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

Explanation

Combining the statements "All ground is wind" and "All wind is earth" gives the relation that all ground is earth. Since "Some tables are ground", the intersection between tables and ground is non-empty. Since all ground is part of earth, this intersection must also be part of earth, meaning some tables are definitely earth. This directly invalidates Conclusion (I) which states that no tables are earth.

For Conclusion (II), the statement "All ground is earth" establishes that ground is a subset of earth, but it does not mean that earth is a subset of ground. Therefore, we cannot conclude that all earth is ground.

Explanation

By interchanging "+" with "-" and "" with "x" in the equation, the expression becomes 24 x 9 - 182 / 13 + 2. According to BODMAS rules, this simplifies to 216 - 14 + 2, which equals 204.

Explanation

By comparing the letters in the words DARK and READ, the common letters are D, A, and R.

Similarly, comparing the digits in their respective codes, 3975 and 5873, the common digits are 3, 7, and 5.

Since the common letters D, A, and R must correspond to the common digits 3, 7, and 5 in some order, the unique letter K in DARK must correspond to the remaining unique digit 9 in its code 3975.

Explanation

Interchanging the numbers 2 and 4 in the given equation: 18 - 2 + 12 × 4 + 7 = ?

We get: 18 - 4 + 12 × 2 + 7 = ?

Applying the BODMAS rule, we first perform the multiplication: 12 × 2 = 24

The equation becomes: 18 - 4 + 24 + 7 = ?

Now, performing addition and subtraction: 18 - 4 = 14 14 + 24 = 38 38 + 7 = 45

Explanation

The given series follows an alternating addition pattern of +1 and +3.

50 + 1 = 51 51 + 3 = 54 54 + 1 = 55 55 + 3 = 58

Following this alternating sequence, the next difference must be +1. Adding 1 to the last term gives:

58 + 1 = 59

Explanation

The relationship between the words in the given pair, compress and expand, is antonymous, as they are direct opposites in meaning. Similarly, the words limit and boundless are antonyms, where limit refers to a point or line that cannot be passed, and boundless refers to having no limits or being infinite.

Explanation

To find the number of letters whose positions remain unchanged, we first write down the original word and then arrange its letters in alphabetical order.

Original word: N U C L E A R

Alphabetical order: A C E L N R U

Comparing the two sequences position by position: 1st position: N changes to A 2nd position: U changes to C 3rd position: C changes to E 4th position: L remains L 5th position: E changes to N 6th position: A changes to R 7th position: R changes to U

Only the letter L at the fourth position remains unchanged. Therefore, the position of only one letter remains unchanged.

Explanation

The question involves the interchange of the mathematical operators + and -, and × and ÷.

The original equation is: 209 ÷ 2 + 24 - 120 × 3 = ?

By interchanging the operator pairs (+ with -) and (× with ÷), the equation becomes: 209 × 2 - 24 + 120 ÷ 3 = ?

Applying the BODMAS rule:

First, perform the division: 120 ÷ 3 = 40

Next, perform the multiplication: 209 × 2 = 418

Now, substitute these values back into the expression: 418 - 24 + 40

Finally, perform the addition and subtraction: 394 + 40 = 434

Explanation

We decode the relationship expression A | B # C @ D % E step-by-step:

A | B means A is the father of B.

B # C means B is the brother of C, which means B and C are siblings, and both are children of A.

C @ D means C is the daughter of D. Since A is the father of C, D must be the mother of C, making A and D a married couple where A is the husband and D is the wife.

D % E means D is the mother of E.

Since A is married to D, and D is the mother of E, A is the father of E.

Explanation

Comparing the two statements, 'I am boy' coded as 'it sit pit' and 'I am girl' coded as 'sit nit it', the common words are 'I' and 'am', and the corresponding common codes are 'it' and 'sit'. Eliminating these common elements from the second statement leaves the word 'girl' and its unique code 'nit'.

Explanation

To complete the series, we can divide the given sequence of letters and blanks into six groups of six letters each:

Group 1: n p _ r _ r Group 2: _ p _ m _ m Group 3: _ p _ q _ r Group 4: _ q _ n _ m Group 5: _ n _ p _ r Group 6: _ q _ n _ m

By sequentially placing the letters of option D (m, q, q, r, n, n, p, m, q, p) into the first ten blanks, we fill the positions as follows:

In Group 1, we fill the blanks with m and q to get: n p m r q r In Group 2, we fill the blanks with q, r, and n to get: q p r m n m In Group 3, we fill the blanks with n, p, and m to get: n p p q m r In Group 4, we fill the first two blanks with q and p to get: q q p n m m

This successfully establishes a consistent alternating and shifting pattern across the groups: The first letter of each group alternates between n and q (n, q, n, q, n, q). The last letter of each group alternates between r and m (r, m, r, m, r, m). The remaining positions follow a systematic cyclic pattern.

Explanation

The relationship between the numbers in each pair follows the pattern x² : x³, where the first number is the square of a number x, and the second number is the cube of that same number x.

For the first pair: 64 = 8² 512 = 8³

For the third pair: 225 = 15² 3375 = 15³

Applying the same pattern to the second pair, the third number is 169, which is 13². Therefore, the missing number is the cube of 13: 13³ = 2197

Explanation

The given number series follows a specific mathematical pattern where each successive term is obtained by multiplying the previous term by 3 and then subtracting 3.

The step-by-step calculations for the terms are: 21 × 3 - 3 = 60 60 × 3 - 3 = 177 177 × 3 - 3 = 528 528 × 3 - 3 = 1581

Following this established pattern, the next term in the series is calculated as: 1581 × 3 - 3 = 4743 - 3 = 4740

Explanation

The given series follows an arithmetic progression where each successive term is obtained by adding 1 to the preceding term.

The common difference d between consecutive terms is: 14/9 - 5/9 = 9/9 = 1

Applying this common difference to the sequence: 5/9 + 1 = 14/9 14/9 + 1 = 23/9 23/9 + 1 = 32/9 32/9 + 1 = 41/9

The next term in the series is obtained by adding 1 to the fifth term: 41/9 + 1 = 50/9

Explanation

To find the code for the word health, we compare the two given statements:

First statement: 'protect your health' is coded as 'Df Bk Tu' Second statement: 'health is wealth' is coded as 'Po Tu Le'

The only word common to both statements is health. Similarly, the only code word common to both coded representations is Tu. Therefore, health is represented by Tu.

Explanation

In each given set (a, b, c), the numbers follow a specific mathematical pattern: b = a × 2 c = b × 4

Let us verify this logic with the given sets: For (4, 8, 32): b = 4 × 2 = 8 c = 8 × 4 = 32

For (7, 14, 56): b = 7 × 2 = 14 c = 14 × 4 = 56

Applying the same logic to the set (11, 22, 88): b = 11 × 2 = 22 c = 22 × 4 = 88

This completely satisfies the established pattern.

Explanation

By interchanging the signs + and ×, the equation is written as:

125 × 5 - 19 + 190 ÷ 19 = ?

Applying the BODMAS rule:

First, perform the division: 190 ÷ 19 = 10

Next, perform the multiplication: 125 × 5 = 625

Now, substitute these values back into the equation: 625 - 19 + 10

Finally, perform the addition and subtraction: 606 + 10 = 616

Explanation

By comparing the two given coded statements, the common elements can be identified.

In the first statement, the phrase 'mix jaggery well' is represented by the codes 'rb', 'co', and 'ot'.

In the second statement, the phrase 'well doze boss' is represented by the codes 'cx', 'rb', and 'op'.

The only word that appears in both phrases is 'well', and the only code that appears in both code groups is 'rb'. This direct comparison establishes that the code for 'well' is 'rb'.

Explanation

The given sequence is an arithmetic progression where each subsequent term is obtained by adding a constant difference to the preceding term.

The formula for the n-th term of an arithmetic progression is aₙ = a + (n - 1)d, where a is the first term and d is the common difference.

Here, the first term a = 86 and the common difference d = 88 - 86 = 2.

To find the 6th term of the series, we substitute n = 6, a = 86, and d = 2 into the formula:

a₆ = 86 + (6 - 1) × 2 a₆ = 86 + 5 × 2 a₆ = 86 + 10 a₆ = 96

Explanation

To determine how P is related to T from the expression P | Q % R # S @ T, we decode the relationships step-by-step from left to right:

P | Q means P is the father of Q. Q % R means Q is the mother of R. R # S means R is the brother of S, which implies Q is also the mother of S. S @ T means S is the wife of T.

From this, T is married to S, making S the wife of T. The mother of S is Q, meaning Q is T's wife's mother. Since P is the father of Q, P is the father of T's wife's mother. Therefore, P is T's wife's mother's father.

Explanation

By analyzing the positions of the letters in each term of the series, we can establish a pattern for each of the three letter positions:

For the first letter of each term: Q (17) → M (13) → I (9) → E (5) The position decreases by 4 each time (17 - 4 = 13, 13 - 4 = 9, 9 - 4 = 5). Following this pattern, the next letter position is 5 - 4 = 1, which corresponds to A.

For the second letter of each term: R (18) → X (24) → D (4) → J (10) The position increases by 6 each time (18 + 6 = 24; 24 + 6 = 30, which corresponds to 4 in the 26-letter cycle; 4 + 6 = 10). Following this pattern, the next letter position is 10 + 6 = 16, which corresponds to P.

For the third letter of each term: S (19) → B (2) → K (11) → T (20) The position increases by 9 each time (19 + 9 = 28, which corresponds to 2 in the 26-letter cycle; 2 + 9 = 11; 11 + 9 = 20). Following this pattern, the next letter position is 20 + 9 = 29, which corresponds to 29 - 26 = 3, representing C.

Combining these three letters in order gives APC.

Explanation

From the statements, all roses are lilies and all lilies are lotuses, which means all roses are lotuses. The statement no rose is an orchid establishes that the set of roses has no overlap with the set of orchids. Since there is no information linking orchids to the remaining parts of lilies or lotuses, the set of orchids can be entirely disjoint from both lilies and lotuses. This makes conclusions I (Some lilies are orchids) and II (Some lotuses are orchids) not necessarily true. Additionally, since roses are lilies and no rose is an orchid, some lilies are definitely not orchids, which makes conclusion III (All lilies are orchids) false. Therefore, none of the conclusions follow.

Explanation

The relation follows a pattern where each letter in the word is shifted backward by 2 positions in the alphabetical order.

In the first pair, subtracting 2 from the alphabetical position of each letter in IJLO gives GHJM.

In the second pair, subtracting 2 from the alphabetical position of each letter in HIKN gives FGIL.

Applying the same logic of subtracting 2 from the alphabetical position of each letter in EFHK gives: E - 2 = C F - 2 = D H - 2 = F K - 2 = I

Explanation

The letter cluster ORT consists of letters at alphabetical positions O = 15, R = 18, and T = 20. The difference between successive letters in this cluster is +3 (O to R) and +2 (R to T). The other clusters follow a consistent difference pattern of +3 followed by +1 between consecutive letters.

Explanation

The logic of the analogy is that the sum of the digits of the first number is multiplied by 2 to obtain the second number.

For 78 and 30: (7 + 8) × 2 = 15 × 2 = 30

For 67 and 26: (6 + 7) × 2 = 13 × 2 = 26

Applying the same logic to 54: (5 + 4) × 2 = 9 × 2 = 18

Explanation

The series follows a specific logical pattern for each position of the letter-clusters:

First letter: The positions increase by 5. J (10) + 5 = O (15) O (15) + 5 = T (20) T (20) + 5 = Y (25) Y (25) + 5 = D (30, which is 4 in a 26-letter cycle)

Second letter: The positions decrease by 5. M (13) - 5 = H (8) H (8) - 5 = C (3) C (3) - 5 = X (24, counting backwards from A) X (24) - 5 = S (19)

Third letter: The positions increase by 6. D (4) + 6 = J (10) J (10) + 6 = P (16) P (16) + 6 = V (22) V (22) + 6 = B (28, which is 2 in a 26-letter cycle)

Applying these patterns yields the letters T, C, and P.

Explanation

Each letter in the first cluster is shifted forward by 11 positions in the alphabetical order (using cyclic addition modulo 26) to obtain the corresponding letter of the second cluster.

Applying this pattern to CYRF: C (3) + 11 = 14 (N) Y (25) + 11 = 36 - 26 = 10 (J) R (18) + 11 = 29 - 26 = 3 (C) F (6) + 11 = 17 (Q) This results in NJCQ.

Applying the same pattern to GBUM: G (7) + 11 = 18 (R) B (2) + 11 = 13 (M) U (21) + 11 = 32 - 26 = 6 (F) M (13) + 11 = 24 (X) This results in RMFX.

Similarly, applying the +11 shift to CZKP: C (3) + 11 = 14 (N) Z (26) + 11 = 37 - 26 = 11 (K) K (11) + 11 = 22 (V) P (16) + 11 = 27 - 26 = 1 (A) This results in NKVA.

Explanation

The original word is FRANCHISE. Arranging the letters in alphabetical order yields: A, C, E, F, H, I, N, R, S

The fifth letter from the left in this arranged word is H. The third letter from the right in this arranged word is N.

In the English alphabetical series, the letters lying between H and N are I, J, K, L, and M. Thus, there are exactly five letters between them.

Explanation

The number of days a day of the week shifts over a period of years can be calculated using the formula: total odd days = (number of years + number of leap years) mod 7.

The number of years between 25 August 2006 and 25 August 2018 is 12 years.

During this 12-year period, the leap years are 2008, 2012, and 2016, which gives a total of 3 leap years.

Applying the formula: Total odd days = (12 + 3) mod 7 = 15 mod 7 = 1 odd day.

Adding 1 odd day to Friday gives Saturday.

Explanation

The equation with correct operators is 87 ÷ 3 + 35 - 88 × 11 = ?

According to the instructions: "+" and "-" are interchanged (so + becomes - and - becomes +) "×" and "÷" are interchanged (so × becomes ÷ and ÷ becomes ×)

Substituting these changes into the equation: 87 × 3 - 35 + 88 ÷ 11 = ?

Applying the BODMAS rule: First, perform the division: 88 ÷ 11 = 8

Next, perform the multiplication: 87 × 3 = 261

Now, substitute these values back into the expression: 261 - 35 + 8

Finally, perform the addition and subtraction from left to right: 261 - 35 = 226 226 + 8 = 234

Explanation

By substituting the correct operators where A stands for ÷, B stands for ×, C stands for +, and D stands for -, the expression in Option A can be evaluated using the BODMAS rule.

The expression is: 63 B 7 D 125 A 5 C 5

Replacing the letters with their respective mathematical operators: 63 × 7 - 125 ÷ 5 + 5

Applying the BODMAS rule, first perform the division operation: 125 ÷ 5 = 25

The expression becomes: 63 × 7 - 25 + 5

Next, perform the multiplication operation: 63 × 7 = 441

The expression becomes: 441 - 25 + 5

Finally, perform subtraction and addition from left to right: 441 - 25 = 416 416 + 5 = 421

Explanation

The relationship between the words in the given pair is that of synonyms where the second word represents an extreme or absolute degree of the first. Plain means simple and unadorned, while austere represents an extreme, severe, or absolute state of plainness. In the same way, clean means free from dirt or impurities, while sterile represents an extreme or absolute state of cleanliness where all microorganisms and contaminants are completely removed.

Explanation

Statement 2 states that some books are fans. Since the relation "some" is symmetrical, if some books are fans, then some fans are also books. Therefore, Conclusion II logically follows.

Statement 1 states that all journals are books, Statement 2 states that some books are fans, and Statement 3 states that all fans are wood. Since there is no definite link established between journals and fans, there is no necessary intersection between journals and wood. Thus, Conclusion I does not logically follow.

Explanation

To find the number of letters that remain unchanged, write down the original word and then write its letters in alphabetical order directly beneath it.

Original word: A B D U C T S Alphabetical order: A B C D S T U

Comparing each position: First position: A and A (Unchanged) Second position: B and B (Unchanged) Third position: D and C (Changed) Fourth position: U and D (Changed) Fifth position: C and S (Changed) Sixth position: T and T (Unchanged) Seventh position: S and U (Changed)

The letters A, B, and T remain in their original positions. Therefore, the position of three letters remains unchanged.

Explanation

The number of years between 9 March 2007 and 9 March 2012 is 5 years.

Within this 5-year period, there are 2 leap years (2008 and 2012) and 3 ordinary years. Since the transition is from March to March, the leap days of both 2008 and 2012 are included in this span.

Each ordinary year contributes 1 odd day and each leap year contributes 2 odd days. Total odd days from 9 March 2007 to 9 March 2012 = (3 × 1) + (2 × 2) = 7 odd days. A total of 7 odd days is equivalent to 0 odd days because 7 ÷ 7 leaves a remainder of 0. Therefore, 9 March 2012 was also a Friday.

To find the day of the week on 13 March 2012, we calculate the difference in days: 13 - 9 = 4 days. Adding 4 days to Friday (Saturday, Sunday, Monday, Tuesday) results in Tuesday.

Explanation

In the expression X + Y - Z, the operator + represents the father relationship and the operator - represents the mother relationship.

X + Y means X is the father of Y. Y - Z means Y is the mother of Z.

By combining these two relationships, Y is Z's mother, and X is Y's father. Therefore, X is Z's mother's father.

Explanation

Comparing the codes of the two words: MONEY is coded as 64381. HONEY is coded as 54381.

The last four letters O, N, E, and Y are identical in both words, and their corresponding positions share the same digits 4, 3, 8, and 1. By direct letter-to-digit mapping, the first letter of each word corresponds to the first digit of its respective code. Since M in MONEY is coded as 6, the letter H in HONEY is coded as 5.

Explanation

The given series follows a specific arithmetic pattern where each subsequent term is obtained by multiplying the preceding term by 2 and then adding 1.

The pattern is defined as: Next term = 2 × (Current term) + 1

Applying this formula to each term: First term to second term: 2 × 131 + 1 = 262 + 1 = 263 Second term to third term: 2 × 263 + 1 = 526 + 1 = 527 Third term to fourth term: 2 × 527 + 1 = 1054 + 1 = 1055

Following the same logic to find the missing term: 2 × 1055 + 1 = 2110 + 1 = 2111

Explanation

By interchanging "+" with "-" and "×" with "÷" in the mathematical expression:

80 - 18 ÷ 3 × 5 + 23

Applying the BODMAS rule (Division, Multiplication, Addition, Subtraction):

First, perform the division: 18 ÷ 3 = 6

The expression becomes: 80 - 6 × 5 + 23

Next, perform the multiplication: 6 × 5 = 30

The expression becomes: 80 - 30 + 23

Finally, perform addition and subtraction: 50 + 23 = 73

Explanation

The given sequence is an arithmetic progression where each subsequent term is obtained by adding a constant difference of 13 to the preceding term:

21 - 8 = 13 34 - 21 = 13 47 - 34 = 13 60 - 47 = 13

Applying this common difference to the last given term:

60 + 13 = 73

Explanation

Substituting the numbers 3 and 9 with each other in the given equation: 45 ÷ 9 + 12 × 3 - 15 + 2 × 5 = 36

Applying the BODMAS rule: First, perform the division: 45 ÷ 9 = 5

Next, perform the multiplications: 12 × 3 = 36 2 × 5 = 10

Substitute these values back into the expression: 5 + 36 - 15 + 10

Perform addition and subtraction from left to right: 41 - 15 + 10 26 + 10 = 36

The equation is balanced since both sides equal 36.

Explanation

The pattern followed by the given letter pairs is subtracting 2 from the alphabetical position of each letter to obtain the corresponding letter in the second group.

Applying this rule to the first set: P - 2 = N (16 - 2 = 14) T - 2 = R (20 - 2 = 18) L - 2 = J (12 - 2 = 10)

Applying this rule to the second set: A - 2 = Y (1 - 2 = -1, which corresponds to 25 in circular alphabetical order) E - 2 = C (5 - 2 = 3) X - 2 = V (24 - 2 = 22)

Applying the same rule to the pair TVN : RTL: T - 2 = R (20 - 2 = 18) V - 2 = T (22 - 2 = 20) N - 2 = L (14 - 2 = 12)

Explanation

The relationship between the numbers in each pair is determined by squaring the first number and then adding 2 to the result.

For the first pair, the calculation is 5² + 2 = 25 + 2 = 27.

For the second pair, the calculation is 7² + 2 = 49 + 2 = 51.

Following the identical pattern for the number 4, the calculation is 4² + 2 = 16 + 2 = 18.

Explanation

By comparing the two coded statements, 'art of war' coded as 'gb pr ml' and 'the lost art' coded as 'ml sj ak', the only common word between them is 'art' and the only common code is 'ml'. Therefore, 'art' is coded as 'ml'.

Explanation

Let the three numbers in each set be represented as (a, b, c).

In the given sets, the relationship between the numbers is: b = 2 × a c = a ÷ 2

For the set (6, 12, 3): 12 = 2 × 6 3 = 6 ÷ 2

For the set (10, 20, 5): 20 = 2 × 10 5 = 10 ÷ 2

Applying this same relationship to the set (14, 28, 7): 28 = 2 × 14 7 = 14 ÷ 2

Explanation

The letter-cluster PTV is the odd one out because of the alphabetical position differences between its consecutive letters. Translating the letters to their numerical positions in the English alphabet (A = 1, B = 2, ..., Z = 26), P is 16, T is 20, and V is 22. The step from P to T is +4, and the step from T to V is +2. This +4, +2 pattern is different from the +5, -2 pattern followed by all the other letter-clusters.

Explanation

By interchanging the mathematical operators according to the given rules: "-" is replaced by "÷" "×" is replaced by "+" "+" is replaced by "-" (or "×" depending on position)

Applying these interchanges to the equation: 132 ÷ 12 + 17 × 3 - 32

Following the BODMAS rule: First, perform the division: 132 ÷ 12 = 11

Next, perform the multiplication: 17 × 3 = 51

Finally, perform the addition and subtraction: 11 + 51 - 32 = 30

Explanation

Replacing the letter codes with their respective mathematical operators: V represents / O represents + E represents × U represents -

Substituting these symbols into the given equation: 12 / 2 + 36 × 48 - 53

Applying the BODMAS rule:

First, perform the division: 12 / 2 = 6

Next, perform the multiplication: 36 × 48 = 1728

Now, perform the addition: 6 + 1728 = 1734

Finally, perform the subtraction: 1734 - 53 = 1681

Explanation

In the alphabetical series, the positions of the letters in GJN are G = 7, J = 10, and N = 14. The difference between G and J is 3 (10 - 7 = 3) and the difference between J and N is 4 (14 - 10 = 4). This pattern of +3, +4 deviates from the constant difference of +4 between consecutive letters observed in the other groups.

Explanation

Applying the mathematical operator interchanges: Interchanging '+' and '-' Interchanging '×' and '÷'

The original equation: 21 + 23 - 46 × 23 ÷ 21 = ?

Substituting the interchanged operators: 21 - 23 + 46 ÷ 23 × 21 = ?

Following the BODMAS rule: First, perform the division: 46 ÷ 23 = 2

Next, perform the multiplication: 2 × 21 = 42

Finally, perform subtraction and addition: 21 - 23 + 42 = -2 + 42 = 40