SSC CGL Tier 1 2016 General Intelligence & Reasoning Questions with Solutions

Explanation

The relationship in this analogy is based on the concept of opposite letters in the English alphabet, where the sum of the numerical positions of two corresponding letters is 27. For any letter with position n, its opposite letter is at position 27 - n.

Applying this rule to the string IJKL: The letter I is the 9th letter. Its opposite is at position 27 - 9 = 18, which is R. The letter J is the 10th letter. Its opposite is at position 27 - 10 = 17, which is Q. The letter K is the 11th letter. Its opposite is at position 27 - 11 = 16, which is P. The letter L is the 12th letter. Its opposite is at position 27 - 12 = 15, which is O.

By mapping each letter of IJKL to its corresponding opposite letter in the alphabet, the resulting sequence is RQPO. This follows the same transformation logic used in the first pair of the analogy.

Explanation

The relationship between the first two numbers is determined by a constant difference. By calculating the difference between the first pair, we find 381 - 160 = 221. Applying this same logic to the second pair, we subtract 221 from the third number to find the missing value: 478 - 221 = 257.

Explanation

Affluent, Rich, and Well-to-do are synonyms used to describe a person or entity that possesses a great deal of money or wealth. Prestigious refers to having high status, reputation, or inspiring respect and admiration, which describes social standing rather than financial abundance.

Explanation

The letter groups follow a specific positional logic based on the English alphabet. For most of the alternatives, the second letter is determined by subtracting 2 from the position of the first letter, and the third letter is determined by adding 4 to the position of the second letter. This sequence corresponds to the formula n, n-2, and n+2. For instance, in OMQ, the positions are 15, 15-2=13 (M), and 13+4=17 (Q). In TRV, the positions are 20, 20-2=18 (R), and 18+4=22 (V). In VTX, the positions are 22, 22-2=20 (T), and 20+4=24 (X). The group TPR is the odd one out because it follows a different pattern where the second letter P (16) is 4 positions behind T (20), and the third letter R (18) is 2 positions ahead of P, resulting in a -4, +2 sequence.

Explanation

The pair 3-5 is the odd one because the difference between the two numbers is 2 (5 - 3 = 2). This deviates from the uniform pattern where the second number is exactly 3 units greater than the first, a rule followed by the other pairs in the group. This mathematical discrepancy identifies it as the outlier.

Explanation

To arrange words in dictionary order, we compare the letters of each word sequentially from left to right. All five words begin with the same first two letters, La. Comparing the third letter, we have Latent (t), Latitude (t), Lattice (t), Laugh (u), and Launch (u). Since t precedes u in the alphabet, the words starting with Lat come before those starting with Lau.

Among the Lat group, we compare the fourth letters: Latent (e), Latitude (i), and Lattice (t). Alphabetically, e comes first, then i, and then t. This establishes the first three words of the sequence as 4 (Latent), 5 (Latitude), and 3 (Lattice).

Among the Lau group, we compare the fourth letters: Laugh (g) and Launch (n). Since g precedes n in the alphabet, 2 (Laugh) comes before 1 (Launch). Combining these sequences results in the final dictionary order: 4, 5, 3, 2, 1.

Explanation

The given sequence can be broken down into individual series for each position in the 3-letter clusters. By identifying the pattern for each position, we can determine the next letters in the sequence.

First Letters: The first letters of the given terms are X (24), J (10), R (18), and O (15). This is an alternating series: The 1st, 3rd, and 5th terms follow the pattern: 24 (X) -6 18 (R) -6 12 (L). The 2nd and 4th terms follow the pattern: 10 (J) +5 15 (O). Following this alternating pattern, the first letter of the next term is 12, which is L.

Second Letters: The second letters are F (6), G (7), I (9), and L (12). The increments between these letters are increasing: 6 (F) +1 7 (G) +2 9 (I) +3 12 (L). Continuing this pattern, the next increment is +4: 12 (L) + 4 = 16 (P).

Third Letters: The third letters are B (2), D (4), G (7), and K (11). The increments between these letters also follow a logical progression: 2 (B) +2 4 (D) +3 7 (G) +4 11 (K). Continuing this pattern, the next increment is +5: 11 (K) + 5 = 16 (P).

Combining the determined letters (L, P, P) results in the term LPP.

Explanation

The series follows an increasing difference pattern where each term is obtained by adding a successive natural number to the previous term. The sequence of differences between the terms is 1, 2, 3, 4, 5.

The first term is 1. Adding 1 gives the second term: 1 + 1 = 2. Adding 2 gives the third term: 2 + 2 = 4. Adding 3 gives the fourth term: 4 + 3 = 7. Following this progression, adding 4 to the fourth term gives the missing fifth term: 7 + 4 = 11.

This result is verified by checking the transition to the final term provided in the series, where adding 5 to the calculated fifth term yields the sixth term: 11 + 5 = 16. The pattern of adding 1, 2, 3, 4, 5 is consistent throughout the sequence.

Explanation

Since X and Y are brothers and X is the brother of A, it follows that Y is also the brother of A. In a marital relationship between A and B, the brother of one spouse is recognized as the brother-in-law of the other spouse. Because Y is the brother of A, he is the brother-in-law of A's spouse, B.

Explanation

To determine the shortest person, we can represent the height relationships using inequality symbols:

From the first statement, A is shorter than B but taller than C: C < A < B. From the second statement, D is shorter than A but taller than C: C < D < A. From the third statement, E is shorter than B but taller than A: A < E < B.

By combining these inequalities, we can establish the complete height order: C < D < A < E < B

Comparing all individuals, C is shorter than D, D is shorter than A, A is shorter than E, and E is shorter than B. Therefore, C occupies the lowest position in the height hierarchy.

Explanation

The word DIRECTION contains the letter C, which is not present in the source word DISSERTATION. All other letters in DIRECTION are available, but the absence of this specific consonant makes it impossible to form the word.

Explanation

The numerical value of the word is determined by the sum of the positions of its letters in the standard English alphabet, where A = 1, B = 2, C = 3, and so on. For the word HEAR, the individual letter positions are H = 8, E = 5, A = 1, and R = 18. The total value is calculated as the sum of these positions: 8 + 5 + 1 + 18 = 32.

Explanation

The given letters are substituted with their corresponding mathematical operators: S is replaced by ×, R by ÷, Q by -, and P by +. The original expression 18S36R12Q6P7 converts to the numerical expression 18 × 36 ÷ 12 - 6 + 7. Following the BODMAS rule, the operations are performed in the order of division, multiplication, addition, and subtraction:

18 × (36 ÷ 12) - 6 + 7 = 18 × 3 - 6 + 7 = 54 - 6 + 7 = 48 + 7 = 55

Explanation

The pattern involves multiplying the individual digits of each number and then subtracting the products of the second and third numbers from the product of the first number.

For the first equation: (9 × 8) - (3 × 9) - (2 × 7) = 72 - 27 - 14 = 31

For the second equation: (8 × 7) - (3 × 8) - (3 × 4) = 56 - 24 - 12 = 20

Applying this logic to the unsolved equation: (7 × 9) - (2 × 5) - (1 × 2) = 63 - 10 - 2 = 51

Explanation

The numerical pattern in each row follows a specific mathematical relationship where the middle number is the product of the first number and the square root of the third number. This can be expressed by the formula RₙC₂ = RₙC₁ × √(Rₙ₎_C___₃, where R represents the row and C represents the column.

In the first row, the first number is 7 and the third number is 4. Applying the formula, we calculate 7 × √4 = 7 × 2 = 14, which is the middle value provided in the grid.

In the second row, the first number is 4 and the third number is 9. Applying the formula, we calculate 4 × √9 = 4 × 3 = 12, which matches the middle value in the second row.

To find the missing value in the third row, we use the first number, 6, and the middle number, 24. Setting up the equation 6 × √x = 24, we divide both sides by 6 to find that √x = 4. Squaring both sides of this equation results in x = 16.

Explanation

The total displacement can be calculated by tracking the movements on a coordinate plane starting at (0, 0). Rahul moves 30 metres south, reaching the point (0, -30). Turning right from a southward direction means moving west; walking 30 metres reaches the point (-30, -30). Turning left from a westward direction means moving south again; walking 20 metres reaches (-30, -50). Finally, turning left from a southward direction means moving east; walking 30 metres brings him to the point (0, -50). The net horizontal displacement is 30 - 30 = 0 metres, while the net vertical displacement is 30 + 20 = 50 metres in the southern direction. Using the distance formula between (0, 0) and (0, -50), the distance is √(0² + (-50)²) = 50 metres.

Explanation

Statement 2 states that some actors are women. In syllogistic logic, a particular affirmative proposition of the form Some A are B can be logically converted to Some B are A. This process of conversion maintains the truth value of the statement. Therefore, if the statement some actors are women is true, it is an immediate and necessary logical inference that some women are actors. This validates Conclusion III. The connection between teachers and women cannot be definitively established from the given premises because the middle term actors is not distributed in Statement 2, preventing a valid chain of logic between the two sets. Similarly, Statement 1 cannot be converted to All actors are teachers, as a universal affirmative proposition only supports a particular conversion. Consequently, only Conclusion III follows.

Explanation

The relationship established in the first pair is that of a sub-national administrative unit (state) and the country to which it belongs. Maharashtra is a major state located in the western region of India. Applying the same logic to the second pair, Texas is a well-known state located in the South Central region of the USA. Just as Maharashtra is a constituent part of the Indian Union, Texas is one of the 50 states that make up the United States of America.

Explanation

The relationship in the pair JK:QR is determined by the positional values of the letters in the English alphabet. J is the 10th letter and K is the 11th letter. In the second part of the ratio, Q is the 17th letter and R is the 18th letter. The difference between the corresponding letters is 17 - 10 = 7 and 18 - 11 = 7. This indicates that each letter in the second group is obtained by adding 7 to the position of the corresponding letter in the first group.

Applying this pattern to the pair BC:IJ, B is the 2nd letter and C is the 3rd letter. By adding 7 to each of these positions, we get 2 + 7 = 9 and 3 + 7 = 10. The 9th letter of the alphabet is I and the 10th letter is J. Since both pairs consist of consecutive letters and maintain a constant positional shift of +7, the relationship is consistent.

Explanation

The relationship between the numbers follows the pattern n(n + 1) : (n + 1)(n + 2). For the first pair, 72 can be expressed as 8 × 9, and 90 can be expressed as 9 × 10. In the second pair, 156 is calculated as 12 × 13. Following the same logical sequence, the missing number is calculated as 13 × 14 = 182.

Alternatively, the logic can be viewed as n² + n : (n + 1)² + (n + 1). For the first part, 8² + 8 = 72 and 9² + 9 = 90. For the second part, 12² + 12 = 156, which leads to the next number being 13² + 13 = 169 + 13 = 182.

Explanation

A sphere is a three-dimensional (3D) solid geometric figure characterized by having volume and surface area. In contrast, a square, rectangle, and circle are all two-dimensional (2D) plane figures that possess only length and width without any depth or thickness. The sphere is the only object in the group that exists in three-dimensional space, making it the odd one out.

Explanation

The pattern follows the difference between the numerical positions of the letters in the English alphabet. For the pairs AE (1, 5), CG (3, 7), and JN (10, 14), the difference between the second letter and the first letter is consistently 4, such as 5 - 1 = 4, 7 - 3 = 4, and 14 - 10 = 4. In the pair MO, the numerical positions are 13 and 15 respectively, and the difference is 15 - 13 = 2, which deviates from the established pattern.

Explanation

The numbers 14 and 26 are not divisible by 4. In the other pairs, both the first and second numbers are multiples of 4.

Explanation

To arrange the words in dictionary order, we compare them letter by letter from left to right. All four words share the same first three letters, Sti. Comparing the fourth letters, Stifle has f, Stilt has l, and both Stingy and Stink have n. Since f comes before l, and l comes before n in the alphabet, Stifle (2) is the first word and Stilt (1) is the second. To determine the order between the remaining two words, we look at the fifth letter. Stingy has g and Stink has k. Because g precedes k alphabetically, Stingy (4) comes before Stink (3). This results in the final sequence of 2, 1, 4, 3.

Explanation

The series follows a specific increment pattern in the alphabetical positions of each letter. For the first letter of each term, the positions are C (3), H (8), and M (13). The difference between consecutive first letters is +5. Following this logic, the next first letter is 13 + 5 = 18, which corresponds to the letter R. For the second letter of each term, the positions are L (12), Q (17), and V (22). The difference between consecutive second letters is also +5. The next second letter position is 22 + 5 = 27. Since the alphabet consists of 26 letters, the 27th position wraps around to the 1st position (27 - 26 = 1), which corresponds to the letter A. Combining these, the next term in the sequence is RA.

Explanation

The series follows a logical pattern of alternating increments of 2 and 4. Calculating the differences between successive terms reveals this sequence: 11 + 2 = 13 13 + 4 = 17 17 + 2 = 19 19 + 4 = 23 23 + 2 = 25 Continuing this alternating pattern, the next operation required is to add 4 to the current term. Applying this to the last number in the series, we get 25 + 4 = 29 .

Explanation

The relationship can be determined by breaking down the statement into segments. The woman's mother's brother is her maternal uncle. The father of her maternal uncle is her maternal grandfather. The son of her maternal grandfather is her maternal uncle. Finally, the son of her maternal uncle is her cousin. Since the man is the woman's cousin, the woman is also related to the man as his cousin.

Explanation

Ram leaves his house at 20 minutes to seven, which corresponds to 6:40 A.M. The journey to Kunal's house takes 25 minutes, meaning he arrives at 6:40 A.M. + 25 minutes = 7:05 A.M. They then spend 15 minutes having breakfast. Since they leave for their office immediately after finishing breakfast, the departure time from Kunal's house is 7:05 A.M. + 15 minutes = 7:20 A.M.

Explanation

The word LEGALIZATION consists of the letters L, E, G, A, I, Z, T, O, and N. The word ALERT requires the letter R to be formed. Since the letter R is not present in the word LEGALIZATION, ALERT cannot be constructed from the given letters.

Explanation

The coding logic follows a pattern where the word is divided into pairs of adjacent letters, and the letters within each pair are swapped. For the word DECEMBER, the letters are paired as (DE), (CE), (MB), and (ER). Swapping the positions within these pairs results in (ED), (EC), (BM), and (RE), which forms the code EDECBMRE.

Applying the same rule to the word FEBRUARY, we divide the word into four pairs: (FE), (BR), (UA), and (RY). Reversing the order of letters in each specific pair gives us EF, RB, AU, and YR. Concatenating these pairs in their original sequence yields the coded word EFRBAUYR.

Explanation

The pattern in the given series follows the mathematical logic (a × b) ÷ 2. In each case, the product of the two numbers is divided by 2 to reach the final value.

For 6 × 4 = 12, the calculation is (6 × 4) ÷ 2 = 24 ÷ 2 = 12. For 4 × 12 = 24, the calculation is (4 × 12) ÷ 2 = 48 ÷ 2 = 24. For 12 × 6 = 36, the calculation is (12 × 6) ÷ 2 = 72 ÷ 2 = 36.

Applying this same rule to 6 × 9: (6 × 9) ÷ 2 = 54 ÷ 2 = 27.

Explanation

According to the given instructions, the mathematical operators in the expression 8 × 7 - 8 + 40 ÷ 2 are replaced as follows: × becomes +, - becomes ×, + becomes ÷, and ÷ becomes -. This yields the modified expression: 8 + 7 × 8 ÷ 40 - 2

Following the BODMAS rule, the division is performed first: 8 ÷ 40 = ⁸⁄₄₀ = 0.2

Substituting this value back into the expression, we proceed with multiplication: 8 + 7 × 0.2 - 2 8 + 1.4 - 2

Finally, performing the addition and subtraction: 9.4 - 2 = 7.4

The value 7.4 can be expressed as the fraction ⁷⁴⁄₁₀, which simplifies to ³⁷⁄₅. This matches the numerical components of the second option.

Explanation

The logic followed in each column is that the sum of the first and third elements is equal to the sum of the second and fourth elements. This can be represented by the formula R1 + R3 = R2 + R4.

In the first column: 10 + 28 = 38 and 18 + 20 = 38. In the second column: 6 + 34 = 40 and 14 + 26 = 40. In the third column, let the missing number be x: 9 + x = 17 + 32 9 + x = 49 x = 49 - 9 = 40.

Alternatively, the difference between the second and first numbers in each column is a constant value of 8, which is identical to the difference between the third and fourth numbers (R2 - R1 = R3 - R4 = 8). In the third column, 17 - 9 = 8, and for the second pair, 40 - 32 = 8.

Explanation

The movement of Sunita can be analyzed by breaking the journey into directional vectors. She first travels 6 km towards the North-East and later moves 6 km towards the South-West. Because North-East and South-West are exactly opposite directions (45° and 225° respectively), these two movements of equal magnitude cancel each other out, returning her to the same East-West line as her starting point.

The remaining movements are entirely along the East-West axis. She travels 9 km towards the West and finally 3 km towards the East. Since West and East are opposite directions, the net displacement from the initial position is the difference between these two distances:

Net Distance = 9 km (West) - 3 km (East) = 6 km

Explanation

Conclusion I follows from the combination of Statement I and Statement II. In syllogistic logic, an I-type proposition (Some A are B) combined with an E-type proposition (No B is C) yields an O-type conclusion (Some A are not C). Since some bags are pockets and no pocket is a pouch, the specific bags that are pockets cannot be pouches, making the conclusion some bags are not pouches logically certain.

Conclusion II follows by immediate inference from Statement I. According to the rule of conversion for particular affirmative propositions, a statement of the form Some A are B can be converted into Some B are A. Therefore, if some bags are pockets, it is necessarily true that some pockets are bags. Since both conclusions are validly derived from the given statements, the correct choice is that both follow.

Explanation

The total number of students who play at least one of the two games is determined by subtracting the number of students who play neither game from the total group size. Given a group of 50 students where 8 play neither game, the number of students playing Hockey, Football, or both is 50 - 8 = 42.

Using the principle of inclusion-exclusion for two sets, the number of elements in the union of two sets H (Hockey) and F (Football) is given by the formula n(H ∪ F) = n(H) + n(F) - n(H ∩ F). Here, n(H) = 25 and n(F) = 30. Substituting the known values into the equation gives 42 = 25 + 30 - n(H ∩ F). Simplifying this results in 42 = 55 - n(H ∩ F). By rearranging the terms to solve for the number of students who play both games, we find n(H ∩ F) = 55 - 42 = 13.

Explanation

The analogy follows the relationship of Service : Recipient. Medicine is the treatment or resource provided to a Patient to improve their physical or mental wellbeing. Similarly, Education is the knowledge or academic instruction provided to a Student to facilitate their learning and intellectual development. In both pairs, the first term represents the service being delivered, while the second term represents the primary individual who receives and benefits from that service.

Explanation

The relationship between the words is a constant backward shift of 3 positions in the English alphabet for each letter.

For the word LAMP: L (12) - 3 = I (9) A (1) - 3 = 24 (X, using a cyclic shift: A → Z → Y → X) M (13) - 3 = J (10) P (16) - 3 = M (13)

Applying the same -3 shift to each letter of the word FISH: F (6) - 3 = C (3) I (9) - 3 = F (6) S (19) - 3 = P (16) H (8) - 3 = E (5)

The resulting letters are C, F, P, and E. Among the given alternatives, option c) contains these four letters.

Explanation

The logic followed in this analogy is to multiply the first number by 2 and then subtract 6 to obtain the second number. For the first pair, 13 × 2 = 26, and 26 - 6 = 20. Applying the same mathematical operation to the second pair, 17 × 2 = 34, and 34 - 6 = 28.

Explanation

The word ally refers to a person, group, or nation that is associated with another for a common cause or purpose, characterized by cooperation, support, and friendship. It signifies a relationship based on mutual help and being on the same side of a conflict or endeavor. This is the only term among the choices that describes a supporter or partner, whereas the others all denote individuals or entities that are in competition, opposition, or active hostility toward someone.

Explanation

The letter group FQMV is composed entirely of consonants and does not contain any vowels. This distinguishes it from the other letter groups in the set, each of which contains a single vowel located at the second position of the four-letter sequence. Specifically, the second character is a vowel in every other combination, whereas the second character in FQMV is the consonant Q.

Explanation

The classification of these number pairs is determined by the numerical difference between the two values. In the first three pairs, the absolute difference is constant: 48 - 36 = 12, 56 - 44 = 12, and 78 - 66 = 12. However, for the pair 33 - 64, the difference is 64 - 33 = 31. Because this pair does not share the common difference of 12 found in the other options, it is the odd one out. Furthermore, this is the only pair that includes an odd number, whereas all numbers in the other pairs are even.

Explanation

Dictionary order is determined by comparing characters from left to right according to the English alphabet. First, compare words starting with Amb (1, 2, 3) against those starting with Ani (4, 5). Since m comes before n, the Amb group precedes the Ani group. Within the Amb group, Ambiguity (3) and Ambiguous (2) share the first six letters Ambi-g-u; comparing the seventh letters, i comes before o, placing 3 before 2. Ambitions (1) follows these because its fifth letter t comes after g. For the Ani group, Animal (5) and Animation (4) share the first five letters Anim-a; the sixth letter l in Animal comes before the t in Animation, placing 5 before 4. Combining these alphabetical comparisons results in the sequence 3, 2, 1, 5, 4.

Explanation

The series follows a pattern where each term is derived by applying a specific rule to each character position.

For the first letter of each term: C, D, E. This follows a simple alphabetical progression where each letter is the immediate successor of the previous one (C → D → E). Following this logic, the first letter of the next term is E + 1 = F.

For the second letter of each term: A, B, C. This also follows a standard alphabetical progression (A → B → C). Therefore, the second letter of the next term is C + 1 = D.

For the third letter of each term: T, T, T. This letter remains constant across all terms in the series. Consequently, the third letter of the next term remains T.

Combining these sequential changes, the missing term is FDT.

Explanation

The series follows a logical pattern where each subsequent term is generated by multiplying the preceding term by 2 and then adding an incrementing integer starting from 1.

The mathematical progression is as follows: 5 × 2 + 1 = 11 11 × 2 + 2 = 24 24 × 2 + 3 = 51 51 × 2 + 4 = 106

To find the missing term, the same rule is applied to the last known number in the series by multiplying it by 2 and adding the next consecutive integer, which is 5: 106 × 2 + 5 = 212 + 5 = 217

Explanation

To determine the relationship, the statement is broken down from the perspective of the speaker, Rita. The phrase wife of my husband refers to Rita herself. Following this, the daughter of the wife of my husband is the daughter of Rita. Finally, the brother of the daughter of Rita is Rita's own son. Thus, the man on stage is Rita's son.

Explanation

Let the present age of Dr. Pandey's son be x. Based on the condition that Dr. Pandey is four times the age of his son, his present age is 4x. After 10 years, Dr. Pandey's age will be 4x + 10 and his son's age will be x + 10. The problem states that at this future point, Dr. Pandey's age will be twice his son's age. This relationship is expressed by the linear equation 4x + 10 = 2(x + 10). Expanding the brackets gives 4x + 10 = 2x + 20. Rearranging the terms to solve for x leads to 4x - 2x = 20 - 10, which simplifies to 2x = 10. Dividing by 2 yields x = 5.

Explanation

The word CANCEL cannot be formed from the letters of INTELLIGENCE because it contains the letter A, which is not present in the given word. Furthermore, the word CANCEL requires two occurrences of the letter C, whereas the source word INTELLIGENCE provides only a single instance of that letter. Since at least one required letter is missing from the original set, the word cannot be constructed.

Explanation

The coding logic is based on the sum of the numerical positions of each letter in the English alphabet, where A=1, B=2, C=3, and so on. For the word C, the position is simply 3. For the word DASH, the code is calculated by adding the positions of its constituent letters: 4 (D) + 1 (A) + 19 (S) + 8 (H) = 32. Applying the same logic to the word DANCE, the sum is 4 (D) + 1 (A) + 14 (N) + 3 (C) + 5 (E) = 27.

Explanation

The given expression is 15 - 3 + 10 × 5 ÷ 5. According to the instructions, the operators are replaced as follows: '-' becomes '×', '+' becomes '-', '×' becomes '÷', and '÷' becomes '+'.

Substituting these symbols into the expression, we get: 15 × 3 - 10 ÷ 5 + 5

Following the BODMAS rule, the operations are performed in the order of Division, Multiplication, Addition, and then Subtraction: First, perform the division: 10 ÷ 5 = 2. The expression becomes: 15 × 3 - 2 + 5. Next, perform the multiplication: 15 × 3 = 45. The expression becomes: 45 - 2 + 5. Finally, perform addition and subtraction: 45 + 5 - 2 = 50 - 2 = 48.