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

Explanation

The number 216 is a perfect cube (6³ = 216) and is not a perfect square, whereas all the other options in the set are perfect squares.

Explanation

The number 928 does not follow the mathematical pattern where the difference between the first two digits equals the third digit. Subtracting the second digit from the first digit gives 9 - 2 = 7, which does not equal the third digit 8.

Explanation

The series represents the constituent gases of Earth's dry atmosphere arranged in descending order of their abundance by volume.

Nitrogen is the most abundant gas, making up approximately 78.08% of the atmosphere. This is followed in decreasing order by Oxygen at approximately 20.95%, Argon at approximately 0.93%, and Carbon dioxide at approximately 0.04%.

Explanation

Each term in the series is obtained by multiplying the previous term by 1.5.

First term = 4 Second term = 4 × 1.5 = 6 Third term = 6 × 1.5 = 9 Fourth term = 9 × 1.5 = 13.5 Fifth term = 13.5 × 1.5 = 20.25

The missing term in the sequence is 20.25, which is written in decimal comma format as 20,25.

Explanation

According to the given statements, we must accept the premises as strictly true regardless of standard mathematical facts. Statement II explicitly states that natural number is not included in whole number. This directly leads to the logical deduction that a natural number is not a whole number. Therefore, Conclusion I logically and directly follows from Statement II.

Explanation

The difference between consecutive terms in the series forms a sequence of powers of 2.

3 - 2 = 1 5 - 3 = 2 9 - 5 = 4 17 - 9 = 8

The differences are 1, 2, 4, and 8. The next difference in this sequence must be 8 × 2 = 16.

Adding this difference to the last term gives 17 + 16 = 33.

Alternatively, each term can be obtained by multiplying the previous term by 2 and subtracting 1:

2 × 2 - 1 = 3 3 × 2 - 1 = 5 5 × 2 - 1 = 9 9 × 2 - 1 = 17 17 × 2 - 1 = 33

Explanation

The series consists of repeating pairs of letters where the alphabetical positions of the letters correspond to prime numbers in descending order, and the cases alternate between uppercase and lowercase.

W is the 23rd letter of the alphabet, represented in uppercase as WW.

s is the 19th letter of the alphabet, represented in lowercase as ss.

Q is the 17th letter of the alphabet, represented in uppercase as QQ.

Following the descending prime number sequence (23, 19, 17, 13, 11), the next term corresponds to the 13th letter of the alphabet, which is M. Following the alternating case pattern (uppercase, lowercase, uppercase, lowercase, uppercase), this term must be lowercase, which gives mm.

K is the 11th letter of the alphabet, represented in uppercase as KK.

Explanation

The given series follows a pattern based on the alphabetical positions of the letters in each term.

For the first letter of each term: The position of I is 9. The position of M is 13, which is an increase of 4 positions from I. The position of R is 18, which is an increase of 5 positions from M. Following this progressive increment of +4, +5, the next first letter must be an increase of 6 positions. 18 + 6 = 24, which corresponds to the letter X.

For the second letter of each term: The position of G is 7. The position of K is 11, which is an increase of 4 positions from G. The position of P is 16, which is an increase of 5 positions from K. Following the same progressive increment of +4, +5, the next second letter must be an increase of 6 positions. 16 + 6 = 22, which corresponds to the letter V.

Combining these letters yields the next term in the series as XV.

Explanation

Let Anuj's age be A, his mother's age be M, and his father's age be F.

According to the given information, the father's age is 38 years: F = 38

Since the father is 8 years older than the mother, we have: F = M + 8 38 = M + 8 M = 38 - 8 M = 30

The sum of the ages of Anuj and his mother is 32: A + M = 32 A + 30 = 32 A = 32 - 30 A = 2

Explanation

To arrange the 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 prefix Am. Comparing the third letters, a comes before i and o, making Amalgamate (iv) the first word. Amiable (iii) has i as its third letter, making it the second word.

For the remaining words, Amoeba (i) and Amok (ii) both have o as their third letter. Comparing their fourth letters, e comes before k, meaning Amoeba (i) precedes Amok (ii).

The complete alphabetical sequence is Amalgamate, Amiable, Amoeba, Amok, which corresponds to the order iv, iii, i, ii.

Explanation

The coding pattern involves reversing the letters of the word first and then shifting each letter forward by one position in the alphabetical sequence.

For the word ROYALTY, reversing the letters gives YTLAYOR. Shifting each letter forward by one position (adding 1) results in: Y + 1 = Z T + 1 = U L + 1 = M A + 1 = B Y + 1 = Z O + 1 = P R + 1 = S This yields ZUMBZPS.

Applying the same logic to LINGER, reversing the letters gives REGNIL. Shifting each letter forward by one position yields: R + 1 = S E + 1 = F G + 1 = H N + 1 = O I + 1 = J L + 1 = M This results in SFHOJM.

Explanation

The numbers in each column follow a specific mathematical relation where the third number is obtained by adding the first number to the square of the second number.

For the first column: 16 + 6² = 16 + 36 = 52

For the second column: 81 + 5² = 81 + 25 = 106

Applying the same pattern to the third column: 49 + 6² = 49 + 36 = 85

Explanation

Substituting the given operations into the expression 8 C 45 D 180 B 9 A 11 gives:

8 - 45 + 180 ÷ 9 × 11

According to the BODMAS rule, division is performed first, followed by multiplication, and then addition and subtraction:

First, division: 180 ÷ 9 = 20

The expression becomes: 8 - 45 + 20 × 11

Next, multiplication: 20 × 11 = 220

The expression becomes: 8 - 45 + 220

Finally, addition and subtraction: 8 + 220 - 45 = 228 - 45 = 183

Explanation

By sequentially placing the letters of the set abcb into the gaps of the given letter series _b_b_da_bbcd, we fill the four blanks with the letters a, b, c, and b respectively.

This yields the completed sequence: abbbcdabbbcd

This completed series is formed by repeating the 6-letter pattern abbbcd twice: abbbcd | abbbcd

Thus, filling the blanks with the letters a, b, c, and b completes the repetitive pattern.

Explanation

Let Ankit's house be the reference point at (0, 0). Since Amit's house is to the east of Ankit's house, Amit's house lies along the positive x-axis, say at (10, 0).

Suman's house is south of Amit's house, which places it at (10, -5).

Raman's house is east of Amit's house, which places it further along the positive x-axis, say at (15, 0).

To find the direction of Raman's house with respect to Suman's house, we trace the path from Suman's house at (10, -5) to Raman's house at (15, 0). Moving from Suman's house to Raman's house requires going in the eastward direction (increasing x-coordinate) and northward direction (increasing y-coordinate). This combined direction is north-east.

Explanation

The letters of the word NUMBER are identified using the row number followed by the column number from the given matrices:

N is represented by row 2 and column 1 in Matrix-I, giving 21. U is represented by row 7 and column 9 in Matrix-II, giving 79. M is represented by row 5 and column 6 in Matrix-II, giving 56. B is represented by row 0 and column 4 in Matrix-I, giving 04. E is represented by row 2 and column 0 in Matrix-I, giving 20. R is represented by row 5 and column 7 in Matrix-II, giving 57.

These coordinates combine to form the sequence 21, 79, 56, 04, 20, 57.

Explanation

According to Statement I, people are turning back to ancestral practices and realizing the significance of Yoga and Pranayam. Since Yoga and Pranayam are ancient, traditional methods known for promoting health and well-being, acknowledging their importance directly implies that ancient sciences contain valuable natural remedies and cures for various diseases. Therefore, Conclusion I logically follows from the given premises.

Explanation

Let us break down the relation step-by-step:

Ankur's grandfather's daughter-in-law is Ankur's mother.

The only sister of Ankur's mother is Ankur's maternal aunt.

The son of Ankur's maternal aunt is Ankur's cousin.

Therefore, the boy is Ankur's cousin.

Explanation

The given series represents standard units of time arranged in an increasing order of duration. Sixty seconds constitute a minute, sixty minutes constitute an hour, and twenty-four hours constitute a day.

Explanation

To determine the seating arrangement of the six individuals facing west, we can define the positions from left to right. For a person facing west, their left is towards the south and their right is towards the north.

Fahim is at the extreme left end, so Fahim occupies the first position on the south side.

Bhuvan is just to the left of Lalit but to the right of Dilip. This gives the relative order as Dilip, Bhuvan, Lalit from left to right.

Chetan is sitting to the immediate right of Lalit, and Chetan is between Amit and Lalit. This means Amit must be to the right of Chetan. This gives the relative order as Lalit, Chetan, Amit.

Combining all the clues from left to right (south to north), the complete seating arrangement is Fahim, Dilip, Bhuvan, Lalit, Chetan, Amit.

Looking at this arrangement, the individuals sitting on either side of Dilip are Fahim and Bhuvan.

Explanation

To arrange the words in alphabetical order, we compare their letters from left to right.

All five words begin with the letter I. The second letters are either n or r. Since n comes before r in the alphabet, the words starting with In will appear before those starting with Ir.

For the words starting with In: Invariable has the fourth letter a. Investigate has the fourth letter e. Invincible has the fourth letter i. Comparing these fourth letters alphabetically (a, e, i) gives the sequence: Invariable (iv), Investigate (v), Invincible (ii).

For the words starting with Ir: Both Irrelevant and Irresistible start with Irre. Comparing the fifth letters, l in Irrelevant comes before s in Irresistible, which gives the sequence: Irrelevant (i), Irresistible (iii).

Explanation

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

From the word READER coded as 123421, we get: R = 1 E = 2 A = 3 D = 4

From the word DIRTY coded as 49178, we verify: D = 4 R = 1

Applying these letter-to-digit values to the word DEARER, we substitute the corresponding digits in order: D becomes 4 E becomes 2 A becomes 3 R becomes 1 E becomes 2 R becomes 1

This yields the sequence 423121.

Explanation

The pattern followed in each column of the matrix is that the sum of the first two numbers is equal to the sum of the last two numbers.

For the first column: 36 + 72 = 108 56 + 52 = 108

For the second column: 86 + 59 = 145 45 + 100 = 145

Applying the same pattern to the third column: 35 + 78 = 113

Therefore, the sum of the third and fourth numbers in the third column must also equal 113: ? + 100 = 113 ? = 113 - 100 = 13

Explanation

Substituting the mathematical operators as per the given instructions, the equation in option A becomes: 4 + 5 × 9 ÷ 3 - 4 = 15

Applying the BODMAS rule to solve the expression: First, perform the division operation: 9 ÷ 3 = 3 Which simplifies the expression to: 4 + 5 × 3 - 4

Next, perform the multiplication operation: 5 × 3 = 15 Which simplifies the expression to: 4 + 15 - 4

Finally, perform the addition and subtraction: 19 - 4 = 15 15 = 15

Since both sides are equal, this equation is mathematically correct.

Explanation

The given letter series is: p _ q _ _ q q _ p _ q r

By placing the letters from the correct option (q, r, p, r, q) into the gaps sequentially, we get: 1st gap: q 2nd gap: r 3rd gap: p 4th gap: r 5th gap: q

This completes the sequence as: p q q r p q q r p q q r

Dividing the sequence into groups of four letters reveals a repeating pattern of the group "pqqr": pqqr / pqqr / pqqr

Explanation

The given analogy represents the relationship between a prominent personality and their autobiography. Dr. A. P. J. Abdul Kalam wrote his autobiography titled Wings of Fire. Similarly, Mahatma Gandhi wrote his autobiography titled The Story of My Experiments with Truth, which details his life from his early childhood through to 1921.

Explanation

At 3:30, the minute hand of a standard clock points directly South, towards the 6 o'clock mark. The hour hand points between East and South-East, midway between the 3 and 4 o'clock marks.

In this scenario, the minute hand points towards the North-East instead of South. Moving from South to North-East represents a 135° counter-clockwise rotation of the compass directions.

Applying the same 135° counter-clockwise rotation to the hour hand, which is located in the South-East direction, shifts its orientation. Rotating South-East by 90° counter-clockwise leads to North-East, and rotating it another 45° counter-clockwise leads directly to North-West. This shifts the hour hand into the North-West direction.

Explanation

The relationship is based on the numerical positions of the letters in the English alphabet.

For the first pair, IH : RP: I is the 9th letter, and 9 × 2 = 18, which is the position of R. H is the 8th letter, and 8 × 2 = 16, which is the position of P.

Applying this same doubling logic to GJ: G is the 7th letter, and 7 × 2 = 14, which corresponds to N. J is the 10th letter, and 10 × 2 = 20, which corresponds to T.

Explanation

The relationship between the first pair of numbers is defined by multiplying the first number by 4.

15 × 4 = 60

Applying the same mathematical logic to the second pair:

11 × 4 = 44

Explanation

Qutb-ud-din Aibak founded the Mamluk Dynasty and ruled as part of the Delhi Sultanate, unlike the other rulers who belonged to the Mughal Dynasty.

Explanation

In the English alphabet, where A = 1, B = 2, and so on, the positional values of the letters in the pair EV are 5 and 22. This gives a difference of 17 (22 - 5 = 17). For all other letter pairs, the difference between the positions of the two letters is exactly 4.

Explanation

In this classification problem, the pattern followed by the numbers is that the sum of the first two digits is equal to the third digit. In the number 318, the sum of the first two digits is 3 + 1 = 4, which is not equal to the third digit 8. Therefore, this number does not follow the general rule.

Explanation

For each number pair, the second number is calculated by raising the first digit of the first number to the power of the second digit of the first number. In the pair 51, 25, applying this rule yields 5¹ = 5, which does not equal 25, making it the odd pair.

Explanation

The given series represents the homologous series of alkanes arranged in ascending order based on the number of carbon atoms in their molecular structure.

Ethane contains two carbon atoms (C₂H₆), propane contains three carbon atoms (C₃H₈), and butane contains four carbon atoms (C₄H₁₀). Following this sequence, the preceding member must contain a single carbon atom. Methane, with the chemical formula CH₄, is the simplest alkane containing one carbon atom and perfectly completes the sequence.

Explanation

The terms in the given series are obtained by multiplying each successive term with increasing natural numbers starting from 2.

15 × 2 = 30 30 × 3 = 90 90 × 4 = 360 360 × 5 = 1800

Following this sequential multiplication, the missing term is 1800.

Explanation

The second statement states that some bricks are trees. In syllogism, a particular affirmative statement of the form Some A are B can be converted directly into Some B are A. Therefore, the statement Some bricks are trees immediately yields the conclusion Some trees are bricks, which means conclusion II logically follows. There is no direct link or distribution of terms to connect stones and trees, so conclusion I does not follow.

Explanation

The series follows a pattern based on the alphabetical positions of the starting letters. The position of the first letter in each term increases by an increment that grows by one each time:

K (11) + 5 = P (16) P (16) + 6 = V (22) V (22) + 7 = 29, which corresponds to C (3) after wrapping around the 26 letters of the alphabet.

Each term in the series consists of three consecutive English letters in alphabetical order. Following the starting letter C, the next two consecutive letters are D and E, forming the term CDE.

Explanation

The letter representation is defined first by its row and then by its column. For the word RHINO, each letter can be identified using this row-column rule:

R is present at row 0 and column 1, which corresponds to 01. H is present at row 5 and column 6, which corresponds to 56. I is present at row 2 and column 3, which corresponds to 23. N is present at row 6 and column 8, which corresponds to 68. O is present at row 1 and column 4, which corresponds to 14.

These match the sequence 01, 56, 23, 68, 14.

Explanation

Each term in the series is obtained by shifting the letters of the preceding term forward by 10 positions in alphabetical order.

For the first letter of each term: D (4th letter) + 10 = N (14th letter) N (14th letter) + 10 = X (24th letter) X (24th letter) + 10 = 34th letter, which corresponds to H (8th letter, after subtracting 26)

For the second letter of each term: I (9th letter) + 10 = S (19th letter) S (19th letter) + 10 = 29th letter, which corresponds to C (3rd letter, after subtracting 26) C (3rd letter) + 10 = M (13th letter)

Combining the first and second letters gives the term HM.

Explanation

Let the ages of Arjun, his daughter, and his son be A, D, and S, respectively.

According to the given information, the sum of the ages of Arjun and his daughter is: A + D = 48

The average of the ages of Arjun, his daughter, and his son is 25: (A + D + S) / 3 = 25

By multiplying both sides by 3, the total sum of their ages is: A + D + S = 75

Substituting the value of A + D into the equation: 48 + S = 75 S = 75 - 48 = 27

Explanation

To arrange the words in alphabetical order as they appear in a dictionary, we compare their letters from left to right.

All four words begin with the prefix Fa. Comparing the third letter of each word: Fanatic and Fantasy have n. Fascinate has s. Favourite has v.

Since n comes before s, and s comes before v in alphabetical order, the words beginning with Fan come first, followed by Fascinate, and then Favourite.

Comparing the fourth letter of the two words starting with Fan: Fanatic has a. Fantasy has t.

Since a comes before t, Fanatic precedes Fantasy.

This gives the final alphabetical sequence as Fanatic (ii), Fantasy (i), Fascinate (iii), and Favourite (iv).

Explanation

By comparing the letters of the words JOCKEY and STREAM with their respective codes, we can determine the direct letter-to-symbol mapping.

From the word JOCKEY coded as @1^*?>: J maps to @ O maps to 1 C maps to K maps to * E maps to ? Y maps to >

From the word STREAM coded as =/?<+: S maps to = T maps to R maps to / E maps to ? A maps to < M maps to +

Using these mapped symbols for the word JAMMER: J maps to @ A maps to < M maps to + M maps to + E maps to ? R maps to /

Combining these mappings, the letters of JAMMER correspond to the symbols @, <, +, +, ?, and /, which gives the coded sequence of @<++/? where the last two symbols represent E and R.

Explanation

The relationship in each column follows the pattern where the value in the third row is the difference between the value in the first row and the value in the second row.

First column: 93 - 57 = 36 Second column: 199 - 157 = 42 Third column: 961 - 944 = 17

Explanation

Replacing the symbols with their corresponding mathematical operators: | is replaced by ÷ @ is replaced by × % is replaced by - is replaced by +

The given expression is: 144 ÷ 16 × 4 - 2 + 8

According to the BODMAS rule, division is performed first, followed by multiplication, and then addition and subtraction:

First, perform division: 144 ÷ 16 = 9

The expression becomes: 9 × 4 - 2 + 8

Next, perform multiplication: 9 × 4 = 36

The expression becomes: 36 - 2 + 8

Finally, perform addition and subtraction from left to right: 36 - 2 + 8 = 34 + 8 = 42

Explanation

Placing the letters from the option sequentially into the four gaps of the series ab_ccd_b_c_d results in: abbccdabbccd

This forms a perfect repeating pattern of the six-letter unit "abbccd" twice: abbccd abbccd

Explanation

Let the starting point of Aryan be represented as the origin (0, 0).

When he travels 20m south, he reaches the position (0, -20). Facing south, a left turn directs him towards the east. Walking 35m in this direction brings him to the position (35, -20). Facing east, another left turn directs him towards the north. Walking 20m north brings him to his final position at (35, 0).

Since the 20m southward movement is exactly offset by the 20m northward movement, the distance between his original position (0, 0) and his final position (35, 0) is simply the horizontal distance of 35m.

Explanation

The letters of the word SAREE are represented by taking the row number first and then the column number from the given matrices.

S is represented by 89, which corresponds to Row 8 and Column 9 in Matrix-II.

A is represented by 44, which corresponds to Row 4 and Column 4 in Matrix-I.

R is represented by 57, which corresponds to Row 5 and Column 7 in Matrix-II.

E is represented by 04, which corresponds to Row 0 and Column 4 in Matrix-I.

The second E is represented by 78, which corresponds to Row 7 and Column 8 in Matrix-II.

Thus, the set of numbers representing the word SAREE is 89, 44, 57, 04, 78.

Explanation

The speaker's maternal grandmother's granddaughter can be the speaker's sister or maternal cousin. The husband of one's sister or cousin is referred to as a brother-in-law. Since Karan is the husband of this granddaughter, he is the brother-in-law of the speaker.

Explanation

Shipra's brother's grandfather is also Shipra's grandfather.

Anil's mother's father is Anil's maternal grandfather.

The statement "His mother's father is the grandfather of my brother" means that Anil's maternal grandfather is the grandfather of Shipra.

This relationship holds true when Anil's mother and Shipra's father are siblings. In this scenario, Anil's maternal grandfather is the same person as Shipra's paternal grandfather, which makes Anil the cousin of Shipra.

Explanation

The given analogy represents the relationship between a crop category and an example of a crop belonging to that category.

Oat is a Rabi crop, which is sown in winter and harvested in spring. Following the same relationship, paddy is a Kharif crop, which is sown at the beginning of the monsoon season (June to July) and harvested in autumn (September to October).