IBPS RRB Clerk Prelims 2020 Question Paper with Answers & Explanations

Explanation

Four persons sit at corners facing outward and four sit in the middle facing inward. Placing D at a corner position 1 facing outward, G sits at corner position 7. Third to the right of G (clockwise) is Q at middle position 2 facing inward. Opposite Q is E at middle position 6. W sits second to the right of E (counter-clockwise) at middle position 4. K sits at corner position 3 facing outward so that H sits second to its right at corner position 5. The remaining middle position 8 is occupied by S facing inward. Starting from S at position 8 and moving 2 positions to the right (counter-clockwise), we arrive at E at position 6.

Explanation

In the square table arrangement, D is at corner position 1 facing outward, Q is at middle position 2, K is at corner position 3, and W is at middle position 4. Since D faces outward (away from the center), moving to the right of D means moving in a clockwise direction. Counting clockwise from D to W covers position 2 (Q) and position 3 (K), meaning there are exactly two persons sitting between D and W.

Explanation

In the circular arrangement, G sits at corner position 7 facing outward (away from the center). For a person facing outward, left corresponds to a counter-clockwise movement. The first person to the left of G is E at position 6, and the second person to the left of G is H at position 5. Therefore, H sits second to the left of G.

Explanation

The seating order of the eight persons clockwise around the square table is D at position 1, Q at position 2, K at position 3, W at position 4, H at position 5, E at position 6, G at position 7, and S at position 8. Adjacent positions represent immediate neighbours. Since D is at position 1 and Q is at position 2, Q and D sit next to each other as immediate neighbours.

Explanation

Four persons (D, G, K, H) sit at the corner positions of the square table and face away from the center. Four persons (Q, W, E, S) sit at the middle of the sides and face towards the center. Since E is seated at the middle of a side facing inward, while D, G, K, and H are all seated at corners facing outward, E does not belong to the group formed by the others.

Explanation

In the sequence P4SAW58F91RE72O3751B6KGN, the vowels present are A, E, and O. Checking the character immediately following each vowel: A is followed by consonant W; E is followed by digit 7; and O is followed by digit 3. Thus, there are two numbers (7 and 3) that are immediately preceded by a vowel.

Explanation

Removing all numerical digits from the given sequence P4SAW58F91RE72O3751B6KGN leaves the letter sequence: P, S, A, W, F, R, E, O, B, K, G, N. Counting elements starting from the right end gives N as 1st, G as 2nd, K as 3rd, B as 4th, O as 5th, E as 6th, and R as 7th.

Explanation

Removing all consonants (P, S, W, F, R, B, K, G, N) from the sequence P4SAW58F91RE72O3751B6KGN leaves the remaining elements: 4, A, 5, 8, 9, 1, E, 7, 2, O, 3, 7, 5, 1, 6. Counting from the left end: 4 is 1st, A is 2nd, 5 is 3rd, 8 is 4th, 9 is 5th, 1 is 6th, E is 7th, 7 is 8th, and 2 is 9th.

Explanation

In the given sequence P4SAW58F91RE72O3751B6KGN, counting from the left end gives E as the 12th element. Moving 5 positions to the left of the 12th element means finding the (12 - 5) = 7th element from the left end. Counting to the 7th element from the left yields 8.

Explanation

Arranging the five persons from tallest (1st) to shortest (5th) gives C > E > A > B > D. D is the shortest with no one shorter, and C is the tallest with four taller than D and zero shorter than C. Since A is the third tallest with a height of 86 cm, and D is the shortest with a height of 68 cm, B (being 4th) must have a height strictly between 68 cm and 86 cm. The values 69 cm, 81 cm, and 78 cm all satisfy 68 cm < height < 86 cm, so any of them could represent the height of B.

Explanation

Arranging the five persons in decreasing order of height yields C > E > A > B > D. Since C is the tallest person at the first position, no one is taller than C.

Explanation

From the height arrangement C > E > A > B > D, A occupies the third position directly behind E, making A the person just shorter than E.

Explanation

Given that all Greens are contained within Yellows (G ⊆ Y) and no Yellows overlap with Black (Y ∩ B = ∅), it strictly follows that no Greens can overlap with Black (G ∩ B = ∅). Therefore, conclusion I logically follows, while conclusion II contradicts this fact.

Explanation

The statement "Only a few Sofas are Beds" directly implies that some Sofas are Beds and some Sofas are not Beds, making conclusion I true. Furthermore, since the Sofas that are Beds cannot be Curtains due to "No Beds are Curtains", those Sofas are not Curtains, making conclusion II also logically true.

Explanation

It is possible for all Tea to be Cold drinks without violating "Only a few Drinks are Cold drinks", so conclusion I does not necessarily follow. Additionally, since all Tea is Drinks and some Coffee is Tea, some Coffee must be Drinks, which refutes conclusion II.

Explanation

It is possible for all Lawns to be contained within Trees while remaining disjoint from Gardens, making conclusion I false. Since Flowers are a subset of Trees and some Trees are Gardens, it is possible for Flowers to overlap with Gardens, making conclusion II logically valid.

Explanation

The unique left-to-right seating arrangement of the seven persons facing north is F, D, G, C, A, B, E. Since F occupies the first position on the extreme left end, there are no persons sitting to the left of F.

Explanation

In the arrangement F (1), D (2), G (3), C (4), A (5), B (6), E (7), G is at the third position from the left. Moving three positions to the right from G reaches the sixth position, which is occupied by B.

Explanation

In the row arrangement F, D, G, C, A, B, E, the person at the extreme left end (position 1) is F and the person at the extreme right end (position 7) is E.

Explanation

In the arrangement F (1), D (2), G (3), C (4), A (5), B (6), E (7), D is sitting at position 2 and E is sitting at position 7. The four persons sitting between them are G, C, A, and B.

Explanation

From the given conditions, placing B at the 6th position from the left puts D at position 2. Since A is two places away from D, A must be at position 5, which puts C at position 4 to its immediate left. F must sit at position 1 to be to the left of C without being adjacent to C. Since E must have more than two persons between F and E, E must sit at position 7, leaving G at position 3. The linear order from left to right is F, D, G, C, A, B, E. Thus, B sits to the immediate left of E.

Explanation

Let point P be at coordinates (0, 0). Point D is 10m north of P, so D is at (0, 10). Point Y is 14m east of D, located at (14, 10). Point Q is 8m north of Y, located at (14, 18). Point S is 20m west of Q, located at (-6, 18). Point H is 8m south of S, located at (-6, 10). The shortest distance between H (-6, 10) and D (0, 10) is 0 - (-6) = 6m along the horizontal axis.

Explanation

Placing point P at coordinates (0, 0), point D is at (0, 10), point Y is at (14, 10), and point Q is at (14, 18). Comparing the position of P (0, 0) relative to Q (14, 18), P lies to the west (0 < 14) and south (0 < 18) of Q. Therefore, point P is in the south-west direction with respect to point Q.

Explanation

Since four persons sit to the left of D, D is at position 5 from the left. D sitting four places to the left of C places C at position 9. C sitting two places to the left of B places B at position 12. Position difference between B (12) and D (5) is 12 - 5 - 1 = 6 persons sitting between B and D.

Explanation

D is at position 5, C is at position 9, B is at position 12, and A is at position 17. The number of persons between D and B is 6, so there must also be 6 persons between B and F, placing F at position 19. Since F is in the 4th position from the right end, the total number of persons in the row is 19 + 3 = 22.

Explanation

Based on the arrangement, B is at position 12 and A is 5 places to the right of B, putting A at position 17. F is placed at position 19. Counting two positions to the right of A (17 + 2 = 19) gives position 19, which is occupied by F.

Explanation

In the row of 22 persons, B is positioned at place 12 from the left end. The number of persons sitting to the right of B is calculated as 22 - 12 = 10.

Explanation

Analyzing letter positions in MATCHES: M(13), A(1), T(20), C(3), H(8), E(5), S(19). In forward counting: M and S have 5 letters between them (19 - 13 = 6); A and C have 1 letter between them (3 - 1 = 2); A and E have 3 letters between them (5 - 1 = 4); C and E have 1 letter between them (5 - 3 = 2). This gives a total of 4 pairs, which is more than three.

Explanation

Inserting 'L' after the first letter of each given word yields: COT becomes CLOT (meaningful word) IVY becomes ILVY PEA becomes PLEA (meaningful word) FOX becomes FLOX MRU becomes MLRU Thus, exactly two meaningful English words are formed.

Explanation

Replacing the third letter of each word with its succeeding alphabetical letter gives: COT → COU (contains vowels O and U, count = 2) IVY → IVZ (contains vowel I, count = 1) PEA → PEB (contains vowel E, count = 1) FOX → FOY (contains vowel O, count = 1) MRU → MRV (contains no vowels, count = 0) Only one word (COU) contains vowels more than once.

Explanation

Arranging the given words in alphabetical order yields COT, FOX, IVY, MRU, PEA. The word appearing fourth from the left end in this ordered sequence is MRU.

Explanation

Alphabetical rearrangement of letters within each word gives COT, IVY, AEP, FOX, and MRU. The second letter is a vowel in three of these words: O in COT, E in AEP, and O in FOX.

Explanation

The second word from the left end is IVY, whose first letter is I, and the third word from the right end is PEA, whose third letter is A. In the English alphabet, there are seven letters between A and I, which are B, C, D, E, F, G, and H.

Explanation

Subtracting 2 from each odd digit and adding 1 to each even digit transforms 35982476 into the set of digits 1, 3, 7, 9, 3, 5, 5, 7. In this set, 3, 5, and 7 each appear twice, whereas 1 and 9 each appear only once.

Explanation

D is placed on 12th March as it is an even-numbered date in a 31-day month. With five persons preceding D, A must be on 7th January so five persons follow A. Since one person is between A and C, C is on 7th February. F precedes C, placing F on 12th January. B is scheduled immediately before E, placing B on 12th February and E on 7th March. Thus, three persons, A, F, and C, have events before B.

Explanation

In the chronological sequence, A has an event on 7th January, F on 12th January, C on 7th February, B on 12th February, E on 7th March, and D on 12th March. Since D holds the final slot on 12th March, no individual has an event after D.

Explanation

F's event is on 12th January and D's event is on 12th March. Between these two dates, C on 7th February, B on 12th February, and E on 7th March have their events, giving a total of three persons.

Explanation

D is scheduled on 12th March and A on 7th January. C is placed on 7th February and F on 12th January. B and E occupy the remaining adjacent slots on 12th February and 7th March respectively. Hence, E has an event on 7th March.

Explanation

The scheduled sequence of events from earliest to latest is A on 7th January, F on 12th January, C on 7th February, B on 12th February, E on 7th March, and D on 12th March. The events of E and F are separated by two persons, whereas every other pair consists of individuals with consecutive event dates.

Explanation

In RUY, the alphabetical positions are 18, 21, and 25, which follow a forward progression of adding 3 and then 4. All other letter sets follow a uniform backward progression where each letter is obtained by subtracting 2 from the preceding letter's alphabetical position.

Explanation

The sequence follows a multiplication pattern with consecutive integers: 12 × 1 = 12 12 × 2 = 24 24 × 3 = 72 72 × 4 = 288 288 × 5 = 1440

Explanation

The pattern involves alternating multiplication and sub-operations across the series: 16 × 1 + 1 = 17 17 × 0.5 - 0.5 = 8 8 × 2.5 + 1 = 21 21 × 0.2 - 0.2 = 4 4 × 6.5 + 2 = 28 28 × 0.25 - 1 = 6 6 × 7 + 1 = 43 43 × 1.6 + 3 = 71.8

Explanation

The pattern behind the series is: 12 × 0.5 + 1 = 7 7 × 1 + 1 = 8 8 × 1.5 + 1 = 13 13 × 2 + 1 = 27 27 × 2.5 + 1 = 68.5

Explanation

The differences between consecutive terms double in magnitude with alternating signs: 72 + (1 × 7) = 79 79 - (2 × 7) = 65 65 + (4 × 7) = 93 93 - (8 × 7) = 37 37 + (16 × 7) = 149

Explanation

The progression follows the rule: 8 × 1 + 1 = 9 9 × 2 + 1 = 19 19 × 3 + 1 = 58 58 × 4 + 1 = 233 233 × 5 + 1 = 1166

Explanation

The age difference between two people is invariant with time, so the difference between P and Q after two years remains 3 years. Given the ratio of P to Q after two years is 5 : 4, the difference in ratio units is 5 - 4 = 1 unit. 1 unit = 3 years. Therefore, P's age after two years = 5 units = 5 × 3 = 15 years.

Explanation

Let A and B represent their respective incomes. Combined expenditure = 30% of (A + B) = 26400 A + B = 26400 / 0.30 = 88000 Since A's income is 20% more than B's, A = 1.2B. Substituting A into the total income equation: 1.2B + B = 88000 2.2B = 88000 B = 40000

Explanation

Simple Interest SI = (P × R × T) / 100. Since principal P and rate R are identical for both investments, the interest earned is directly proportional to time T. SI₁ / SI₂ = T / (T + 4) = 1 / 2 2T = T + 4 T = 4

Explanation

Using the work formula (M₁ × D₁) / W₁ = (M₂ × D₂) / W₂: Let total work W₁ = 1, so W₂ = 2/3. M₁ = 12, D₁ = 64, D₂ = 16. (12 × 64) / 1 = (M₂ × 16) / (2/3) 768 = 24 × M₂ M₂ = 768 / 24 = 32

Explanation

When a train crosses a stationary pole, the distance covered equals the length of the train. Distance = Speed × Time Length = 72 × 30 (in units of km/h × seconds) To cross the same pole at 54 km/h: 54 × T₂ = 72 × 30 T₂ = (72 × 30) / 54 T₂ = (4 × 30) / 3 = 40 seconds

Explanation

Distance travelled is given by the formula Distance = Speed × Time. Downstream distance = 14 km/h × 6 h = 84 km. Upstream distance = 10 km/h × T h = 10T km. The problem states that the downstream distance is 44 km greater than the upstream distance. Setting up the equation: 84 - 10T = 44 10T = 84 - 44 10T = 40 T = 4 Thus, the value of T is 4 hours.

Explanation

Let the Cost Price (CP) of the article be x. Marked Price (MP) = CP + 50% of CP = 1.5x. Selling Price (SP) = MP - Discount = 1.5x - 50. Profit = SP - CP = (1.5x - 50) - x = 0.5x - 50. Given that profit = Rs. 50: 0.5x - 50 = 50 0.5x = 100 x = 200 So, Cost Price = Rs. 200. Selling Price (SP) = Cost Price + Profit = 200 + 50 = 250 Rs.

Explanation

When investments are made for equal time periods, profit is shared in direct proportion to the capital invested. Profit ratio = Capital ratio Total profit = Rs. 6800, and A's profit = Rs. 3200. B's profit = 6800 - 3200 = Rs. 3600. Ratio of profit A : B = 3200 : 3600 = 8 : 9. Ratio of investment A : B = X : (X + 800). Equating the ratios: X / (X + 800) = 8 / 9 9X = 8X + 6400 X = 6400.

Explanation

When a mixture is removed, the remaining mixture maintains the same ratio of components, which is 3 : 1 for milk and water. Let the remaining quantity of milk be 3x and water be x. The difference between milk and water in the remaining mixture is given as 70 liters: 3x - x = 70 2x = 70 x = 35 liters. Remaining total mixture = 3x + x = 4x = 4 × 35 = 140 liters. Initial mixture = Remaining mixture + Taken out mixture = 140 + 20 = 160 liters.

Explanation

Area of a circle = πr² = 616 cm². (22/7) × r² = 616 r² = (616 × 7) / 22 = 196 r = 14 cm. Circumference of the circle = 2πr = 2 × (22/7) × 14 = 88 cm. Perimeter of rectangle = Circumference + 2 cm = 88 + 2 = 90 cm. Breadth of rectangle (b) = radius = 14 cm. Perimeter of rectangle = 2(l + b) = 90 cm l + 14 = 45 l = 31 cm.

Explanation

From the given table: Orders of item A received by R = 80. Orders of item B received by R = 100. Total orders of items A | B for company R = 80 + 100 = 180. Orders of item B received by Q = 70. Orders of item C received by Q = 90. Total orders of items B | C for company Q = 70 + 90 = 160. Difference = 180 - 160 = 20.

Explanation

Total orders for company R across items A, B, and C equal 80 + 100 + 30 = 210. Total orders for company Q across items A, B, and C equal 40 + 70 + 90 = 200. To find how much percent total orders of R are more than Q: Percentage increase = [(Total orders of R - Total orders of Q) / Total orders of Q] × 100 Percentage increase = [(210 - 200) / 200] × 100 = (10 / 200) × 100 = 5%.

Explanation

Total orders of item A and B received by company P = 80 + 60 = 140.

Total orders of item B and C received by company Q = 70 + 90 = 160.

Required ratio = 140 : 160 = 7 : 8.

Explanation

Orders of item B received by company Q = 70. Orders of item B received by company R = 100. Average number of orders of item B for Q and R = (70 + 100) / 2 = 170 / 2 = 85. Total orders of item A received by company P = 80. Required percentage = (Average orders / Item A orders of P) × 100 Required percentage = (85 / 80) × 100 = (17 / 16) × 100 = 106.25%. Converting 106.25% to a mixed fraction gives 106 ¼ %.

Explanation

Total orders of items A, B, and C received by company P are obtained by summing the orders of each item from the given table: Orders of item A received by P = 80 Orders of item B received by P = 60 Orders of item C received by P = 50 Total orders = 80 + 60 + 50 = 190.

Explanation

First, calculate 48% of 625: (48 / 100) × 625 = 48 × 6.25 = 300

Next, divide the result by 0.75: 300 / 0.75 = 300 / (3 / 4) = 300 × (4 / 3) = 400

Explanation

Evaluate the numerator and denominator: 4³ + 18² = 64 + 324 = 388 7² + 121 - 73 = 49 + 121 - 73 = 97

Divide the numerator by the denominator: 388 / 97 = 4

Explanation

Let the unknown value be x.

4ˣ × 2 = (16)² / ∜16

Evaluate the terms on the right-hand side: (16)² = 256 ∜16 = 2

Substituting these values into the right-hand side gives: (16)² / ∜16 = 256 / 2 = 128

Now, substitute this result back into the original equation: 4ˣ × 2 = 128 4ˣ = 128 / 2 4ˣ = 64

Since 64 can be expressed as a power of 4, 64 = 4³: 4ˣ = 4³ x = 3

Therefore, the value that replaces the question mark is 3.

Explanation

First, evaluate 8³: 8³ = 512

Set up the equation and solve for the unknown: 4 × (? + 120) = 512 ? + 120 = 512 / 4 = 128 ? = 128 - 120 = 8

Explanation

To find the value that replaces the question mark (?), let the unknown value be x.

The given equation is: x + 432 - 205 = 550

First, simplify the numerical terms on the left-hand side: 432 - 205 = 227

Substitute this back into the equation: x + 227 = 550

Isolate x by subtracting 227 from both sides: x = 550 - 227 = 323

Thus, the value that replaces the question mark is 323.

Explanation

Calculate the products and squares in the equation: 12 × 8 = 96 14² = 196

Substitute into the equation: 96 + ?² = 196 ?² = 196 - 96 = 100 ? = 10

Explanation

First, calculate 40% of 400: (40 / 100) × 400 = 160

Substitute this into the equation: 160 + (? / 100) × 300 = 250 160 + 3 × ? = 250 3 × ? = 250 - 160 = 90 ? = 30

Explanation

First, find the square root of 441: √441 = 21

Divide by 7: 21 / 7 = 3

Solve for the unknown: 3 = ? - 180 ? = 180 + 3 = 183

Explanation

Calculate the square roots on the left side: √576 = 24 √144 = 12 √729 = 27

Combine the terms: 24 - 12 + 27 = 39

Solve for the unknown: 39 = 36 + ? ? = 39 - 36 = 3

Explanation

Sum the numbers on the left side: 119 + 41 + 9 = 169

Take the square root to find the value: ?² = 169 ? = 13

Explanation

Convert the percentage into fractional form and solve for the unknown variable: 12% × (? + 100) = 18 (12 / 100) × (? + 100) = 18 ? + 100 = (18 × 100) / 12 ? + 100 = 150 ? = 150 - 100 ? = 50

Explanation

Simplify each component of the expression: ∛1331 = 11 √81 = 9

Substitute these values into the equation: (11 / 11) + 9 + ? = 27 1 + 9 + ? = 27 10 + ? = 27 ? = 27 - 10 ? = 17

Explanation

Evaluate the square root and exponent terms: √400 = 20 6² = 36

Substitute these values into the given equation: ?² + 20 = 36 ?² = 36 - 20 ?² = 16 ? = √16 ? = 4

Explanation

Convert the mixed numbers into improper fractions and isolate the unknown: 9 ⅓ + 7 ½ = ? + 5 ⅙ + 6 ⅓ 28/3 + 15/2 = ? + 31/6 + 19/3

Find a common denominator of 6 for both sides: (56/6 + 45/6) = ? + (31/6 + 38/6) 101/6 = ? + 69/6 ? = 101/6 - 69/6 ? = 32/6 ? = 16/3 ? = 5 ⅓

Explanation

Expressing all terms with the common base 3 using standard exponent rules:

9⁷ = (3²)⁷ = 3¹⁴ 27⁶ = (3³)⁶ = 3¹⁸

Substituting these into the given equation:

(3⁴ × 3¹⁴) ÷ 3¹⁸ = 3^?

Applying the laws of indices (aᵐ × aⁿ = aᵐ⁺ⁿ and aᵐ ÷ aⁿ = aᵐ⁻ⁿ):

3⁽4 + 14 - 18) = 3^? 3⁰ = 3^?

Equating the powers on both sides yields ? = 0.