SSC CGL Tier 1 2022 General Intelligence & Reasoning Questions with Solutions

Explanation

Substituting the mathematical signs from the first option into the given expression results in the equation 50 ÷ 10 × 20 + 5 = 105. According to the BODMAS rule, operations must be performed in the sequence of division, multiplication, addition, and subtraction.

Step 1: Perform the division operation. 50 ÷ 10 = 5

Step 2: Perform the multiplication operation using the result from the first step. 5 × 20 = 100

Step 3: Perform the addition operation. 100 + 5 = 105

The final value of the left-hand side is 105, which matches the value on the right-hand side of the equation, confirming that the combination of signs balances the expression perfectly.

Explanation

The words are coded by rearranging the positions of their letters. By assigning a numerical position (1 to 9) to each letter in the 9-letter words, the transformation pattern can be identified:

Original Position: 1 2 3 4 5 6 7 8 9 Coded Position: 9 7 8 5 6 4 1 2 3

Applying this to COMMUNITY: 1(C), 2(O), 3(M), 4(M), 5(U), 6(N), 7(I), 8(T), 9(Y) Rearranged: 9(Y), 7(I), 8(T), 5(U), 6(N), 4(M), 1(C), 2(O), 3(M) yields YITUNMCOM.

Applying this to AUTHORITY: 1(A), 2(U), 3(T), 4(H), 5(O), 6(R), 7(I), 8(T), 9(Y) Rearranged: 9(Y), 7(I), 8(T), 5(O), 6(R), 4(H), 1(A), 2(U), 3(T) yields YITORHAUT.

Applying this to ISOLATION: 1(I), 2(S), 3(O), 4(L), 5(A), 6(T), 7(I), 8(O), 9(N) Rearranged: 9(N), 7(I), 8(O), 5(A), 6(T), 4(L), 1(I), 2(S), 3(O) yields NIOATLISO.

Explanation

To make the equation 28 + 7× 10 ÷ 5 - 20 = 5 correct, we apply the interchanges specified in option b, which involve the numbers 5 and 10 and the signs + and ÷. In such mathematical puzzles, the interchange applies to all occurrences of the numbers and signs in the equation, including the result on the right-hand side.

Replacing + with ÷, ÷ with +, 5 with 10, and 10 with 5, the equation becomes: 28 ÷ 7 × 5 + 10 - 20 = 10

We solve the left-hand side (LHS) using the BODMAS rule: First, perform the division: 28 ÷ 7 = 4. Next, perform the multiplication: 4 × 5 = 20. Then, perform the addition: 20 + 10 = 30. Finally, perform the subtraction: 30 - 20 = 10.

After the interchange, the right-hand side (RHS) also becomes 10. Since LHS (10) equals RHS (10), the equation is balanced and correct.

Explanation

The sets of numbers follow a specific geometric progression pattern where each subsequent number is double the preceding one, represented by the formula (n, 2n, 4n). In this logic, the second term is calculated as n × 2 and the third term as 2n × 2 (or n × 4). For the group (14- 28- 42), the first two terms follow this rule as 14 × 2 = 28, but the third term is 14 × 3 = 42 (or 28 + 14 = 42). This represents an arithmetic progression pattern of n, 2n, 3n instead of the doubling pattern found in the other groups.

Explanation

The relationship between the words in the given pair is that of a food item and its primary nutrient constituent. Rice is a staple food known for being a major source of carbohydrates. Similarly, cottage cheese is a dairy product that serves as a significant source of protein. The connection is based on the specific biochemical nutrient that the food item provides to the body, rather than just its botanical or culinary classification.

Explanation

The logic follows a specific transformation of letter positions within the 7-letter clusters. The first four letters are reversed, the fifth letter remains in its original position, and the sixth and seventh letters are swapped.

Applying this to ACCUSED: the first four letters ACCU are reversed to UCCA, the fifth letter S remains, and the last two letters ED are swapped to DE, resulting in UCCASDE.

Applying this to FACTORY: the first four letters FACT are reversed to TCAF, the fifth letter O remains, and the last two letters RY are swapped to YR, resulting in TCAFOYR.

Following the same pattern for DYNAMIC: the first four letters DYNA are reversed to ANYD, the fifth letter M remains, and the last two letters IC are swapped to CI. Combining these segments gives ANYDMCI.

Explanation

The given statements establish the relationships of sets A and C with set B, but they do not provide any information regarding the relationship between A and C. Statement I (A ∩ B = ∅) and Statement II (C ∩ B = ∅) indicate that both A and C are disjoint from B.

Conclusion I (Some C are not A) does not logically follow because the premises do not restrict the overlap between A and C. It is possible for set C to be entirely contained within set A, which would make the conclusion false. Conclusion II (Some A are B) is a direct contradiction of Statement I, which asserts that no A is B. If the statement "No A is B" is true, the existential affirmative "Some A are B" must be false. Consequently, neither conclusion can be derived from the provided statements.

Explanation

The relationship between the terms in each pair follows the formula y = (x(x + 2))/(3), where x is the first term of the pair and y is the second.

For the first pair (16:96): y = (16(16 + 2))/(3) = (16 × 18)/(3) = 16 × 6 = 96

For the third pair (18:120): y = (18(18 + 2))/(3) = (18 × 20)/(3) = 6 × 20 = 120

To find the value x related to the fourth term 161 in the second pair: (x(x + 2))/(3) = 161 x² + 2x = 483

By adding 1 to both sides to complete the square: x² + 2x + 1 = 483 + 1 (x + 1)² = 484 x + 1 = √(484) x + 1 = 22 x = 21

Explanation

By interchanging the numbers 4 and 6 in the equation 4 ÷ 2 + 3 - 6 × 5 = - 14, the expression becomes:

6 ÷ 2 + 3 - 4 × 5 = - 14

Following the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction), we first perform the division: 3 + 3 - 4 × 5 = - 14

Next, we perform the multiplication: 3 + 3 - 20 = - 14

Then, we perform the addition: 6 - 20 = - 14

Finally, we perform the subtraction:

• 14 = - 14

The Left Hand Side (LHS) equals the Right Hand Side (RHS), making the equation correct after the interchange.

Explanation

The series follows a pattern where each subsequent term is determined by subtracting a value that increases by 1 at each step. By calculating the differences between consecutive terms, the underlying sequence of subtractions is revealed:

67 - 46 = 21 46 - 24 = 22 24 - 1 = 23 1 - (-23) = 24

The differences form a simple arithmetic progression: 21, 22, 23, 24. To find the next number in the series, the next difference in this progression, which is 24 + 1 = 25, must be subtracted from the current term.

-23 - 25 = -48

Explanation

The relationship between the numbers in each pair follows the pattern y = ˣ⁄₄ + 2, where x is the first number and y is the second number.

For the first pair 68:19: ⁶⁸⁄₄ + 2 = 17 + 2 = 19

For the second pair 76:21: ⁷⁶⁄₄ + 2 = 19 + 2 = 21

Applying this logic to the fifth number 164 to find the missing value: ¹⁶⁴⁄₄ + 2 = 41 + 2 = 43

Explanation

The logic followed in the given sets is (First Number - Second Number)² = Third Number.

In the set (16, 7, 81): (16 - 7)² = 9² = 81

In the set (24, 16, 64): (24 - 16)² = 8² = 64

Applying the same mathematical relationship to the set (13, 7, 36): (13 - 7)² = 6² = 36

The result of the subtraction between the first two terms is 6, and its square is 36, which matches the third term of the set.

Explanation

The expression W | Q # T | Y @ M % K is decoded as follows: W | Q means W is the father of Q. Q # T means Q is the sister of T. T | Y means T is the father of Y. Y @ M means Y is the son of M; since T is the father of Y, M must be the mother of Y and the wife of T. M % K means M is the mother of K. From these relationships, T and M are the parents of K. Since Q is the sister of T, and T is the father of K, Q is the father's sister of K.

Explanation

The series follows a consistent addition pattern for each letter position in the triads based on their numerical values in the alphabet (A=1, B=2, ..., Z=26).

For the first letters, there is a constant increment of 6: N (14) + 6 = T (20) T (20) + 6 = Z (26) Z (26) + 6 = 32 ≡ 6 (F) F (6) + 6 = 12 (L)

For the second letters, there is a constant increment of 9: T (20) + 9 = 29 ≡ 3 (C) C (3) + 9 = 12 (L) L (12) + 9 = 21 (U) U (21) + 9 = 30 ≡ 4 (D)

For the third letters, the sequence alternates between R (18) and E (5): R → E → R → E → R

Following these patterns, the next term in the series is LDR.

Explanation

Interchanging the numbers 78 and 14 transforms the original expression into 168 ÷ 4 + 216 ÷ (14 × 1 - 8) = 78. To verify this, simplify the Left Hand Side (LHS) using the order of operations. First, calculate the value within the parentheses: 14 × 1 - 8 = 6. Next, execute the division operations: 168 ÷ 4 = 42 and 216 ÷ 6 = 36. Finally, add the resulting quotients: 42 + 36 = 78. Since the calculated LHS equals the new Right Hand Side (RHS) of 78, the equality holds true.

Explanation

The relationship in the given pair is based on collective nouns, where the second word describes a group of the first word. A large group of bees flying or living together is called a swarm. Similarly, the collective noun used to identify a social group of monkeys is a troop. This term is standard for describing clusters of primates that live, travel, and interact as a single unit.

Explanation

The relationship established in the first pair is between an animal and its offspring. A calf is the young one of cattle. Similarly, a foal is the term used for the young of a horse, specifically one that is less than one year old.

Explanation

The logic followed in the given sets is (First Number - Third Number)³ = Middle Number.

In the set (9, 343, 2): (9 - 2)³ = 7³ = 343

In the set (12, 729, 3): (12 - 3)³ = 9³ = 729

Applying this same logic to the numbers in option d (12, 125, 7): (12 - 7)³ = 5³ = 125

The calculation confirms that the set (12, 125, 7) adheres to the pattern observed in the example sets.

Explanation

The coding language follows a pattern where the word is divided into two equal halves. The first half of the word remains in its original sequence, while the letters in the second half are reversed.

In the word ORGANIZATION, which contains twelve letters, the first six letters are ORGAN I and the last six letters are ZATION. The first half is kept as ORGAN I, and the second half is reversed from Z-A-T-I-O-N to N-O-I-T-A-Z, forming the code ORGANINOITAZ.

Applying this logic to the eight-letter word RESOURCE, the word is split into two halves of four letters each. The first half consists of the letters R-E-S-O, and the second half consists of the letters U-R-C-E. The first half is maintained in its original order as RESO. The second half is reversed from U-R-C-E to E-C-R-U. Combining the unchanged first half with the reversed second half results in the coded word RESOECRU.

Explanation

The statements provided are both particular affirmative (I-type) propositions. In syllogistic logic, no definite conclusion can be drawn from two particular premises, as represented by the rule that the combination of two I-type statements yields no valid conclusion between the non-common terms. This means the relationship between X and W is uncertain and cannot be established as a necessity, making conclusion I invalid. Regarding conclusion II, an affirmative statement like Some Z are X cannot support a negative conclusion like Some X are not Z. In formal logic, the term some implies at least one and does not exclude the possibility of all. Therefore, the existence of an intersection between X and Z does not guarantee that any part of X remains outside of Z.

Explanation

The coding logic follows a pattern of increasing additions in pairs. The positions of letters in the English alphabet are incremented as +2 for the first two letters, +4 for the next two letters, and +6 for the final two letters.

Applying this to ANNUAL (1, 14, 14, 21, 1, 12): 1 + 2 = 3 (C) 14 + 2 = 16 (P) 14 + 4 = 18 (R) 21 + 4 = 25 (Y) 1 + 6 = 7 (G) 12 + 6 = 18 (R) This results in CPRYGR.

Applying the same pattern to AMOUNT (1, 13, 15, 21, 14, 20): 1 + 2 = 3 (C) 13 + 2 = 15 (O) 15 + 4 = 19 (S) 21 + 4 = 25 (Y) 14 + 6 = 20 (T) 20 + 6 = 26 (Z) This results in COSYTZ.

For the word AGENDA (1, 7, 5, 14, 4, 1): 1 + 2 = 3 (C) 7 + 2 = 9 (I) 5 + 4 = 9 (I) 14 + 4 = 18 (R) 4 + 6 = 10 (J) 1 + 6 = 7 (G) The resulting code is CIIRJG.

Explanation

The letter-cluster FHg is the odd one out because it deviates from the alphabetical and casing patterns shared by the other three options. In the clusters WZY, LON, and ADC, the second letter is the third letter after the first (+3) and the third letter is the one immediately preceding the second (-1), following the numerical pattern n, n+3, n+2. Specifically, W(23) → Z(26) → Y(25), L(12) → O(15) → N(14), and A(1) → D(4) → C(3). In contrast, FHg follows a +2, -1 pattern, as F is the 6th letter, H is the 8th, and g is the 7th. Furthermore, FHg contains a lowercase letter, while the other clusters are composed entirely of uppercase letters.

Explanation

A maternal aunt is defined as the sister of a person's mother. Based on the provided symbol logic, the expression B × C establishes that B is the mother of C. The expression A ÷ B establishes that A is the sister of B. By combining these into A ÷ B × C, it is determined that A is the sister of B, and since B is the mother of C, A is the maternal aunt of C.

Explanation

The given series follows a consistent alphabetical progression for each letter position within the clusters. For the first letter, the sequence decreases by 2 in each step: T (20) minus 2 equals R (18), which then continues to P (16), N (14), and L (12). For the second letter, the sequence decreases by 3 in each step: Y (25) minus 3 equals V (22), which then continues to S (19), P (16), and M (13). For the third letter, the sequence increases by 3 in each step: G (7) plus 3 equals J (10), which then continues to M (13), P (16), and S (19). By applying these operations to the first cluster TYG, the missing cluster is determined to be RVJ.

Explanation

The given expression I J - K % L M N can be decoded using the provided symbols: I J indicates that I is the husband of J, establishing I as male and J as female. J - K indicates that J is the mother of K. K % L indicates that K is the brother of L. L M indicates that L is the sister of M. M N indicates that M is the husband of N, making N the wife of M.

By combining these relations, K, L, and M are siblings with J as their mother and I as their father. Since I is the father of M and N is the wife of M, I is the father-in-law of N.

Explanation

To arrange words in dictionary order, they are compared character by character from left to right. All five words begin with the prefix Thr. Comparing the fourth letters, Threadbare (2), Thresh (1), Threw (4), and Threat (5) contain e, while Thrice (3) contains i. Since e comes before i in the alphabet, word 3 is the last in the sequence.

Among the words starting with Thre, the fifth letters are a in Threadbare (2) and Threat (5), s in Thresh (1), and w in Threw (4). Based on the fifth letter, the words with a come first, followed by s, then w. Between Threadbare (2) and Threat (5), the sixth letter d in Threadbare precedes the t in Threat. This establishes the initial sequence as 2, then 5. Following these are Thresh (1) and Threw (4). Placing the previously identified word 3 at the end results in the final dictionary order: 2, 5, 1, 4, 3.

Explanation

The mathematical signs from option d are substituted into the expression sequentially to balance the equation. The signs in order are: -, +, ×, ÷, ×, ×, -.

Substituting these into the given expression: [((42 - 26) + (12 × 2)) ÷ (4 × 5)] × 5 - 10

Applying the BODMAS rule: Solve the innermost parentheses: (42 - 26) = 16 (12 × 2) = 24 (4 × 5) = 20

Solve the next level of brackets: (16 + 24) = 40

Substitute these values back into the expression: [40 ÷ 20] × 5 - 10

Perform the division inside the square brackets: 40 ÷ 20 = 2

Complete the final operations: 2 × 5 - 10 = 10 - 10 = 0

The expression evaluates to 0, which balances the equation.

Explanation

The statement that some mobiles are flat combined with the rule that all flats are TVs implies that the mobiles belonging to the flat category must also belong to the TV category. This establishes a definite logical intersection between mobiles and TVs, confirming that some mobiles are TVs. Thus, conclusion I is valid.

For conclusion II, while all flats are TVs and some TVs are plastic, there is no mandated overlap between the subset of flats and the subset of plastic items within the TV group; they could be entirely separate. For conclusion III, the premise that some TVs are plastic only establishes a partial overlap and does not provide enough information to conclude that every plastic item is a TV. Therefore, among the choices provided, only conclusion I follows.

Explanation

To determine if the equation is incorrect after interchanging the numbers 7 and 4, substitute 4 in place of 7 and 7 in place of 4 in the given expression 8 ÷ 6 × 9 + 7 - 4. The modified expression becomes 8 ÷ 6 × 9 + 4 - 7. Following the BODMAS rule, first perform the division 8 ÷ 6, which equals ⁴⁄₃. Next, multiply the result by 9 to get ⁴⁄₃ × 9 = 12. Then, perform the addition 12 + 4 = 16. Finally, subtract 7 from the sum to get 16 - 7 = 9. Since the calculated value 9 does not equal the value 12 provided in the original equation, the equation is not correct.

Explanation

The relationship between the numbers in the given sets (a, b, c) is defined by the formula b = (a × c) - 2. For the set (3, 16, 6), the product of the first and third numbers minus two yields the middle number, as (3 × 6) - 2 = 18 - 2 = 16. Similarly, for the set (4, 22, 6), the calculation is (4 × 6) - 2 = 24 - 2 = 22.

In option b, the set (9, 70, 8) follows this exact mathematical rule. Multiplying the first number 9 by the third number 8 gives 72, and subtracting 2 results in the middle number 70, expressed as (9 × 8) - 2 = 72 - 2 = 70.

Explanation

The numbers in each set follow the pattern (n₁ + n₂) × 15 = n₃, where the third number is obtained by multiplying the sum of the first two numbers by a constant factor of 15.

For the first given set (4, 7, 165), the sum of the first two numbers is 4 + 7 = 11. Multiplying this sum by 15 gives 11 × 15 = 165.

For the second given set (14, 26, 600), the sum of the first two numbers is 14 + 26 = 40. Multiplying this sum by 15 gives 40 × 15 = 600.

Applying this same logic to the numbers in the set (3, 6, 135), the sum of the first two numbers is 3 + 6 = 9. Multiplying this sum by 15 results in 9 × 15 = 135, which corresponds to the third number in the set.

Explanation

The mathematical relation governing the set of number pairs is y = 2x - 1, where x represents the whole number on the left and y represents the whole number on the right. For the pair 22 - 40, applying this rule by multiplying the first number 22 by 2 and then subtracting 1 results in 2 × 22 - 1 = 43. Since the second number in the pair is 40 and not 43, this pair fails to follow the consistent logic.

Explanation

Statement I establishes that there is an intersection between the set of P and the set of K. Statement II defines that no element of K is part of the set T, meaning the sets K and T are disjoint. Since a portion of P is contained within K, and no part of K can be T, that specific portion of P which overlaps with K is guaranteed to be outside the set T. Therefore, the conclusion that some P are not T is logically certain.

Explanation

The coding logic follows the pattern where the sum of the positional values of the letters in the English alphabet (A=1, B=2, ..., Z=26) is multiplied by 2 to obtain the code.

For FROST: F=6, R=18, O=15, S=19, T=20 Sum = 6 + 18 + 15 + 19 + 20 = 78 Code = 78 × 2 = 156

For CANDLE: C=3, A=1, N=14, D=4, L=12, E=5 Sum = 3 + 1 + 14 + 4 + 12 + 5 = 39 Code = 39 × 2 = 78

Applying the same logic to SCREAM: S=19, C=3, R=18, E=5, A=1, M=13 Sum = 19 + 3 + 18 + 5 + 1 + 13 = 59 Required code = 59 × 2 = 118

Explanation

The numbers in each row follow the mathematical logic defined by the relation 5 × Number₁ - 4 × Number₂ = Number₃.

For the first row, substituting the values 12 and 7 yields: 5 × 12 - 4 × 7 = 60 - 28 = 32.

For the second row, substituting the values 17 and 13 yields: 5 × 17 - 4 × 13 = 85 - 52 = 33.

To find the missing value in the third row, substitute the numbers 14 and 8 into the same formula: 5 × 14 - 4 × 8 = 70 - 32 = 38.

This pattern can also be expressed as (Number₁ - Number₂) × 4 + Number₁ = Number₃. Applying this to the rows confirms the result: Row 1: (12 - 7) × 4 + 12 = 20 + 12 = 32. Row 2: (17 - 13) × 4 + 17 = 16 + 17 = 33. Row 3: (14 - 8) × 4 + 14 = 24 + 14 = 38.

Explanation

By decoding the expression A - B % C D + E using the given symbol definitions, we can trace the genealogical relationship. A - B establishes that A is the mother of B. The next parts, B % C (B is the brother of C) and C D (C is the sister of D), indicate that B, C, and D are siblings. Therefore, A is the mother of B, C, and D. The final segment, D + E, states that D is the father of E. Since A is the mother of D and D is the father of E, A is the mother of E's father. This confirms that A is the father's mother of E.

Explanation

To evaluate the equation 9× 7 + 4÷ 1 - 6 = 38, the numbers 9 and 6 are interchanged to form the expression 6× 7 + 4÷ 1 - 9. Following the BODMAS order of operations, the division step is performed first as 4÷ 1 = 4. Next, the multiplication step is executed as 6× 7 = 42. Combining these results, the expression becomes 42 + 4 - 9. Adding 42 and 4 yields 46, and finally, subtracting 9 from 46 results in a value of 37, which is not equal to the value of 38 provided on the right-hand side of the original equation.

Explanation

The calendar for a year repeats when the sum of odd days becomes a multiple of 7 and both years are of the same type (ordinary or leap). From 2003 to 2013, there are 8 ordinary years and 3 leap years (2004, 2008, 2012), totaling 14 odd days, which means 2014 will have the same calendar as 2003.

Explanation

The series follows a specific arithmetic pattern for both the first and second letters of each cluster. For the first letters, the sequence is D +2 F +2 H +2 J +2 L. Following this pattern, the next first letter is L(12) + 2 = 14, which corresponds to the letter N. For the second letters, the sequence is W -2 U -2 S -2 Q -2 O. Following this pattern, the next second letter is O(15) - 2 = 13, which corresponds to the letter M.

Additionally, each cluster in the series consists of pairs of opposite letters whose alphabetical positions sum to 27. For example, D(4) + W(23) = 27 and F(6) + U(21) = 27. Since the first letter of the next cluster is N (14), its opposite letter must be 27 - 14 = 13, which is M. Combining these results, the next letter cluster in the series is NM.

Explanation

In the expression P - Q + R, the given symbols define the relationships between the variables. The part P - Q indicates that P is the mother of Q. The subsequent part Q + R indicates that Q is the sister of R. Since Q and R are siblings and P is the mother of Q, P is necessarily the mother of R.

Explanation

The relationship between the words is based on collective nouns used for groups of animals. A flock is the specific collective noun used to describe a group of birds. Following the same linguistic pattern, a swarm is the standard collective noun used to identify a large group of bees, especially when they are flying together or moving in a dense colony.

Explanation

The relationship between the numbers in each pair follows the mathematical pattern n : n × (n - 2).

For the first pair 8:48, the second term is derived by subtracting 2 from the first term and then multiplying the result by the first term, which is 8 × (8 - 2) = 8 × 6 = 48.

For the third pair 15:195, the same logic applies as 15 × (15 - 2) = 15 × 13 = 195.

Applying this logic to the middle pair where the fourth term is 143, we solve for x in the equation x(x - 2) = 143. This expands to the quadratic equation x² - 2x - 143 = 0. Factoring this equation, we get (x - 13)(x + 11) = 0. Since the options are positive integers, we take x = 13. This is further confirmed by noting that 143 = 13 × 11, where the multiplier 11 is exactly 2 less than 13.

Explanation

Conclusion II follows directly from the second statement. Statement 2 states that no block is Lego, which is a universal negative proposition. In syllogistic logic, the statement No A is B is equivalent to No B is A. Therefore, if no block is Lego, it is logically certain that no Lego is a block.

Conclusion I does not follow because the premises only link puzzles to blocks and separate blocks from Lego. While the portion of puzzles that are blocks cannot be Lego, there is no information provided to confirm that any other portion of puzzles overlaps with the Lego category. Conclusion III does not follow because all toys are part of the Lego set according to Statement 1, and since no Lego can be a block, it is impossible for any toy to be a block. Consequently, the only conclusion that is logically certain is Conclusion II.

Explanation

The logic followed in the given sets is based on the formula a² - b = c, where the triplet is represented as (a, b, c). In the first set (5, 2, 23), the calculation is 5² - 2 = 25 - 2 = 23. In the second set (6, 2, 34), the calculation is 6² - 2 = 36 - 2 = 34. Applying this same relationship to the set in option d, which is (3, 2, 7), the calculation yields 3² - 2 = 9 - 2 = 7. This confirms that the third number is obtained by subtracting the second number from the square of the first number.

Explanation

The relationship in this analogy is based on the activity and its designated venue. A drama is a performance or artistic work that is staged and conducted on a stage. Following the same logic, a trial is a formal legal proceeding where evidence is examined and judicial decisions are made, which takes place within the designated venue of a court. Thus, just as the stage provides the setting for a drama, the court provides the setting for a trial.

Explanation

The letter-cluster MOP is the odd one out because it follows a positional increment pattern of +2 and +1. The alphabetical positions of the letters are M = 13, O = 15, and P = 16. This sequence deviates from the uniform +2 gap maintained in the other clusters, where each letter is separated by exactly one skipped letter. In MOP, the transition from O to P involves no skipped letters, breaking the consistent +2 addition rule.

Explanation

The coding logic is based on the sum of the numerical positions of the letters in the English alphabet (A=1, B=2, ..., Z=26) plus a constant value of 10.

For the word YOU, the sum of the positions is 25 (Y) + 15 (O) + 21 (U) = 61. Adding the constant gives 61 + 10 = 71.

For the word TOO, the sum of the positions is 20 (T) + 15 (O) + 15 (O) = 50. Adding the constant gives 50 + 10 = 60.

Applying the same rule to the word SIT, the numerical positions are S = 19, I = 9, and T = 20. The sum of these positions is 19 + 9 + 20 = 48. Adding the constant value of 10 results in 48 + 10 = 58.

Explanation

The series follows a specific arithmetic pattern for each letter position independently, based on their alphabetical positions from 1 to 26. In the first position, the sequence of letters A, C, E, and G corresponds to positions 1, 3, 5, and 7. Each term increases by +2, so the next letter position is 7 + 2 = 9, which is I.

In the second position, the letters are B, T, L, and D, with ranks 2, 20, 12, and 4. This sequence follows a constant subtraction of 8. Since 2 - 8 = -6 and -6 + 26 = 20, the pattern holds throughout the series. For the final term, subtracting 8 from the rank of D (4) results in -4, and adding 26 to adjust for the alphabetical cycle gives 22, which corresponds to the letter V.

In the third position, the letters C, F, I, and L represent ranks 3, 6, 9, and 12. This sequence increases by +3 at each step, making the next rank 12 + 3 = 15, which is the letter O. In the fourth position, the letters D, Z, V, and R correspond to ranks 4, 26, 22, and 18. This sequence decreases by -4 at each step, making the next rank 18 - 4 = 14, which is the letter N.

Explanation

The logic followed in the given number pairs is that the second number is the square of the first number, which can be expressed by the formula y = x². Applying this rule to the other pairs, we find 10² = 100, 6² = 36, and 4² = 16. However, for the pair 8-62, the square of 8 is 64 (8 × 8 = 64). Since the second number is 62 instead of 64, this pair does not follow the square relationship shared by the others and is the odd one out.

Explanation

In the equation given in option d, 8 × 4 + 6 - 2 ÷ 1 = 6, interchanging the numbers 2 and 8 results in the following expression:

2 × 4 + 6 - 8 ÷ 1 = 6

Applying the BODMAS rule to the left-hand side of the equation:

First, perform the division: 8 ÷ 1 = 8. The equation becomes: 2 × 4 + 6 - 8 = 6.

Next, perform the multiplication: 2 × 4 = 8. The equation becomes: 8 + 6 - 8 = 6.

Finally, perform addition and subtraction: 14 - 8 = 6.

The calculation yields 6 = 6, which confirms the equation is balanced and correct.