100 – 72)/100 x 40000 = 11200 E = (100 – 46)/100 x 45000 = 24300 F = (100 – 48)/100 x 60000 = 31200 Total number of females = 17600 + 15750 + 7000 + 11200 + 24300 + 31200 = 107050 15) Answer: d Fresher employees of: B = 2/5 x 35000 = 14000 C = 3/7 x 28000 = 12000 E = 4/9 x 45000 = 20000 F = 3/5 x 60000 = 36000 B+C = 14000 + 12000 = 26000 E+F = 20000 + 36000 = 56000 Required ratio = 26000: 56000 = 13: 28 16) Answer: b ? = (180/100) × 25501 + (50/100) × 28999 – 7634.97 = (9/5) × 25500 + (1/2) × 29000 – 7635 = 9 × 5100 + 14500 – 7635 = 60400 – 7635 = 52765 17) Answer: e 174.995 × 14.995 ÷ 25 + ? + 86.93 × 3.004 = 495 or, 175 × 15 ÷ 25 + ? + 87 × 3 = 495 or, 105+?+261 = 495 or, ? = 495 – 366 = 129 = 130 18) Answer: c 140% of 56 + 56% of 140 – √2025 – ? = 40 or, (56 + 56)% of 140 – √2025 – ? = 40 or, 112% of 140 – 45 – ? = 40 or, ? = 1.12 × 140 – 45 – 40 = 156.80 – 85 or, ? = 157 – 85 = 72 = 70

19) Answer: e 5687.285 + 4872.35 ÷ 12 × 6.989 =5 × (3699.98 – ?) Or, 5687 + (4872/12) × 7 = 5 × (3700 – ?) Or, 5687 + 406 × 7 = 18500 – 5 × ? Or, ? = 18500-5687-2842/5 = 9971/5 =1994.2 = 1995 20) Answer: a 1325 × √17 + 20% of ? – 83.99 × ¾ =5500 Or, 1325 × 4 + ? × 1/5 – 84 × ¾ = 5500 Or, 5300 + ?/5 – 63 = 5500 Or, ?/5 = 5500 + 63 – 5300 = 5563 – 5300 =263 ? = 263 × 5 = 1315 21) Answer: c The pattern is as follows

Hence, number 29.75 is wrong and should be replaced by 28.75. 22) Answer: d The pattern is as follows

Hence, number 1238 is wrong and should be replaced by 1236. 23) Answer: a The pattern is as follows












Hence, number 1840 is wrong and should be replaced by 1850. 24) Answer: e The pattern is as follows

Hence, number 51 is wrong and should be replaced by 52.5. 25) Answer: b The pattern is as follows

Hence, number 112 is wrong and should be replaced by 108. 26) Answer: c Let quantity of milk and water in the vessel be M and W liter respectively. Hence; M + W = 90… (1) According to the 2nd condition; 0.7M + 0.4W = 45… (2) Solving equation (1) and (2) we will get; M = 30 liters and W = 60 liters Hence required ratio = 30:60 = 1:2 27) Answer: d Let’s suppose pipe A takes ‘a’ minutes and B takes ‘b’ minutes to fill the tank. It means in one minute A will fill 1/a part of tank and B will fill 1/b part of tank. Therefore, (1/a) + (1/b) = 1/30 … (1) Again it is told that when pipe A runs 2 minute less and pipe B runs 3 minutes more to fill the tank. Therefore, (2/a) = (3/b) => a = (2b/3) … (2) Now in Equation (1), (3/2b) + (1/b) = 1/30 => (5/2b) = (1/30) => b = 75 minutes

And a = 50 minutes 28) Answer: e Relative speed of Arun with respect to Varun during 1st hour = 8 – (-5) = 13 km/hr Now relative speed of Arun with respect to Varun during 2nd hour = 8 – (-6) = 14 km/hr In this way we will get an Arithmetic series. Let’s suppose after ‘n’ hours they will met each other. Sum of ‘n’ terms of an A.P. = (n/2)*[2a + (n-1)*d], where, a = first term and d = common difference Hence; 112 = (n/2)* [(2 X 13) + (n – 1) X 1] => 224 = n*[n + 25] => n2 + 25n – 224 = 0 = > (n + 32) (n – 7) = 0 Solving this we will get; n = 7 They will meet after 7 hours 29) Answer: b Profit of Chaman = 2000-1000-600 = 400 Ratio of profit of Amar and Chaman = 1000:400 = 5 : 2 => Contribution ratio = 5: 2 => Contribution by Amar / Contribution by Chaman = 5/2 Amar Invested Rs. 10000 => Contribution by Chaman = 10000*2/5 = 4000 30) Answer: c Let ‘t’ be the time taken for the tank to be filled up to 3 metres. Volume of water flowed into the tank in ‘t’ hours. Π*(7/100)2 * 10000 * t = 3.5 *4.4 *3 t = 3/10 hours = 18 min 31) Answer: a Total ages of A, B and C, three years ago = > 28*3 = 84 years Total present ages of A, B and C = 84 + 9 = 93 years












Total present ages of A, B, C and D = 32*4= 128 years Present age of D = 128 – 93 = 35 years Age of D, 8 years ago = 35 – 8 = 27 years 32) Answer: b Let newly joined students be x, According to the question, 60*5 = (60 + x)*4 300 = 240 + 4x 60 = 4x X = 15 The newly joined students in the class = 15 33) Answer: b The share of P, Q and R, = > [5*5 + 5*(5/7)*7]: [7*12]: [9*5 + 9*(2/3)*7] = > [25 + 25]: [84]: [45 + 42] = > 50: 84: 87 221’s = 99450 1’s = 450 The share of R = 87’s = Rs. 39150 34) Answer: c In 4 years, Amount = 2400 In 6 years, Amount = 3000 S.I for 2 years = 3000 – 2400 = 600 S.I for 1 year = 300 S.I for 4 years = 4*300 = 1200 Principle = 2400 – 1200 = 1200 According to the question, (1200*4*r)/100 = 1200 R = 25 % 35) Answer: a Raja’s monthly salary = (48/100)*Anu’s monthly salary Anu’s monthly salary = > Baghya’s monthly salary - 24000 = > 48000 - 24000 = 24000 Raja’s monthly salary = (48/100)* 24000 = 11520

Raja’s annual salary = 11520*12 = Rs. 138240 36) Answer: e Total number of students in class V = 88*4= 352 Let the number of students in section D be x Section B= x*120/100= 6x/5 So, x + 6x/5+ 60+39= 352 11x/5= 352-99 11x/5= 253 x= 253*5/11 x= 115 Number of students in section B= 6*115/5= 138 Required ratio= 138:100= 69:50 37) Answer: c Let the let the number of students initially in section C be x Now, Number of students in section C = x+20 60/(x+20) = 4/5 300= 4x+80 220= 4x x= 55 38) Answer: d Total weight of all students= 50*160= 8000 kg So, 96*x + 64(x-10) = 8000 96x + 64x - 640= 8000 160x= 8000+640 x= 8640/160 x= 54 kg Average weight of section C = 54 -10= 44 kg Total weight if we include weight of the teacher = (44*64) + 44 = 2816 + 44 = 2860 kg Required average weight= 2860/65= 44 kg 39) Answer: a Let the number of students in section D of class VII and VIII be x and y respectively So,












(80+90+16+x) + (85+30+45+y) = 620 186+x+160+y = 620 x + y = 620 - 346 x + y = 274 Required average = 274/2 = 137 40) Answer: e Number of students in section C of class X= 45*4/5= 36 Number of students in section A of class X= 36*150/100= 54 Required average= (54+50+36+100)/4 = 240/4 = 60 students

Reasoning Ability Directions (41-45): 41) Answer: (E)

So, both Conclusion I and II follows. 42) Answer: (A)

So, only conclusion I follow. 43) Answer: (B)

44) Answer: (C)

So, either conclusion I or II follows. 45) Answer: (B)

Directions (Q. 46-50): 46) Answer: b 47) Answer: d 48) Answer: c 49) Answer: d 50) Answer: a Solution:

Explanation: The number of boxes above C3 is one less than the number of boxes below it. The box with Lenovo is












placed either immediately above or immediately below C3. There are only two boxes placed between Lenovo and Sony. Here we get three possibilities,

The box with Samsung is placed at one of the positions above the box with Lenovo. The box with Samsung is not placed at the topmost position. Number of boxes placed above the box with Samsung is as same the number of boxes placed below the box with Microsoft. Here we get two possibilities in Case (3),

There are three boxes between D2 and D4; the box D2 doesn’t have Samsung and is not placed at the topmost position. The box D2 is placed above D4.

The box A1 contains Apple and is placed immediately above B2. The C1 box contains Micromax and is placed at one of the positions above

A1 box. The box with Vivo is placed at either lowermost or topmost position.

Case (3a) gets eliminated as Vivo is placed at either topmost or lowermost position. Case (3b) gets eliminated as we cannot fix the position of Box C1 above Box A1. The box A2 is placed at one of the positions above the box C3. The box B1 contains neither Lenovo nor Samsung.

Case (2) gets eliminated, since the Box B1 neither contains Lenovo nor Samsung mobiles. Directions (51-55): 51) Answer: (A) I. J > Q (J = V > D > Q) --> True II. M > C (C > Z ≥ V > D ≤ B ≥ M) --> False So, only conclusion I follow. 52) Answer: (C)












I. W < G (G ≥ E = W )--> False II. G = W (G ≥ E = W) --> False Since it follows either or condition; either conclusion I or II follows. 53) Answer: (B) I. I > H (I ≥ B ≥ H) --> False II. V > L (V > B ≥ H ≥ K > L) --> True So, only conclusion II follows. 54) Answer: (D) I. F > J (J > M < V < F) --> False II. G < R (R ≤ F ≥ G) --> False So, neither conclusion I nor II follows. 55) Answer: (E) I. G > N (G > H= N) --> True II. C > M (C > N = H ≥ Y > U ≥ J = M) --> True So, both conclusions I and II follow. Directions (Q. 56-60): 56) Answer: b 57) Answer: d 58) Answer: c 59) Answer: d 60) Answer: c

Only one person sits between J and P. P sits third to the right of one who likes Orange. L likes Kiwi and

sits to the immediate left of K. K sits to the immediate left of N, who likes Orange. From the above statements we get two possibilities,

The person who likes Guava is an immediate neighbour of neither P nor J. Only two persons sit between the one who likes Guava and I, who likes Grapes. The person who likes Mango sits to the immediate right of I. Here we get further three possibilities in the both cases,

M likes Pineapple and faces opposite to the one who likes Watermelon. From the above statement Case (1b), Case (1c), Case (2a) and Case (2b) gets eliminated.












The person who likes Banana is not an immediate neighbour of the one who likes Pineapple. From the above statement, Case (1a) gets eliminated, as the person who likes Banana is not an immediate neighbour of the one who likes Pineapple.

(Directions 61–64): 61) Answer: (C) It follows condition (iv). So, ‘17069’ can be coded as ‘B*H%B’ 62) Answer: (D) It follows condition (ii). So, ‘14074’ can be coded as ‘A*H##’ 63) Answer: (C) It follows condition (iii). So, ‘20606’ can be coded as ‘!H%H!’ 64) Answer: (C)

It follows condition (i). So, ‘25681’ can be coded as ‘AV%&!’ Directions (Q. 65-69): 65) Answer: c 66) Answer: c 67) Answer: d 68) Answer: b 69) Answer: d

The students sitting at the extreme ends of the line face North direction. R and E are immediate neighbours and both faces opposite directions. E has done PhD. There is a B.E and M.E graduates who sits next to each other. Only three student sits between A and D; both faces same direction. Neither A nor D sits at the extreme ends of the line. W belongs to 9th grade and faces the same direction of A, who belongs to 4thgrade. S belongs to 7th grade and sits second to the right of W. Since, S sits second to the right of W, we can find the direction of W, A and D. We can fix the position and direction of R and E, since E has done PhD. From the above statements we get,

Q and T face same direction. Number of students sitting to the left of S is one year less than the grade of Q. Since, we can conclude that the student sitting between S and W belongs to 8th Grade; If we fix the position of Q in between S and W then the Grade should be 6 if S faces north.












So, we can conclude that Q sits at one of the extreme ends and S faces north. Also that, Q belongs to 3rdgrade.

70) Answer: (B)

(Directions 71-72): 71) Answer: d

72) Answer: c

Directions (Q. 73-75):

73) Answer: b 74) Answer: d 75) Answer: c By Pythagoras theorem, PS = √42 + √82 PS= √16+64 = √80 = 4√5 m Directions (Q. 76-80): 76) Answer: b 77) Answer: d 78) Answer: c 79) Answer: b 80) Answer: d

Z > X > C > V > B > N > M












Z has exam either on first day or last day of the week. Z scored more marks than V. Number of students having exam before M is as same as the number of students having exam after M. M either scored the highest mark or the lowest mark among them. Only two students scored between X and B, who has exam on Monday. From the above statements we get,

Z > V X _ _ B M-1/6 X doesn’t have exam in one of the days after Wednesday. The one who has exam on Wednesday scored least marks. X scored more marks than N, but less marks than Z. N has exam in one of the days after Thursday. V scored 4th highest mark and there is only person scored between X and V.

Z > X > _ > V >_ > _ > M

X > N X _ _ B Three persons have exam between Z and C; C has exam in one of the days before Z. Here Case (1a), Case (1b) and Case (2a) gets eliminated as it doesn’t follow the above statement.

Z > X > _ > V >_ > _ > M X > N X _ _ B The person who has exam on Tuesday scored more marks than the one who has exam on Friday. Z > X > C > V > B > N > M





















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