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

Explanation

The pattern followed in these equations is a specific rearrangement of the digits being multiplied. For any set of numbers x × y × z, the result is obtained by placing the second digit y in the hundreds place, the first digit x in the tens place, and the third digit z in the units place.

In the first equation, 7 × 4 × 9 results in 479, which follows the y, x, z order. In the second equation, 9 × 5 × 2 results in 592, maintaining the same order. Similarly, the third equation 6 × 9 × 5 results in 965.

Applying this rule to the unsolved equation 8 × 6 × 2, we arrange the digits in the order y, x, z. The second digit is 6, the first digit is 8, and the third digit is 2, which yields the final result of 682.

Explanation

The logic followed in this table is that the middle number in each row is equal to five times the difference between the first and third numbers. This can be expressed by the formula (Column 1 - Column 3) × 5 = Column 2. In the first row, the calculation is (7 - 5) × 5 = 10. In the second row, the calculation is (16 - 8) × 5 = 40. Following this pattern for the third row, the missing value is determined by subtracting 9 from 15 and multiplying the result by 5, which gives (15 - 9) × 5 = 6 × 5 = 30.

Explanation

Starting from the origin (0, 0), Sanmitra moves 8 m North to point (0, 8). Turning right means moving East, so walking 16 m brings him to (16, 8). Turning left from an Eastward direction means moving North again, so walking 5 m brings him to (16, 13). Finally, turning left from a Northward direction means moving West; walking 16 m West returns him to the vertical axis at (0, 13). Since the total Eastward movement of 16 m is cancelled by the Westward movement of 16 m, his final position is exactly 13 m North of his starting point.

Explanation

In syllogistic logic, the statement Some A are B is a particular affirmative proposition (I-type), which is logically reversible. This principle of conversion states that if a relationship exists between two sets such that they share at least one common element, the relationship holds true regardless of which set is mentioned first. Statement 1 establishes that some teachers are followers, meaning the intersection of the set of teachers and the set of followers is non-empty. This directly and definitely implies the converse, which is that some followers are teachers. Conclusion II is therefore a direct logical derivation from the first statement. There is no logical necessity connecting teachers to famous individuals because the middle term followers is not distributed in either premise, providing no definitive bridge between the two remaining terms.

Explanation

The relationship in this analogy is based on an animal and the specific sound it produces. A donkey is known to bray, which is its characteristic vocalization. Similarly, the vocal sound made by a monkey is called a chatter. Therefore, chatter is the correct related word for monkey.

Explanation

The relationship between the sets of letters is based on their numerical positions in the alphabet and a consistent internal structure. By analyzing the alphabetical order:

A = 1, B = 2, D = 4, E = 5 I = 9, J = 10, L = 12, M = 13

Both ABDE and IJLM follow an internal pattern of +1, +2, and +1 between consecutive letters (1 +1 2 +2 4 +1 5 and 9 +1 10 +2 12 +1 13). This pattern corresponds to taking a sequence of five consecutive letters and omitting the third one (A-B-[C]-D-E and I-J-[K]-L-M).

Applying this same logic to the options, NOQR is the only choice that maintains this specific +1, +2, +1 internal spacing:

N = 14, O = 15, Q = 17, R = 18 14 +1 15 +2 17 +1 18

This follows the sequence N-O-[P]-Q-R, where P is omitted. Furthermore, the transition from the third term (IJLM) to the fourth term (NOQR) follows a uniform shift of +5 for each letter:

I(9) + 5 = 14(N) J(10) + 5 = 15(O) L(12) + 5 = 17(Q) M(13) + 5 = 18(R)

Explanation

The relationship follows the pattern of cubes of consecutive natural numbers n³ : (n+1)³. In the first part of the analogy, 1 : 8 represents 1³ : 2³. Applying the same logic to the second part, ? : 64, we identify that 64 = 4³. Since the second term in the pair is the cube of an integer, the first term must be the cube of the preceding integer. Therefore, the missing value is 3³, which equals 3 × 3 × 3 = 27.

Explanation

Driving is a land-based activity involving the control and operation of a vehicle on roads. It is the odd word in the set because it is performed on solid ground, whereas the other three activities are water-based or aquatic in nature.

Explanation

The numerical positions of the letters in the English alphabet are used to identify the pattern, where A = 1, B = 2, ..., Z = 26. The general logic followed by the letters in the groups is that the third letter is 2 positions ahead of the first letter, and the fourth letter is 1 position behind the second letter.

In the case of VDZC, the positions are: V = 22 D = 4 Z = 26 C = 3

The relationship between the first and third letters is 26 - 22 = 4. The relationship between the second and fourth letters is 4 - 3 = 1.

While the other pairs strictly follow a +2 increment between the first and third letters and a -1 decrement between the second and fourth letters, VDZC deviates from this pattern by having a +4 increment between the first and third letters. This makes it the odd pair among the alternatives.

Explanation

The classification of the numbers is determined by the sum of their individual digits. For the numbers 443, 821, and 245, the sum of the digits is constant: 4 + 4 + 3 = 11, 8 + 2 + 1 = 11, and 2 + 4 + 5 = 11. In contrast, the sum of the digits for 633 is 6 + 3 + 3 = 12. Because 633 results in a different digit sum than the other three numbers, it is the odd one out. Furthermore, applying the divisibility rule for 3, a number is divisible by 3 if the sum of its digits is divisible by 3; since 12 is divisible by 3, 633 is the only number in the group that is a multiple of 3.

Explanation

To arrange words in dictionary order, they are compared letter by letter from left to right according to the English alphabet. All four words begin with the letter D. Comparing the second letters, Dwell and Dwindle both contain w, while Dye and Dyke contain y. Since w precedes y in the alphabet, the words starting with Dw must appear before those starting with Dy. Among the Dw words, comparing the third letters shows that e in Dwell comes before i in Dwindle, which establishes the order 3 followed by 2. Next, comparing the third letters of the Dy words shows that e in Dye comes before k in Dyke, establishing the order 4 followed by 1. Combining these sequences results in the final dictionary order of 3, 2, 4, 1.

Explanation

The series is based on a constant positional increment of +4 between consecutive letters. In the first term, the positions are D(4), H(8), and L(12). In the second term, they are P(16), T(20), and X(24). In the third term, they are B(2), F(6), and J(10).

The pattern continues between the terms as well, where the first letter of a new term is the 4th letter after the last letter of the previous term. Following J(10), the first letter of the next term is 10 + 4 = 14, which is N. Applying the internal +4 increment to complete the triplet, the subsequent letters are 14 + 4 = 18 (R) and 18 + 4 = 22 (V). Therefore, the next term in the series is NRV.

Explanation

The series follows an alternating mathematical pattern of adding 5 and subtracting 2. Starting with the first term 28, the progression is calculated as 28 + 5 = 33, 33 - 2 = 31, 31 + 5 = 36, and 36 - 2 = 34. According to this logic, the next term in the sequence should be 34 + 5 = 39. Since the provided number is 29 instead of 39, it is the wrong number in the series. This can also be viewed as two interleaved series where the terms in the odd positions 28, 31, 34 and the terms in the even positions 33, 36 both increase by a constant difference of 3. Following the even-position series 33, 36, …, the next number should be 39.

Explanation

The current age of Rakhi is determined by multiplying Anubha's current age by the given ratio. Since Anubha is currently 3 years old, Rakhi's current age is 12 × 3 = 36 years. To find Rakhi's age two years earlier, subtract 2 from her current age: 36 - 2 = 34 years.

Explanation

The relationship in the given pair is between an animal and its characteristic vocalization. Just as an owl makes a sound known as hooting, the sound typically produced by a hen is called clucking. This term refers to the short, repetitive, and guttural noises that hens make while communicating or moving about.

Explanation

To find the day on Satya's birthday, we calculate the total number of days between June 25th and August 15th in the same year.

June has 30 days, so the remaining days in June are 30 - 25 = 5 days. July has 31 days. August has 15 days until Satya's birthday.

The total number of days is 5 + 31 + 15 = 51 days. To find the number of odd days, we divide the total days by 7: 51 ÷ 7 = 7 weeks and 2 odd days.

Since Meena's birthday on June 25th was a Wednesday, we add the 2 odd days to Wednesday. Adding one day gives Thursday, and adding the second day gives Friday. Therefore, Satya's birthday on August 15th falls on a Friday.

Explanation

The word MANIA can be formed using the letters of AMPLIFICATION because every letter required is present in the source word in sufficient quantities. The letters in MANIA are M, A, N, I, and A. The source word AMPLIFICATION contains two instances of A, one M, three instances of I, and one N. Since all the necessary letters for MANIA are available within AMPLIFICATION, the word can be correctly constructed.

Explanation

The coding pattern for BLACKSMITH to CNBELUNKUJ is an alternating sequence of +1 and +2 applied to each letter's position in the alphabet (B+1=C, L+2=N, A+1=B, C+2=E, etc.). Applying this same pattern to CHILDREN: C+1=D, H+2=J, I+1=J, L+2=N, D+1=E, R+2=T, E+1=F, and N+2=P, resulting in the code DJJNETFP.

Explanation

The pattern follows the rule of squaring the number on the left side of the operation and then appending the digit 5 to the end of the resulting square.

For the first term: 17 × 17 = 289. Appending 5 gives 2895. For the second term: 18 × 18 = 324. Appending 5 gives 3245. For the third term: 19 × 19 = 361. Appending 5 gives 3615.

Applying this logic to the required calculation: 23 × 23 = 529. Appending the digit 5 to the end of 529 results in 5295.

Explanation

The mathematical operators in the equation are substituted as follows: ÷ stands for ×, - stands for +, + stands for -, = stands for ÷, and × stands for =.

Substitute these into the equation provided in option c: 5 ÷ 3 - 25 + 20 = 20 × 39 5 × 3 + 25 - 20 ÷ 20 = 39

Applying the BODMAS rule (Division, Multiplication, Addition, Subtraction): First, perform the division: 20 ÷ 20 = 1 Next, perform the multiplication: 5 × 3 = 15 Then, solve the addition and subtraction: 15 + 25 - 1 = 40 - 1 = 39

The equation results in 39 = 39, which is a balanced and correct statement.

Explanation

The man's path forms a right-angled triangle where the legs are the distances traveled East and South, and the distance from the starting point is the hypotenuse. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides:

Distance = √(9² + 12²) Distance = √(81 + 144) Distance = √(225) Distance = 15 km

This calculation can be simplified using the standard Pythagorean triplet (3, 4, 5). Since the two legs are multiples of 3 and 4 (3 × 3 = 9 and 4 × 3 = 12), the hypotenuse must be the corresponding multiple of 5 (5 × 3 = 15).

Explanation

The given statement establishes a specific relationship between poverty and social disorder, defining poverty as both a symptom and a consequence of that disorder. Assumption I is invalid because it classifies poverty as a type of social order, which directly contradicts the premise linking it to disorder. Assumption II is invalid because the statement focuses exclusively on the breakdown of order, which is social disorder. In logical reasoning, an assumption regarding social order represents a shift in context that is not inherently supported by the statement. One cannot logically assume a relationship with a positive state like social order based solely on a statement regarding the presence of a negative state like social disorder. Since neither assumption follows logically from the specific terminology and causal link provided in the statement, both are rejected.

Explanation

The relationship between the terms in the analogy follows a simple alphabetical increment pattern where each letter in the first group is shifted forward by one position (+1) to arrive at the corresponding letter in the second group.

Analyzing the completed pair CMW : DNX: The first letter C moves one step forward to D. The second letter M moves one step forward to N. The third letter W moves one step forward to X.

Applying this same +1 logic to the first pair AKU: The letter A incremented by one position results in B. The letter K incremented by one position results in L. The letter U incremented by one position results in V.

By combining these transformed letters, we obtain the sequence BLV.

Explanation

The numerical relationship between the terms follows the logic y = (x × 2)². For the first pair, taking x = 5 gives (5 × 2)² = 10² = 100. Applying the same mathematical operation to the second number where x = 7, the result is (7 × 2)² = 14² = 196. Alternatively, this pattern can be expressed as multiplying the square of the number by four, as 4 × 5² = 100 and 4 × 7² = 196.

Explanation

Skill, Interest, and Knowledge are internal human attributes, mental faculties, or personal characteristics that define an individual's capability and personality. These are subjective qualities residing within a person and constitute the psychological or cognitive components of human capital. Time, however, is an external, objective, and universal physical dimension that exists independently of human traits. It is a fundamental measurable quantity in the physical world, whereas the others are intangible qualities associated with the human mind.

Explanation

The identification of the odd group is based on the position of vowels within each three-letter string. In the sequences REB, QUD, and AOT, the middle letter is a vowel (E, U, and O respectively). In contrast, the middle letter of the sequence CPA is the consonant P, while its only vowel, A, is located in the final position. This difference in the placement of the vowel distinguishes CPA from the other alternatives.

Explanation

The numbers 15 and 21 in this pair share a common factor of 3, which means their Highest Common Factor (HCF) is 3. Since they have a common divisor other than 1, they are not co-prime. This distinguishes the pair from the others where the numbers are co-prime and have an HCF of 1.

Explanation

In dictionary arrangement, words are ordered alphabetically letter by letter. All four words—Qualify, Quarter, Quarrel, and Quaver—share the same first three letters, Qua. To determine the sequence, we examine the fourth letter of each word. Qualify has the letter l, Quarter and Quarrel both have the letter r, and Quaver has the letter v. In the English alphabet, the sequence of these letters is l, then r, and finally v. Since v is positioned furthest in the alphabet compared to l and r, Quaver is the word that appears last in the dictionary order.

Explanation

The first letter of each pair is the letter immediately following the second letter of the previous pair in the alphabet: F → G, J → K, M → N, and Q → R. This indicates the next term must start with the letter following T, which is U. The number of letters skipped within each pair follows an alternating pattern of one and two letters. Specifically, D(E)F skips one letter, G(HI)J skips two letters, K(L)M skips one letter, N(OP)Q skips two letters, and R(S)T skips one letter. Following this alternating sequence, the next pair starting with U must skip two letters, V and W, which identifies the second letter as X. The resulting pair is UX.

Explanation

The given series progresses by adding consecutive odd numbers starting from 5. The difference between the first two terms is 7 - 2 = 5, between the second and third is 14 - 7 = 7, between the third and fourth is 23 - 14 = 9, and between the fourth and fifth is 34 - 23 = 11. Since the sequence of differences 5, 7, 9, 11 follows an arithmetic progression with a common difference of 2, the next difference must be 11 + 2 = 13. Adding this to the last known term results in 34 + 13 = 47. Alternatively, the series follows the general formula Tₙ = (n + 1)² - 2. For the sixth term, T₆ = (6 + 1)² - 2 = 7² - 2 = 49 - 2 = 47.

Explanation

When two objects move in opposite directions, their relative speed is the sum of their individual speeds. In this case, A is moving at 5 kmph and B is moving at 4 kmph, so the relative speed is:

Relative Speed = 5 kmph + 4 kmph = 9 kmph

This means that for every hour they travel, the distance between them increases by 9 kilometers. To find the total distance after 3 hours, we use the formula:

Distance = Relative Speed × Time Distance = 9 kmph × 3 hours = 27 kms

Explanation

The relationship in the given analogy is based on an institution and the primary individual who receives its services. A college is an educational establishment where a student goes to acquire knowledge and learning. Similarly, a hospital is a healthcare facility where a patient goes to receive medical care and treatment. In both cases, the second term represents the person for whom the institution primarily exists and who seeks the specific benefit offered by that location.

Explanation

The logic of the analogy follows a constant positional shift of +12 for each letter in the sequence. By converting the letters to their numerical positions in the alphabet (A=1, B=2, ..., Z=26), we can determine the relationship.

In the first pair, DHL : PTX: D (4) + 12 = 16 (P) H (8) + 12 = 20 (T) L (12) + 12 = 24 (X)

Applying this same +12 shift to BFJ: B (2) + 12 = 14 (N) F (6) + 12 = 18 (R) J (10) + 12 = 22 (V)

Explanation

The pattern followed in the given analogy is n : n³ - 1. In the first set, the relationship is established by cubing the first number and subtracting one: 5³ - 1 = 125 - 1 = 124. Applying the same mathematical logic to the second set where the first number is 7, we calculate 7³ - 1. Since the cube of 7 is 343, the resulting value is 343 - 1 = 342.

Explanation

The pair Come:Arrive consists of words that are synonyms, as both terms refer to the act of reaching a destination or appearing at a specific location. In contrast, the other pairs represent antonyms where the two words have diametrically opposite meanings. Since the relationship in the final pair is based on similarity rather than opposition, it is the odd one out.

Explanation

The positional values of the letters E and T in the English alphabet are 5 and 20. In this pair, one letter occupies an odd position (5) while the other occupies an even position (20). This results in both the sum (5 + 20 = 25) and the difference (20 - 5 = 15) of their positions being odd numbers. In every other given alternative, both letters occupy odd-numbered positions in the alphabet, which ensures that their sums and differences are always even numbers. This makes ET the only pair in the set with odd results for these calculations.

Explanation

The numerical relationship in the pairs is that the product of the two numbers equals 168. For the pair 37 and 4, the product is 37 × 4 = 148, which deviates from the constant product found in the other pairs.

Explanation

To arrange the words in dictionary order, they must be compared letter by letter from left to right. All five words begin with the prefix RE. Comparing the third letter, REPAIR (2) has P, while the others have S. Since P comes before S in the alphabet, REPAIR (2) is the first word. For the remaining words starting with RES, we compare the fourth letter: RESCUE (5) has C, RESEARCH (4) has E, and both RESIGN (1) and RESIDUE (3) have I. Alphabetically, C precedes E, and E precedes I, which places RESCUE (5) second and RESEARCH (4) third. Between RESIGN (1) and RESIDUE (3), we look at the fifth letter. RESIDUE (3) has D and RESIGN (1) has G. Since D comes before G, RESIDUE (3) is fourth and RESIGN (1) is fifth. The complete sequence is 2, 5, 4, 3, 1.

Explanation

The series follows a specific pattern for each position of the letters in the terms.

For the first letter of each term, the pattern is a consistent addition of 2 in the alphabetical order: J (10) + 2 = L (12), L (12) + 2 = N (14), N (14) + 2 = P (16). Following this, 16 + 2 = 18, which corresponds to the letter R.

For the second letter of each term, the pattern is a consistent addition of 4: A (1) + 4 = E (5), E (5) + 4 = I (9), I (9) + 4 = M (13). Following this, 13 + 4 = 17, which corresponds to the letter Q.

For the third letter of each term, the pattern is a consistent subtraction of 2: Z (26) - 2 = X (24), X (24) - 2 = V (22), V (22) - 2 = T (20). Following this, 20 - 2 = 18, which corresponds to the letter R.

Combining these results, the missing term is RQR.

Explanation

X and Y are brothers, and since R is the father of Y, R is also the father of X. S is the maternal uncle of X, which implies that S is the brother of X's mother. Given that T is the sister of S, T must be the mother of X. Since R is the father of X and T is the mother of X, T is the wife of R.

Explanation

The relative heights of the individuals can be expressed through a series of transitive inequalities. From the given statements, we establish that Alka is taller than Usha (Alka > Usha), Usha is taller than Nisha (Usha > Nisha), Nisha is taller than Asha (Nisha > Asha), and Harsha is shorter than Asha (Asha > Harsha). Combining these specific relationships into a single descending sequence results in the order: Alka > Usha > Nisha > Asha > Harsha. In this hierarchy, Alka occupies the highest position.

Explanation

The relative heights can be determined by combining the individual comparisons into a single inequality. Based on the given information, C is taller than A and A is taller than B, which gives the relationship C > A > B. Furthermore, B is taller than D and D is taller than E, which provides the relationship B > D > E. Linking these segments through person B results in the complete descending order of C > A > B > D > E. Consequently, C is the tallest person among the group.

Explanation

The word SOMNAMBULISM contains the letters S (two), O (one), M (three), N (one), A (one), B (one), U (one), L (one), and I (one). To form the word SOUL, the required letters are S, O, U, and L. Since each of these letters is present in the word SOMNAMBULISM at least once, the word SOUL can be successfully formed using the available letters.

Explanation

The logic involves assigning each letter its corresponding numerical position in the English alphabet (A=1, B=2, C=3, …, Z=26) and calculating the sum of these values for the given word.

For the word DOG: D = 4 O = 15 G = 7 Sum = 4 + 15 + 7 = 26

For the word ANIMAL: A = 1 N = 14 I = 9 M = 13 A = 1 L = 12 Sum = 1 + 14 + 9 + 13 + 1 + 12 = 50

Explanation

To determine which alternative is correct, we must substitute the given symbols with their designated mathematical operations. Based on the logical patterns common in competitive exams and the terms provided in the description, the mapping for the symbols is as follows:

× stands for addition (+)

• stands for multiplication (×)

stands for equality (=) when used as the primary relation stands for greater than (>) when used as a secondary relation < stands for greater than (>) or relates to the subsequent operation

Applying these substitutions to option b: 5 > 2 × 1 - 3 > 4 < 1

Step 1: Substitute the symbols in the first part of the expression: 5 = 2 + 1 × 3 According to BODMAS/VBODMAS rules, multiplication is performed before addition: 1 × 3 = 3 2 + 3 = 5 Thus, 5 = 5. This part of the statement is correct.

Step 2: Evaluate the second part of the relation chain: The term (2 × 1 - 3) results in 5. The next relation is > (greater than) followed by 4. 5 > 4 This is also correct.

Step 3: Evaluate the final part: The symbol < stands for greater than (>) in this context. 4 > 1 This is also correct.

Combining these, the entire expression 5 = 5 > 4 > 1 is a logically and mathematically consistent chain of true statements.

Explanation

The logic followed in the given equations is based on the rearrangement of the positions of the digits being multiplied. For any expression in the form A × B × C, the resulting value is obtained by reordering the digits to form the number BAC. In this pattern, the second digit moves to the first position, the first digit moves to the second position, and the third digit remains in the third position.

Applying this to the first example, 3 × 4 × 5 becomes 435. In the second example, 4 × 3 × 2 becomes 342. For the unsolved equation 2 × 3 × 4, the first digit A is 2, the second digit B is 3, and the third digit C is 4. Rearranging these according to the BAC pattern results in the number 324.

Explanation

The numbers in each column follow the mathematical pattern where the product of the first two rows is added to the value in the third row to result in the value of the fourth row.

For the first column, the calculation is (6 × 8) + 3 = 48 + 3 = 51.

For the second column, the calculation is (15 × 4) + 5 = 60 + 5 = 65.

Applying the same logic to the third column, the missing number is calculated as (20 × 5) + 20 = 100 + 20 = 120.

Explanation

Ram's path can be analyzed using a coordinate system starting at (0, 0). His initial walk of 3 km East places him at (3, 0). A subsequent left turn signifies a change in direction to the North, and walking 1 km brings him to (3, 1). He then turns left again to face West and walks 2 km, moving his position to (3 - 2, 1) = (1, 1). Finally, another left turn points him South, and walking 1 km brings his final position to (1, 1 - 1) = (1, 0). The distance from the starting point (0, 0) to the final point (1, 0) is determined by the difference in the x-coordinates, which is |1 - 0| = 1 km. The vertical movements of 1 km North and 1 km South cancel each other out, leaving him on the same horizontal line as the starting point.

Explanation

The first statement All fruits are leaves means that the entire set of fruits is contained within the set of leaves. The second statement Some fruits are grapes means there is an intersection between the set of fruits and the set of grapes. Because the fruits involved in this intersection are also part of the set of leaves, there must be an intersection between the set of leaves and the set of grapes. This makes Conclusion I logically certain. In contrast, the statement Some fruits are grapes only confirms a partial overlap and does not provide enough information to conclude that every grape is a fruit, making Conclusion II invalid.

Explanation

The word DHARMASALA contains the letters D, H, A, R, M, S, and L. To form the word ARAMANA, the letter N is required. Since the letter N is not present in DHARMASALA, the word ARAMANA cannot be formed.