SSC CGL Tier 1 2017 General Intelligence & Reasoning Questions with Solutions

Explanation

The given relationship follows the pattern of a physical quantity and its corresponding SI unit. Power is defined as the rate of doing work or transferring heat, and it is measured in Watts (W). Similarly, Work is the product of force and displacement, representing the energy transferred to or from an object, and its standard SI unit is the Joule (J). Just as Watt is the unit of Power, Joule is the unit of Work.

Explanation

The relationship between the first two terms is established by shifting each letter forward by one position in the alphabetical sequence: N + 1 = O P + 1 = Q B + 1 = C G + 1 = H

Applying the same +1 logic to the letters of the third term, AJOT: A + 1 = B J + 1 = K O + 1 = P T + 1 = U

The resulting set of letters is B, K, P, and U. Among the given alternatives, the option BUPK is the only one consisting of these specific letters.

Explanation

The relationship followed in the given analogy is that the second number is the square of the first number. In the first pair, 101² = 10201. Applying the same logic to the second pair, we need to find the square of 107.

Using the algebraic identity (a + b)² = a² + 2ab + b² where a = 100 and b = 7: 107² = (100 + 7)² = 100² + 2(100)(7) + 7² 107² = 10000 + 1400 + 49 = 11449

Alternatively, a mental math shortcut for squaring numbers near 100 involves adding the excess over 100 to the number itself and then appending the square of that excess. For 107, the excess is 7. Adding the excess gives 107 + 7 = 114, and the square of the excess is 7² = 49. Combining these results gives 11449.

Explanation

Snake is a reptile belonging to the class Reptilia. It is an ectothermic vertebrate characterized by an elongated, legless body and scaly skin. This biological classification and physical anatomy make it the odd word in the given set.

Explanation

The positional values of the letters in TVW are T = 20, V = 22, and W = 23. The sequence follows a pattern where the second letter is obtained by adding 2 to the first (20 + 2 = 22), but the third letter is obtained by adding only 1 to the second (22 + 1 = 23). This variation in the increment logic makes it the odd one out, as the other alternatives consistently follow a uniform +2 gap between all consecutive letters in their respective triplets.

Explanation

The number 69 is a composite number, whereas the other numbers are prime. A composite number is a positive integer that has at least one divisor other than 1 and itself. The number 69 is divisible by 3 and 23, which is verified by the fact that the sum of its digits (6 + 9 = 15) is a multiple of 3 (69 = 3 × 23).

Explanation

To determine the dictionary sequence, compare the letters of each word from left to right. All given words begin with the prefix Ro. Examining the third letter, Road (4) and Roasted (3) both contain a, which comes before the third letters of the other words. Comparing their fourth letters, d in Road comes before s in Roasted, making Road the first word and Roasted the second. Next, the third letter l in Roller (5) precedes p and s, positioning Roller third. Comparing the remaining words, the third letter p in Ropped (1) comes before s in Roster (2), which places Ropped fourth and Roster fifth.

Explanation

The sequence follows a pattern where each subsequent term is generated by shifting every letter of the preceding term by one position forward in the English alphabetical order.

For the first letter, the progression is B → C → D, meaning the next letter must be E. For the second letter, the progression is C → D → E, resulting in the next letter being F. For the third letter, the progression is F → G → H, leading to the next letter being I. Applying this +1 incremental logic to each letter of the last given term DEH yields the missing term EFI.

Explanation

The series follows a pattern where each subsequent term is calculated by multiplying the preceding term by 2 and then adding a sequence of increasing natural numbers starting from 1. The mathematical relation for the n-th term Tₙ can be expressed as Tₙ = (Tₙ₋₁ × 2) + (n-1).

Applying this rule to the given numbers: The first term is 2. The second term is (2 × 2) + 1 = 5. The third term is (5 × 2) + 2 = 12. The fourth term is (12 × 2) + 3 = 27.

To find the missing number, we multiply the fourth term by 2 and add 4: (27 × 2) + 4 = 54 + 4 = 58.

Alternatively, the differences between consecutive terms are 3, 7, and 15. These differences follow the pattern (Previous Difference × 2) + 1. The next difference in this sub-series is (15 × 2) + 1 = 31. Adding this difference to the last known term gives 27 + 31 = 58.

Explanation

The expression J 3 L 9 N 3 O 5 K can be broken down step-by-step to determine the relationship between J and K. The segment J 3 L indicates that J is the daughter of L. The segment L 9 N means that L is the sister of N. The segment N 3 O establishes that N is the daughter of O. Finally, O 5 K shows that O is the father of K.

By combining these relations, since N is the daughter of O and L is the sister of N, both L and N are daughters of O. Since O is also the father of K, it follows that L, N, and K are siblings. Because J is the daughter of L, and L is the sister of K, J is the niece of K.

Explanation

Let Rakhi's age at the time of her engagement be x. Since she got engaged 10 years ago, her present age is x + 10. The problem states that her present age is 5/3 of her age at engagement, which gives the equation x + 10 = ⁵⁄₃x.

Multiplying the entire equation by 3 to clear the fraction results in 3x + 30 = 5x. Rearranging the terms, we get 2x = 30, which means x = 15. Therefore, Rakhi was 15 years old when she got engaged, and her present age is 15 + 10 = 25 years.

The present age of Rakhi's mother is twice her present age, so the mother is 2 × 25 = 50 years old now. To find the mother's age at the time of Rakhi's engagement 10 years ago, we subtract 10 from her current age: 50 - 10 = 40 years.

Explanation

The word Fullness requires two L letters to be formed. However, the base word Suspensefulness contains only one letter L. Therefore, it is impossible to construct the word Fullness because the necessary quantity of the letter L is not available.

Explanation

The coding logic is based on the sum of the alphabetical positions of the letters, followed by finding the digital sum (adding the digits of the result) if the total is a multi-digit number.

For BAD: B = 2, A = 1, D = 4 Sum = 2 + 1 + 4 = 7

For SAP: S = 19, A = 1, P = 16 Sum = 19 + 1 + 16 = 36 Digital sum = 3 + 6 = 9

Applying the same logic to BAN: B = 2, A = 1, N = 14 Sum = 2 + 1 + 14 = 17 Digital sum = 1 + 7 = 8

Explanation

By interchanging the multiplication (×) and division (÷) signs, the given equation 9 × 3 + 8 ÷ 4 - 7 = 28 is modified to 9 ÷ 3 + 8 × 4 - 7 = 28. Following the BODMAS rule, the division operation is performed first, resulting in 9 ÷ 3 = 3. Next, the multiplication operation is carried out, yielding 8 × 4 = 32. The equation then simplifies to 3 + 32 - 7. Combining the terms through addition and subtraction gives 35 - 7, which equals 28. This result matches the right-hand side of the equation, confirming the validity of the interchange.

Explanation

The numerical logic followed in the expressions is (a * b % c) = (a × b)ᶜ. By applying this formula to the given examples, the pattern is verified:

For the first expression: (4 × 5)³ = 20³ = 8000

For the second expression: (2 × 3)² = 6² = 36

Following the same logic for the final expression 4 * 3 % 3: (4 × 3)³ = 12³ 12 × 12 × 12 = 1728

Explanation

The relationship between the numbers in the table can be determined by observing the patterns within and between the rows. Specifically, the fifth number in the second row is derived from the second, fourth, and fifth numbers of the first row.

In the first group: The value 5 in the second row (second row, fifth column) is calculated using the second and fourth numbers of the first row (4 and 2) and subtracting the fifth number of the first row (31): (4 + 2)² - 31 = 6² - 31 = 36 - 31 = 5

Following this logic for the second group to find the missing number (?): The value at the question mark (second row, third column) is calculated using the second and fourth numbers of the same row (1 and 7) and subtracting the fifth number of that row (5): (1 + 7)² - 5 = 8² - 5 = 64 - 5 = 59

Thus, the number that should be placed at the sign of the question mark is 59.

Explanation

From the first statement, some pens are pencils, which indicates an intersection between the set of pens and the set of pencils. The second statement establishes that all pencils are erasers, meaning the set of pencils is a subset of the set of erasers. Since some pens are part of the pencil set, and every pencil is contained within the eraser set, those specific pens are also part of the eraser set. This confirms that some pens are erasers, making conclusion I logically valid. Furthermore, according to the logical rule of conversion for universal affirmative statements, if all pencils are erasers, it is necessarily true that some erasers are pencils. This validates conclusion III. Thus, both conclusions I and III are supported by the statements.

Explanation

The given sequence is a combination of three interleaved sub-series. By grouping every third term together, the logic becomes clear.

Sub-series 1 (consisting of the 1st, 4th, 7th, 10th, and 13th terms) follows the pattern of increasing differences: 3, 4, 6, 9, 13. The differences are 4-3=1, 6-4=2, 9-6=3, and 13-9=4.

Sub-series 2 (consisting of the 2nd, 5th, 8th, 11th, and 14th terms) follows the pattern of consecutive squares: 4, 9, 16, 25, 36. These are 2², 3², 4², 5², and 6².

Sub-series 3 (consisting of the 3rd, 6th, 9th, 12th, and 15th terms) is an arithmetic progression with a common difference of 5: 5, 10, 15, 20, ?. The pattern is 5 × 1 = 5, 5 × 2 = 10, 5 × 3 = 15, and 5 × 4 = 20.

The missing number is the 15th term of the main series, which is the 5th term of the third sub-series. Following the common difference of 5, the next term is 20 + 5 = 25.

Explanation

Let the present ages of Anil and Aakash be 4x and 5x respectively. Three years later, their ages will be 4x + 3 and 5x + 3. According to the problem, the ratio of these future ages is 7:8. We can set up the following equation:

(4x + 3)/(5x + 3) = ⅞

By cross-multiplying, we solve for x:

8(4x + 3) = 7(5x + 3) 32x + 24 = 35x + 21 35x - 32x = 24 - 21 3x = 3 x = 1

The present age of Anil is represented by 4x. Substituting x = 1 into this expression:

Anil present age = 4 × 1 = 4 years.

Alternatively, using the ratio unit method, we observe that the increase in the ratio parts for both individuals is the same: 7 - 4 = 3 units for Anil and 8 - 5 = 3 units for Aakash. Since this increase of 3 units occurs over a period of 3 years, 1 unit corresponds to exactly 1 year. Therefore, Anil's present age of 4 units is equal to 4 years.

Explanation

Karan remembers that the birthday is not after 18th August, which implies the date is the 18th or any day prior. Karan's mother remembers the birthday is after 17th August but before 20th August, which restricts the possible dates to the 18th or the 19th. The only specific date that satisfies both conditions is 18th August.

Explanation

The word Spectrum requires the letter M to be formed. Upon examining the letters available in the word Superconductors (S, u, p, e, r, c, o, n, d, u, c, t, o, r, s), it is evident that the letter M is absent. Therefore, Spectrum cannot be constructed from the given word.

Explanation

The coding logic follows the difference between the sums of the numerical positions of the letters in the two words, where each letter is assigned a value based on its position in the English alphabet (A=1, B=2, …, Z=26). For the word PEN, the sum is 16 + 5 + 14 = 35. For the word TAN, the sum is 20 + 1 + 14 = 35. The resulting code is the difference: 35 - 35 = 0.

Applying this same logic to DEN-COB, the sum for the word DEN is 4 + 5 + 14 = 23. The sum for the word COB is 3 + 15 + 2 = 20. Calculating the difference between these two sums gives 23 - 20 = 3.

Explanation

Based on the operator substitution logic required to satisfy the equation, the symbols are mapped as follows: × denotes ÷, ÷ denotes ×, + denotes -, and - denotes +.

Applying these substitutions to the equation in option (d): 18 × 6 ÷ 8 - 12 = 36

Replacing the operators: 18 ÷ 6 × 8 + 12

Following the BODMAS rule, perform the division first: 3 × 8 + 12

Next, perform the multiplication: 24 + 12

Finally, performing the addition: 36

The calculation yields 36, which matches the right-hand side of the equation.

Explanation

The operations are defined by the symbols where # represents the concatenation of two numbers and @ represents the operation of subtraction. In these expressions, concatenation carries higher mathematical precedence than subtraction.

In the first example, 5 # 9 @ 7 is calculated as (5 # 9) - 7, which gives 59 - 7 = 52. In the second example, 3 @ 9 # 2 is calculated as 3 - (9 # 2), which results in 3 - 92 = -89. Following this established pattern for the target expression, 7 # 6 @ 9 is calculated as (7 # 6) - 9. Substituting the values, we get 76 - 9 = 67.

Explanation

The logic followed in this pattern is that the sum of all four numbers within each grid remains constant. For the first grid, the sum is calculated as 3 + 17 + 11 + 4 = 35. Similarly, for the second grid, the sum of the numbers is 2 + 16 + 10 + 7 = 35.

To find the missing number in the third grid, the sum of its elements must also equal 35. Let the missing number be x. The equation is 6 + 13 + 15 + x = 35. Summing the known values, we get 34 + x = 35. Subtracting 34 from both sides results in x = 1.

Explanation

The relationships established by the statements can be expressed through set theory where S represents stars, W represents white, M represents moon, and B represents blue. The first two statements S ⊆ W and W ⊆ M imply that S ⊆ M, meaning all stars are moons. Conclusion I, Some moon are stars, follows from this because if all stars are moons, then at least some moons must be stars. Conclusion III, Some white are stars, also follows as a valid conversion of the statement All stars are white.

Regarding the third statement, M ∩ B = ∅, which means there is no overlap between moons and blue. Since S ⊆ M and W ⊆ M, both stars and white objects are subsets of moon. Therefore, neither stars nor white objects can have any intersection with blue. This validates conclusion II, No blue is stars, as the entire set of stars is excluded from the set of blue. Conclusion IV, Some blue are white, is logically impossible under these conditions because the set of white is entirely contained within the moon, which is disjoint from blue.

Explanation

The analogy follows the relationship of an individual unit to its organized collective group. A player is a single member who performs within the structure of a team. Following the same logic, a minister is an individual member of the Council, which is the formal body of high-ranking officials. The term council denotes the organized assembly or board to which a minister belongs for the purpose of collective deliberation and governance.

Explanation

The relationship is established by reversing the letters of the word and shifting each letter forward by two positions in the alphabetical order. In the word TRACK, the reversal results in K-C-A-R-T. Applying a +2 shift to these letters gives: K + 2 = M, C + 2 = E, A + 2 = C, R + 2 = T, and T + 2 = V, which forms MECTV. Applying the same logic to the word POND, the letters are reversed to D-N-O-P. Shifting each forward by two positions results in: D + 2 = F, N + 2 = P, O + 2 = Q, and P + 2 = R. Thus, the resulting string is FPQR.

Explanation

The pattern followed in this analogy is that the second number is obtained by adding the sum of the individual digits of the first number to the first number itself.

For the first pair 850 : 863: Sum of digits of 850 = 8 + 5 + 0 = 13 The related number is 850 + 13 = 863

Applying the same logic to 430: Sum of digits of 430 = 4 + 3 + 0 = 7 The related number is 430 + 7 = 437

Explanation

Cotton is categorized as a fiber crop primarily used in the textile industry for the production of yarn and fabric. Unlike the other alternatives, which are all edible food crops, cotton is a non-food commercial crop. Mustard and sesame are primarily grown as oilseeds for human consumption, while peas are a pulse or vegetable. The distinction lies in the economic use and nature of the crop, where cotton serves an industrial purpose as a raw material for clothing, whereas the others are integral parts of a human diet.

Explanation

In the combination HSU, the first two letters H (8) and S (19) are alphabetical opposites because the sum of their positional values is 8 + 19 = 27. The third letter U (21) is 2 positions ahead of the second letter S (19 + 2 = 21). This specific sequence deviates from the consistent pattern found in the other alternatives, where the first two letters are opposites but the third letter is 3 positions ahead of the second letter (+3).

Explanation

The pair 17 - 343 is the odd one out because the second number is the cube of the product of the digits of the first number. The product of the digits of 17 is 1 × 7 = 7, and 7³ = 343. This deviates from the logic of the set where the second number is the square of the product of the digits of the first number. For this pair to follow that rule, the second number would have to be 7² = 49.

Explanation

Dictionary arrangement follows alphabetical order letter by letter. Comparing the words Yakking, Yakuzas, Yangtze, Yobbery, and Yobbish, the second letters are either a or o. Since a precedes o, the words Yakking, Yakuzas, and Yangtze appear first. Comparing their third letters, Yakking and Yakuzas have k while Yangtze has n, placing Yangtze after the other two. Comparing the fourth letters of Yakking and Yakuzas, k comes before u, establishing the order as Yakking (2), Yakuzas (3), and then Yangtze (1). For the words beginning with Yo, both Yobbery and Yobbish share the first four letters Yobb. Looking at the fifth letters, e in Yobbery precedes i in Yobbish, placing Yobbery (4) before Yobbish (5). Sequential comparison of these letters results in the order 2, 3, 1, 4, 5.

Explanation

The numerical part of each term in the series is determined by the sum of the positional values of the preceding letters in the English alphabet, where A = 1, B = 2, C = 3, and so on up to Z = 26.

For the first term AK12, the positions are A = 1 and K = 11. Their sum is 1 + 11 = 12. For the second term GV29, the positions are G = 7 and V = 22. Their sum is 7 + 22 = 29. For the third term LF18, the positions are L = 12 and F = 6. Their sum is 12 + 6 = 18. For the final term PO?, the positions are P = 16 and O = 15. The sum of these values is 16 + 15 = 31.

Explanation

The relationship in the analogy is between a physical quantity and the instrument used to measure it. A barometer is a scientific instrument specifically designed to measure atmospheric pressure. Similarly, an odometer is an instrument used in vehicles to measure and indicate the total distance traveled.

Explanation

The relationship is established by reversing the letters of the first term and then shifting each letter forward by 13 positions in the alphabetical sequence. For the pair AEDM : ZQRN, reversing AEDM gives MDEA. Applying the shift based on alphabetical positions (A=1, B=2, …, Z=26): M(13) + 13 = 26 (Z), D(4) + 13 = 17 (Q), E(5) + 13 = 18 (R), and A(1) + 13 = 14 (N). This forms the term ZQRN.

Applying the same logic to FLMO, the letters are first reversed to obtain OMLF. Then, each letter is shifted forward by 13 positions: O(15) + 13 = 28, which cycles back to 2 (B); M(13) + 13 = 26 (Z); L(12) + 13 = 25 (Y); and F(6) + 13 = 19 (S). The resulting sequence of letters is BZYS.

Explanation

The relationship between the numbers is based on the sum of their digits and a multiple relationship.

First, observe the sum of the digits for the first pair: 243: 2 + 4 + 3 = 9 578: 5 + 7 + 8 = 20 The difference between these sums is 20 - 9 = 11.

Now, apply this to the second pair: 163: 1 + 6 + 3 = 10 Target number (326): 3 + 2 + 6 = 11 The difference between these sums is 11 - 10 = 1.

In this pattern, both differences (11 and 1) are integers composed solely of the digit 1. Furthermore, 326 is a direct multiple of the first number in the second pair: 163 × 2 = 326

While the first pair does not follow a simple x × 2 rule (243 × 2 = 486), the choice of 326 is the most related alternative due to its perfect arithmetic doubling and the consistent digit-sum difference pattern.

Explanation

The given sequence follows a pattern where each term is increased by consecutive odd numbers starting from 5. Calculating the differences between the terms:

26 - 21 = 5 33 - 26 = 7 42 - 33 = 9 53 - 42 = 11

The differences form an arithmetic progression: 5, 7, 9, 11, ... with a common difference of 2. To find the next term in the series, we must add the next odd number in the sequence, which is 13, to the last given term.

53 + 13 = 66

Explanation

In plant anatomy, the root is the part of the plant that typically grows below the soil surface, forming the root system responsible for anchoring the plant and absorbing water and minerals. In contrast, flowers, fruits, and leaves are all parts of the shoot system, which generally grows above the ground and is involved in functions such as photosynthesis and reproduction. This fundamental structural and functional division between the underground and aerial parts of the plant identifies the root as the distinct component.

Explanation

In the letter group PRMP, the alphabetical positions of the letters are P = 16, R = 18, M = 13, and P = 16. The sequence of numerical shifts between these consecutive letters is 16 +2 18, 18 -5 13, and 13 +3 16. This pattern of +2, -5, +3 distinguishes it from the other alternatives, which all follow a uniform shift pattern of +2, -4, +2 to determine the second, third, and fourth letters respectively.

Explanation

The relationship between the numbers in each pair is that the second number is the product of the digits of the first number. For the pair 2678 - 672, the product of the digits is 2 × 6 × 7 × 8 = 672. Similarly, for 4325 - 120, the product is 4 × 3 × 2 × 5 = 120, and for 6931 - 162, the product is 6 × 9 × 3 × 1 = 162. However, for the pair 2132 - 161, the product of the digits is 2 × 1 × 3 × 2 = 12, which does not match the second number 161.

Explanation

To arrange words in dictionary order, we compare them letter by letter from left to right. All five words begin with the prefix Dill. Comparing the fifth letter, Dilled (4) has e, while the others have y. Since e comes before y in the alphabet, Dilled (4) is the first word in the sequence. Among the remaining words, the prefix Dillydalli is common to all. The tenth letters of these words are e in Dillydallied (2) and Dillydallies (5), and y in Dillydallying (1) and Dillydally (3). Since e precedes y, we compare the eleventh letters of 2 and 5: d in Dillydallied (2) comes before s in Dillydallies (5), placing 2 before 5. Finally, comparing 1 and 3, Dillydally (3) is a prefix of Dillydallying (1); in dictionary sorting, the shorter word that forms a prefix of a longer word is placed first. Thus, 3 precedes 1. The resulting dictionary sequence is 4-2-5-3-1.

Explanation

The letter series is composed of four groups of four letters each, where each group is a specific permutation of the letters l, m, n, and o. The sequence follows a logical pattern of shifting and reversing pairs:

Group 1: l m n o (The base sequence 1-2-3-4) Group 2: o n l m (The second pair n o is reversed to o n and moved to the front, followed by the first pair l m) Group 3: m l o n (The second pair l m of the previous group is reversed to m l and moved to the front, followed by the first pair o n) Group 4: n o m l (The second pair o n of the previous group is reversed to n o and moved to the front, followed by the first pair m l)

By placing the letters from the set nolmo into the five gaps of the given series l m _ o _ n _ m _ l _ n n m l, we complete the groups as follows:

First gap (after m): n → l m [n] o (Group 1: l m n o) Second and third gaps (between o and m): o and l → [o] n [l] m (Group 2: o n l m) Fourth and fifth gaps (between m and n): m and o → [m] l [o] n (Group 3: m l o n)

The resulting series is l m [n] o | [o] n [l] m | [m] l [o] n | n n m l. The first three groups perfectly match the established permutation pattern, and the final group n n m l is the closest fit for the fourth group of the sequence.

Explanation

The series follows a pattern where alternating squares and cubes of consecutive natural numbers starting from 2 are added to each preceding term.

The difference between the first two terms is 2² = 4, resulting in 21 + 4 = 25. The difference between the second and third terms is 3³ = 27, giving 25 + 27 = 52. The difference between the third and fourth terms is 4² = 16, giving 52 + 16 = 68. The difference between the fourth and fifth terms is 5³ = 125, resulting in 68 + 125 = 193.

Following this logic, the next increment must be the square of the next natural number, which is 6² = 36. Adding this to the last term gives 193 + 36 = 229.

Explanation

Let the starting position (home) be represented by the coordinates (0, 0). Kamal walks 10 km West, reaching the coordinate (-10, 0). Turning right from a Westward direction faces him North. He then walks 10 km North, moving to the coordinate (-10, 10). Taking another right turn from North faces him East. Walking 10 km East from (-10, 10) brings him to the final position (0, 10).

The distance between the home (0, 0) and the school (0, 10) is calculated as √((0 - 0)² + (10 - 0)²) = 10 km. Since the final position (0, 10) is directly above the starting point (0, 0) on the vertical axis, he is in the North direction from his home.

Explanation

The marks can be compared using inequalities based on the given information. From the statements, we have S > T, T > P, and P > Q. Combining these yields the sequence S > T > P > Q. This ranking shows that Q has fewer marks than S, T, and P. Since the problem explicitly states that R does not have the least marks, Q must be the person with the minimum marks in the class.

Explanation

The word RECIPROCATE contains the letters R, E, C, I, P, R, O, C, A, T, and E. Analyzing the letter composition, the word PROCEED requires the letter D. Since the letter D is not present in the given word RECIPROCATE, the word PROCEED cannot be formed.

Explanation

The coding logic involves replacing each letter with its corresponding rank in the English alphabet, where A = 1, B = 2, C = 3, and so on, up to Z = 26. In the example word CASIO, the letter C is the 3ʳᵈ letter, A is the 1ˢᵗ, S is the 19ᵗʰ, I is the 9ᵗʰ, and O is the 15ᵗʰ. Writing these positions sequentially yields the string 3119915. Applying this same logic to the word CITIZEN, the numerical positions are C = 3, I = 9, T = 20, I = 9, Z = 26, E = 5, and N = 14. Combining these values in the order they appear in the word results in the code 3920926514.

Explanation

Let the present ages of Pankaj and Punit be 5x and 6x respectively. The sum of their ages is given as 33 years.

5x + 6x = 33 11x = 33 x = 3

The difference between their ages is 6x - 5x = x. Substituting the value of x, the difference in their ages is 3 years.

Explanation

By interchanging the signs × and ÷ in the given equation 6 ÷ 17 × 51 + 6 - 12 = -4, the expression becomes:

6 × 17 ÷ 51 + 6 - 12 = -4

Applying the BODMAS rule, we perform division followed by multiplication, addition, and subtraction:

6 × (17 / 51) + 6 - 12

6 × (1 / 3) + 6 - 12

2 + 6 - 12

8 - 12

-4

The left-hand side now equals the right-hand side, confirming that interchanging the multiplication and division signs corrects the equation.