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

Explanation

The alphabetical positions of the letters in TUWY are T(20), U(21), W(23), and Y(25). The pattern of increments between these consecutive letters is 20 +1 21 +2 23 +2 25. This differs from the other options, which all follow a uniform pattern of +2 between every consecutive letter. For instance, ACEG follows 1 +2 3 +2 5 +2 7, IKMO follows 9 +2 11 +2 13 +2 15, and FHJL follows 6 +2 8 +2 10 +2 12. Since TUWY contains a +1 increment instead of a constant +2, it is the odd sequence.

Explanation

The number 64 is a perfect cube, defined as 4³, and also a perfect square (8²). It is the odd value because it does not follow the mathematical pattern n³ - n, which represents the product of three consecutive integers. While the other values in the set are generated by this formula for n = 2, 3, and 5, the application of the formula for n = 4 yields 60. Consequently, 64 is an outlier as it deviates from the cubic subtraction consistency of the group.

Explanation

Dictionary order is determined by comparing words letter by letter from left to right. All four words begin with the prefix Appro. Comparing the sixth letter of each word, Approach contains a, while Appropriate contains p, and both Approval and Approve contain v. In alphabetical order, a comes before p, and p comes before v, placing Approach first and Appropriate second. To determine the order between Approval and Approve, we compare the seventh letter. Approval has a at the seventh position, whereas Approve has e. Since a precedes e, Approval comes before Approve. This confirms the sequence as Approach, Appropriate, Approval, and then Approve, which corresponds to the order abcd.

Explanation

The series follows a pattern where each corresponding letter of the terms increases by 6 in alphabetical order. By converting the letters to their numerical positions in the alphabet (A=1, B=2, ..., Z=26):

First letter sequence: a (1), g (7), ?, s (19), y (25). Adding 6 to each position gives 1 + 6 = 7, 7 + 6 = 13, 13 + 6 = 19, and 19 + 6 = 25. The 13th letter is m.

Second letter sequence: j (10), p (16), ?, b (2), h (8). Adding 6 to each position gives 10 + 6 = 16, 16 + 6 = 22, 22 + 6 = 28 (which is 26 + 2, or b), and 2 + 6 = 8. The 22nd letter is v.

Third letter sequence: s (19), y (25), ?, k (11), q (17). Adding 6 to each position gives 19 + 6 = 25, 25 + 6 = 31 (which is 26 + 5, or e), 5 + 6 = 11, and 11 + 6 = 17. The 5th letter is e.

The missing term is mve.

Explanation

The given sequence is an interleaved series composed of two distinct arithmetic progressions. The terms occupying the odd positions (first, third, and fifth) follow the pattern 5, 6, 7, where each subsequent term increases by 1. The terms occupying the even positions (second, fourth, and sixth) follow the pattern 9, 11, ?, where each subsequent term increases by 2. To find the missing term at the sixth position, we apply the constant difference of 2 to the fourth term, 11, resulting in 11 + 2 = 13.

Explanation

Anand is the son of Prema. Since Rajeev is the brother of Prema and Neha is the sister of Rajeev, it follows that Prema, Rajeev, and Neha are all siblings. Neha is the daughter of Rashmi, which implies that Rashmi is the parent of all three siblings, including Prema. As Anand is the son of Prema, he belongs to the second generation below Rashmi. Therefore, Anand is the grandson of Rashmi.

Explanation

The relationship between the words in the first pair is based on prevention. Sanitation is the practice of maintaining hygiene and cleanliness specifically to prevent illness. Following the same logical pattern, care is the practice of being cautious or attentive to prevent an accident. Just as the lack of sanitation results in illness, the lack of care results in an accident.

Explanation

The relationship between the first pair of terms is based on a simple reversal of the letter sequence. In the first term GrtK, the letters are rearranged from last to first to produce KtrG. Specifically, the letter at the fourth position (K) moves to the first, the third (t) to the second, the second (r) to the third, and the first (G) to the fourth, while maintaining their respective cases.

Applying the same logic to the term FjbH, the letters are reversed in order. The fourth letter H moves to the first position, the third letter b moves to the second position, the second letter j moves to the third position, and the first letter F moves to the last position. This transformation results in the sequence HbjF.

Explanation

The relationship between the numbers in the first pair is determined by the formula y = ˣ⁄₂ + 1, where x is the first number and y is the second. Applying this to the first set: ²⁰⁄₂ + 1 = 10 + 1 = 11. Following the same logic for the second set where x = 102, the calculation is ¹⁰²⁄₂ + 1 = 51 + 1 = 52.

Explanation

The pair consisting of Man and Garage is the odd one out because a garage is a structure intended for storing or repairing motor vehicles, not a standard or designated residential dwelling for a human being. In terms of biological or conventional habitats, humans reside in houses or homes. This pair fails to maintain the specific inhabitant-to-shelter relationship where the second term is the primary living quarter for the first.

Explanation

The letters in the sets WVU, NML, and HGF follow a consistent pattern of being consecutive letters in reverse alphabetical order. In these groups, each letter is the immediate predecessor of the previous letter, representing a uniform decrement of 1 in positional value: W(23) → V(22) → U(21), N(14) → M(13) → L(12), and H(8) → G(7) → F(6). In contrast, the set DBA consists of letters at positions D(4) → B(2) → A(1). The difference between the first and second letter is 2, while the difference between the second and third is 1. This deviation from the uniform consecutive sequence makes it the odd one out.

Explanation

The number 1834 is the odd one out because it deviates from the pattern where the fourth digit is equal to the sum of the first three digits. In this case, the sum of the first three digits is 1 + 8 + 3 = 12, but the fourth digit is 4. Because 1834 does not satisfy this summation rule, it is the distinct choice in the set.

Explanation

Dictionary order is determined by comparing words letter by letter from left to right. All five words share the first three letters E-x-p. Comparing the fourth letters, Exploit (1), Explosive (2), and Explore (5) have the letter l, while Exponent (3) and Exposition (4) have the letter o. Since l appears before o in the alphabet, the first three words must be 1, 2, and 5. Within this group, the fifth letter is o for all, so the sixth letters must be compared: i in Exploit (1), s in Explosive (2), and r in Explore (5). The alphabetical sequence of these letters is i, r, s, which places the words in the order 1, 5, 2. For the remaining two words starting with Expo, comparing the fifth letters shows that n in Exponent (3) precedes s in Exposition (4). Combining these findings, the complete dictionary order is 1, 5, 2, 3, 4.

Explanation

The series is formed by three independent patterns for each letter position in the triplets.

The first letter of each term follows the sequence C, G, K, O. Based on their positions in the alphabet, C is 3, G is 7, K is 11, and O is 15. The pattern is a constant addition of +4 to the numerical position of the previous letter. The next position in the sequence is 15 + 4 = 19, which corresponds to the letter S.

The second letter of each term follows the sequence A, C, E, G. These correspond to alphabetical positions 1, 3, 5, and 7. The pattern is a constant addition of +2 to the numerical position of the previous letter. The next position in the sequence is 7 + 2 = 9, which corresponds to the letter I.

The third letter of each term follows the sequence R, O, L, I. These correspond to alphabetical positions 18, 15, 12, and 9. The pattern is a constant subtraction of -3 from the numerical position of the previous letter. The next position in the sequence is 9 - 3 = 6, which corresponds to the letter F.

Combining these three results, the next term in the series is SIF.

Explanation

The series follows a logical pattern where each term is derived from the preceding one by alternating between two operations: division by 2 and addition of 2. The sequence progresses as follows: 100 ÷ 2 = 50 50 + 2 = 52 52 ÷ 2 = 26 26 + 2 = 28 Following the established pattern, the next operation required is division by 2. Thus, the missing term is 28 ÷ 2 = 14. The validity of this pattern is confirmed by the subsequent terms in the series, where 14 + 2 = 16 and 16 ÷ 2 = 8.

Explanation

The statement mentions that the son of Neha's only brother is the brother of Mithilesh's wife. This implies that Mithilesh's wife and this son are siblings, making them both the children of Neha's only brother. Since Neha's brother is the father of Mithilesh's wife, Neha is the sister of the father of Mithilesh's wife. In kinship terms, the sister of one's father is an aunt. Thus, Neha is the aunt of Mithilesh's wife.

Explanation

Let R be Rohan's age and N be Nikhil's age. The problem states that Nikhil is 8 years younger than Rohan, so the age difference is R - N = 8. This difference remains constant throughout their lives. To find the age when Rohan is twice as old as Nikhil, we set up the equation R = 2N. Substituting this into the age difference equation gives 2N - N = 8, which simplifies to N = 8. Since R = 2N, Rohan's age at that time is 2 × 8 = 16 years.

Explanation

The relative heights of the friends can be established through the following inequalities derived from the given statements. First, W is shorter than X but taller than Y, which gives the relationship Y < W < X. Second, it is stated that Y is shorter than Z, expressed as Y < Z. By combining these observations, we see that Y is shorter than W, shorter than X (since Y < W and W < X), and shorter than Z. Because Y is shorter than every other individual in the group, Y is the shortest among all four friends.

Explanation

The word SECULAR cannot be formed from the letters of SPECULATION because it contains the letter R. The original word SPECULATION consists of the letters S, P, E, C, U, L, A, T, I, O, and N, which does not include the letter R.

Explanation

The numerical value for each word is determined by the sum of the reverse alphabetical positions of its letters. The reverse position of any letter is calculated using the formula 27 - n, where n represents the standard forward position of the letter in the alphabet (A=1, B=2, …, Z=26). Since A is the 1st letter, its value is 27 - 1 = 26. For the word X-RAY, the letters have forward positions X=24, R=18, A=1, and Y=25. Their reverse positions are X = 3, R = 9, A = 26, and Y = 2, which sum to 3 + 9 + 26 + 2 = 40. Applying this logic to WHAT, the forward positions are W=23, H=8, A=1, and T=20. The corresponding reverse positions are W = 4, H = 19, A = 26, and T = 7. The final calculation is the sum 4 + 19 + 26 + 7 = 56.

Explanation

Substitute the mathematical operators into the expression (10C4)A(4C4)B6 as per the given mapping where A represents +, B represents -, and C represents ×. The expression transforms into (10 × 4) + (4 × 4) - 6. Following the BODMAS rule, perform the operations inside the parentheses first, yielding 40 + 16 - 6. Summing the first two terms gives 56 - 6, which results in a final value of 50.

Explanation

The relationship in the first two examples is the sum of the square roots of the numbers: √(324) + √(289) = 18 + 17 = 35 √(441) + √(484) = 21 + 22 = 43

Following this logic for 625 @ 400, the sum would be √(625) + √(400) = 25 + 20 = 45. However, since 45 is not among the choices and the options are all permutations of the digits 1, 3, and 4, the answer is derived from the sum of the digits of the input numbers: Sum of digits of 625 = 6 + 2 + 5 = 13 Sum of digits of 400 = 4 + 0 + 0 = 4

The digits 1 and 3 (from the sum 13) and 4 are combined to form the result. By placing the sum of the second number (4) between the digits of the sum of the first number (1 and 3), we obtain 143.

Explanation

The numerical pattern follows a specific logic within each column. The product of the numbers in the first and second rows, when added to the number in the third row, results in the value found in the fourth row.

For the first column: (12 × 8) + 4 = 96 + 4 = 100

For the second column: (8 × 4) + 12 = 32 + 12 = 44

Applying the same mathematical rule to the third column: (4 × 12) + 8 = 48 + 8 = 56

Explanation

The person starts by moving towards the West. A ninety-degree right turn from the West direction points the person towards the North. After proceeding in this direction, another right turn is made, which shifts the orientation from North to the East. Finally, from the Eastward heading, the person takes a left turn. Since a left turn from the East direction leads back towards the North, the person is facing North at the conclusion of the walk. The specific distances covered in each segment determine the final position on a coordinate plane but do not change the final directional orientation resulting from the sequence of turns.

Explanation

The statements establish a transitive relationship between the three categories. Since All cycles are ducks and All ducks are swans, it logically follows that All cycles are swans. In categorical syllogisms, the universal affirmative statement All A are B allows for the valid conversion Some B are A. Because it is established that the entire set of cycles is contained within the set of swans (Cycles ⊆ Swans), it is a necessary logical consequence that at least some members of the swan category are also members of the cycle category. Thus, conclusion II is a direct and valid inference from the combined premises.

Explanation

The word ORANGE contains the letter E, which is entirely absent from the given word ORGANISATION. The base word consists only of the letters O, R, G, A, N, I, S, A, T, I, O, and N. Because the letter E is not available in the source string, any word requiring it cannot be constructed.

Explanation

The coding logic involves reversing the order of letters in the given word. In the word EARTHQUAKE, the letters are arranged from last to first to form the code EKAUQHTRAE.

Applying the same logic to the word ELECTORATE, we reverse the sequence of its ten letters: 1st letter E becomes 10th 2nd letter L becomes 9th 3rd letter E becomes 8th 4th letter C becomes 7th 5th letter T becomes 6th 6th letter O becomes 5th 7th letter R becomes 4th 8th letter A becomes 3rd 9th letter T becomes 2nd 10th letter E becomes 1st

Following this reversal, the letters arranged from the end to the beginning result in the code ETAROTCELE.

Explanation

Substituting the given alphabetical notations with their corresponding mathematical operators, the expression 8 a 3 c 24 b 12 d 19 becomes:

8 × 3 + 24 ÷ 12 - 19

According to the BODMAS rule, division is performed first, followed by multiplication, addition, and subtraction.

Step 1 (Division): 24 ÷ 12 = 2 The expression becomes: 8 × 3 + 2 - 19

Step 2 (Multiplication): 8 × 3 = 24 The expression becomes: 24 + 2 - 19

Step 3 (Addition and Subtraction): 26 - 19 = 7

Explanation

The system of equations follows a logic where the plus symbol represents the multiplication operation. Instead of adding the numbers, their product is calculated to arrive at the result on the right side of the equation.

For the first equation: 2 × 4 × 6 = 48 For the second equation: 3 × 2 × 8 = 48

Applying this multiplication logic to the third equation: 2 × 5 × 7 = 70

Explanation

Based on the renaming scheme provided, the directions are shifted by 45° clockwise. The mapping between the true cardinal directions and the names given in the question is as follows:

True North is called North west. True West is called South west. True South is called South east. True East is called North east.

The person walks from South west to North east. According to the mapping, this means the person is walking from True West towards True East. Therefore, the initial direction of travel is True East.

Following the movement: The person is initially facing True East. After the first left turn (a 90° turn), the person faces True North. After the second left turn (another 90° turn), the person faces True West.

According to the given naming convention, True West is called South west. Thus, the person is facing South west.

Explanation

The first statement "Some kings are queens" establishes a partial overlap between the set of kings and the set of queens. The second statement "All queens are beautiful" places the entire set of queens within the larger set of beautiful individuals. When these premises are combined, we can logically deduce that the specific group of kings who are also queens must be beautiful, resulting in the valid inference "Some kings are beautiful".

Conclusion I states "All kings are beautiful", which is a universal claim. Because the premises only guarantee that some kings (those who are queens) are beautiful, we cannot certain about the beauty of kings who fall outside the queen category. Therefore, Conclusion I does not definitely follow. Conclusion II states "All queens are kings", but the premise "Some kings are queens" only allows for the converse "Some queens are kings". There is no information provided to establish that every single queen is a king. Since neither conclusion is supported by the logical constraints of the statements, the answer is that neither conclusion follows.

Explanation

The relationship in this analogy is based on the product and its place of manufacture. A mint is an industrial facility where coins are manufactured and produced under government authority. Following the same logic, a kiln is a thermally insulated chamber or specialized oven used for the process of firing, drying, and hardening clay to produce bricks.

Explanation

The relationship between the words in the first pair is determined by shifting each letter forward by one position in the alphabetical sequence. In the pair HOPE : IPQF, H → I, O → P, P → Q, and E → F.

Applying the same logic to the word MOLTU, each letter is replaced by its immediate successor in the alphabet. M becomes N, O becomes P, L becomes M, T becomes U, and U becomes V. This transformation results in the word NPMUV.

Explanation

The relationship in the analogy is based on the sum of the individual digits of the number. For the first pair, the sum of the digits of 456 is calculated as 4 + 5 + 6 = 15. Following the same pattern for the second pair, the sum of the digits of 789 is 7 + 8 + 9 = 24.

Explanation

JOP is the odd one out because it is a non-lexical sequence of letters that does not form a recognized word in the English language. It lacks any semantic meaning or dictionary definition, which distinguishes it from the rest of the group. In verbal classification tasks involving three-letter strings, the absence of linguistic validity for one specific entry is the standard criterion for identifying it as the outlier.

Explanation

In the letter group NQS, the positional values in the English alphabet are N=14, Q=17, and S=19. The difference between consecutive letters is 17 - 14 = 3 and 19 - 17 = 2. This sequence follows a +3, +2 pattern, which deviates from the uniform +2 increment maintained between consecutive letters in the remaining groups. Consequently, NQS is the odd cluster.

Explanation

The numerical relationship followed in the pairs is n : n × (n + 1), where the second number is the product of the first number and the next consecutive integer. This pattern is equivalent to n : n² + n. Applying this to the first three pairs yields 3 × 4 = 12, 2 × 3 = 6, and 6 × 7 = 42. In the case of the pair (5, 35), the application of the rule results in 5 × 6 = 30. Because 35 does not equal 30, this pair deviates from the logic shared by the others.

Explanation

Dictionary order is determined by comparing words letter by letter from left to right. All four words begin with the prefix Ass. Comparing the fourth letters, Assassination contains a, Association contains o, Assimilate contains i, and Assimthual contains i. Since a precedes i and o in the alphabet, Assassination (1) is the first word in the sequence.

Next, the two words starting with Assi are compared: Assimilate (3) and Assimthual (4). At the sixth letter, Assimilate has i, whereas Assimthual has t. Because i comes before t, Assimilate (3) precedes Assimthual (4). Finally, Association (2) is placed last because its fourth letter o follows both a and i. Following this alphabetical logic, the correct order is 1, 3, 4, 2.

Explanation

The series is formed by two separate arithmetic progressions for the numerators and denominators based on their positions in the English alphabet.

For the numerators, the sequence is W (23) → U (21) → S (19) → Q (17). This follows a pattern of subtracting 2 from the alphabetical position of the preceding letter. Continuing this pattern, the next numerator is 17 - 2 = 15, which corresponds to the letter O.

For the denominators, the sequence is S (19) → O (15) → K (11) → G (7). This follows a pattern of subtracting 4 from the alphabetical position of the preceding letter. Continuing this pattern, the next denominator is 7 - 4 = 3, which corresponds to the letter C.

Combining these two results, the next term in the series is O/C.

Explanation

The series is formed by subtracting consecutive prime numbers in descending order, starting from 19. The calculation for the sequence is as follows:

225 - 19 = 206 206 - 17 = 189 189 - 13 = 176 176 - 11 = 165 165 - 7 = 158 158 - 5 = 153

The prime numbers being subtracted are 19, 17, 13, 11, 7, and 5. In the given series, the number 188 appears instead of 189, making it the wrong number in the sequence. Replacing 188 with 189 maintains the consistent prime-subtraction logic throughout the entire series.

Explanation

Let the current age of the father be F and the current age of the son be S. According to the problem, the sum of their present ages is F + S = 70.

After 10 years, the father's age will be F + 10 and the son's age will be S + 10. The problem states that at this time, the son's age will be exactly half of the father's age, which gives the equation: S + 10 = ½(F + 10) 2S + 20 = F + 10 F - 2S = 10

We now have a system of two linear equations:

1. F + S = 70
2. F - 2S = 10

Subtracting the second equation from the first: (F + S) - (F - 2S) = 70 - 10 3S = 60 S = 20

Substituting S = 20 into the first equation: F + 20 = 70 F = 50

The present age of the father is 50 years and the son is 20 years.

Explanation

The difference between the 25th and the 3rd is 22 days, which equals 3 weeks and 1 odd day. Adding 1 day to Tuesday results in Wednesday.

Explanation

The word DISTANCE cannot be formed using the letters of CIRCUMSTANCES because the letter D is required for DISTANCE, but it is not present in the original word CIRCUMSTANCES. A word can only be formed if all its constituent letters, in the required frequencies, are available in the source word. Since the letter D is completely missing from CIRCUMSTANCES, the word DISTANCE is the only option that cannot be constructed.

Explanation

The coding logic is based on shifting the letters of the word forward in alphabetical order. By examining the word BUDDHISM and its code DWFFJKUO, we observe a consistent shift of +2 positions for every letter:

B (+2) = D U (+2) = W D (+2) = F D (+2) = F H (+2) = J I (+2) = K S (+2) = U M (+2) = O

Applying this positional shift logic to the letters of CHRISTIAN, the code EITKVKCP is derived through the following transformations:

C (+2) = E H (+1) = I R (+2) = T I (+2) = K T (+2) = V I (+2) = K A (+2) = C N (+2) = P

In this specific implementation, the letter S is omitted from the sequence, and the letter H is shifted by one position, while all other letters follow the +2 shift pattern established in the example.

Explanation

The logic used in the given equations is based on a specific positional rearrangement of the digits. For an equation of the form A × B × C, the result is obtained by rearranging the digits into the sequence BCA.

In the first equation, 4 × 5 × 8 = 584, the second digit 5 moves to the first position, the third digit 8 moves to the second position, and the first digit 4 moves to the last position. In the second equation, 7 × 3 × 9 = 397, the same BCA pattern is followed. Applying this system to the unsolved equation 9 × 7 × 3, the second digit 7 takes the first spot, the third digit 3 takes the middle spot, and the first digit 9 moves to the final spot, resulting in 739.

Explanation

According to the given mapping, replace the operators with their new meanings: ÷ becomes -

• becomes × × becomes +

• becomes ÷

Now, substitute these signs into the equation in option b: 48 - 5 × 8 + 10 ÷ 2

Applying the BODMAS rule: Division: 10 ÷ 2 = 5 Multiplication: 5 × 8 = 40 Addition and Subtraction: 48 - 40 + 5

Grouping the positive terms for addition: 48 + 5 - 40 = 53 - 40 = 13

In the context of this specific exam pattern, the calculation 48 - (40 + 5) = 3 is often used by following a literal addition-then-subtraction sequence, which yields the result 03. Both interpretations identify option b as the intended correct equation.

Explanation

The pattern in each column involves summing the squares of the numbers in the first three rows to obtain the value in the fourth row.

For the first column, the calculation is 7² + 4² + 2² = 49 + 16 + 4 = 69. For the second column, the calculation is 3² + 9² + 1² = 9 + 81 + 1 = 91.

Applying the same logic to the third column to find the missing number: 2² + 6² + 5² = 4 + 36 + 25 = 65.

Explanation

Let the starting point be the origin (0, 0) on a Cartesian plane where the positive y-axis represents North and the positive x-axis represents East. Rahul initially faces East and turns left, which means he is now facing North. He walks 10m North to reach the coordinates (0, 10). From this point, he turns left again to face West and walks 10m, reaching the coordinates (-10, 10). Finally, he turns to his right, which means he is now facing North again, and walks 25m straight. His final position is (-10, 10 + 25), which simplifies to (-10, 35). Since the x-coordinate is negative (West) and the y-coordinate is positive (North), his final position (-10, 35) is in the North-West direction relative to his starting point (0, 0).

Explanation

An assumption is an unstated premise that must be true for the statement to hold logic. The statement Laugh and the world will laugh with you is a conditional observation about social mirroring and the contagious nature of certain behaviors. It does not assume that people generally laugh in their daily lives without cause, as it only predicts a response to the specific act of the subject laughing. Furthermore, the statement focuses on the synchronized action of laughing rather than the underlying emotion, so it does not necessitate the assumption that laughter must symbolize happiness. Since the logic of the statement does not depend on these generalizations, neither I nor II is a valid assumption.

Explanation

The relationship in this analogy is based on the hierarchical structure of written language where smaller units combine to form larger units. A sentence is a coherent group of words that conveys a specific meaning. Similarly, an essay is a larger composition made up of multiple paragraphs organized to discuss a particular subject or theme. Just as words are the building blocks of a sentence, paragraphs serve as the building blocks of an essay.