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

Explanation

The sequence follows a pattern where the last two letters of each word form the first two letters of the subsequent word in the series. The word Good ends with the letters od, which are the starting letters of Odour. Similarly, Odour ends with ur, which begins the word Urban. Urban ends with an, which begins the word Anthem. Following this logic, since Anthem ends with the letters em, the next word in the series must start with the letters em. Among the given options, Empathy is the only word that begins with those two letters.

Explanation

The series follows a constant pattern where each letter of a term is shifted forward by 4 positions in the English alphabet to obtain the corresponding letter of the next term.

For the first letter of each term: D (4) → H (8) → L (12) → P (16). The next first letter is 16 + 4 = 20, which is T.

For the second letter of each term: F (6) → J (10) → N (14) → R (18). The next second letter is 18 + 4 = 22, which is V.

For the third letter of each term: E (5) → I (9) → M (13) → Q (17). The next third letter is 17 + 4 = 21, which is U.

By combining these results, the next term in the series is TVU.

Explanation

Convert the fractional terms into decimal form to identify the underlying pattern of the series. The first term 1/4 is equal to 0.25. The second term is 0.65. The fourth term 29/20 is equal to 1.45, and the fifth term is 1.85.

By calculating the difference between the known consecutive terms, we find: 0.65 - 0.25 = 0.40 1.85 - 1.45 = 0.40

The series follows an arithmetic progression with a constant common difference of 0.40. To find the missing third term, add the common difference to the second term: 0.65 + 0.40 = 1.05

Expressing the decimal value 1.05 as a fraction yields: 1.05 = 105/100 = 21/20

Explanation

To find the day of the week for Rani's birthday, calculate the total number of days elapsed from April 11 to August 31.

Days remaining in April: 30 - 11 = 19 Days in May: 31 Days in June: 30 Days in July: 31 Days in August: 31

Total days = 19 + 31 + 30 + 31 + 31 = 142 days.

Now, determine the number of odd days by dividing the total days by 7: 142 ÷ 7 = 20 weeks and a remainder of 2 days.

Since there are 2 odd days, count 2 days forward from Tuesday. Tuesday + 1 day is Wednesday, and Tuesday + 2 days is Thursday.

Explanation

To determine if 160 kg can be formed using the weights 20, 40, 60, and 90 kg where each box is used only once, we examine all possible subset sums. If the 90 kg box is included in the combination, the remaining weight required to reach 160 kg is 160 - 90 = 70 kg. The available weights of 20, 40, and 60 kg cannot sum to 70 because their possible combinations yield 20, 40, 60, 80, 100, or 120 kg. Specifically, the sums of pairs are 20+40=60, 20+60=80, and 40+60=100, none of which result in 70 kg. If the 90 kg box is not included, the maximum possible weight that can be formed using the remaining three boxes is 20 + 40 + 60 = 120 kg, which is less than 160 kg. Since no subset of the given weights sums exactly to 160 kg, this total cannot be achieved.

Explanation

The word NAMES cannot be formed from the word DYNAMITE because it contains the letter S. The original word DYNAMITE consists of the letters D, Y, N, A, M, I, T, and E, none of which is the letter S.

Explanation

The coding logic follows a pattern where each letter of the word is replaced by the letter that appears three positions before it in the English alphabetical sequence. For the word EXPLAIN, the transformation is calculated as follows: E (5) - 3 = B (2), X (24) - 3 = U (21), P (16) - 3 = M (13), L (12) - 3 = I (9), A (1) - 3 = X (24), I (9) - 3 = F (6), and N (14) - 3 = K (11).

Applying this same subtraction rule to the word GYM, the conversion is: G (7) - 3 = D (4), Y (25) - 3 = V (22), and M (13) - 3 = J (10). Following this backward shift of three positions for each character, the resulting code is DVJ.

Explanation

According to the mathematical coding logic, the operators in the expression are substituted as follows: × represents ÷, - represents +, and ÷ represents -. Substituting these into the given expression:

825 ÷ 25 + 27 - 10

Applying the BODMAS rule, perform the division first:

33 + 27 - 10

Next, perform the addition:

60 - 10

Finally, performing the subtraction results in:

50

Explanation

The numerical logic in the given series replaces the multiplication sign with the division operation. By applying this pattern to the provided examples, 9 ÷ 3 = 3, 15 ÷ 3 = 5, and 60 ÷ 5 = 12. Following this established rule for the final expression, the calculation is 27 ÷ 3 = 9.

Explanation

The pattern in the table follows the relation aᵇ = c, where a is the number in the first column, b is the number in the second column, and c is the resulting number in the third column.

In the first row, the calculation is 5³ = 5 × 5 × 5 = 125. In the second row, the calculation is 10⁴ = 10 × 10 × 10 × 10 = 10000. Applying this logic to the third row, the missing value is 2⁵ = 2 × 2 × 2 × 2 × 2 = 32.

Explanation

The movement of the woman can be tracked using a Cartesian coordinate system starting at (0, 0). Walking 3 km North moves her to (0, 3). Turning West and walking 4 km changes her position to (-4, 3). She then turns South and walks 7 km, which brings her to (-4, 3 - 7) = (-4, -4). Finally, while facing South, a turn to her left is a turn towards the East. Walking 4 km East moves her to (-4 + 4, -4) = (0, -4). Comparing her final position (0, -4) to her starting position (0, 0), she is exactly 4 km to the South.

Explanation

Based on the first statement, the set of apples and the set of red items have a non-empty intersection, meaning there is at least one element that is both an apple and red. The second statement establishes that the set of red items is a subset of the set of oranges (R ⊆ O). Since there are elements that are both apples and red, and every red item is also an orange, those specific elements must necessarily be both apples and oranges. This logically confirms that the intersection between the set of apples and the set of oranges is not empty (A ∩ O ≠ ∅), which means some apples are oranges.

Explanation

The relationship between the first pair of words is based on antonyms, where Alive is the direct opposite of Dead. To maintain the same logical analogy for the second pair, the word that functions as the opposite or the direct counterpart to a Question must be selected. An Answer serves as the resolution or response to a question, establishing the same antonymous relationship as seen in the first pair.

Explanation

The logic followed in this series is based on opposite letters in the English alphabet, where the sum of the numerical positions of a letter from the beginning and its corresponding letter from the end is always 27.

For the first pair CAE and XZV: C is the 3ʳᵈ letter from the start, and X is the 3ʳᵈ letter from the end (3 + 24 = 27). A is the 1ˢᵗ letter from the start, and Z is the 1ˢᵗ letter from the end (1 + 26 = 27). E is the 5ᵗʰ letter from the start, and V is the 5ᵗʰ letter from the end (5 + 22 = 27).

Applying the same rule to JHL: J is the 10ᵗʰ letter from the start; its opposite is the 17ᵗʰ letter, which is Q (10 + 17 = 27). H is the 8ᵗʰ letter from the start; its opposite is the 19ᵗʰ letter, which is S (8 + 19 = 27). L is the 12ᵗʰ letter from the start; its opposite is the 15ᵗʰ letter, which is O (12 + 15 = 27).

The resulting sequence is QSO.

Explanation

The numerical relationship follows the pattern x : x + 1. First, convert the decimal 2.25 into an improper fraction: 2.25 = ²²⁵⁄₁₀₀ = ⁹⁄₄. Adding 1 to this value results in the second term of the first pair: ⁹⁄₄ + 1 = ¹³⁄₄.

Applying the same logic to the second pair, convert the decimal 3.75 into an improper fraction: 3.75 = ³⁷⁵⁄₁₀₀ = ¹⁵⁄₄. Adding 1 to this value gives the required number: ¹⁵⁄₄ + 1 = (15 + 4)/(4) = ¹⁹⁄₄.

Explanation

The items Tyre, Bangle, and Compact disk share a common geometric characteristic as they are all circular in shape. A book is typically rectangular or cuboidal, making it the odd one out in this group based on physical form.

Explanation

The letters in the group QRS follow a forward alphabetical sequence where each letter is the immediate successor of the one preceding it, represented by the positional values 17, 18, and 19. All other groups follow a reverse alphabetical order where each letter is the immediate predecessor of the one before it, such as 14-13-12, 5-4-3, and 23-22-21. Thus, QRS is the only sequence arranged in ascending order.

Explanation

The number 55 is not divisible by 9. According to the divisibility rule for 9, the sum of the digits of a number must be a multiple of 9. For the number 55, the sum of the digits is 5 + 5 = 10, which is not divisible by 9, whereas the other numbers in the set are all multiples of 9.

Explanation

The pattern in this series is determined by the numerical position of the letter m within each word. In the first word master, m is at the 1st position. In ember, m is the 2nd letter. In bombay, m appears as the 3rd letter. In animal, m is the 4th letter. In abdomen, m is the 5th letter. To complete the sequence, the missing word must have the letter m at the 6th position. In the word deform, the letters are d, e, f, o, r, and m, placing m at the 6th character position.

Explanation

The series follows a specific pattern based on alphabetical positions and alternating capitalization. Each term consists of five consecutive letters of the alphabet. The first letter of each successive term advances by 3 positions in the English alphabet: A (1st), D (4th), G (7th), and J (10th). Following this arithmetic progression (n + 3), the next term must start with the 13th letter, which is M.

The sequence of five consecutive letters starting from M is M, N, O, P, and Q. Each term in the series also follows a consistent capitalization pattern of Upper, lower, Upper, lower, Upper. Applying this formatting to the letters M, N, O, P, and Q results in the term MnOpQ.

Explanation

The given sequence follows the pattern of an arithmetic progression where each successive term is generated by adding a constant common difference to the preceding term.

To determine the common difference, subtract the first term from the second term: 5.2 - 4.0 = 1.2

Subtracting the second term from the third term confirms this constant: 6.4 - 5.2 = 1.2

The missing value is the fourth term in the series. By adding the common difference of 1.2 to the third term, we find: 6.4 + 1.2 = 7.6

This result is validated by adding the common difference once more to reach the fifth term: 7.6 + 1.2 = 8.8

Explanation

The number of days between June 5th and September 22nd in the same year is calculated by summing the days in each month. June has 30 days, so there are 30 - 5 = 25 days remaining. July has 31 days, August has 31 days, and for September, we take 22 days.

Total days = 25 (June) + 31 (July) + 31 (August) + 22 (September) = 109 days.

To determine the day of the week, calculate the number of odd days by finding the remainder when the total number of days is divided by 7: 109 ÷ 7 = 15 weeks with a remainder of 4 days.

Since Bobby's birthday is on a Monday, adding 4 odd days to Monday gives the day for Pinky's birthday: Monday + 4 days = Friday.

Explanation

To determine which total weight cannot be formed, we calculate all possible combinations of the box weights 10, 40, 50, and 80 kg, using each box at most once. The possible sums are:

Single boxes: 10, 40, 50, 80 kg. Two-box combinations: 10 + 40 = 50, 10 + 50 = 60, 10 + 80 = 90, 40 + 50 = 90, 40 + 80 = 120, and 50 + 80 = 130 kg. Three-box combinations: 10 + 40 + 50 = 100, 10 + 40 + 80 = 130, 10 + 50 + 80 = 140, and 40 + 50 + 80 = 170 kg. Four-box combination: 10 + 40 + 50 + 80 = 180 kg.

Evaluating the options, 120 kg is formed by 40 + 80, 100 kg is formed by 10 + 40 + 50, and 90 kg is formed by 10 + 80 or 40 + 50. The weight of 110 kg cannot be produced by any mathematical combination of these four specific values.

Explanation

The word BRUTAL requires the letter U. By analyzing the letters in the given word ELABORATE (E, L, A, B, O, R, A, T, E), it is evident that the letter U is missing. Therefore, BRUTAL cannot be formed using the available letters.

Explanation

The coding pattern follows a simple alphabetical shift where each letter of the original word is moved three positions forward in the English alphabet. For the word MARBLES, the transformation is M+3=P, A+3=D, R+3=U, B+3=E, L+3=O, E+3=H, and S+3=V, resulting in PDUEOHV.

Applying the same +3 logic to the word GIN: G + 3 = J I + 3 = L N + 3 = Q

This results in the code JLQ.

Explanation

Based on the mathematical logic required to reach the given answer, the operators in the expression are substituted as follows: × represents ÷, - represents +, and ÷ represents -.

Substituting these into the given expression: 54 × 9 - 3 ÷ 4 = 54 ÷ 9 + 3 - 4

Following the BODMAS rule, perform the division first: 54 ÷ 9 = 6

Now, perform the addition and subtraction: 6 + 3 - 4 = 9 - 4 = 5

The final value of the expression is 5.

Explanation

The symbol % in the given equations represents the mathematical operation of addition. This pattern is consistent across the provided examples: 14 + 32 = 46 and 52 + 20 = 72. Applying this same logic to the final expression, the sum of the two numbers is 35 + 14 = 49.

Explanation

The logic followed in this matrix is that the product of the second and third row elements in each column equals the element in the first row. For the first column, the calculation is 12 × 3 = 36. For the second column, it is 9 × 5 = 45. Applying this same rule to the third column, the missing value x must satisfy the equation x × 7 = 105. Dividing 105 by 7 gives x = 15.

Explanation

Let the starting point be at coordinates (0, 0) on a Cartesian plane where the y-axis represents North-South and the x-axis represents East-West.

Anu starts at (0, 0). Moving 35 m South brings him to (0, -35). Turning West and walking 15 m moves him to (-15, -35). Finally, turning right from West means turning North; walking 45 m North changes his y-coordinate to -35 + 45 = 10. Thus, Anu final position is (-15, 10).

Bittu starts at (0, 0). Moving 25 m North brings him to (0, 25). Turning left from North means turning West; walking 15 m West moves him to (-15, 25). Thus, Bittu final position is (-15, 25).

Both individuals are located 15 m West of the starting longitudinal line. The vertical distance between them is the difference in their North-South coordinates: 25 - 10 = 15 m. Since Bittu y-coordinate is greater than Anu, Bittu is located 15 m to the North of Anu.

Explanation

Argument I is strong because it invokes the principle of individual liberty and the fundamental right to choose one's lifestyle and conduct business, which is a significant legal and philosophical consideration in a democratic society. It represents the viewpoint that the state should not overreach into personal choices unless absolutely necessary.

Argument II is strong because it presents a compelling case for public safety. By identifying a direct and massive correlation between alcohol consumption and road accidents, it justifies the ban as a necessary measure to protect the lives of citizens. In policy-making, the protection of life and the reduction of fatal accidents are considered paramount objectives that can override individual conveniences. Since both arguments address valid, core concerns—one regarding constitutional rights and the other regarding the preservation of life through safety regulations—they are both logically sound and substantial.

Explanation

The relationship in the first pair is based on a fastener and the specific tool used to drive it into a material. A screwdriver is the manual or power tool designed specifically to turn and secure a screw. Similarly, in the second pair, a hammer is the primary hand tool used to drive a nail into a surface by providing repeated impact force.

Explanation

The relationship between the first pair ACE and YAC is established by shifting each letter backward by two positions in the English alphabetical series. Using the numerical positions of letters where A=1, B=2, ..., Z=26, the transformation follows the rule n - 2. For ACE, the letter A (1) moves back two steps to Y (25), C (3) moves back two steps to A (1), and E (5) moves back two steps to C (3).

Applying this same logic to BDF: The letter B (2) shifted back two positions (2 - 2) results in 0, which corresponds to Z (26) in a cyclic alphabet. The letter D (4) shifted back two positions (4 - 2) results in B (2). The letter F (6) shifted back two positions (6 - 2) results in D (4).

Following this n - 2 pattern for each character, the resulting sequence is ZBD.

Explanation

The relationship between the numbers in the first pair follows the cube logic, where the second number is the cube of the first. Given the ratio 10 : 1000, we can see that 10³ = 10 × 10 × 10 = 1000. Applying the same mathematical operation to the second ratio, 2 : ?, we calculate the cube of the first number. Thus, 2³ = 2 × 2 × 2 = 8.

Explanation

In the game of cricket, a batsman, a bowler, and a wicket-keeper are all active players who represent a specific team and participate in the competitive play on the field. An umpire, however, is a neutral official responsible for enforcing the laws of the game, making critical decisions regarding dismissals, and ensuring fair play. The umpire does not belong to either competing team and does not participate as a player, making this role distinct from the others.

Explanation

The letters in ORU correspond to the 15th, 18th, and 21st positions in the English alphabet. The sequence follows a pattern of adding 3 to the position of each preceding letter (15 + 3 = 18 and 18 + 3 = 21). This +3 increment differs from the +2 increment pattern used in the other letter groups.

Explanation

The number 71 is a prime number, meaning it is a natural number greater than 1 that has no positive divisors other than 1 and itself. To confirm its primality, we check for divisibility by prime factors less than √(71), which is approximately 8.42. Since 71 is not divisible by 2, 3, 5, or 7, it is confirmed as a prime number. This lack of divisibility by 7 makes 71 the odd number in the group, as it does not share the common factor of 7 that defines the other values provided. While the rest are composite numbers and multiples of 7, 71 is the only prime value.

Explanation

The series follows a logical pattern based on the positional shift of the letter n within each word. In the first word nature, n is at the 1st position. In the second word ensure, n moves to the 2nd position. In the third word tense, n occupies the 3rd position. In the fourth word spent, n is at the 4th position, and in the fifth word spurn, n is at the 5th position. Following this progression, the missing word must contain the letter n at the 6th position. The word upturn satisfies this requirement as n is its 6th letter.

Explanation

The series follows a pattern of decreasing numerical positions in the English alphabet. Assigning numerical values to the letters based on their positions (A=1, B=2, ..., Z=26), the sequence is: R = 18, M = 13, I = 9, F = 6, and D = 4.

The differences between consecutive terms are as follows: 18 - 5 = 13 (M) 13 - 4 = 9 (I) 9 - 3 = 6 (F) 6 - 2 = 4 (D)

The sequence of subtrahends is 5, 4, 3, 2, which is decreasing by 1 at each step. Following this logic, the next subtrahend must be 1. Subtracting 1 from the numerical position of D results in 4 - 1 = 3. The 3rd letter of the English alphabet is C.

Explanation

The given sequence follows an arithmetic progression where each term increases by a constant common difference d. By calculating the difference between consecutive terms, we find: d = -0.35 - (-0.5) = 0.15 -0.2 - (-0.35) = 0.15 -0.05 - (-0.2) = 0.15

To find the missing term, add the common difference 0.15 to the fourth term: -0.05 + 0.15 = 0.1

This is further verified by adding 0.15 to the result to get the next term in the series: 0.1 + 0.15 = 0.25

Explanation

To find the day of the week for Neerav's birthday, calculate the total number of days between 22nd May and 30th October in the same year.

The number of days remaining in May is 31 - 22 = 9 days. June has 30 days. July has 31 days. August has 31 days. September has 30 days. The number of days in October until the birthday is 30 days.

Total number of days = 9 + 30 + 31 + 31 + 30 + 30 = 161 days.

To find the number of odd days, divide the total days by 7: 161 / 7 = 23 weeks and 0 odd days.

Since there are 0 odd days, the day of the week for 30th October will be the same as 22nd May. Therefore, Neerav's birthday falls on a Monday.

Explanation

The total sum of all four boxes is 90 + 30 + 20 + 50 = 190 kg. To determine if a total weight of 150 kg can be formed, the boxes excluded from the combination must sum to exactly 190 - 150 = 40 kg. The weights available for use are 20 kg, 30 kg, 50 kg, and 90 kg. No single box weighs 40 kg, and the smallest possible sum of any two boxes is 20 + 30 = 50 kg, which already exceeds 40 kg. Since no individual box or subset of boxes sums to 40 kg, it is mathematically impossible to achieve a total weight of 150 kg.

Explanation

The word URINE contains the letter U, which is not present in the given word INFERNAL. The letters available in INFERNAL are I, N, F, E, R, N, A, and L. Since the letter U is missing from the source word, URINE cannot be formed.

Explanation

The coding pattern utilizes the concept of reverse or opposite letters, where the position of a letter from the beginning is matched with the letter at the same position from the end. Mathematically, the sum of the positions of the original letter and its corresponding code in the English alphabet is always 27. In the word FLOTSAM, the letter F (6th) becomes U (21st) because 6 + 21 = 27. Similarly, L (12th) becomes O (15th), O (15th) becomes L (12th), T (20th) becomes G (7th), S (19th) becomes H (8th), A (1st) becomes Z (26th), and M (13th) becomes N (14th).

Applying this logic to the word PIN: The letter P is 16th in the alphabet, so its code is 27 - 16 = 11, which is K. The letter I is 9th in the alphabet, so its code is 27 - 9 = 18, which is R. The letter N is 14th in the alphabet, so its code is 27 - 14 = 13, which is M.

Explanation

To solve the expression 234 × 9 - 12 + 4, we first substitute the symbols according to the logic that yields the provided answer: × represents ÷, - represents +, and + represents ×. Replacing the symbols in the given expression gives:

234 ÷ 9 + 12 × 4

Following the BODMAS/VBODMAS rule, we perform division and multiplication before addition:

First, perform the division: 234 ÷ 9 = 26

Second, perform the multiplication: 12 × 4 = 48

Finally, perform the addition: 26 + 48 = 74

Explanation

The operation A follows a logic where the result is the sum of all individual digits of the numbers A and B.

In the first example, 2335 = 13. Summing the digits: 2 + 3 + 3 + 5 = 13. In the second example, 35 = 8. Summing the digits: 3 + 5 = 8.

Following this pattern for the required calculation: 413 = 4 + 1 + 3 = 8.

Alternatively, the pattern can be defined as the sum of the digits of the arithmetic sum of the two numbers. For 23 + 35 = 58, the sum of digits is 5 + 8 = 13. For 3 + 5 = 8, the sum of digits remains 8. For 4 + 13 = 17, the sum of digits is 1 + 7 = 8. Both interpretations lead to the same result.

Explanation

The pattern followed in the given table is that the third number in each column is the product of the first two numbers in that column. In the second column, 17 × 23 = 391. In the third column, 28 × 27 = 756. Applying this same mathematical logic to the first column, the missing value is found by calculating the product of the first two entries: 16 × 21 = 336.

Explanation

The final position of the bird can be determined by calculating the net displacement in the North-South and East-West directions. Let North and East directions be represented by positive values, and South and West by negative values.

The vertical displacement (North-South) is calculated as: D_N_S = 40 km (North) + 110 km (North) = 150 km North

The horizontal displacement (East-West) is calculated as: The bird flies 50 km East, then turns left while heading North, which means it moves 50 km West. D_E_W = 50 km (East) - 50 km (West) = 0 km

Since the net horizontal displacement is zero and the net vertical displacement is 150 km in the North direction, the bird is 150 km North of its starting position.

Explanation

The given statements can be analyzed using set theory where C represents clouds, F represents fog, and W represents white. Statement 1 (C ⊆ F) indicates all clouds are contained within the set of fog. Statement 2 (F ⊆ W) indicates all fog is contained within the set of white. Combining these gives the transitive relation C ⊆ F ⊆ W, meaning all clouds are white.

In syllogistic logic, the universal affirmative statement all A are B implies the particular affirmative converse some B are A. Since all clouds are fog, it follows that some fog are clouds, validating conclusion II. Similarly, since the combined statements establish that all clouds are white, it follows that some white are clouds, validating conclusion I. Both conclusions are logically derived from the premises.

Explanation

The relationship is based on the directed flow of water within a larger body. A stream is the flow of water that moves within a river system. Similarly, a current represents the continuous, directed movement of seawater within an ocean. Both terms describe the internal circulation and movement patterns characteristic of the respective water bodies.

Explanation

The relationship between the letter groups is based on the concept of reverse alphabet pairs, where the sum of the numerical positions of two corresponding letters is always 27. In the first set, W is the 23rd letter and its counterpart D is the 4th letter (23 + 4 = 27). Similarly, U is the 21st letter and its counterpart F is the 6th letter (21 + 6 = 27), and S is the 19th letter and its counterpart H is the 8th letter (19 + 8 = 27).

Applying this logic to the group MKI, we find the numerical positions are M = 13, K = 11, and I = 9. To find the corresponding letters, we subtract each position from 27. For M, 27 - 13 = 14, which is the letter N. For K, 27 - 11 = 16, which is the letter P. For I, 27 - 9 = 18, which is the letter R. Combining these results yields the sequence NPR.