ibps rrb po prelims free mock test set 5 quantitative aptitude · 2019-06-16 · ibps rrb po...

IBPS RRB PO PRELIMS Free Mock Test Set 5

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Quantitative Aptitude Directions (Q. 1 – 5) Study the following information carefully and answer the given questions: Following table shows the total number of graduates attended the interview in different venues of a certain company. The ratio of male and female among them and the percentage of selected candidates are given.

1) Total number of male graduates who attended the interview in Mumbai, Kolkata and Hyderabad together is approximately what percentage of total number of female graduates who attended the interview in Chennai, Delhi and Bangalore together? a) 81 % b) 72 % c) 60 % d) 105 % e) 95 % 2) Find the difference between the total number of selected candidates in Chennai, Mumbai and Bangalore together to that of total number of selected candidates in Delhi, Kolkata and Hyderabad together? a) 412 b) 460

c) 325 d) 365 e) None of these 3) Find the ratio between the total number of graduates who attended the interview in Delhi, Mumbai and Bangalore together to that of total number of females who attended the interview in all the given venue’s together? a) 123 : 95 b) 295 : 267 c) 85 : 54 d) 12 : 7 e) None of these 4) Total number of males who attended the interview is approximately what percentage more/less than the total number of females who

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attended the interview in all the given venue’s together? a) 4 % more b) 20 % less c) 20 % more d) 4 % less e) 10 % more 5) Find the total number of candidates selected for the job in all the given venue’s together? a) 5230 b) 5970 c) 6875 d) 6125 e) None of these 6) A started business with Rs. 32000 and B joined him after certain number of months with a capital of Rs. 36000. At the end of a year, the profit is divided in the ratio of 4: 3. B invested for how many months? a) 5 months b) 7 months c) 9 months d) 4 months e) None of these 7) If the compound interest on a certain sum for 2 years at 5% per annum is Rs. 2050, find the corresponding simple interest? a) Rs. 1950 b) Rs. 2000 c) Rs. 1970 d) Rs. 1930 e) None of these 8) 30 men can complete the work on 15 days and 5 men left after 8 days. Some women were replaced to complete the remaining work. If work should be completed in agreed time, then how many women were being replaced? (Efficiency of man and woman is same)

a) 5 women b) 7 women c) 8 women d) 4 women e) None of these 9) A boat can travel 44 km downstream in 66 min. The ratio of the speed of the boat in still water to the speed of the stream is 3: 1. How much time will the boat take to cover 75 km upstream? a) 3 hour 15 min b) 2 hour 25 min c) 3 hour 45 min d) 4 hour 30 min e) None of these 10) The ratio between the ages of two persons A and B is 3: 5. The difference between their ages is 12 years. Find the age of another person C if the average age of all the persons, after 4 years will be 27 years? a) 21 years b) 19 years c) 17 years d) 23 years e) None of these Directions (Q. 11 - 15): What value should come in the place of question mark (?) in the following questions? 11) (52 % of 65000) ÷? = (72 % of 3500) × 3 + 890 a) 6 b) 9 c) 12 d) 4 e) None of these 12) (7/19) of 8740 + (6/25) of 7175 =? × 7 a) 706












b) 675 c) 558 d) 742 e) None of these 13) √21609 ÷ 7 × 142 + 63 =? + 25785 ÷ 15 a) 2890 b) 3120 c) 2460 d) 3780 e) None of these 14) (9/35) of (105/180) of 900 - 420 + 52 % of 1350 =?

a) 538 b) 417 c) 493 d) 576 e) None of these 15) 76 % of 1350 + (5/9) of 5184 – 35 % of 780 = ? a) 3633 b) 3125 c) 2789 d) 2352 e) None of these

Directions (Q. 16 – 20): Study the following information carefully and answer the given questions: Following table shows the total sales value of different company watches, the selling price per watch and total number of watches sold. Some values are missing.

Note: Total number of watches sold = Total sales value/Selling price per watch












16) Find the total sales value of all the given watches together? a) 412 b) 354 c) 468 d) 376 e) None of these 17) Find the difference between the selling price per watch of Sonata and Titan? a) Rs. 250 b) Rs. 200 c) Rs. 300 d) Rs. 325 e) None of these 18) Total number of Titan and Rolex watches sold is approximately what percentage of total number of Fastrack and HMT watches sold? a) 72 % b) 96 % c) 87 % d) 104 % e) 118 % 19) Find the average selling price per/watch of all the given watches together? a) 1890 b) 2150 c) 2740 d) 1460 e) None of these 20) In which of the following company watch has lowest price? a) Sonata b) Titan c) Rolex d) Fastrack e) HMT

Directions (Q. 21 - 25): What value should come in the place of question mark (?) in the following number series? 21) 7, 20, 78, 387, 2318, ? a) 8564 b) 7826 c) 12563 d) 10785 e) 16221 22) 156, 78, 117, 292.5, ? , 4606.875 a) 1023.75 b) 897.5 c) 752.5 d) 1258.25 e) 1789.25 23) 17, 25, 77, 295, 1305, ? a) 3456 b) 4178 c) 5279 d) 6741 e) 4595 24) 2378, 2499, 4227, 4396, 7140, ? , 11461 a) 8550 b) 7365 c) 7780 d) 9135 e) 9570 25) 1257, 1385, 1528, 1691, 1879, ? a) 1923 b) 2125 c) 2097 d) 1971 e) 2189 Directions (Q. 26 – 30) Study the following information carefully and answer the given questions:









Following table shows the percentage of girls and the difference between the girls and boys in different schools who appeared for final examination in different years.

26) Find the difference between the total number of boys who appeared for final examination in the year 2016 in School P to that of 2017 in School R? a) 215 b) 278 c) 163 d) 174 e) None of these 27) Find the ratio between the total number of girls who appeared for final examination in School Q and S together in the year 2016 and that of School P and T together in the year 2017? a) 386 : 629 b) 174 : 357 c) 52 : 115 d) 27 : 98 e) None of these 28) Find the average number of boys in School Q, R and S together who appeared for final examination in the year 2017? a) 662

b) 606 c) 715 d) 740 e) None of these 29) Total number of students who appeared for final examination in School Q in the year 2016 is approximately what percentage of total number of students who appeared for final examination in School T in the year 2017? a) 65 % b) 52 % c) 40 % d) 78 % e) 85 % 30) Find the sum of the total number of students who appeared for final examination in School P, Q and R together in the year 2016? a) 5000 b) 4000 c) 5500 d) 6000 e) None of these Directions (Q. 31 - 35): In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as, a) If x > y b) If x ≥ y c) If x < y d) If x ≤ y e) If x = y or the relation cannot be established 31) I). 9x + 5y = -26 II). 3x – 4y = -20 32) I). x2 – 19x + 48 = 0 II). y2 – 9y – 52 = 0 33) I). 2x2 – 20x + 32 = 0




II). 4y2 – 25y + 36 = 0 34) I). x + √961 = √2916 II). y = ∛9261 35) I). x2 + 30x + 81 = 0 II). y2 + 16y + 48 = 0 36) Sita and Mano invested in a business in which Mano invests Rs. 5000 more than Sita. Sita invested for 15 months while Mano invested for 18 months. If Mano gets Rs. 13200 more than Sita out of the total profit of Rs. 73200. Then find the total amount invested by both of them in the business? a) Rs. 48000 b) Rs. 55000 c) Rs. 60000 d) Rs. 42000 e) None of these 37) Two Stations A and B are 444 km apart. A train leaves station A from station B and at the same time another train leaves station B to A. Both the trains meet 6 hours after they start moving. If the train that starts from station A is 14 km/hr faster than the other one, then find the speed of fastest train? a) 42 km/hr b) 48 km/hr c) 44 km/hr d) 40 km/hr e) None of these 38) A is sold at 30 % of profit and B is sold at 10 % loss. The total profit is Rs. 50. The ratio of selling price of A and selling price of B is 13: 12. Find the cost price of B? a) Rs. 400 b) Rs. 520 c) Rs. 350 d) Rs. 480

e) None of these 39) A sum of money doubles itself in 4 years at simple interest. In how many years will the amount be 8 times itself? a) 25 years b) 22 years c) 28 years d) 26 years e) None of these 40) Rajiv marks an item one - fourth more than the CP and allows successive discounts of x% and (x + 10) %. If the CP of an item is Rs. 400 and he losses 10 %, find the value of ‘x’? a) 15 % b) 18 % c) 7 % d) 10 % e) 20 %

Reasoning Ability Direction (41-42): Study the following information carefully and answer the questions given below. Arjun started walking towards west from his School and walks a distance of 10 km. At that point he takes right turn and walks a distance of 6 km. Then he takes left turn and walks a distance of 4 km. At that point he takes left turn and walks a distance of 12 km. Then he takes left turn and walks a distance of 6 km to reach Stadium . 41) What is the shortest distance between School and Stadium? a) 5 b) 7 c) 9 d) 10 e) None of these












42) In which direction is School with respect to Stadium? a) North west b) North east c) South east d) South west e) None of these Direction (43-47): Study the following information carefully and answer the questions given below: Eight persons namely A, B, G, H, T, U, Y, and Z are sitting in a square table. Four of them are sitting at the middle of the square table and others are sitting at the corners of the square table. All of them were facing towards the centre of the table. Each has got different ranks viz. 1, 2, 3, 4, 5, 6, 7, and 8 but not necessarily in the same order. A sits third to the right of the one whose rank 7th. Only one person sits between the person A and H, whose rank 3rd. The one whose rank 4th sits immediate right of the one whose rank is 1st. U is not neighbour of A. Y’s rank is not 4.There are two persons between H and G. U sit second to the left of Y. Only one person sits between G and Z, whose rank 5th. Y is an immediate neighbour of B. Z is not an immediate neighbour of H. The rank difference between A and Y is a perfect square. U’s rank is neither 4th nor 7th. A’s rank is neither 4th nor 6th. A sits in the middle of the square table. 43) Who among the following person sits second to the right of T? a) A b) H c) B d) Z e) None of these 44) What is the rank of B? a) 2 b) 3

c) 5 d) 8 e) None of these 45) How many persons sit between G and the one whose rank 3rd counted from the right of G? a) One b) Two c) Three d) Four e) None of these 46) What is the position of U with respect to the one whose rank 7th? a) Third to the left b) Immediate left c) Third to the right d) Second to the left e) None of these 47) If B related to 1, G related to 2 in the same way which of the following year is Z related to? a) 1 b) 2 c) 3 d) 4 e) None of these Direction (48-52): In the question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows from the information given in the statement. a) If either conclusion I or conclusion II follows b) If only conclusion I follow c) If both conclusion I and conclusion II follows d) If only conclusion II follows e) If neither conclusion I nor conclusion II follows 48) Statements:












All Mobile are Charger Some Charger is Cable No Cable is an Adapter All Adapter are Battery Conclusions: I) Some Charger is Adapter II) Some Battery is Mobile 49) Statements: No Grapefruit is an Orange Some Orange is Lime Some Lime is Banana No Banana is a Mango Conclusions: I) Some Grapefruit are not Lime II) Some Lime are not Mango 50) Statements: Some Bus is Lorry No Lorry is Van Some Van is Car No Car is Auto Conclusions: I) Some Car being Lorry is a Possibility II) Some Lorry is Auto 51) Statements: Some Peas are Maize All Maize are Eggplant No Eggplant is Carrot Some Carrot are Spinach Conclusions: I) No Carrot is Maize II) Some Spinach are not Maize 52) Statements: No Lock is Door All Door are Window All Window are Room Some Room is House Conclusions: I) Some House is Lock

II) No Lock is a House Direction (53-57): Study the following information carefully and answer the questions given below: Nine boxes A, B, C, D, E, F, G, H, and I are kept above one another but not necessarily in the same order. Each of the boxes have different number of balls i.e. 25, 28, 29, 32, 33, 36, 39, 42, and 45 and are not necessarily in the same order. There are four boxes between I and the box which has 45 balls. More than four boxes are kept above I. There are two boxes kept between G and the box which has 45 balls. The number of balls in box A is a prime number. The box which has 42 balls is kept immediately above box B. The Box H is kept immediately above the box E which has 33 balls. The box I have neither 25 balls nor 36 balls. There are two boxes kept between A and C which has 28 balls. The box C is kept immediately above G. The box D is not kept below the box A. The box D does not have 25 balls. There are two boxes kept between G and F which has 32 balls. 53) Which of the following box is kept immediately above C? a) H b) E c) G d) B e) None of these 54) How many balls are there in the box I? a) 25 b) 42 c) 28 d) 32 e) None of these 55) How many boxes are kept between B and the box which has 33 balls? a) None









b) One c) Two d) Three e) None of these 56) If F is related to 42 and G is related to 45 in a certain way, then in the same way E is related to which of the following? a) 36 b) 28 c) 39 d) 29 e) None of these 57) Which one of the following combination is true? a) I - 42 b) C - 29 c) H - 36 d) F - 35 e) B - 25 Direction (58-62): In these questions, relationship between different elements is shown in the statements. These statements are followed by two conclusions. a) If both conclusion I and conclusion II follows b) If only Conclusion I follow c) If either Conclusion I or Conclusion II follows d) If neither Conclusion I nor Conclusion II follows e) If only Conclusion II follows 58) Statements: P ≤ Q < R > S; T ≥ Q P II). R B < E ≤ G Conclusions: I). G > A

II). D < F 60) Statements: I < J > K < L; M > K = N ≤ O Conclusions: I). J > O II). M > L 61) Statements: X < Y = Z ≥ A; U < V ≥ Y = W Conclusions: I). W > A II). A = W 62) Statements: M = N > O ≤ P; Q ≤ R < N > S Conclusions: I). N < Q II). M > Q Directions (63-67): Study the following information carefully and answer the questions given below. In a certain code, “School students are playing” is coded as “mj uv de xy” “Some teachers are playing” is coded as “wx kl de xy” “Students enjoying the holidays” is coded as “pq no uv gh” “Teachers enjoying school days” is coded as “fj mj kl gh” “School holidays are completed” is coded as “st mj de pq” 63) What is the code for “Some” in the given coded language? a) kl b) de c) wx d) xy e) None of these




64) What is the code for “Completed” in the given coded language? a) rs b) st c) pq d) fj e) None of these 65) Which of the following word represents the code “pq” in the given coded language? a) Holidays b) Students c) Enjoying d) Teachers e) None of these 66) Which of the following word represents the code “fj” in the given coded language? a) are b) School c) Students d) Days e) None of these 67) What is the code for “Enjoying summer holidays” in the given coded language? a) gh de pq b) kl pq gh c) gh bj pq d) gh pq fj e) None of these Directions (68-72): Study the following information carefully and answer the questions given below. Eight persons J, L, N, P, R, V, X, and Z are sitting in a nine seated row and one is vacant. All of them are facing north. Each one of them works in different company i.e. Amazon, Apple, Yahoo, Wink, Indeed, Google, Dapper, and Adobe but not necessarily in the same order.

L sits fourth to the left of the one who works in Dapper and neither of them sits at extreme ends. The one who works in apple sits immediate left of J, who works in Amazon. There are two persons sitting between vacant and the one who works in Wink. X sits fourth to the right of N, who works in Wink. N doesn’t sit at any of the extreme ends. The one who sits in the middle works in adobe. Neither N nor X is an immediate neighbour of L. The one who works in Yahoo sits an immediate left of the one who works in Google who does not sit at any of the extreme ends. P is not an immediate neighbour of N. There are three persons sit between V and Z, who works in Indeed. Z sits left of V. 68) Who sits to an immediate left of the one who works in Google? a) Z b) N c) L d) P e) None of these 69) What is the position of the one who works in Apple with respect to P? a) Second to the left b) Second to the right c) Immediate left d) Immediate right e) None of these 70) How many persons are sitting between J and N? a) None b) One c) Two d) Three e) None of these 71) Who among the following persons are the immediate neighbours of vacant seat? a) J and the one who works in Apple b) P and the one who works in Google









c) P and the one who works in Adobe d) X and the one who works in Dapper e) None of these 72) In which one of the following companies does R works? a) Google b) Indeed c) Apple d) Amazon e) None of these 73) How many pairs of letters are there in the word “SACRILEGIOUS” which has as many letters between them in the word as in alphabetical series? a) None b) One c) Two d) Three e) More than three 74) The position of how many numbers will remain unchanged if each of the numbers in the series “879235146” is arranged in ascending order? a) None b) One c) Two d) Three e) More than three 75) If it is possible to make it only one meaningful word from the third, fourth, seventh and the last letter of the word ‘HACKNEYED’, then the last letter of the word is your answer. If no such word can be formed Z is your answer and if more than one word can be formed Y is your answer. a) Z b) Y c) L

d) G e) None of these Directions (76-80): Study the following information carefully and answer the questions given below.

I) If the first and the last letters are vowels both are coded as the first letter code. II) If the first letter is vowel and the fourth letter is consonant both codes are interchanged. III) If the second letter is a consonant and the last letter is vowel both are coded as the last letter code. 76) What is the code for ‘Y N W P O’? a) ‘> > 1 # @’ b) ‘> 3 1 # >’ c) ‘> > 1 # >’ d) ‘> @ 1 # @’ e) None of these 77) What is the code for ‘A M I K V’? a) ‘T 2 8 * 9’ b) ‘* 8 2 T 9’ c) ‘* 2 8 T 9’ d) ‘T 2 * 9 8’ e) None of these 78) What is the code for ‘E I P A O’? a) ‘6 8 # T 6’ b) ’6 8 # T @’ c) ‘1 @ # T 6’ d) ‘@ 8 # @ $’ e) None of these 79) What is the code for ‘A N H O S’? a) ‘4 3 < @ T’ b) ‘@ 3 < @ T’ c) ‘T 3 < @ T’ d) ‘T 3 < @ 4’ e) None of these




80) What is the code for ‘Q M W K I’? a) ‘7 2 1 * 8’ b) ‘7 8 1 * 8’

c) ‘7 1 8 * 8’ d) ‘7 1 2 * 8’ e) None of these

Answers:

Quantitative Aptitude 1) Answer: a Total number of male graduates who attended the interview in Mumbai, Kolkata and Hyderabad together = > 1600 * (1/4) + 1400 * (3/5) + 1800 * (5/9) = > 400 + 840 + 1000 = > 2240 Total number of female graduates who attended the interview in Chennai, Delhi and Bangalore together = > 1800 * (3/5) + 2100 * (1/3) + 2200 * (5/11) = > 1080 + 700 + 1000 = > 2780 Required % = (2240/2780) * 100 = 80.57 % = 81 % 2) Answer: d The total number of selected candidates in Chennai, Mumbai and Bangalore together = > 1800*(75/100) + 1600*(58/100) + 2200*(61/100) = > 1350 + 928 + 1342 = 3620 The total number of selected candidates in Delhi, Kolkata and Hyderabad together = > 2100*(67/100) + 1400*(42/100) + 1800*(70/100) = > 1407 + 588 + 1260 = 3255 Required difference = 3620 – 3255 = 365 3) Answer: b

The total number of graduates who attended the interview in Delhi, Mumbai and Bangalore together = > 2100 + 1600 + 2200 = 5900 The total number of females who attended the interview in all the given venue’s together = > 1800*(3/5) + 2100*(1/3) + 1600*(3/4) + 1400*(2/5) + 2200*(5/11) + 1800*(4/9) = > 1080 + 700 + 1200 + 560 + 1000 + 800 = 5340 Required ratio = 5900: 5340 = 295: 267 4) Answer: a Total number of males who attended the interview in all the given venue’s together = > 1800*(2/5) + 2100*(2/3) + 1600*(1/4) + 1400*(3/5) + 2200*(6/11) + 1800*(5/9) = > 720 + 1400 + 400 + 840 + 1200 + 1000 = 5560 Total number of females who attended the interview in all the given venue’s together = > 1800*(3/5) + 2100*(1/3) + 1600*(3/4) + 1400*(2/5) + 2200*(5/11) + 1800*(4/9) = > 1080 + 700 + 1200 + 560 + 1000 + 800 = 5340 Required % = [(5560 – 5340)/5340]*100 = 4.12 % = 4 % more 5) Answer: c The total number of candidates selected for the job in all the given venue’s together = > 1800*(75/100) + 2100*(67/100) + 1600*(58/100) + 1400*(42/100) + 2200*(61/100) + 1800*(70/100) = > 1350 + 1407 + 928 + 588 + 1342 + 1260













= > 6875 6) Answer: d The ratio of share of A and B = [(32000*12): (36000*x)] The profits divided in the ratio of 4: 3, According to the question, (32000*12) / (36000*x) = 4/3 (8*12)/(9x) = 4/3 X = 8 months B joined after 4 months. 7) Answer: b Let the sum of money be x, x*[(1 + (5/100))2 – 1] = 2050 x*[(105/100)2 – 1] = 2050 x*[(21/20)2 – 1] = 2050 x*[(441/400) – 1] = 2050 x*[41/400] = 2050 x = 2050*(400/41) = Rs. 20000 Simple interest on the sum = (20000 * 5 * 2)/100 = Rs. 2000 8) Answer: a Total work = men * days Total work = 30*15 = 450 8 days work = 30*8 = 240 Remaining work = 450 – 240 = 210 Let the number of women replaced be x, 210/(25 + x) = 7 25 + x = 30 x = 5 women 9) Answer: c Speed of downstream = D/T = 44/(66/60) = 44*(60/66) = 40 km/hr The ratio of the speed of the boat in still water to the speed of the stream = > 3 : 1 (3x, x) 4x = 40 x = 10 Speed of upstream = 3x – x = 2x = 20 km/hr

Distance = 75 km Time = D/S = 75/20 = 3 ¾ hr = 3 hour 45 min 10) Answer: a The ratio between the ages of two persons A and B = 3: 5 (3x, 5x) 5x - 3x = 12 2x = 12 X = 6 years A’s present age = 6*3 = 18 years B’s present age = 6*5 = 30 years Total present ages of A, B and C = (27*3) – 12 = 69 years Present age of C = 69 - (18 + 30) = 21 years 11) Answer: d [(52/100)*65000] ÷ x = (72/100)*3500 *3 + 890 (33800/x) = 7560 + 890 (33800/x) = 8450 x = 4 12) Answer: a (7/19)*8740 + (6/25)*7175 = 7x 3220 + 1722 = 7x 4942 = 7x x = 4942/7 = 706 13) Answer: c (147*14*14/7) + 63 = x + (25785/15) 4116 + 63 = x + 1719 4116 + 63 – 1719 = x x = 2460 14) Answer: b (9/35)*(105/180)*900 - 420 + (52/100)*1350 = x 135 – 420 + 702 = x x = 417 15) Answer: a (76/100)*1350 + (5/9)*5184 – (35/100)*780 = x 1026 + 2880 – 273 = x x = 3633












16) Answer: d Total sales value of Rolex watch = > 3000*36000 = 108 million The total sales value of all the given watches together = > 54 + 108 + 70 + 60 +84 = 376 17) Answer: b The selling price per watch of Sonata = > 70000000/100000 = Rs. 700 The selling price per watch of Titan = Rs. 900 Required difference = 900 – 700 = Rs. 200 18) Answer: c Total number of Titan watches sold = > 54000000/900 = 60000 Total number of Titan and Rolex watches sold = > 60000 + 36000 = 96000 Total number of HMT watches sold = > 84000000/1200 = 70000 Total number of Fastrack and HMT watches sold = > 40000 + 70000 = 110000 Required % = (96000/110000)*100 = 87 % 19) Answer: d The selling price per watch of Sonata = > 70000000/100000 = Rs. 700 The selling price per watch of Fastrack = > 60000000/40000 = Rs. 1500 The total selling price per/watch of all the given watches together = > 900 + 3000 + 700 + 1500 + 1200 = 7300 Required average = 7300/5 = 1460 20) Answer: a The selling price per watch of Titan = Rs. 900 The selling price per watch of Rolex = Rs. 3000 The selling price per watch of Sonata = > 70000000/100000 = Rs. 700 The selling price per watch of Fastrack = > 60000000/40000 = Rs. 1500

The selling price per watch of HMT = Rs. 1200 Sonata company watch has lowest price. 21) Answer: e 7 * 3 - 1 = 20 20 * 4 – 2 = 78 78 * 5 – 3 = 387 387 * 6 – 4 = 2318 2318 * 7 – 5 = 16221 22) Answer: a 156 * 0.5 = 78 78 * 1.5 = 117 117 * 2.5 = 292.5 292.5 * 3.5 = 1023.75 1023.75 * 4.5 = 4606.875 23) Answer: d 17 * 1 + 23 = 25 25 * 2 + 33 = 77 77 * 3 + 43 = 295 295 * 4 + 53 = 1305 1305 * 5 + 63 = 6741 24) Answer: b 2378 + 112 = 2499 2499 + 123 = 4227 4227 + 132 = 4396 4396 + 143 = 7140 7140 + 152 = 7365 7365 + 163 = 11461 25) Answer: c

The difference of difference is, 15, 20, 25, 30,... The answer is, 2097 26) Answer: d The total number of boys who appeared for final examination in the year 2016 in School P = > [(52 – 48)/100] * total students in School P = 64












= > Total students in School P = 64 * (100/4) = > Total boys = 64 * (100/4) * (48/100) = > 768 The total number of boys who appeared for final examination in the year 2017 in School R = > [(55 – 45)/100] * total students in School R = 108 = > Total students in School R = 108 * (100/10) = > Total boys = 108 * (100/10) * (55/100) = > 594 Required difference = 768 – 594 = 174 27) Answer: a The total number of girls who appeared for final examination in School Q in the year 2016 = > [(52 – 48)/100] * total students in School Q = 56 = > Total students in School Q = 56 * (100/4) = > Total girls = 56 * (100/4) * (48/100) = > 672 The total number of girls who appeared for final examination in School S in the year 2016 = > [(54 – 46)/100] * total students in School S = 72 = > Total students in School S = 72 * (100/8) = > Total girls = 72 * (100/8) * (54/100) = > 486 The total number of girls who appeared for final examination in School P in the year 2017 = > [(53 – 47)/100] * total students in School P = 72 = > Total students in School P = 72 * (100/6) = > Total girls = 72 * (100/6) * (47/100) = > 564 The total number of girls who appeared for final examination in School T in the year 2017 = > [(51 – 49)/100] * total students in School T = 54 = > Total students in School T = 54 * (100/2) = > Total girls = 54 * (100/2) * (49/100) = > 1323 Required ratio = (672 + 486): (564 + 1323) = > 1158: 1887 = > 386: 629

28) Answer: b The total number of boys in School Q who appeared for final examination in the year 2017 = > [(51 – 49)/100] * total students in School Q = 32 = > Total students in School Q = 32 * (100/2) = > Total boys = 32 * (100/2) * (49/100) = > 784 The total number of boys in School R who appeared for final examination in the year 2017 = > [(55 – 45)/100] * total students in School R = 108 = > Total students in School R = 108 * (100/10) = > Total boys = 108 * (100/10) * (55/100) = > 594 The total number of boys in School S who appeared for final examination in the year 2017 = > [(56 – 44)/100] * total students in School S = 120 = > Total students in School S = 120 * (100/12) = > Total boys = 120 * (100/12) * (44/100) = > 440 Required average = (784 + 594 + 440)/3 = 1818/3 = 606 29) Answer: b Total number of students who appeared for final examination in School Q in the year 2016 = > [(52 – 48)/100] * total students in School Q = 56 = > Total students in School Q = 56 * (100/4) = 1400 Total number of students who appeared for final examination in School T in the year 2017 = > [(51 – 49)/100] * total students in School T = 54 = > Total students in School T = 54 * (100/2) = 2700 Required % = (1400/2700) * 100 = 52 % 30) Answer: a The total number of students who appeared for final examination in School P in the year 2016









= > [(52 – 48)/100] * total students in School P = 64 = > Total students in School P = 64 * (100/4) = 1600 The total number of students who appeared for final examination in School Q in the year 2016 = > [(52 – 48)/100] * total students in School Q = 56 = > Total students in School Q = 56 * (100/4) = 1400 The total number of students who appeared for final examination in School R in the year 2016 = > [(51 – 49)/100] * total students in School R = 40 = > Total students in School R = 40 * (100/2) = 2000 Required sum = 1600 + 1400 + 2000 = 5000 31) Answer: c 9x + 5y = -26 ---à (1) 3x – 4y = -20 ---à (2) By substituting (1) and (2), we get, x = -4, y = 2 x < y 32) Answer: e I). x2 – 19x – 48 = 0 (x – 16) (x – 3) = 0 x = 16, 3 II). y2 – 9y – 52 = 0 (y – 13) (y + 4) = 0 y = 13, -4 Can’t be determined 33) Answer: e I). 2x2 – 20x + 32 = 0 2x2 – 4x -16x + 32 = 0 2x (x – 2) – 16 (x – 2) = 0 (2x – 16) (x – 2) = 0 x = 16/2, 2 = 8, 2 II). 4y2 – 25y + 36 = 0 4y2 – 16y – 9y + 36 = 0 4y(y – 4) -9 (y – 4) = 0

(4y – 9) (y – 4) = 0 y = 9/4, 4 = 2.25, 4 Can’t be determined 34) Answer: a I). x + √961 = √2916 x = 54 – 31 = 23 II). y = ∛9261 y = 21 x > y 35) Answer: e I). x2 + 30x + 81 = 0 (x + 27) (x + 3) = 0 x = -27, -3 II). y2 + 16y + 48 = 0 (y + 12) (y + 4) = 0 y = -12, -4 Can’t be determined 36) Answer: b Let the initial investment of Sita be Rs. x, Amount invested by Mano = x + 5000 The shares of Sita and Mano = 15x: 18 (x + 5000) = 5x: 6x + 30000 Let the share of Mano and Sita be p and q respectively, p + q = 73200 --à (1) p – q = 13200 --à (2) By solving the equation (1) and (2), we get, p = 43200, q = 30000 The share of Mano and Sita = Rs. 43200 and Rs. 30000 According to the question, 5x/(6x + 30000) = (30000/43200) 5x/(6x + 30000) = (25/36) 36x = 30x + 150000 6x = 150000 x = 25000 The initial investment of Sita = Rs. 25000 The initial investment of Mano = Rs. 30000 Total amount invested by both of them in the business,




= > 25000 + 30000 = > Rs. 55000 37) Answer: c Let the speed of the first train be x and that of the second train be y Then, x – y = 14…… (i) Time = Distance/Speed 6 = 444/(x + y) x + y = 444/6 x + y = 74…… (ii) By solving the equation (i) and (ii), we get, 2x = 88 x = 44 km/hr, y= 30 km/hr The speed of the fastest train is 44 km/h. 38) Answer: a The ratio of selling price of A and selling price of B = 13: 12 (13x, 12x) Cost price of A = > (130/100) * CP (A) = 13x = > CP (A) = 13x * (100/130) = 10x Cost price of B = > (90/100) * CP (B) = 12x = > CP (B) = 12x * (100/90) = 40x/3 Total profit = Rs. 50 Profit = SP – CP According to the question, = > (13x + 12x) – (10x + 40x/3) = 50 = > 25x – (70x/3) = 50 = > (75x – 70x) = 150 = > 5x = 150 = > x = 30 Cost price of B = 40x/3 = (40 * 30)/3 = Rs. 400 39) Answer: c Total amount = P + S.I 2P – P = S.I S.I = P P * 4 * r/100 = P R = 25 % The amount 8 times itself in,

8P – P = S.I 7P = S.I P * 25 * n/100 = 7P n = 7 * 4 = 28 years 40) Answer: d SP = 400 * (90/100) = 360 MP = 400 * (5/4) = Rs. 500 According to the question, 500 * [(100 – x)/100] * [(90 – x)/100] = 360 9000 – 100x – 90x + x2 = 7200 x2 – 190x + 1800 = 0 (x – 180) (x – 10) = 0 x = 180, 10 (180 should be eliminated) x = 10 %

Reasoning Ability 41) Answer: (D) Shortest distance = √(62+82)= √(36+64) =√100 = 10 km

42) Answer: B












Directions (Q. 43-47):

A sits third to the right of the one whose rank 7th. Only one person sits between the person A and H, whose rank 3rd. A sits in the middle of the square table.

There are two persons between H and G.

Only one person sits between G and Z, whose rank 5th. Z is not an immediate neighbour of H.

Incase 2 b, Z is not an immediate neighbour of H, this condition not satisfied, so rejected. Y is an immediate neighbour of B. The one whose rank 4th sits immediate right of the one whose rank is 1st. U sit second to the left of Y. U is not neighbour of A. Y’s rank is not 4.












In case 2a, Y is an immediate neighbour of B, this condition not satisfied so rejected. The rank difference between A and Y is a perfect square. U’s rank is neither 4th nor 7th. A’s rank is neither 4th nor 6th. The one whose rank 4th sits immediate right of the one whose rank is 1st

In case 1 b, U’s rank is neither 4th nor 7th , this condition is not satisfied so rejected. 43) Answer: d 44) Answer: e 45) Answer: b 46) Answer: a 47) Answer: c 48) Answer: (E)

49) Answer: (D)

50) Answer: (B)

51) Answer: (C)

52) Answer: (A)

Directions (Q. 53-57):












There are four boxes between I and the box which has 45 balls. More than four boxes kept above I. There are two boxes kept between G and the box which has 45 balls. There are two boxes kept between G and F which has 32 balls.

In Case 4a and Case 4b, there are two boxes kept between G and F which has 32 balls, this condition is not satisfied so rejected. The number of balls in box A is a prime number. There are two boxes kept between A and C which has 28 balls. The box C kept immediately above G.

In Case 1, there are two boxes kept between A and C which has 28 balls, this condition is not satisfied, so rejected. The Box H kept immediately above the box E which has 33 balls. The box D not kept one of the boxes below the box A.

In case 2 The box D not kept one of the boxes below the box A, this condition is not satisfied so rejected. The box which has 42 balls kept immediately above of B. The box I have neither 25 balls nor 36 balls. The box D does not have 25 balls.









So Case 3; is the final solution. 53) Answer: b 54) Answer: e 55) Answer: c 56) Answer: a 57) Answer: e 58) Answer: (B) P ≤ Q < R > S; T ≥ Q P (P ≤ Q True II). R Q < U) --> False 59) Answer: A A ≤ B ≥ C = D; F > B < E ≤ G I). G > A (A ≤ B < E ≤ G) --> True II). D < F (D = C ≤ B < F) --> True 60) Answer: D I < J > K < L; M > K = N ≤ O I). J > O (J > K = N ≤ O) --> False II). M > L (M > K < L) --> False 61) Answer: C X < Y = Z ≥ A; U < V ≥ Y = W I). W > A (W = Y = Z ≥ A) --> False II). A = W (W = Y = Z ≥ A) --> False 62) Answer: E M = N > O ≤ P; Q ≤ R < N > S I). N < Q (N > R ≥ Q) --> False II). M > Q (M = N > R ≥ Q) --> True Directions (63-67):

63) Answer: c 64) Answer: b 65) Answer: a 66) Answer: d 67) Answer: c Directions (68-72):

L sits fourth to the left of the one who works in Dapper and neither of them works sits at extreme ends. X sits fourth to the right of N, who works in Wink. The one who sits in the middle works in adobe. Neither N nor X is an immediate neighbour of L.

There are two persons sitting between vacant and the one who works in Wink.

In case 3, there are two persons sitting between the vacant and the one who works in Wink, this condition is not satisfied, so it gets rejected. The one who works in apple sits an immediate left of J, who works in Amazon. The one who works in Yahoo sits an immediate left of the one who works in Google who does not sit at any of the extreme ends. There are three persons sit between V and Z, who works in Indeed. N doesn’t sit at any of the extreme ends. Z sits left of V.

In case 1a and case 2, the one who works in Yahoo sits an immediate left of the one who works in Google who does not sit at any of the extreme ends, this condition is not satisfied, so it gets rejected. P is not an immediate neighbour of N.

68) Answer: c 69) Answer: b 70) Answer: d 71) Answer: d 72) Answer: a 73) Answer: D

74) Answer: A

75) Answer: A C, K, Y, D no words can be formed in these letters so Z is the answer 76) Answer: D It satisfies condition III, so answer is > @ 1 # @ 77) Answer: C It satisfies condition II, so answer is *28T9 78) Answer: A It satisfies condition I, so answer is 68#T6 79) Answer: D All three conditions are not satisfied, so answer is T3 < @4 80) Answer: B It satisfies condition III, so answer is 781*8

ibps rrb po prelims free mock test set 5 quantitative aptitude · 2019-06-16 · ibps rrb po...

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