IBPS RRB Clerk Prelims 2019 Question Paper with Answers & Explanations

Explanation

From the statement P < R ≤ M = L > O ≤ V > Y, combining the path from P to L gives P < R ≤ M = L, which simplifies directly to P < L, or equivalently L > P.

Explanation

From the statement A ≥ B > D = F < E ≤ C, tracing the direct path between D and C yields D = F < E ≤ C. This establishes the strict inequality D < C, making conclusion II logically true.

Explanation

Tracing the path between A and C in the given statement A = E ≥ D ≥ C < F ≤ B yields A = E ≥ D ≥ C, which simplifies to A ≥ C. The relation A ≥ C indicates that either A > C (which is C < A) or A = C is true. Since these two conclusions form a complementary pair covering all possibilities for A ≥ C, either conclusion I or II must follow.

Explanation

From the given statement F ≥ N = O > P ≤ K > T, tracing from F to K gives F ≥ N = O > P ≤ K, and from N to K gives N = O > P ≤ K. Both paths contain opposing relational symbols (> and ≤), which means no definite comparison can be established between K and F or between N and K.

Explanation

Evaluating the floor positions from top to bottom yields F on floor 7, B on floor 6, A on floor 5, E on floor 4, C on floor 3, D on floor 2, and G on floor 1. The pairs C and D, E and C, F and B, and A and B all consist of individuals living on consecutive adjacent floors. In contrast, G and C occupy floor 1 and floor 3 respectively, which are separated by floor 2.

Explanation

Based on the given floor conditions, A lives on floor 5, B lives on floor 6, C lives on floor 3, E lives on floor 4, D lives on floor 2, and G lives on floor 1. Since F lives above E and must occupy an odd-numbered floor that is not floor 5, F occupies the 7th floor, which is the top floor.

Explanation

F lives on the 7th floor, meaning there are 0 persons living above F. The person with 0 persons living below them is the occupant of the 1st floor. Since G lives on floor 1, the number of persons above F equals the number of persons below G.

Explanation

G lives on floor 1, the ground floor of the 7-floor building. The number of floors above floor 1 is 6 (floors 2 through 7), which is greater than four.

Explanation

In the evaluated floor sequence, A lives on floor 5. The floor immediately below floor 5 is floor 4, which is occupied by E.

Explanation

To find the 12th element to the left of the 20th element from the left end, subtract the positions: 20 - 12 = 8th element from the left end. Counting elements from the left end of the given sequence, the 8th element is M.

Explanation

The position fourth to the right of the twelfth element from the right end is equivalent to 12 - 4 = 8th element from the right end. Eliminating all symbols from the arrangement leaves the sequence of letters and numbers as A, 3, 4, E, N, M, 8, 6, L, D, S, 9, 8, 6, Q, Y, Z, 1, 7, R, O, G, 2, 1, B, 2, U. Counting eight elements from the right end (U, 2, B, 1, 2, G, O, R) yields R.

Explanation

Scanning the given sequence for the pattern Symbol → Number → Letter reveals two such instances: the number 4 (preceded by % and followed by E) and the number 6 (preceded by | and followed by L).

Explanation

In four of the groups, the second and third characters are obtained from the first character by moving +3 steps and +1 step to the right respectively: 3 to E (+3) and % (+1), M to (+3) and (+1), D to 9 (+3) and S (+1), and Y to 7 (+3) and Z (+1). The group R+2 does not adhere to this position offset rule.

Explanation

The first elements of the terms start at positions 3 (element 3), 7 (element N), 12 (element 6), and 18 (element 8), following an increasing step pattern of +4, +5, +6, and +7. The next group starts at position 18 + 7 = 25, which is %. Each group consists of the 1st, 3rd, and 2nd elements from its starting position (i, i+2, i+1). For starting position 25, the elements at positions 25, 27, and 26 are %, O, and R, forming %OR.

Explanation

The circular seating order in anticlockwise direction starting from P is P, R, S, V, T, U, Q. Arranging the seven individuals alphabetically in anticlockwise direction starting from P gives the sequence P, Q, R, S, T, U, V. Comparing the two sequences excluding P shows that T and U remain in the 5th and 6th positions respectively.

Explanation

In the clockwise direction (left of Q), U sits immediately adjacent to Q at position 7. Therefore, counting from the left of Q to U gives zero persons between them.

Explanation

T is at position 6. Facing the center, moving two places to the right (anticlockwise direction) goes from position 6 to position 7 (U) and then to position 1, which is occupied by Q.

Explanation

In the given seating arrangement, moving three positions to the right (anticlockwise) from the first person gives the second person in four of the pairs: V to Q (3 steps), P to V (3 steps), R to T (3 steps), and S to U (3 steps). In TQ, Q is only 2 steps to the right of T.

Explanation

Counting four positions to the right (anticlockwise) from V (position 5) gives P (position 2). Moving two positions to the left (clockwise) from P gives U (position 7).

Explanation

The statement "Only a few lamps are bottles" implies that some lamps are bottles. Since "No bottle is ship", any lamp that is a bottle cannot be a ship. Thus, it is impossible for all lamps to be ships, making conclusion II logically follow. Conclusion I does not follow because it is possible for all ships to be lamps without violating any statement.

Explanation

From the given statements, sticks that are not bamboos may or may not be fish. As a result, neither conclusion I nor conclusion II can be established as definitely true on its own. However, conclusion I and conclusion II form a complementary pair of particular affirmative and universal negative statements regarding the same subjects. Therefore, either conclusion I or conclusion II follows.

Explanation

The statement that only a few wells are mats indicates that some wells are definitely not mats. Since all pillows are contained within mats, those wells that are not mats can never be pillows. Consequently, all wells can never be pillows, making conclusion II definitely true. Conclusion I is not necessarily true because wells and pillows may be completely disjoint within mats. Thus, only conclusion II follows.

Explanation

Arranging the two parallel rows based on the given clues yields the facing pairs from position 1 to 5: O faces D, P faces A, M faces B, R faces E, and N faces C. In this arrangement, O, C, D, and N are seated at the extreme ends of their respective rows, whereas P is seated at position 2, which is an inner position.

Explanation

In the solved seating arrangement, B sits at position 3 facing North, directly opposite M at position 3 facing South. For a person facing South, left corresponds to moving towards higher position numbers. Position 4 is occupied by R, and position 5 is occupied by N. Therefore, N sits second to the left of M.

Explanation

In Row 2, persons face South, meaning their left direction extends toward position 5. Since N is located at position 5, there are no persons seated beyond N to the left.

Explanation

In Row 1, D sits at position 1, A sits at position 2, B sits at position 3, E sits at position 4, and C sits at position 5. The persons seated between D and C are A, B, and E, making a total of three persons.

Explanation

Based on the completed arrangement, A is seated at position 2 in Row 1 facing North. The person sitting directly opposite A at position 2 in Row 2 facing South is P.

Explanation

Comparing 'He will Say' (1 3 9) and 'Say To Him' (3 5 2), the common word 'Say' corresponds to the common code 3. Comparing 'He will Say' (1 3 9) and 'He May Do' (8 7 9), the common word 'He' corresponds to the common code 9. Eliminating the codes for 'He' and 'Say' leaves the code for 'will' as 1.

Explanation

In the word MINUTE, E (5th letter of alphabet) and I (9th letter of alphabet) have 3 letters between them (N, U, T), which matches the 3 letters between them in alphabetical order (F, G, H). Similarly, T (20th letter) and U (21st letter) are adjacent in the word and consecutive in alphabetical order. Counting both forward and backward directions yields two such pairs.

Explanation

Placing six persons in descending order of weight based on the given clues yields C > D > B > A > F > E. Since only two persons are lighter than A, A is in 4th place. B is heavier than A but lighter than C and D, so B is 3rd, D is 2nd (115 kg), and C is 1st. F is heavier than E but lighter than D, so F is 5th and E is 6th (56 kg). Four persons (C, D, B, and A) are heavier than F.

Explanation

Ordering the six persons from heaviest to lightest based on the given clues yields the sequence C > D > B > A > F > E. Given that D is 115 kg and E is 56 kg: From the equation E + A = 131 kg, A = 131 - 56 = 75 kg. From the equation D + B = 213 kg, B = 213 - 115 = 98 kg. The sum of the weights of A and B is 75 + 98 = 173 kg.

Explanation

Arranging the six persons from heaviest to lightest based on the given conditions gives C > D > B > A > F > E. D is directly behind C in weight, making D the second heaviest person with a weight of 115 kg.

Explanation

The arrangement from heaviest to lightest is C > D > B > A > F > E. Statement I is true because exactly two persons (C and D) are heavier than B. Statement II is true because the sum of the weights of D and E is 115 + 56 = 171 kg. Statement III is false because E is the lightest person and weighs 56 kg, not 58 kg.

Explanation

Numbering the seats sequentially from left end (1) to right end: D is 2nd from the left end (position 2). B sits two positions to the right of D (position 5). F sits three positions to the right of B (position 8). E sits five positions to the right of B (position 10). S sits six positions to the right of E (position 16). C sits six positions to the right of S (position 22). Since C is 3rd from the extreme right end, the total number of seats is 22 + 2 = 24.

Explanation

In the row of 24 persons, S is positioned at 16 from the left end. Placing G second to the right of S puts G at position 18 from the left end. The position of G from the right end is calculated as 24 - 18 + 1 = 7.

Explanation

In the seating arrangement, E is at position 10 from the left end and F is at position 8. Since 10 - 8 = 2, F is positioned second to the left of E.

Explanation

Taking point A as origin (0, 0), the relative coordinates are C(-12, 0), B(0, 18), D(28, 18), E(28, 9), F(14, 9), and G(14, 22). In the pairs CB, AD, AE, and BG, the second point is located in the North-East direction relative to the first point. In segment FB, point B lies in the North-West direction with respect to point F, which makes it the odd one out.

Explanation

Setting point A at the origin (0, 0), point B is at (0, 18), point D at (28, 18), point E at (28, 9), point F at (14, 9), and point G at (14, 22). Comparing point A(0, 0) to point G(14, 22), point A has both a smaller x-coordinate and a smaller y-coordinate, placing it in the South-West direction with respect to point G.

Explanation

Point G is located at coordinates (14, 22). Moving 4m south gives point S the coordinates (14, 18). Since point B is at (0, 18), both points share the same y-coordinate. The straight-line distance between point B and point S is 14 - 0 = 14m.

Explanation

For each four-letter block formed by consecutive alphabetical letters, the standard pattern used is 1st, 4th, 3rd, 2nd letter. Applying this to P-Q-R-S gives PSRQ, A-B-C-D gives ADCB, V-W-X-Y gives VYXW, and I-J-K-L gives ILKJ. For the set L-M-N-O, the arrangement MONL represents the order 2nd, 4th, 3rd, 1st, making it the odd one out.

Explanation

The pattern in the series is formed by multiplying the previous term by consecutive integers starting from 1 and adding 1: 1 × 1 + 1 = 2 2 × 2 + 1 = 5 5 × 3 + 1 = 16 16 × 4 + 1 = 65 65 × 5 + 1 = 326 326 × 6 + 1 = 1957

Replacing 328 with 326 satisfies the rule across the entire series.

Explanation

The differences between successive numbers follow the sequence of multiples of 7: 11 - 4 = 7 25 - 11 = 14 46 - 25 = 21 74 - 46 = 28 74 + 35 = 109 109 + 42 = 151

Following this pattern, 129 is incorrect and should be replaced with 109.

Explanation

The series consists of two alternating sub-series: First sub-series (1st, 3rd, 5th, 7th terms): 84, 83, 82, 81 (decreasing by 1 each time). Second sub-series (2nd, 4th, 6th terms): 96, 95, 94 (decreasing by 1 each time).

Thus, the 5th term should be 82 instead of 80 to maintain the pattern 84, 83, 82, 81.

Explanation

The sequence of differences between consecutive terms follows perfect squares in ascending order: 3 + 1² = 4 4 + 2² = 8 8 + 3² = 17 17 + 4² = 33 33 + 5² = 58 58 + 6² = 94

The second term should be 4 instead of 5 to fit the square difference pattern.

Explanation

Upstream speed u = 36 / 2 = 18 km/h. Downstream speed v = 66 / 3 = 22 km/h. Speed of the boat in still water = (v + u) / 2 = (22 + 18) / 2 = 20 km/h.

Explanation

Work done by Tap A in 1 minute = 1 / 36 Work done by Tap B in 1 minute = 1 / 60 Combined work in 1 minute = 1 / 36 + 1 / 60 = 8 / 180 = 2 / 45 Time required to fill 1/6 th of the tank = (1 / 6) ÷ (2 / 45) = (1 / 6) × (45 / 2) = 15 / 4 = 3 ¾ minutes.

Explanation

The radius of the first circle r₁ = C₁ / (2π) = 132 / (2 × 22 / 7) = 21 cm. The radius of the second circle r₂ = C₂ / (2π) = 110 / (2 × 22 / 7) = 17.5 cm. Area of first circle A₁ = (22 / 7) × 21² = 1386 cm². Area of second circle A₂ = (22 / 7) × 17.5² = 962.5 cm². Difference in area = 1386 - 962.5 = 423.5 cm².

Explanation

Initial mixture: 64 liters milk, 20 liters water. After removing ¼th of the mixture (16 liters milk and 5 liters water): Remaining milk = 48 liters Remaining water = 15 liters

When x liters of water is added, the new water volume becomes 15 + x. The ratio of water to milk is given as 1:2: (15 + x) / 48 = 1 / 2 15 + x = 24 x = 9 liters.

Explanation

Cost of x pens at Rs 20 each = 20x Cost of (x - 2) pencils at Rs 4 each = 4(x - 2) Total cost = 20x + 4(x - 2) = 424 20x + 4x - 8 = 424 24x = 432 x = 18.

Explanation

Let the present ages of B and C be 12k and 5k respectively. Since the ratio of present age of A to C is 2:1, A = 2 × C = 2 × 5k = 10k. Given that A is 6 years younger than B: B - A = 6 12k - 10k = 6 2k = 6 k = 3

Present age of B = 12k = 12 × 3 = 36 years.

Explanation

Solving the quadratic equations: 2x² - 5x + 2 = 0 → (2x - 1)(x - 2) = 0 → x = ½ = 0.5 or x = 2 2y² - 9y + 7 = 0 → (2y - 7)(y - 1) = 0 → y = 1 or y = 3.5

Comparing the roots gives 0.5 < 1 and 0.5 < 3.5, but 2 > 1 and 2 < 3.5. Since x is smaller than y for some values and larger than y for others, no relation can be established between x and y.

Explanation

Solving the quadratic equations: 3x² + 7x + 4 = 0 → (3x + 4)(x + 1) = 0 → x = -1, -4/3 ≈ -1.33 y² + 9y + 20 = 0 → (y + 4)(y + 5) = 0 → y = -4, -5

Comparing the values: -1 > -4 and -1 > -5 -1.33 > -4 and -1.33 > -5

Since every root of x is strictly greater than every root of y, x > y.

Explanation

Solving the quadratic equations: x² - 7x + 10 = 0 → (x - 2)(x - 5) = 0 → x = 2, 5 y² - 14y + 45 = 0 → (y - 5)(y - 9) = 0 → y = 5, 9

Comparing the values: 2 < 5 and 2 < 9 5 = 5 and 5 < 9

Since y is either greater than or equal to x for all combinations, y ≥ x.

Explanation

Rearranging and solving the quadratic equations: x² - 3x - 4 = 0 → (x - 4)(x + 1) = 0 → x = 4, -1 y² + 6y + 8 = 0 → (y + 2)(y + 4) = 0 → y = -2, -4

Comparing the values: 4 > -2 and 4 > -4 -1 > -2 and -1 > -4

Since every value of x is strictly greater than every value of y, x > y.

Explanation

Rearranging and solving the quadratic equations: x² - 3x - 10 = 0 → (x - 5)(x + 2) = 0 → x = 5, -2 y² + 7y + 10 = 0 → (y + 2)(y + 5) = 0 → y = -2, -5

Comparing the values: 5 > -2 and 5 > -5 -2 = -2 and -2 > -5

Since x is either greater than or equal to y across all pairs, x ≥ y.

Explanation

Items sold by A and B on Monday = 160 + 200 = 360 Items sold by B and C on Wednesday = 320 + 280 = 600

Ratio = 360 : 600 = 3 : 5.

Explanation

Total items sold on Wednesday = 210 + 320 + 280 = 810 Average = 810 ÷ 3 = 270.

Explanation

Items sold by A and B on Tuesday = 240 + 180 = 420 Items sold by B and C on Wednesday = 320 + 280 = 600

Percentage = (420 ÷ 600) × 100 = 70%.

Explanation

Items sold by B on Monday and Tuesday = 200 + 180 = 380 Items sold by A on Tuesday and Wednesday = 240 + 210 = 450

Difference = 450 - 380 = 70.

Explanation

Total items sold by B across three days = 200 + 180 + 320 = 700 Total items sold by C across three days = 150 + 330 + 280 = 760

Ratio = 700 : 760 = 35 : 38.

Explanation

Using SP = MP × (1 - discount%) and SP = CP × (1 + profit%): 0.85 × (CP + 250) = 1.275 × CP 0.85 × CP + 212.5 = 1.275 × CP 0.425 × CP = 212.5 CP = 212.5 / 0.425 = 500

Explanation

Increase in girls = Total increase - Increase in boys = 1725 - 1440 = 285 Girls in 2016 = 285 / 0.15 = 1900 Boys in 2016 = (36 / 19) × 1900 = 3600 Total increased number of boys in 2017 = 3600 + 1440 = 5040

Explanation

Let A's salary be x and B's salary be 3x. Total remaining amount = 0.85 × (x + 3x) = 3.4x 3.4x = 42500 ⇒ x = 12500 House rent paid by A = 15% of 12500 = 0.15 × 12500 = 1875

Explanation

Profit ratio = (Investment of A × Time) : (Investment of B × Time) : (Investment of C × Time) Ratio = (50000 × 24) : (75000 × 18) : (125000 × 12) Ratio = 1200000 : 1350000 : 1500000 Simplifying by dividing each term by 150000 gives 8 : 9 : 10

Explanation

Using the compound interest formula A = P(1 + r/100)ᵗ: 1102.50 = 1000(1 + r/100)² (1 + r/100)² = 1.1025 1 + r/100 = √1.1025 = 1.05 r = (1.05 - 1) × 100 = 5%

Explanation

Simplify the given expression step by step using percentage and fraction simplification:

?² = 40% × (5/11) × 352

Convert 40% to a fraction (40/100 = 2/5): ?² = (2/5) × (5/11) × 352

Cancel out 5 in the numerator and denominator: ?² = (2/11) × 352

Divide 352 by 11 to get 32: ?² = 2 × 32 = 64

Taking the square root on both sides: ? = √64 = 8

Explanation

Evaluate the square roots of the numbers in the expression: √1444 = 38 √676 = 26

Substitute these values back into the equation: ?² = (38 + 26) ÷ 4 ?² = 64 ÷ 4 ?² = 16 ? = √16 = 4

Explanation

Simplify the right-hand side of the given equation:

120 ÷ 2 = 60

Substitute this back into the equation:

(? - 0.5) ÷ 0.2 = 60

Multiply both sides by 0.2:

? - 0.5 = 60 × 0.2 ? - 0.5 = 12

Add 0.5 to both sides to solve for ?:

? = 12 + 0.5 = 12.5

Explanation

Solving the equation 60% of ? - √324 = 222: 0.60 × ? - 18 = 222 0.60 × ? = 240 ? = 240 / 0.60 = 400

Explanation

Simplifying the terms on both sides of the equation: 2³ × 3² = 8 × 9 = 72 √64 = 8

Substituting these values into the given equation: 72 ÷ (90 ÷ ?) = 8

Rearranging the division: 72 × (? ÷ 90) = 8 (4 ÷ 5) × ? = 8 ? = (8 × 5) ÷ 4 ? = 10

Explanation

Simplify the right-hand side of the equation: 160 ÷ 10 = 16. The equation simplifies to √(4 × ?) = 16. Squaring both sides gives: 4 × ? = 16² = 256. Dividing both sides by 4 yields ? = 256 ÷ 4 = 64.

Explanation

Calculate the square root of 5929: √5929 = 77, since 77² = 5929. Calculate the square root of 8464: √8464 = 92, since 92² = 8464. Add the two square roots: 77 + 92 = 169. Set the sum equal to (?)²: (?)² = 169. Take the square root of both sides to find ?: ? = √169 = 13.

Explanation

Convert the mixed fractions on the left-hand side into improper fractions or directly subtract their whole number and fractional parts: 7½ - 2½ = (15/2) - (5/2) = 10/2 = 5

Now, set the simplified left-hand side equal to the right-hand side of the given expression: 5 = 50 / ?

Cross-multiplying to solve for the unknown value (?): ? × 5 = 50 ? = 50 / 5 = 10

Explanation

First evaluate the innermost expression inside the bracket: 2 × ¼ = ½ = 0.5. Add 4 to the result: 0.5 + 4 = 4.5. Multiply by 8: 4.5 × 8 = 36. Set the left-hand side equal to the right-hand side: 36 = ? × 10. Divide by 10 to solve for ?: ? = 36 ÷ 10 = 3.6.

Explanation

Simplify the multiplication inside the bracket: 1.5 × 4 = 6. The equation becomes 80% of (6 + ?) = 24. Express 80% as a decimal: 80% = 0.8. Divide 24 by 0.8 to isolate the expression inside the bracket: 6 + ? = 24 ÷ 0.8 = 30. Subtract 6 from 30 to solve for ?: ? = 30 - 6 = 24.