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

Explanation

In the given series, the letters at each position increase by 3 in alphabetical order. Applying this pattern, the next term is SQN because P+3 is S, N+3 is Q, and K+3 is N.

Explanation

Based on the coded relationships, the expression can be decoded step-by-step to find the relation between M and Q:

From the latter part of the expression: P + Q indicates P is the mother of Q. O × P indicates O is the husband of P. Since O is the husband of P and P is the mother of Q, O is the father of Q.

From the first part of the expression (where the first + is a typographical representation of the division sign ÷): N - O indicates N is the brother of O. M ÷ N (written as M + N) indicates M is the sister of N. Since M is the sister of N and N is the brother of O, M is the sister of O.

Since O is the father of Q and M is the sister of O, M is the father's sister of Q.

Explanation

To find the day of the week on 25 March 2011 starting from 19 November 2003, we calculate the total number of odd days between the two dates.

First, calculate the odd days from 19 November 2003 to 19 November 2010: Number of years = 2010 - 2003 = 7 years Within this period, the leap years are 2004 and 2008 (2 leap years). Odd days = 7 ordinary years + 2 extra days for leap years = 9 odd days. 9 mod 7 = 2 odd days.

Next, calculate the odd days from 19 November 2010 to 25 March 2011: Remaining days in November 2010 = 11 days (11 mod 7 = 4 odd days) December 2010 = 31 days (3 odd days) January 2011 = 31 days (3 odd days) February 2011 = 28 days (0 odd days) March 2011 = 25 days (25 mod 7 = 4 odd days) Total odd days for this period = 4 + 3 + 3 + 0 + 4 = 14 odd days. 14 mod 7 = 0 odd days.

Total odd days from 19 November 2003 to 25 March 2011 = 2 + 0 = 2 odd days.

Adding 2 days to Wednesday: Wednesday + 2 days = Friday.

Explanation

The relationship between the numbers in the given sets is defined by the formula: (first number * second number) + 4 = third number. Applying this logic, we have (9 * 21) + 4 = 193 and (12 * 15) + 4 = 184. In Option D, (8 * 17) + 4 = 140, which perfectly satisfies this relationship.

Explanation

By performing the correct mathematical operations on the given numbers (18, 9, 24, 3, and 16) according to the interchanged operators, the equation evaluates to 18 * 9 - 24 / 3 + 16 = 162 - 8 + 16 = 170. Thus, 170 is the correct answer.

Explanation

The pattern followed is adding +1, +2, +2, and +1 to the alphabetical positions of the letters. Applying this pattern to VURN results in W (+1), W (+2), T (+2), and O (+1), which gives WWTO.

Explanation

The alphabetical positions of the letters in PQT are P = 16, Q = 17, and T = 20. The position differences between successive letters are +1 and +3. This progression of (+1, +3) is different from the consistent (+2, +3) positional difference pattern shared by the other letter clusters in the group, where the second letter is two positions ahead of the first, and the third letter is three positions ahead of the second. This deviation makes PQT the odd one out.

Explanation

The relationship between the given numbers is based on the cube of the number.

Using the formula: Number → (Number)³

For the first pair: 4³ = 4 × 4 × 4 = 64

For the second pair: 9³ = 9 × 9 × 9 = 729

Following the same logic for 12: 12³ = 12 × 12 × 12 = 1728

Explanation

First, arrange the letters of the word MUSICAL in alphabetical order: A, C, I, L, M, S, U

Identify the required positions in this new letter cluster: The letter fourth from the left is L. The letter second from the right is S.

To find the number of letters between L and S in the English alphabetical series, use their numerical positions where L is 12 and S is 19: (19 - 12) - 1 = 6

The six letters between them in the alphabetical series are M, N, O, P, Q, and R.

Explanation

The given series follows an arithmetic progression where each subsequent term is obtained by subtracting a constant value of 9 from the preceding term.

The pattern of subtraction from right to left is: 29 - 20 = 9 38 - 29 = 9

Applying this common difference of 9 to the first term: 56 - 9 = 47

To verify: 47 - 9 = 38

This confirms that the missing number in the series is 47.

Explanation

The relationship in the given pair Withdraw : Extract is that of synonyms, as both words refer to the act of taking out or removing something. Similarly, Exploit and Utilise are synonyms, as both terms mean to make use of or employ a resource for a practical purpose.

Explanation

The given series follows a pattern where each subsequent number is obtained by subtracting 3 from the previous number.

56 - 3 = 53 53 - 3 = 50 50 - 3 = 47 47 - 3 = 44

Following the same constant difference of -3, the next number in the series is calculated as: 44 - 3 = 41

Explanation

In each of the given sets, the middle number is three times the sum of the first and the third numbers. The relationship is governed by the formula:

b = 3 × (a + c)

For the first set (59, 246, 23): 3 × (59 + 23) = 3 × 82 = 246

For the second set (68, 300, 32): 3 × (68 + 32) = 3 × 100 = 300

Applying the same formula to the set (42, 213, 29): 3 × (42 + 29) = 3 × 71 = 213

Explanation

By decoding the letter representations for the mathematical operators, we have: A stands for division (÷) B stands for multiplication (×) C stands for addition (+) D stands for subtraction (-)

Substituting these operators into the given equation: 91 B 2 D 22 A 11 C 8 becomes: 91 × 2 - 22 ÷ 11 + 8

Applying the BODMAS rule, we first perform the division operation: 22 ÷ 11 = 2 This simplifies the expression to: 91 × 2 - 2 + 8

Next, we perform the multiplication operation: 91 × 2 = 182 This simplifies the expression to: 182 - 2 + 8

Finally, performing addition and subtraction: 182 - 2 + 8 = 188

Explanation

Applying the BODMAS rule by decoding the letter symbols as mathematical operators, where A stands for ×, B stands for ÷, C stands for +, and D stands for −:

32A11D80B4C6 becomes 32 × 11 − 80 ÷ 4 + 6

First, perform the division: 80 ÷ 4 = 20

Next, perform the multiplication: 32 × 11 = 352

Finally, perform the addition and subtraction: 352 − 20 + 6 = 332 + 6 = 338

Explanation

The series follows a constant addition pattern where each corresponding letter in the subsequent term shifts forward by 3 positions in the English alphabet.

For the first letter of each term, the positions are X (24), A (1), D (4), and G (7). Adding 3 to each position gives the next letter. Since 7 + 3 = 10, the next letter is J.

For the second letter of each term, the positions are V (22), Y (25), B (2), and E (5). Adding 3 to each position gives the next letter. Since 5 + 3 = 8, the next letter is H.

For the third letter of each term, the positions are S (19), V (22), Y (25), and B (2). Adding 3 to each position gives the next letter. Since 2 + 3 = 5, the next letter is E.

Combining these three positions yields the term JHE.

Explanation

A # B means A is the mother of B.

B () C means B is the father of C.

C @ D means C is the brother of D. This makes C and D siblings. Since B is the father of C, B is also the father of D.

D | E means D is the son of E. Since B is the father of D, E must be the mother of D, which means B and E are married.

Since B is the son of A, and E is the wife of B, E is the wife of A's son, or A's son's wife.

Explanation

In the standard alphabetical order, opposite letter pairs have positional values that sum to 27. The three alike letter-clusters follow a uniform pattern where the first and second letters are opposite pairs, and the third and fourth letters are also opposite pairs. Furthermore, the third letter is obtained by adding 2 to the position of the first letter, and the fourth letter is obtained by subtracting 2 from the position of the second letter.

YCAZ does not follow this pattern. The first two letters, Y (25) and C (3), are not opposite pairs as their sum is 28, whereas opposite pairs must sum to 27. Additionally, the transition from the second to the fourth letter is C (3) to Z (26), which represents a change of -3 instead of the required -2.

Explanation

To find the day of the week on 17 November 2013, we first calculate the number of odd days between 11 November 2009 and 11 November 2013.

The duration between these two dates is exactly 4 years. In this period, 2012 is a leap year, while 2010, 2011, and 2013 are ordinary years.

Since an ordinary year contains 1 odd day and a leap year contains 2 odd days, the total number of odd days is: (3 × 1) + (1 × 2) = 5 odd days.

Adding 5 days to Wednesday, we find that 11 November 2013 was a Monday.

To find the day on 17 November 2013, we add the difference in days: 17 - 11 = 6 days.

Adding 6 days to Monday gives Sunday.

Explanation

Using the concept of odd days, we divide the given number of days by 7, which is the number of days in a week.

36 ÷ 7 = 5 weeks with a remainder of 1 day.

This remainder of 1 day represents the shift in the day of the week. Since the day after 36 days is Sunday, we subtract the 1 odd day to find the day today.

Sunday - 1 day = Saturday

Explanation

By converting the letters to their numerical positions in the alphabet (A = 1, B = 2, ..., Z = 26), we can determine the pattern for each position of the letter-clusters.

The first letter of each cluster increases by 3 in each step: I (9) + 3 = L (12), L (12) + 3 = O (15), O (15) + 3 = R (18), and R (18) + 3 = U (21).

The second letter of each cluster increases by 2 in each step: P (16) + 2 = R (18), R (18) + 2 = T (20), T (20) + 2 = V (22), and V (22) + 2 = X (24).

The third letter of each cluster increases by 1 in each step: X (24) + 1 = Y (25), Y (25) + 1 = Z (26), Z (26) + 1 = A (1), and A (1) + 1 = B (2).

Applying these additions of +3, +2, and +1 to the first cluster IPX results in the letters L, R, and Y.

Explanation

By comparing the letter sets of the two coded words, we can identify the unique letter and its corresponding code digit.

The word FORK consists of the letters F, O, R, and K, and is coded using the digits 1, 5, 6, and 8.

The word FROG consists of the letters F, R, O, and G, and is coded using the digits 1, 5, 8, and 9.

The common letters in both words are F, O, and R, which must correspond to the common digits 1, 5, and 8.

The only letter unique to FORK is K, and the only digit unique to the code of FORK is 6. Thus, K is coded as 6.

Explanation

Each letter in the first group is shifted forward by three positions in the English alphabetical order to obtain the corresponding letter in the second group.

Applying this constant shift of +3 to each letter of PQTV:

P is shifted by 3 positions to obtain S Q is shifted by 3 positions to obtain T T is shifted by 3 positions to obtain W V is shifted by 3 positions to obtain Y

Combining these results yields the letter group STWY.

Explanation

By replacing the letters with their correct mathematical operators: A stands for ÷ (division) B stands for × (multiplication) C stands for + (addition) D stands for - (subtraction)

Substituting these operators into the given equation: 45 × 6 - 78 ÷ 3 + 15

Applying the BODMAS rule: First, perform division: 78 ÷ 3 = 26

Next, perform multiplication: 45 × 6 = 270

Now, perform addition and subtraction: 270 - 26 + 15 = 259

Explanation

The relationship between the letters of the words follows a specific positional pattern in the English alphabet:

First to last: The first letter of the first word increases by 1 to become the last letter of the second word. For TOWB to CVDU, T + 1 = U. For VKFA to BRMW, V + 1 = W.

Last to first: The last letter of the first word increases by 1 to become the first letter of the second word. For TOWB to CVDU, B + 1 = C. For VKFA to BRMW, A + 1 = B.

Second to second: The second letter increases by 7. For TOWB to CVDU, O (15) + 7 = V (22). For VKFA to BRMW, K (11) + 7 = R (18).

Third to third: The third letter increases by 7. For TOWB to CVDU, W (23) + 7 = D (4, cyclically). For VKFA to BRMW, F (6) + 7 = M (13).

Applying this logic to CMZU: Last to first: U (21) + 1 = V (22) Second to second: M (13) + 7 = T (20) Third to third: Z (26) + 7 = G (7, cyclically) First to last: C (3) + 1 = D (4)

Thus, CMZU is related to VTGD.

Explanation

The given series is an alternating series consisting of two separate sequences interleaved together.

The first sequence consists of the terms at the odd positions: 1st term: 454 3rd term: 426 (454 - 28 = 426) 5th term: 398 (426 - 28 = 398) 7th term: 370 (398 - 28 = 370) 9th term: ? (370 - 28 = 342)

The second sequence consists of the terms at the even positions: 2nd term: 515 4th term: 481 (515 - 34 = 481) 6th term: 447 (481 - 34 = 447) 8th term: 413 (447 - 34 = 413)

By subtracting 28 from the 7th term (370), we obtain the next term in the series: 370 - 28 = 342

Explanation

By comparing the words 'power' and 'rain', the only common letter in both words is 'r'. Similarly, comparing their respective codes '45978' and '7312', the only common digit is '7'. Therefore, the code for 'r' is '7'.

Explanation

To find the relation of F with D from the expression D + E x F - G, we analyze the connections step by step.

D + E means D is the husband of E. This makes D the husband (male) and E the wife (female).

E x F means E is the mother of F. Because D is married to E, D must be the father of F.

F - G means F is the sister of G. This establishes that F is female.

Since D is the father of F, and F is female, F is the daughter of D.

Explanation

According to the given condition, we interchange "+" with "-" and "×" with "÷".

Substituting these signs into the original equation: 61 - 80 + 48 ÷ 3 × 5 = ?

Applying the BODMAS rule:

First, perform the division operation: 48 ÷ 3 = 16

The equation becomes: 61 - 80 + 16 × 5 = ?

Next, perform the multiplication operation: 16 × 5 = 80

The equation becomes: 61 - 80 + 80 = ?

Finally, perform the addition and subtraction: 61 - 80 + 80 = 61

Explanation

The series follows a pattern where the difference between consecutive terms increases by successive perfect squares starting from 2².

16 - 12 = 4 = 2² 25 - 16 = 9 = 3² 41 - 25 = 16 = 4² 66 - 41 = 25 = 5²

To find the next term, the next perfect square in the sequence, which is 6² = 36, must be added to the last term of the series:

66 + 36 = 102

Explanation

In the given sets, the numbers follow an arithmetic progression where the common difference between consecutive terms is 14.

For the first set (75, 89, 103): 89 - 75 = 14 103 - 89 = 14

For the second set (98, 112, 126): 112 - 98 = 14 126 - 112 = 14

Applying this same relation to the set (82, 96, 110): 96 - 82 = 14 110 - 96 = 14

This confirms that the numbers in this set follow the exact same pattern.

Explanation

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

35 + 16 × 3 - 156 / 12

Using the BODMAS rule, perform the operations in the order of Division, Multiplication, Addition, and Subtraction:

First, perform division: 156 / 12 = 13

Next, perform multiplication: 16 × 3 = 48

The equation now becomes: 35 + 48 - 13

Perform addition: 35 + 48 = 83

Finally, perform subtraction: 83 - 13 = 70

Explanation

The original word is TRAMPOLINE. Arranging its letters in alphabetical order from left to right gives the newly formed word: A, E, I, L, M, N, O, P, R, T

In this newly formed word, the fourth letter from the left is L, and the first letter from the right is T.

In the English alphabetical series, the position of L is 12 and the position of T is 20. The number of letters between them is calculated as: 20 - 12 - 1 = 7

The seven letters in the English alphabetical series between L and T are M, N, O, P, Q, R, and S.

Explanation

For Conclusion I, the statement "All streams are grass" means that the category of streams is entirely contained within the category of grass. This does not guarantee that all grass are streams, as there can be grass that lies outside the category of streams. Therefore, Conclusion I does not logically follow.

For Conclusion II, the statements show that some rivers are huts and some grass are rivers. This does not establish any direct relation or mandatory overlap between grass and huts. The grass and huts circles could be entirely disjoint, with each only intersecting different parts of the rivers circle. Therefore, Conclusion II does not logically follow.

Explanation

The logic followed in the given pairs is that the second number is three times the first number.

Using the formula: Second number = First number × 3

For the first pair: 13 × 3 = 39

For the second pair: 25 × 3 = 75

Applying the same logic to 42: 42 × 3 = 126

Explanation

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

Group 1: Z Y _ W Group 2: Z T X _ Group 3: Z _ X U Group 4: _ J X T

By substituting the letters X, V, O, and Z into the blanks, we get:

Group 1: Z Y X W Group 2: Z T X V Group 3: Z O X U Group 4: Z J X T

The pattern is determined as follows:

The first and third letters in every group are constant: Z and X. This gives X for the first blank (Group 1) and Z for the fourth blank (Group 4).

The second letters of each group decrease by 5 positions in alphabetical order: Y (25) → T (20) → O (15) → J (10). This gives O for the third blank (Group 3).

The fourth letters of each group decrease by 1 position in alphabetical order: W (23) → V (22) → U (21) → T (20). This gives V for the second blank (Group 2).

Combining the filled letters in sequence yields X, V, O, Z.

Explanation

Jihaan states that he is the only son of one of the sons of Madhav's mother.

The sons of Madhav's mother refer to Madhav himself and his brothers.

If the phrase refers to Madhav himself, then Jihaan is the son of Madhav, making Madhav his father.

If the phrase refers to Madhav's brother, then Jihaan is the son of Madhav's brother, making Madhav his paternal uncle.

Thus, Madhav is either the father or the paternal uncle of Jihaan.

Explanation

To find the day of the week on 17 April 2011 starting from Friday, 05 August 2005, we can calculate the total number of odd days between the two dates.

First, calculate the odd days from 05 August 2005 to 05 August 2011. This interval consists of exactly 6 years. Within these 6 years, there is 1 leap year (2008) and 5 ordinary years (2006, 2007, 2009, 2010, 2011). Total odd days = (5 × 1) + (1 × 2) = 7 odd days, which is equivalent to 0 odd days. Therefore, 05 August 2011 is also a Friday.

Next, count the number of days backwards from 05 August 2011 to 17 April 2011: Days in August = 5 days Days in July = 31 days Days in June = 30 days Days in May = 31 days Days in April = 13 days (from 17 April to 30 April) Total days to subtract = 5 + 31 + 30 + 31 + 13 = 110 days.

Dividing 110 by 7 gives a remainder of 5 odd days. Subtracting 5 days from Friday (which is equivalent to adding 2 days to Friday) results in Sunday.

Explanation

The relation between the three numbers (a, b, c) in the given sets is defined by the formula:

a = b × c - 1

Applying this formula to the given sets: For (111, 16, 7): 16 × 7 - 1 = 112 - 1 = 111

For (167, 14, 12): 14 × 12 - 1 = 168 - 1 = 167

Applying the same relation to the set (131, 12, 11): 12 × 11 - 1 = 132 - 1 = 131

Explanation

To find the day of the week on 19 February 2012, we calculate the total number of odd days between 15 August 2006 and 19 February 2012.

First, calculate the odd days from 15 August 2006 to 15 August 2011: The number of years passed is 5 years. Among these, 2008 is a leap year (having 2 odd days) and the other 4 years (2007, 2009, 2010, 2011) are ordinary years (each having 1 odd day). Number of odd days = 4 × 1 + 1 × 2 = 6 odd days.

Next, calculate the remaining days from 15 August 2011 to 19 February 2012: August 2011: 16 days remaining September 2011: 30 days October 2011: 31 days November 2011: 30 days December 2011: 31 days January 2012: 31 days February 2012: 19 days

Total number of days = 16 + 30 + 31 + 30 + 31 + 31 + 19 = 188 days. Number of odd days in 188 days = 188 mod 7 = 6 odd days.

Total odd days = 6 (from 2006 to 2011) + 6 (from Aug 2011 to Feb 2012) = 12 odd days. Total odd days = 12 mod 7 = 5 odd days.

Adding 5 days to Tuesday results in Sunday.

Explanation

By interchanging × with ÷ and + with -, the equation 91 × 7 + 27 - 7 ÷ 13 becomes:

91 ÷ 7 - 27 + 7 × 13

According to the BODMAS rule, perform the operations in the order of division, multiplication, addition, and subtraction.

First, perform the division: 91 ÷ 7 = 13

Next, perform the multiplication: 7 × 13 = 91

Substitute these values back into the expression: 13 - 27 + 91

Finally, perform the addition and subtraction: 13 - 27 + 91 = -14 + 91 = 77

Explanation

To find the missing term, we analyze the pattern of each letter position in the given series based on their alphabetical values:

The first letters increase by 9 positions in each step: C (3) + 9 = L (12) L (12) + 9 = U (21) U (21) + 9 = D (30, which is 4) D (4) + 9 = M (13) This gives the first letter as U.

The second letters increase by 7 positions in each step: K (11) + 7 = R (18) R (18) + 7 = Y (25) Y (25) + 7 = F (32, which is 6) F (6) + 7 = M (13) This gives the second letter as Y.

The third letters increase by 10 positions in each step: S (19) + 10 = C (29, which is 3) C (3) + 10 = M (13) M (13) + 10 = W (23) W (23) + 10 = G (33, which is 7) This gives the third letter as M.

Combining these letters gives the term UYM.

Explanation

Correct Answer: D

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

The common difference d is calculated as: 171 - 119 = 52 223 - 171 = 52 275 - 223 = 52 327 - 275 = 52

Since the common difference is constantly 52, the next term in the series is: 327 + 52 = 379

Explanation

The given series is based on adding consecutive multiples of 9 to the preceding term.

First difference: 13 - 4 = 9, which is 9 × 1.

Following this pattern, the next difference must be 9 × 2 = 18. The missing term is calculated as: 13 + 18 = 31

This pattern holds true for the rest of the series: 31 + 27 = 58 (where 27 is 9 × 3) 58 + 36 = 94 (where 36 is 9 × 4) 94 + 45 = 139 (where 45 is 9 × 5) 139 + 54 = 193 (where 54 is 9 × 6)

Explanation

In the letter-clusters OPSN, VWZU, and MNQL, the pattern of position changes between consecutive letters is +1, +3, and -5. EFHD does not follow this pattern, as the position changes are +1, +2, and -4.

Explanation

The relation between the numbers follows the linear formula y = 2x + 17, where x is the first number and y is the second number.

Applying this logic to the first pair: 2 × 21 + 17 = 42 + 17 = 59

Applying this logic to the second pair: 2 × 32 + 17 = 64 + 17 = 81

Applying the same logic to the target number 29: 2 × 29 + 17 = 58 + 17 = 75

Explanation

The expression E | P @ D % K # L can be decoded step-by-step:

E | P means E is the wife of P, which implies E is female and P is male.

P @ D means P is the son of D.

D % K means D is the father of K.

From P @ D and D % K, it is clear that P and K are siblings. Since P is male, P is the brother of K.

Since E is married to P, E is the wife of K's brother. Therefore, E is K's brother's wife.

Explanation

By comparing the two coded sentences: 'this is music' is written as 'Ta Bu Ka' 'who touched this' is written as 'Pi Ka Bi'

The word common to both sentences is 'this', and the corresponding code common to both code groups is 'Ka'. Thus, the code for 'this' is 'Ka'.

Explanation

After interchanging the signs + with - and × with ÷, the given equation 34 + 56 × 8 ÷ 2 - 16 becomes:

34 - 56 ÷ 8 × 2 + 16

Applying the BODMAS rule to solve the expression:

First, perform the division operation: 56 ÷ 8 = 7

The equation becomes: 34 - 7 × 2 + 16

Next, perform the multiplication operation: 7 × 2 = 14

The equation becomes: 34 - 14 + 16

Finally, perform the addition and subtraction operations: 34 - 14 + 16 = 20 + 16 = 36

Explanation

Correct Answer: A

Based on the given statements, we can analyze the validity of each conclusion:

To evaluate Conclusion (I), "Some buttons are shoes", we look at the relationship between shoes, ties, pants, and buttons. All shoes are ties, some ties are pants, and all pants are buttons. Since the set of shoes is entirely within the set of ties, and the set of buttons contains all pants, there is no statement that forces the set of shoes to overlap with the set of pants or buttons. It is possible for the set of shoes to be entirely separate from the set of buttons. Therefore, Conclusion (I) does not logically follow.

To evaluate Conclusion (II), "No ties are buttons", we know from the statements that some ties are pants and all pants are buttons. Any element that is both a tie and a pants must also be a button. This guarantees that there is an overlap between ties and buttons, meaning "Some ties are buttons" is definitely true. This directly contradicts the claim that "No ties are buttons". Therefore, Conclusion (II) does not logically follow.