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

Explanation

The letter series follows a repetitive pattern where a specific group of five letters, RFVGT, is repeated four times. Dividing the given series into groups of five letters reveals the structure: (RF_GT), (R_VG_), (RFV_T), and (_FVG T). By filling the blanks sequentially with the letters V, F, T, G, and R, each group becomes the identical string RFVGT. The complete sequence is RFVGT RFVGT RFVGT RFVGT, which confirms the pattern and the sequence of the missing letters.

Explanation

The relationship between pages and notebooks is not definitively established by the statements. While all pages are diaries and some diaries are notebooks (because some diaries are books and all books are notebooks), there is no specific information regarding the intersection of the page set and the notebook set. Therefore, definite conclusions like No page is a notebook (Conclusion I) or All pages are notebooks (Conclusion II) cannot be drawn as they are not necessarily true in all possible scenarios.

Conclusion III is a statement of possibility. It is logically possible for all diaries to be notebooks if the set of diaries is a subset of the set of books, which in turn is a subset of the set of notebooks. Since this configuration does not violate any of the given premises (All pages are diaries, Some diaries are books, and All books are notebooks), the possibility exists. Thus, only conclusion III follows logically.

Explanation

The word BINDER consists of the letters B, I, N, D, E, and R. To determine how many letters remain in the same position, we compare the original sequence with the letters sorted in English alphabetical order. The original sequence is B, I, N, D, E, R. When these letters are sorted alphabetically, the sequence becomes B, D, E, I, N, R.

By comparing the two sequences position by position: In the first position, B remains unchanged. In the second position, I changes to D. In the third position, N changes to E. In the fourth position, D changes to I. In the fifth position, E changes to N. In the sixth position, R remains unchanged.

The letters at the first and sixth positions, which are B and R, are the only ones that stay in their original places. Therefore, the positions of two letters remain unchanged.

Explanation

The expression 4 + 3 ÷ 2 ÷ 1 - 5 can be decoded by analyzing the relations between the relevant numbers step by step. According to the symbols provided, 4 + 3 indicates that 4 is the mother of 3. Moving to the next part of the expression, 3 ÷ 2 indicates that 3 is the father of 2. By combining these two pieces of information, 4 is the mother of 3, and 3 is the father of 2. This establishes that 4 is the mother of 2's father, or the paternal grandmother. The subsequent terms in the expression involving 1 and 5 define 2 as the father of 1 and 1 as the brother of 5, which does not alter the direct relationship established between 4 and 2.

Explanation

The relationship between the strings is based on the concept of opposite letters in the English alphabetical order. Two letters are considered opposites if their numerical positions in the alphabet sum to 27. For the pair WISK and DRHP, W (23) corresponds to D (4) because 23 + 4 = 27, I (9) corresponds to R (18) because 9 + 18 = 27, S (19) corresponds to H (8) because 19 + 8 = 27, and K (11) corresponds to P (16) because 11 + 16 = 27. Similarly, for LENT and OVMG, L (12) maps to O (15), E (5) to V (22), N (14) to M (13), and T (20) to G (7).

Following this same logic for the word BANG, B (position 2) is paired with Y (position 25), A (position 1) is paired with Z (position 26), N (position 14) is paired with M (position 13), and G (position 7) is paired with T (position 20). Combining these results gives the related string YZMT.

Explanation

The relationship between the numbers in each set follows a specific pattern where operations are performed sequentially on the preceding number. For a sequence of four whole numbers n₁, n₂, n₃, n₄, the operations are n₂ = n₁ × 2, n₃ = n₂ × 2, and n₄ = n₃ + 35.

In the first given set, 18-36-72-107, the operations are 18 × 2 = 36, 36 × 2 = 72, and 72 + 35 = 107. Similarly, in the second given set, 15-30-60-95, the pattern follows with 15 × 2 = 30, 30 × 2 = 60, and 60 + 35 = 95. Applying this consistent logic to the numbers 22-44-88-123, we find that 22 × 2 = 44, 44 × 2 = 88, and 88 + 35 = 123. This sequence adheres to the exact mathematical operations established by the example sets.

Explanation

The given sequence follows a pattern based on increasing differences between consecutive terms. By subtracting each term from the one following it, the increments are identified as follows: 30 - 25 = 5, 40 - 30 = 10, 55 - 40 = 15, and 75 - 55 = 20. The differences themselves form an arithmetic progression where each subsequent increment increases by 5 (5, 10, 15, 20). Following this logic, the next difference in the sequence should be 20 + 5 = 25. Adding this value to the last term of the series, we get 75 + 25 = 100.

Explanation

The word ENTOMB consists of the letters E, N, T, O, M, and B. To determine how many letters remain in their original positions after rearrangement, we first arrange these letters in English alphabetical order. The letters sorted alphabetically are B, E, M, N, O, and T. Comparing the original word ENTOMB with the sorted sequence BEMNOT position by position reveals the following changes: the first position changes from E to B, the second position changes from N to E, the third position changes from T to M, the fourth position changes from O to N, the fifth position changes from M to O, and the sixth position changes from B to T. Since every letter in the original word is replaced by a different letter in the alphabetical arrangement, there are no letters that remain in their original positions. The total count of unchanged positions is therefore zero.

Explanation

The relationship in the given pair is that of a member to its category: a virus is a biological agent that functions as a parasite. Similarly, Amaltas (scientifically known as Cassia fistula or the Indian Laburnum) is a specific species that belongs to the category of a tree. Both pairs follow the logical structure where the first word is a specific instance or classification of the broader group represented by the second word.

Explanation

The logic applied to the given sets is a constant difference of 56 between the two numbers. For the first set, the calculation is 213 - 157 = 56. For the second set, the calculation is 185 - 129 = 56. Applying this same logic to the options, the pair (164, 108) is the only one that satisfies this relationship, as 164 - 108 = 56.

Explanation

The group is defined by a mathematical relationship where the first number equals nine times the difference between the second and third numbers. For the numbers in this set, the difference between the second and third values is 284 - 266 = 18. Multiplying this difference by nine yields 9 × 18 = 162. Since the first number provided in the set is 72 rather than 162, it does not satisfy the shared logic of the group.

Explanation

The series follows a distinct arithmetic progression for each letter position within the four-letter strings based on their alphabetical ranks. For the first letter, the sequence is I (9), M (13), Q (17), and U (21), showing a consistent increment of +4. Adding 4 to the rank of U (21) results in 25, which corresponds to the letter Y.

For the second letter, the sequence is M (13), P (16), S (19), and V (22), showing an increment of +3. Adding 3 to the rank of V (22) results in 25, which corresponds to the letter Y.

For the third letter, the sequence is H (8), J (10), L (12), and N (14), showing an increment of +2. Adding 2 to the rank of N (14) results in 16, which corresponds to the letter P.

For the fourth letter, the sequence is P (16), Q (17), R (18), and S (19), showing an increment of +1. Adding 1 to the rank of S (19) results in 20, which corresponds to the letter T. Combining these individual results yields the term YYPT.

Explanation

The transformation logic used in this code language is based on an alternating shift of +1 and -1 applied to the alphabetical position of each letter. For the word FACED, the letters are modified as F → G (+1), A → Z (-1), C → D (+1), E → D (-1), and D → E (+1). The word VACAY follows the same pattern: V → W (+1), A → Z (-1), C → D (+1), A → Z (-1), and Y → Z (+1). Applying this alternating sequence to the word LABOR, the letters change as follows: L+1 = M, A-1 = Z, B+1 = C, O-1 = N, and R+1 = S.

Explanation

Interchanging the signs - and + in the given expression 247 ÷ 13 + 16 × 3 - 148 = 119 yields:

247 ÷ 13 - 16 × 3 + 148

By applying the BODMAS rule, the calculation proceeds as follows:

First, perform the division: 247 ÷ 13 = 19

Second, perform the multiplication: 16 × 3 = 48

Substitute these results back into the equation: 19 - 48 + 148

Finally, perform the addition and subtraction: 19 - 48 + 148 = -29 + 148 = 119

The resulting value of 119 confirms that interchanging these two signs satisfies the equation.

Explanation

The letter-clusters in the series follow a consistent pattern based on the alphabetical positions of the letters. Each cluster is derived from the preceding one by adding 10 to the positional value of each corresponding letter: Lₙ = (Lₙ₋₁ + 10) 26. Starting with YCG, where the positions are Y (25), C (3), and G (7), adding 10 to each yields I (35 mod 26 = 9), M (13), and Q (17), which matches the second cluster IMQ. Applying this +10 increment to IMQ should produce the third cluster S (19), W (23), and A (27 mod 26 = 1). Instead, the series contains SVZ, which does not follow this progression. Furthermore, every other cluster in the series maintains a uniform internal difference of +4 between its consecutive letters. For example, in IMQ, I (9) + 4 = M (13) and M (13) + 4 = Q (17). In CGK, C (3) + 4 = G (7) and G (7) + 4 = K (11). SVZ violates this internal logic as well, as the difference between S (19) and V (22) is only +3.

Explanation

The letter-clusters in this set follow a specific numerical pattern based on their positions in the English alphabet, where A=1, B=2, …, Z=26. The defining logic for the group is that the second letter is obtained by subtracting 2 from the position of the first letter, and the third letter is obtained by subtracting 4 from the position of the second letter. This can be expressed by the formulas L₁ - 2 = L₂ and L₂ - 4 = L₃. The cluster KJE is the odd one out because it follows a different sequence where K(11) - 1 = J(10) and J(10) - 5 = E(5), failing to adhere to the consistent -2 and -4 pattern.

Explanation

According to the given conditions, the operators + and - are interchanged, and × and ÷ are interchanged. Applying these changes to the original equation 342 × 18 + 79 - 45 ÷ 3, the new expression becomes:

342 ÷ 18 - 79 + 45 × 3

To solve this, follow the BODMAS rule (Division, Multiplication, Addition, Subtraction):

First, perform the division: 342 ÷ 18 = 19

Next, perform the multiplication: 45 × 3 = 135

Substitute these values back into the expression: 19 - 79 + 135

Now, perform the addition and subtraction: 19 - 79 = -60 -60 + 135 = 75

Explanation

The relationship follows the logic of dividing the first fraction by 2 to obtain the second fraction. In the first pair, the calculation is 24/7 ÷ 2 = 24/14, which simplifies to 12/7. In the second pair, the calculation is 11/15 ÷ 2 = 11/(15 × 2) = 11/30. Applying this same logic to the target fraction, we divide by 2: 9/13 ÷ 2 = 9/(13 × 2) = 9/26

Explanation

The logic followed by the number sets is (n₁ + n₂) × 11 = n₃, where n₁, n₂, and n₃ represent the first, second, and third numbers respectively. Applying this formula to the set 23-8-343, we calculate the sum of the first two numbers as 23 + 8 = 31. Multiplying this sum by 11 gives 31 × 11 = 341. Because the result 341 does not match the given third number 343, this set violates the mathematical pattern shared by the other options.

Explanation

In the given code language, the common word between the phrases 'talk to me' and 'do not talk' is 'talk'. Similarly, comparing the corresponding codes 'aq yt bl' and 'yt me wc', the only common code present in both sets is 'yt'. By the method of elimination through comparison, the code for the word 'talk' is identified as 'yt'.

Explanation

The relationship between the terms is based on a constant shift in the English alphabetical order. Each letter in the second group is obtained by subtracting 4 from the numerical position of the corresponding letter in the first group.

In the first pair NGRP and JCNL, the positions are transformed as follows: N (14) - 4 = J (10) G (7) - 4 = C (3) R (18) - 4 = N (14) P (16) - 4 = L (12)

In the second pair FKLT and BGHP, the same logic applies: F (6) - 4 = B (2) K (11) - 4 = G (7) L (12) - 4 = H (8) T (20) - 4 = P (16)

Applying this constant subtraction of 4 to the word SQUO: S (19) - 4 = O (15) Q (17) - 4 = M (13) U (21) - 4 = Q (17) O (15) - 4 = K (11)

This calculation results in the string OMQK.

Explanation

The series can be divided into groups of four letters. By placing the letters from the option FIFE into the blanks, the series becomes: E F G H | E I I G | E L K F | O M E E.

A consistent mathematical pattern emerges when tracking the progression of letters at specific positions across these groups:

Sequence 1: The second letter of the first three blocks and the first letter of the fourth block follow a +3 progression. F (6) +3 I (9) +3 L (12) +3 O (15)

Sequence 2: The third letter of the first three blocks and the second letter of the fourth block follow a +2 progression. G (7) +2 I (9) +2 K (11) +2 M (13)

Sequence 3: The fourth letter of the first three blocks and the third letter of the fourth block follow a -1 progression. H (8) -1 G (7) -1 F (6) -1 E (5)

The first letter of the first three blocks remains constant as E. By filling the blanks with F, I, F, and E sequentially, all these arithmetic progressions are satisfied.

Explanation

The given expression is P × S + M - T + R. Breaking this down step-by-step using the provided code:

P × S implies that P is the brother of S. This establishes that P and S are siblings and P is male.

S + M implies that S is the son of M. Since P and S are brothers, P is also the son of M.

M - T implies that M is the wife of T. This means T is the husband of M, making T the father of P and S.

T + R implies that T is the son of R.

Combining these relationships, P is the son of T, and T is the son of R. Therefore, P is the son of R's son, which corresponds to the relationship of a grandson.

Explanation

The logic governing the relationship between the pairs is a constant difference. In the first set, the relationship is defined by 346 - 245 = 101. In the second set, the same constant difference is applied as 580 - 479 = 101. To find the number related to 613, we subtract this constant from the given value: 613 - 101 = 512. This operation is performed on the whole number as required by the logic of the pattern.

Explanation

The series follows a specific mathematical pattern for each letter position in the triplets. By converting the letters into their numerical positions in the English alphabet where A = 1, B = 2, ..., and Z = 26, the logic can be determined.

For the first letter of each triplet, the pattern is an increment of +3. The sequence is H(8), K(11), N(14), Q(17), and T(20). Following this, the next letter is 20 + 3 = 23, which corresponds to W.

For the second letter of each triplet, the pattern is a decrement of -4. The sequence is P(16), L(12), H(8), D(4), and Z(26). Note that D(4) minus 4 results in 0, which cycles back to Z(26). Continuing the pattern, 26 - 4 = 22, which corresponds to V.

For the third letter of each triplet, the pattern is an increment of +5. The sequence is L(12), Q(17), V(22), A(1), and F(6). Here, V(22) plus 5 equals 27, which cycles back to A(1). Applying the increment to F(6), we get 6 + 5 = 11, which corresponds to K.

Combining these results, the next term in the series is WVK.

Explanation

The numbers in each set follow an arithmetic progression with a common difference of 5.5. The relationship is defined as n₂ = n₁ + 5.5 and n₃ = n₂ + 5.5.

In the first set (11, 16.5, 22): 11 + 5.5 = 16.5 16.5 + 5.5 = 22

In the second set (14.5, 20, 25.5): 14.5 + 5.5 = 20 20 + 5.5 = 25.5

Following this logic for the set (18, 23.5, 29): 18 + 5.5 = 23.5 23.5 + 5.5 = 29

Explanation

The relationship in the given pair is that of a sports trophy and the specific sport it is associated with. The Duleep Trophy is a premier domestic first-class cricket competition in India, named after Kumar Shri Duleepsinhji. Similarly, the Agha Khan Cup is one of the most prestigious and oldest hockey tournaments in India, established in 1896 and held annually in Mumbai. This matches the trophy-to-sport pattern established in the question.

Explanation

The coding language follows a rule where consonants are shifted two positions backward and vowels are shifted one position backward in the English alphabet.

For the word BOOK: B is a consonant: 2 - 2 = 26 which is Z. O is a vowel: 15 - 1 = 14 which is N. O is a vowel: 15 - 1 = 14 which is N. K is a consonant: 11 - 2 = 9 which is I. This results in the code ZNNI.

For the word SHOP: S is a consonant: 19 - 2 = 17 which is Q. H is a consonant: 8 - 2 = 6 which is F. O is a vowel: 15 - 1 = 14 which is N. P is a consonant: 16 - 2 = 14 which is N. The provided code QFN likely represents the first three letters of this sequence.

Applying the same pattern to the word NOTES: N is a consonant: 14 - 2 = 12 which corresponds to L. O is a vowel: 15 - 1 = 14 which corresponds to N. T is a consonant: 20 - 2 = 18 which corresponds to R. E is a vowel: 5 - 1 = 4 which corresponds to D. S is a consonant: 19 - 2 = 17 which corresponds to Q.

Combining these transformed letters yields the code LNRDQ.

Explanation

In the given sets, the sequence of numbers follows a specific pattern based on the first number n₁. The operations are: The second number is n₂ = n₁ + 2. The third number is n₃ = n₁ - 2 (equivalent to n₂ - 4). The fourth number is n₄ = 2n₁ - 5.

For the first set (10- 12- 8- 15): 12 = 10 + 2 8 = 10 - 2 15 = 2(10) - 5

For the second set (12- 14- 10- 19): 14 = 12 + 2 10 = 12 - 2 19 = 2(12) - 5

In option a (11- 13- 9- 17), the same operations are performed: 13 = 11 + 2 9 = 11 - 2 17 = 2(11) - 5

These calculations confirm that the set in option a follows the exact mathematical logic established by the provided examples.

Explanation

To solve the equation, the signs are interchanged based on the rules of the problem. Specifically, the addition sign + and the subtraction sign - are interchanged, and the division sign ÷ and the multiplication sign × are interchanged. Applying these changes to the given expression 16 ÷ 4 + 8 × 8 - 4 results in the new expression 16 × 4 - 8 ÷ 8 + 4. Following the BODMAS rule, division is performed first, giving 8 ÷ 8 = 1. This is followed by multiplication, where 16 × 4 = 64. The expression simplifies to 64 - 1 + 4. Finally, performing addition and subtraction yields 64 - 1 + 4 = 63 + 4 = 67.

Explanation

The given series consists of the squares of consecutive even numbers starting from 4. The terms are as follows:

4² = 16 6² = 36 8² = 64

Following this pattern of squaring consecutive even numbers, the next two terms in the sequence are:

10² = 100 12² = 144

The remaining terms in the series confirm this pattern:

14² = 196 16² = 256 18² = 324

Therefore, the missing numbers that replace the question marks are 100 and 144.

Explanation

From the given statements, we know that Some postcards are books and All books are novels. Since every book is classified as a novel, any postcard that is a book must also be a novel. This confirms that the intersection between postcards and novels is non-empty, making Conclusion I logically certain. Regarding Conclusion II, although All cards are postcards and Some postcards are books, there is no information establishing a relationship between cards and books; they may or may not overlap, so a negative assertion cannot be proven. For Conclusion III, while cards are a subset of postcards, there is no logical link requiring cards to be contained within the set of novels. Thus, only the first conclusion follows from the premises.

Explanation

Following the rules for the word STAMINA, the consonants S, T, M, and N are replaced by their succeeding letters T, U, N, and O, respectively. The vowels A, I, and A are replaced by their preceding letters Z, H, and Z, respectively.

The new sequence of letters formed is T U Z N H O Z. The fourth letter from the left in this sequence is N. The third letter from the right in this sequence is H.

In the English alphabetical order, the letter H is at the 8th position and N is at the 14th position. The number of letters between them is calculated using the formula (14 - 8) - 1 = 5. These five letters are I, J, K, L, and M.

Explanation

The letter-cluster ACG follows a positional difference pattern of +2 and +4 based on English alphabetical order. Using the numerical positions where A = 1, C = 3, and G = 7, the increment from A to C is 2 (3 - 1 = 2) and the increment from C to G is 4 (7 - 3 = 4). This cluster is the odd one out because it deviates from the uniform group logic, which follows a (+3, +4) progression. Specifically, the increment between the first and second letters in ACG is 2, rather than the 3 required by the pattern shared by the other members of the group.