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

Explanation

The letters GEC follow a pattern of decreasing alphabetical rank. In the standard A to Z mapping where A = 1 and Z = 26, the numerical positions of G, E, and C are 7, 5, and 3 respectively. The sequence progresses by subtracting 2 from the numerical position of the previous letter (7 - 2 = 5 and 5 - 2 = 3). This specific backward movement through the alphabet constitutes the logic for this selection.

Explanation

The number 341 is the odd one out because it is not divisible by 9. According to the divisibility rule for 9, a number is divisible by 9 if the sum of its digits is a multiple of 9. The sum of the digits for 341 is 3 + 4 + 1 = 8, which is not divisible by 9, whereas the other numbers in the set are all multiples of 9 as their digit sums are equal to 9.

Explanation

The logic of the series is determined by the position of the letter n within each 6-letter word. The position of n increments by one in each subsequent term of the series. In nephew, n is at the 1st position. In anther, n is at the 2nd position. In tenses, n is at the 3rd position. In prunes, n is at the 4th position. In preens, n is at the 5th position. Following this progression, the missing word must have the letter n at the 6th position. The word return satisfies this pattern as it is a 6-letter word where n is the 6th letter.

Explanation

The series follows a pattern of alternating subtraction and addition with an increasing sequence of integers. By converting the letters to their numerical positions in the alphabet, we get K = 11, J = 10, L = 12, I = 9, and M = 13. The logic applied is 11 - 1 = 10 (J), 10 + 2 = 12 (L), 12 - 3 = 9 (I), and 9 + 4 = 13 (M). Following this progression, the next step is to subtract 5 from the position of the last term: 13 - 5 = 8. The letter corresponding to the 8th position in the alphabet is H.

Explanation

The given sequence follows an arithmetic progression where each term is increased by a constant common difference d. By analyzing the known consecutive terms at the end of the series, the common difference is calculated as 8.5 - 6 = 2.5, 6 - 3.5 = 2.5, and 3.5 - 1 = 2.5.

To find the missing second term, add this common difference to the first term of the series: -4 + 2.5 = -1.5

This result is verified by adding the common difference to the second term to reach the third term: -1.5 + 2.5 = 1

Since this matches the third term in the sequence, the missing value is confirmed to be -1.5.

Explanation

To calculate the day of the week for Madhup's birthday, find the total number of days from March 12 to August 10. The number of days remaining in March is 31 - 12 = 19. The days in the following months are April (30), May (31), June (30), July (31), and August (10).

Total days = 19 + 30 + 31 + 30 + 31 + 10 = 151 days.

The number of odd days is determined by the remainder when the total number of days is divided by 7: 151 ÷ 7 = 21 weeks remainder 4.

Adding the 4 odd days to the reference day, Sunday, gives the resulting day. Counting forward from Sunday: Monday (1), Tuesday (2), Wednesday (3), and Thursday (4). Therefore, Madhup's birthday falls on a Thursday.

Explanation

The available box weights are 20, 30, 50, and 70 kilograms. To determine if a total weight of 160 kilograms is possible, we look at the sum of all boxes, which is 20 + 30 + 50 + 70 = 170 kilograms. For a combination to equal 160 kilograms, the weight of the boxes excluded from the total sum must be exactly 170 - 160 = 10 kilograms. Since the minimum weight of any single box is 20 kilograms, it is impossible to exclude a set of boxes that sums to 10 kilograms. Consequently, 160 kilograms cannot be formed by any combination of these four boxes.

Explanation

Substituting the operators into the given expression results in 27 ÷ 9 × 18 > 24 + 12. Following the order of operations, the left-hand side is calculated by first performing the division, 27 ÷ 9 = 3, and then the multiplication, 3 × 18 = 54. The right-hand side is calculated by performing the addition, 24 + 12 = 36. Since 54 is indeed greater than 36, the expression 54 > 36 is mathematically valid.

Explanation

The word AMUSED cannot be formed using the letters of the word FAMISHED because it contains the letter U. Upon examining the base word FAMISHED, the available letters are F, A, M, I, S, H, E, and D. Since the letter U is not present in this set, the word AMUSED cannot be constructed.

Explanation

The coding follows the pattern of opposite letters in the English alphabet, where the sum of the positional values of the original letter and its corresponding coded letter equals 27. For the word ENCRYPT, the letters are transformed as follows: E (5) to V (22), N (14) to M (13), C (3) to X (24), R (18) to I (9), Y (25) to B (2), P (16) to K (11), and T (20) to G (7). Applying the same 27 - n rule to the word ARC, the letter A (1) is coded as Z (26), the letter R (18) is coded as I (9), and the letter C (3) is coded as X (24), resulting in the code ZIX.

Explanation

The given code language establishes specific substitutions for mathematical operators. Based on the provided mappings and the logic required to reach the solution, the operation × represents division (÷). Applying all the substitutions to the expression 550 × 22 - 24 + 3:

The operator × is replaced by ÷, - is replaced by +, and + is replaced by ×. The modified expression becomes:

550 ÷ 22 + 24 × 3

Following the BODMAS rule, perform the division first: 550 ÷ 22 = 25

Next, perform the multiplication: 24 × 3 = 72

Finally, add the two results: 25 + 72 = 97

Explanation

The pattern followed in the given expressions is based on the formula x@y = 2(x - y). This means the result is obtained by taking the difference of the two numbers and multiplying it by 2.

Applying this rule to the provided examples: 9@7 = 2(9 - 7) = 2(2) = 4 6@1 = 2(6 - 1) = 2(5) = 10 7@4 = 2(7 - 4) = 2(3) = 6

Following the same logic for the required value: 8@2 = 2(8 - 2) = 2(6) = 12

Explanation

The pattern in the given grid follows a column-wise multiplication rule. In each column, the number in the first row is the product of the numbers in the second and third rows. This can be expressed by the formula:

Row 1 = Row 2 × Row 3

By applying this logic to the second column, we find that 15 × 7 = 105. Similarly, in the third column, the calculation is 12 × 8 = 96. To find the missing value in the first column, we multiply the numbers in the second and third rows:

13 × 5 = 65

Explanation

The man's horizontal movement consists of 3 km West followed by 3 km East, which cancels out his horizontal displacement and returns him to the same vertical line as his starting point. His vertical displacement begins with a 7 km walk to the South. After moving East, he turns to his right, which corresponds to the South direction. Walking an additional 5 km in this direction makes his total displacement from the starting position the sum of the two southward segments, calculated as 7 km + 5 km = 12 km South.

Explanation

According to Statement 1, there is an intersection between the set of books and the set of diaries, meaning at least some items are both books and diaries. Statement 2 establishes that the set of books is a subset of the set of paper. Because all books are paper, those specific diaries that are also books must necessarily be paper as well. This creates a guaranteed intersection between the set of paper and the set of diaries, which logically validates the conclusion that some paper are diaries. Conversely, the statements do not provide enough information to claim that every single diary is a book or paper, so only the second conclusion is certain.

Explanation

The relationship between the first pair of words is based on an object and the weather condition it protects against. An umbrella is specifically used to shield a person from rain. Similarly, a sweater is a garment worn to provide warmth and protection for a person against the cold.

Explanation

The sequence IMOR is the odd one because it fails to follow the logic of consistent alphabetical increments and opposite-letter pairings. The alphabetical positions of the letters are I=9, M=13, O=15, and R=18. In this option, the increment between the first two letters I and M is 4 (9 + 4 = 13), whereas the established pattern for these groups requires an increment of 3. Furthermore, the sum of the positions of the inner letters M and O is 28 (13 + 15 = 28), which means they do not form a pair of opposite letters, as opposite letters in the English alphabet must have positional values that sum to exactly 27.

Explanation

The pattern followed in the given alternatives is that the second number is obtained by subtracting one from the square root of the first number, represented by the relation √x - 1 = y. For the pair 2809 – 54, the square root of 2809 is 53. If it followed the consistent pattern, the second number would be 53 - 1 = 52. Instead, in this specific pair, the second number is calculated by adding one to the square root (53 + 1 = 54), which makes it the odd one out.

Explanation

To arrange the words in dictionary order, we compare them letter by letter from left to right. All words begin with C. Comparing the second letters, Cable, Cannal, and Capricon all have a, while Clamp and Cloud have l. Since a precedes l, the first three words must be Cable, Cannal, and Capricon. Among these, we look at the third letter: Cable has b, Cannal has n, and Capricon has p. In alphabetical order, b comes before n, and n comes before p, giving the sequence 3, 4, 5. Next, we compare Clamp and Cloud. The third letter of Clamp is a and the third letter of Cloud is o. Since a precedes o, Clamp (1) comes before Cloud (2). Combining these results, the final dictionary sequence is 3, 4, 5, 1, 2.

Explanation

The series follows a pattern where each subsequent term is obtained by adding the product of two consecutive integers to the preceding term. The general relation for the nᵗʰ term Tₙ is Tₙ₊₁ = Tₙ + n(n+1), starting from n = 1.

T₁ = 28 T₂ = 28 + (1 × 2) = 30 T₃ = 30 + (2 × 3) = 36 T₄ = 36 + (3 × 4) = 48 T₅ = 48 + (4 × 5) = 68

The pattern is verified by the remaining terms in the sequence: T₆ = 68 + (5 × 6) = 68 + 30 = 98 T₇ = 98 + (6 × 7) = 98 + 42 = 140

Explanation

The logical pattern used in the given equations is that the numbers are processed as (1st number)^(2nd number) + (3rd number)^(4th number).

For the first equation: 19 + 2 × 2 + 3 = 369 19² + 2³ = 361 + 8 = 369

For the second equation: 23 + 2 × 6 + 2 = 565 23² + 6² = 529 + 36 = 565

Applying the same logic to the target expression: 7 + 3 × 11 + 3 7³ + 11³ = 343 + 1331 = 1674

Explanation

The given letter series follows a repetitive pattern where a specific five-letter unit is repeated continuously. By placing the letters from the second option into the gaps, the completed series becomes a b c a a a b c a a a b c a a a b c a a.

The sequence is formed by the repeating unit a b c a a. Dividing the twenty-letter series into four equal blocks of five letters each reveals this consistency: (a b c a a) (a b c a a) (a b c a a) (a b c a a).

When the letters b, c, a, c, a, and c are sequentially inserted into the gaps of the original string a _ c a a b _ a _ b c a a b _ a _ b _ a, they align perfectly with this periodic structure. The first gap is filled by b, the second by c, the third by a, the fourth by c, the fifth by a, and the sixth by c, thereby completing the uniform pattern.

Explanation

The relationship established in the first pair is between a substance and its characteristic color. Cotton is a natural fiber that is primarily recognized for its white color. Following the same logic, coal is a sedimentary rock and fossil fuel that is universally recognized for its distinct black color.

Explanation

The relationship between the first two sets of letters is based on a constant subtraction of 4 from the alphabetical position of each letter. In the first pair, the positions of W, V, and T are 23, 22, and 20 respectively. Subtracting 4 from each gives 19, 18, and 16, which correspond to the letters S, R, and P.

Applying the same logic to the third set MLJ, where the alphabetical positions are M = 13, L = 12, and J = 10, we subtract 4 from each value:

13 - 4 = 9 (I) 12 - 4 = 8 (H) 10 - 4 = 6 (F)

The resulting letters are IHF.

Explanation

The relationship between the first pair of numbers is established by dividing the first term by 2 to obtain the second term.

12.5 ÷ 2 = 6.25

Applying the same mathematical operation to the second pair:

7 ÷ 2 = 3.5

Explanation

Almond is classified as a nut or a dry fruit, whereas the other options represent fleshy fruits. While apples, mangoes, and oranges are succulent fruits typically consumed for their pulp and juice, an almond is the edible seed of a drupe and is categorized as a dried fruit or nut in a culinary and nutritional context.

Explanation

The set UTS is the odd one out because it consists of three consecutive letters in reverse alphabetical order. By assigning numerical values to the letters based on their position in the alphabet (U = 21, T = 20, S = 19), the difference between the first and second letters is 21 - 20 = 1, and the difference between the second and third letters is 20 - 19 = 1. This uniform difference of 1 distinguishes UTS from the other alternatives, which follow a pattern where the difference between the first and second letters is 2 and the difference between the second and third letters is 1.

Explanation

The number 65 is the only one in the group that is not divisible by 3. The property of divisibility by 3 is determined by checking if the sum of the digits of a number is a multiple of 3. For the other numbers, 24 has a digit sum of 2 + 4 = 6, 39 has a digit sum of 3 + 9 = 12, and 51 has a digit sum of 5 + 1 = 6. All these sums are multiples of 3, making the numbers themselves multiples of 3. In the case of 65, the sum of the digits is 6 + 5 = 11, which is not divisible by 3.

Explanation

The words in the series follow a specific pattern based on the position of the letter m. In the word Money, m is the first letter. In Amity, m occupies the second position. In Camera, m is the third letter. In Animal, m is the fourth letter. In Telomere, m is the fifth letter. To continue this sequence, the next word must have the letter m in the sixth position. In the word Talisman, the letter m is the sixth character, satisfying the incremental positional pattern of the series.

Explanation

The series follows an alternating pattern between forward alphabetical order and reverse alphabetical order for each group of three letters. Additionally, the first letter of each subsequent term is the letter located four positions after the last letter of the preceding term in the alphabet.

Analyzing the sequence: The first term CDE (3, 4, 5) is in forward order and ends in E. The second term IHG (9, 8, 7) starts at I, which is 5 + 4 = 9, and is in reverse order. The third term KLM (11, 12, 13) starts at K, which is 7 + 4 = 11, and is in forward order. The fourth term QPO (17, 16, 15) starts at Q, which is 13 + 4 = 17, and is in reverse order. The fifth term STU (19, 20, 21) starts at S, which is 15 + 4 = 19, and is in forward order.

Following this logic, the missing term must be in reverse alphabetical order and begin with the letter four positions after U (21ˢᵗ letter). The starting letter is 21 + 4 = 25, which is Y. Writing three consecutive letters in reverse order starting from Y results in YXW.

Explanation

The given sequence is a geometric progression where each term is multiplied by a constant factor of 3. Dividing the second term by the first term gives 18 ÷ 6 = 3, and dividing the third term by the second gives 54 ÷ 18 = 3. Applying this common ratio to the third term, the missing value is 54 × 3 = 162. The pattern is verified by the following terms in the series, as 162 × 3 = 486 and 486 × 3 = 1458.

Explanation

The day of the week for Pranay's birthday is determined by calculating the number of odd days between March 14 and September 13 in the same year. The total number of days is the sum of the remaining days in March and the full days of the intervening months up to the target date.

Days in March = 31 - 14 = 17 Days in April = 30 Days in May = 31 Days in June = 30 Days in July = 31 Days in August = 31 Days in September = 13

Total days = 17 + 30 + 31 + 30 + 31 + 31 + 13 = 183

To find the shift in the day of the week, calculate the remainder when the total number of days is divided by 7: Odd days = 183 7 = 1

Since Arnav's birthday on March 14 is a Tuesday, adding 1 odd day shifts the day to Wednesday.

Explanation

To determine if a total weight of 200 kilograms can be formed from the boxes weighing 90, 40, 80, and 50 kilograms, we evaluate the possible subset sums of these values. The total weight of all four boxes combined is 90 + 40 + 80 + 50 = 260 kilograms. For a specific combination to result in 200 kilograms, the weights excluded from that combination would have to sum to exactly 260 - 200 = 60 kilograms. Among the available boxes, none weigh 60 kilograms, and the sum of the two lightest boxes is 40 + 50 = 90 kilograms, which already exceeds the required 60 kilograms. Because no single weight or combination of weights can sum to the necessary 60-kilogram difference, a total weight of 200 kilograms is impossible to achieve using each box at most once.

Explanation

The word CHEAT cannot be formed using the letters of LATCHING because it contains the letter E. The base word LATCHING is composed of the letters L, A, T, C, H, I, N, and G, and does not provide the letter E required to spell CHEAT.

Explanation

The coding logic involves shifting each letter in the word two positions backward in the alphabetical sequence. In the word BOULDER, the transformation follows the pattern B-2=Z, O-2=M, U-2=S, L-2=J, D-2=B, E-2=C, and R-2=P, resulting in the code ZMSJBCP. Applying this same subtractive shift to the word ELK, the first letter E shifts two places back to C, the second letter L shifts two places back to J, and the third letter K shifts two places back to I. Thus, ELK is coded as CJI.

Explanation

According to the logic of the code language, the operators are substituted as follows: ÷ is replaced by -, + is replaced by ×, and - is replaced by +. Applying these substitutions to the given expression:

56 - 8 × 12 + 72

Following the BODMAS rule, multiplication is performed before addition and subtraction:

56 - 96 + 72

Now, combine the positive terms and then subtract:

56 + 72 - 96 128 - 96 = 32

Explanation

The logic used in the given operations is that the symbol # represents the division of the second number by the first number. Specifically, for an expression in the form A # B, the result is calculated using the formula Result = B ÷ A.

Applying this rule to the provided examples: 30 ÷ 6 = 5 24 ÷ 8 = 3 28 ÷ 7 = 4

Following this consistent mathematical pattern, the value for 8 # 40 is determined by dividing the second number by the first number. Calculating 40 ÷ 8 yields a result of 5.

Explanation

The numerical relationship in each row of the grid is determined by the subtraction of the value in the third column from the value in the first column to arrive at the value in the middle column. For the first row, 134 - 100 = 34. For the second row, 117 - 31 = 86. Applying this logic to the third row, the missing number is found by calculating 87 - 64 = 23.

Explanation

The plane's total displacement can be calculated by summing the movements along the East-West and North-South axes. Initially, the plane moves 100 km West. After turning South for 150 km and then West again for 300 km, its cumulative displacement is 400 km West and 150 km South. From a Westward heading, a right turn points the plane North. Moving 150 km North offsets the previous Southward travel completely, as 150 km South - 150 km North = 0 km net vertical displacement. This leaves only the total Westward movement of 100 km + 300 km = 400 km along the horizontal axis.

Explanation

The logical relationship between the sets can be understood through categorical syllogisms. Statement 2 establishes that the sets Day and Night are completely disjoint, meaning they share no common elements. By the principle of conversion for universal negative propositions (E-type), if No day is night, it is logically necessary that No night is day. This validates Conclusion I.

Furthermore, Statement 1 indicates that the set Dawn is a subset of Day. Given that the entire set of Day is excluded from the set of Night, any subset within Day, such as Dawn, must also be excluded from Night. This means that No dawn is night is a necessary consequence, which contradicts Conclusion II. Therefore, only Conclusion I is logically sound based on the given premises.

Explanation

The analogy follows the relationship between an adult animal and its offspring. In the first pair, a calf is the specific term used for the young of a cow. Applying this same logical pattern to the second pair, the term used for the young or offspring of a hen is a chick.

Explanation

The relationship between the letter clusters is based on a constant subtraction in their alphabetical positions. In the first pair, DHL corresponds to AEI. By converting the letters to their numerical ranks in the alphabet, D is 4, H is 8, and L is 12, while A is 1, E is 5, and I is 9. Each letter in the second cluster is obtained by subtracting 3 from the rank of the corresponding letter in the first cluster (4 - 3 = 1, 8 - 3 = 5, and 12 - 3 = 9). Applying this same pattern to QUY, where the numerical ranks are Q=17, U=21, and Y=25, we subtract 3 from each position: 17 - 3 = 14, 21 - 3 = 18, and 25 - 3 = 22. The letters corresponding to these ranks are N, R, and V, respectively.

Explanation

The relationship between the numbers in the first pair is that the second number is the reciprocal of the first number. Mathematically, this is expressed as:

1 ÷ 0.5 = 2

Applying the same logic to the second pair, the missing number is the reciprocal of 0.125:

1 ÷ 0.125 = 8

This can also be understood by converting the decimals into fractions. Since 0.5 is equivalent to 1/2, its reciprocal is 2. Similarly, 0.125 is equivalent to 1/8, and its reciprocal is 8.

Explanation

Book, Page, and Diary are all paper-based products or components that serve as the physical medium for reading or writing. A Pen is distinct because it is a writing instrument or tool used to apply ink to those surfaces, rather than being part of the paper material itself.

Explanation

The alphabetical positional values for the letters in NLJ are 14, 12, and 10 respectively. This sequence follows a decreasing pattern where each letter is 2 positions behind the preceding one, which can be expressed by the progression 14, 12, 10. This alternative is the odd one out because it is the only sequence among the choices that follows a descending alphabetical order, whereas the other options are arranged in an ascending order.

Explanation

The number 63 is a composite number because it has divisors other than 1 and itself, specifically 3, 7, 9, and 21. The other numbers in the given set are prime numbers, which possess exactly two distinct positive divisors: 1 and the number itself.

Explanation

In a dictionary, words are arranged alphabetically based on each successive letter. All words in the series start with the common prefix Life. To determine the order, we compare the letters following this prefix. The sequence provided is Lifelike, Lifeline, and Lifelong. Comparing the fifth and sixth letters, we see a progression: L-I-F-E-L-I-K, L-I-F-E-L-I-N, and L-I-F-E-L-O. Since E comes before I in the alphabet, Lifeless (L-I-F-E-L-E) correctly precedes Lifelike in the dictionary order. Thus, Lifeless is the word that completes the series.

Explanation

The series follows an increasing addition pattern based on the positions of the letters in the English alphabet. The numerical positions of the given letters are B = 2, C = 3, E = 5, H = 8, and L = 12.

The differences between consecutive terms are: 3 - 2 = +1 5 - 3 = +2 8 - 5 = +3 12 - 8 = +4

Following this pattern of increasing the difference by 1 at each step, the next difference must be +5. Adding 5 to the position of L (12) gives 12 + 5 = 17. The 17th letter of the English alphabet is Q.

Explanation

The series follows a pattern where the difference between consecutive terms increases by 1 for each subsequent term. By examining the differences between the later terms in the sequence: 21 - 14 = 7 14 - 8 = 6 8 - 3 = 5

The differences are decreasing by 1 as we move toward the start of the series. Following this logic, the difference between the missing second term and the third term (3) must be 4, and the difference between the first term (-4) and the missing second term must be 3.

Let the missing term be x. According to the pattern: x - (-4) = 3 x + 4 = 3 x = -1

To verify this, we check the next term in the sequence using a difference of 4: -1 + 4 = 3

This matches the third term of the series, confirming that the sequence is formed by adding 3, 4, 5, 6, and 7 respectively.

Explanation

To find the day of the week for Ritu's birthday, calculate the total number of days from March 8th to July 10th in the same year. The days are distributed as follows: 23 days remaining in March (31 - 8), 30 days in April, 31 days in May, 30 days in June, and 10 days in July.

The total number of days is 23 + 30 + 31 + 30 + 10 = 124. To determine the shift in the day of the week, divide the total days by 7 to find the number of odd days.

124 ÷ 7 = 17 weeks and 5 days remainder.

Since there are 5 odd days, move forward 5 days from Wednesday. Wednesday + 5 days results in Monday. Alternatively, adding 5 days to the third day of the week (Wednesday) gives 8, and 8 7 = 1, which represents the first day of the week.