IBPS Clerk Prelims 2018 Question Paper with Answers & Explanations

Explanation

The pattern in the number series involves multiplying the previous term by successive integers starting from 1 and adding 7.5 to obtain the next term:

5 × 1 + 7.5 = 12.5 12.5 × 2 + 7.5 = 32.5 32.5 × 3 + 7.5 = 105 105 × 4 + 7.5 = 427.5

Following the same pattern, the missing number is: 427.5 × 5 + 7.5 = 2137.5 + 7.5 = 2145

Explanation

The pattern followed in the series is to multiply the preceding number by 2 and subtract 2:

20 × 2 - 2 = 38 38 × 2 - 2 = 74 74 × 2 - 2 = 146 146 × 2 - 2 = 290

Following this rule, the missing number is calculated as: 290 × 2 - 2 = 580 - 2 = 578

Alternatively, the differences between consecutive terms double at each step (18, 36, 72, 144). The next difference is 144 × 2 = 288, giving 290 + 288 = 578.

Explanation

The pattern in the series is formed by adding successive powers of 8 (or cubes of 1, 2, 4, 8, 16):

12 + 8⁰ = 12 + 1 = 13 13 + 8¹ = 13 + 8 = 21 21 + 8² = 21 + 64 = 85 85 + 8³ = 85 + 512 = 597

Following this pattern, the next term is obtained by adding 8⁴ (4096):

597 + 8⁴ = 597 + 4096 = 4693

Explanation

The pattern in the number series is determined by analyzing the differences between consecutive terms:

800 − 400 = 400 880 − 800 = 80 896 − 880 = 16 899.2 − 896 = 3.2

Each successive difference is generated by dividing the preceding difference by 5:

400 ÷ 5 = 80 80 ÷ 5 = 16 16 ÷ 5 = 3.2 3.2 ÷ 5 = 0.64

Adding the next difference of 0.64 to the term 899.2 gives 899.2 + 0.64 = 899.84.

Explanation

The pattern in the series involves multiplying each number by successive factors increasing by 1 each time:

40 × 0.5 = 20 20 × 1.5 = 30 30 × 2.5 = 75 75 × 3.5 = 262.5

Following this pattern, the next multiplier is 4.5:

262.5 × 4.5 = 1181.25

Explanation

Distance = Serviced Speed × Serviced Time = 60 km/hr × 6 hours = 360 km.

When the car is not serviced, its speed is 50 km/hr.

Time required to cover the same distance = Distance / Unserviced Speed = 360 km / 50 km/hr = 7.2 hours.

Alternatively, since distance is constant, speed and time are inversely proportional: Time required = (Serviced Speed × Serviced Time) / Unserviced Speed = (60 × 6) / 50 = 360 / 50 = 7.2 hours.

Explanation

Let the present ages of P and Q be 8x and 5x respectively.

After 4 years, their ages become (8x + 4) and (5x + 4).

According to the given ratio: (8x + 4) / (5x + 4) = 4 / 3 3(8x + 4) = 4(5x + 4) 24x + 12 = 20x + 16 4x = 4 x = 1

Present age of P = 8 × 1 = 8 years Present age of Q = 5 × 1 = 5 years

P's age after 7 years from now = 8 + 7 = 15 years Q's age now = 5 years

Required ratio = 15 : 5 = 3 : 1

Explanation

Pia allocates her monthly salary as follows: 3/5th (60%) to her mother, 15% to tuition fees, and 18% towards a loan.

Total spent percentage = 60% + 15% + 18% = 93% Remaining percentage for shopping = 100% - 93% = 7%

Given that 7% of Pia's salary equals Rs. 2,100: Pia's monthly salary = (2,100 / 7) × 100 = Rs. 30,000

Since the ratio of Pia's salary to Som's salary is 5 : 4: Som's monthly salary = (30,000 / 5) × 4 = Rs. 24,000

Explanation

For a rectangle with perimeter 50 cm, 2(L + B) = 50, which simplifies to L + B = 25. Given that length exceeds breadth by 3 cm, L - B = 3. Solving these linear equations gives L = 14 cm and B = 11 cm.

The area of the rectangle is L × B = 14 × 11 = 154 cm².

Since the area of the circle equals the area of the rectangle, πr² = 154. Substituting π = 22/7: (22/7) × r² = 154 r² = (154 × 7) / 22 r² = 49 r = 7 cm

The diameter of the circle is 2 × r = 2 × 7 = 14 cm.

Explanation

Simple Interest is given by the formula SI = (P × R × T) / 100.

Rearranging the formula to find the rate of interest (R): R = (SI × 100) / (P × T)

Substituting Principal (P) = ₹28,500, Time (T) = 7 years, and Simple Interest (SI) = ₹23,940: R = (23940 × 100) / (28500 × 7) R = 23940 / (285 × 7) R = 23940 / 1995 R = 12% p.c.p.a.

Explanation

Simple Interest (SI) = (P × R × T) / 100

Interest earned from Scheme A = P × (10 / 100) × 2 = 0.20P Total amount received from Scheme A = P + 0.20P = 1.20P

This total amount of 1.20P is invested in Scheme B at 12% p.a. for 5 years. Interest earned from Scheme B = 1.20P × (12 / 100) × 5 = 0.72P

Difference between interests earned = Interest from Scheme B − Interest from Scheme A 0.72P − 0.20P = 0.52P

Given that the difference is Rs. 1300: 0.52P = 1300 P = 1300 / 0.52 = 2500

Explanation

Using the standard work-rate equivalence relation, (Pipes₁ × Time₁) / Work₁ = (Pipes₂ × Time₂) / Work₂.

Substituting the given values: (3 × 3) / 3 = (2 × 2) / W₂ 3 = 4 / W₂ W₂ = 4/3 buckets

Therefore, 2 pipes opened for 2 hours will fill 4/3 buckets.

Explanation

Desired Selling Price = Given Selling Price × (100 + Profit%) ÷ (100 - Loss%)

Substituting the given values: Desired Selling Price = 6,500 × (100 + 20) ÷ (100 - 20) = 6,500 × 120 ÷ 80 = 6,500 × 1.5 = 9,750

Explanation

In Jar A, out of 36 litres of mixture with milk to water ratio 5 : 4: Milk = 36 × (5/9) = 20 litres Water = 36 × (4/9) = 16 litres

When 20 litres from Jar B is poured into Jar A, the total mixture becomes 36 + 20 = 56 litres.

In the final 56-litre mixture, the milk to water ratio becomes 5 : 3: Final quantity of water = 56 × (3/8) = 21 litres

Quantity of water present in Jar B = Final water - Initial water in Jar A = 21 - 16 = 5 litres

Explanation

The time after which all three friends meet again at the starting point is the Least Common Multiple (LCM) of their individual lap completion times: 12, 18, and 20 seconds.

Prime factorization: 12 = 2² × 3 18 = 2 × 3² 20 = 2² × 5

LCM(12, 18, 20) = 2² × 3² × 5 = 180 seconds.

Converting seconds into minutes: 180 ÷ 60 = 3 minutes.

Explanation

Percentage of Science students in institute G = (Number of Science students in G / Total students in G) × 100

Total number of students studying in institute G = 225 (Art) + 206 (Commerce) + 182 (Science) + 138 (Engineering) + 89 (Management) = 840

Number of students studying Science in institute G = 182

Required percentage = (182 / 840) × 100 = (182 / 8.4) = 65 / 3 = 21⅔%

Explanation

Total number of students in Institute D = 165 + 138 + 245 + 66 + 36 = 650.

Number of students studying Management in Institute D = 36.

Percentage of Management students = (36 / 650) × 100 = 5.538%, which is approximately 5%.

Explanation

Total number of students studying Art in institutes A, B, and C = 125 + 96 + 144 = 365

Total number of students studying Commerce in institutes D, E, F, and G = 138 + 196 + 212 + 206 = 752

Required percentage = (365 / 752) × 100 = 48.54% ≈ 50%

Explanation

Required percentage = (Engineering students in C / Total Engineering students in all institutions) × 100

Total number of students studying Engineering across all seven institutions = 98 + 157 + 164 + 66 + 86 + 112 + 138 = 821

Engineering students in institute C = 164

Percentage = (164 / 821) × 100 = 19.98%

Rounding to the nearest integer yields 20%.

Explanation

The percentage of Commerce students for each institution is calculated using (Commerce Students ÷ Total Students) × 100:

Institution A: (187 ÷ 700) × 100 = 26.71% Institution B: (152 ÷ 750) × 100 = 20.27% Institution C: (235 ÷ 780) × 100 = 30.13% Institution D: (138 ÷ 650) × 100 = 21.23% Institution E: (196 ÷ 850) × 100 = 23.06% Institution F: (212 ÷ 800) × 100 = 26.50% Institution G: (206 ÷ 840) × 100 = 24.52%

The maximum percentage of Commerce students is in institution C.

Explanation

Simplify both sides of the equation using BODMAS rules:

Left Hand Side (LHS): 120% of (750 ÷ 25) - 16 = 120% of 30 - 16 = (1.2 × 30) - 16 = 36 - 16 = 20

Right Hand Side (RHS): ?% of (1240 ÷ 31) = ?% of 40 = (? ÷ 100) × 40 = 0.4 × ?

Equating LHS and RHS: 20 = 0.4 × ? ? = 20 ÷ 0.4 = 50

Explanation

To solve for the missing term x in the equation 2/15 - 1/4 = x - 2/3, rearrange the terms to isolate x:

x = 2/15 - 1/4 + 2/3

Find the least common multiple (LCM) of the denominators 15, 4, and 3, which is 60. Express each fraction with the common denominator 60:

2/15 = 8/60 1/4 = 15/60 2/3 = 40/60

Substitute these fractions into the equation:

x = (8 - 15 + 40) / 60 x = 33/60

Dividing the numerator and denominator by 3 simplifies the fraction to 11/20.

Explanation

1.5% of 4600 = (1.5 / 100) × 4600 = 1.5 × 46 = 69

2.8% of 2000 = (2.8 / 100) × 2000 = 2.8 × 20 = 56

Substituting these values into the given equation: ? = 69 + 56 - 109 ? = 125 - 109 = 16

Explanation

Applying the BODMAS rule, perform the division operation first: 312 ÷ 13 = 24

Next, add 452: 452 + 24 = 476

Now, substitute this value back into the equation: 476 = 34 × ?

Solving for the unknown variable: ? = 476 ÷ 34 = 14

Explanation

Since 4⁴ = 256, 256^(1/4) = 4. Dividing by the mixed number 1 3/5 = 8/5 gives 4 x 5/8 = 5/2. Then 5/2 - 3/5 = 25/10 - 6/10 = 19/10 = 1 9/10, which is option (c). This matches the paper's own worked solution and printed key.

Explanation

Simplify the given expression by cancelling out common factors from the numerator and the denominator:

Numerator = 512 × 5² × 3 Denominator = 45 × 32

Dividing 512 by 32 gives 16. Simplifying the remaining term (5² × 3) / 45: (25 × 3) / 45 = 75 / 45 = 5 / 3

Multiplying the simplified terms together: 16 × (5 / 3) = 80 / 3

Converting the improper fraction 80/3 into a mixed fraction: 80 ÷ 3 = 26 with a remainder of 2, which gives 26 ⅔.

Explanation

First, calculate the innermost square root: √(1024) = 32

Substitute this value into the expression under the main square root: √(36 × 18 × 32) = √(36 × 576)

Since √(36) = 6 and √(576) = 24: √(36 × 576) = 6 × 24 = 144

Now, equate this result to the given expression: 144 = ? × 3 ? = 144 ÷ 3 = 48

Explanation

Given the equation: 24 × (√1225) ÷ ? = 120

First, calculate the square root: √1225 = 35

Substitute this back into the equation: 24 × 35 ÷ ? = 120 840 ÷ ? = 120 ? = 840 ÷ 120 = 7

Explanation

Let x = 0.8. Since 0.4 = x/2, we have (0.4)³ = x³/8.

The given expression is [(0.8)³ - (0.4)³] / [(0.8)³ + (0.8)³].

Substituting x into the expression: [x³ - x³/8] / [2x³] = [(7/8)x³] / [2x³] = 7 / (8 × 2) = 7/16.

Alternatively, evaluating the numerical values directly: Numerator = 0.512 - 0.064 = 0.448 Denominator = 0.512 + 0.512 = 1.024 0.448 / 1.024 = 448 / 1024 = 7/16.

Explanation

First, calculate the value inside the bracket: 890.9 - 512.3 = 378.6

Next, divide this result by 126.2: 378.6 ÷ 126.2 = 3

Explanation

Simplifying the bracket left to right: 8 x 16 = 128, 128 / 256 = 0.5, 0.5 x 512 = 256. So 256 x (1/2^?) = 1, giving 2^? = 256 = 2⁸ and ? = 8, which is option (d).

Explanation

Simplifying the left side of the equation:

(1/5) × (11/13) × (39/55) × 1200

Since 11/55 = 1/5 and 39/13 = 3, the product of the fractions reduces to: (1/5) × (1/5) × 3 = 3/25

Multiplying by 1200: (3/25) × 1200 = 3 × 48 = 144

Now substituting into the main equation: 144 = 562 - ? ? = 562 - 144 = 418

Explanation

First, simplify the multiplication on the left-hand side: 2√5 × 3√5 = (2 × 3) × (√5 × √5) = 6 × 5 = 30

Substitute this back into the equation: 59 - 30 = 72 - ? 29 = 72 - ?

Solving for the unknown value: ? = 72 - 29 = 43

Explanation

First, evaluate the square roots in the numerator: √6400 = 80 √625 = 25

Subtract the values to get the numerator: 80 - 25 = 55

Now divide by 11: 55 ÷ 11 = 5

The simplified value of the given expression is 5.

Explanation

2925 / 9 = 325. So 1472 / ? = 965 - 325 = 640, giving ? = 1472 / 640 = 2.3, which is option (a).

Explanation

Combining the statements using the common element K gives the relationship paths between the variables:

For conclusion 1, the path connecting R and E is R < K > I ≥ T ≥ E. Because the inequality signs change direction at K (R < K and K > I), no definite relationship can be established between R and E. Thus, conclusion 1 does not follow.

For conclusion 2, the path connecting O and T is O < R < K > I ≥ T. Here again, the opposite inequality signs at K prevent any definite comparison between O and T. Thus, conclusion 2 does not follow.

Explanation

Given statement: C < L < O = U = D ≥ S > Y

Conclusion I: O > Y From the statement, O = D ≥ S > Y. Since O ≥ S and S > Y, it directly follows that O > Y. Thus, Conclusion I is true.

Conclusion II: C < D From the statement, C < L < O = D. Since C < O and O = D, it directly follows that C < D. Thus, Conclusion II is true.

Therefore, both conclusions I and II follow.

Explanation

Combining the given inequality chain K ≥ L > M ≥ N, the presence of the strict inequality symbol between L and M establishes that K is strictly greater than N, which means N < K.

For Conclusion I (N ≤ K), the equality condition N = K is invalid because N is strictly less than K. Thus, Conclusion I does not follow.

For Conclusion II (N < K), the statement directly matches the derived relationship N < K, so Conclusion II definitely follows.

Explanation

From the given statement Z ≥ Y = W, the direct relation between Z and W is Z ≥ W, which can be rewritten as W ≤ Z. This inequality means that either W < Z or W = Z. Since Conclusion I states W < Z and Conclusion II states W = Z, together they form a complete complementary pair covering both possibilities. Therefore, either conclusion I or II follows.

Explanation

To evaluate Conclusion I, trace the path from B to L: B > A > S < I > C > L. The presence of opposing inequality symbols (< and >) between S and I breaks the continuous flow of relationship, making it impossible to establish any definite comparison between B and L. Conclusion I does not follow.

To evaluate Conclusion II, trace the path from A to Y: A > S < I > C > L > Y. Here again, the opposing inequality symbols between S and I break the chain of comparison, meaning no definite relationship can be established between A and Y. Conclusion II does not follow.

Since both pathways contain conflicting inequality signs, neither conclusion logically follows from the given statement.

Explanation

Fixing W at position 1 and moving in a counter-clockwise direction (to the right) around the circular table:

Since M sits third to the right of W, M is at position 4. L is an immediate neighbour of W at position 2. To have exactly two people between L and X, X must be placed at position 5 (with positions 3 and 4 between them).

Since Y sits to the immediate right of N, and only one person sits between K and Y, N is placed at position 7, Y at position 8, and K at position 6. The remaining vacant position 3 is occupied by Z.

This satisfies all conditions: K (at position 6) is not adjacent to W or Z, and W is not adjacent to Z.

Tracing the arrangement clockwise from W: W (1), L (2), Z (3), M (4), X (5), K (6), N (7), Y (8).

Positioned at 4, M sits directly between Z at position 3 and X at position 5. Therefore, Z and X are the immediate neighbours of M.

Explanation

Based on the given clues, the eight people sit around the circular table facing the centre in the following counter-clockwise (right) order: W, L, Z, M, X, K, N, Y.

In the given series, the first element of the 4th pair (XM) is the second element of the 1st pair (NX). Following this pattern, the first element of the 5th pair must be the second element of the 2nd pair (ZK), which is K.

In the pair ZK, K sits third to the right of Z. Applying the same positional relation to K, the person sitting third to the right of K is W. Therefore, the missing term in the series is KW.

Explanation

Assign positions 1 to 8 around the circle in a clockwise direction, with all people facing the centre:

Place W at position 1. Since M sits third to the right of W, M is at position 4. L sits adjacent to W at position 2. Since two people sit between L and X, X is placed at position 5. Z is placed at position 3, K at position 6, N at position 7, and Y at position 8 (immediate right of N). This satisfies all conditions: exactly one person (N) between K and Y, W and Z are not adjacent, and K is adjacent to neither W nor Z.

Position 4 is occupied by M. Moving two seats to the right (clockwise) gives position 6, where K is seated.

Explanation

By placing the eight people around the circular table facing the centre in clockwise order:

Place W at position 1. Since M sits third to the right of W, M is at position 4. L is an immediate neighbour of W at position 2. As two people sit between L and X, X sits at position 5. Given that Y sits to the immediate right of N and one person sits between K and Y, N is at position 7, Y is at position 8, and K is at position 6. Position 3 is filled by Z, which satisfies all remaining conditions (K is not adjacent to W or Z, and W is not adjacent to Z).

In this complete clockwise seating arrangement (W, L, Z, M, X, K, N, Y), moving clockwise (to the right) from X at position 5, K is first to the right and N is second to the right. Thus, N sits second to the right of X.

Explanation

To determine the seating arrangement around the circular table of 8 positions in clockwise order:

Placing W at position 1, M sits third to the right of W at position 4. L is an immediate neighbour of W at position 2. Since two people sit between L and X, X is placed at position 5.

To satisfy the condition that Y sits to the immediate right of N and one person sits between K and Y, N and Y are placed at positions 7 and 8 respectively, placing K at position 6. The remaining person Z takes position 3, which satisfies the condition that Z is not a neighbour of W or K.

The final clockwise arrangement is W (1), L (2), Z (3), M (4), X (5), K (6), N (7), Y (8).

Since W is at position 1 and X is at position 5, they sit directly opposite each other. Counting from either direction, there are exactly three people sitting between X and W.

Explanation

In the given arrangement, the valid groups follow a specific positional rule relative to their first element: the second element is 2 positions to its right, and the third element is 1 position to its left (+2, -1).

In H@1, @ is located 2 positions to the left of H, and 1 is located 1 position to its right (-2, +1). Because it reverses the positional direction followed by the other groups, H@1 does not belong to the group.

Explanation

In the given arrangement, each term follows a specific positional pattern. The term DJK uses elements at position numbers 5, 7, and 8. The term 2T4 uses elements at position numbers 10, 12, and 13. The term %F3 uses elements at position numbers 15, 17, and 18.

Within each term, the pattern picks the first element, skips one position to pick the second (+2 positions), and takes the immediately following element (+1 position). The starting position of each term increases by 5 (5, 10, 15).

Therefore, the next term starts at position 20: The first element is at position 20, which is 8. The second element is at position 22 (20 + 2), which is N. The third element is at position 23 (22 + 1), which is V.

This completes the series with 8 NV.

Explanation

The pattern required is [Vowel] [Number] [Symbol].

Identify all vowels in the arrangement: I, E, A, U. Check the positions following these vowels: Vowel E is followed by number 2, but 2 is followed by P (a letter, not a symbol). Vowel U is followed by number 8, but 8 is followed by S (a letter, not a symbol). Vowel I is followed by D (a letter). Vowel A is followed by F (a letter).

None of the numbers satisfy the full pattern. Thus, the total count is zero.

Explanation

To find consonants preceded by a number and not followed by a consonant, we look for the pattern: Number → Consonant → Non-consonant (Symbol, Vowel, or Number).

Scanning the given arrangement for Number → Consonant combinations: W in 4 W % is preceded by number 4 and followed by symbol %. Q in 6 Q @ is preceded by number 6 and followed by symbol @. H in 7 H 1 is preceded by number 7 and followed by number 1.

Other Number → Consonant combinations like 2 P T and 8 S N fail the condition because they are followed by consonants. Thus, there are exactly 3 such consonants (W, Q, and H).

Explanation

When finding an element relative to a reference position from the same end, subtract the positions: (12 - 4) = 8th element from the right end.

Counting from the rightmost end of the given arrangement: 1st element = Z 2nd element = * 3rd element = 9 4th element = B 5th element = © 6th element = 1 7th element = H 8th element = 7

Thus, the 8th element from the right end is 7.

Explanation

Positioning the eight friends in order from left to right (positions 1 to 8):

M sits at position 4 facing South, leaving exactly three people to its right (positions 1, 2, and 3). E sits second to the left of M at position 6. O sits at position 2 facing North, placing F third to its right at position 5.

Since C faces South, L and F both face North. Both immediate neighbours of O (positions 1 and 3) face South, so L cannot be at position 1. Equal spacing of D and L from M places L at position 7 (facing North) and D at position 1 (facing South). N is at position 3 facing South, placing D second to its right.

Since the immediate neighbours of F (at position 5) face opposite directions and M (at position 4) faces South, E (at position 6) must face North. Therefore, both O and E face North, meaning they face the same direction.

Explanation

Assigning positions 1 to 8 from left to right for the eight friends:

M sits at position 4 facing South, so his right is towards position 1 (3 seats: 1, 2, 3). E sits second to the left of M at position 6. O sits at position 2 facing North. F sits third to the right of O at position 5. Immediate neighbours of O (positions 1 and 3) face South. D is placed at position 1 and N at position 3 (N facing South makes position 1 second to his right). L is at position 7 and C is at position 8.

Since O is at position 2 facing North, his left side is towards position 1. Position 1 is occupied by D, so exactly one person sits to the left of O.

Explanation

From the linear seating arrangement of positions 1 to 8:

Position 1: D faces South Position 2: O faces North Position 3: N faces South Position 4: M faces South Position 5: F faces North Position 6: E faces North Position 7: L faces North Position 8: C faces South

Among the friends listed, M faces South.

Explanation

Arranging the eight friends from left to right in positions 1 to 8:

Since three people sit to the right of M and E sits second to its left, M faces south at position 4 and E is at position 6. O is not at the extreme ends or adjacent to M, placing O at position 2, facing north. F sits third to the right of O at position 5.

Since as many people sit between M and D as between M and L, D and L occupy positions 1 and 7 respectively. N sits at position 3, facing south, placing D second to its right at position 1. The remaining position 8 is occupied by C, who faces south.

Since L faces the direction opposite to C, L faces north at position 7. Facing north, second to the left of L is position 5, where F sits.

Explanation

Numbering the positions 1 to 8 from left to right:

Since three people sit to the right of M, M sits at position 4 facing south, making positions 1, 2, and 3 to M's right. E sits second to the left of M at position 6.

O cannot sit at the extreme ends or adjacent to M, and F sits third to the right of O. This places O at position 2 facing north and F at position 5. The immediate neighbours of O (positions 1 and 3) must face south.

Because the distance between M and D equals the distance between M and L, D and L occupy positions 1 and 7.

N at position 3 facing south places D second to the right of N at position 1. This leaves L at position 7, N at position 3, and C at position 8.

Therefore, C and D occupy the two extreme ends of the line.

Explanation

Given set of numbers: 972, 682, 189, 298, 751

The smallest number is 189 and the highest number is 972.

Add 1 to the smallest number: 189 + 1 = 190. Add 2 to the highest number: 972 + 2 = 974.

The second digit of the modified smallest number (190) is 9. The third digit of the modified highest number (974) is 4.

The difference between these digits is 9 - 4 = 5.

Explanation

Interchanging the first and last digits of each given number yields: 972 becomes 279 682 becomes 286 189 becomes 981 298 becomes 892 751 becomes 157

Arranging the newly formed numbers in descending order: 981 > 892 > 286 > 279 > 157.

The third highest value in this sequence is 286, which was obtained from the original number 682.

Explanation

Arranging the digits of each number in descending order yields:

972 becomes 972 682 becomes 862 189 becomes 981 298 becomes 982 751 becomes 751

Sorting these newly formed numbers in descending order gives: 1st highest: 982 (from 298) 2nd highest: 981 (from 189) 3rd highest: 972 (from 972) 4th highest: 862 (from 682) 5th highest: 751 (from 751)

The third highest number in the rearranged set is 972, which corresponds to the original number 972.

Explanation

Interchanging the second and third digits of each number gives: 972 becomes 927 682 becomes 628 189 becomes 198 298 becomes 289 751 becomes 715

From these new numbers: The smallest number is 198, so its first digit is 1. The highest number is 927, so its last digit is 7.

The required sum of the first digit of the smallest number and the last digit of the highest number is 1 + 7 = 8.

Explanation

The odd numbers in the given set are 189 and 751.

Adding 1 to the smaller odd number: 189 + 1 = 190. Subtracting 1 from the higher odd number: 751 − 1 = 750.

Between the two numbers so formed, 750 is the higher number and 190 is the lower number.

The second digit of the lower number (190) is 9. The second digit of the higher number (750) is 5.

Subtracting the second digit of the higher number from the second digit of the lower number gives 9 − 5 = 4.

Explanation

The seven instructors are divided among three institutes in a 3-2-2 distribution. The two 2-person institutes consist of one containing Biology and Chemistry instructors, and another containing G and the Mathematics instructor. Since D and F work together in Paramount along with English instructor B, Paramount contains three people. Thus, D and F must teach the remaining two subjects, which are Physics and History. Following the remaining constraints, D is identified as the Physics instructor.

Explanation

The biology teacher works in an institute with only the chemistry teacher. D and F work together, but not in Embibe, placing them in Paramount. Since F does not teach chemistry, F teaches biology and D teaches chemistry.

G works in Brilliant with the accountancy teacher. C works only with the mathematics teacher, which places C in Brilliant alongside G, who teaches mathematics. Consequently, C is the person in Brilliant who teaches accountancy. Thus, C works in Brilliant and teaches Accountancy.

Explanation

D and F work together in Paramount, which consists of only two people teaching Biology and Chemistry. Since F does not teach Chemistry, F teaches Biology and D teaches Chemistry.

G works in Brilliant with the person who teaches Accountancy. Since C works only with the one who teaches Mathematics, G teaches Mathematics and C teaches Accountancy in Brilliant.

minimum requirement of two people per institute leaves the remaining three people—A, B, and E—working together in Embibe. Since B teaches English and E works with the person who teaches History, A teaches History.

Explanation

To determine the distribution of people across the three institutes (Paramount, Brilliant, and Embibe), note that 7 people are distributed such that each institute has at least 2 people.

The clue stating that the Biology teacher works only with the Chemistry teacher establishes one institute with exactly 2 people. Similarly, C works only with the Mathematics teacher, establishing a second institute with exactly 2 people. Thus, the distribution of people across the three institutes must be 2, 2, and 3.

G teaches in Brilliant alongside the person who teaches Accountancy. Since C works only with the Mathematics teacher, C and the Mathematics teacher form one of the 2-person institutes. G and the Accountancy teacher must correspond to this 2-person group, where C teaches Accountancy and G teaches Mathematics in Brilliant. Therefore, exactly two people teach in Brilliant.

Explanation

D works with F, but not in Embibe, meaning both work in either Paramount or Brilliant. Since Brilliant contains only G (who teaches Mathematics) and C (who teaches Accountancy), D and F must work in Paramount. The problem states that the person who teaches Biology works in an institute with only the person who teaches Chemistry. Because D and F are the two members of Paramount and F does not teach Chemistry, D must teach Chemistry while F teaches Biology. Therefore, Paramount consists of F and D, who is the one who teaches Chemistry.

Explanation

Stockholm is the capital and largest city of Sweden. Situated on the south-central east coast of Sweden, the city spans across 14 islands where Lake Mälaren meets the Baltic Sea. It serves as the cultural, political, media, and economic center of the country, housing the Swedish national parliament (Riksdag), the central government, and the official residence of the Swedish monarch.

Explanation

Shiv Prakash Mishra (S. P. Misra) is a former Indian tennis player and Davis Cup captain. He represented India on the international circuit, playing in prestigious events including the U.S. Open. In recognition of his decades-long contribution to the sport as a player and coach, the Ministry of Youth Affairs and Sports conferred upon him the Dhyan Chand Award for Lifetime Achievement in Sports and Games in 2015.

Explanation

India and Nepal signed a Memorandum of Understanding for the construction of the 69 km Motihari-Amlekhgunj petroleum pipeline, connecting Motihari in Bihar, India to Amlekhgunj in Nepal. It is South Asia's first transnational petroleum product pipeline, constructed by Indian Oil Corporation Limited in collaboration with Nepal Oil Corporation. The pipeline ensures a seamless, cost-effective, continuous, and eco-friendly supply of petroleum products such as diesel and kerosene to Nepal, significantly reducing reliance on tanker trucks and lowering transportation expenses.

Explanation

The original digits in the number 79246358 are 7, 9, 2, 4, 6, 3, 5, and 8.

Arranging these digits in descending order from left to right yields: 9, 8, 7, 6, 5, 4, 3, 2

In this new arrangement: The digit second from the left is 8. The digit third from the right is 4.

The difference between these two digits is 8 - 4 = 4.

Explanation

Assigning the alphabetical position values to the letters of the word REGIONAL: R = 18, E = 5, G = 7, I = 9, O = 15, N = 14, A = 1, L = 12.

A pair has as many letters between them in the word as in the alphabetical series if the absolute difference in their positions in the word equals the absolute difference in their alphabetical values:

G (word position 3) and L (word position 8): Position difference = 8 - 3 = 5. Alphabetical difference = 12 - 7 = 5. O (word position 5) and N (word position 6): Position difference = 6 - 5 = 1. Alphabetical difference = 15 - 14 = 1. O (word position 5) and L (word position 8): Position difference = 8 - 5 = 3. Alphabetical difference = 15 - 12 = 3. N (word position 6) and L (word position 8): Position difference = 8 - 6 = 2. Alphabetical difference = 14 - 12 = 2.

Since there are 4 valid pairs (G-L, O-N, O-L, and N-L), the total count is four, which is more than three.

Explanation

According to the story, the king offered half of his kingdom to anyone who could capture the elephant, and the tortoise voluntarily accepted the challenge to win this reward. Statement A is incorrect because the tortoise was not forced by the villagers. Statement B is incorrect because he had no intention of proving anything about his family. Statement C is incorrect because the reward offered was half the kingdom, not the entire kingdom. Since none of the statements A, B, or C are true according to the text, none of these is the correct choice.

Explanation

The phrase 'in vain' means without success. The source paper's printed options do not include an option literally meaning 'were unsuccessful'; its printed answer key marks option (e). The answer is recorded as printed in the source.

Explanation

The story focuses on how a tortoise uses intelligence, wit, and strategy to outsmart a massive elephant where all the king's hunters had failed. By digging a concealed trap and using clever flattery to trick the elephant into walking into it, the tortoise achieves a seemingly impossible task. Since the narrative highlights the resourcefulness and cunning tactics of the tortoise as its central theme, "The Clever Tortoise" serves as the most appropriate title for the story.

Explanation

In the context of the story, the word excited describes the elephant feeling enthusiastic, eager, and filled with anticipation upon hearing that he could become king. The direct opposite of feeling excited or enthusiastic is being bored, which denotes a state of feeling uninterested, uninspired, or lacking enthusiasm. Thus, bored provides the exact antonym for excited as used in the passage.

Explanation

In the story, the king desired to capture an elephant and offered a reward to anyone who could do so. The tortoise promised the king that he would deliver the elephant within forty-eight hours. By digging a concealed pit along the path to the village and cleverly coaxing the elephant into falling into it, the tortoise successfully captured the animal well within the specified timeframe, fulfilling his promise to the king by delivering what he desired.

Explanation

According to the story, when the tortoise suggested that the elephant should be king, the elephant had never considered the idea before. However, the tortoise convinced him by stating that the villagers had decided to crown the largest animal as their king and were eagerly expecting his arrival. Excited by the belief that the villagers truly wanted him as their king, the elephant willingly followed the tortoise's advice and walked toward the village.

Explanation

In the context of the story, after the king expresses doubt about the tortoise's ability to capture the elephant, the tortoise insists on his capability. To insist means to state or maintain a position firmly and forcefully, especially when questioned or opposed. In this scenario, it reflects the act of reiterating or repeating one's claim to assure the listener of one's stance.

Explanation

In the given story, praising means expressing admiration, approval, or high regard for someone through complimentary words or songs. The direct opposite in meaning to praising is insulting, which signifies expressing disrespect, abuse, or disparaging remarks toward someone.

Explanation

The elephant displayed foolishness by easily succumbing to the tortoise's false flattery and unrealistic promises of being crowned king by the villagers. Without questioning the tortoise's motives or verifying the safety of the path ahead, he blindly followed the tortoise and fell straight into the hidden pit trap. His extreme gullibility and complete lack of reasoning highlight his foolish nature.

Explanation

In the context of the story, the word "adorned" refers to the act of embellishing or decorating someone or something with ornaments to make them look attractive or regal. The tortoise placed colourful beads on the elephant to prepare him for a fake coronation, which directly means he decorated the elephant. Thus, decorated is the exact synonym for adorned in this passage.

Explanation

In this context, consideration is an uncountable noun meaning regard or thoughtfulness for the feelings of others. Using the plural form considerations is grammatically incorrect because considerations refers to specific factors or reasons taken into account during decision-making. The correct phrasing is have no consideration for others.

Explanation

The given sentence is grammatically correct and free of any errors. The correlative conjunction pair "neither...nor" is used correctly to connect two parallel noun phrases: "an interesting plot" and "any interesting character". The subject "novel" correctly agrees with the singular verb "has", and the determiners "an" and "any" are appropriately placed before their respective noun phrases. Therefore, the sentence maintains perfect subject-verb agreement, proper article usage, and precise parallel structure throughout.

Explanation

The sentence sets up a hypothetical present or future condition using the past subjunctive verb form in the conditional clause. To maintain proper tense agreement in a standard second conditional structure, the main clause must use would choose rather than the perfect conditional form would have chosen.

Explanation

The perfect participle clause opening the sentence correctly modifies the subject that follows, and the main clause properly uses the present simple tense to express a general current truth. The entire sentence is grammatically correct.

Explanation

The main clause correctly uses the past simple tense, connected by a causal conjunction to a past tense necessity clause, which is properly followed by a passive infinitive specifying a relative future event. The sentence contains no grammatical errors.

Explanation

The plural subject correctly agrees with the present simple verb, and the temporal clause properly employs a standard catenative construction with a to-infinitive. Ignoring minor hyphenation preferences, the sentence is free of grammatical errors.

Explanation

A reflexive pronoun referring back to the singular male subject is required after the preposition. The expression login self is grammatically invalid and represents an error for the reflexive pronoun himself.

Explanation

The sentence reads 'Cows, goats and such domestic animals together is called stock.' The plural subject 'animals' requires 'are called', not 'is called', so the subject-verb agreement error lies in part (c).

Explanation

The preposition on is incorrectly used with parts of the day. The correct preposition to use with general time periods such as mornings, afternoons, or evenings is in. Therefore, the phrase should be work in the evenings rather than work on the evenings.

Explanation

The noun information is an uncountable mass noun in English and does not take a plural form with an s. Using informations is grammatically incorrect. The correct usage is a lot of information or pieces of information.

Explanation

In English, scale of operations is a standard collocation used to describe the magnitude, extent, or scope of activities being performed within an organization or process.

Explanation

The preposition "as" is used to indicate the role, capacity, or function that someone or something performs. In this sentence, it correctly functions to specify that the person appeared on stage in the role or capacity of a narrator.

Explanation

The word applications refers to formal written requests or candidate profiles submitted to apply for employment or official registration. In the context of applying or registering for a job, individuals are required to complete and submit job applications. Furthermore, the term also denotes practical uses or real-world implementations, making it contextually appropriate for statements concerning registration requirements and functional utility.

Explanation

"As a last resort" is an established English idiom meaning a final course of action taken when all other options or methods have failed. In the context of the sentence, it accurately describes accepting the terms and conditions unwillingly as a final measure after exhausting every other alternative.

Explanation

The phrase "even though" functions as a subordinating conjunction that indicates concession or contrast, meaning "despite the fact that." In this context, it correctly establishes the contrast between the book not drawing directly from political characters and the undeniable presence of coincidences.

Explanation

The context describes the growing doubt and curiosity among the public regarding the repeated delays in the construction project. The verb "wonder" correctly fits the grammatical structure following "began to" and expresses the act of pondering or asking oneself a question, which directly aligns with the inquiry that follows in the text ("what's taking so long?").

Explanation

The noun complexity correctly fits blank 2 as it refers to the quality of being intricate, complicated, and difficult. The passage elaboration immediately following the blank describes 10,000 workers attempting one of the most difficult construction projects ever in a densely populated city, which directly illustrates the immense scale and complicated nature—the sheer complexity—of the project.

Explanation

The passage details the various challenges that contributed to the delays in constructing One World Trade Centre. After establishing the physical complexity and scale of the project, such as employing 10,000 workers in a densely populated city, the text introduces an additional supporting detail regarding the escalating costs and initial budget estimates. The word "moreover" serves as an additive transition, perfectly linking the logistical difficulties to the financial obstacles by introducing a further point that reinforces the central idea.

Explanation

The context describes difficult working conditions such as extreme summer heat affecting steel beams and a hurricane hitting the construction site. These represent severe obstacles and hardships encountered during the construction of One World Trade Centre. The word challenges accurately categorizes these environmental impediments alongside the earlier issues of mounting delays and soaring costs.

Explanation

In the context of describing severe weather disruptions during the construction of One World Trade Center, the noun phrase "a hurricane" acts as the subject performing an action upon "the construction site." The past-tense verb "flooded" fits both grammatically and logically, referring to the massive water inundation caused when a hurricane hits a low-lying building area, thereby adding to the physical challenges and construction delays described in the passage.