SSC CGL Tier 1 2016 General Intelligence & Reasoning Questions with Solutions

Explanation

The relationship established in the first pair is between an animal and its foot structure. A cat is a feline that possesses paws, which are soft, padded feet. Similarly, a horse is an ungulate characterized by having hooves, which are hard, keratinous coverings on its feet.

Explanation

The relationship is based on the numerical positions of letters in the English alphabet, where A=1, B=2, ..., Z=26. In the first pair, JMPS consists of J(10), M(13), P(16), and S(19), where each letter is determined by adding 3 to the previous one (n + 3). Similarly, the related term ADGJ consists of A(1), D(4), G(7), and J(10), which also follows the n + 3 pattern. The transformation between the two sets involves a constant backward shift of 9 positions for each letter (10 - 9 = 1, 13 - 9 = 4, 16 - 9 = 7, 19 - 9 = 10).

Applying this logic to the second pair, QTWZ consists of Q(17), T(20), W(23), and Z(26), maintaining the n + 3 internal progression. To find the related term, we look for a four-letter sequence that maintains this same internal +3 difference. Among the choices, LORU corresponds to L(12), O(15), R(18), and U(21). This sequence follows the n + 3 pattern and is derived from QTWZ by applying a consistent backward shift of 5 positions to each letter (17 - 5 = 12, 20 - 5 = 15, 23 - 5 = 18, 26 - 5 = 21).

Explanation

The relationship between the numbers in the first pair is based on the square of the second number. Calculating the square of 29 gives 29 × 29 = 841. Following the same logic for the second pair, the missing value is the square root of 289. Since 17 × 17 = 289, or √(289) = 17, the related number is 17.

Explanation

The flute is a wind instrument that produces sound through the vibration of air blown into it by the player. It is the only instrument in the group that requires the use of the player's breath to generate sound, whereas the other instruments are operated exclusively by hand.

Explanation

The alphabetical positions of the letters in ZYX are 26, 25, and 24. In this group, the difference between the numerical positions of consecutive letters is 1 (26 - 25 = 1 and 25 - 24 = 1). All other letter sets in the group follow a different constant difference where the position of each letter decreases by 4, satisfying the formula Pₙ₊₁ = Pₙ - 4. Since ZYX uses a unit decrement rather than the 4-step decrement observed elsewhere, it is the odd pair.

Explanation

The number 24 is not a perfect square. In mathematical reasoning for number sets, the odd one out is often determined by power properties such as squares or cubes. While the other values in this group are perfect squares of consecutive integers, specifically 7², 8², and 9², the number 24 cannot be expressed in the form n² for any integer n.

Explanation

To arrange words in alphabetical dictionary order, each letter is compared sequentially from left to right. All four words share the initial prefix Inco. Examining the fifth letter, m in Incomparable and Incompatible comes before n in Incongruous and Inconsistent in the alphabet. Comparing Incomparable and Incompatible, the first six letters Incompa are identical, so the seventh letters are evaluated; r in Incomparable precedes t in Incompatible, making 2 the first word and 1 the second. Among the remaining words, Incongruous and Inconsistent share the prefix Incon; comparing the sixth letter, g in Incongruous precedes s in Inconsistent, making 3 the third word and 4 the fourth. The resulting sequence is 2, 1, 3, 4.

Explanation

The series is constructed by applying a +2 alphabetical shift to each corresponding letter position from one term to the next.

For the first letter of each term, the sequence is d (4th letter), f (6th letter), and h (8th letter). Adding 2 to the position of h gives the 10th letter, which is j.

For the second letter of each term, the sequence is e (5th letter), g (7th letter), and i (9th letter). Adding 2 to the position of i gives the 11th letter, which is k.

For the third letter of each term, the sequence follows the pattern m (13th letter), o (15th letter), and q (17th letter). Adding 2 to the position of q gives the 19th letter, which is s.

By combining the identified letters j, k, and s, the missing term in the sequence is determined to be jks.

Explanation

The given sequence is a series of cubes of consecutive natural numbers starting from 1. The mathematical pattern for the nᵗʰ term in the series is aₙ = n³.

The first six terms are: 1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125 6³ = 216

Following this progression, the next number in the series is the cube of 7. Calculating this value gives 7³ = 7 × 7 × 7 = 343.

Explanation

The lady's mother's husband is the lady's father. The lady's father's sister is the lady's paternal aunt. The statement implies that the man's mother is the lady's paternal aunt. Children of siblings are cousins to each other. Since the man is the son of the lady's aunt, he is her cousin.

Explanation

When an object covers equal distances at two different speeds, v₁ and v₂, the average speed for the entire journey is calculated using the harmonic mean of the speeds: Vₐᵥ_g = 2v₁v₂{v₁ + v₂}. In this case, the distance between the two cities is constant for both the outward and return trips, making this formula directly applicable.

Substituting the given values v₁ = 30 km/hr and v₂ = 20 km/hr into the formula: Vₐᵥ_g = (2 × 30 × 20)/(30 + 20) Vₐᵥ_g = ¹²⁰⁰⁄₅₀ Vₐᵥ_g = 24 km/hr

Alternatively, one can use the fundamental definition where Average Speed = Total Distance / Total Time. The time taken to go is 30/30 = 1 hour, and the time taken to return is 30/20 = 1.5 hours. The total distance covered is 30 + 30 = 60 km, and the total time taken is 1 + 1.5 = 2.5 hours. Dividing 60 km by 2.5 hours results in 24 km/hr.

Explanation

The word OPINION requires the letters O (2), P (1), I (2), and N (2). Looking at the source word COMPANIONSHIP, the available letters and their frequencies are C (1), O (2), M (1), P (2), A (1), N (2), I (2), S (1), and H (1). Since COMPANIONSHIP contains at least two O's, one P, two I's, and two N's, all the letters necessary to form OPINION are present in the required quantities.

Explanation

The word THOUGHT is coded by reversing the entire string (T-H-O-U-G-H-T becomes T-H-G-U-O-H-T). Applying the same logic to the word THROAT (T-H-R-O-A-T), the reversed string is T-A-O-R-H-T, which corresponds to option D.

Explanation

By substituting the signs as given in the problem, where + becomes ×, - becomes ÷, × becomes +, and ÷ becomes -, the equation in option a is transformed into 100 × 5 ÷ 10 + 250 - 200.

Following the BODMAS rule for the order of operations, we first perform the division: 5 ÷ 10 = 0.5

Next, we perform the multiplication: 100 × 0.5 = 50

Then, we perform the addition: 50 + 250 = 300

Finally, we perform the subtraction: 300 - 200 = 100

The result of the expression is 100, which matches the right-hand side of the equation.

Explanation

The mathematical operation followed in the sequence is a b = a + b - (a × b). We can verify this pattern using the given equations. For 1 2, the calculation is 1 + 2 - (1 × 2) = 3 - 2 = 1. For 2 3, the calculation is 2 + 3 - (2 × 3) = 5 - 6 = -1. For 3 4, the calculation is 3 + 4 - (3 × 4) = 7 - 12 = -5. Applying this specific rule to the target expression 7 * 9, we get 7 + 9 - (7 × 9) = 16 - 63 = -47.

Explanation

The movement of the girl can be mapped on a Cartesian coordinate system starting from the origin (0, 0). First, she walks 30 meters south to reach (0, -30). Turning to her right (West) and walking 30 meters takes her to (-30, -30). Then, turning to her left (South) and walking 20 meters brings her to (-30, -50). Finally, turning to her left (East) and walking 30 meters places her at (0, -50).

The total distance from the starting point (0, 0) to the final position (0, -50) is calculated by the displacement along the north-south axis. Since the horizontal movements of 30 meters West and 30 meters East cancel each other out, the total distance from the initial position is the sum of the two southward segments: 30 m + 20 m = 50 m.

Explanation

The first statement establishes that the set of men and the set of donkeys are disjoint, meaning they have no common members. The second statement identifies Ajay as a member of the set of men. Since Ajay belongs to the set of men and no man is a donkey, it logically follows that Ajay cannot be a donkey. Therefore, Conclusion I is a direct and valid deduction from the given premises.

Conclusion II states that all men are not Ajay, which is a universal negative assertion implying that no man is Ajay. This contradicts the second statement, which explicitly defines Ajay as a man. In formal logic, if an individual belongs to a category, the statement that no member of that category is that individual is false. Thus, Conclusion II cannot be drawn from the statements.

Explanation

The total strength of the class can be calculated using the principle of inclusion-exclusion for two sets. The formula is n(A ∪ B) = n(A) + n(B) - n(A ∩ B), where n(A) represents the notebooks corrected with ink pen, n(B) represents the notebooks corrected with colour pencil, and n(A ∩ B) represents the notebooks corrected with both.

Substituting the given values into the formula: Total notebooks = 14 + 22 - 4 Total notebooks = 36 - 4 Total notebooks = 32

By adding the two individual groups and subtracting the overlap of 4 notebooks that were counted twice, the total number of unique notebooks, which represents the strength of the class, is 32.

Explanation

The relationship follows the pattern of a performance and its primary performer. A play is a theatrical performance delivered by an actor. Similarly, a concert is a musical performance delivered by a musician.

Explanation

The relationship between the first pair, EGIK and FILO, is established by adding an increasing sequence of integers to the alphabetical position of each letter. The transformation follows a +1, +2, +3, and +4 pattern: E (5) + 1 = F (6) G (7) + 2 = I (9) I (9) + 3 = L (12) K (11) + 4 = O (15)

Applying this same incremental addition logic to the third term, using the sequence of even-positioned letters starting with F, H, J, and L (6, 8, 10, 12): F (6) + 1 = G (7) H (8) + 2 = J (10) J (10) + 3 = M (13) L (12) + 4 = P (16)

The resulting letters are G, J, M, and P, which corresponds to GJMP.

Explanation

The relationship in the given analogy is based on the sum of the digits of each number. In the first pair, the sum of the digits for both numbers is identical: 5 + 8 + 3 = 16 2 + 9 + 5 = 16

Applying this same logic to the second pair, we first determine the sum of the digits for the number 486: 4 + 8 + 6 = 18

To find the related number, we identify which option has a digit sum equal to 18. Calculating the sum for 378: 3 + 7 + 8 = 18

Since the sum of the digits of 378 matches the sum of the digits of 486, it is the correct alternative.

Explanation

Water is a liquid, which is a state of matter defined by having a definite volume. While it conforms to the shape of its container, it maintains a constant and measurable space occupation at a given temperature and pressure. This physical property distinguishes it from entities that lack a fixed volume, such as those that expand to fill all available space or those that exist as forms of energy rather than matter in a traditional sense.

Explanation

Mapping the letters to their alphabetical positions where A=1, B=2, …, Z=26, the group RTUX follows an increasing sequence of 18, 20, 21, and 24. This represents a progression with intervals of +2 (18 to 20), +1 (20 to 21), and +3 (21 to 24). In contrast, all other alternatives follow a decreasing alphabetical sequence with consistent intervals of -2, -1, and -3. For example, the letters in the other sets move backward from their starting position, whereas RTUX is the only set that moves forward.

Explanation

The pair 52-61 is the odd one out based on the arithmetic difference between the two numbers in each pair. In the alternative pairs, the difference is calculated as y - x = 11, as seen in 54 - 43 = 11, 83 - 72 = 11, and 29 - 18 = 11. In the case of 52-61, the calculation yields 61 - 52 = 9. Because this pair does not follow the common difference of 11 shared by the others, it is the outlier.

Explanation

Dictionary order is determined by comparing the letters of each word sequentially from left to right. All five words begin with the same three letters Fra. Comparing the fourth letters, n in Franchise and Frantic comes before t in Fraternity and u in Fraudulent and Fraught. Between Franchise (4) and Frantic (5), the fifth letter c in Franchise precedes the t in Frantic, establishing the sequence 4, 5. The next word is Fraternity (3) because its fourth letter t precedes the letter u found in the remaining words. Finally, for the words starting with Frau, the fifth letter d in Fraudulent (1) precedes the g in Fraught (2), establishing the sequence 1, 2. Arranging these together results in the sequence 4, 5, 3, 1, 2.

Explanation

The given letter series contains 16 positions, including 12 letters and 4 gaps. By sequentially placing the letters from option a (I, H, J, I) into the gaps, the series is completed as follows:

H (I) I H / H (H) I J / H H I (J) / H H (I) I H

Wait, let us organize the letters into a clear 16-character string: H I I H H I J H H I J H H I I H. To identify the underlying logic, this string can be divided into four groups of four letters each:

H I I H H I J H H I J H H I I H

The sequence follows an ABBA pattern, where the first and fourth blocks are identical (HIIH) and the second and third blocks are identical (HIJH). This symmetric arrangement confirms that the letters I, H, J, and I correctly complete the logical progression of the series.

Explanation

The given sequence is an arithmetic progression where each term increases by a constant common difference of 9. By calculating the difference between consecutive terms, we find that 72 - 63 = 9, 81 - 72 = 9, and 90 - 81 = 9. To find the missing number, we apply the same rule to the fourth term: 90 + 9 = 99. This result is consistent with the rest of the series, as adding 9 to 99 results in the final term, 108. The series can also be identified as a sequence of consecutive multiples of 9, specifically 9 × 7, 9 × 8, 9 × 9, 9 × 10, 9 × 11, and 9 × 12.

Explanation

Rajiv and Arun are brothers. Since Arun is the son of Sonia, Rajiv is also the son of Sonia. Sonia is the sister of Sunil. The relationship of a person to their mother's brother or sister is that of a nephew or niece. Specifically, Rajiv, being male and the son of Sunil's sister, is the nephew of Sunil.

Explanation

Let the daughter's present age be x years. Since the mother is five times older than her daughter, the mother's present age is 5x.

After 5 years, the daughter's age will be x + 5 years and the mother's age will be 5x + 5 years. According to the problem, the mother's age at that time will be three times the daughter's age:

5x + 5 = 3(x + 5)

To find the value of x, solve the linear equation:

5x + 5 = 3x + 15

Subtract 3x and 5 from both sides:

2x = 10 x = 5

The daughter's present age is 5 years. Therefore, the mother's present age is 5x = 5 × 5 = 25 years.

Explanation

The word PAVEMENT cannot be formed because it requires the letters A and V, neither of which is present in the source word PRONOUNCEMENT. While other components like P, E, M, N, and T are available, the absence of both A and V makes it impossible to construct PAVEMENT using only the letters provided in the original word.

Explanation

The coding logic follows a simple alphabetical shift where each letter in the word is replaced by the letter immediately preceding it in the English alphabet, represented by the rule Letter - 1. In the word SYSTEM, S is replaced by R, Y by X, S by R, T by S, E by D, and M by L. Applying this same transformation to CORRECT, we subtract one position from each letter: C becomes B, O becomes N, R becomes Q, the second R becomes Q, E becomes D, C becomes B, and T becomes S. Concatenating these results gives the code BNQQDBS.

Explanation

Substitute the given operators into the expression 9A2B6D4C2 to get the mathematical equation 9 + 2 × 6 - 4 ÷ 2. Following the BODMAS rule, division is performed first, which gives 4 ÷ 2 = 2. Next, perform the multiplication 2 × 6 = 12. The expression simplifies to 9 + 12 - 2. Proceeding with addition, 9 + 12 results in 21. Finally, subtracting 2 from 21 results in 19.

Explanation

The logic followed in the given series is 2(a + b) = result, where a and b are the operands shown in the multiplication format.

Substituting the values from the provided equations: For 4 × 3 = 14: 2(4 + 3) = 2 × 7 = 14 For 5 × 4 = 18: 2(5 + 4) = 2 × 9 = 18 For 6 × 5 = 22: 2(6 + 5) = 2 × 11 = 22

Applying the same logic to find the value of 7 × 6: 2(7 + 6) = 2 × 13 = 26

Explanation

The numerical pattern in the grid is established by the product of the first and third columns yielding the value in the middle column. In the first row, the operation is 7 × 8 = 56. In the third row, the operation is 11 × 9 = 99. To find the missing value in the second row, the relationship follows 9 × x = 45. Solving for x gives 45 ÷ 9 = 5.

Explanation

Rita's movement can be traced on a coordinate plane starting from (0, 0). Her first movement of 35 km South places her at (0, -35). Turning left while facing South directs her toward the East; travelling 20 km in this direction moves her to the coordinates (20, -35). Her final left turn from an Eastward heading points her North. Moving 35 km North from (20, -35) results in a final position of (20, 0). Since her final position has the same y-coordinate as the starting point but a positive x-coordinate, she is located exactly to the East of her starting point.

Explanation

The statement establishes a conditional relationship where hard work is a necessary requirement for achieving economic development. This implies a logical connection or direct relationship between the effort exerted by people and the progress of the economy. Therefore, Conclusion I follows because it accurately reflects the dependency stated in the premise. Conclusion II is an external assumption about the feasibility of work that is not supported or suggested by the given text.