SSC CHSL Tier 1 2023 General Intelligence & Reasoning Questions with Solutions

Explanation

According to the rules of operator changes:

• is changed with - is changed with + × is changed with -

Substituting these operator changes into the given expression (with the last term as 10):

120 + 6 - 31 - 8 - 10 = ?

Now, solving the expression step-by-step using BODMAS rules:

120 + 6 = 126 126 - 31 = 95 95 - 8 = 87 87 - 10 = 77

Explanation

Arranging the letters of the word POINTED in alphabetical order gives the sequence: D, E, I, N, O, P, T.

In this new letter-cluster, the letter third from the left is I, and the letter fourth from the right is N.

To find the number of letters between I and N in the English alphabetical series, we find the difference between their numerical positions. The letter I is the 9th letter of the alphabet, and N is the 14th letter. The number of letters between them is calculated as (14 - 9) - 1 = 4. These four letters are J, K, L, and M.

Explanation

Applying the operator interchanges, the first '+' is replaced by '×', the second '+' is replaced by '=', '×' is replaced by '+', and '=' is replaced by '+'.

Using 56 in place of 41, the equation becomes: 56 × 7 = 125 + 5 - 8 + ?

Calculating the values: 392 = 122 + ? ? = 270

Explanation

In the expression P × Q ÷ R - S + T, the relationships can be decoded step-by-step from right to left to find how R is related to T.

The segment S + T means S is the son of T.

The segment R - S means R is the wife of S.

Since S is the son of T and R is the wife of S, R is the wife of T's son. Therefore, R is the son's wife of T.

Explanation

By comparing the two coded statements: always keep your secret = pl zt rs mk your attitude is good = nj mk hl yp

The word your is the only common word between the two sentences. Similarly, mk is the only common code shared between both sets of codes. Therefore, the word your is coded as mk in the given language.

Explanation

The relationship between the numbers in each given pair follows the formula where the second number is twice the square of the first number:

Second number = 2 × (First number)²

For the pair 5 : 50: 2 × 5² = 2 × 25 = 50

For the pair 12 : 288: 2 × 12² = 2 × 144 = 288

Applying this same relationship to the pair 8 : 128: 2 × 8² = 2 × 64 = 128

Explanation

In the given group, the common pattern is that the position of the second letter is obtained by adding 4 to the position of the first letter, and the position of the third letter is obtained by adding 2 to the position of the second letter.

For the letters in BFI, the numerical positions in alphabetical order are B = 2, F = 6, and I = 9. The step from B to F is +4, but the step from F to I is +3, which does not follow the +4, +2 pattern of the group.

Explanation

The given series consists of three distinct patterns for the first letter, the second letter, and the number.

The first letters follow a reverse alphabetical sequence of Z, Y, X, W, V. This gives the first letter as Y.

The second letters also follow a reverse alphabetical sequence of J, I, H, G, F. This gives the second letter as I.

The numbers follow a geometric progression where each succeeding term is multiplied by 2. Thus, the sequence is 10, 20, 40, 80, 160, where 10 × 2 = 20 and 20 × 2 = 40. This gives the number as 20.

Combining these elements, the missing term is YI 20.

Explanation

The standard mathematical relation followed by the pairs is y = 2x + 3, where x represents the first number and y represents the second number. The pair 2:6 does not follow this pattern, as applying the formula yields 2 × 2 + 3 = 7, which does not equal 6.

Explanation

The pattern of the series is based on subtracting consecutive even numbers starting from 12 in descending order:

42 - 12 = 30 30 - 10 = 20 20 - 8 = 12 12 - 6 = 6 6 - 4 = 2

Alternatively, each term in the series can be expressed in the form n² + n for decreasing integer values of n starting from 6:

6² + 6 = 42 5² + 5 = 30 4² + 4 = 20 3² + 3 = 12 2² + 2 = 6 1² + 1 = 2

Both methods consistently give 20 as the missing term.

Explanation

In the expression J × K - L + M + N, the relationships between the individuals are determined step-by-step from left to right:

J × K indicates that J is the wife of K, which means K is a male.

K - L indicates that K is the brother of L.

L + M indicates that L is the father of M.

Since K is the brother of L, and L is the father of M, K is the brother of M's father. Therefore, K is the father's brother of M.

Explanation

To determine the number of letters that remain unchanged in their positions, we first write down the original word:

H E A R I N G

Next, we arrange the letters of the word in alphabetical order:

A E G H I N R

Comparing the original word with the alphabetically sorted letters at each position:

Position 1: H changed to A Position 2: E remains E Position 3: A changed to G Position 4: R changed to H Position 5: I remains I Position 6: N remains N Position 7: G changed to R

The letters at the second, fifth, and sixth positions (E, I, and N) remain unchanged. Thus, the positions of exactly three letters remain the same.

Explanation

To solve the equation, the operators "+" and "-" are interchanged, and "×" and "÷" are interchanged in the expression: 5 ÷ 8 + 4 × 2 - 9

Applying the interchanges: "÷" is replaced by "×" "+" is replaced by "-" "×" is replaced by "÷" "-" is replaced by "+"

The modified equation is: 5 × 8 - 4 ÷ 2 + 9

Following the BODMAS rule:

First, perform the division: 4 ÷ 2 = 2

The equation becomes: 5 × 8 - 2 + 9

Next, perform the multiplication: 5 × 8 = 40

The equation becomes: 40 - 2 + 9

Finally, perform the addition and subtraction: 38 + 9 = 47

Explanation

The given expression is L/M × D - K. Decoding the relationships step by step:

L/M means L is the brother of M. M × D means M is the sister of D. D - K means D is the father of K.

Since L is the brother of M and M is the sister of D, L, M, and D are all siblings. Since L is male, L is the brother of D. Because D is the father of K, L is the brother of K's father. Thus, L is the father's brother of K.

Explanation

The relationship between the first number x and the second number y is defined by the formula: y = (x - 4) ÷ 2

Applying this logic to the given numbers: For 34: (34 - 4) ÷ 2 = 15 For 44: (44 - 4) ÷ 2 = 20

Applying the same logic to 52: (52 - 4) ÷ 2 = 24

Explanation

The given series follows a pattern where the difference between consecutive terms decreases by 2 at each step.

816 - 774 = 42 774 - 734 = 40

Following this pattern, the next difference must be 38, which is 40 - 2.

734 - 38 = 696

To verify, the next difference should be 36, which is 38 - 2.

696 - 36 = 660

This perfectly matches the last term of the series.

Explanation

Conclusion I follows directly from the first statement. The statement states that all napkins are whisks. In classical syllogism logic, if all members of a set belong to another set, it implies that at least some members of that set also belong to it. Therefore, the conclusion that some napkins are whisks is logically valid.

Conclusion II follows directly from the second statement. The statement asserts that some whisks are kettles. Since the particular affirmative proposition is symmetric, the relation can be reversed. Thus, some whisks are kettles directly implies that some kettles are whisks.

Explanation

The pattern follows a simple alphabetical shift of +1 for each letter in the word.

A + 1 = B J + 1 = K K + 1 = L This relates AJK to BKL.

D + 1 = E O + 1 = P T + 1 = U This relates DOT to EPU.

Applying this same +1 shift to PJO: P + 1 = Q J + 1 = K O + 1 = P This results in QKP.

Explanation

The series can be divided into four groups of four letters each:

Group 1: K L M N Group 2: L O L K Group 3: M R K H Group 4: N U I E

By analyzing the letters at each corresponding position across the four groups:

First letter of each group: K → L → M → N (increases by +1 in alphabetical position: 11 → 12 → 13 → 14)

Second letter of each group: L → O → R → U (increases by +3 in alphabetical position: 12 → 15 → 18 → 21)

Third letter of each group: M → L → K → I (decreases alphabetically: 13 → 12 → 11 → 9)

Fourth letter of each group: N → K → H → E (decreases by -3 in alphabetical position: 14 → 11 → 8 → 5)

Placing the missing letters L, L, R, and E sequentially into the blanks completes the logically consistent series.

Explanation

The relation between the numbers in the given triads is established by the formula:

(First Number + Second Number) × 5 = Third Number

Let us apply this logic to the given triads:

First triad: (14 + 15) × 5 = 29 × 5 = 145

Second triad: (12 + 27) × 5 = 39 × 5 = 195

Applying the same logic to the numbers in the correct option: (17 + 31) × 5 = 48 × 5 = 240

Explanation

The day of the week can be calculated by finding the total number of odd days between 16 June 2001 and 21 June 2009.

First, calculate the odd days for the years from 16 June 2001 to 16 June 2009: Number of years = 2009 - 2001 = 8 years Number of leap years in this period (2004 and 2008) = 2 leap years Odd days from years = 8 + 2 = 10 odd days

Next, calculate the remaining days from 16 June 2009 to 21 June 2009: Number of days = 21 - 16 = 5 days

Total odd days = 10 + 5 = 15 days Net odd days = 15 mod 7 = 1 day

Adding 1 odd day to the starting day: Saturday + 1 day = Sunday

Explanation

By comparing the two coded words, CRAMP and MACRO, we can identify their common letters and digits.

The common letters between CRAMP and MACRO are C, R, A, and M.

Looking at their respective codes, 29715 and 52397, the common digits are 2, 9, 7, and 5. This means the set of letters {C, R, A, M} corresponds to the set of digits {2, 9, 7, 5}.

The only letter in CRAMP that is not present in MACRO is P. Correspondingly, the only digit in the code 29715 that is not present in 52397 is 1. Thus, the letter P is coded as 1.

Explanation

The general pattern for the alike pairs is x × (x + 1) = y.

For the pair 19:342, this relation does not hold because 19 × 20 = 380. Instead, it follows the relationship x × (x - 1) = y, where 19 × 18 = 342, making it the odd one out.

Explanation

The series consists of five terms, each containing four letters, where some letters are missing (indicated by dots in the sequence). The complete terms are formed by filling in the letters J, B, O, X, V from the correct option in their respective blank positions:

Term 1: R D J W Term 2: S B M S Term 3: T Z O P Term 4: U X S K Term 5: V V V G

This follows a consistent logical pattern for each letter position:

For the first letter of each term, the alphabetical position increases by 1: R (18) → S (19) → T (20) → U (21) → V (22)

For the second letter of each term, the alphabetical position decreases by 2: D (4) → B (2) → Z (26) → X (24) → V (22)

For the third and fourth letters of each term, the sum of their alphabetical positions decreases by 1 in each subsequent term: Term 1: J (10) + W (23) = 33 Term 2: M (13) + S (19) = 32 Term 3: O (15) + P (16) = 31 Term 4: S (19) + K (11) = 30 Term 5: V (22) + G (7) = 29

Explanation

The given series follows the mathematical pattern of Tₙ = n² + 1, where n represents the position of each term in the sequence.

Calculating the terms: For n = 1: 1² + 1 = 2 For n = 2: 2² + 1 = 5 For n = 3: 3² + 1 = 10 For n = 4: 4² + 1 = 17 For n = 5: 5² + 1 = 26 For n = 6: 6² + 1 = 37 For n = 7: 7² + 1 = 50

Following this rule, the eighth term is: 8² + 1 = 64 + 1 = 65

Explanation

The series follows a specific alphabetical pattern for each letter position in the clusters:

The first letter of each cluster decreases by one position in the alphabetical order: J (10) → I (9) → H (8) → G (7) → F (6).

The second letter of each cluster increases by two positions: P (16) → R (18) → T (20) → V (22) → X (24).

The third letter of each cluster decreases by one position: W (23) → V (22) → U (21) → T (20) → S (19).

Combining these transitions, the next letter-cluster in the series is FXS.

Explanation

The difference between consecutive terms in the series follows the powers of 3.

Let the terms of the series be denoted by aₙ. The relationship between consecutive terms is:

aₙ₊₁ = aₙ + 3ⁿ

Calculating each term: a₁ = 3 a₂ = 3 + 3¹ = 6 a₃ = 6 + 3² = 15 a₄ = 15 + 3³ = 42 a₅ = 42 + 3⁴ = 123

Following this pattern, the next term is: a₆ = 123 + 3⁵ = 123 + 243 = 366

Explanation

In the expression O + A - M + N, the relationship between O and M is determined as follows:

O + A means O is the daughter of A. This implies O is female and A is O's parent.

A - M means A is the brother of M. This means A is male, so A is the father of O. It also means A and M are siblings.

M + N means M is the daughter of N. This means M is female. Since A and M are siblings, M is the sister of A.

Therefore, since A is the father of O and M is the sister of A, M is the father's sister of O.

Explanation

Applying the interchange of operators where ÷ and × are interchanged, and + and - are interchanged, the given equation is rewritten as:

11 × 42 ÷ 3 + 69 - 25 = ?

Using the BODMAS rule, the operations are performed in the following order:

First, perform the division: 42 ÷ 3 = 14

The expression becomes: 11 × 14 + 69 - 25

Next, perform the multiplication: 11 × 14 = 154

The expression becomes: 154 + 69 - 25

Next, perform the addition: 154 + 69 = 223

Finally, perform the subtraction: 223 - 25 = 198

Explanation

The relationship between the terms in each pair follows the mathematical logic where the second number is obtained by multiplying the first number by the first number minus five.

y = x × (x - 5)

Applying this formula to the third and fifth pairs: 15 × (15 - 5) = 15 × 10 = 150 18 × (18 - 5) = 18 × 13 = 234

Applying the same logic to the first term where x = 7: 7 × (7 - 5) = 7 × 2 = 14

Explanation

Correct Answer: C

The relation between the first number x and the second number y in each given pair is determined by the formula:

y = 7x - 5

Applying this relation to the given pairs: 16 × 7 - 5 = 112 - 5 = 107 12 × 7 - 5 = 84 - 5 = 79

Applying the same mathematical operation to the pair 9, 58: 9 × 7 - 5 = 63 - 5 = 58

Explanation

The given sequence is: 17, 22, 32, 47, 67, X.

To find the pattern, we calculate the differences between consecutive terms: 22 - 17 = 5 32 - 22 = 10 47 - 32 = 15 67 - 47 = 20

The differences form an arithmetic progression of multiples of 5: 5, 10, 15, 20. Following this pattern, the next difference must be 25.

Adding this difference to the last term gives: X = 67 + 25 = 92

Explanation

By comparing the letters in the words GRAB and BANG, the letters G, A, and B are common to both. Similarly, comparing their respective codes 5401 and 9105, the digits 5, 0, and 1 are common. This means the letters G, A, and B correspond to the digits 5, 0, and 1 in some order. The remaining unique letter in BANG is N, and the remaining unique digit in its code is 9, which means the code for N is 9.

Explanation

To find the day of the week on 7 December 1991, we first calculate the number of odd days between 22 September 1982 and 22 September 1991.

The number of years between these two dates is 9 years. Within this period, the leap years are 1984 and 1988, giving 2 leap years and 7 ordinary years. Since an ordinary year has 1 odd day and a leap year has 2 odd days, the total odd days from the years is (7 × 1) + (2 × 2) = 11 odd days. Dividing 11 by 7, we get a remainder of 4 odd days. Since 22 September 1982 is Wednesday, 22 September 1991 will be Wednesday + 4 days = Sunday.

Now, we calculate the number of odd days from 22 September 1991 to 7 December 1991: Remaining days in September = 8 days, which gives 1 odd day (8 mod 7). Days in October = 31 days, which gives 3 odd days (31 mod 7). Days in November = 30 days, which gives 2 odd days (30 mod 7). Days in December = 7 days, which gives 0 odd days (7 mod 7).

Total odd days for this period = 1 + 3 + 2 + 0 = 6 odd days.

Adding 6 odd days to Sunday gives Saturday.

Explanation

The words in the given pair, Contain and Hold, are synonyms as both refer to the act of carrying, enclosing, or keeping something within limits. Similarly, the words in the pair Contrast and Disparity are synonyms, as both relate to the state of being different or pointing out differences and inequalities between things.

Explanation

Conclusion I does not follow because there is no definite relation given between knives and forks. Conclusion II does not follow because although some forks are sticks and all spoons are forks, there is still a possibility of overlap between spoons and sticks. Therefore, neither conclusion I nor II follows.

Explanation

To evaluate Conclusion (I), we look at the statements "Some yellow are flowers" and "Some flowers are brown". Both are particular affirmative statements, which do not establish any definite overlapping relationship between the yellow set and the brown set. Therefore, Conclusion (I) does not logically follow.

To evaluate Conclusion (II), the statement "All cars are yellow" is a universal affirmative statement. The valid immediate converse of "All A are B" is "Some B are A". Thus, we can only definitely conclude that "Some yellow are cars", which means "All yellow are cars" does not logically follow.

Explanation

The alphabetical positions of the letters in SUV are S = 19, U = 21, and V = 22. The transition from S to U involves adding 2 positions, and from U to V involves adding 1 position, establishing a letter-position shift pattern of +2 and +1. This pattern differs from the +3 and +1 pattern followed by the other letter-clusters, making it the odd one out.

Explanation

The series consists of three separate patterns for the first letter, the second letter, and the number.

For the first letter, the alphabetical positions are U (21), W (23), Y (25), A (27), and C (29), showing a constant increment of 2. This gives Y as the missing first letter.

For the second letter, the alphabetical positions are C (3), E (5), G (7), I (9), and K (11), also showing a constant increment of 2. This gives G as the missing second letter.

For the number part, the values are the squares of consecutive decreasing odd integers starting from 13: 13² = 169 11² = 121 9² = 81 7² = 49 5² = 25

This gives 81 as the missing number.

Combining these three components yields the term YG 81.

Explanation

The series follows a specific positional pattern for each letter in the clusters:

First letter increases by 1: I (+1) to J (+1) to K (+1) to L Second letter increases by 1: B (+1) to C (+1) to D (+1) to E Third letter decreases by 1: T (-1) to S (-1) to R (-1) to Q Fourth letter decreases by 1: W (-1) to V (-1) to U (-1) to T

Applying this pattern to the second cluster JCSV gives KDRU.

Explanation

The relationship between the terms is based on a consistent shift in the alphabetical positions of the letters and an addition to the numbers.

For the first letter, the position increases by 1: F (6) + 1 = G (7) Q (17) + 1 = R (18) N (14) + 1 = O (15)

For the second letter, the position increases by 2: K (11) + 2 = M (13) B (2) + 2 = D (4) H (8) + 2 = J (10)

For the number, the value increases by 3: 19 + 3 = 22 13 + 3 = 16 16 + 3 = 19

Applying this identical pattern to NH 16 yields OJ 19.

Explanation

The pattern followed by the triads is that the third number is the average of the first two numbers, represented by the formula: (First number + Second number) ÷ 2 = Third number.

In the triad 29- 44- 14, this relationship does not hold because (29 + 44) ÷ 2 = 36.5, which is not equal to 14. Therefore, this triad is different from the others.

Explanation

The given series follows an alternating addition pattern where 3 and 5 are added to consecutive terms.

Starting with the first term 28: 28 + 3 = 31 31 + 5 = 36 36 + 3 = 39 39 + 5 = 44

Following this established sequence, the next number is obtained by adding 3 to the previous term: 44 + 3 = 47

Explanation

The series is formed by the repeating three-letter pattern PTS.

When the blanks are filled with the letters from the correct option (T, P, S, T, S, S, P, S, T) in sequence, it completes the logical cycle of the three letters P, T, and S. The fully completed series is PTSPTSPTSPTSPTSPTS, which is a continuous repetition of the triplet PTS.

Explanation

The coding scheme follows an alternating mathematical pattern of adding 7 and subtracting 4 from the alphabetical positions of the letters.

For RANDOM: R (18) + 7 = 25 (Y) A (1) - 4 = 23 (W) N (14) + 7 = 21 (U) D (4) - 4 = 26 (Z) O (15) + 7 = 22 (V) M (13) - 4 = 9 (I)

Applying this same pattern of +7 and -4 to the word POWERED: P (16) + 7 = 23 (W) O (15) - 4 = 11 (K) W (23) + 7 = 30, which corresponds to 4 (D) E (5) - 4 = 1 (A) R (18) + 7 = 25 (Y) E (5) - 4 = 1 (A) D (4) + 7 = 11 (K)

This yields the coded word WKDAYAK.

Explanation

To find the day of the week on 15 July 2012 starting from 21 July 2000, we first calculate the day on 21 July 2012.

The period from 21 July 2000 to 21 July 2012 is exactly 12 years. Within this period, we count the number of leap years and ordinary years. The year 2000 is a leap year, but its leap day (29 February) occurred before 21 July 2000, so it is not counted. The leap years in this interval are 2004, 2008, and 2012 (since 29 February 2012 falls within the period).

Number of leap years = 3 (2004, 2008, 2012) Number of ordinary years = 12 - 3 = 9

Each leap year has 2 odd days and each ordinary year has 1 odd day.

Total odd days = (3 × 2) + (9 × 1) = 6 + 9 = 15 odd days

Dividing 15 by 7 to find the net odd days: 15 ÷ 7 = 2 weeks and 1 remainder (1 odd day)

Adding 1 odd day to Friday gives Saturday. Thus, 21 July 2012 is Saturday.

Now, we count backward to 15 July 2012. The difference between 21 July and 15 July is 6 days. Subtracting 6 days from Saturday (or adding 1 day, since -6 is equivalent to +1 in a weekly cycle) gives Sunday.

Explanation

The logic followed by the alike pairs is that the second number is obtained by multiplying the first number by 2 and then subtracting 11.

Second number = First number × 2 - 11

In the pair 61 : 133, this rule is violated. Applying the pattern to the first number: 61 × 2 - 11 = 122 - 11 = 111

In this pair, the second number is instead obtained by adding 11: 61 × 2 + 11 = 133

Explanation

Arranging the letters of the word DONATE in alphabetical order gives: A, D, E, N, O, T

The letter third from the left in this arrangement is E. The letter second from the right is O.

In the standard English alphabetical series, the position of E is 5 and the position of O is 15. The number of letters between them is calculated using the formula: Position of O - Position of E - 1

Substituting the values gives: 15 - 5 - 1 = 9

These nine letters are F, G, H, I, J, K, L, M, and N.

Explanation

The expression P / Q - L + N * M can be decoded step-by-step to find the relation between N and Q.

First, Q - L means Q is the sister of L. This makes Q female and L her sibling.

Second, L + N means L is the father of N. Since Q is the sister of L, L is a male, and N is the child of Q's brother.

Third, N * M means N is the brother of M, which confirms that N is male.

Since L is the brother of Q, and N is the son of L, N is the brother's son of Q.

Explanation

The series consists of three patterns for the first letter, second letter, and the number.

For the first letter, the position values in alphabetical order are A = 1, E = 5, G = 7, I = 9. The pattern shows an increment of 2 at each step. Thus, the missing first letter is 1 + 2 = 3, which corresponds to C.

For the second letter, the position values are N = 14, H = 8, E = 5, B = 2. This pattern shows a decrement of 3 at each step. Thus, the missing second letter is 14 - 3 = 11, which corresponds to K.

For the numbers, the sequence is 37, ?, 50, 58, 67. The difference between consecutive numbers increases by 1 at each step: 58 - 50 = 8 67 - 58 = 9 Following this logic, the differences from the first term must be +6 and +7. Thus, the missing number is 37 + 6 = 43, and the next term correctly follows as 43 + 7 = 50.

Combining these components yields the term CK 43.