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

Explanation

To determine the day of the week for Rohan's birthday, calculate the total number of days between April 14 and September 20 in the same year. The number of days remaining in April is 30 - 14 = 16. Summing the days for the full months and the target date: May has 31 days, June has 30 days, July has 31 days, August has 31 days, and the target date in September is the 20th. The calculation for the total days is 16 + 31 + 30 + 31 + 31 + 20 = 159.

The number of odd days is found by dividing the total days by 7 and identifying the remainder: 159 ÷ 7 = 22 weeks and 5 days. Starting from Friday (Devansh's birthday), count 5 days forward: Saturday (1), Sunday (2), Monday (3), Tuesday (4), and Wednesday (5).

Explanation

The maximum possible total weight is the sum of all four boxes, which is 20 + 40 + 80 + 90 = 230 kilograms. To find the next highest possible weight, we must exclude the box with the smallest weight, which is 20 kilograms. This gives a total of 230 - 20 = 210 kilograms. Since there is no box weighing 10 kilograms, it is impossible to subtract exactly 10 kilograms from the total sum of 230 kilograms to reach a weight of 220 kilograms using any combination of the given boxes.

Explanation

The word CARES cannot be formed using the letters of the word PREACHER because it contains the letter S. The source word PREACHER consists of the letters P, R, E, A, C, H, E, and R, which does not include the letter S.

Explanation

The coding logic follows a pattern where each letter in the word is replaced by the letter immediately preceding it in the English alphabet, which can be represented as Position - 1. For the word MIGRANT: M (13) - 1 = L (12) I (9) - 1 = H (8) G (7) - 1 = F (6) R (18) - 1 = Q (17) A (1) - 1 = Z (26) N (14) - 1 = M (13) T (20) - 1 = S (19)

Applying this same subtraction logic to the word GEL: G (7) - 1 = F (6) E (5) - 1 = D (4) L (12) - 1 = K (11)

The resulting code is FDK.

Explanation

By replacing the operators with their respective decoded operations, where × denotes division, ÷ denotes subtraction, + denotes multiplication, and - denotes addition, the original expression is transformed into 27 ÷ 3 - 30 × 5 + 125. Following the order of operations (BODMAS), division is carried out first: 27 ÷ 3 = 9. The expression then becomes 9 - 30 × 5 + 125. Next, the multiplication is solved: 30 × 5 = 150, resulting in 9 - 150 + 125. Finally, by combining the addition and subtraction, we calculate 134 - 150, which yields the final value of -16.

Explanation

The logic used in the given equations is the arithmetic mean of the two numbers. The operation A B follows the formula (A + B)/(2).

For the first expression 11 25: (11 + 25)/(2) = ³⁶⁄₂ = 18

For the second expression 12 20: (12 + 20)/(2) = ³²⁄₂ = 16

Applying this same rule to the target expression 4 50: (4 + 50)/(2) = ⁵⁴⁄₂ = 27

Explanation

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

For P: P moves 18 km North to reach (0, 18). Then, P turns right (East) and cycles 3 km to reach position P = (3, 18).

For Q: Q moves 9 km East to reach (9, 0). Then, Q turns North and cycles 10 km to reach (9, 10). Finally, Q turns left (West) and cycles 6 km. The new x-coordinate is 9 - 6 = 3, so Q reaches position Q = (3, 10).

To find the position of Q with respect to P, we calculate the difference in their coordinates: Q - P = (3 - 3, 10 - 18) = (0, -8)

Since the x-coordinates are identical, Q is directly on the same vertical line as P. The y-coordinate difference of -8 indicates that Q is 8 km in the negative North direction, which is South. Therefore, Q is 8 km South of P.

Explanation

Argument I is strong because it highlights a direct positive correlation between providing entertainment and the growth of the local economy. In the context of tourism management, offering events like rock shows until midnight increases the attractiveness of a destination, encouraging higher tourist turnout and longer stays. This influx of visitors results in greater spending on local services such as accommodation, dining, and transportation, which provides significant economic benefits to the community. Since economic development is a vital consideration for any tourist location, an argument focusing on financial stability and growth through increased tourism is logically sound and practically relevant.

Explanation

The relationship in the given analogy is between a mathematical result and the operation used to produce it. In arithmetic, a Product is the outcome or result of the operation of Multiplication. Following this logic, a Sum is the outcome or result of the operation of Addition. Thus, Addition is the operation that corresponds to the result known as a Sum.

Explanation

The relationship between the first pair of letter clusters is established by subtracting 2 from the positional value of each letter in the English alphabet. For the transformation FHK to DFI, the numerical logic is: F (6) - 2 = D (4), H (8) - 2 = F (6), and K (11) - 2 = I (9).

Applying this same constant subtraction of 2 to the cluster OQT: O (15) - 2 = M (13) Q (17) - 2 = O (15) T (20) - 2 = R (18)

The resulting letters based on these positional values are MOR.

Explanation

The relationship between the first pair of numbers is established by a constant difference of 100. Subtracting the first term from the second term gives: 10101 - 10001 = 100

Applying the same arithmetic logic to the second pair, adding 100 to the third term yields the missing number: 101 + 100 = 201

Explanation

Shirt is the odd word because it is an upper-body garment. The other items provided in the list are all worn on the lower half of the body. This difference in anatomical placement makes the shirt the outlier in this classification of clothing.

Explanation

In this letter series, each group follows a specific numerical pattern based on the alphabetical positions of the letters. For the group ZBD, the positions are Z = 26, B = 2, and D = 4. The difference between consecutive letters is 26 + 2 → B and 2 + 2 = 4 → D, showing a constant increment of +2. All other alternatives in the set follow a pattern of a constant increment of +3 between consecutive letters. Since ZBD is the only group with an increment of +2, it is the odd one out.

Explanation

The number 15 is the only odd number among the given alternatives. In contrast, the numbers 10, 20, and 30 are all even numbers and are also exact multiples of 10.

Explanation

The given series follows a logical pattern based on the count of letters in each word. The first word win contains 3 letters. The second word note contains 4 letters. The third word grain contains 5 letters, and the fourth word broker contains 6 letters. This sequence establishes a clear progression where each successive word increases in length by exactly one letter. Therefore, the next word in the series must consist of 7 letters. The word banking satisfies this pattern as it is composed of exactly 7 letters.

Explanation

The series follows a pattern based on the alphabetical position of the middle letter of each term. Each term in the series has an odd number of letters, and the middle letter's position in the alphabet increases by 6 with each step:

Term 1: KIMNo (5 letters) — the middle letter (3rd) is M, which is the 13th letter of the alphabet. Term 2: qRsTu (5 letters) — the middle letter (3rd) is s, which is the 19th letter (13 + 6 = 19). Term 3: WxYzA (5 letters) — the middle letter (3rd) is Y, which is the 25th letter (19 + 6 = 25). Term 4: cDeFg (5 letters) — the middle letter (3rd) is e, which is the 5th letter (25 + 6 = 31; 31 - 26 = 5).

Following this progression, the middle letter of the next term must be the 11th letter of the alphabet (5 + 6 = 11), which is K.

Evaluating the options: refund (6 letters): No single middle letter. pony (4 letters): No single middle letter. banking (7 letters): The middle letter (4th) is k, which is the 11th letter. mutually (8 letters): No single middle letter.

Additionally, "banking" is the only option with an odd number of letters (7), allowing it to have a single middle letter consistent with the rest of the series.

Explanation

The series follows the pattern n² - 1, where n starts from 1. Calculating each term based on its position in the sequence gives: 1² - 1 = 0 2² - 1 = 3 3² - 1 = 8 4² - 1 = 15 5² - 1 = 24 6² - 1 = 35

Alternatively, the series is formed by adding consecutive odd numbers starting from 3 to each preceding term. The differences between the terms are: 3 - 0 = 3 8 - 3 = 5 15 - 8 = 7 24 - 15 = 9 35 - 24 = 11 Following the sequence of odd differences 3, 5, 7, 9, 11, the missing value is obtained by adding 7 to the third term (8 + 7 = 15).

Explanation

To determine the day of the week for Shray's birthday, calculate the total number of days from April 12 to October 2 in the same year. Since the period starts after February, whether the year is a leap year or not does not affect the calculation.

The number of days in each month between the two dates are: 18 days remaining in April (30 - 12), 31 days in May, 30 days in June, 31 days in July, 31 days in August, 30 days in September, and 2 days in October. Summing these values gives the total number of days: 18 + 31 + 30 + 31 + 31 + 30 + 2 = 173 days.

To find the number of odd days, divide the total days by 7 and find the remainder: 173 ÷ 7 = 24 weeks with a remainder of 5 days. These 5 days are the odd days. Counting 5 days forward from Wednesday results in Monday: one day forward is Thursday, two days is Friday, three days is Saturday, four days is Sunday, and five days is Monday.

Explanation

To determine which total weight cannot be formed, we calculate all possible sums using the given weights of 20, 90, 40, and 60 kilograms, using each box at most once. The sum of all four boxes is 20 + 90 + 40 + 60 = 210 kg. The sum of the combination 20, 90, and 60 kg is 170 kg. The sum of the combination 90, 40, and 60 kg is 190 kg. To obtain a total of 200 kg, one would need to exclude exactly 10 kg from the total sum of all boxes (210 - 10 = 200), but no 10 kg box is available. Systematically checking other subsets, the combination of the three largest boxes (90, 40, 60) yields only 190 kg, and adding the smallest remaining box (20) exceeds the target by reaching 210 kg. Since no subset of the available weights {20, 90, 40, 60} adds up to exactly 200, that total weight is impossible to achieve.

Explanation

The word TEARS cannot be formed because it contains the letter A, which is not present in the given word SMOTHERS. The letters available in SMOTHERS are S, M, O, T, H, E, R, and S. Since the letter A is missing from this set, the word TEARS cannot be constructed.

Explanation

The coding pattern follows a simple addition of 2 to the position of each letter in the English alphabet. For the word FRISKED, the transformation is as follows: F + 2 = H, R + 2 = T, I + 2 = K, S + 2 = U, K + 2 = M, E + 2 = G, and D + 2 = F, yielding the code HTKUMGF.

Applying the same logic to the word SUN: S + 2 = U U + 2 = W N + 2 = P

By shifting each letter forward by two places, SUN is coded as UWP.

Explanation

First, decode the expression 80 + 2 ÷ 25 + 5 - 10 by substituting the symbols with their corresponding mathematical operations. According to the code, + represents multiplication, ÷ represents subtraction, and - represents addition.

The expression transforms as follows: 80 × 2 - 25 × 5 + 10

Using the BODMAS rule, proceed with multiplication operations first: 80 × 2 = 160 25 × 5 = 125

Now, substitute these products back into the expression: 160 - 125 + 10

Solve the remaining subtraction and addition from left to right: 160 - 125 = 35 35 + 10 = 45

Explanation

The logical pattern applied in these equations is the difference between the sum of the digits of the first number and the sum of the digits of the second number. In the first example, 45 % 11 = 7, the sum of the digits of 45 is 4 + 5 = 9 and the sum of the digits of 11 is 1 + 1 = 2. The result is 9 - 2 = 7.

In the second example, 59 % 34 = 7, the sum of the digits of 59 is 5 + 9 = 14 and the sum of the digits of 34 is 3 + 4 = 7. The result is 14 - 7 = 7. Applying this same logic to the final expression 55 % 4, the sum of the digits of 55 is 5 + 5 = 10 and the sum of the digits of 4 is 4. The calculation becomes 10 - 4 = 6.

Explanation

The pattern in this table is based on the sum of the numbers in each column forming an arithmetic progression.

First, calculate the sum of the numbers in the first and second columns: Sum of Column 1: 102 + 87 + 15 = 204 Sum of Column 2: 89 + 45 + 44 = 178

Next, find the difference between these two sums: 204 - 178 = 26

Following this pattern, the sum of the third column should decrease by the same constant value of 26: Sum of Column 3: 178 - 26 = 152

Let the missing number be x. We can now solve for x using the numbers in the third column: x + 25 + 50 = 152 x + 75 = 152 x = 152 - 75 x = 77

Explanation

Let the starting point be the origin (0, 0) on a coordinate plane where the x-axis represents East and the y-axis represents North. Car C travels 9 km South to (0, -9), then turns left to face East and travels 11 km, reaching the final position (11, -9). Car D travels 3 km East to (3, 0), then turns South for 5 km to reach (3, -5), and finally turns left to face East and travels 8 km, ending at (3 + 8, -5) = (11, -5). To find the position of D relative to C, we calculate the difference in their coordinates. Both cars are at the same longitudinal position of 11 km East. The latitudinal difference is -5 - (-9) = 4 km. Because D is at a higher y-coordinate than C, D is 4 km North of C.

Explanation

Argument I is strong because public safety and security are paramount concerns for any administration. The presence of street lights acts as a deterrent to criminal activities and significantly reduces the risk of road accidents by improving visibility for the few commuters present, making the statistical correlation between darkness and increased hazards a compelling reason to keep lights on. Argument II is also strong as it addresses the pragmatic need for resource conservation and economic efficiency. Since the volume of traffic and pedestrian movement drops drastically after midnight, running all street lights at full capacity leads to a substantial waste of expensive electricity and taxpayers money, providing a logical basis for seeking energy-saving alternatives or switching them off. Both arguments provide valid, substantive reasons from different but equally important perspectives of social welfare and fiscal responsibility.

Explanation

The relationship in this analogy is based on an action and the physical medium in which that action occurs. Just as water is the environment or medium through which a person or creature moves while swimming, air is the medium through which an object or creature moves while flying. Therefore, air is the appropriate counterpart to water in the context of the motion described.

Explanation

The relationship between the letter groups GIK and PRT is determined by a constant forward shift of 9 positions in the alphabetical order. By assigning numerical values to the letters where A=1, B=2, and so on, G is 7, I is 9, and K is 11. Adding 9 to each of these values gives 7 + 9 = 16, 9 + 9 = 18, and 11 + 9 = 20. These numbers correspond to the letters P, R, and T. Applying the same logic to DFH, the numerical positions are D=4, F=6, and H=8. Adding 9 to each position results in 4 + 9 = 13, 6 + 9 = 15, and 8 + 9 = 17. The letters located at the 13th, 15th, and 17th positions in the alphabet are M, O, and Q respectively.

Explanation

The relationship between the first pair of numbers is established by dividing the first term by 5. Using the formula x : ˣ⁄₅, we find that ⁵⁵⁄₅ = 11. Applying the same logic to the second part of the analogy, we divide 125 by 5 to obtain ¹²⁵⁄₅ = 25.

Explanation

Cricket ball is the odd one out because it refers specifically to a piece of sporting equipment, whereas the other terms serve as the primary names of the sports themselves. While Football, Basketball, and Volleyball are sports named after the inflatable, air-filled balls used to play them, the sport associated with a cricket ball is simply called Cricket. Furthermore, a cricket ball is a solid, hard object constructed with a cork core and leather casing, unlike the other three which are large, hollow, and pressurized with air.

Explanation

The letter group VUT consists of three letters arranged in consecutive reverse alphabetical order. By assigning numerical values to the letters based on their alphabetical positions, we find V = 22, U = 21, and T = 20. The common difference between these consecutive letters is exactly 1 (22 - 21 = 1 and 21 - 20 = 1). This pattern differs from the other groups, which follow a consistent sequence of decreasing by 2 positions.

Explanation

The given numbers follow a specific pattern based on divisibility by 11. According to the divisibility rule for 11, the difference between the sum of digits at odd positions and the sum of digits at even positions must be 0 or a multiple of 11. In the case of 140, the sum of the digits at odd positions is 1 + 0 = 1 and the digit at the even position is 4. The difference is 1 - 4 = -3, which is not divisible by 11. The other numbers in the set are all multiples of 11, as 11 × 10 = 110, 11 × 14 = 154, and 11 × 18 = 198. Since 140 is the only number that does not satisfy this divisibility criteria, it is the odd one out.

Explanation

The series follows a pattern where each successive word increases in length by exactly one letter. The word cry has three letters, dome has four letters, super has five letters, and random has six letters. To continue this arithmetic progression of letter counts (3, 4, 5, 6, ...), the next word in the sequence must contain seven letters. The word formula consists of seven letters, thereby satisfying the established pattern of the series.

Explanation

The series follows a pattern where each subsequent term decreases in length by one character. Simultaneously, the position of the character O alternates between the first and last position of the string. In the first term OXXXXX (length 6), O is at the start. In the second term XXXXO (length 5), O is at the end. In the third term OXXX (length 4), O is at the start. In the fourth term XXO (length 3), O is at the end. In the fifth term OX (length 2), O is at the start. Following this sequence, the sixth term must have a length of 1, and the O must move to the end position. A string of length 1 with O at the end results in the character O.

Explanation

The given sequence follows an arithmetic progression where each term increases by a constant common difference d. To find d, we can compare the first two terms by converting them to a common format. Expressing 1.5 as 6/4, the sequence begins 6/4, 9/4, 12/4.

The difference between consecutive terms is: d = 9/4 - 6/4 = 3/4 d = 12/4 - 9/4 = 3/4

To find the missing term, we add the common difference to the third term: 12/4 + 3/4 = 15/4

We can verify this by continuing the pattern to the next term in the series: 15/4 + 3/4 = 18/4 = 4.5 18/4 + 3/4 = 21/4

Converting the sequence to decimals (1.5, 2.25, 3.0, 3.75, 4.5, 5.25) confirms the constant increment of 0.75 (which is 3/4). The missing value 3.75 is equivalent to the fraction 15/4.

Explanation

To find the day of the week for Shaan's birthday, we calculate the number of days from Divyansh's birthday on July 16 to Shaan's birthday on August 1. July has 31 days, so there are 31 - 16 = 15 days remaining in July. Adding the 1 day in August, the total number of days is 15 + 1 = 16. The number of odd days is determined by the remainder when the total days are divided by 7, which is 16 ÷ 7 = 2 weeks with a remainder of 2 days. Adding these 2 odd days to the reference day of Sunday results in Tuesday.

Explanation

The maximum possible total weight is the sum of all four given boxes: 30 + 20 + 50 + 90 = 190 kg. Since each box can be used only once in any combination, the total weight of any selection cannot exceed this maximum value. Therefore, a total weight of 200 kg is impossible to achieve with the given set of weights.

Explanation

The word DICES cannot be formed from the letters of the word SCALDING because the letter E is not present in the original word. The available letters in SCALDING are S, C, A, L, D, I, N, and G. As DICES requires the letter E to be completed, it is impossible to construct it using only the provided set of characters.

Explanation

The coding logic follows a forward shift of two positions in the English alphabetical sequence for each letter in the word. In the word OUTLINE, the transformations are O+2 = Q, U+2 = W, T+2 = V, L+2 = N, I+2 = K, N+2 = P, and E+2 = G, resulting in the code QWVNKPG.

Applying the same +2 shift logic to the word MAN: M + 2 = O A + 2 = C N + 2 = P

Therefore, MAN is coded as OCP.

Explanation

According to the given code language, the operators are substituted as follows: + becomes ×, ÷ becomes -, × becomes ÷, and - becomes +.

Applying these substitutions to the given expression 50 + 3 ÷ 125 × 5 - 25, we get: 50 × 3 - 125 ÷ 5 + 25

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

First, perform the division: 125 ÷ 5 = 25 The expression becomes: 50 × 3 - 25 + 25

Next, perform the multiplication: 50 × 3 = 150 The expression becomes: 150 - 25 + 25

Finally, perform the addition and subtraction: 150 - 25 + 25 = 150

Explanation

The operation # follows the pattern of doubling the sum of the two numbers. This can be defined by the formula a # b = 2(a + b).

Applying this logic to the given equations: For 26 # 14: 2(26 + 14) = 2 × 40 = 80 For 5 # 3: 2(5 + 3) = 2 × 8 = 16 For 6 # 5: 2(6 + 5) = 2 × 11 = 22

Using the same pattern for the required value: 14 # 5 = 2(14 + 5) = 2 × 19 = 38

Explanation

Let the starting point be the origin (0, 0) on a coordinate plane, where North represents the positive y-axis and East represents the positive x-axis. Person A cycles 8 km South to the point (0, -8). From there, turning right while facing South means moving towards the West. A cycles 5 km West, reaching the final position A(-5, -8).

Person B cycles 3 km North to the point (0, 3). B then turns West and cycles 5 km to the point (-5, 3). Finally, turning left while facing West means moving towards the South. B cycles 4 km South, reaching the final position B(-5, 3 - 4), which is (-5, -1).

To find the position of B with respect to A, we compare their coordinates. Both are at x = -5. The vertical distance is the difference in their y-coordinates: -1 - (-8) = 7 km. Since B is at a higher y-coordinate than A, B is situated 7 km North of A.

Explanation

In logical reasoning, a strong argument must be both significant and directly related to the statement. Argument I is weak because the potential economic impact or hurt caused to a foreign nation is not a primary or valid logical justification for a country's internal trade or safety policy. National decisions are based on the welfare and interests of the domestic population rather than the concerns of a foreign producer. Argument II is weak because it provides a trivial and insignificant reason for a ban. The incidental killing of insects does not address the major concerns associated with firecrackers, such as air pollution, noise disturbance, or fire hazards, and thus lacks the substance required to be a strong argument. Since both arguments are irrelevant or superficial, neither is considered strong.

Explanation

The relationship in this analogy is based on the primary celestial object visible in the sky during a specific time of day. Stars are the luminous bodies that appear in the sky during the night. Similarly, the Sun is the luminous celestial body that appears in the sky and provides light during the day.

Explanation

The relationship between the first two sets of letters is based on a constant positional shift in the English alphabet. By converting the letters to their numerical positions where A=1, B=2, …, Z=26, we observe that each letter in the first group BEH is increased by 9 to obtain the corresponding letter in KNQ. Specifically, B(2) + 9 = 11(K), E(5) + 9 = 14(N), and H(8) + 9 = 17(Q).

Applying this same logic to the second pair FIL, we add 9 to the positional value of each letter: F(6) + 9 = 15, which corresponds to O. I(9) + 9 = 18, which corresponds to R. L(12) + 9 = 21, which corresponds to U. The resulting letters are ORU.

Explanation

The numerical relationship between the first two terms is established by dividing the first term by -2. Specifically, 6 ÷ (-2) = -3. Applying this same mathematical logic to the third term to find the related number, we divide -18 by -2. The calculation -18 ÷ (-2) results in 9.

Explanation

Cyan, Indigo, and Sky blue are all categorized as shades or variations of the color blue within the visible spectrum. Crimson, however, is a deep, vivid shade of red. This makes it the odd word out because it belongs to a fundamentally different primary color group than the others.

Explanation

The letter group UIO is the odd one out because it consists entirely of vowels. Furthermore, it deviates from the consistent numerical pattern where each subsequent letter is exactly 6 positions ahead of the preceding one in the English alphabet. While the other sets follow the rule of +6 for each step, the positions of U (21), I (9), and O (15) do not maintain this uniform arithmetic progression.

Explanation

The numbers 8, 27, and 125 are all perfect cubes of integers, represented as 2³, 3³, and 5³ respectively. In contrast, 100 is a perfect square, as 10² = 100, but it is not a perfect cube of any integer. This mathematical property distinguishes 100 from the other values provided in the set.

Explanation

The series follows a pattern where the first two letters of each word are determined by the letters in the latter part of the preceding word (specifically the last two letters in most cases, or the 4th and 5th letters):

employ ends with the letters oy (at positions 5 and 6), and oyster starts with oy. oyster ends with the letters er (at positions 5 and 6), and errors starts with er. errors contains the letters or at positions 4 and 5, and ornate starts with or. ornate ends with the letters te (at positions 5 and 6), and tennis starts with te. tennis ends with the letters is (at positions 5 and 6), which means the next word in the series must start with the letters is.

Among the given options, isomer is the only word that begins with the letters is.