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

Explanation

The series is governed by the shifting position of the letter n. In each consecutive word, the letter n moves one place to the right. The five words preceding the missing term are napkin, enjoy, insane, bounce, and amount, where the letter n occupies the 1st, 2nd, 3rd, 4th, and 5th positions respectively.

The sixth term in the series must therefore have the letter n in the 6th position. In the word neptune, the letter n appears at the 6th position (n-e-p-t-u-n-e).

Explanation

The given sequence is an arithmetic progression where each term is obtained by adding a constant common difference to the previous term. To identify the pattern, we first convert the fractions in the series to their decimal equivalents: -7/4 = -1.75 5/4 = 1.25

The series can now be written as: -1.75, -1, -0.25, ?, 1.25, 2

The common difference d is found by subtracting the first term from the second term: d = -1 - (-1.75) = 0.75

We can verify this difference with other known terms: -0.25 - (-1) = 0.75 2 - 1.25 = 0.75

To find the missing term, we add the common difference of 0.75 to the third term: -0.25 + 0.75 = 0.5

Adding 0.75 to 0.5 yields 1.25, which matches the fifth term (5/4), confirming that the missing value is 0.5.

Explanation

To determine the day of the week for Sahil's birthday on October 19, we calculate the total number of days elapsed from May 28. The remaining days in May are 3 (31 - 28 = 3). The subsequent months contribute 30 days in June, 31 days in July, 31 days in August, 30 days in September, and 19 days in October. Summing these provides the total duration: 3 + 30 + 31 + 31 + 30 + 19 = 144 days. To find the number of odd days, we use the formula Total Days 7. Thus, 144 ÷ 7 leaves a remainder of 4. Adding these 4 odd days to the starting day of Sunday results in Thursday.

Explanation

The given weights are 20, 30, 60, and 70 kilograms. The total sum of all four boxes is 20 + 30 + 60 + 70 = 180 kg. For a combination of these boxes to result in a total weight of 170 kg, the box or boxes excluded from that combination must have a combined weight of 180 - 170 = 10 kg. Because the minimum weight of any single box provided is 20 kg, it is mathematically impossible to exclude a weight of 10 kg from the total. Furthermore, the maximum possible sum using only three boxes is 30 + 60 + 70 = 160 kg, and the total using four boxes is 180 kg, which leaves 170 kg unreachable.

Explanation

The word REALM cannot be formed because it contains the letter E, which is not present in the given word PROXIMAL. The available letters in PROXIMAL are P, R, O, X, I, M, A, and L. Since the letter E is missing from this set, any word requiring it cannot be constructed.

Explanation

The coding logic follows an alphabetical shift where each letter in the original word is replaced by the letter immediately preceding it in the alphabet (n - 1). In the provided example, PONDERS is transformed into ONCDQR by applying this shift and omitting the third letter N: P - 1 = O, O - 1 = N, D - 1 = C, E - 1 = D, R - 1 = Q, and S - 1 = R.

Applying the same n - 1 shift to the word MAT: The letter M (13th letter) moves one position back to L (12th letter). The letter A (1st letter) moves one position back, which cycles to the end of the alphabet to Z (26th letter). The letter T (20th letter) moves one position back to S (19th letter).

The resulting code sequence is LZS.

Explanation

According to the coding rules, the mathematical operators are replaced as follows: × is replaced by ÷, ÷ is replaced by -, + is replaced by ×, and - is replaced by +. Applying these substitutions to the given expression 80 × 16 ÷ 4 + 2 - 8, we get: 80 ÷ 16 - 4 × 2 + 8

To solve this, we use the BODMAS rule, which dictates the sequence of operations as Division, Multiplication, Addition, and Subtraction. Step 1: Perform the division. 80 ÷ 16 = 5

Step 2: Substitute the result and perform the multiplication. 5 - 4 × 2 + 8 = 5 - 8 + 8

Step 3: Perform the remaining addition and subtraction operations. 5 - 8 + 8 = 5

Explanation

The logic defines the operator % as the sum of all the individual digits of the two numbers provided in the expression. For the first given example, 35 % 31, the sum is 3 + 5 + 3 + 1 = 12. For the second example, 92 % 30, the sum is 9 + 2 + 3 + 0 = 14. Applying this same rule to the target expression 15 % 24, we calculate the sum of the digits as 1 + 5 + 2 + 4 = 12.

Explanation

The logic followed in this table is based on column-wise subtraction where the number in the third row is the difference between the number in the first row and the number in the second row.

In the second column, the operation is 314 - 39 = 275. In the third column, the operation is 205 - 102 = 103.

Applying the same mathematical pattern to the first column, the missing value is calculated by subtracting 34 from 111: 111 - 34 = 77

Explanation

Let the starting point for both X and Y be the origin (0, 0). X travels 17 m West to reach (-17, 0), then turns right to walk 13 m North, ending at the position (-17, 13). Y travels 9 m North to reach (0, 9), turns East for 7 m to reach (7, 9), and finally turns left to walk another 4 m North, ending at the position (7, 13). Since both individuals are at the same vertical displacement of 13 m North from the starting point, the distance between them is purely horizontal. The separation is the difference between their x-coordinates, calculated as 7 - (-17) = 24 m. Because Y is located to the right of X on the coordinate plane, Y is 24 m East of X.

Explanation

Argument I is weak because it relies on a false analogy between two different industries with distinct cultural contexts. The success of Hollywood films without songs is based on Western storytelling traditions and audience preferences, which do not directly translate to the functional or aesthetic requirements of Indian cinema.

Argument II is weak because increasing the duration of a movie is not a qualitative or logical justification for including songs. Adding length is generally considered a superficial factor and does not inherently improve the value, narrative flow, or success of a film, thus failing to provide a strong reason for their retention.

Explanation

The relationship in the first pair is based on an organ and a specific expressive action or gesture associated with it. A smile is a facial expression primarily characterized by the movement and positioning of the lips. Similarly, a wink is a specific gesture or expression performed by the quick closing and opening of the eyes.

Explanation

The relationship between the letter groups is defined by a constant forward shift of 6 positions in the English alphabet. For the first pair EHJ to KNP: E (5) + 6 = 11 (K) H (8) + 6 = 14 (N) J (10) + 6 = 16 (P)

Applying this same +6 logic to the set SVX: S (19) + 6 = 25 (Y) V (22) + 6 = 28. Since the alphabet has 26 letters, 28 - 26 = 2, which corresponds to B. X (24) + 6 = 30. Similarly, 30 - 26 = 4, which corresponds to D.

The sequence obtained is YBD.

Explanation

The numerical analogy follows a simple multiplication pattern where the second term is double the first term. By applying the operation to the first pair, we find that 357 × 2 = 714. Following the same logic for the second pair, we multiply the given number by 2 to find the missing value: 468 × 2 = 936.

Explanation

Dates are classified as fleshy fruits (specifically drupes) harvested from the date palm tree, characterized by their high sugar content and soft, pulpy texture even when dried. Almond, walnut, and cashew are botanically categorized as nuts or seeds that are encased in a hard outer shell and contain an edible, oil-rich kernel. While all four are culinarily used as dry fruits, dates are succulent fruits, whereas the others are dry-seeded structures.

Explanation

The set HFE is the odd one because it does not follow the pattern of three consecutive letters in reverse alphabetical order. In the other sequences, each letter is the immediate predecessor of the previous letter in the alphabet, following the pattern n, n-1, n-2. For HFE, the letters are H (8), F (6), and E (5). This sequence skips the letter G, resulting in a gap of two positions between the first and second letters (8 - 2 = 6) instead of the consistent one-position decrement found in the other alternatives.

Explanation

33 is a composite number because it has divisors other than 1 and itself, specifically 3 and 11 (3 × 11 = 33). The other numbers in the set are prime numbers, as they are only divisible by 1 and the numbers themselves. Therefore, 33 is the odd one out based on the property of primality.

Explanation

The relationship established in the first pair is based on the characteristic geometric shape of the object. A spring is defined by its spiral form, which allows it to function through tension or compression. Applying the same logic to the second pair, a bangle is fundamentally defined by its circular shape. Just as a spiral describes the physical structure of a spring, a circle describes the physical structure of a bangle.

Explanation

The given series follows a pattern based on the position of the letter q within each word. In the first word Queen, q is the 1st letter. In the second word Aqua, q is the 2nd letter. In the third word Pique, q is the 3rd letter. In the fourth word Torque, q is the 4th letter. In the fifth word Antique, q is the 5th letter. To continue this sequence, the next word must have the letter q at the 6th position. In the word Prerequisite, the first five letters are P, r, e, r, and e, which places the letter q at the 6th position.

Explanation

The relationship between the letter clusters follows a consistent subtraction pattern based on the alphabetical positions of the letters. In the first pair WUV : TRS, each letter in the second group is obtained by subtracting 3 from the corresponding letter in the first group: W (23) - 3 = T (20), U (21) - 3 = R (18), and V (22) - 3 = S (19). Applying this same logic to the third group QOP, we subtract 3 from each letter: Q (17) - 3 = N (14), O (15) - 3 = L (12), and P (16) - 3 = M (13). The resulting sequence is NLM.

Explanation

The relationship between the first pair of numbers is determined by adding a constant value of 0.5 to the first term. Specifically, 7.25 + 0.5 = 7.75. Applying the same logic to the second part of the analogy, we add 0.5 to the number 9, which results in 9 + 0.5 = 9.5.

Explanation

The housefly is an insect belonging to the phylum Arthropoda and the class Insecta. It is an invertebrate characterized by a chitinous exoskeleton, a three-part body, and six jointed legs. In contrast, sparrows, pigeons, and crows are all birds classified under the class Aves within the phylum Chordata. These avian species are vertebrates with feathers, wings, and skeletal systems. The housefly is the odd one out because it is the only insect among a group of birds.

Explanation

The group XWV consists of three consecutive letters in reverse alphabetical order, following the positional pattern n, n-1, n-2. In terms of alphabetical positions, this corresponds to 24 → 23 → 22. In contrast, the other three alternatives follow a pattern where the first and second letters are consecutive in reverse order, but the third letter is one position ahead of the first, following the pattern n → n-1 → n+1. For instance, in RQS, the positions are 18 → 17 → 19; in MLN, they are 13 → 12 → 14; and in FEG, they are 6 → 5 → 7. Because XWV maintains a uniform decreasing sequence while the others do not, it is the odd letters group.

Explanation

The number 640 is the odd one out because it is not divisible by 50. A number is divisible by 50 if and only if its last two digits are 00 or 50. Since 640 terminates in the digits 40, it does not satisfy this divisibility requirement. Mathematically, 640 divided by 50 results in 12.8, whereas the other values in the set yield whole numbers when divided by 50.

Explanation

The series follows a logical pattern determined by the position of the letter o within each successive word. Starting with Oxygen, the letter O is the 1st character. In the second word, Toil, the letter o moves to the 2nd position. In Arouse, it is the 3rd character; in Arson, it is the 4th character; and in Tenuous, it is the 5th character. Following this pattern, the subsequent word must feature the letter o in the 6th position. In the word Lustrous, the letter o occupies the 6th position, which correctly completes the established sequence.

Explanation

The series follows a pattern based on groups of three consecutive letters in reverse alphabetical order. By looking at the first letter of each group and its numerical position in the alphabet (A=1, …, Z=26), we observe: Z(26), V(22), Q(17), M(13), H(8). The differences between the first letters of consecutive terms are 26 - 22 = 4, 22 - 17 = 5, 17 - 13 = 4, and 13 - 8 = 5. This shows an alternating pattern of subtracting 4 and 5. Therefore, the next first letter is 8 - 4 = 4, which corresponds to D. Since each term is a reverse sequence of three consecutive letters, the group starting with D is DCB. Alternatively, checking the gap between the last letter of one group and the first letter of the next: X(24) to V(22) skips one letter (W), T(20) to Q(17) skips two letters (S, R), O(15) to M(13) skips one letter (N), and K(11) to H(8) skips two letters (J, I). Following the alternating skip-1, skip-2 pattern, the next gap skips one letter (E), starting the next term at D.

Explanation

The given series is a geometric progression where each term is obtained by multiplying the preceding term by a common ratio r = -0.5, or equivalently, dividing by -2.

The calculations for the sequence are as follows: 400 ÷ (-2) = -200 -200 ÷ (-2) = 100 100 ÷ (-2) = -50 -50 ÷ (-2) = 25 25 ÷ (-2) = -12.5

Following this pattern, the missing number in the series is 100 × (-0.5) = -50.

Explanation

The number of days between May 29 and November 17 in the same year can be calculated by summing the remaining days in each month. For May, there are 31 - 29 = 2 days. June has 30 days, July has 31 days, August has 31 days, September has 30 days, October has 31 days, and Rachit was born on the 17th of November.

The total number of days is 2 + 30 + 31 + 31 + 30 + 31 + 17 = 172 days. To find the day of the week, we divide the total number of days by 7 to find the remainder, also known as odd days. Calculation: 172 ÷ 7 = 24 weeks and a remainder of 4 days.

Since Bhavin's birthday on May 29 is a Monday, we add the 4 odd days to Monday. Counting forward from Monday: Tuesday (1), Wednesday (2), Thursday (3), and Friday (4). Therefore, Rachit's birthday on November 17 falls on a Friday.

Explanation

To determine if a total weight of 200 kg can be formed from the boxes weighing 30, 60, 70, and 90 kg, we evaluate the possible subset sums using each box at most once. The total sum of all four boxes is 30 + 60 + 70 + 90 = 250 kg. If a combination were to total 200 kg, the remaining boxes not included in that combination would have to sum to exactly 250 - 200 = 50 kg. Looking at the available weights, no single box weighs 50 kg, and the minimum sum of any two boxes is 30 + 60 = 90 kg. Since 50 kg cannot be formed by any subset of the given weights, its complement of 200 kg is also impossible to achieve. Direct calculation of all subsets of three boxes confirms that no combination sums to 200 kg, as the sums either fall below or exceed this value.

Explanation

The series follows an alternating addition pattern based on the numerical positions of the letters in the English alphabet. The positions are F = 6, I = 9, M = 13, P = 16, and T = 20.

The differences between consecutive terms are: 9 - 6 = 3 13 - 9 = 4 16 - 13 = 3 20 - 16 = 4

The pattern of differences is +3, +4, +3, +4. To find the next term in the series, add 3 to the position of T: 20 + 3 = 23

The 23rd letter of the English alphabet is W.

Explanation

The word TEAMS contains the letter A, whereas the given word MYSTIQUE is composed of the letters M, Y, S, T, I, Q, U, and E. Since the letter A is not present in the source word, TEAMS cannot be formed using its letters.

Explanation

The coding pattern follows a subtraction rule where each letter in the original word is shifted two positions backward in the English alphabet (Letter_cₒ_dₑ = Letter_wₒᵣ_d - 2). In the word IMPLORE, the mapping is as follows: I(9) - 2 = G(7), M(13) - 2 = K(11), P(16) - 2 = N(14), L(12) - 2 = J(10), O(15) - 2 = M(13), R(18) - 2 = P(16), and E(5) - 2 = C(3). Applying this identical logic to the word HUB, we subtract two from the position of each letter: H(8) - 2 = F(6), U(21) - 2 = S(19), and B(2) - 2 = Z(26). This results in the code FSZ.

Explanation

To find the value of the expression 72 × 9 - 14 + 2, the original operators must be replaced according to the coded language. Based on the logic required to reach the answer 36, the substitutions are: × represents ÷, - represents +, and + represents ×.

Substituting these symbols into the expression, we get: 72 ÷ 9 + 14 × 2

Following the BODMAS rule (Division, Multiplication, Addition, Subtraction), the calculation is performed as follows:

First, perform the division: 72 ÷ 9 = 8 The expression now is 8 + 14 × 2.

Next, perform the multiplication: 14 × 2 = 28 The expression now is 8 + 28.

Finally, perform the addition: 8 + 28 = 36

Explanation

The mathematical pattern followed in these expressions is that the result is obtained by calculating the difference between the two numbers and then multiplying that difference by 2.

The logic can be expressed as: (A - B) × 2

For the first case: (52 - 32) × 2 = 20 × 2 = 40

For the second case: (22 - 20) × 2 = 2 × 2 = 4

Applying the same logic to the final expression: (15 - 11) × 2 = 4 × 2 = 8

Explanation

The relationship between the numbers in each column is governed by the exponentiation of the number in the third row by the number in the second row to result in the value in the first row.

In the first column, the third row value is 6 and the second row value is 3. Applying the rule: 6³ = 6 × 6 × 6 = 216.

In the second column, the third row value is 2 and the second row value is 4. Applying the rule: 2⁴ = 2 × 2 × 2 × 2 = 16.

Following this pattern for the third column, the third row value is 7 and the first row value is 49. We need to find the power x such that 7ˣ = 49. Since 7² = 49, the missing number in the second row is 2.

Explanation

The movement of the woman can be calculated by net displacement in the horizontal (East-West) and vertical (North-South) directions. Initially, she walks 250 m East. After turning North and then West, she travels 120 m in the West direction. The net displacement along the East-West axis is 250 - 120 = 130 m East. Regarding the vertical axis, she walks 100 m North and then turns left from West, which means she walks 100 m South. The net displacement along the North-South axis is 100 - 100 = 0 m. Since the vertical displacements cancel each other out, her final position is 130 m East relative to her starting point.

Explanation

According to the first statement, the set of all drinks is a subset of the set of food. The second statement specifies that the set of eatables has no intersection with the set of drinks. While eatables cannot overlap with the drinks portion of food, the statements provide no information regarding the relationship between eatables and the portion of food that does not consist of drinks. It is logically possible for the set of eatables to be entirely separate from the set of food. Since no definite intersection between the sets of food and eatables is necessitated by the premises, neither the conclusion that some food are eatables nor the conclusion that some eatables are food can be validly drawn.

Explanation

The series follows an arithmetic progression where each subsequent term is determined by subtracting a constant value from the previous term. By calculating the difference between the first two terms, we find 72 - 65.7 = 6.3. Similarly, the difference between the last two terms is 53.1 - 46.8 = 6.3. Since the common difference is constant at 6.3, the missing term is found by subtracting 6.3 from the second term: 65.7 - 6.3 = 59.4. This is verified by the fact that subtracting 6.3 from 59.4 results in 53.1, which is the fourth term in the sequence.

Explanation

To find the day of the week for Anika's birthday, we calculate the total number of days between 4th July and 15th August. July has 31 days, so the remaining days in July after the 4th are 31 - 4 = 27 days. Adding the 15 days of August, the total duration is 27 + 15 = 42 days.

The number of odd days is the remainder when the total number of days is divided by 7. Odd days = 42 7 = 0

Since there are 0 odd days, the day of the week does not shift. Given that 4th July is a Tuesday, 15th August will also be a Tuesday.

Explanation

To evaluate whether a total weight of 200 kg can be formed from the boxes weighing 20, 40, 70, and 100 kg, we consider all possible combinations of these weights. A sum of 200 kg would require a specific subset of the weights. If the 100 kg box is included, the remaining boxes in the combination must sum to exactly 100 kg. Using the other available weights of 20, 40, and 70 kg, the possible sums are 20, 40, 60, 70, 90, 110, and 130 kg. If the 100 kg box is not included, the maximum possible sum of the remaining three boxes is 70 + 40 + 20 = 130 kg, which is significantly less than the required 200 kg. Consequently, no subset of the given weights adds up to 200 kg.

Explanation

The word BASIC cannot be formed because it contains the letter A, which is not present in the base word SYMBOLIC. The letters available in SYMBOLIC are S, Y, M, B, O, L, I, and C. Since the letter A is missing from this set, any word requiring it cannot be constructed.

Explanation

The coding logic uses the opposite letter pairs in the English alphabet, where the sum of the positions of the original letter and its corresponding code letter is always 27. In the word HEROISM, H (8th) maps to S (19th), E (5th) to V (22nd), R (18th) to I (9th), O (15th) to L (12th), I (9th) to R (18th), S (19th) to H (8th), and M (13th) to N (14th).

Applying this to ALP: The letter A is the 1st letter, so its code is the 27 - 1 = 26th letter, which is Z. The letter L is the 12th letter, so its code is the 27 - 12 = 15th letter, which is O. The letter P is the 16th letter, so its code is the 27 - 16 = 11th letter, which is K.

Explanation

According to the given code language, the operators are substituted as follows: minus represents plus, plus represents multiplication, and division represents minus. Substituting these into the expression 15 - 5 + 25 ÷ 10, the equation becomes:

15 + 5 × 25 - 10

Following the BODMAS rule, multiplication is performed first:

15 + (5 × 25) - 10 = 15 + 125 - 10

Next, the addition and subtraction are performed in sequence:

140 - 10 = 130

Explanation

The operation @ follows the logic of doubling the sum of the two given numbers. The relationship can be expressed by the formula x@y = 2(x + y).

For the first expression: 2(23 + 5) = 2(28) = 56. For the second expression: 2(6 + 7) = 2(13) = 26. For the third expression: 2(5 + 2) = 2(7) = 14.

Following the same pattern for the final expression: 2(7 + 5) = 2(12) = 24.

Explanation

Let the starting point be the origin (0, 0) on a Cartesian plane where the positive y-axis represents North and the positive x-axis represents East. Person A cycles 10 km South to (0, -10), then turns right to face West and cycles 9 km, reaching the final position A = (-9, -10). Person B cycles 2 km North to (0, 2), turns West and cycles 15 km to (-15, 2), and then turns left to face South and cycles 12 km. The final y-coordinate for B is calculated as 2 - 12 = -10, resulting in the final position B = (-15, -10). Since both A and B are at the same vertical level of -10 on the y-axis, the distance between them is the difference in their x-coordinates: |-15 - (-9)| = 6 km. Because B is at -15 and A is at -9, B is positioned 6 km to the West of A.

Explanation

This analogy follows the relationship of an operator to the vehicle they command. A pilot is the professional responsible for the operation and navigation of a plane. Similarly, a captain is the person in command who is responsible for the navigation and operation of a ship.

Explanation

According to Statement 1, the set of wheat is a subset of the set of grain (W ⊆ G). Statement 2 indicates an intersection between the set of wheat and the set of flour (W ∩ F ≠ ∅). Because every element in the intersection of wheat and flour is also an element of wheat, and all wheat are grain, these elements must also belong to the set of grain. This confirms that there is an intersection between grain and flour, making Conclusion I valid. Furthermore, the existential statement some wheat are flour is logically reversible; if there are elements common to wheat and flour, then those same elements are common to flour and wheat. Thus, Conclusion II follows directly from Statement 2.

Explanation

The relationship between the first pair of letter clusters is determined by subtracting 3 from the alphabetical rank of each letter. In the cluster DFI, the positions are D = 4, F = 6, and I = 9. Subtracting 3 from each gives 4 - 3 = 1 (A), 6 - 3 = 3 (C), and 9 - 3 = 6 (F), resulting in the cluster ACF.

Applying the same logic to the cluster OQT, the alphabetical positions are O = 15, Q = 17, and T = 20. Subtracting 3 from each position yields 15 - 3 = 12, 17 - 3 = 14, and 20 - 3 = 17. These numerical positions correspond to the letters L, N, and Q respectively, forming the cluster LNQ.

Explanation

The relationship between the numbers follows the pattern x : x + ˣ⁄₁₁. In the first ratio, the first term is 77, and the second term is calculated as 77 + ⁷⁷⁄₁₁ = 77 + 7 = 84. Applying this same logic to the third term, 121, we find the fourth term by adding one-eleventh of its value to itself: 121 + ¹²¹⁄₁₁ = 121 + 11 = 132. Alternatively, the pattern can be seen as n × m : n × (m+1). For the first pair, 7 × 11 = 77 and 7 × 12 = 84. For the second pair, 11 × 11 = 121, so the next number is 11 × 12 = 132.

Explanation

Hills, Valleys, and Mountains are all categorized as natural landforms or geological features of the Earth's surface. Trees are biological organisms belonging to the plant kingdom and represent vegetation rather than physical terrain or geographical formations.