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

Explanation

Statement (I) establishes that there is at least one individual who is a teacher, as some authors are teachers. Statement (II) states that no teacher is a lady, which means the set of teachers and the set of ladies are completely disjoint. Since there is at least one teacher and no teacher can be a lady, it is guaranteed that those teachers are not ladies. Thus, Conclusion I logically follows.

Explanation

The series follows a specific addition pattern for both the first and second letters of each term.

For the first letters, the alphabetical positions of A, E, I, and M are 1, 5, 9, and 13. The pattern increases by 4 in each step. Adding 4 to the position of M (13) gives 17, which corresponds to the letter Q.

For the second letters, the alphabetical positions of N, Q, T, and W are 14, 17, 20, and 23. The pattern increases by 3 in each step. Adding 3 to the position of W (23) gives 26, which corresponds to the letter Z.

Explanation

The series follows a pattern where each term is obtained by shifting the letters of the preceding term forward by 5 positions in alphabetical order, working cyclically.

For the first letter, adding 5 positions to each letter gives: P (16) + 5 = U (21) U (21) + 5 = Z (26) Z (26) + 5 = E (5) E (5) + 5 = J (10)

For the second letter, adding 5 positions gives: R (18) + 5 = W (23) W (23) + 5 = B (2) B (2) + 5 = G (7) G (7) + 5 = L (12)

For the third letter, adding 5 positions gives: Q (17) + 5 = V (22) V (22) + 5 = A (1) A (1) + 5 = F (6) F (6) + 5 = K (11)

Combining the resulting letters E, G, and F in order yields EGF.

Explanation

Let the age of Khushboo be K, Ankit be A, Chandan be C, and Sumit be S.

Khushboo's age is given as: K = 25 years

Ankit is twice as old as Khushboo: A = 2 × K A = 2 × 25 = 50 years

Chandan is 2 years older than Ankit: C = A + 2 C = 50 + 2 = 52 years

Chandan is 1 year younger than Sumit, which means Sumit is 1 year older than Chandan: S = C + 1 S = 52 + 1 = 53 years

Explanation

The given series increases by consecutive integers starting from 25.

The difference between the first and second term is 275 - 250 = 25. The difference between the second and third term is 301 - 275 = 26.

Following this pattern of consecutive differences, the difference between the third and fourth term must be 27.

Calculating the missing term: 301 + 27 = 328

Explanation

In this code, the word is formed by splitting the original word into two equal halves and then swapping their order, so the second half comes first followed by the first half. MATERIAL splits into MATE and RIAL, giving RIALMATE. Applying the same rule to REMEMBER, which splits into REME and MBER, gives MBER followed by REME, that is MBERREME.

Explanation

The pattern in each row follows the formula: (First number - 1) × Second number = Third number.

For the first row: (5 - 1) × 8 = 4 × 8 = 32. For the second row: (9 - 1) × 6 = 8 × 6 = 48. For the third row: (7 - 1) × 9 = 6 × 9 = 54.

Explanation

According to the given definition of the mathematical operations: Q denotes divided by (÷) P denotes subtracted from (-) S denotes multiplied by (×) R denotes added to (+)

Substituting these operators into the given expression: 14641 Q 121 P 100 S 2 R 100 = 14641 ÷ 121 - 100 × 2 + 100

Applying the BODMAS rule, we perform the division first: 14641 ÷ 121 = 121

Next, we perform the multiplication: 100 × 2 = 200

Now, substituting these values back into the expression: 121 - 200 + 100

Finally, performing addition and subtraction from left to right: 121 - 200 + 100 = -79 + 100 = 21

Explanation

By sequentially placing the letters A, P, R, C, and Q into the five gaps of the series _BC_Q_AB_P_R, the sequence is completed as follows:

First gap (at the very beginning): A Second gap (between C and Q): P Third gap (between Q and A): R Fourth gap (between B and P): C Fifth gap (between P and R): Q

This completes the series to form: ABC PQR ABC PQR

The completed series consists of two alternating three-letter alphabetical groups: ABC and PQR.

Explanation

Let the starting point be the origin (0, 0).

The man turns north and walks 5 km, reaching the point (0, 5). At this position, he is facing north.

From this position, he turns 270 degrees anticlockwise. Since a 270 degrees anticlockwise turn from north is equivalent to a 90 degrees clockwise turn, he is now facing east.

He then walks 12 km east, reaching the point (12, 5).

The minimum distance d between the initial position (0, 0) and the final position (12, 5) is calculated using the Pythagorean theorem:

d = √(12² + 5²) = √(144 + 25) = √169 = 13 km

Explanation

To find the set of numbers representing the word GOLF, we identify the row and column numbers for each individual letter using the given rule where the row number is followed by the column number:

For G: Row 9 and Column 5 in Matrix-II contains G, represented as 95.

For O: Row 2 and Column 4 in Matrix-I contains O, represented as 24.

For L: Row 5 and Column 9 in Matrix-II contains L, represented as 59.

For F: Row 4 and Column 3 in Matrix-I contains F, represented as 43.

Combining these codes in order gives 95, 24, 59, 43.

Explanation

The phrase my grandfather's son can refer to either the boy's father or the boy's uncle, as a grandfather can have more than one son. Consequently, the wife of this son could be either the boy's mother or the boy's aunt. Since there is no further information to specify whether the son is the only son of the grandfather, a unique relationship cannot be established.

Explanation

Conclusion I does not follow because the fact that children start writing with a pen in the sixth standard does not logically imply they are incapable of using a pen on their own before that. It could simply be due to school regulations or curriculum design rather than a lack of ability.

Conclusion II does not follow because the premises only mention that ink pens are prescribed to maintain handwriting and comfort. There is no information provided in the statements regarding the physical mechanism of the ink pen, such as maintaining a proper flow of ink or requiring less effort to write. This makes the second conclusion an external assumption that cannot be logically derived from the given statements. Therefore, neither conclusion follows.

Explanation

The series represents SI units of length in descending order, where each successive term is decreased by a factor of 10⁻³.

A millimetre is equal to 10⁻³ metres. A micrometre is equal to 10⁻⁶ metres. A nanometre is equal to 10⁻⁹ metres.

Following this geometric progression of dividing by 1000 at each successive step, the next term in the series must be 10⁻¹² metres, which corresponds to a picometre.

Explanation

To find the arrangement, we can place the five individuals in positions 1 to 5 from left to right.

Since C is at the extreme right, C occupies position 5.

D is the immediate neighbour of A and E, which means they must be grouped together as either A-D-E or E-D-A.

B is to the right of E. Since C is at position 5, the group of three (A, D, and E) must occupy the first three positions (1, 2, and 3), leaving position 4 for B. For B to be to the right of E, E must be at position 3, D at position 2, and A at position 1. This gives the sequence A, D, E, B, C.

Counting from C at position 5, the first to the left is B at position 4, the second is E at position 3, the third is D at position 2, and the fourth to the left is A at position 1.

Explanation

To arrange the words in the sequence in which they occur in a dictionary, we compare them letter by letter from left to right.

All five words begin with the letters Sh.

Comparing the third letter of each word, the words Shadiness, Shallow, and Shamelessly have the third letter a, while Shore and Shortage have the third letter o. Since a comes before o in alphabetical order, the words starting with Sha will appear first.

Among Shadiness, Shallow, and Shamelessly, we compare the fourth letters, which are d, l, and m respectively. Since d comes before l, and l comes before m, the order of these three words is Shadiness (iv), Shallow (v), and Shamelessly (iii).

Among Shore and Shortage, both share the first four letters S-h-o-r. Comparing their fifth letters, Shore has e and Shortage has t. Since e comes before t, Shore (ii) comes before Shortage (i).

Combining both groups, the complete alphabetical sequence is Shadiness (iv), Shallow (v), Shamelessly (iii), Shore (ii), and Shortage (i).

Explanation

The code for each letter is obtained by direct letter-to-digit mapping from the given words:

From SPARROW coded as 1326654, we have: S = 1 P = 3 A = 2 R = 6 O = 5 W = 4

From RING coded as 6978, we have: R = 6 I = 9 N = 7 G = 8

By selecting the corresponding digits for the letters in RAINS: R = 6 A = 2 I = 9 N = 7 S = 1

Putting these digits together in order, RAINS is written as 62971.

Explanation

The ratio of the numbers in the third row to the first row remains constant across all columns.

First column: 54 ÷ 36 = 1.5 Second column: 66 ÷ 44 = 1.5

Applying this same ratio of 1.5 to the third column: Missing number = 32 × 1.5 = 48

Explanation

By interchanging the signs × and - in the given equation, the expression on the left-hand side becomes 17 × 15 - 5. Calculating this value using the standard order of operations:

17 × 15 - 5 = 255 - 5 = 250

This is equal to the right-hand side of the equation, satisfying the statement.

Explanation

The given letter series consists of a repeating four-letter pattern: jklm.

Dividing the twelve-character series into three equal groups of four letters each reveals the underlying structure: _ k _ m | _ k l _ | j k _ m

Sequentially placing the letters j, l, j, m, and l in the respective gaps completes each group as the pattern jklm. The completed sequence is: j k l m | j k l m | j k l m

Explanation

The analogy represents the target used for scoring in a particular sport. In football, the players score by putting the ball in the goal. Similarly, in basketball, the players score by putting the ball through the basket.

Explanation

The relationship between the first pair is established by shifting each letter of the word OFFICIAL forward by two positions in the English alphabetical order.

O + 2 = Q F + 2 = H F + 2 = H I + 2 = K C + 2 = E I + 2 = K A + 2 = C L + 2 = N

Applying the same pattern of shifting each letter forward by two positions to the word LANGUAGE:

L + 2 = N A + 2 = C N + 2 = P G + 2 = I U + 2 = W A + 2 = C G + 2 = I E + 2 = G

This yields the coded word NCPIWCIG.

Explanation

The relationship between the words is determined by shifting each letter of the first word backward by one position in the alphabetical order (-1) to get the corresponding letter of the second word.

Applying this -1 logic to the letters of SPINSTER: S minus 1 is R P minus 1 is O I minus 1 is H N minus 1 is M S minus 1 is R T minus 1 is S E minus 1 is D R minus 1 is Q This yields ROHMRSDQ.

Applying the same -1 logic to the letters of SEMESTER: S minus 1 is R E minus 1 is D M minus 1 is L E minus 1 is D S minus 1 is R T minus 1 is S E minus 1 is D R minus 1 is Q This yields RDLDRSDQ.

Explanation

The logic followed in this analogy is multiplying the first number by a constant factor of 6 to obtain the second number.

12 × 6 = 72

Applying the same mathematical relationship to the next term:

13 × 6 = 78

Explanation

Sydney is the odd one out because it is a major city located in Australia, whereas all the other cities are located in the United States of America.

Explanation

Let the starting point of Rahul be the origin O (0, 0).

First, Rahul walks 5 km East to reach point A with coordinates (5, 0).

Next, he turns South-east (at an angle of -45° to the East) and walks 10 km, then turns North-east (at an angle of +45° to the East) and walks 10 km. Since these two paths are symmetric with respect to the East axis, the vertical displacements cancel each other out, while the horizontal displacements add up. The eastward distance covered in each of these turns is 10 × cos(45°) = 5√2 km. After these two turns, he reaches point C on the East axis, located at a distance of 5 + 10√2 km from the starting point.

Finally, he walks 10 km North, which places him at point D with coordinates (5 + 10√2, 10). Since both the horizontal (East) and vertical (North) coordinates are positive, his final position lies in the first quadrant, which is in the North-east direction from his starting point.

Explanation

In the alphabetical sequence, the position of F is 6 and G is 7, representing consecutive letters with a positional difference of 1. In all other letter pairs, the difference between the alphabetical positions of the two letters is 3.

Explanation

The sum of the digits of the number 2378 is 20 (2 + 3 + 7 + 8 = 20), whereas the sum of the digits for each of the other numbers is 14.

Explanation

The number 64 is a perfect square (8² = 64). The other numbers are pronic numbers, representing the product of two consecutive integers, such as 7 × 8 = 56, 8 × 9 = 72, and 9 × 10 = 90.

Explanation

The given series consists of consecutive straight-chain alkanes arranged in ascending order of the number of carbon atoms they contain. Hexane has 6 carbon atoms, Heptane has 7 carbon atoms, and Octane has 8 carbon atoms. Following this logical sequence, the preceding term must be the alkane with 5 carbon atoms, which is Pentane (C₅H₁₂).

Explanation

The series follows a pattern where the number of consecutive letters in each term decreases by one, while skipping two letters between successive terms.

The first term is EFGHI (5 letters). After skipping J and K, the second term is LMNO (4 letters). After skipping P and Q, the third term is RST (3 letters). After skipping U and V, the fourth term is WX (2 letters). Following the same pattern, after skipping Y and Z, the next term must contain only 1 letter, which is A.

Explanation

The series progresses by adding 10 to the alphabetical positions of both letters in each successive term, using a circular alphabet of 26 letters.

The alphabetical positions of the first letters are: T is 20 D is 4 (or 20 + 10 = 30, which is 4 after subtracting 26) N is 14 (4 + 10 = 14)

Following this pattern, the first letter of the missing term is 14 + 10 = 24, which is X.

The alphabetical positions of the second letters are: U is 21 E is 5 (or 21 + 10 = 31, which is 5 after subtracting 26) O is 15 (5 + 10 = 15)

Following this pattern, the second letter of the missing term is 15 + 10 = 25, which is Y.

Combining the two letters gives XY.

Explanation

The pattern of the given series is that each term is obtained by multiplying the previous term by 2 and adding 1.

Term(n) = Term(n-1) × 2 + 1

Let the missing first term be x. Applying the pattern to find the second term:

x × 2 + 1 = 9 2x = 8 x = 4

Thus, the first term is 4. This pattern holds true for the rest of the series as well: 9 × 2 + 1 = 19 19 × 2 + 1 = 39 39 × 2 + 1 = 79

Explanation

The set of women and the set of people who can vote are completely disjoint since no women can vote. The set of women and the set of politicians intersect because some women are politicians.

Conclusion I refers to male politicians, but the statements do not provide any information about males or their voting rights.

Conclusion II states that some politicians can vote. While we know that some politicians are women and therefore cannot vote, we have no information about the remaining politicians. They may or may not have the ability to vote, making it impossible to definitively conclude that some politicians can vote.

Explanation

Let the incomes of the friends be represented by their initials.

Based on the given statements: K's income is more than L's income but lesser than M's income, which gives the relation M > K > L. I's income is lesser than K's income, which gives the relation K > I. J's income is the least of all.

Combining these relations, M is greater than K, while K is greater than L, I, and J. Since M has an income greater than K, and K's income is greater than that of all the remaining friends, M must have the maximum income.

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 letters Ex.

Comparing the third letter, Examination (i) has a, whereas the other three words have p. Since a precedes p alphabetically, Examination (i) is the first word.

Comparing the remaining words, Expenditure (iii), Experience (iv), and Explicit (ii), we look at their fourth letters. Both Expenditure (iii) and Experience (iv) have e, while Explicit (ii) has l. Since e comes before l, Expenditure (iii) and Experience (iv) come before Explicit (ii).

To determine the order between Expenditure (iii) and Experience (iv), we compare their fifth letters. Expenditure (iii) has n, while Experience (iv) has r. Since n precedes r, Expenditure (iii) comes before Experience (iv).

Explanation

To identify the code for the word ANIMAL, each letter is represented first by its row number and then by its column number from the respective matrix.

For the first letter A, row 6 and column 9 from Matrix-II gives 69.

For the second letter N, row 2 and column 2 from Matrix-I gives 22.

For the third letter I, row 9 and column 9 from Matrix-II gives 99.

For the fourth letter M, row 5 and column 6 from Matrix-II gives 56.

For the fifth letter A, row 0 and column 3 from Matrix-I gives 03.

For the sixth letter L, row 2 and column 3 from Matrix-I gives 23.

Combining these values in sequence, the word ANIMAL is represented by the set of numbers 69, 22, 99, 56, 03, 23.

Explanation

By comparing the given words and their corresponding codes, we can establish a direct one-to-one letter-to-digit mapping:

In NUMBER written as 156897, the letters correspond to: N = 1 U = 5 M = 6 B = 8 E = 9 R = 7

In BARREN written as 847791, the letters correspond to: B = 8 A = 4 R = 7 R = 7 E = 9 N = 1

This confirms the mapping is consistent. Applying this mapping to the word RUBBER: R corresponds to 7 U corresponds to 5 B corresponds to 8 B corresponds to 8 E corresponds to 9 R corresponds to 7

Combining these digits in order gives 758897.

Explanation

The pattern in the matrix follows a column-wise relationship where the number in the third row is the sum of the squares of the numbers in the first and second rows.

For the first column, we have 6² + 7² = 36 + 49 = 85.

For the second column, we have 8² + 9² = 64 + 81 = 145.

Applying the same logic to the third column yields 12² + 14² = 144 + 196 = 340.

Explanation

To find the value of the expression 96 L 4 K 6 M 11 D 9, substitute the letters with their respective mathematical operators:

L represents division (÷) K represents subtraction (-) M represents addition (+) D represents multiplication (×)

Substituting these operators into the expression gives: 96 ÷ 4 - 6 + 11 × 9

According to the BODMAS rule, perform the operations in the order of division, multiplication, addition, and subtraction:

First, division: 96 ÷ 4 = 24

Next, multiplication: 11 × 9 = 99

This simplifies the expression to: 24 - 6 + 99

Finally, addition and subtraction: 24 - 6 + 99 = 18 + 99 = 117

Explanation

The letter series is completed by placing the letters D, C, E, and D in the gaps to form the repeating pattern CDDE CDDE CDDE. This corresponds to option C.

Explanation

Gurpreet starts by facing South. Her first right turn directs her towards the West. Her second right turn from the West direction directs her towards the North. Finally, a left turn from the North direction directs her back towards the West.

Explanation

The word PRIME can be decoded by identifying the row and column coordinates of each letter in the matrices, where the first digit represents the row and the second digit represents the column.

P is found at the intersection of row 3 and column 3 in Matrix-I, giving the code 33.

R is found at the intersection of row 3 and column 4 in Matrix-I, giving the code 34.

I is found at the intersection of row 1 and column 1 in Matrix-I, giving the code 11.

M is found at the intersection of row 9 and column 7 in Matrix-II, giving the code 97.

E is found at the intersection of row 5 and column 6 in Matrix-II, giving the code 56.

These coordinates together yield the sequence 33, 34, 11, 97, 56.

Explanation

Sandeep and Ankur are brothers, meaning they share the same parents. Since Sandeep is the son of Kishan, Ankur is also the son of Kishan. Given that Baljor is Kishan's father, Baljor is the paternal grandfather of Ankur. This means Ankur is the grandson of Baljor.

Explanation

We can break down the statement made by Ankit step-by-step from the end:

Ankit's grandfather's son represents Ankit's father.

The daughter of Ankit's father is Ankit's sister.

The son of Ankit's sister is Ankit's nephew.

Thus, the boy is the nephew of Ankit.

Explanation

Bhutan is traditionally called Druk Yul, which translates directly to the Land of the Thunder Dragon. This name is derived from the Drukpa Lineage of Tibetan Buddhism, which is the state religion of the country. According to local mythology, the thunder heard in the Himalayan valleys is believed to be the voice of the dragon, symbolising the strength and spiritual power of the nation. The thunder dragon, or Druk, is also prominently featured on the national flag of Bhutan.

Explanation

The relationship is established by shifting each letter forward by 13 positions in the alphabetical series.

For the first pair, C is the 3rd letter and D is the 4th letter. Adding 13 to their positions yields the 16th letter, P, and the 17th letter, Q.

Applying the same logic to the second pair, G is the 7th letter and H is the 8th letter. Adding 13 to their positions yields the 20th letter, T, and the 21st letter, U. This forms the related pair TU.

Explanation

The relation between the letters in the first pair is determined by their alphabetical positions.

The positional values of E and F are 5 and 6 respectively. For the first letter, 5 is added to its position: 5 + 5 = 10, which corresponds to J. For the second letter, 5 is subtracted from its position: 6 - 5 = 1, which corresponds to A. This gives the pair JA.

Applying the same pattern to the second pair: The positional values of N and O are 14 and 15 respectively. For the first letter, 14 + 5 = 19, which corresponds to S. For the second letter, 15 - 5 = 10, which corresponds to J.

Applying this logic yields SJ.

Explanation

The relationship in the first pair is based on multiplying the first number by 29 to get the second number.

17 × 29 = 493

Applying the same mathematical logic to the second pair, the missing number is calculated by dividing 551 by 29.

551 ÷ 29 = 19

Explanation

Bismillah Khan was a legendary Indian musician and Shehnai maestro, while the other personalities are all renowned Indian scientists.