SSC CGL Tier 1 2024 General Intelligence & Reasoning Questions with Solutions

Explanation

The logic followed in the given sets is that the second number is the product of the first number and twice the third number. This relationship can be expressed by the formula n₁ × (n₃ × 2) = n₂.

In the first set (23, 230, 5), the calculation is 23 × (5 × 2) = 23 × 10 = 230. In the second set (17, 272, 8), the calculation is 17 × (8 × 2) = 17 × 16 = 272.

Applying this same rule to the set in option d, we take the first number 19 and the third number 8. The operation 19 × (8 × 2) results in 19 × 16. Multiplying these values together gives 304, which is exactly the second number provided in the set (19, 304, 8).

Explanation

The relationship followed in the given pairs is determined by the formula y = (x × 3) + 16, where x is the first number and y is the second number.

For the pair 17:67: 17 × 3 = 51 51 + 16 = 67

For the pair 21:79: 21 × 3 = 63 63 + 16 = 79

Applying this same mathematical logic to the numbers in option b: 34 × 3 = 102 102 + 16 = 118

The calculated value aligns with the second number of the pair (34, 118).

Explanation

The given series follows a pattern of subtracting consecutive prime numbers in descending order. By calculating the differences between successive terms, we find:

1225 - 1184 = 41 1184 - 1147 = 37 1147 - 1116 = 31 1116 - 1087 = 29

The values being subtracted are the prime numbers 41, 37, 31, and 29. The next prime number in this descending sequence after 29 is 23. To find the missing number, we subtract 23 from the last given term:

1087 - 23 = 1064

Explanation

The coding logic follows a pattern where each letter of the word is shifted back by 2 positions in the alphabetical order and then rearranged according to a specific sequence. The mapping is as follows: First letter of code = Third letter of word - 2 Second letter of code = First letter of word - 2 Third letter of code = Second letter of word - 2

Applying this to RUG: G (7) - 2 = E (5) R (18) - 2 = P (16) U (21) - 2 = S (19) The code is EPS.

Applying this to SIT: T (20) - 2 = R (18) S (19) - 2 = Q (17) I (9) - 2 = G (7) The code is RQG.

Applying the same pattern to COP: P (16) - 2 = N (14) C (3) - 2 = A (1) O (15) - 2 = M (13) The code is NAM.

Explanation

The relationship followed in the given sets is that the middle number is twice the sum of the first and the third numbers. The logic is defined by the formula n₂ = 2 × (n₁ + n₃).

In the first given set (3, 20, 7), the operation is 2 × (3 + 7) = 2 × 10 = 20. In the second given set (5, 26, 8), the operation is 2 × (5 + 8) = 2 × 13 = 26.

Following this same logic for the set in option c, which is (8, 28, 6), the calculation is 2 × (8 + 6) = 2 × 14 = 28. This matches the middle term of the set.

Explanation

To find the code for the word she, we compare the given phrases to isolate the digits through elimination. Comparing she is girl (7 3 9) with he is boy (9 6 5), the common word is is and the common digit is 9, which means is = 9. Next, comparing she is girl (7 3 9) with girl is tall (9 3 8), the common words are is and girl, and the common digits are 9 and 3. Given that is = 9, the digit for girl must be 3. In the first phrase she is girl, the codes are 7, 3, and 9. Since we have determined that is = 9 and girl = 3, the remaining digit 7 must correspond to the word she.

Explanation

The series follows a mathematical pattern where each subsequent term is derived from the previous term using the formula Tₙ₊₁ = (Tₙ)/(2) + 2ⁿ, where n represents the position of the operation in the sequence.

The first transition from 300 to 152 is calculated as 300 ÷ 2 + 2¹ = 150 + 2 = 152. The second transition from 152 to 80 is calculated as 152 ÷ 2 + 2² = 76 + 4 = 80. The third transition from 80 to 48 is calculated as 80 ÷ 2 + 2³ = 40 + 8 = 48. The fourth transition from 48 to 40 is calculated as 48 ÷ 2 + 2⁴ = 24 + 16 = 40. The fifth transition from 40 to 52 is calculated as 40 ÷ 2 + 2⁵ = 20 + 32 = 52. To find the missing number following 52, the same logic is applied using the next power of 2, which is 2⁶: 52 ÷ 2 + 2⁶ = 26 + 64 = 90.

Explanation

The given series follows a consistent pattern where each letter in a cluster is replaced by its immediate preceding letter in the English alphabetical order to form the next cluster. Analyzing the first letters of the clusters, the sequence is W → V → U → T, which follows a -1 pattern; therefore, the next letter is T - 1 = S. Examining the second letters, the sequence is I → H → G → F, also following a -1 pattern, which results in F - 1 = E. Looking at the third letters, the sequence is X → W → V → U, following the same -1 pattern, leading to U - 1 = T. Combining these derived letters, the next cluster in the series is SET.

Explanation

The relationship in the first pair is based on a substance and its defining taste characteristic, as sugar is fundamentally sweet. Following the same logic, a habanero is a specific variety of chili pepper known globally for its high concentration of capsaicin, which results in an intense spicy or pungent flavor profile.

Explanation

The pattern followed in the given sets is that the second number is the product of the first number and the third number. Mathematically, for a set (a, b, c), the relationship is a × c = b.

In the first set (5, 80, 16), the calculation is 5 × 16 = 80. In the second set (18, 108, 6), the calculation is 18 × 6 = 108.

Following this logic, the set (13, 91, 7) is correct because 13 × 7 = 91.

Explanation

In the expression P x Q + R - S x A, the relationships are established as follows: P x Q indicates that P is the wife of Q. Q + R states that Q is the mother of R. R - S identifies R as the brother of S, which means R and S are siblings and Q is their parent. S x A defines S as the wife of A, which confirms that S is female. Since P and Q are a married couple and Q is the parent of S, S is the daughter of P.

Explanation

The letter series is formed by repeating the 6-letter block XYZKXK with slight variations and an insertion. By placing the letters from option b) XYKZK into the blanks, we obtain the following complete sequence:

XYZKXK | XYXKXK | XYZKXK | X | XYZKXK | XY

The structure of the series can be broken down as follows:

Block 1 (Positions 1-6): XYZKXK (Blank 1 = X) Block 2 (Positions 7-12): XYXKXK — Here, the third letter Z is replaced by X (Blank 2 = Y, Blank 3 = K). Block 3 (Positions 13-18): XYZKXK (Blank 4 = Z) Separator (Position 19): An extra letter X is inserted. Block 4 (Positions 20-25): XYZKXK (Blank 5 = K) Block 5 (Positions 26-27): XY (The start of the next block)

Placing the letters from option b) into the respective blank positions (1ˢᵗ, 8ᵗʰ, 12ᵗʰ, 15ᵗʰ, and 23ʳᵈ) perfectly maintains this pattern.

Explanation

Based on the given statements, we can establish the relationships between the sets of fruits using set theory or Venn diagrams. Let P represent pineapples, O represent oranges, B represent bananas, and PL represent plums.

The statement that all oranges are bananas (O ⊆ B) and all bananas are plums (B ⊆ PL) implies a transitive relationship where all oranges are plums (O ⊆ PL). This directly validates Conclusion II.

The statement that some pineapples are oranges (P ∩ O ≠ ∅) means there is at least one element that is both a pineapple and an orange. Since all oranges are plums (O ⊆ PL), any pineapple that is an orange must also be a plum. This ensures that some pineapples are plums (P ∩ PL ≠ ∅), which validates Conclusion I.

Regarding Conclusion III, the fact that some pineapples are oranges and all oranges are bananas necessitates that some pineapples are bananas (P ∩ B ≠ ∅). This contradicts the claim that no pineapple is a banana. Therefore, only conclusions I and II are logically sound.

Explanation

According to the instructions, the operators are interchanged as follows: × becomes ÷, - becomes +, ÷ becomes ×, and + becomes -.

Substituting these changes into the given expression 1064 × 2 - 653 ÷ 2 + 89, we get: 1064 ÷ 2 + 653 × 2 - 89

Applying the BODMAS rule, we perform division and multiplication first: 1064 ÷ 2 = 532 653 × 2 = 1306

Substituting these values back into the expression: 532 + 1306 - 89

Next, perform the addition: 532 + 1306 = 1838

Finally, perform the subtraction: 1838 - 89 = 1749

Explanation

The relationship between the numbers in the given sets is determined by the formula z = (x × y) - 5, where the third number is obtained by subtracting 5 from the product of the first two numbers. When this rule is applied to the options, we see that 16 × 9 - 5 = 144 - 5 = 139 in option a, 12 × 7 - 5 = 84 - 5 = 79 in option c, and 17 × 5 - 5 = 85 - 5 = 80 in option d. Option b is the odd one out because the third number is exactly the product of the first two numbers (25 × 7 = 175) and does not follow the subtraction rule established by the other sets.

Explanation

The logic followed in the given pairs is that the second number is obtained by multiplying the first number by 5 and then adding 1 to the result. This relationship can be expressed by the formula y = (x × 5) + 1, where x is the input number and y is the related number.

For the first pair, applying the formula gives 51 × 5 + 1 = 255 + 1 = 256.

For the second pair, applying the formula gives 53 × 5 + 1 = 265 + 1 = 266.

Following the same mathematical logic for the target number 55, the calculation is 55 × 5 + 1 = 275 + 1 = 276. This operation uses the whole number as required and does not involve digit manipulation.

Explanation

The coding pattern follows an alternating sequence of shifting the letters by -1 and +1 according to their positions in the English alphabet. For the given words TABU and TANK, the first letter shifts back by one (T → S), the second shifts forward by one (A → B), the third shifts back by one (B → A and N → M), and the fourth shifts forward by one (U → V and K → L).

Applying this logic to the word TAIL: The first letter T shifts back by 1 to become S. The second letter A shifts forward by 1 to become B. The third letter I shifts back by 1 to become H. The fourth letter L shifts forward by 1 to become M.

The resulting code is SBHM.

Explanation

The original positions of the letters in the word MENTOR are M at position 1, E at position 2, N at position 3, T at position 4, O at position 5, and R at position 6. To determine which letters remain unchanged, we arrange these letters in English alphabetical order. The alphabetical sequence of the letters in the word is E, M, N, O, R, and T. By placing these in order, E moves to position 1, M to position 2, N stays at position 3, O moves to position 4, R moves to position 5, and T moves to position 6. Comparing the original word MENTOR with the sorted sequence EMNORT shows that only the letter N remains in the third position. Therefore, the position of only one letter is unchanged.

Explanation

To find the value of the expression 37 ÷ 56 - 7 × 2 + 6, we apply the symbol interchanges as specified. In such logical reasoning problems, the "interchange" rules typically map the operators in the equation to their new counterparts to ensure a valid integer result.

Following the logic where ÷ and - are interchanged, and × and + are interchanged, we transform the operators as follows: ÷ becomes -

• becomes ÷ × becomes +

• becomes ×

Substituting these into the original equation: Original: 37 ÷ 56 - 7 × 2 + 6 Modified: 37 - 56 ÷ 7 + 2 × 6

Now, solve the modified equation using the BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) rule: Division: 56 ÷ 7 = 8 The equation becomes: 37 - 8 + 2 × 6 Multiplication: 2 × 6 = 12 The equation becomes: 37 - 8 + 12 Subtraction and Addition: 37 - 8 = 29, and 29 + 12 = 41

The final result is 41.

Explanation

To find the code for the letter V, we compare the letters and digits of the two given words. The word DRIVE is coded as 62749, and the word RIDES is coded as 76284. Both words share the letters D, R, I, and E. Consequently, they share the digits 6, 2, 7, and 4 in their respective codes.

The letter V is present in DRIVE but not in RIDES. By looking at the codes, the digit 9 appears in the code for DRIVE (62749) but is absent from the code for RIDES (76284). Since 9 is the only digit unique to the DRIVE code and V is the only letter unique to the word DRIVE, it follows that V is coded as 9.

Explanation

The word pair Close - open consists of antonyms, where the two words have opposite meanings. In contrast, the other three word pairs are composed of synonyms, which are words with identical or very similar meanings. Specifically, tired and exhausted, loud and noisy, and honest and truthful all represent the same conceptual state or quality with varying degrees of intensity or nuance. Because option c) follows an opposite-based relationship rather than a similarity-based one, it does not belong to the group.

Explanation

The pattern observed in the given letter-cluster pairs is a constant shift of -8 applied to the positional value of each letter in the cluster.

For the first pair JAP:BSH, the calculations are J(10) - 8 = 2(B), A(1) - 8 = -7, which wraps around the alphabet to 19(S), and P(16) - 8 = 8(H). Similarly, for the second pair NDZ:FVR, the shifts are N(14) - 8 = 6(F), D(4) - 8 = -4, which wraps around to 22(V), and Z(26) - 8 = 18(R).

Applying this same constant subtraction of 8 to the cluster LCX, the first letter is L(12) - 8 = 4, which is D. For the second letter, C(3) - 8 = -5, and adding 26 to handle the alphabetical wrap-around gives 21, which is U. For the third letter, X(24) - 8 = 16, which is P. The resulting letter-cluster is DUP.

Explanation

The logic followed in the given sets involves a sequence of operations where each subsequent number is derived from the previous one using specific multipliers and addends. For any set of four numbers (n₁, n₂, n₃, n₄), the mathematical relationship is: n₂ = n₁ × 2 n₃ = n₂ × 2 n₄ = n₃ + 10

In the set (7 - 14 - 28 - 38), the second number 14 is 7 × 2, the third number 28 is 14 × 2, and the fourth number 38 is 28 + 10. In the set (4 - 8 - 16 - 26), the second number 8 is 4 × 2, the third number 16 is 8 × 2, and the fourth number 26 is 16 + 10.

The set 13 - 26 - 52 - 62 follows this exact pattern. The second number 26 is calculated as 13 × 2. The third number 52 is calculated as 26 × 2. Finally, the fourth number 62 is calculated as 52 + 10. All operations are performed on whole numbers as specified, maintaining consistency with the mathematical logic established by the example sets.

Explanation

Based on the instructions to interchange the operators, we replace + with -, - with +, × with ÷, and ÷ with ×. Substituting these into the original equation 272 × 16 + 97 - 23 ÷ 4, we get the modified expression:

272 ÷ 16 - 97 + 23 × 4

Following the BODMAS rule (Division and Multiplication before Addition and Subtraction):

Division: 272 ÷ 16 = 17 Multiplication: 23 × 4 = 92

Substituting these values back into the expression:

17 - 97 + 92

Performing the final addition and subtraction:

17 + 92 - 97 = 109 - 97 = 12

Explanation

The numerical relationship established in the given sets is that the second number is eight times the first number. In the first set, 28 × 8 = 224. In the second set, 47 × 8 = 376. Applying the same mathematical operation to the provided options, the set (31, 248) is the only one that satisfies this specific logic, as 31 × 8 = 248.

Explanation

The letter-clusters follow a specific pattern based on the decreasing positional values of the letters in the English alphabet (n, n-1, n-2):

VUT: V is the 22nd letter, U is the 21st, and T is the 20th. This forms a sequence of three consecutive letters in reverse alphabetical order (22 → 21 → 20). HGF: H is the 8th letter, G is the 7th, and F is the 6th. This also forms a sequence of three consecutive letters in reverse alphabetical order (8 → 7 → 6). KJ1 (KJI): K is the 11th letter, J is the 10th, and I (represented as 1) is the 9th. This follows the same reverse consecutive pattern (11 → 10 → 9).

In contrast, AAY consists of A (1st letter), A (1st letter), and Y (25th letter). The sequence of positions (1, 1, 25) does not consist of three consecutive letters in reverse alphabetical order, making it the odd one out.

Explanation

The word SLANTED consists of the letters S, L, A, N, T, E, and D. Arranging these letters in English alphabetical order results in the sequence A, D, E, L, N, S, T. In this new cluster, the fourth letter from the left end is L and the second letter from the right end is S.

In the standard English alphabetical series, L is the 12th letter and S is the 19th letter. The number of letters between two letters with positions x and y in the alphabet is calculated using the formula |y - x| - 1. Substituting the numerical positions of L and S, we get |19 - 12| - 1 = 6. The specific letters between them in the alphabet are M, N, O, P, Q, and R, which counts to six.

Explanation

To determine the code for 'sunshine', we compare the given phrases and their corresponding codes to identify common elements. In the first phrase, 'play in the sunshine', the codes are 'sh ko zm fq'. In the second phrase, 'the sunshine is bright', the codes are 'ko sh gp rs'. The words 'the' and 'sunshine' appear in both phrases. Correspondingly, the codes 'sh' and 'ko' appear in both sets of codes. Without a third phrase to further isolate the words, it is impossible to distinguish which code specifically represents 'sunshine' and which represents 'the'. Consequently, the code for 'sunshine' can be either 'sh' or 'ko'.

Explanation

The series follows a cumulative letter-addition pattern where each subsequent segment adds the next letter of the word ASTRA to the previous set. The segments in the series follow a specific length progression of 1, 1, 2, and 3.

The sequence is broken down as follows: Segment 1 (Length 1): A Segment 2 (Length 1): A Segment 3 (Length 2): A, S Segment 4 (Length 3): A, S, T

Combining these segments yields the string provided in the prompt: A A A S A S T. Following this logical progression, the next segment in the series must increase in length to 4 letters, while maintaining the same letter-building pattern (A, then AS, then AST, then ASTR). Therefore, the next figure required to complete the series is the group containing the four letters A, S, T, and R.

Explanation

The words TRIED and TREAD share four letters: T, R, E, and D. Similarly, the codes for these words, 54123 and 12365, share four digits: 1, 2, 3, and 5. These shared digits must correspond to the shared letters. To find the code for the letter I, we look for the letter present in TRIED but absent in TREAD, which is I. We then identify the digit present in the code for TRIED (54123) but absent in the code for TREAD (12365), which is 4. Thus, the letter I is represented by the digit 4.

Explanation

The series follows a consistent arithmetic pattern for each letter position based on its rank in the alphabet. By converting the letters into their numerical positions, the logic is as follows:

First letter: The position increases by 3. M(13) + 3 = P(16), P(16) + 3 = S(19), S(19) + 3 = V(22), and V(22) + 3 = Y(25).

Second letter: The position decreases by 3. J(10) - 3 = G(7), G(7) - 3 = D(4), D(4) - 3 = A(1), and A(1) - 3 = X(24) in a circular alphabet.

Third letter: The position decreases by 3. P(16) - 3 = M(13), M(13) - 3 = J(10), J(10) - 3 = G(7), and G(7) - 3 = D(4).

Fourth letter: The position increases by 3. T(20) + 3 = W(23), W(23) + 3 = Z(26), Z(26) + 3 = C(3), and C(3) + 3 = F(6).

Applying these operations to the third term SDJZ yields 19+3=22 (V), 4-3=1 (A), 10-3=7 (G), and 26+3=29, which is 29-26=3 (C). The resulting term is VAGC.

Explanation

The relationship between the first pair of words is based on synonymy, as both Persist and Endure mean to continue to exist or carry on despite hardships or opposition. Applying the same logic to the second pair, Stall means to stop, slow down, or impede progress, making Delay its most appropriate synonym. Both terms describe an action that causes a postponement or a lack of forward movement.

Explanation

The letter series follows a repeating pattern of the six-letter unit L-M-N-Q-O-L. Dividing the series into blocks of six helps identify the missing letters in each sequence:

Block 1: L M N (Q) O L Block 2: L M (N) Q O L Block 3: L (M) N Q O (L) Block 4: L M N Q (O) L Remaining: L M

By filling the blanks with the letters Q, N, M, L, and O in order, the unit L-M-N-Q-O-L repeats perfectly throughout the series. Therefore, the required sequence of letters is QNMLO.

Explanation

The given sequence is an alternating series composed of two distinct arithmetic progressions interleaved with each other.

The first sub-series consists of the terms at the odd positions (1st, 3rd, 5th, 7th, and 9th terms): 20, 25, 30, ?, 40 In this progression, each term increases by a constant difference of 5. 20 + 5 = 25 25 + 5 = 30 30 + 5 = 35 35 + 5 = 40

The second sub-series consists of the terms at the even positions (2nd, 4th, 6th, and 8th terms): 25, 35, 45, 55 In this progression, each term increases by a constant difference of 10. 25 + 10 = 35 35 + 10 = 45 45 + 10 = 55

Since the question mark is the 7th term of the overall series, it belongs to the first sub-series. Applying the common difference of 5 to the previous term in that sub-series (30), we get 30 + 5 = 35.

Explanation

The relationship in the expression A × B ÷ C + D is determined by decoding each symbol according to the given instructions. From A × B, it is established that A is the wife of B. The next part, B ÷ C, indicates that B is the father of C. Since A is the wife of B and B is the father of C, A must be the mother of C. Finally, the segment C + D means that C is the mother of D. Therefore, A is the mother of D's mother.

Explanation

The mathematical relationship shared by the numbers in the given pairs is that the second number is equal to the cube of the first number minus ten. This relationship can be represented by the formula y = x³ - 10.

For the first example (7, 333), the calculation is 7³ - 10 = 343 - 10 = 333. For the second example (5, 115), the calculation follows the same logic: 5³ - 10 = 125 - 10 = 115.

In option a, the pair (4, 54) satisfies this specific rule. Taking the first number 4, the cube is 64, and subtracting 10 yields the second number: 4³ - 10 = 64 - 10 = 54. This confirms that the pair (4, 54) shares the same mathematical consistency found in the original pairs.

Explanation

The coding logic follows a three-step pattern applied to pairs of letters in the six-letter words:

The first two letters are interchanged (swapped). The third and fourth letters are replaced by their reverse alphabetical opposites (where the sum of the positions of the original letter and its opposite is 27). The last two letters are interchanged (swapped).

Applying this to DAMAGE: D, A (positions 1, 2) swapped becomes A, D. M (13th) opposite is N (14th), and A (1st) opposite is Z (26th). G, E (positions 5, 6) swapped becomes E, G. Result: ADNZEG.

Applying this to MARGIN: M, A (positions 1, 2) swapped becomes A, M. R (18th) opposite is I (9th, as 18 + 9 = 27). G (7th) opposite is T (20th, as 7 + 20 = 27). I, N (positions 5, 6) swapped becomes N, I. Result: AMITNI.

Explanation

The relationship between the numbers in the pairs is defined by the formula y = 3x², where x is the first number and y is the second. In the pair 15-450, applying this rule yields 3 × 15² = 3 × 225 = 675. Because the second value provided is 450 instead of 675, it deviates from the pattern observed in the set.

Explanation

The coding logic follows the formula: Code = (Sum of positional values of the opposite letters in the English alphabet) × (Total number of letters in the word).

For the word HIT, the opposite letters are S (19), R (18), and G (7). The sum of these values is 19 + 18 + 7 = 44. Since HIT has 3 letters, the code is 44 × 3 = 132.

For the word SBYZ, the opposite letters are H (8), Y (25), B (2), and A (1). The sum of these values is 8 + 25 + 2 + 1 = 36. Since SBYZ has 4 letters, the code is 36 × 4 = 144.

Applying the same logic to the word YRF, the opposite letters are B (2), I (9), and U (21). The sum of these positional values is 2 + 9 + 21 = 32. Given that YRF contains 3 letters, the final code is calculated as 32 × 3 = 96.

Explanation

The letter cluster WUQ corresponds to the alphabetical positions 23, 21, and 17. The numerical difference between the first and second letters is 23 - 21 = 2, and the difference between the second and third letters is 21 - 17 = 4. This pattern of -2 and -4 deviates from the consistent -2 and -3 pattern followed by the other clusters. In the remaining groups, the third letter is always three positions behind the second letter, whereas in WUQ, the gap between the second and third letters is four.

Explanation

The series follows an alternating pattern of multiplication and addition operations. Starting with the first number, the sequence progresses by multiplying by 2 and then adding 3.

3 × 2 = 6 6 + 3 = 9 9 × 2 = 18 18 + 3 = 21

Following this logic, the next step in the series requires multiplying the previous term by 2:

21 × 2 = 42

Explanation

The logic of the statements can be analyzed using set theory. The first statement indicates that the set of beaches is entirely contained within the set of sand (B ⊆ S). The second statement indicates that there is an intersection between the set of deserts and the set of sand (D ∩ S ≠ ∅). However, there is no information provided to confirm that the set of beaches and the set of deserts overlap; they could be disjoint subsets within the larger set of sand. Consequently, conclusion (I) does not logically follow. Regarding conclusion (II), the third statement establishes that the set of mountains is a subset of the set of rocky things (M ⊆ R). There is no premise in the given statements connecting the set of sand to either mountains or rocky things. In the absence of a logical link between these categories, it cannot be concluded that any sand is rocky. Since neither conclusion is supported by the premises, neither (I) nor (II) follows.

Explanation

The series is composed of four groups of five letters each. By dividing the series, a clear logical pattern emerges where the last four letters of every group are consistently U-A-N-T, while the first letter of each group follows a decreasing alphabetical pattern.

The completed series is: QUA(N)T / O(U)ANT / (M)UAN(T) / KU(A)NT

The suffix U-A-N-T remains constant in every block. The first letter of each block decreases by two positions in the English alphabet: Q -2 O -2 M -2 K

In terms of alphabetical positions: 17 (Q) - 2 = 15 (O) 15 (O) - 2 = 13 (M) 13 (M) - 2 = 11 (K)

Placing the letters N, U, M, T, and A sequentially into the blanks completes the words QUANT, OUANT, MUANT, and KUANT, maintaining the mathematical and structural consistency of the series.

Explanation

The series follows a consistent pattern of addition across its three components. For the first letters, the sequence is N (14), P (16), R (18), and T (20), where each letter moves forward by 2 positions in the English alphabet. Following this logic, the next first letter is 20 + 2 = 22, which corresponds to the letter V.

For the second letters, the sequence is W (23), Y (25), A (1 or 27), and C (3 or 29). This component also follows a +2 pattern. Adding 2 to C (3) results in the 5th letter of the alphabet, which is E.

For the numeric part, the sequence is 17, 19, 21, and 23. This is an arithmetic progression with a common difference of 2. The next number in the sequence is 23 + 2 = 25. Combining these three results yields the next term VE25.

Explanation

The coding scheme uses the reverse alphabetical position of each letter, where the sum of a letter's standard position and its coded value equals 27 (Code = 27 - Position). For the word MORE, M is the 13th letter (27 - 13 = 14), O is the 15th (27 - 15 = 12), R is the 18th (27 - 18 = 9), and E is the 5th (27 - 5 = 22). For the word KNOW, the positions are K=11, N=14, O=15, and W=23, which result in 27 - 11 = 16, 27 - 14 = 13, 27 - 15 = 12, and 27 - 23 = 4. Applying this to the word SAID, the standard positions are S=19, A=1, I=9, and D=4. Calculating the reverse positions gives 27 - 19 = 8, 27 - 1 = 26, 27 - 9 = 18, and 27 - 4 = 23. This results in the code sequence 8 - 26 - 18 - 23.

Explanation

The relationship between the words in the given pair, Control and Domination, is that of synonyms. Both words refer to the exercise of power, authority, or influence over a person, group, or situation. Specifically, they belong to the semantic field of social and behavioral influence.

Similarly, the pair Manipulation and Deceive consists of words that are synonymous in the context of influencing others through indirect or dishonest means. Manipulation is the act of controlling or managing someone cleverly or unscrupulously, while deceiving is the act of misleading someone to achieve a similar end. Both pairs describe the ways in which one entity exerts influence or management over another, maintaining the thematic connection of behavioral control found in the original pair.

Explanation

The second conclusion follows from the relationship established between capsules, tablets, and medicines. Statement 2 states that some capsules are tablets, which means there is a definite intersection between these two groups. Statement 1 specifies that no medicine is a capsule, indicating that the sets of medicines and capsules are entirely disjoint. Since a portion of tablets consists of capsules, and no capsule can be a medicine, that specific portion of tablets can never be medicines. Because at least some tablets are prohibited from being medicines, the statement that all tablets can never be medicines is logically certain. Conclusion I does not follow because the premises do not establish a necessary connection between capsules and laptops; the overlap between tablets and capsules and the overlap between tablets and laptops do not force the capsules and laptops to meet.

Explanation

The expression P + Q - R S % T is analyzed by breaking down the relations step by step. From P + Q, we know P is the mother of Q. From Q - R, Q is the father of R. From R S, R is the daughter of S. Since R is the daughter of both Q and S, and Q is already established as the father, S must be the mother of R and the wife of Q. Finally, S % T indicates that S is the sister of T.

To find the relationship between P and S, we look at their connections through Q. P is the mother of Q, and Q is the husband of S. Therefore, P is the mother of S's husband, which makes P the mother-in-law of S. In the context of the provided options, P is the husband's mother.

Explanation

The relationship between the numbers in the given sets follows the formula (First number × Third number) × 3 = Second number. For the first set (21, 504, 8), the calculation is 21 × 8 × 3 = 168 × 3 = 504. For the second set (15, 270, 6), the calculation is 15 × 6 × 3 = 90 × 3 = 270. Following the same logic for option d, we find that (16 × 7) × 3 = 112 × 3 = 336.

Explanation

Based on the rules of operator interchange, the symbols are substituted to form a logical sequence. The instruction that '+' and '-' are interchanged and 'x' and '+' are interchanged implies a cyclic shift of operators commonly found in such reasoning puzzles: '-' is replaced by '+' '+' is replaced by '×' '×' is replaced by '÷' The final '+' is replaced by '-'

Substituting these into the given expression: 93 + 7 × 65 ÷ 13 - 34

Following the BODMAS/PEMDAS rule (Division and Multiplication, then Addition and Subtraction):

Perform division: 65 ÷ 13 = 5

Perform multiplication: 7 × 5 = 35

Perform addition and subtraction: 93 + 35 - 34 = 128 - 34 = 94