SSC CHSL Tier 1 2021 General Intelligence & Reasoning Questions with Solutions

Explanation

The series follows a pattern where each corresponding letter in the consecutive clusters decreases by 5 places in alphabetical order.

Analyzing the first letters of each cluster: Y (25) - 5 = T (20) T (20) - 5 = O (15) O (15) - 5 = J (10) J (10) - 5 = E (5)

Analyzing the second letters of each cluster: X (24) - 5 = S (19) S (19) - 5 = N (14) N (14) - 5 = I (9) I (9) - 5 = D (4)

Analyzing the third letters of each cluster: V (22) - 5 = Q (17) Q (17) - 5 = L (12) L (12) - 5 = G (7) G (7) - 5 = B (2)

Combining these positions gives the next letter-cluster as EDB.

Explanation

The given series is an alternating series consisting of two interleaved sequences.

The sequence at the odd positions is 67, 71, 80, ? where the differences between consecutive terms are consecutive perfect squares: 71 - 67 = 2² = 4 80 - 71 = 3² = 9 The next difference must be 4² = 16, which means the missing term is 80 + 16 = 96.

The sequence at the even positions is 83, 91, 118 where the differences between consecutive terms are consecutive perfect cubes: 91 - 83 = 2³ = 8 118 - 91 = 3³ = 27

This verifies the pattern and confirms the missing number.

Explanation

The relation between the numbers in the given sets follows the logic where the third number is equal to the product of the first number and the difference between the first and second numbers.

Third number = First number × (First number - Second number)

Applying this relation to the given sets: For (37, 28, 333): 37 × (37 - 28) = 37 × 9 = 333 For (41, 39, 82): 41 × (41 - 39) = 41 × 2 = 82

Applying the same logic to the correct set: For (18, 13, 90): 18 × (18 - 13) = 18 × 5 = 90

Explanation

In the pair 30:80, the second number is not three times the first number, since 30 × 3 = 90, which is unequal to 80. This pair fails to follow the tripling relation where the second number is obtained by multiplying the first number by 3, making it the only pair that violates this rule.

Explanation

The coding pattern follows a consecutive increment in the alphabetical position of each letter, starting from plus 1 for the first letter, plus 2 for the second letter, plus 3 for the third letter, and so on.

In the word QUOTE: Q plus 1 = R U plus 2 = W O plus 3 = R T plus 4 = X E plus 5 = J

In the word UNION: U plus 1 = V N plus 2 = P I plus 3 = L O plus 4 = S N plus 5 = S

Applying this same logic to the word YOUNG: Y plus 1 = Z O plus 2 = Q U plus 3 = X N plus 4 = R G plus 5 = L

Explanation

The series is formed by applying a distinct numerical pattern to each of the four positions in the letter clusters:

For the first letter of each cluster: U → V → W → X → Y. The position values in the alphabet are 21, 22, 23, 24, 25, which increases by 1 at each step. This gives X as the first letter.

For the second letter of each cluster: Q → O → M → K → I. The position values are 17, 15, 13, 11, 9, which decreases by 2 at each step. This gives K as the second letter.

For the third letter of each cluster: M → P → S → V → Y. The position values are 13, 16, 19, 22, 25, which increases by 3 at each step. This gives V as the third letter.

For the fourth letter of each cluster: I → E → A → W → S. The position values are 9, 5, 1, 23, 19, which decreases by 4 at each step in a circular alphabetical order. This gives W as the fourth letter.

Combining these letters results in the cluster XKVW.

Explanation

The relationship between the numbers in each row follows the pattern:

(First number × Second number) ÷ 2 = Third number

Applying this formula to each row:

First row: (24 × 9) ÷ 2 = 216 ÷ 2 = 108

Second row: (38 × 5) ÷ 2 = 190 ÷ 2 = 95

Third row: (12 × 17) ÷ 2 = 204 ÷ 2 = 102

Explanation

Substituting the signs from option D, where the symbols represent multiplication, division, equality, and division respectively, we get:

14 × 11 ÷ 22 = 56 ÷ 8

Evaluating the Left Hand Side (LHS): 14 × 11 ÷ 22 = 154 ÷ 22 = 7

Evaluating the Right Hand Side (RHS): 56 ÷ 8 = 7

Since LHS = RHS, the equation is balanced.

Explanation

The relationship between the terms in each pair follows the pattern where the second term is obtained by multiplying the first term by 6 and then subtracting 7.

Formula: Second term = (First term × 6) - 7

Applying this formula to the third pair: 18 × 6 - 7 = 108 - 7 = 101

Applying this formula to the first pair: 24 × 6 - 7 = 144 - 7 = 137

Applying the same formula to the second pair with the first term as 14: 14 × 6 - 7 = 84 - 7 = 77

Explanation

In the given equation, the operator * represents division (/) and x represents multiplication (×).

Applying this to the equation gives: 82 - 5 + (24 / 6) + 17 + (5 × 8) = 127

Interchanging the numbers 6 and 8 yields: 82 - 5 + (24 / 8) + 17 + (5 × 6) = 127

Evaluating the brackets first: 82 - 5 + 3 + 17 + 30 = 127

Performing addition and subtraction: 77 + 3 + 17 + 30 = 127 127 = 127

Explanation

The pattern followed is that the second and the sixth letters of the seven-letter word swap their positions, while all other letters remain unchanged.

In NEUTRAL, swapping the second letter E and the sixth letter A results in NAUTREL.

In PACIFIC, swapping the second letter A and the sixth letter I results in PICIFAC.

Following the same pattern for LOYALTY, swapping the second letter O and the sixth letter T results in LTYALOY.

Explanation

The relationship followed in the other pairs is that the second number is the sum of the digits of the first number. For the pair 459 : 19, the sum of the digits of the first number is 4 + 5 + 9 = 18, which does not equal 19. Therefore, this pair does not follow the rule.

Explanation

Each letter of the input word is coded by its preceding and succeeding letters in the English alphabet. Applying this pattern to 'CHORD', 'C' becomes BD, 'H' becomes GI, 'O' becomes NP, 'R' becomes QS, and 'D' becomes CE, resulting in the code BDGINPQSCE.

Explanation

The series is formed by applying a specific mathematical operation to the alphabetical position of each letter in the clusters.

For the first letter, subtract 5 at each step. This gives R (18) to M (13) to H (8) to C (3) to X (24).

For the second letter, add 9 at each step. This gives R (18) to A (27, which is 1) to J (10) to S (19) to B (28, which is 2).

For the third letter, add 13 at each step. This gives Q (17) to D (30, which is 4) to Q (17) to D (30, which is 4) to Q (17).

For the fourth letter, subtract 9 at each step. This gives Z (26) to Q (17) to H (8) to Y (25, which is -1) to P (16).

Combining these letters for the third term gives HJQH.

Explanation

To find the day of the week on 1 March 2011 starting from 30 January 2010, we calculate the total number of odd days between the two dates.

An ordinary year consists of 365 days, which equals 52 weeks and 1 odd day. Since 2010 is not a leap year, the period from 30 January 2010 to 30 January 2011 has exactly 1 odd day.

Next, we calculate the days from 30 January 2011 to 1 March 2011: Remaining days in January 2011 = 1 day (31 - 30) Days in February 2011 = 28 days (2011 is an ordinary year) Days in March 2011 = 1 day

Total days in this interval = 1 + 28 + 1 = 30 days.

To find the odd days, we divide 30 by 7, which gives a remainder of 2 odd days.

Adding the odd days from both periods: Total odd days = 1 + 2 = 3 odd days.

Adding 3 days to the reference day of Saturday: Saturday + 3 days = Tuesday.

Explanation

The equation is balanced by using the sequence of mathematical signs: ×, =, +, ÷, +, ×, -.

Substituting these signs into the given expression: 41 × 3 = 53 + 48 ÷ 3 + 18 × 5 - 36

Applying the BODMAS rule to evaluate both sides:

Left Hand Side (LHS): 41 × 3 = 123

Right Hand Side (RHS): First, perform the division: 48 ÷ 3 = 16

Next, perform the multiplication: 18 × 5 = 90

Now, perform addition and subtraction from left to right: 53 + 16 + 90 - 36 = 69 + 90 - 36 = 159 - 36 = 123

Since LHS = RHS (123 = 123), the equation is balanced.

Explanation

To find the day of the week on 23rd January 2015 starting from 22nd January 2011, we calculate the number of odd days between the two dates.

The number of years between 22nd January 2011 and 22nd January 2015 is 4 years. Since each ordinary year has 1 odd day and each leap year has 2 odd days, we can find the total odd days by adding the number of years and the number of leap years in this interval.

The leap year in this period is 2012, which contributes 1 extra odd day.

Odd days from 22nd January 2011 to 22nd January 2015 = 4 + 1 = 5 odd days.

Now, we move from 22nd January 2015 to 23rd January 2015, which is an increase of 1 day.

Total odd days = 5 + 1 = 6 odd days.

Adding 6 days to Saturday gives Friday.

Explanation

The pattern in the series is that each subsequent number is obtained by dividing the previous number by 2 and then adding 2. Following this logic, 314 divided by 2 is 157, and adding 2 gives 159, which is further validated by applying the same rule to get the next term (159 divided by 2 plus 2 equals 81.5).

Explanation

The relationship between the given words in each pair is that of a noun and its corresponding adjective form. Centre is a noun and Central is its adjective. Similarly, Character is a noun and Characteristic is its adjective. Following this pattern, Ambition is a noun, and its adjective form is Ambitious.

Explanation

The series follows a specific positional addition pattern for each corresponding letter in the clusters:

For the first letter, the pattern is +3: D (4) + 3 = G (7) G (7) + 3 = J (10) J (10) + 3 = M (13) M (13) + 3 = P (16)

For the second letter, the pattern is +4: P (16) + 4 = T (20) T (20) + 4 = X (24) X (24) + 4 = B (28 or 2) B (2) + 4 = F (6)

For the third letter, the pattern is +5: S (19) + 5 = X (24) X (24) + 5 = C (29 or 3) C (3) + 5 = H (8) H (8) + 5 = M (13)

For the fourth letter, the pattern is +6: Q (17) + 6 = W (23) W (23) + 6 = C (29 or 3) C (3) + 6 = I (9) I (9) + 6 = O (15)

Combining these letters yields JXCC.

Explanation

The series follows a pattern where the difference between consecutive terms alternates between cubes and squares of consecutive natural numbers.

8 - 7 = 1 = 1³ 12 - 8 = 4 = 2² 39 - 12 = 27 = 3³ 55 - 39 = 16 = 4² 180 - 55 = 125 = 5³ 216 - 180 = 36 = 6²

Following this logic, the difference between the final term and 216 must be 7³, which is 343.

216 + 343 = 559

Explanation

The coding pattern involves reversing the order of the letters in the given word.

Applying this rule to THEORY, the letters T-H-E-O-R-Y written in reverse order become Y-R-O-E-H-T.

Applying this rule to OPTION, the letters O-P-T-I-O-N written in reverse order become N-O-I-T-P-O.

Similarly, reversing the letters of the word EXPERT, the letters E-X-P-E-R-T written in reverse order become T-R-E-P-X-E.

Explanation

Substituting the given mathematical operators in place of the letters: (48 ÷ 12) - 71 + 14 × (96 ÷ 6) + 3 × 12

Applying the BODMAS rule, first solve the operations inside the parentheses: 48 ÷ 12 = 4 96 ÷ 6 = 16

The equation becomes: 4 - 71 + 14 × 16 + 3 × 12

Next, perform the multiplication operations: 14 × 16 = 224 3 × 12 = 36

The equation simplifies to: 4 - 71 + 224 + 36

Finally, perform the addition and subtraction: 4 + 224 + 36 - 71 = 264 - 71 = 193

Explanation

From the statement "Some herbs are trees", we know that there is a common overlap between the set of herbs and the set of trees. Since "All trees are shrubs", the entire set of trees is contained within the set of shrubs. Consequently, any herb that is a tree must also be a shrub. This guarantees that there is a non-empty intersection between shrubs and herbs, making Conclusion II "Some shrubs are herbs" logically certain.

For Conclusion I and Conclusion III, although plants are herbs, there is no specified relationship or guaranteed overlap between plants and trees, or plants and shrubs. Thus, Conclusions I and III do not necessarily follow.

Explanation

The relationship between the first number n and the second number in each pair follows the mathematical formula n³ + n/2.

For the first pair, 8³ + 8/2 = 512 + 4 = 516.

For the second pair, 6³ + 6/2 = 216 + 3 = 219.

Applying the same formula to the fifth term, 4³ + 4/2 = 64 + 2 = 66.

Explanation

The given letter series can be divided into four groups of five letters each: Group 1: B E _ K D Group 2: F _ H K D Group 3: J E H _ D Group 4: _ E H K D

Comparing these groups, the last four letters of each group follow a constant pattern of E H K D. Applying this pattern to the blanks: Group 1 becomes B E H K D (first blank is H) Group 2 becomes F E H K D (second blank is E) Group 3 becomes J E H K D (third blank is K) Group 4 becomes _ E H K D

Analyzing the first letter of each group, we have B, F, J, and the fourth blank. The positions of these letters in the alphabetical order are: B = 2 F = 6 J = 10 Since the position of the first letter increases by 4 in each subsequent group, the first letter of Group 4 must be the 14th letter of the alphabet, which is N.

Placing the letters from left to right in the blanks yields H, E, K, and N.

Explanation

The given sequence follows a pattern where each term is multiplied by the square of consecutive natural numbers to obtain the subsequent term.

The mathematical relation for the n-th term is: aₙ = aₙ₋₁ × (n - 1)²

Applying this rule to the terms: First term = 3 Second term = 3 × 1² = 3 × 1 = 3 Third term = 3 × 2² = 3 × 4 = 12 Fourth term = 12 × 3² = 12 × 9 = 108

Following this pattern, the fifth term is: Fifth term = 108 × 4² = 108 × 16 = 1728

Explanation

Substitute the signs from option B sequentially into the given expression: 13 × 5 + 60 ÷ 6 - 11 = 64

Applying the BODMAS rule, perform the division first: 60 ÷ 6 = 10

Next, perform the multiplication: 13 × 5 = 65

Now, perform the addition and subtraction: 65 + 10 - 11 = 75 - 11 = 64

Since both sides of the equation equal 64, the mathematical signs balance the equation.

Explanation

Substituting the sequential signs +, ×, ÷, -, and = into the equation: 25 + 5 × 8 ÷ 4 - 15 = 20

According to the BODMAS rule, perform the division first: 8 ÷ 4 = 2

Next, perform the multiplication: 5 × 2 = 10

Now, perform the addition and subtraction: 25 + 10 - 15 = 20 35 - 15 = 20 20 = 20

This balances the equation.

Explanation

The given series follows an alternating pattern of multiplication and addition using a decreasing sequence of natural numbers starting from 6:

19 × 6 = 114 114 + 5 = 119 119 × 4 = 476 476 + 3 = 479 479 × 2 = 958

Following this pattern, the term that replaces the question mark is 119 × 4 = 476.

Explanation

According to the given statements, some tigers are cranes, and all cranes are bears. Since the entire set of cranes is inside the set of bears, any tiger that is a crane must also be a bear. This guarantees a common intersection between tigers and bears, which means some bears are tigers. Therefore, conclusion I logically follows.

For conclusions II and III, we are given that all jackals are tigers. However, there is no direct or indirect relation established between jackals and bears. The set of jackals could be completely disjoint from the set of bears. Consequently, we cannot definitely conclude that all jackals are bears or that some jackals are bears. Thus, conclusions II and III do not follow.

Explanation

The relationship between the numbers in each pair follows the mathematical formula where the second number is obtained by subtracting the square of the first number from its cube:

y = x³ - x²

Applying this formula to the first pair with x = 3: 3³ - 3² = 27 - 9 = 18

Applying this formula to the third pair with x = 5: 5³ - 5² = 125 - 25 = 100

Following the exact pattern for the second pair with x = 9: 9³ - 9² = 729 - 81 = 648

Explanation

The coding pattern involves dividing the six-letter word into two equal halves of three letters each, reversing the order of letters in each half, and then combining them.

For the word CHOICE, the first half CHO becomes OHC, and the second half ICE becomes ECI, resulting in OHCECI.

For the word DEMAND, the first half DEM becomes MED, and the second half AND becomes DNA, resulting in MEDDNA.

Applying the same logic to EXPECT, the first half EXP becomes PXE, and the second half ECT becomes TCE. Combining these two reversed halves gives PXETCE.

Explanation

The relationship between the three numbers (A, B, C) in each set follows the mathematical logic:

A = B × (C - B)

For the first set (90, 15, 21): 15 × (21 - 15) = 15 × 6 = 90

For the second set (16, 2, 10): 2 × (10 - 2) = 2 × 8 = 16

Applying this same logic to the numbers in option C (46, 23, 25): 23 × (25 - 23) = 23 × 2 = 46

Explanation

The given series follows a pattern where each letter in the cluster increases by 3 positions in alphabetical order to form the corresponding letter in the next cluster.

For the first letter of each cluster, the sequence is A, D, G, J. Adding 3 to the alphabetical position of J (10 + 3 = 13) gives M.

For the second letter of each cluster, the sequence is C, F, I, L. Adding 3 to the alphabetical position of L (12 + 3 = 15) gives O.

For the third letter of each cluster, the sequence is F, I, L, O. Adding 3 to the alphabetical position of O (15 + 3 = 18) gives R.

Combining these letters results in the cluster MOR.

Explanation

The relationship in the first pair is that of a specific subtype to its general category, as a castle is a specific type of building. Applying the same classification logic to the second pair, a sedan is a specific type of car.

Explanation

Each letter of the given word is replaced by its opposite letter in the reverse alphabetical order, where the sum of the positional values of the original letter and its opposite letter is 27.

The coding pattern alternates between letters and numbers. For letters at odd positions (1st, 3rd, and 5th) in the word, the opposite letter itself is used in the code. For letters at even positions (2nd, 4th, and 6th), the alphabetical position number of the opposite letter is used.

Applying this pattern to the word VOLUME: The first letter V (22nd) has the opposite letter E, which is written as E. The second letter O (15th) has the opposite letter L (12th), which is written as the number 12. The third letter L (12th) has the opposite letter O, which is written as O. The fourth letter U (21st) has the opposite letter F (6th), which is written as the number 6. The fifth letter M (13th) has the opposite letter N, which is written as N. The sixth letter E (5th) has the opposite letter V (22nd), which is written as the number 22.

Combining these components together yields the code E12O6N22.

Explanation

The coding pattern involves shifting each letter of the word forward by two positions in the alphabetical order (Letter + 2).

Applying this pattern to the word PREP: P + 2 = R R + 2 = T E + 2 = G P + 2 = R This gives RTGR.

Applying the same pattern to the word MAGNET: M + 2 = O A + 2 = C G + 2 = I N + 2 = P E + 2 = G T + 2 = V

Therefore, MAGNET is written as OCIPGV.

Explanation

Applying the operations in option b to the given expression: 2 × 7 × 3 − 21 + 2 = 23

According to the BODMAS rule, multiplication is performed first: 2 × 7 × 3 = 42

Substituting this back into the equation: 42 − 21 + 2 = 23

Next, performing addition and subtraction from left to right: 42 − 21 = 21 21 + 2 = 23

Since LHS = RHS, this combination of mathematical signs balances the equation.

Explanation

The numbers in the given set follow the pattern where the third number is the product of the first two numbers.

a × b = c

For the given set (56, 12, 672): 56 × 12 = 672

Applying the same mathematical relationship to the set (14, 21, 294): 14 × 21 = 294

Explanation

By decoding the letter symbols to their respective mathematical operators: I denotes ÷ J denotes × K denotes - L denotes +

Substituting these operators into the given expression: 118 + (16 ÷ 4) - (72 × 2) + 28 + (39 × 3)

Applying the BODMAS rule, first solve the operations inside the parentheses: 16 ÷ 4 = 4 72 × 2 = 144 39 × 3 = 117

Now, substitute these values back into the expression: 118 + 4 - 144 + 28 + 117

Perform the addition and subtraction from left to right: 122 - 144 + 28 + 117 = -22 + 28 + 117 = 6 + 117 = 123

Explanation

In the pair 343: 47, the first number is not equal to the product of the second number and 9, since 47 × 9 = 423. In all the other pairs, the first number is obtained by multiplying the second number by 9.

Explanation

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

All five words start with the prefix pro. Comparing the fourth letter of each word, we have h in Prohibit, j in Projectile and Projector, and l in Prolong and Prolific. Since h comes first alphabetically, Prohibit (5) is the first word.

Next, comparing the words starting with proj, Projectile (1) has i as its eighth letter, while Projector (2) has o. Since i comes before o, Projectile (1) comes before Projector (2).

Finally, comparing the words starting with prol, Prolific (4) has i as its fifth letter, while Prolong (3) has o. Since i comes before o, Prolific (4) comes before Prolong (3).

Arranging all the words in this sequence gives the order 5, 1, 2, 4, 3.

Explanation

To arrange the words in the order they appear in an English dictionary, they are compared letter by letter from left to right.

All five words begin with the letters Ca. Comparing the third letters: m in Campaigns and Camphor, n in Candidature, and t in Catalytic and Cataracts. Since m comes before n, and n comes before t, the words starting with Cam come first, followed by Can, and then Cat.

Comparing Campaigns and Camphor, the first four letters Camp are the same. The fifth letter a in Campaigns comes before h in Camphor, so Campaigns (1) is first and Camphor (4) is second.

Next is Candidature (3) as n comes after m but before t.

Comparing Catalytic and Cataracts, the first four letters Cata are the same. The fifth letter l in Catalytic comes before r in Cataracts, so Catalytic (2) comes before Cataracts (5).

Combining these sequences gives the correct alphabetical order of 1, 4, 3, 2, 5.

Explanation

According to the SSS (Side-Side-Side) congruence criterion, two triangles are congruent if their corresponding sides are equal in length. To write the correct symbolic congruence relation, the vertices of the triangles must be written in the exact order of their correspondence.

By identifying the common vertices from the given side relations: For the sides AB = QR and BC = PR, the common vertex on the left side is B, and the common vertex on the right side is R. This gives the correspondence B ↔ R. For the sides BC = PR and CA = PQ, the common vertex on the left side is C, and the common vertex on the right side is P. This gives the correspondence C ↔ P. For the sides CA = PQ and AB = QR, the common vertex on the left side is A, and the common vertex on the right side is Q. This gives the correspondence A ↔ Q.

Combining these correspondences, we get: C ↔ P B ↔ R A ↔ Q

Writing the vertices of the triangles in this corresponding order yields the congruence relation Δ CBA ≅ Δ PRQ.

Explanation

The coding pattern involves alternatively adding 1 and subtracting 1 to the alphabetic positions of the letters in the word (+1, -1, +1, -1, +1).

Applying this to PULSE: P + 1 = Q U - 1 = T L + 1 = M S - 1 = R E + 1 = F This gives QTMFR.

Applying this to HEART: H + 1 = I E - 1 = D A + 1 = B R - 1 = Q T + 1 = U This gives IDBQU.

Applying the same pattern to LIVER: L + 1 = M I - 1 = H V + 1 = W E - 1 = D R + 1 = S This gives MHWDS.

Explanation

To find the day on 14 February 2005 starting from 13 September 2003, we calculate the number of odd days. From 13 September 2003 to 13 September 2004 is a leap year period containing 366 days, which gives 2 odd days, making 13 September 2004 a Monday. From 13 September 2004 to 14 February 2005, there are exactly 154 days (17 in Sept + 31 in Oct + 30 in Nov + 31 in Dec + 31 in Jan + 14 in Feb), which is exactly 22 weeks (0 odd days), meaning 14 February 2005 is also a Monday.

Explanation

The coding pattern involves shifting each letter backward by 2 positions in the alphabetical order.

Applying this -2 shift to the word SAGE: S becomes Q (19 - 2 = 17) A becomes Y (1 - 2 = 25, wrapping around the alphabet) G becomes E (7 - 2 = 5) E becomes C (5 - 2 = 3)

This yields the code QYEC.

Explanation

The relation between the numbers in each pair follows the pattern where the second number is obtained by multiplying the first number by 2 and then subtracting 1.

Second number = 2 × First number - 1

For the first pair: 9 × 2 - 1 = 17

For the third pair: 30 × 2 - 1 = 59

Applying the same mathematical formula to the second pair: 22 × 2 - 1 = 43

Explanation

The given series is an alternating series consisting of two interleaved sequences.

The first sequence is formed by the terms at the odd positions: 67, 64, 61 Each subsequent term in this sequence is obtained by subtracting 3 from the previous term: 67 - 3 = 64 64 - 3 = 61

The second sequence is formed by the terms at the even positions: 79, ?, 85 Each subsequent term in this sequence is obtained by adding 3 to the previous term: 79 + 3 = 82 82 + 3 = 85