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

Explanation

The relationship between the numbers in each pair follows a simple multiplication pattern.

In the first pair, the first term is multiplied by 30 to obtain the second term: 9 × 30 = 270

Similarly, in the second pair, the third term is multiplied by 30 to obtain the fourth term: 15 × 30 = 450

Following this same logic, the fifth term must be multiplied by 30 to find the missing sixth term: 13 × 30 = 390

Explanation

Each letter-cluster in the series follows a specific addition or subtraction pattern for each corresponding letter position.

For the first letter, the difference between consecutive terms is +3. Moving from E (5) to H (8) is an addition of 3, and moving from N (14) to Q (17) is an addition of 3. Applying this to H (8) gives 8 + 3 = 11, which corresponds to K.

For the second letter, the difference is +7. Moving from R (18) to Y (25) is an addition of 7, and from M (13) to T (20) is also +7. Applying this to Y (25) gives 25 + 7 = 32, which wraps around the alphabet to represent F (6).

For the third letter, the difference is +11. Moving from K (11) to V (22) is an addition of 11, and from R (18) to C (3, or 29 in cyclic order) is also +11. Applying this to V (22) gives 22 + 11 = 33, which wraps around the alphabet to represent G (7).

For the fourth letter, the difference is -11. Moving from V (22) to K (11) is a subtraction of 11, and from O (15) to D (4) is a subtraction of 11. Applying this to K (11) gives 11 - 11 = 0, which wraps around the alphabet to represent Z (26).

Combining these determined letters yields KFGZ.

Explanation

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

First, we compare the first letters of each word: Uplift starts with U; Vantage, Various, Variety, and Valor start with V; Wherefore starts with W. Since U comes before V, and V comes before W, Uplift (3) is the first word and Wherefore (2) is the last word in the sequence.

Next, we arrange the words starting with V by comparing their third letters, as their first two letters are all Va: Valor has the third letter l; Vantage has the third letter n; Variety and Various have the third letter r. Since l comes before n, and n comes before r, Valor (6) is positioned second, followed by Vantage (1).

Now, we compare the remaining two words, Variety and Various, which both start with Vari: Variety has the fifth letter e; Various has the fifth letter o. Since e comes before o, Variety (5) comes before Various (4).

Combining all the sorted words gives the final dictionary order of Uplift (3), Valor (6), Vantage (1), Variety (5), Various (4), and Wherefore (2), which corresponds to the sequence 3, 6, 1, 5, 4, 2.

Explanation

The coding pattern divides the word into two equal halves. The second half of the word is written in reverse order, followed by the first half of the word written in its original order.

For COMPUTER, the first half is COMP and the second half is UTER. Reversing the second half UTER gives RETU. Combining them in the specified order results in RETUCOMP.

For LAPTOP, the first half is LAP and the second half is TOP. Reversing the second half TOP gives POT. Combining them results in POTLAP.

Applying the same logic to BOTTLE, the first half is BOT and the second half is TLE. Reversing the second half TLE gives ELT. Combining them results in ELTBOT.

Explanation

The series follows an alternating pattern of multiplication and subtraction using consecutive integers starting from 1:

First term: 14 Second term: 14 × 1 = 14 Third term: 14 - 2 = 12 Fourth term: 12 × 3 = 36 Fifth term: 36 - 4 = 32 Sixth term: 32 × 5 = 160

Following this sequence, the next mathematical operation is to subtract 6 from the sixth term:

Seventh term: 160 - 6 = 154

Explanation

According to the statements, all books are copies and some erasers are books. Since all books are contained within the category of copies, any eraser that is a book must also be a copy. This establishes a guaranteed overlap between the set of copies and the set of erasers, which means some copies are erasers. Therefore, Conclusion I logically follows.

For the other conclusions, since all books are copies and no copy is a pen, it is impossible for any book to be a pen, which makes Conclusion II invalid. Similarly, we only know that the erasers which are books cannot be pens, meaning some erasers are not pens. This does not provide enough information to definitively conclude that no eraser is a pen, making Conclusion III invalid.

Explanation

The given letter codes represent the following mathematical operations: M denotes - N denotes ÷ O denotes × P denotes +

Substituting these operators into the given expression: (38 × 13) ÷ 19 - 27 + (38 × 3) + 43 - 68

Applying the BODMAS rule, first solve the operations inside the parentheses: 38 × 13 = 494 38 × 3 = 114

Substituting these values back into the expression: 494 ÷ 19 - 27 + 114 + 43 - 68

Next, perform division: 494 ÷ 19 = 26

Now, substitute this result and perform the addition and subtraction from left to right: 26 - 27 + 114 + 43 - 68 = 88

Explanation

The series follows an alternating pattern of multiplication and subtraction with increasing integers: multiply by 2, subtract 3, multiply by 4, subtract 5, and multiply by 6. Applying this to the sequence, we get 8 * 2 = 16, 16 - 3 = 13, 13 * 4 = 52, 52 - 5 = 47, and 47 * 6 = 282. Therefore, the number that replaces the question mark is 52.

Explanation

The letters of the words are coded by alternatingly adding 2 and subtracting 2 from their alphabetical positions (+2, -2, +2, -2, +2).

Applying this logic to APRON: A + 2 = C P - 2 = N R + 2 = T O - 2 = M N + 2 = P

Applying this logic to EARTH: E + 2 = G A - 2 = Y R + 2 = T T - 2 = R H + 2 = J

Following the same pattern for HEAVY: H + 2 = J E - 2 = C A + 2 = C V - 2 = T Y + 2 = A

This gives the code JCCTA.

Explanation

The letter series can be divided into four groups of five letters each:

Group 1: D E F W G Group 2: D E F V G Group 3: D E F U G Group 4: D E F T G

In this pattern, each group begins with the letters D E F and ends with the letter G. The fourth letter of each group decreases sequentially in reverse alphabetical order: W → V → U → T.

Placing the letters F, D, V, G, and E sequentially from left to right into the blanks completes this pattern: D E (F) W G (D) E F (V) G D E F U (G) D (E) F T G

Explanation

Substituting the signs of the correct option gives 34 + 4 × 15 − 51 = 27 ÷ 9 + 40. Applying BODMAS to each side, the left side becomes 34 + 60 − 51 = 43 and the right side becomes 3 + 40 = 43. Both sides equal 43, so this is the only combination that balances the equation.

Explanation

The time duration between 28 February 2017 and 28 February 2019 is exactly 2 ordinary years, as neither 2018 nor 2019 is a leap year. An ordinary year of 365 days contains exactly 52 weeks and 1 odd day. Therefore, the total number of odd days over these 2 years is 1 + 1 = 2 odd days. Adding 2 days to Tuesday yields Thursday.

Explanation

To find the correct order, we can arrange the seven friends from oldest to youngest in positions 1 to 7.

First, because only two people are older than Q, Q must occupy the 3rd position.

Second, since P is older than Q but younger than O, the two positions older than Q must be filled by O in the 1st position and P in the 2nd position.

Third, because only three people are younger than S, S must occupy the 4th position.

Fourth, as N is the youngest among all, N must occupy the 7th position.

Finally, we are told that M is older than R but younger than S. The only remaining positions younger than S are the 5th and 6th positions, so M must be in the 5th position and R must be in the 6th position.

The complete order from oldest to youngest is: O, P, Q, S, M, R, N

Comparing the positions, the persons whose ages are between Q (3rd) and R (6th) are S (4th) and M (5th). This gives a total of 2 people between them.

Explanation

In each row, the second number equals the first number multiplied by 4 and then reduced by 2, while the third number equals the first number multiplied by 8. This holds for the first row (13 x 4 - 2 = 50 and 13 x 8 = 104) and the third row (18 x 4 - 2 = 70 and 18 x 8 = 144). Applying the same rule to the second row, whose first term is 11, gives 11 x 8 = 88 as the missing value.

Explanation

From 09 April to 30 April is a gap of 21 days, and 21 is an exact multiple of 7 (3 complete weeks). Since the day of the week repeats every 7 days, 30 April 2023 falls on the same day as 09 April 2023, which is Friday.

Explanation

Each letter in the cluster shifts forward through the alphabet by a fixed number of positions across the series, wrapping from Z back to A when needed. The first letters run X, B, ?, J, N with a constant step of +4 (X→B→F→J→N), the second letters run A, I, ?, Y, G with a constant step of +8 (A→I→Q→Y→G), the third letters run P, B, ?, Z, L with a constant step of +12 (P→B→N→Z→L), and the fourth letters run E, U, ?, A, Q with a constant step of +16 (E→U→K→A→Q). Combining the missing terms F, Q, N and K gives FQNK.

Explanation

In three of the pairs the second number is the cube of the first: 8 cubed is 512, 6 cubed is 216, and 4 cubed is 64. In the pair 8:64, however, 64 is the square of 8 rather than its cube, so this pair breaks the cubing pattern followed by all the others and is the odd one out.

Explanation

Substituting the coded symbols as addition, subtraction, multiplication and division gives 37 + 25 − (14 × 2) + (2 × 13) − (62 ÷ 31). Working through the brackets first: 14 × 2 = 28, 2 × 13 = 26, and 62 ÷ 31 = 2. The expression then becomes 37 + 25 − 28 + 26 − 2, which equals 58.

Explanation

In the coding pattern, the letters of the word are taken in swapped pairs while the middle letter stays fixed: the 1st and 2nd letters exchange places, the 3rd letter remains in position, and the 4th and 5th letters exchange places. Applying this to DREAM (D-R-E-A-M) swaps D and R to give R-D, keeps E in the middle, and swaps A and M to give M-A, producing RDEMA.

Explanation

The transformation rearranges the six letters of each word into the fixed position order 4-5-3-1-2-6. For GENIUS this yields I-U-N-G-E-S, and for HOLDER it yields D-E-L-H-O-R, confirming the pattern. Applying the same position order 4-5-3-1-2-6 to LIGHTS (L-I-G-H-T-S) takes the 4th, 5th, 3rd, 1st, 2nd and 6th letters in that sequence, giving H-T-G-L-I-S.

Explanation

Substituting the signs ×, ÷, –, +, = in that order gives 45 × 9 = 405, then 405 ÷ 3 = 135, then 135 – 7 = 128, and finally 128 + 5 = 133, which balances the equation exactly as required.

Explanation

The series splits into two alternating sub-series formed from the odd and even positions. The odd positions (1st, 3rd, 5th) run 199, 196, 193, decreasing by 3 each time, while the even positions (2nd, 4th, 6th) run 211, ?, 217, increasing by 3 each time. Since 211 + 3 = 214 and 214 + 3 = 217, the missing term is 214.

Explanation

The relationship in each pair is second number = (first number × 4) + 4: for 19, 19 × 4 + 4 = 80, and for 23, 23 × 4 + 4 = 96. Applying the same rule to 16 gives 16 × 4 + 4 = 68, so the fifth term corresponding to 16 is 68.

Explanation

Substituting the signs of the correct option gives 67 + 88 ÷ 8 − 14 × 3 − 19 = 17. By BODMAS the division and multiplication are done first: 88 ÷ 8 = 11 and 14 × 3 = 42. The left side is then 67 + 11 − 42 − 19 = 17, which equals the right side, so the equation balances.

Explanation

The series follows an alternating pattern of addition and multiplication using consecutive integers starting from 3:

17 + 3 = 20 20 × 3 = 60 60 + 4 = 64 64 × 4 = 256 256 + 5 = 261 261 × 5 = 1305

Following this pattern, the next term is obtained by adding 6 to the previous term:

1305 + 6 = 1311

Explanation

To arrange the words in alphabetical order as they appear in an English dictionary, compare them letter by letter.

First, compare Beggar and Beginner which both start with the prefix beg-. Since the fourth letter g in Beggar comes before the fourth letter i in Beginner, Beggar (3) is placed before Beginner (1).

Next, compare Beheld and Behind which both start with the prefix beh-. Since the fourth letter e in Beheld comes before the fourth letter i in Behind, Beheld (2) is placed before Behind (5).

Finally, Belief (4) starts with bel- and comes last because l comes after g and h in the alphabet, which yields the sequence 3, 1, 2, 5, 4.

Explanation

Let the seven friends be ordered from oldest to youngest in positions 1 to 7.

Since P is older than only U and R, P must occupy the 5th position, with U and R occupying the 6th and 7th positions. Since R is older than U, R is 6th and U is 7th.

The remaining positions to be filled are 1, 2, 3, and 4 by the remaining friends Q, S, T, and V.

We are given that Q is older than S but younger than T, which gives the relation T > Q > S. Since T is not the oldest, T cannot occupy the 1st position. Therefore, V must occupy the 1st position. This places T in the 2nd position, Q in the 3rd position, and S in the 4th position.

The final order of ages from oldest to youngest is V > T > Q > S > P > R > U.

The persons whose ages lie between Q (3rd) and R (6th) are S (4th) and P (5th). This gives a total of 2 persons.

Explanation

The coding pattern associates each word with the alphabetical position of its first letter. In the English alphabet, A is 1, B is 2, C is 3, and so on.

Applying this rule to the given examples: The word Read starts with R, which is the 18th letter. The word the starts with T, which is the 20th letter. The word code starts with C, which is the 3rd letter. The word Decode starts with D, which is the 4th letter. The word is starts with I, which is the 9th letter. The word easy starts with E, which is the 5th letter.

Using this same pattern for the phrase make one code: The first letter of make is M, which corresponds to 13. The first letter of one is O, which corresponds to 15. The first letter of code is C, which corresponds to 3.

Thus, the code for make one code is 13 15 3.

Explanation

Substituting the mathematical signs from option D into the given expression: 78 + 43 × 2 - 56 = 27 × 4

Applying the BODMAS rule to solve the Left-Hand Side (LHS): LHS = 78 + 43 × 2 - 56 LHS = 78 + 86 - 56 LHS = 164 - 56 LHS = 108

Solving the Right-Hand Side (RHS): RHS = 27 × 4 RHS = 108

Since LHS = RHS = 108, this combination of signs successfully balances the equation.

Explanation

Substituting the mathematical signs from option A into the given equation gives: 230 × 1 + 5 + 16 - 41 = 210

According to the DMAS rule, calculations are performed in the order of Multiplication, Addition, and then Subtraction.

First, perform the multiplication: 230 × 1 = 230

Next, perform the addition: 230 + 5 + 16 = 251

Finally, perform the subtraction: 251 - 41 = 210

This satisfies and balances the equation.

Explanation

Substituting the mathematical signs from option B (×, +, -, =, ×, +) into the given equation:

41 × 4 + 39 - 73 = 25 × 4 + 30

Evaluating the left-hand side of the equation using BODMAS rule: 41 × 4 + 39 - 73 = 164 + 39 - 73 164 + 39 - 73 = 203 - 73 = 130

Evaluating the right-hand side of the equation: 25 × 4 + 30 = 100 + 30 = 130

Both sides of the equation yield the same value of 130, balancing the equation successfully.

Explanation

Correct Answer: D

The mathematical pattern followed in the number-pairs is y = x³ - x², where x is the first number and y is the second number.

For the first pair, 4³ - 4² = 64 - 16 = 48.

For the second pair, 6³ - 6² = 216 - 36 = 180.

For the third pair, 8³ - 8² = 512 - 64 = 448.

Applying the same logic to the fourth pair, 9³ - 9² = 729 - 81 = 648, which does not equal 639.

Explanation

The letter series can be completed by dividing the sequence into groups of 6 letters. By placing the letters from option C (W, P, I, N, E) into the blanks, we get:

Group 1: P N I E X W Group 2: N I E Y P N Group 3: P E Z P I N Group 4: E ...

In this pattern: The first letters of the groups follow an alternating sequence: P, N, P, N. The other letters shift and increment systematically (for example, the letter in the fifth position increments: X to Y to Z).

Explanation

The letter-cluster pattern is based on dividing a seven-letter word into three parts: the first three letters, the middle letter, and the last three letters. These parts are then rearranged in the order of: last three letters, middle letter, and first three letters.

Applying this pattern to CAPTURE: First three letters: CAP Middle letter: T Last three letters: URE Rearranging them gives: URE + T + CAP = URETCAP

Applying the same pattern to DESKTOP: First three letters: DES Middle letter: K Last three letters: TOP Rearranging them gives: TOP + K + DES = TOPKDES

Explanation

By substituting the signs from the correct combination sequentially into the equation 93 65 3 56 14 * 40, we get:

93 – 65 + 3 × 56 ÷ 14 = 40

Applying the BODMAS rule:

First, perform the division operation: 56 ÷ 14 = 4

Next, perform the multiplication operation: 3 × 4 = 12

Now, substitute these back into the equation: 93 – 65 + 12 = 40

Perform the addition and subtraction from left to right: 28 + 12 = 40 40 = 40

The equation is perfectly balanced.

Explanation

The common pattern for the number pairs is represented by the formula y = (x + 1) × 5, where x is the first number and y is the second number. For the pair 6:36, substituting x = 6 into this relation yields (6 + 1) × 5 = 35, which does not match the given second number of 36.

Explanation

In this coded equation, the letters represent standard mathematical operators as follows: I represents ÷ (division) J represents × (multiplication) K represents - (subtraction) L represents + (addition)

Substituting these operators into the given equation: 42 + 18 - (7 × 4) + (21 ÷ 3) × 9 + 22

Applying the BODMAS rule, first solve the expressions inside the brackets: 7 × 4 = 28 21 ÷ 3 = 7

The equation becomes: 42 + 18 - 28 + 7 × 9 + 22

Next, perform the multiplication: 7 × 9 = 63

Now, substitute this value back into the expression: 42 + 18 - 28 + 63 + 22

Finally, perform the addition and subtraction operations from left to right: 60 - 28 + 63 + 22 = 32 + 63 + 22 = 117

Explanation

When the letters from the option LLaaaWL are sequentially placed in the blanks, the complete series is formed as:

a L L W a L W a L a W a L a a W a W L L

To find the pattern, we can divide this 20-letter series into four groups of 5 letters each:

Group 1: a L L W a Group 2: L W a L a Group 3: W a L a a Group 4: W a W L L

In the first three groups, the fifth letter is always a, while the first four letters shift cyclically using the letters a, L, and W: In Group 1, the first four letters are a L L W. In Group 2, the letters shift to L W a L. In Group 3, they shift further to W a L a. In Group 4, the pattern completes with the remaining letters W a W L L.

Explanation

The relation between the first number x and the second number y in each pair is given by the ratio formula:

y = x × 3/2

For the first pair, substituting x = 14 gives y = 14 × 3/2 = 21.

For the second pair, substituting x = 6 gives y = 6 × 3/2 = 9.

Following the same logic for the third pair with x = 12, the missing number is calculated as y = 12 × 3/2 = 18.

Explanation

Correct Answer: A

To find the day of the week on 28 November 2021 from 20 July 2021, we calculate the total number of days between these two dates.

Remaining days in July = 11 days (31 - 20) Days in August = 31 days Days in September = 30 days Days in October = 31 days Days in November = 28 days

Total days = 11 + 31 + 30 + 31 + 28 = 131 days

Dividing the total days by 7 to find the number of odd days: 131 ÷ 7 = 18 weeks and 5 odd days

Adding 5 days to Tuesday: Tuesday + 1 = Wednesday Tuesday + 2 = Thursday Tuesday + 3 = Friday Tuesday + 4 = Saturday Tuesday + 5 = Sunday

Explanation

The coding pattern swaps adjacent pairs of letters in the given word. The first and second letters exchange positions, and the third and fourth letters exchange positions.

For the word RACE, swapping R and A gives AR, and swapping C and E gives EC, which results in AREC.

For the word PEAK, swapping P and E gives EP, and swapping A and K gives KA, which results in EPKA.

Applying this same rule to CORE, swapping the first two letters C and O gives OC, and swapping the last two letters R and E gives ER. This results in the code OCER.

Explanation

By decoding the characters to their correct mathematical operators based on the context: A denotes addition (+) B denotes multiplication (×) C denotes subtraction (-) D denotes division (÷)

Substituting these operators into the given expression: 71 + 3 × 2 - 6 × (65 ÷ 13) - 7 × 4

Applying the BODMAS rule, first solve the expression inside the parentheses: 65 ÷ 13 = 5

Substitute this value back into the equation: 71 + 3 × 2 - 6 × 5 - 7 × 4

Next, perform the multiplication operations: 3 × 2 = 6 6 × 5 = 30 7 × 4 = 28

Now, substitute these products back into the expression: 71 + 6 - 30 - 28

Finally, perform the addition and subtraction from left to right: 77 - 30 - 28 = 19

Explanation

The coding pattern divides the six-letter word into three pairs of two letters each and applies the following operations:

For the first pair, the positions of the letters are interchanged: T and O become O and T.

For the middle pair, each letter is shifted forward by 3 positions in alphabetical order: P + 3 = S, and P + 3 = S, which gives S and S.

For the last pair, the positions of the letters are interchanged: E and R become R and E.

Combining these parts in order gives OTSSRE.

Explanation

In this type of question, the letters represent standard mathematical operators. By deciphering the operators: P denotes × (multiplication) Q denotes ÷ (division) R denotes + (addition) S denotes - (subtraction)

Substituting these operators into the given equation: (40 ÷ 4) × 5 + (3 × 6) - (7 × 8) + 21

Applying the BODMAS rule to solve the expression: First, solve the operations inside the parentheses: (40 ÷ 4) = 10 (3 × 6) = 18 (7 × 8) = 56

Now substitute these values back into the expression: 10 × 5 + 18 - 56 + 21

Next, perform multiplication: 50 + 18 - 56 + 21

Finally, perform addition and subtraction from left to right: 50 + 18 + 21 - 56 = 89 - 56 = 33

Explanation

The coding pattern multiplies the positional value of consonants by 2, while retaining the exact positional value of vowels (A=1, B=2, ..., Z=26).

For HELP: H (consonant) is 8th letter: 8 × 2 = 16 E (vowel) is 5th letter: 5 × 1 = 5 L (consonant) is 12th letter: 12 × 2 = 24 P (consonant) is 16th letter: 16 × 2 = 32 Combining these numbers sequentially yields 1652432.

For SAVE: S (consonant) is 19th letter: 19 × 2 = 38 A (vowel) is 1st letter: 1 × 1 = 1 V (consonant) is 22nd letter: 22 × 2 = 44 E (vowel) is 5th letter: 5 × 1 = 5 Combining these numbers sequentially yields 381445.

Applying this pattern to MAIL: M (consonant) is 13th letter: 13 × 2 = 26 A (vowel) is 1st letter: 1 × 1 = 1 I (vowel) is 9th letter: 9 × 1 = 9 L (consonant) is 12th letter: 12 × 2 = 24 Combining these numbers sequentially yields 261924.

Explanation

The common mathematical operation applied to the first number to obtain the second number in the consistent pairs is:

Second number = (First number × 1.5) + 10

For the first number 13, applying this operation yields: (13 × 1.5) + 10 = 19.5 + 10 = 29.5

Since the second number in the pair 13:28.5 is 28.5 instead of 29.5, it does not conform to this pattern.

Explanation

Since R is the brother of N and R is the only son of K, N must be K's daughter. S is the only daughter-in-law of K, which means S is married to K's only son, R. Since N is the sister of R and S is the wife of R, N is the husband's sister of S.

Explanation

The relation between the three numbers (a, b, c) in each set is defined by the formula:

(a ÷ b) + b = c

Applying this logic to the given sets:

First set (56, 8, 15): (56 ÷ 8) + 8 = 7 + 8 = 15

Second set (32, 16, 18): (32 ÷ 16) + 16 = 2 + 16 = 18

Following the same pattern for the set in option C (66, 6, 17): (66 ÷ 6) + 6 = 11 + 6 = 17

Explanation

Since all ants are beetles, the set of ants is a subset of the set of beetles. Since no beetle is a frog, the set of beetles and the set of frogs are completely disjoint, meaning they have no common elements. Because the set of ants is entirely inside the set of beetles, the set of ants must also be completely disjoint from the set of frogs. Thus, no frog is an ant, which makes conclusion III logically correct.

Explanation

The mathematical pattern followed by the pairs is that the second number is obtained by subtracting 2 from the square root of the first number.

Second number = √(First number) - 2

For the pair 100:9, applying this formula gives: √100 - 2 = 10 - 2 = 8

Since the second number in this pair is 9 instead of 8, it does not follow the pattern.