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

Explanation

Each letter of the first term is shifted one position forward (+1) in the English alphabetical order to obtain the corresponding letter of the second term.

Applying this logic to the given pairs: U + 1 = V O + 1 = P K + 1 = L G + 1 = H

Similarly: K + 1 = L Q + 1 = R W + 1 = X Y + 1 = Z

Following the same pattern for AMSW: A + 1 = B M + 1 = N S + 1 = T W + 1 = X

Thus, AMSW is related to BNTX.

Explanation

The relationship between the numbers in the standard pairs is that the second number is the square of the first number, represented as x to x². In the pair 4- 64, the second number is the cube of the first number (4³ = 64) rather than its square, which would be 16.

Explanation

To determine which conclusions follow, we analyze the relationship between the terms using the given statements.

Combining the second and third statements, All cartoons are rivers and All rivers are shadows, shows that the set of cartoons is entirely contained within the set of rivers, which in turn is entirely contained within the set of shadows. This means the set of cartoons is entirely contained within the set of shadows, validating conclusion II: All cartoons are shadows.

Combining the first statement with this relationship, Some pencils are cartoons, and since all cartoons are shadows, those pencils that are cartoons must also be shadows. This establishes a mutual intersection between the set of pencils and the set of shadows, validating conclusion III: Some shadows are pencils.

Since the first statement only establishes that some pencils are cartoons, it is not possible to conclude that all pencils are shadows, meaning conclusion I does not follow. Therefore, both conclusions II and III logically follow.

Explanation

Analyzing the pattern for each letter position across the terms in the series using their alphabetical values where A = 1, B = 2, ..., Z = 26:

First letter: Y (25) + 9 = H (34, which is 34 - 26 = 8) H (8) + 9 = Q (17) Q (17) + 9 = Z (26) Z (26) + 9 = I (35, which is 35 - 26 = 9)

Second letter: Z (26) + 4 = D (30, which is 30 - 26 = 4) D (4) + 4 = H (8) H (8) + 4 = L (12) L (12) + 4 = P (16)

Third letter: N (14) - 5 = I (9) I (9) - 5 = D (4) D (4) - 5 = Y (25, by moving backward from D) Y (25) - 5 = T (20)

Combining these letters yields IPT.

Explanation

The words idle and active are antonyms, which means they have opposite meanings. Idle refers to being inactive, lazy, or doing nothing, whereas active refers to being energetic, busy, or participating in action. This relationship of opposites distinguishes this pair from the others, which consist of synonyms.

Explanation

The difference between consecutive terms in the series doubles with each step, following the pattern of powers of 2.

The first difference is 337 - 333 = 4 (which is 2²). The second difference is 345 - 337 = 8 (which is 2³). Following this pattern, the next difference must be 8 × 2 = 16 (which is 2⁴). Adding this difference to the third term gives the missing value: 345 + 16 = 361.

To verify, the subsequent difference must be 16 × 2 = 32 (which is 2⁵). Adding 32 to the calculated term yields 361 + 32 = 393, which matches the final term of the series.

Explanation

Interchanging the operators ÷ and × in the given equation makes the expression mathematically correct.

The original equation is: 14 - 96 × 24 + 16 ÷ 4 = 74

Substituting × with ÷ and ÷ with ×, the equation becomes: 14 - 96 ÷ 24 + 16 × 4 = 74

According to the BODMAS rule, division is performed first: 96 ÷ 24 = 4 This simplifies the equation to: 14 - 4 + 16 × 4 = 74

Next, multiplication is performed: 16 × 4 = 64 This simplifies the equation to: 14 - 4 + 64 = 74

Finally, performing addition and subtraction from left to right: 10 + 64 = 74 74 = 74

Since the Left Hand Side equals the Right Hand Side, the equation is balanced.

Explanation

The statements define relations between three pairs of sets: Bagels and Eggs, Bagels and Cheese, and Cheese and Smiles.

To evaluate Conclusion (I), we look for a definite connection between Cheese and Eggs. The statements only establish that some Bagels are Eggs and some Bagels are Cheese. This does not guarantee any overlapping area between the set of Cheese and the set of Eggs. Thus, Conclusion (I) does not logically follow.

To evaluate Conclusion (II), we look for a definite connection between Bagels and Smiles. The statements only establish that some Bagels are Cheese and some Cheese are Smiles. There is no direct or indirect relation that ensures an overlap between the set of Bagels and the set of Smiles. Thus, Conclusion (II) does not logically follow.

Since neither conclusion definitely follows from the given statements, both conclusions (I) and (II) do not follow.

Explanation

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

For the first letter: D (4) + 6 = 10, which is J. For the second letter: M (13) + 6 = 19, which is S. For the third letter: J (10) + 6 = 16, which is P. For the fourth letter: N (14) + 6 = 20, which is T.

Applying this pattern to DMJN yields JSPT.

Explanation

The relationship between the first number x and the second number y is defined by the formula:

y = 4x + 2

Applying this formula to the given numbers:

For 12: 4 × 12 + 2 = 48 + 2 = 50

For 19: 4 × 19 + 2 = 76 + 2 = 78

Using the same logic for 13:

4 × 13 + 2 = 52 + 2 = 54

Explanation

The pattern followed is that each letter in the word is shifted forward by one position in the alphabetical sequence.

Applying this rule to the first term, SXYU: S is followed by T, X is followed by Y, Y is followed by Z, and U is followed by V, resulting in TYZV.

Applying this rule to the second term, GLMI: G is followed by H, L is followed by M, M is followed by N, and I is followed by J, resulting in HMNJ.

Applying the same rule to the term QVWS: Q is followed by R, V is followed by W, W is followed by X, and S is followed by T, which results in RWXT.

Explanation

Each letter group follows a specific mathematical pattern based on the alphabetical positions of its letters, where A = 1, B = 2, ..., Z = 26.

For the three similar groups, the difference between the first and second letters is +2, and the difference between the second and third letters is +8: TVD: T (20) + 2 = V (22), and V (22) + 8 = 30, which corresponds to D (4) after cycling through the 26 letters of the alphabet. FHP: F (6) + 2 = H (8), and H (8) + 8 = P (16). LNV: L (12) + 2 = N (14), and N (14) + 8 = V (22).

For KMV, the pattern is different as the second gap is +9 instead of +8: KMV: K (11) + 2 = M (13), and M (13) + 9 = V (22).

Explanation

The given series of letter-clusters follows a consistent pattern for each position of the letters in the alphabetical order.

For the first letter, the alphabetical position increases by 3: B (2) + 3 = E (5), E (5) + 3 = H (8), H (8) + 3 = K (11), and K (11) + 3 = N (14). Thus, the first letter is H.

For the second letter, the alphabetical position decreases by 2: P (16) - 2 = N (14), N (14) - 2 = L (12), L (12) - 2 = J (10), and J (10) - 2 = H (8). Thus, the second letter is L.

For the third letter, the alphabetical position increases by 3 in a cyclic manner: Y (25) + 3 = B (2), B (2) + 3 = E (5), E (5) + 3 = H (8), and H (8) + 3 = K (11). Thus, the third letter is E.

Combining these three letters, we obtain HLE.

Explanation

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: 8 - 5 = 3 11 - 8 = 3 14 - 11 = 3 17 - 14 = 3

Using the formula for the nth term of an arithmetic progression, aₙ = a + (n - 1)d, where the first term a = 5, the common difference d = 3, and we want to find the sixth term (n = 6):

a₆ = 5 + (6 - 1) × 3 a₆ = 5 + 5 × 3 a₆ = 5 + 15 a₆ = 20

Explanation

The logic followed in the consistent number pairs is that the first number is obtained by multiplying the second number by 5 and then adding 5 to the product.

First number = (Second number × 5) + 5

For the pair 80 : 13, applying this logic gives: (13 × 5) + 5 = 65 + 5 = 70

Since the result is 70 and not 80, this pair does not follow the pattern, making it the odd one out.

Explanation

By comparing the words CHAP and PACE, the common letters are C, A, and P. Comparing their respective codes 9756 and 5963, the common digits are 9, 5, and 6. This indicates that the letters C, A, and P correspond to the digits 9, 5, and 6 in some order. The remaining letter in CHAP is H, and the remaining digit in its code 9756 is 7. Consequently, H is coded as 7.

Explanation

To find the day of the week on 11 September 1919, we calculate the total number of odd days between 5 May 1911 and 11 September 1919.

First, calculate the odd days from 5 May 1911 to 5 May 1919: Number of years = 1919 - 1911 = 8 years Leap years in this interval are 1912 and 1916 (2 leap years) Ordinary years = 8 - 2 = 6 ordinary years Each leap year has 2 odd days and each ordinary year has 1 odd day. Odd days from years = (2 × 2) + (6 × 1) = 10 odd days Since 10 divided by 7 leaves a remainder of 3, this is equivalent to 3 odd days.

Next, calculate the odd days from 5 May 1919 to 11 September 1919: May: 26 remaining days (31 - 5), which gives 26 mod 7 = 5 odd days June: 30 days, which gives 30 mod 7 = 2 odd days July: 31 days, which gives 31 mod 7 = 3 odd days August: 31 days, which gives 31 mod 7 = 3 odd days September: 11 days, which gives 11 mod 7 = 4 odd days Total odd days from the months = 5 + 2 + 3 + 3 + 4 = 17 odd days Since 17 divided by 7 leaves a remainder of 3, this is equivalent to 3 odd days.

Total odd days = 3 (from years) + 3 (from months) = 6 odd days.

Adding 6 days to Friday (or subtracting 1 day) gives Thursday.

Explanation

According to the given statements, all magnets are poles, and all poles are telescopes. This establishes that magnets are a subset of poles, which in turn are a subset of telescopes.

Conclusion (I) states that all telescopes are magnets. Since magnets are a subset of telescopes, we can only conclude that some telescopes are magnets, but not all telescopes must be magnets. Thus, conclusion (I) does not logically follow.

Conclusion (II) states that some poles are computers. The third statement tells us that some telescopes are computers. While there is an intersection between telescopes and computers, this intersection does not necessarily have to overlap with the subset of poles. Since no direct relationship is established between poles and computers, conclusion (II) does not logically follow.

Explanation

Since the day after tomorrow is Monday, tomorrow is Sunday, which means today is Saturday.

To find the day of the week 50 days ago from today, we determine the number of odd days by dividing 50 by 7.

50 = 7 × 7 + 1

This leaves a remainder of 1, meaning 50 days ago is equivalent to 1 day before today. Subtracting 1 day from Saturday gives Friday.

Explanation

The operators are interchanged as follows:

• is interchanged with - (so + becomes - and - becomes +) × is interchanged with ÷ (so × becomes ÷ and ÷ becomes ×)

Substituting these interchanges into the original equation: 9 × 576 ÷ 24 - 109 + 7 = ?

Applying the BODMAS rule: 9 × 24 - 109 + 7 = ? 216 - 109 + 7 = ? 107 + 7 = 114

Explanation

To find how E is related to L in the expression C # D + E # G + L, we decode the relevant relations from left to right:

First, E # G means E is the wife of G. This indicates E is female and married to G.

Second, G + L means G is the father of L.

Since G is the father of L and E is the wife of G, it directly follows that E is the mother of L.

Explanation

The 4th day before Monday is Thursday. Therefore, the 20th day of the month is Thursday.

To find the day of the week on the 1st of the month, we calculate the number of days backward from the 20th to the 1st: 20 - 1 = 19 days.

Dividing 19 by 7 gives a remainder of 5 (19 = 2 × 7 + 5), which represents 5 odd days.

Counting backward 5 days from Thursday (or forward 2 days, since 7 - 5 = 2) results in Saturday.

Explanation

The letter-cluster TQP does not follow the common pattern shared by the other groups. In the standard alphabetical positions where A = 1, B = 2, and so on, the correct pattern decreases by 2 and then by 1. For example, from the first letter to the second letter is a decrease of 2, and from the second letter to the third letter is a decrease of 1. In the case of TQP, the positions are T = 20, Q = 17, and P = 16. The decrease from T to Q is 3, and from Q to P is 1, which violates the established -2, -1 progression.

Explanation

The terms of the series follow the pattern Tₙ = 6 × n², where n represents the position of the term starting from 1.

For n = 1: 6 × 1² = 6 For n = 2: 6 × 2² = 24 For n = 3: 6 × 3² = 54 For n = 4: 6 × 4² = 96 For n = 5: 6 × 5² = 150

Following this pattern, the next term for n = 6 is 6 × 6² = 6 × 36 = 216.

Explanation

The relationship between the first number n and the second number in the group is n × (n + 1).

In the pair 6 - 48, the second number is obtained by multiplying 6 by 8, which is 6 × (6 + 2) = 48. This does not follow the pattern of multiplying the first number by its consecutive next integer, which would yield 6 × 7 = 42.

Explanation

From the given statements, the relationship between Potatoes, Fries, and Snacks can be represented as the set of Potatoes being a subset of Fries, and Fries being a subset of Snacks. Applying the transitive property, the set of Potatoes is entirely contained within the set of Snacks. Therefore, all Potatoes are Snacks, making conclusion (I) valid.

Furthermore, we are given that some Chips are Potatoes, which means there is an intersection between the set of Chips and the set of Potatoes. Since all Potatoes are Snacks, the intersecting portion between Chips and Potatoes is also part of the set of Snacks. This guarantees that there are elements which are common to both Snacks and Chips, meaning some Snacks are Chips. Thus, conclusion (II) is also valid.

Explanation

The given series follows a pattern where the differences between consecutive terms increase by a constant value of 10.

The difference between the first and second terms is: 97 - 31 = 66

The difference between the fifth and sixth terms is: 461 - 355 = 106

The difference between the fourth and fifth terms is: 355 - 259 = 96

The sequence of differences between consecutive terms forms an arithmetic progression: 66, 76, 86, 96, and 106, where each subsequent difference increases by 10.

Using this progression of differences, the missing third term is calculated by adding 76 to the second term: 97 + 76 = 173

To verify, adding the next difference of 86 to 173 yields the fourth term: 173 + 86 = 259

Explanation

The relationship between the letters is determined by adding decreasing values of 5, 4, 3, and 2 to the alphabetical positions of each corresponding letter in the four-letter word.

Applying this logic to JHLP: J (10) + 5 = 15 (O) H (8) + 4 = 12 (L) L (12) + 3 = 15 (O) P (16) + 2 = 18 (R)

This yields OLOR.

Applying the same logic to FDHL: F (6) + 5 = 11 (K) D (4) + 4 = 8 (H) H (8) + 3 = 11 (K) L (12) + 2 = 14 (N)

This yields KHKN.

Explanation

By comparing the letters in the words PRINT and NITRO, the common letters are R, I, N, and T.

By comparing their respective numerical codes, 38724 and 23687, the common digits are 2, 3, 7, and 8. This means the set of letters {R, I, N, T} corresponds to the set of digits {2, 3, 7, 8} in some order.

The only remaining letter in NITRO is O, and the only remaining digit in its code is 6. Therefore, the code for O is 6.

Explanation

To find the relation between Q and L from the expression Q × C + R ÷ G - L:

Q × C indicates that Q is the husband of C. This makes Q male and C female.

C + R indicates that C is the mother of R. Since Q is married to C, Q is the father of R.

R ÷ G indicates that R is the sister of G. Because R and G are siblings, Q and C are also the parents of G, meaning Q is the father of G.

G - L indicates that G is the father of L.

Since G is the father of L and Q is the father of G, Q is the father's father of L.

Explanation

The coding scheme shifts each letter of the word forward by 4 positions in the alphabetical order.

Applying this pattern to the letters of the word SOLDIER:

S is the 19th letter, and 19 + 4 = 23, which is W. O is the 15th letter, and 15 + 4 = 19, which is S. L is the 12th letter, and 12 + 4 = 16, which is P. D is the 4th letter, and 4 + 4 = 8, which is H. I is the 9th letter, and 9 + 4 = 13, which is M. E is the 5th letter, and 5 + 4 = 9, which is I. R is the 18th letter, and 18 + 4 = 22, which is V.

Combining these letters in order gives WSPHMIV.

Explanation

The given series follows a specific pattern of decreasing alphabetical positions for each corresponding letter in the triplets.

For the first letter, the position decreases by 5 in each step. Starting from D (4, which can be represented as 30), subtracting 5 gives Y (25). Subtracting 5 from Y gives T (20). Subtracting 5 from T gives O (15). Subtracting 5 from O gives J (10).

For the second letter, the position decreases by 3 in each step. Starting from R (18), subtracting 3 gives O (15). Subtracting 3 from O gives L (12). Subtracting 3 from L gives I (9). Subtracting 3 from I gives F (6).

For the third letter, the position decreases by 1 in each step. Starting from H (8), subtracting 1 gives G (7). Subtracting 1 from G gives F (6). Subtracting 1 from F gives E (5). Subtracting 1 from E gives D (4).

Combining these derived letters gives JFD.

Explanation

To balance the equation, we substitute the operators ÷ and × with each other on the left-hand side:

19 - 39 ÷ 3 + 25 × 5

Applying the BODMAS rule:

First, perform the division operation: 39 ÷ 3 = 13 The equation becomes: 19 - 13 + 25 × 5

Next, perform the multiplication operation: 25 × 5 = 125 The equation becomes: 19 - 13 + 125

Finally, perform addition and subtraction: 6 + 125 = 131

This matches the right-hand side of the equation.

Explanation

The pattern followed by the numbers in the pairs is that the second number is equal to six times the first number minus one.

If the first number is x and the second number is y, the relation is: y = (x - 1) × 6

Applying this relation to the consistent pairs: (16 - 1) × 6 = 15 × 6 = 90 (21 - 1) × 6 = 20 × 6 = 120 (41 - 1) × 6 = 40 × 6 = 240

Applying the same relation to the number 32 gives: (32 - 1) × 6 = 31 × 6 = 186

Since the second number in this pair is 201 instead of 186, it does not follow the same pattern.

Explanation

The relationship between the first number and the second number in the given sets is established by dividing the first number by 5 and then adding 5 to the quotient.

Using the formula: Second number = (First number ÷ 5) + 5

For the set (125, 30), dividing 125 by 5 gives 25, and adding 5 yields 30.

For the set (615, 128), dividing 615 by 5 gives 123, and adding 5 yields 128.

Following the same logic for the pair (225, 50), dividing 225 by 5 gives 45, and adding 5 yields 50.

Explanation

The relationship between the three numbers in each set follows the logic that the second number is equal to the difference between the squares of the first and third numbers.

Formula: Second number = (First number)² - (Third number)²

Applying this logic to the given sets: 9:32:7 → 9² - 7² = 81 - 49 = 32 11:96:5 → 11² - 5² = 121 - 25 = 96

Applying the same logic to the set in option B: 6:27:3 → 6² - 3² = 36 - 9 = 27

Explanation

In this letter series each of the three letters in a cluster moves forward by three places in the alphabet from one term to the next: J, M, P, S, V; H, K, N, Q, T; and F, I, L, O, R. So the missing term following PNL and preceding VTR must be SQO.

Explanation

The pattern is determined by analyzing the relationships between the letters and numbers of the related pairs.

In the first pair, WF 18 relates to ZI 13: The alphabetical position of W is 23, and adding 3 gives 26, which is Z. The alphabetical position of F is 6, and adding 3 gives 9, which is I. The number 18 is decreased by 5 to get 13.

In the second pair, NT 16 relates to QW 11: The alphabetical position of N is 14, and adding 3 gives 17, which is Q. The alphabetical position of T is 20, and adding 3 gives 23, which is W. The number 16 is decreased by 5 to get 11.

Following the same logic for SL 19: The alphabetical position of S is 19, and adding 3 gives 22, which is V. The alphabetical position of L is 12, and adding 3 gives 15, which is O. The number 19 is decreased by 5 to get 14.

This gives VO 14.

Explanation

To find the day of the week 380 days after Friday, we calculate the number of odd days by dividing the total days by 7 and finding the remainder.

Odd days = 380 mod 7

Since 380 divided by 7 gives a quotient of 54 with a remainder of 2, there are 2 odd days.

We add these 2 odd days to the starting day, which is Friday: Friday + 1 day = Saturday Friday + 2 days = Sunday

Explanation

The logic behind the given pairs lies in the constant alphabetical shifts applied to each letter in the first cluster to obtain the second cluster:

For the first pair, AMY : TQA: First letter: A - 7 = T (since 1 - 7 = -6, which corresponds to 20 in a circular alphabet) Second letter: M + 4 = Q (13 + 4 = 17) Third letter: Y + 2 = A (25 + 2 = 27, which corresponds to 1 in a circular alphabet)

Thus, the shift pattern is -7, +4, +2.

Applying this same shift pattern (-7, +4, +2) to CUP: First letter: C - 7 = V (3 - 7 = -4, which corresponds to 22) Second letter: U + 4 = Y (21 + 4 = 25) Third letter: P + 2 = R (16 + 2 = 18)

This yields the letter-cluster VYR, making CUP : VYR the correct pair.

Explanation

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

The first sequence is formed by the terms at the odd positions (1st, 3rd, 5th, and 7th terms): 333, 328, 323, ? In this sequence, each subsequent term is obtained by subtracting 5 from the preceding term: 333 - 5 = 328 328 - 5 = 323 323 - 5 = 318

The second sequence is formed by the terms at the even positions (2nd, 4th, and 6th terms): 321, 328, 335 In this sequence, each subsequent term is obtained by adding 7 to the preceding term: 321 + 7 = 328 328 + 7 = 335

Following this alternating pattern, the next term in the series, which is the 7th term, belongs to the first sequence: 323 - 5 = 318

Explanation

The positional values of the letters in GJP are G = 7, J = 10, and P = 16. The differences between consecutive letters in this cluster are +3 (7 + 3 = 10) and +6 (10 + 6 = 16). In contrast, the standard pattern followed by the other three groups is a difference of +2 followed by +6 between consecutive letters. Therefore, GJP is the odd one out.

Explanation

By comparing the given coded sentences, we can determine the code for 'rocket' through elimination.

First, comparing 'rocket airplane sky stars' (coded as 'ci pi di ki') with 'satellite moon sun sky' (coded as 'ni ci ui li'), the common word is 'sky' and the common code is 'ci'. Thus, 'sky' is coded as 'ci'.

Second, comparing 'rocket airplane sky stars' (coded as 'ci pi di ki') with 'sky sun stars mars' (coded as 'ui gi ki ci'), the common words are 'sky' and 'stars', and the common codes are 'ci' and 'ki'. Since 'sky' is 'ci', 'stars' must be 'ki'.

Third, comparing 'rocket airplane sky stars' (coded as 'ci pi di ki') with 'venus airplane moon planet' (coded as 'di qi mi ni'), the common word is 'airplane' and the common code is 'di'. Thus, 'airplane' is coded as 'di'.

Finally, in the first sentence 'rocket airplane sky stars' (coded as 'ci pi di ki'), the codes for 'airplane', 'sky', and 'stars' are 'di', 'ci', and 'ki' respectively. Eliminating these leaves 'rocket' coded as 'pi'.

Explanation

The given pairs of letter-clusters follow the pattern of reversing the order of the letters. For the first pair, HMQ reversed becomes QMH. For the second pair, PWY reversed becomes YWP. Following this same pattern, the letter-cluster LJH reversed becomes HJL.

Explanation

In the expression D % P + K @ R S F, we can decode the relationships step by step. First, D % P means D is the mother of P. Second, P + K means P is the sister of K. Third, K @ R means K is the brother of R. Combining these, P, K, and R are siblings, and D is their mother. Finally, R S F means R is the daughter of F. Since R is the daughter of F and D is the mother of R, F must be the father of R. This establishes that D is the wife of F.

Explanation

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

First letter: The letters follow a consecutive alphabetical order, increasing by 1 at each step: L → M → N → O → P

Number: The numbers decrease by 3 at each step: 48 → 45 → 42 → 39 → 36

Second letter: The letter U fits the second letter position to complete the sequence of second letters (T, U, W, W, X).

Combining these components, the missing term is MU 45.

Explanation

To find the value of the expression, substitute the operators as follows to solve the equation: C represents + B represents × D represents - A represents ÷

Substituting these operators into the given expression: 31 + 48 × 7 - 69 ÷ 23

Applying the BODMAS rule:

First, perform the division: 69 ÷ 23 = 3

The expression becomes: 31 + 48 × 7 - 3

Next, perform the multiplication: 48 × 7 = 336

The expression becomes: 31 + 336 - 3

Now, perform the addition: 31 + 336 = 367

Finally, perform the subtraction: 367 - 3 = 364

Explanation

By interchanging the multiplication (×) and division (÷) operators, the given equation: 101 + 38 - 78 × 3 ÷ 9 = ?

becomes: 101 + 38 - 78 ÷ 3 × 9 = ?

Applying the BODMAS rule (Division first, then Multiplication, followed by Addition and Subtraction):

First, perform the division: 78 ÷ 3 = 26

Next, perform the multiplication: 26 × 9 = 234

Now, perform the addition and subtraction: 101 + 38 - 234 = 139 - 234 = -95

Explanation

From the statements, some editors are journalists and all journalists are writers. Since the group of journalists is completely contained within the group of writers, the editors who are journalists are also writers. This validates conclusion I, which states that some writers are editors.

For conclusion II, we know that all journalists are writers and no writer is a reporter. Since the set of journalists is a subset of the set of writers, and the set of writers has no intersection with the set of reporters, it is impossible for any journalist to be a reporter. This validates conclusion II, which states that no reporter is a journalist.

Explanation

If tomorrow is Tuesday, then today is Monday.

To find the day of the week 100 days from today, we divide 100 by 7 to determine the number of complete weeks and the remaining odd days.

100 ÷ 7 = 14 weeks with a remainder of 2 days

Since the remainder is 2, the day 100 days from today will be 2 days after Monday, which is Wednesday.