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

Explanation

From Statement I, all papers are files. This means the set of papers is entirely contained within the set of files.

From Statement II, some files are pens. This means there is an intersection between the set of files and the set of pens.

This intersection of files and pens may or may not overlap with the set of papers. Therefore, two possibilities arise:

Possibility 1: The pens that are files do not overlap with the papers. In this case, no paper is a pen, making Conclusion I true but Conclusion II false.

Possibility 2: The pens that are files overlap with the papers. In this case, some papers are pens, making Conclusion II true but Conclusion I false.

Because neither conclusion is definitely true in all possible scenarios, neither Conclusion I nor Conclusion II follows individually.

Explanation

The given sequence progress is based on adding a decreasing constant difference to each subsequent term.

The differences between consecutive terms are as follows: 80 - 60 = 20 95 - 80 = 15 105 - 95 = 10

The difference decreases by 5 at each step (20, 15, 10). Following this pattern, the next difference must be: 10 - 5 = 5

Adding this difference to the last term gives the next term of the series: 105 + 5 = 110

Explanation

The relationships between the birth rates of the five countries can be represented using inequalities to determine their relative order.

The birth rate in Nepal is the lowest.

The birth rate in Bangladesh is higher than that in Nepal and lower than that in Sri Lanka, which gives the order: Nepal < Bangladesh < Sri Lanka.

The birth rate in Pakistan is higher than that in Sri Lanka and lower than that in India, which gives the order: Sri Lanka < Pakistan < India.

Combining these relationships yields the complete order of birth rates from lowest to highest: Nepal < Bangladesh < Sri Lanka < Pakistan < India.

Explanation

To arrange the words in alphabetical dictionary order, we compare them letter by letter from left to right.

First, comparing the first letter of all words, they all start with the letter R.

Next, comparing the second letters, a in Rainbow comes before e in Regular, Reinforcement, and Remedy. Thus, Rainbow (iii) comes first.

For the remaining three words beginning with Re, we compare their third letters. Here, g in Regular comes before i in Reinforcement, which in turn comes before m in Remedy.

This establishes the alphabetical sequence of the remaining words as Regular (i), Reinforcement (ii), and Remedy (iv).

Combining these positions gives the final dictionary sequence as iii, i, ii, iv.

Explanation

The given words are coded using a direct letter-to-digit substitution system where each letter corresponds to a unique digit.

By comparing the letters in the words COPIOUS and GENEROUS with their respective code numbers 2345389 and 16760389, the code for each letter is determined directly: P = 4 I = 5 G = 1 E = 6 O = 3 N = 7

Substituting these values in order for the word PIGEON yields 451637.

Explanation

The relation between the numbers in each column follows the pattern where the square of the number in the first row multiplied by the number in the second row equals the number in the third row.

For the first column: 14² × 4 = 196 × 4 = 784

For the second column: 16² × 5 = 256 × 5 = 1280

Applying the same mathematical relation to the third column: 12² × 6 = 144 × 6 = 864

Explanation

By replacing the symbols with their respective mathematical operators as defined: | is replaced by ÷ is replaced by - @ is replaced by + % is replaced by ×

The expression 132 | 3 # 10 @ 20 % 2 becomes: 132 ÷ 3 - 10 + 20 × 2

Applying the BODMAS rule: First, perform the division: 132 ÷ 3 = 44

Next, perform the multiplication: 20 × 2 = 40

Now substitute these values back into the expression: 44 - 10 + 40

Finally, perform the addition and subtraction: 34 + 40 = 74

Explanation

The series follows a repeating pattern of the four-letter group TERS.

By placing the letters S, R, T, and S sequentially into the gaps of the series TER_TE_S_ER_, we get:

TER S TE R S T ER S

This divides perfectly into three repeating cycles of TERS:

TERS / TERS / TERS

Explanation

Let the school be at the starting point (0, 0) on a coordinate plane, where East represents the positive x-axis, West the negative x-axis, North the positive y-axis, and South the negative y-axis.

First, the boy travels 8 km East, reaching the point (8, 0).

Next, he turns left (North) and travels 6 km, reaching the point (8, 6).

Then, he turns East and travels 5 km, reaching the point (8 + 5, 6) = (13, 6).

Finally, he turns right (South) and travels 10 km, ending at the point (13, 6 - 10) = (13, -4).

Since the final coordinates (13, -4) have a positive x-value (East) and a negative y-value (South), his position relative to the school is in the South-East direction.

Explanation

Matrix representation defines a letter by its row number first, followed by its column number.

To represent the word GOAL, each letter is matched with its coordinates from the matrices:

For G, row 5 and column 6 of Matrix-II gives the number 56.

For O, row 8 and column 8 of Matrix-II gives the number 88.

For A, row 1 and column 4 of Matrix-I gives the number 14.

For L, row 4 and column 1 of Matrix-I gives the number 41.

Combining these coordinates, the set of numbers representing the word GOAL is 56, 88, 14, 41.

Explanation

Ankit's mother's sister is his maternal aunt. The son of his maternal aunt is his cousin. The sister of his cousin is also his cousin.

Explanation

The relationship between the first two words is synonymy. Exactly and precisely are synonyms, both expressing the idea of complete accuracy or being in an exact manner.

To maintain the same analogy, we need to find a synonym for evidently. Evidently is used to describe something that is plainly seen, obvious, or clear. Distinctly is also a synonym that means in a clear, unmistakable, and plain manner, making it the correct match.

Explanation

Each letter in the first group is paired with its corresponding opposite letter in the English alphabet, where the sum of the alphabetical positions of both letters is equal to 27.

Applying this logic to EGIK: E (5) + V (22) = 27 G (7) + T (20) = 27 I (9) + R (18) = 27 K (11) + P (16) = 27

Similarly, applying the same relation to DFHJ: D (4) corresponds to W (23) because 4 + 23 = 27 F (6) corresponds to U (21) because 6 + 21 = 27 H (8) corresponds to S (19) because 8 + 19 = 27 J (10) corresponds to Q (17) because 10 + 17 = 27

Combining these corresponding letters yields WUSQ.

Explanation

The logic followed in this analogy is to shift each letter of the word forward by one position in the alphabetical sequence.

For the first term, ERASE is coded as FSBTF: E shifts to F, R shifts to S, A shifts to B, S shifts to T, and E shifts to F.

By applying the same pattern to MAGIC: M shifts to N, A shifts to B, G shifts to H, I shifts to J, and C shifts to D.

This sequence of shifted letters yields NBHJD.

Explanation

The relationship between the terms in each pair follows a pattern where the second term is three times the successor of the first term: x : 3 × (x + 1)

For the first pair, when x = 8: 8 : 3 × (8 + 1) = 8 : 3 × 9 = 8 : 27

Applying the same pattern to the second pair, when x = 9: 9 : 3 × (9 + 1) = 9 : 3 × 10 = 9 : 30

This calculation gives 30.

Explanation

A paperweight is a small, heavy object placed on top of papers to keep them from blowing away or shifting, which categorizes it as an item of office stationery rather than a piece of furniture.

Explanation

In the general pattern, the positional value of the third letter is the arithmetic mean of the positional values of the first and second letters. For SDA, the alphabetical positions of the letters are S = 19, D = 4, and A = 1. The average of the first two letters is (19 + 4)/2 = 11.5, which does not equal the positional value of A. Thus, it does not follow the common rule and is the odd group.

Explanation

The number 200 cannot be expressed in the form n² + n (or as the product of two consecutive integers, n × (n + 1)) for any integer n.

Explanation

In the number 674, the sum of the first and third digits is 10 (6 + 4 = 10), which does not equal the middle digit of 7. This also makes the number indivisible by 11. In all the other numbers, the sum of the first and third digits equals the middle digit, and they are completely divisible by 11.

Explanation

The series represents the dynasties of the Delhi Sultanate in chronological order. The Delhi Sultanate was ruled by five successive dynasties from 1206 to 1526. Following the Khilji dynasty, which ruled from 1290 to 1320, the Tughlaq dynasty established its rule and governed from 1320 to 1414. The Tughlaq dynasty was then succeeded by the Sayyid dynasty and finally the Lodi dynasty, completing the chronological sequence of the Sultanate.

Explanation

The letters in each position of the terms follow distinct alphabetical patterns.

The first letters of each term follow a decreasing order: Z → Y → X → W

The second letters of each term follow an increasing order: B → C → D → E

The third letters of each term follow an increasing order: J → K → L → M

Combining these letters yields WEM.

Explanation

The given series consists of pairs of letters where each letter follows a distinct positional pattern in the English alphabet.

For the first letter of each term: A (1) + 3 = D (4) D (4) + 3 = G (7) G (7) + 3 = J (10) J (10) + 3 = M (13)

For the second letter of each term: T (20) - 2 = R (18) R (18) - 2 = P (16) P (16) - 2 = N (14) N (14) - 2 = L (12)

Combining these two patterns, the missing term is ML.

Explanation

The given series follows the pattern where each subsequent term is the product of the two preceding terms.

The third term is 3 × 4 = 12.

The fourth term is 4 × 12 = 48.

Following this pattern, the missing term is 12 × 48 = 576.

Explanation

The decrease in demand for wooden furniture and its subsequent replacement by fiber or plastic furniture indicates that the alternative materials offer practical advantages over wood. This replacement implies that wooden furniture has drawbacks, such as high maintenance requirements and handling difficulties, which are addressed by plastic and fiber. At the same time, it implies that plastic furniture is more convenient, being free from common wooden pest issues like termites and being easier to handle. Therefore, both conclusions logically follow as explanations for the transition described in the statements.

Explanation

Let the present age of Priya be P, Babli be B, and Amit be A.

The present age of Priya is given as: P = 5 years

Babli's age is three times the age of Priya: B = 3 × P = 3 × 5 = 15 years

Amit's age is four times the age of Babli: A = 4 × B = 4 × 15 = 60 years

Explanation

To arrange the given words in alphabetical order as they appear in a dictionary, we compare them letter by letter from left to right.

All four words begin with the letter H. Comparing the second letter, Harangue, Harmony, and Harness have a, while Honey has o. Since a comes before o, Honey is placed last in the sequence.

Next, comparing the fourth letter of the three remaining words starting with H-a-r: Harangue has a as its fourth letter. Harmony has m as its fourth letter. Harness has n as its fourth letter.

Since a comes before m, and m comes before n, the alphabetical order of these words is Harangue, followed by Harmony, and then Harness.

Combining these steps gives the correct dictionary sequence: Harangue (iv), Harmony (i), Harness (ii), and Honey (iii).

Explanation

The code for each letter is obtained by direct substitution from the given words.

From the word CUTE coded as 9251, we get C = 9, U = 2, T = 5, and E = 1. From the word REST coded as 4135, we get R = 4, E = 1, S = 3, and T = 5.

Using these letter-to-digit mappings to code the word RESCUE: R corresponds to 4 E corresponds to 1 S corresponds to 3 C corresponds to 9 U corresponds to 2 E corresponds to 1

Combining these digits in the given sequence yields 413921.

Explanation

By converting the alphabetical letters to their numerical positions in the English alphabet, we get the following values: Row 1: B = 2, A = 1, B = 2 Row 2: C = 3, C = 3, D = 4 Row 3: Y = 25, P = 16, ?

The pattern followed in each column is that the square of the sum of the numbers in the first and second rows yields the number in the third row.

For the first column: (2 + 3)² = 5² = 25, which corresponds to Y.

For the second column: (1 + 3)² = 4² = 16, which corresponds to P.

For the third column: (2 + 4)² = 6² = 36. Since 36 exceeds the 26 letters of the alphabet, we subtract 26 to find the cyclic equivalent position: 36 - 26 = 10. The 10th letter of the alphabet is J.

Explanation

Replacing the alphabetical codes with their designated mathematical operators: B represents division (÷) A represents subtraction (-) C represents addition (+) D represents multiplication (×)

Substituting these operators into the given expression yields: 294 ÷ 6 - 30 + 31 × 4

Applying the BODMAS rule, the operations are performed in order:

First, perform the division operation: 294 ÷ 6 = 49

Next, perform the multiplication operation: 31 × 4 = 124

Substitute these values back into the expression: 49 - 30 + 124

Finally, perform the addition and subtraction: 19 + 124 = 143

Explanation

Placing the letters of option D sequentially into the five gaps of the series W_YZ_X_ZW_Y_ yields the sequence W X Y Z W X Y Z W X Y Z. This forms a continuous, repeating four-letter pattern of WXYZ.

Explanation

Let the starting point of Ankita be point A.

She travels 35 km towards the west to reach point B.

From point B, she takes a right turn (which is towards the north) and travels 50 km to reach point C.

From point C, she takes another right turn (which is towards the east) and travels 35 km to reach point D.

Since the movement forms a rectangle ABCD where AB = CD = 35 km and BC = AD = 50 km, her final position D lies directly north of her starting position A.

Therefore, the distance between her starting position and her current position, represented by AD, is equal to BC, which is 50 km.

Explanation

The word COME is represented by the set of numbers 11, 57, 56, 99 according to the row-first and column-second rule.

For the letter C, the code is 11, where row 1 and column 1 of Matrix-I intersect at C.

For the letter O, the code is 57, where row 5 and column 7 of Matrix-II intersect at O.

For the letter M, the code is 56, where row 5 and column 6 of Matrix-II intersect at M.

For the letter E, the code is 99, where row 9 and column 9 of Matrix-II intersect at E.

Explanation

To find the relation, break down the statement from the end:

My grandfather's son refers to either the man's father or the man's uncle.

Taking my grandfather's son as the man's father, the brother of my grandfather's son represents the man's uncle.

The son of the man's uncle is the man's cousin.

Explanation

The relationship between the first two words is synonymous. Gloomy and dull are synonyms as they both describe things that are dark, depressing, or lacking in spirit. Similarly, merciless and harsh are synonyms, as both represent a lack of mercy, compassion, or leniency, describing something or someone severe and cruel.

Explanation

By considering the alphabetical positions where A = 1, B = 2, and so on up to Z = 26: H is the 8th letter and I is the 9th letter. M is the 13th letter and D is the 4th letter.

The relationship between the first and second letter pairs is: First letter: 8 + 5 = 13 (M) Second letter: 9 - 5 = 4 (D)

Applying this same logic to the pair UV, where U is the 21st letter and V is the 22nd letter: First letter: 21 + 5 = 26 (Z) Second letter: 22 - 5 = 17 (Q)

This results in the letter pair ZQ.

Explanation

The relationship is based on doubling the numerical position of each letter in the English alphabet, where the sequence wraps around after 26.

For JK: J is the 10th letter, and 10 × 2 = 20, which is T. K is the 11th letter, and 11 × 2 = 22, which is V.

Applying the same rule to OP: O is the 15th letter, and 15 × 2 = 30. Subtracting 26 for the wrap-around gives 4, which is D. P is the 16th letter, and 16 × 2 = 32. Subtracting 26 for the wrap-around gives 6, which is F.

Explanation

The relationship between the first pair of numbers is established by multiplying the individual digits of the first number to obtain the second number.

In the first pair, 76 : 42: 7 × 6 = 42

Applying the same logic to the second pair, 46 : ?: 4 × 6 = 24

Explanation

Tuberculosis is an infectious disease caused by the bacterium Mycobacterium tuberculosis that spreads from person to person through microscopic droplets released into the air. It is an airborne bacterial infection, whereas the other options are vector-borne diseases transmitted through the bites of infected mosquitoes.

Explanation

The letters in NOP are consecutive alphabetical letters with a constant difference of +1 between them. In all other options, the letters follow a pattern of +2 followed by -1, where the second letter is two positions ahead of the first and the third letter is one position behind the second.

Explanation

In the number 6812, the sum of the first two digits (6 + 8 = 14) is not equal to the number formed by the last two digits (12), whereas in all other numbers, the sum of the first two digits equals the value represented by the last two digits.

Explanation

The number 443 is not a perfect square, whereas the other numbers are perfect squares of prime numbers: 961 is the square of 31 (31²), 361 is the square of 19 (19²), and 289 is the square of 17 (17²).

Explanation

The series represents the layers of the Sun moving outward from its center to its outer atmosphere. The Core is the innermost region of the Sun where energy is generated through nuclear fusion. Beyond the radiation and convection zones lie the layers of the solar atmosphere, starting with the Photosphere, which is the visible surface. Above the photosphere is the Chromosphere, and the outermost layer of the Sun's atmosphere is the Corona, which extends millions of kilometers into space. This makes Corona the next logical term in the sequence.

Explanation

Each letter in the series increases by six positions from the corresponding letter in the previous group: B, D, E become H, J, K; then N, P, Q; then continuing the pattern gives T, V, W. So the missing term is TVW.

Explanation

The series is formed by taking pairs of consecutive letters in alphabetical order and alternating their direction between descending and ascending order.

The first pair consists of Q and R (positions 17 and 18) written in descending order as RQ. The second pair consists of S and T (positions 19 and 20) written in ascending order as ST. The third pair consists of U and V (positions 21 and 22) written in descending order as VU. The fourth pair consists of W and X (positions 23 and 24) written in ascending order as WX.

Following this alternating pattern, the fifth term must consist of the next consecutive letters Y and Z (positions 25 and 26) written in descending order, which is ZY.

Explanation

The given sequence is an alternating series made up of two distinct patterns.

For the terms at the odd positions (first, third, and fifth terms), the numbers are consecutive multiples of 9: 9 × 1 = 9 9 × 2 = 18 9 × 3 = 27

For the terms at the even positions (second, fourth, and sixth terms), the numbers are decreasing powers of 11: 11³ = 1331 11² = 121 11¹ = 11

Explanation

According to the rules of syllogism, Statement (II) is a particular affirmative proposition of the form "Some X are Y", which can be immediately converted into "Some Y are X". Applying this rule of conversion to the premise "Some machines are fools" directly yields the conclusion "Some fools are machines". Therefore, Conclusion I logically follows.

Explanation

Let the ages of Ravi, Prakash, and Kumar be R, P, and K respectively.

Given that the age of Prakash, P = 24 years.

Since Ravi's age is twice the age of Prakash: R = 2 × P = 2 × 24 = 48 years.

Ravi's age is also three times the age of Kumar: R = 3 × K 48 = 3 × K K = 48 / 3 = 16 years.

The age of Kumar after 4 years will be: K + 4 = 16 + 4 = 20 years.

Explanation

To arrange the words in alphabetical order as they appear in a dictionary, we compare them letter by letter:

Comparing the first two letters of each word, Optimistic and Opposition begin with Op, whereas Organization and Ordinary begin with Or. Since p comes before r in the alphabet, the words starting with Op will come first.

Comparing the third letters of the first two words, the third letter in Opposition is p and the third letter in Optimistic is t. Since p comes before t, Opposition (ii) comes before Optimistic (i).

Comparing the third letters of the remaining two words, the third letter in Ordinary is d and the third letter in Organization is g. Since d comes before g, Ordinary (iv) comes before Organization (iii).

Combining these sequences, the correct dictionary order is Opposition (ii), Optimistic (i), Ordinary (iv), and Organization (iii), which yields the sequence ii, i, iv, iii.

Explanation

The coding pattern splits the six-letter word into two halves of three letters each. The letters of the first half are shifted forward by one position (+1), while the letters of the second half are shifted backward by one position (-1).

Applying this logic to MOTHER: M + 1 = N O + 1 = P T + 1 = U H - 1 = G E - 1 = D R - 1 = Q This gives NPUGDQ.

Applying the same logic to ORANGE: O + 1 = P R + 1 = S A + 1 = B N - 1 = M G - 1 = F E - 1 = D This gives PSBMFD.

Explanation

Each number in the first column is a perfect square. The square root of the number in the first column is equal to the sum of the numbers in the second and third columns of that row.

For the first row, √289 = 17, which is equal to 10 + 7.

For the third row, √361 = 19, which is equal to 11 + 8.

Applying the same logic to the second row, √169 = 13. The sum of the missing number and 5 must equal 13. This gives the missing number as 13 - 5 = 8.