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

Explanation

To determine which conclusions follow, we analyze the relationships between the categories.

For Conclusion I, we are given that some nibs are ink and some nibs are butter. There is no direct or indirect connection established between ink and butter. Because the set of ink and the set of butter do not have a mandatory overlapping region, we cannot conclude that some ink is butter.

For Conclusion II, we are given that all jams are butter and some nibs are butter. The set of jams is entirely contained within the set of butter, while the set of nibs only partially overlaps with the set of butter. This does not force any overlap between jams and nibs, meaning we cannot conclude that all jams are nibs.

Both conclusions fail to logically follow from the given premises.

Explanation

To find the day of the week on 11 January 2018, we calculate the total number of odd days between 19 July 2012 and 11 January 2018.

First, we calculate the odd days for the complete years from 19 July 2012 to 19 July 2017. From 19 July 2012 to 19 July 2013 has 365 days, which gives 1 odd day. From 19 July 2013 to 19 July 2014 has 365 days, which gives 1 odd day. From 19 July 2014 to 19 July 2015 has 365 days, which gives 1 odd day. From 19 July 2015 to 19 July 2016 has 366 days (since 2016 is a leap year), which gives 2 odd days. From 19 July 2016 to 19 July 2017 has 365 days, which gives 1 odd day. Summing these up, the total odd days for these years is 1 + 1 + 1 + 2 + 1 = 6 odd days.

Next, we calculate the remaining days from 19 July 2017 to 11 January 2018. The remaining days in July are 12 (31 − 19). August has 31 days, September has 30 days, October has 31 days, November has 30 days, December has 31 days, and January has 11 days. The total number of days is 12 + 31 + 30 + 31 + 30 + 31 + 11 = 176 days. Converting 176 days into odd days gives 176 mod 7 = 1 odd day.

Adding the odd days together, we get a total of 6 + 1 = 7 odd days. Since 7 mod 7 = 0, there are 0 net odd days. Thus, the day of the week on 11 January 2018 is the same as that on 19 July 2012, which is Thursday.

Explanation

The numbers in the given sets follow the mathematical relationship:

Second number = 2 × First number × Third number

Applying this logic to the provided sets: 2 × 13 × 9 = 234 2 × 15 × 6 = 180

Applying the same logic to the correct option: 2 × 14 × 7 = 196

Explanation

The given series follows a pattern where the difference between consecutive terms increases by 1 each time.

64 - 63 = 1 66 - 64 = 2 69 - 66 = 3 73 - 69 = 4

Following this pattern, the next difference must be 5.

73 + 5 = 78

Explanation

The original sequence of letters in the word DIALECT and their positions are: Position 1: D Position 2: I Position 3: A Position 4: L Position 5: E Position 6: C Position 7: T

When the letters of the word are arranged in alphabetical order, the sequence becomes: Position 1: A Position 2: C Position 3: D Position 4: E Position 5: I Position 6: L Position 7: T

Comparing the original sequence with the alphabetical sequence, only the letter T at the seventh position remains in the same place. All other letters change their positions. Thus, the position of only one letter remains unchanged.

Explanation

By interchanging the mathematical operators in the given equation as specified: is replaced by ÷ × is replaced by + The first + is replaced by × The second + is replaced by -

The equation becomes: 21 ÷ 7 + 26 × 46 - 36 = ?

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

First, perform the division: 21 ÷ 7 = 3

Next, perform the multiplication: 26 × 46 = 1196

Now, substitute these values back into the expression: 3 + 1196 - 36

Finally, perform the addition and subtraction: 1199 - 36 = 1163

Explanation

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

The odd-positioned terms (1st, 3rd, 5th, 7th, and the required 9th term) form a geometric progression where each term is multiplied by 2. Thus, the terms are: 11 × 2 = 22 22 × 2 = 44 44 × 2 = 88 88 × 2 = 176

The even-positioned terms (2nd, 4th, 6th, and 8th) form a geometric progression where each term is multiplied by 5: 4 × 5 = 20 20 × 5 = 100 100 × 5 = 500

Following the pattern of the odd-positioned sequence, the missing 9th term is calculated as 88 × 2 = 176.

Explanation

The given alphabetical series follows a specific mathematical pattern for each position of the letters in the English alphabet:

First letter: T (20) → R (18) → ? → N (14) → L (12). The pattern is a constant decrease of 2 (-2). Applying this, the first letter of the missing term is 18 - 2 = 16, which is P.

Second letter: U (21) → X (24) → ? → D (4) → G (7). The pattern is a constant increase of 3 (+3). Applying this, the second letter of the missing term is 24 + 3 = 27. Since the alphabet wraps around after 26, 27 corresponds to A.

Third letter: V (22) → R (18) → ? → J (10) → F (6). The pattern is a constant decrease of 4 (-4). Applying this, the third letter of the missing term is 18 - 4 = 14, which is N.

Combining these three letters, we get the term PAN.

Explanation

To find the code for the letter 'A', compare the letters and digits of the two coded words: 'SOAP' is coded as '4629' 'SPOT' is coded as '9824'

The letters 'S', 'O', and 'P' are common to both words. Similarly, the digits '4', '2', and '9' are common to both codes.

By eliminating these common elements, the unique letter remaining in 'SOAP' is 'A', and the unique digit remaining in its code is '6'. Therefore, 'A' is coded as '6'.

Explanation

Decoding the given expression P + Q × R - S + T step-by-step:

From R - S, R is the wife of S. This implies R is female and S is male (husband of R).

From S + T, since S is male, the symbol + in this context represents father. Thus, S is the father of T, which makes R the mother of T.

From Q × R, Q is the brother of R. Since R is the mother of T, Q is T's mother's brother.

From P + Q, here the symbol + represents daughter. Thus, P is the daughter of Q.

Combining these relations, since Q is T's mother's brother and P is the daughter of Q, P is the daughter of T's mother's brother.

Explanation

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

By applying this +1 positional shift to the letters of FHJL:

F + 1 = G H + 1 = I J + 1 = K L + 1 = M

This yields the sequence GIKM.

Explanation

The given sequence of 20 letters can be divided into four groups of five letters each:

First group: G H _ S T Second group: _ H O _ R Third group: G H O S P Fourth group: G _ O S _

By comparing the groups, a repeating pattern of the first four letters GHOS emerges, while the fifth letter in each group decreases by two positions in the reverse alphabetical order.

First group: G H O S T (with fifth letter T) Second group: G H O S R (with fifth letter R, which is T - 2) Third group: G H O S P (with fifth letter P, which is R - 2) Fourth group: G H O S N (with fifth letter N, which is P - 2)

Filling the blanks with O, G, S, H, and N in that sequence completes the logical pattern.

Explanation

Each letter-cluster except RTO follows a specific mathematical pattern based on the alphabetical positions of its letters. The pattern is to subtract 2 from the position of the first letter to get the second letter, and then subtract 3 from the position of the second letter to get the third letter.

In the case of RTO, the alphabetical positions are R = 18, T = 20, and O = 15. The difference between R and T is +2, and the difference between T and O is -5. This does not conform to the -2, -3 pattern found in the other groups, making it the odd one out.

Explanation

Comparing the two coded sentences reveals that the word meet is the only common word present in both pleased to meet and meet and greet. Similarly, looking at the corresponding code sets bj sc vw and ih bj tf, the code bj is the only common term. Therefore, by direct comparison, the code for the word meet is bj.

Explanation

Correct Answer: B

The relationship between the numbers is defined by the formula where the second number is obtained by multiplying the first number by 6:

Second number = First number × 6

Applying this to the first pair: 12 × 6 = 72

Applying this to the second pair: 19 × 6 = 114

Following the same logic for 29: 29 × 6 = 174

Explanation

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

a × c = b

In the first set (12, 132, 11): 12 × 11 = 132

In the second set (13, 104, 8): 13 × 8 = 104

Applying this same mathematical relation to the set (7, 105, 15): 7 × 15 = 105

Explanation

Interchanging the numbers 11 and 22 in the given equation yields:

136 - (176 ÷ 22) × 8 + 11 × 3

Applying the BODMAS rule:

First, solve the operation inside the parentheses: 176 ÷ 22 = 8

Substitute this back into the equation: 136 - 8 × 8 + 11 × 3

Next, perform the multiplication operations: 8 × 8 = 64 11 × 3 = 33

Substitute these values back: 136 - 64 + 33

Finally, perform the addition and subtraction: 72 + 33 = 105

The result matches the right-hand side of the equation.

Explanation

The given series follows a pattern where the difference between consecutive terms increases by 4:

27 - 23 = 4 35 - 27 = 8 47 - 35 = 12 63 - 47 = 16

The differences are consecutive multiples of 4, namely 4, 8, 12, and 16. The next difference in this sequence must be 20.

Adding 20 to the last term of the series: 63 + 20 = 83

Explanation

The relationship between the numbers in each pair follows a pattern where the second number is obtained by multiplying the first number by 9.

For the first pair: 14 × 9 = 126

For the second pair: 21 × 9 = 189

Applying the same mathematical logic to 32: 32 × 9 = 288

Explanation

The series follows a specific pattern for each letter position:

The first letter of each term increases by one in alphabetical order: T → U → V → W → X.

The second letter of each term increases by one in alphabetical order: M → N → O → P → Q.

The third letter of each term decreases by one in alphabetical order: F → E → D → C → B.

Applying this pattern to the missing term, we get W for the first letter, P for the second letter, and C for the third letter, resulting in WPC.

Explanation

The relationship in the pair Light : Blind is that a blind person lacks the physiological capacity to perceive light. Similarly, a dumb (mute) person lacks the physiological capacity to produce speech. Both pairs represent a state of being deprived of a specific sensory or expressive faculty related to the first term.

Explanation

In the expression T - R + V + S, we decode the relationships step-by-step from left to right using the given meanings of the operators:

T - R means T is the mother of R, which establishes that T is female.

R + V means R is the brother of V. Since T is the mother of R, she must also be the mother of V.

V + S means V is the son of S. Since T is already established as the mother of V, S must be the father of V.

As T is the mother of V and S is the father of V, S and T are married, which means S is the husband of T.

Explanation

Applying the interchange of operators where ÷ and × are interchanged, and + and - are interchanged, the equation 13 ÷ 3 + 2 × 2 - 11 is rewritten as:

13 × 3 - 2 ÷ 2 + 11

Following the BODMAS rule:

First, perform the division: 2 ÷ 2 = 1

This simplifies the equation to: 13 × 3 - 1 + 11

Next, perform the multiplication: 13 × 3 = 39

This simplifies the equation to: 39 - 1 + 11

Finally, perform the addition and subtraction from left to right: 38 + 11 = 49

Explanation

In the letter cluster PSU, the alphabetical positions of the letters are P = 16, S = 19, and U = 21. The difference between consecutive letters is +3 (16 + 3 = 19) and +2 (19 + 2 = 21). This sequence of differences (+3, +2) does not follow the consistent pattern of +3 differences between consecutive letters found in the other clusters.

Explanation

Correct Answer: B

The pattern is based on shifting the position of each letter in the English alphabet. For the first two letters, the shift is +5, and for the last two letters, the shift is +4.

Applying this logic to RSPM: R (18) + 5 = 23, which is W S (19) + 5 = 24, which is X P (16) + 4 = 20, which is T M (13) + 4 = 17, which is Q

This gives WXTQ.

Explanation

To find the day of the week on 7 September 2017, we first calculate the number of odd days between 15 August 2006 and 15 August 2017.

The number of years between 15 August 2006 and 15 August 2017 is 11 years. Among these 11 years, the leap years are 2008, 2012, and 2016, which makes 3 leap years, leaving 8 ordinary years. An ordinary year contains 1 odd day, while a leap year contains 2 odd days.

Total odd days from the years = (3 × 2) + (8 × 1) = 14 odd days. Since 14 is divisible by 7, the number of odd days is 0. This means 15 August 2017 is also a Tuesday.

Next, we find the number of days from 15 August 2017 to 7 September 2017. August has 31 days, so there are 16 remaining days in August (31 - 15 = 16). Adding the 7 days of September, we get a total of 23 days.

Dividing 23 by 7 gives a remainder of 2 odd days. Adding 2 odd days to Tuesday results in Thursday.

Explanation

According to the given condition, the operators + and ÷ are interchanged, and × and - are interchanged.

Applying these interchanges to the original equation: 39 ÷ 13 - 12 + 5 × 4 = ?

Applying the BODMAS rule:

First, perform the division operation: 39 ÷ 13 = 3

Next, perform the multiplication operation: 5 × 4 = 20

Substitute these values back into the equation: 3 - 12 + 20

Now, perform the addition and subtraction: 3 + 20 - 12 = 23 - 12 = 11

Explanation

The given series follows a distinct mathematical pattern for each corresponding letter position of the terms.

For the first letter of each term, the alphabetical positions increase by 5: C (3) + 5 = H (8) H (8) + 5 = M (13) M (13) + 5 = R (18) R (18) + 5 = W (23)

For the second letter of each term, the alphabetical positions increase by 2: P (16) + 2 = R (18) R (18) + 2 = T (20) T (20) + 2 = V (22) V (22) + 2 = X (24)

For the third letter of each term, the alphabetical positions increase by 4 in a cyclic manner: W (23) + 4 = A (27, which is 1) A (1) + 4 = E (5) E (5) + 4 = I (9) I (9) + 4 = M (13)

Combining the letters at these calculated positions (23, 24, 13) yields the next term in the sequence as WXM.

Explanation

By substituting the letters with their respective mathematical operators: B represents × D represents - A represents ÷ C represents +

The given expression becomes: 28 × 7 - 176 ÷ 8 + 13

Applying the BODMAS rule:

First, solve the division operation: 176 ÷ 8 = 22

Next, solve the multiplication operation: 28 × 7 = 196

Now, substitute these results back into the expression: 196 - 22 + 13

Finally, solve the addition and subtraction: 196 - 22 + 13 = 174 + 13 = 187

Explanation

The relationship between the letters is based on shifting each letter backwards by 5 positions in the English alphabetical order, wrapping around from A to Z where necessary.

Using the letter-to-number positions where A = 1, B = 2, ..., Z = 26:

For the first term ZBRL to UWMG: Z (26) - 5 = 21 (U) B (28) - 5 = 23 (W) R (18) - 5 = 13 (M) L (12) - 5 = 7 (G)

Applying this same subtraction of 5 positions to EVNA: E (5) - 5 = 26 (Z) V (22) - 5 = 17 (Q) N (14) - 5 = 9 (I) A (27) - 5 = 22 (V)

This gives the sequence ZQIV.

Explanation

To find the code for the letter I, compare the letters and numerical codes of the two given words:

RUIN is coded as 3098. TURN is coded as 9630.

The common letters between RUIN and TURN are R, U, and N. Correspondingly, the common digits in their codes 3098 and 9630 are 3, 0, and 9.

By eliminating the common letters and digits, the remaining letter in RUIN is I, and the remaining digit in its code is 8. Therefore, the letter I is coded as 8.

Explanation

To determine which conclusions follow, we analyze the relationships between the categories based on the given statements.

For Conclusion I, the statements do not establish any direct or indirect relationship between tigers and cats. Therefore, it is possible for tigers and cats to overlap, meaning we cannot conclude that no tiger is a cat.

For Conclusion II, while we know no panther is a tiger and some lions are panthers, there is no restriction preventing tigers and lions from being completely disjoint. Thus, it does not definitely follow that some lions are tigers.

For Conclusion III, we know that some lions are panthers and some lions are cats, but there is no information restricting the overlap between cats and panthers. Since they can overlap, the conclusion that no cat is a panther does not logically follow.

Since none of the individual conclusions can be definitively deduced from the statements, none of the conclusions follow.

Explanation

The series follows a specific addition pattern for each letter position in the English alphabet:

For the first letter of each term: E (5), G (7), I (9), K (11). The position increases by +2 in each step. The next letter position is 11 + 2 = 13, which corresponds to M.

For the second letter of each term: M (13), Q (17), U (21), Y (25). The position increases by +4 in each step. The next letter position is 25 + 4 = 29. Subtracting the 26 letters of the alphabet gives 3, which corresponds to C.

For the third letter of each term: U (21), A (1, or 27), G (7), M (13). The position increases by +6 in each step. The next letter position is 13 + 6 = 19, which corresponds to S.

Combining these letters yields the term MCS.

Explanation

The letters in the equation represent the following mathematical operators: A stands for ÷ (division) B stands for × (multiplication) C stands for + (addition) D stands for - (subtraction)

Substituting these operators into the given expression: 321 ÷ 3 + 11 × 10 - 19

Applying the BODMAS rule: First, perform the division operation: 321 ÷ 3 = 107

Next, perform the multiplication operation: 11 × 10 = 110

Now substitute these values back into the expression: 107 + 110 - 19

Perform addition and then subtraction: 217 - 19 = 198

Explanation

From the first two statements, some movies are videos and no video is audio. This means that the common part of movies and videos can never intersect with audios. Since there is always a portion of movies that are videos and thus cannot be audios, it is impossible for all movies to be audios. Therefore, the conclusion that all movies can never be audios definitely follows.

Regarding the second conclusion, it is given that no video is audio and all audios are songs. This does not restrict videos and songs from overlapping in a different region. Since there is a possibility that some videos can be songs, the definite conclusion that no video is a song does not follow.

Explanation

The given series is an arithmetic progression with a constant common difference of 17. Adding 17 to the last term, 319, gives the next term in the series, which is 336.

Explanation

An ordinary year consists of 365 days, which is exactly 52 weeks and 1 day. This means that in any ordinary year, the first day of the year (1 January) and the last day of the year (31 December) fall on the same day of the week.

Since 2006 is not divisible by 4, it is an ordinary year. The number of days from 1 January to 31 December is 364 days. Dividing 364 by 7 yields a remainder of 0 odd days (364 ÷ 7 = 52 weeks and 0 days). Therefore, 31 December 2006 must be the same day of the week as 1 January 2006, which is a Wednesday.

Explanation

The differences between consecutive terms in the series follow a geometric progression where each successive difference is multiplied by 3.

First difference: 876 - 865 = 11, which can be written as 11 × 3⁰ Second difference: 865 - 832 = 33, which can be written as 11 × 3¹ Third difference: 832 - 733 = 99, which can be written as 11 × 3²

Following this pattern, the fourth difference must be: 11 × 3³ = 11 × 27 = 297

Subtracting this difference from the fourth term gives the next number in the series: 733 - 297 = 436

Explanation

The series follows a pattern where the first letter decreases by 1 (G, F, E, D, C), the second letter increases by 2 (L, N, P, R, T), the third letter decreases by 3 (Y, V, S, P, M), and the fourth letter increases by 4 (C, G, K, O, S). Applying these rules to the missing term yields EPSK.

Explanation

By interchanging the mathematical signs ÷ and - with each other, and + and × with each other, the given equation becomes:

39 - 6 ÷ 3 + 9 × 4 = ?

Using the BODMAS rule, perform the operations in the order of division, multiplication, addition, and subtraction:

First, perform the division: 6 ÷ 3 = 2

Now the equation is: 39 - 2 + 9 × 4 = ?

Next, perform the multiplication: 9 × 4 = 36

Now the equation is: 39 - 2 + 36 = ?

Finally, perform addition and subtraction: 39 - 2 + 36 = 37 + 36 = 73

Explanation

The numbers in each set (a, b, c) follow a specific mathematical pattern where the second number is the square of the first number, and the third number is twice the second number. This relationship can be expressed by the formulas:

b = a² c = 2 × b

Applying this pattern to the given sets: For (4, 16, 32): 16 = 4² and 32 = 2 × 16 For (6, 36, 72): 36 = 6² and 72 = 2 × 36

Applying the same logic to the set (9, 81, 162): The second number is 9² = 81 The third number is 2 × 81 = 162

Explanation

From the given expression, A is the husband of J, J is the mother of B, B is the sister of V, and V is the father of G. This means V is the son of A, and since V is the father of G, A is the paternal grandfather of G.

Explanation

The relationship between the terms is based on shifting each letter forward by 4 positions in the English alphabetical order.

By converting the letters of the first term BHJL to their numerical positions in the alphabet: B = 2, H = 8, J = 10, L = 12

Adding 4 to each position: 2 + 4 = 6 (F) 8 + 4 = 12 (L) 10 + 4 = 14 (N) 12 + 4 = 16 (P) This gives FLNP.

Similarly, for HNPR: H (8) + 4 = 12 (L) N (14) + 4 = 18 (R) P (16) + 4 = 20 (T) R (18) + 4 = 22 (V) This gives LRTV.

Applying the same logic to JPRT: J (10) + 4 = 14 (N) P (16) + 4 = 20 (T) R (18) + 4 = 22 (V) T (20) + 4 = 24 (X)

This results in the term NTVX.

Explanation

Correct Answer: D

To find the number of letters whose positions remain unchanged, we compare the original word with its alphabetically sorted form.

Original word: H A R M O N Y

Alphabetical order of the letters: A H M N O R Y

Comparing the positions step-by-step: First letter: H becomes A (changed) Second letter: A becomes H (changed) Third letter: R becomes M (changed) Fourth letter: M becomes N (changed) Fifth letter: O remains O (unchanged) Sixth letter: N becomes R (changed) Seventh letter: Y remains Y (unchanged)

The positions of the letters O and Y remain unchanged, which gives a total of two letters.

Explanation

To solve the equation, the operators to be interchanged are addition (+) with division (÷), and subtraction (-) with multiplication (×).

The original equation is: 44 ÷ 78 + 6 - 3 × 19

Applying the interchanges (+ with ÷, and - with ×), the expression becomes: 44 + 78 ÷ 6 × 3 - 19

Following the BODMAS rule:

First, perform the division: 78 ÷ 6 = 13 The expression becomes: 44 + 13 × 3 - 19

Next, perform the multiplication: 13 × 3 = 39 The expression becomes: 44 + 39 - 19

Finally, perform addition and subtraction: 44 + 39 - 19 = 83 - 19 = 64

Explanation

By substituting the correct mathematical operators for the letters where A represents ÷, B represents ×, C represents +, and D represents -, the equation becomes:

88 × 3 - 12 ÷ 4 + 6

Applying the BODMAS rule, perform division first: 12 ÷ 4 = 3

Next, perform multiplication: 88 × 3 = 264

Finally, perform subtraction and addition from left to right: 264 - 3 + 6 = 267

Explanation

By comparing the two given coded sentences, we can identify the code for the word call.

The first sentence call on him is coded as ol ni vc. The second sentence awaiting your call is coded as ni dx sb.

The only word common to both English sentences is call, and the only code common to both coded sentences is ni. Therefore, the code for call is ni.

Explanation

Based on the statements, all aluminium is gold and all gold is copper. Using the transitive property of subsets, all aluminium must be copper, which makes Conclusion III logically true.

Additionally, since all aluminium is copper and no copper is silver, aluminium and silver share no elements. This means no aluminium is silver, which makes Conclusion I logically true.

Explanation

Each term in the series is obtained by adding 4 to the alphabetical position of the corresponding letter of the previous term.

For the first letter, the sequence of positions is D (4), H (8), L (12), P (16). Adding 4 to 16 gives 20, which corresponds to T.

For the second letter, the sequence of positions is F (6), J (10), N (14), R (18). Adding 4 to 18 gives 22, which corresponds to V.

For the third letter, the sequence of positions is A (1), E (5), I (9), M (13). Adding 4 to 13 gives 17, which corresponds to Q.

Combining these letters, the next term in the series is TVQ.

Explanation

To find the code for the word watch, we compare the two given coded sentences.

In the first sentence, watch is disturb is coded as xr pa qm. In the second sentence, don't watch him is coded as tu bg pa.

The only word common to both sentences is watch. Similarly, the only code common to both code groups is pa. Therefore, the code for watch is pa.