SSC CHSL Tier 1 2020 General Intelligence & Reasoning Questions with Solutions

Explanation

The logical sequence represents the increasing order of physical size and spatial inclusion of the given elements.

A room is the smallest individual living space. Multiple rooms constitute a flat. A flat is a single residential unit within a larger apartment building. An apartment building is located on a specific street. Finally, a street is a geographical subdivision of a town. This gives the logical progression of Room (3), Flat (1), Apartment (4), Street (2), and Town (5).

Explanation

In the alphabetical series, the letters in the correct choice TVW have alphabetical positions of 20, 22, and 23 respectively, which shows a difference pattern of +2 followed by +1. All other letter-clusters follow a uniform difference pattern of +2 and +2 between consecutive letters. This difference in the pattern makes TVW the odd one.

Explanation

Each letter is represented by its positional value in the English alphabetical order, where A = 1, B = 2, up to Z = 26. The code is determined by taking the sum of the positional values of the letters, multiplying this sum by 2, and then adding 2 to the result.

For N, the positional value is 14. The code is calculated as (14 × 2) + 2 = 30.

For COT, the positional values are C = 3, O = 15, and T = 20. The sum of these positions is 3 + 15 + 20 = 38. The code is calculated as (38 × 2) + 2 = 78.

Applying this same logic to PET, the positional values are P = 16, E = 5, and T = 20. The sum of these positions is 16 + 5 + 20 = 41. The code is calculated as (41 × 2) + 2 = 84.

Explanation

By representing the statements using Venn diagrams, we have two separate circles for beans and breads, both of which lie entirely inside a larger circle representing meat. Since there is no specified relationship or intersection between the circle for beans and the circle for breads, they can exist independently of each other without any overlap. Therefore, we cannot definitely conclude that some beans are breads, nor can we conclude that some breads are beans. Consequently, neither conclusion I nor conclusion II logically follows from the given statements.

Explanation

The relation between the numbers (a, b, c) in the set is given by the formula: b = 2 × (a² + c²)

For the given set (3, 68, 5): 2 × (3² + 5²) = 2 × (9 + 25) = 2 × 34 = 68

Similarly, for the set (2, 10, 1): 2 × (2² + 1²) = 2 × (4 + 1) = 2 × 5 = 10

Explanation

The percentage increase in the price of petrol is calculated using the standard formula:

Percentage Increase = ((New Price - Old Price) / Old Price) × 100

Substituting the given values: Old Price = ₹80 New Price = ₹85

Percentage Increase = ((85 - 80) / 80) × 100 = (5 / 80) × 100 = (1 / 16) × 100 = 6.25%

Explanation

The question is based on the analogy of a producer and its product (such as Cow:Milk). Similarly, a Hen produces an Egg, which perfectly represents the same relationship.

Explanation

The pattern followed by the letter-clusters is that the first and third letters are opposite pairs in alphabetical order, and the second and fourth letters are also opposite pairs. In TUGD, the first and third letters, T and G, are opposite pairs with alphabetical position sum equal to 27, but the second and fourth letters, U and D, are not opposite pairs as the opposite of U is F. Thus, it does not follow the general rule of the group.

Explanation

The coding pattern involves reversing the order of the letters of the given word and then shifting each letter forward by 2 positions in alphabetical order.

Applying this pattern to BROWSE: Reversing the word BROWSE gives ESWORB. Shifting each letter forward by 2 positions: E + 2 = G S + 2 = U W + 2 = Y O + 2 = Q R + 2 = T B + 2 = D This results in the code GUYQTD.

Applying the same logic to AMALGAM: Reversing the word AMALGAM gives MAGLAMA. Shifting each letter forward by 2 positions: M + 2 = O A + 2 = C G + 2 = I L + 2 = N A + 2 = C M + 2 = O A + 2 = C This results in the code OCINCOC.

Explanation

The relationship in the given number-pair is that the second number is the square of one less than the first number. This can be expressed as:

Second number = (First number - 1)²

For the pair 8:49, we have: (8 - 1)² = 7² = 49

Applying this same logic to the pair 12:121, we get: (12 - 1)² = 11² = 121

Explanation

The given equation to be balanced is 26 A 2 A 3 A 3 A 13.

Replacing the letters 'A' sequentially from left to right with the signs from option D (÷, ×, =, ×) yields: 26 ÷ 2 × 3 = 3 × 13

Applying the BODMAS rule, first perform the division on the left-hand side of the equation: 26 ÷ 2 = 13

Next, perform the multiplication on both sides: Left-hand side: 13 × 3 = 39 Right-hand side: 3 × 13 = 39

Since both sides are equal to 39, the equation is successfully balanced.

Explanation

The relationship in the first pair is between a physical quantity and its unit of measurement, as Joule is a unit of work. Applying the same logic to the second pair, hectare is a unit of measurement for area, where one hectare is equal to 10,000 square meters.

Explanation

The number 255 is an odd number and is not divisible by 4. The other numbers are even and perfectly divisible by 4:

268 ÷ 4 = 67 124 ÷ 4 = 31 212 ÷ 4 = 53

Explanation

Frisk refers to a physical action, meaning to skip or leap about playfully, or to search a person for concealed weapons. It is a verb of movement or inspection, unlike the other three words which all represent the characteristic vocal sounds made by animals.

Explanation

The relationship between the numbers in the set (7, 15, 31) is defined by multiplying each number by 2 and adding 1 to obtain the next number.

First step: 7 × 2 + 1 = 15 Second step: 15 × 2 + 1 = 31

The set (3, 7, 15) follows the exact same pattern: First step: 3 × 2 + 1 = 7 Second step: 7 × 2 + 1 = 15

Explanation

The relationship between the numbers in the given pair x:y follows the formula y = (x × 6) + 6.

Applying this relation to the given pair 34:210: 34 × 6 + 6 = 204 + 6 = 210

Applying the same relation to the first number in the pair 66:402: 66 × 6 + 6 = 396 + 6 = 402

Explanation

The standard pattern among the letter-clusters is that they consist of four consecutive letters of the English alphabet written in reverse order, where each letter has a positional difference of -1 from the preceding one.

In PONL, the alphabetical positions of the letters are P = 16, O = 15, N = 14, and L = 12. The difference between N and L is 2 (14 - 12 = 2), whereas all other clusters maintain a constant difference of 1 between each consecutive letter.

Explanation

Parul's father's only son refers to Parul's brother. The grandmother of Parul's brother is also Parul's grandmother. Therefore, Shikha is Parul's grandmother.

Explanation

The logic followed in the given triplet (9, 217, 8) is that the second number is equal to the sum of the square of the first number, the product of the first and third numbers, and the square of the third number.

Second number = (First number)² + (First number × Third number) + (Third number)²

For the triplet (9, 217, 8): 9² + (9 × 8) + 8² = 81 + 72 + 64 = 217

Applying this same relationship to the numbers 4, 37, and 3: 4² + (4 × 3) + 3² = 16 + 12 + 9 = 37

Explanation

By substituting the mathematical operators as per the given instructions: '×' is replaced by '-' '-' is replaced by '+' '÷' is replaced by '×' '+' is replaced by '÷'

The original expression: [((32 × 24) - (4 ÷ 3)) + (3 - 2)] ÷ 3

becomes: [((32 - 24) + (4 × 3)) ÷ (3 + 2)] × 3

Solving the expression using BODMAS rules: First, solve the terms inside the innermost parentheses: 32 - 24 = 8 4 × 3 = 12 3 + 2 = 5

Substitute these values back into the expression: [(8 + 12) ÷ 5] × 3

Next, solve the addition inside the bracket: 8 + 12 = 20

Substitute this value: [20 ÷ 5] × 3

Perform the division inside the bracket: 20 ÷ 5 = 4

Finally, perform the multiplication: 4 × 3 = 12

Explanation

Since A and Z are sisters, and B is the brother of Z, then A, Z, and B are siblings. Since X is the mother of A, X is the mother of all three siblings: A, Z, and B. It is given that R is the father of B. Because X is the mother of B and R is the father of B, X and R are married. Consequently, R is the husband of X.

Explanation

According to the first statement, the set of all parrots is entirely contained within the set of pigeons. The second statement establishes that there is no overlap between the set of pigeons and the set of tables. Since every parrot is a pigeon, and no pigeon can be a table, it is impossible for any parrot to be a table. This directly validates the conclusion that no parrot is a table.

Explanation

The series consists of pairs of letters where each letter follows a distinct arithmetic pattern based on its alphabetical position.

For the first letter of each term, the sequence is A, C, E, ?, I. The numerical positions of these letters in the English alphabet are 1, 3, 5, ?, 9. This forms an increasing arithmetic progression with a common difference of +2. The missing position is 5 + 2 = 7, which corresponds to the letter G.

For the second letter of each term, the sequence is Z, X, V, ?, R. The numerical positions of these letters in the English alphabet are 26, 24, 22, ?, 18. This forms a decreasing arithmetic progression with a common difference of -2. The missing position is 22 - 2 = 20, which corresponds to the letter T.

Combining these two results gives the term GT.

Explanation

The letters of the word are coded based on whether they are vowels or consonants.

For vowels (A, E, I, O, U), each is replaced by the next consecutive vowel in the alphabetical sequence: A becomes E E becomes I I becomes O O becomes U U becomes A

For consonants, each is shifted by one position forward (+1) in the English alphabet.

In the word EASY: E (vowel) is replaced by the next vowel, which is I. A (vowel) is replaced by the next vowel, which is E. S (consonant) is shifted (+1) to T. Y (consonant) is shifted (+1) to Z. This gives the code IETZ.

Applying the same rule to the word LAKE: L (consonant) is shifted (+1) to M. A (vowel) is replaced by the next vowel, which is E. K (consonant) is shifted (+1) to L. E (vowel) is replaced by the next vowel, which is I. This gives the code MELI.

Explanation

The pattern of the given series follows the recursive relation where each term is twice the preceding term plus two:

aₙ₊₁ = 2aₙ + 2

Applying this relation to find the successive terms:

First term = 7 Second term = 2 × 7 + 2 = 16 Third term = 2 × 16 + 2 = 34 Fourth term = 2 × 34 + 2 = 70 Fifth term = 2 × 70 + 2 = 142 Sixth term = 2 × 142 + 2 = 286

Alternatively, the differences between consecutive terms double with each step:

16 - 7 = 9 34 - 16 = 18 (which is 9 × 2) 70 - 34 = 36 (which is 18 × 2)

Following this pattern, the next differences are 72 (36 × 2) and 144 (72 × 2), which yield:

70 + 72 = 142 142 + 144 = 286

Explanation

The coding scheme is based on finding the sum of the reverse positional values of the letters (where A = 26, B = 25, ..., Z = 1, computed as 27 minus the forward alphabetical position) and multiplying this sum by 2.

For NIB: Reverse position of N = 27 - 14 = 13 Reverse position of I = 27 - 9 = 18 Reverse position of B = 27 - 2 = 25 Sum = 13 + 18 + 25 = 56 Coding = 56 × 2 = 112

For COB: Reverse position of C = 27 - 3 = 24 Reverse position of O = 27 - 15 = 12 Reverse position of B = 27 - 2 = 25 Sum = 24 + 12 + 25 = 61 Coding = 61 × 2 = 122

Applying this same logic to JET: Reverse position of J = 27 - 10 = 17 Reverse position of E = 27 - 5 = 22 Reverse position of T = 27 - 20 = 7 Sum = 17 + 22 + 7 = 46 Coding = 46 × 2 = 92

Explanation

The pattern followed by the other pairs is that the second number is the square of the first number plus 1, which is represented as x² + 1. For the pair 6- 35, the relation is 6² - 1 = 35, which deviates from this rule.

Explanation

The relation between the first and second letter-clusters is based on an alternating pattern of adding and subtracting 3 to the alphabetical positions of the letters.

For LAME to OXPB: L (12) + 3 = O (15) A (1) - 3 = X (24) M (13) + 3 = P (16) E (5) - 3 = B (2)

Applying this same logic to TREE: T (20) + 3 = W (23) R (18) - 3 = O (15) E (5) + 3 = H (8) E (5) - 3 = B (2)

Explanation

The logic followed in the given set of numbers (a, b, c) is: a² + b² = c

Applying this logic to the given set (5, 6, 61): 5² + 6² = 25 + 36 = 61

Similarly, for the set (3, 4, 25): 3² + 4² = 9 + 16 = 25

Explanation

The given pair represents a physical quantity and its standard unit of measurement, where Weight is measured in Kilograms. Similarly, Ohm is the SI unit of measurement for Resistance, establishing the exact same relationship of quantity and unit.

Explanation

Applying the interchanges of the signs ÷ and - and the numbers 15 and 5 to the equation 4 × 30 - 15 ÷ 5 + 12 = 21:

4 × 30 ÷ 5 - 15 + 12 = 21

Using the BODMAS rule, we first perform division: 4 × 6 - 15 + 12 = 21

Next, we perform multiplication: 24 - 15 + 12 = 21

Finally, we perform addition and subtraction: 9 + 12 = 21 21 = 21

Both sides of the equation are equal.

Explanation

To show that R is the paternal grandfather of S, R must be the father of S's father.

In the expression R ÷ J ÷ S × U: R ÷ J means R is the father of J. J ÷ S means J is the father of S. S × U means S is the wife of U.

Since R is the father of J and J is the father of S, J is S's father, and R is the father of S's father. Therefore, R is the paternal grandfather of S.

Explanation

The relation between the first and second number is based on multiplication by 3.5, which is equal to the fraction 7/2.

88 × 3.5 = 88 × 7/2 = 44 × 7 = 308

Applying the same logic to the third number:

126 × 3.5 = 126 × 7/2 = 63 × 7 = 441

Explanation

Human-beings belong to the biological class Mammalia, meaning they are categorized as mammals. Similarly, snakes belong to the biological class Reptilia, which categorizes them as reptiles.

Explanation

Each letter cluster in the series follows a specific positional pattern in the English alphabet. The first letter of each cluster increases by two positions, moving from E to G, then to I, K, and finally to M. The second letter of each cluster increases by one position, moving from Q to R, then to S, T, and finally to U. The third letter of each cluster decreases by one position, moving from M to L, then to K, J, and finally to I. Combining these letters gives MUI.

Explanation

According to the first statement, some computers are phones. By the rule of conversion of a particular affirmative proposition, this directly implies that some phones are computers. Therefore, conclusion I logically follows.

Combining the two statements, we have: Some computers are phones + All phones are televisions. Since all phones are televisions, those computers that are phones must also be televisions. This leads to the conclusion that some computers are televisions. Converting this particular affirmative proposition, we get some televisions are computers. Therefore, conclusion II logically follows.

Explanation

The coding pattern involves writing the positional values of the letters of the word in reverse order, starting from the last letter to the first letter.

For the word TENDER, the letters from right to left are R, E, D, N, E, and T. Their respective English alphabetical positions are 18, 5, 4, 14, 5, and 20. Combining these values gives the code 185414520.

Applying the same logic to REQUESTED, the letters from right to left are D, E, T, S, E, U, Q, E, and R. Their respective alphabetical positions are: D = 4 E = 5 T = 20 S = 19 E = 5 U = 21 Q = 17 E = 5 R = 18

Combining these numbers yields 45201952117518.

Explanation

The numbers in the given set follow a specific mathematical relationship. If we denote the three numbers as a, b, and c, the pattern is:

b = 3a + 4 c = 4b + 5

Applying this pattern to the set (15, 49, 201): 49 = 15 × 3 + 4 201 = 49 × 4 + 5

Applying the same pattern to (29, 91, 369): 91 = 29 × 3 + 4 369 = 91 × 4 + 5

Explanation

The relationship among the numbers in the given set (a, b, c) is that the second number is the sum of the square of the first number and the third number:

b = a² + c

For the given set (15, 556, 331): 15² + 331 = 225 + 331 = 556

Applying this same logic to the numbers in option D, which is (9, 159, 78): 9² + 78 = 81 + 78 = 159

This satisfies the same mathematical relationship.

Explanation

The coding logic is based on whether the letter is a vowel or a consonant. Consonants are shifted backward by 3 positions in the alphabetical order (letter - 3), whereas vowels are shifted forward by 3 positions (letter + 3).

In the word SECTION: S (19) is a consonant, so 19 - 3 = 16 (P) E (5) is a vowel, so 5 + 3 = 8 (H) C (3) is a consonant, so 3 - 3 = 26 (Z) T (20) is a consonant, so 20 - 3 = 17 (Q) I (9) is a vowel, so 9 + 3 = 12 (L) O (15) is a vowel, so 15 + 3 = 18 (R) N (14) is a consonant, so 14 - 3 = 11 (K)

Applying this same pattern to HOSTELS: H (8) is a consonant, so 8 - 3 = 5 (E) O (15) is a vowel, so 15 + 3 = 18 (R) S (19) is a consonant, so 19 - 3 = 16 (P) T (20) is a consonant, so 20 - 3 = 17 (Q) E (5) is a vowel, so 5 + 3 = 8 (H) L (12) is a consonant, so 12 - 3 = 9 (I) S (19) is a consonant, so 19 - 3 = 16 (P)

Explanation

The relationship between the letter-clusters is based on opposite letters in the English alphabet, where the sum of the numerical positions of the paired letters is 27.

For the first pair LZ and OA: L (12) + O (15) = 27 Z (26) + A (1) = 27

Applying this same rule to UR: The opposite of U (21) is F (6), because 21 + 6 = 27. The opposite of R (18) is I (9), because 18 + 9 = 27.

This gives the letter-cluster FI.

Explanation

The total ratio of division among A, B, and C is 7 + 8 + 9 = 24 parts.

The total amount to be divided is ₹504.

The combined ratio of B and C is 8 + 9 = 17 parts.

The total amount received by B and C is calculated as: Amount = (17 / 24) × 504

Dividing 504 by 24 gives 21. Multiplying 17 by 21 yields 357.

Explanation

The given number series is based on adding consecutive prime numbers.

Calculating the differences between successive terms reveals the pattern: 95 - 88 = 7 106 - 95 = 11 119 - 106 = 13 136 - 119 = 17 155 - 136 = 19 178 - 155 = 23

The series of differences (7, 11, 13, 17, 19, 23) consists of consecutive prime numbers starting from 7. The next prime number in this sequence is 29.

To find the missing term, we add 29 to the last given term of the series: 178 + 29 = 207

Explanation

In the letter-cluster NSW, the alphabetical positions of the letters are N = 14, S = 19, and W = 23. The difference between N and S is +5 (14 + 5 = 19), whereas the difference between S and W is +4 (19 + 4 = 23). This deviation makes it the odd one out because all the other letter-clusters follow a consistent pattern of a +5 difference between consecutive letters.

Explanation

Depression is a mental health disorder and a non-communicable psychological condition. It is classified as a psychiatric illness characterized by persistent low mood, loss of interest, and cognitive changes, whereas the other terms represent communicable, infectious diseases caused by biological pathogens.

Explanation

Replacing the asterisks sequentially with the mathematical signs in option C, where the second plus sign represents the division operator, ÷, we obtain the equation 11 × 15 + 78 ÷ 6 - 18 = 160.

Applying the BODMAS rule, we first perform the division operation, which gives 78 ÷ 6 = 13.

Next, we perform the multiplication operation, which yields 11 × 15 = 165.

Substituting these values back into the equation gives 165 + 13 - 18 = 160.

Performing the addition results in 178 - 18 = 160.

Finally, performing the subtraction yields 160 = 160, which balances the equation.

Explanation

The letter-cluster BGQ is the odd one because the alphabetical positions of its letters are B = 2, G = 7, and Q = 17, which represents positional differences of +5 and +10. This deviates from the uniform pattern of adding 6 to the alphabetical position of each preceding letter to obtain the next one.

Explanation

All Boys are Robots implies that the set of Boys is entirely contained within the set of Robots. Since all boys are robots, it is logically certain that some part of the robots set is occupied by boys. Therefore, the conversion of this statement yields Some Robots are boys, which means Conclusion I logically follows.

Similarly, All Girls are Robots means the entire set of Girls is a subset of Robots. Consequently, the conversion of this statement yields Some Robots are girls, which means Conclusion III logically follows.

Explanation

The general pattern followed by the consistent number-pairs in this set is x : x(x + 1), where the second number is the product of the first number and its consecutive successor. Applying this formula to the first number 11, we calculate 11 × (11 + 1) = 11 × 12 = 132. Because the pair is given as 11:142 instead of 11:132, it does not satisfy the logical rule.

Explanation

The logic followed in the given set of numbers is that the third number is equal to twice the product of the first two numbers.

If the three numbers are represented as a, b, and c, the relationship is expressed as: c = a × b × 2

For the given set (13, 17, 442): 13 × 17 × 2 = 221 × 2 = 442

Applying this same relationship to the numbers in option C (18, 15, 540): 18 × 15 × 2 = 270 × 2 = 540