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

Explanation

Substituting the symbols in the expression 18 + 9 = 128 > 2 according to the given rules:

The plus sign (+) stands for division (÷) The equals sign (=) stands for less than (<) The greater than sign (>) stands for multiplication (×)

Applying these substitutions, the expression becomes: 18 ÷ 9 < 128 × 2

Evaluating the left-hand side: 18 ÷ 9 = 2

Evaluating the right-hand side: 128 × 2 = 256

Since 2 < 256 is mathematically correct, this statement holds true.

Explanation

The given letter series is based on a repeating four-letter pattern: mnop.

Dividing the complete series of twelve letters into three identical blocks gives: mnop | mnop | mnop

Comparing this completed pattern with the given series: First gap is filled by m to get mn. Second gap is filled by o to get op. Third gap is filled by m to get mn. Fourth gap is filled by p to get op. Fifth gap is filled by n to get mn. Sixth gap is filled by o to get op.

Thus, the sequence of letters to be filled is mompno.

Explanation

Let the starting point be the origin (0, 0) on a Cartesian plane where the positive x-axis is East, the negative x-axis is West, the positive y-axis is North, and the negative y-axis is South.

First, the man travels 10 km West, reaching the position: P₁ = (-10, 0)

Next, he travels 20 km North-East. A movement in the North-East direction represents an angle of 45° relative to the positive x-axis. The displacement vector for this leg is: V₂ = (20 cos 45°, 20 sin 45°) = (20 × 1/√2, 20 × 1/ √2) = (10√2, 10√2) Using √2 ≈ 1.414, this displacement is approximately (14.14, 14.14). His position after this movement is: P₂ = (-10 + 10√2, 10√2) ≈ (4.14, 14.14)

Finally, he travels 5 km South-East. A movement in the South-East direction represents an angle of -45° relative to the positive x-axis. The displacement vector for this leg is: V₃ = (5 cos -45°, 5 sin -45°) = (5 × 1/√2, -5 × 1/√2) = (2.5√2, -2.5√2) Using √2 ≈ 1.414, this displacement is approximately (3.54, -3.54).

His final position relative to the origin is: P₃ = P₂ + V₃ = (-10 + 12.5√2, 7.5√2)

Calculating the exact values: X-coordinate = -10 + 12.5 × 1.414 = 7.68 km Y-coordinate = 7.5 × 1.414 = 10.61 km

Since both the X-coordinate (East) and Y-coordinate (North) are positive, his final position lies in the first quadrant, which corresponds to the North-East direction from the origin.

Explanation

To find the relationship, the statement can be broken down from the end: Anju's brother's mother is Anju's mother. The sister of Anju's mother is Anju's maternal aunt. Therefore, the lady is Anju's aunt.

Explanation

Seismology is the scientific study of earthquakes. Similarly, hydrology is the branch of science concerned with the properties, distribution, and movement of water on and below the Earth's surface. This establishes a direct relationship between a scientific discipline and its primary subject of study.

Explanation

In the first pair DR : SE, the letters are related by shifting their alphabetical positions by +1 in a cross pattern: First letter of the first term (D) + 1 = Second letter of the second term (E) Second letter of the first term (R) + 1 = First letter of the second term (S)

Following the same logic for the second pair NC : ? First letter of the first term (N) + 1 = Second letter of the second term (O) Second letter of the first term (C) + 1 = First letter of the second term (D)

Combining these letters in their respective positions gives DO.

Explanation

The relationship between the letter pairs is based on opposite letters in the alphabetical order, where the sum of the numerical positions of the corresponding letters is 27.

K is the 11th letter from the beginning of the alphabet, and P is the 11th letter from the end (position 16), which satisfies 11 + 16 = 27. D is the 4th letter from the beginning, and W is the 4th letter from the end (position 23), which satisfies 4 + 23 = 27.

Applying this same rule to RN: R is the 18th letter from the beginning, so its corresponding opposite letter is the 18th letter from the end, which is I (position 9, since 18 + 9 = 27). N is the 14th letter from the beginning, so its corresponding opposite letter is the 14th letter from the end, which is M (position 13, since 14 + 13 = 27).

Explanation

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

For 37, the sum of the digits is 3 + 7 = 10.

Applying the same logic to 65, the sum of the digits is 6 + 5 = 11.

Explanation

The Bardoli Satyagraha of 1928 was a localized peasant movement in Gujarat led by Sardar Vallabhbhai Patel, whereas the other movements were major nationwide campaigns of the Indian freedom struggle launched and led directly by Mahatma Gandhi.

Explanation

The pair YW represents a decreasing alphabetical sequence with a difference of -2 between the letters, where Y is the 25th letter and W is the 23rd letter. All other pairs follow an increasing alphabetical sequence with a difference of +2 between their first and second letters.

Explanation

The logic of the given numbers is that the sum of the first two digits equals the third digit. In the number 678, the sum of the first two digits is 6 + 7 = 13, which does not equal the third digit 8.

Explanation

The number 150 is the odd one out because the other three numbers follow the mathematical pattern of n³ - n² for some integer n. For instance, 18 is equal to 3³ - 3² (which is 27 - 9), 48 is equal to 4³ - 4² (which is 64 - 16), and 180 is equal to 6³ - 6² (which is 216 - 36). On the other hand, 150 follows the pattern n³ + n² for n = 5 (since 5³ + 5² = 125 + 25 = 150), making it different from the rest.

Explanation

The given series represents the order of precedence of the highest constitutional and political offices in India in descending order. According to this warrant of precedence, the President of India occupies the highest rank (Rank 1) as the head of state. This is followed by the Vice President at Rank 2, the Prime Minister at Rank 3, and the Deputy Prime Minister at Rank 5a.

Explanation

The first letters of each term follow a pattern of incrementing by 2 in alphabetical position: J (10) plus 2 is L (12), L (12) plus 2 is N (14), and N (14) plus 2 is P (16).

Similarly, the second letters of each term also increment by 2 in alphabetical position: I (9) plus 2 is K (11), K (11) plus 2 is M (13), and M (13) plus 2 is O (15).

Combining these gives the next term in the series as PO.

Explanation

The series progresses by applying separate arithmetic patterns to the uppercase first letters and lowercase second letters.

For the uppercase letters, the alphabetical positions increase by an incrementally larger number each time. The letter G is at position 7, J is at position 10 (an increase of 3), and N is at position 14 (an increase of 4). Continuing this pattern, the next increment must be 5, which brings the position to 19, corresponding to the letter S.

For the lowercase letters, the alphabetical positions decrease by an incrementally larger number each time. The letter w is at position 23, t is at position 20 (a decrease of 3), and p is at position 16 (a decrease of 4). Continuing this pattern, the next decrement must be 5, which brings the position to 11, corresponding to the letter k.

Combining these two results gives the term Sk.

Explanation

The given sequence increases by adding consecutive multiples of 5, starting from 10. The difference between consecutive terms is as follows:

27 - 17 = 10 42 - 27 = 15 62 - 42 = 20

The difference increases by 5 at each step. Therefore, the next difference in the sequence must be 20 + 5 = 25. Adding 25 to the last given term of 62 yields:

62 + 25 = 87

Explanation

Statement II explicitly mentions that religious rituals such as bending forward in a mosque or prostrating before God are great physical exercises because they involve stretching, squatting, bending, and rising. This directly supports Conclusion I, confirming that religion offers great scope for exercise.

Furthermore, Statement I establishes that incorporating rituals into a daily routine leads to positive changes in one's life. Since Statement II identifies these specific religious rituals as great physical exercises, practicing them daily as a routine will naturally lead to positive changes in the physical health of an individual. This validates Conclusion II. Therefore, both conclusions logically follow from the given statements.

Explanation

To find the day of the week for 17th October when 14th September is a Tuesday, we calculate the total number of days between these two dates.

September has 30 days, so the remaining days in September after the 14th are 30 - 14 = 16 days. The days in October up to the 17th are 17 days. The total number of days between the two dates is 16 + 17 = 33 days.

Dividing 33 by 7 to find the number of odd days gives a remainder of 5, since 33 = 4 × 7 + 5.

Adding 5 days to Tuesday (Tuesday + 5) results in Sunday.

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 He.

Comparing the third letter of each word: Heavy has a. Heredity and Herald have r. Hesitate has s.

Since a comes first alphabetically, Heavy (iii) is the first word in the sequence.

Since r comes before s, Hesitate (ii) must be the last word in the sequence.

To determine the order between Herald and Heredity, we compare their fourth letters: Herald has a. Heredity has e.

Since a comes before e, Herald (iv) comes before Heredity (i).

Combining these positions gives the sequence: Heavy (iii), Herald (iv), Heredity (i), and Hesitate (ii), which corresponds to the order iii, iv, i, ii.

Explanation

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

When the letters of the word MASTER are written in reverse order, it becomes RETSAM.

Applying this same logic to the word LITERACY, writing its letters in reverse order from last to first yields YCARETIL.

Explanation

By converting the letters in each column to their numerical positions in the English alphabet where A = 1, B = 2, up to Z = 26, the pattern follows the rule that the value of the letter in the first row minus the value of the letter in the second row equals the value of the letter in the third row.

In the first column, R (18) - D (4) = N (14).

In the second column, X (24) - V (22) = B (2).

Applying this subtraction rule to the third column: Row 1 - L (12) = F (6) Row 1 = 6 + 12 = 18

The 18th letter of the English alphabet is R.

Explanation

Replacing the code letters with their respective mathematical operators: B represents ÷ C represents × A represents + D represents -

Substituting these operators into the given expression: 76 ÷ 19 × 7 + 3 - 25

According to the BODMAS rule, operations are performed in the order of Division, Multiplication, Addition, and Subtraction.

First, perform the division: 76 ÷ 19 = 4

Next, perform the multiplication: 4 × 7 = 28

Next, perform the addition: 28 + 3 = 31

Finally, perform the subtraction: 31 - 25 = 6

Explanation

The given letter series consists of 12 positions and can be divided into two groups of six letters each: M_N_M_ | MR_R_N

Placing the letters from the set R R N N M sequentially into the five gaps completes the pattern as follows: M R N R M N | M R N R M N

This forms a repeating six-letter block of M R N R M N, which perfectly completes the series.

Explanation

The movement of Manish forms a right-angled triangle where the starting point is his house H, the point after moving 25 km south-east is A, and the final point after moving 7 km west is B.

Since the direction from B to A is due east and the direction from the house H to the final position B is due south, the angle between HB and AB is a right angle (90°).

Using the Pythagorean theorem in the right-angled triangle HBA: HA² = HB² + AB²

Substituting the given values: 25² = HB² + 7² 625 = HB² + 49 HB² = 625 - 49 HB² = 576 HB = √576 HB = 24 km

Explanation

To represent the word SNOW, we determine the row and column numbers for each alphabet sequentially.

For the letter S, row 5 and column 6 of Matrix-II intersect at S, which gives the digits 56.

For the letter N, row 0 and column 1 of Matrix-I intersect at N, which gives the digits 01.

For the letter O, row 5 and column 9 of Matrix-II intersect at O, which gives the digits 59.

For the letter W, row 2 and column 0 of Matrix-I intersect at W, which gives the digits 20.

Putting these coordinates together, we get the sequence 56, 01, 59, 20.

Explanation

Shyam is the grandfather of Rajendra's son. The grandfather of a person's son is either that person's own father or their father-in-law. This means Shyam is the father of Rajendra, making him the paternal grandfather of Rajendra's son.

Explanation

Entomology is the scientific study of insects. Similarly, seismology is the scientific study of earthquakes and the propagation of elastic waves through the Earth or other planet-like bodies. The relationship established is between a branch of science and its subject of study.

Explanation

The relationship between the terms is established by subtracting 6 from the alphabetical position of each letter in the first term to obtain the corresponding letter of the second term.

Z (26) - 6 = T (20) W (23) - 6 = Q (17) U (21) - 6 = O (15)

Applying this same rule to the term LIG:

L (12) - 6 = F (6) I (9) - 6 = C (3) G (7) - 6 = A (1)

This yields FCA.

Explanation

The first letter of the first pair increases by 7 positions in alphabetical order, while the second letter decreases by 7 positions. For the first term, E (5th letter) plus 7 equals L (12th letter), and V (22nd letter) minus 7 equals O (15th letter). Applying this same pattern to the third term, J (10th letter) plus 7 equals Q (17th letter), and Q (17th letter) minus 7 equals J (10th letter). This gives the letters QJ.

Explanation

The relationship between the numbers follows the mathematical pattern x : x² - x, which is equivalent to multiplying the number by its preceding integer, x(x - 1).

For the first pair: 12² - 12 = 144 - 12 = 132

Applying this relation to the second pair: 14² - 14 = 196 - 14 = 182

Explanation

Hyderabad is a city and a state capital, whereas the other options are Indian states. This makes it the odd one out among the choices.

Explanation

The letter group EOA is the odd one out because it is composed entirely of vowels, which are E, O, and A. In contrast, all the other letter groups in the options consist entirely of consonants, making EOA the only vowel-only combination among the alternatives.

Explanation

The numbers 51, 66, and 83 follow the pattern of adding 2 to the square of consecutive integers starting from 7.

7² + 2 = 51 8² + 2 = 66 9² + 2 = 83

Following this logic, the next term in the sequence should be 10² + 2 = 102. The number 93 does not fit this pattern of n² + 2, making it the odd one out.

Explanation

The number 177 is not divisible by 17, whereas all the other numbers are divisible by 17. Specifically, 153 is 17 × 9, 187 is 17 × 11, and 221 is 17 × 13.

Explanation

The given sequence lists the planets of our solar system in increasing order of their distance from the Sun. Mercury is the first planet, Venus is the second, Earth is the third, and Mars is the fourth planet from the Sun, completing the series.

Explanation

The given series consists of pairs of consecutive letters of the English alphabet. The first letter of each term is the same as the second letter of the previous term. Following this pattern, the term after EF must begin with F, and the consecutive letter following F in alphabetical order is G. This gives the term FG.

Explanation

Let us find the pattern by converting the letters to their respective numerical positions in the English alphabet, where A = 1, B = 2, and so on.

In the first group BDG, the positions are B(2), D(4), and G(7). The difference between the letters is B + 2 = D and D + 3 = G.

In the second group KMP, the positions are K(11), M(13), and P(16). The difference is K + 2 = M and M + 3 = P.

In the third group TVY, the positions are T(20), V(22), and Y(25). The difference is T + 2 = V and V + 3 = Y.

The connection between consecutive groups is +4 from the last letter of one group to the first letter of the next group: G(7) + 4 = K(11) P(16) + 4 = T(20)

Following the same logic, the first letter of the next term is Y(25) + 4 = 29. Since there are 26 letters in the alphabet, 29 corresponds to C (3).

Applying the inner-group pattern of +2 and +3 starting from C(3): C(3) + 2 = E(5) E(5) + 3 = H(8)

This yields the term CEH.

Explanation

The given series consists of consecutive prime numbers starting from 11. The prime numbers in order are 11, 13, 17, and 19. The next prime number immediately following 19 is 23, which completes the series.

Explanation

In logical reasoning, conclusions must be derived strictly from the provided statements without assuming external scientific facts. Statement I indicates that glaciers are receding and global temperatures are rising. Statement II notes that rising pollution levels are causing avalanches.

Conclusion I asserts that pollution is causing the rise in temperature. While this is a scientific fact in the real world, the given premises do not establish any link between pollution and temperature rise. Thus, conclusion I cannot be logically deduced from the statements.

Conclusion II states that pollution is the only reason for the depletion of nature. The premises do not mention the depletion of nature, nor do they support pollution being the sole cause of any environmental change. Absolute qualifiers like only are generally invalid unless explicitly supported by the statements. Consequently, conclusion II does not follow either.

Explanation

Based on the given statements, we can determine the relative heights of the five individuals. The first statement establishes that A is taller than B but smaller than E, which is represented as E > A > B. The second statement states that D is taller than A but smaller than E, giving the relation E > D > A. Combining these relations, both D and A are smaller than E. Since C is the smallest of all, the complete order from tallest to shortest is E > D > A > B > C, which places E at the top of the height hierarchy.

Explanation

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

Comparing the first letter of all words, each begins with T.

Comparing the second letter, Terrace, Tenant, and Tea have e, while Tomorrow has o. Since e comes before o in the alphabet, Tomorrow is placed last in the sequence.

Comparing the third letter of the remaining three words: In Tea, the third letter is a. In Tenant, the third letter is n. In Terrace, the third letter is r.

Arranging these letters alphabetically gives a, then n, and then r. Therefore, the alphabetical order is Tea (iii), followed by Tenant (ii), then Terrace (i), and finally Tomorrow (iv). This results in the sequence iii, ii, i, iv.

Explanation

The coding pattern involves reversing the first three letters of the word while keeping the remaining three letters in their original positions.

Applying this rule to NATURE: The first three letters NAT are reversed to TAN. The remaining three letters URE remain unchanged. This gives TANURE.

Applying the same rule to LISTEN: The first three letters LIS are reversed to SIL. The remaining three letters TEN remain unchanged. This gives SILTEN.

Explanation

Substitute the symbols according to the given instructions: "x" becomes "÷" "-" becomes "×" "+" becomes "-" "÷" becomes "+"

Rewriting the expression 96 x 12 - 4 + 13 ÷ 21 with these changes yields: 96 ÷ 12 × 4 - 13 + 21

According to the BODMAS rule, perform division first: 96 ÷ 12 = 8

Now perform multiplication: 8 × 4 = 32

Finally, perform addition and subtraction: 32 - 13 + 21 = 40

Explanation

Replacing the alphabetical codes with their respective mathematical operators: L denotes division (÷) S denotes multiplication (×) V denotes subtraction (-) M denotes addition (+)

Substituting these operators into the given expression: 44 ÷ 11 × 7 - 7 + 9

Applying the BODMAS rule: First, division is performed: 44 ÷ 11 = 4

Next, multiplication is performed: 4 × 7 = 28

Then, addition and subtraction are performed: 28 - 7 + 9 = 30

Explanation

The given letter series is formed by repeating the four-letter pattern edcb three times, which gives the complete twelve-letter sequence:

edcbedcbedcb

By comparing this completed sequence with the given series with gaps:

_d_be_c_ed_b

We can determine the missing letters in sequential order:

The first gap is filled by e. The second gap is filled by c. The third gap is filled by d. The fourth gap is filled by b. The fifth gap is filled by c.

Placing these letters in order yields the set ecdbc.

Explanation

Let the starting point be O. Ramesh first travels 30 m east to reach point A. From point A, turning right means he heads south, traveling 40 m to reach the final point B. This movement forms a right-angled triangle OAB, with OA = 30 m and AB = 40 m.

By applying the Pythagorean theorem, the straight-line distance from the initial point O to the final point B is calculated as: OB = √(OA² + AB²) OB = √(30² + 40²) OB = √(900 + 1600) OB = √2500 OB = 50 m

Regarding the direction, moving east and then south places the final point in the south-east direction relative to the initial point.

Explanation

To represent the word SAINT, we determine the code for each individual letter using the matrices by identifying the row number first, followed by the column number.

For S, looking at Matrix-I, row 0 and column 0 intersect at the letter S, giving the code 00.

For A, looking at Matrix-II, row 5 and column 6 intersect at the letter A, giving the code 56.

For I, looking at Matrix-I, row 2 and column 0 intersect at the letter I, giving the code 20.

For N, looking at Matrix-II, row 6 and column 8 intersect at the letter N, giving the code 68.

For T, looking at Matrix-II, row 7 and column 6 intersect at the letter T, giving the code 76.

Combining these values in sequence yields 00, 56, 20, 68, 76.

Explanation

Sumit's grandfather and the brother of Sumit's grandfather represent the same generation. The brother of Sumit's grandfather is the father of Hemant's father. This means Hemant's father and Sumit's father are first cousins, since their fathers are brothers. Since Hemant's father and Sumit's father are first cousins, their children, Hemant and Sumit, belong to the same generation and are second cousins. Thus, Sumit is the cousin of Hemant.

Explanation

The relationship in the analogy is between a biological pigment and the structure or fluid in which it is primarily found. Haemoglobin is the red iron-containing pigment present in blood. Similarly, chlorophyll is the green pigment present in a leaf, where it plays a vital role in absorbing light energy for photosynthesis.

Explanation

The relationship between the letters is based on their positions in the alphabetical order, where M is 13, P is 16, Q is 17, and R is 18.

By adding 3 to the numerical position of the first letter and subtracting 2 from the numerical position of the second letter of the first term, we obtain the second term: First letter: M + 3 = P (13 + 3 = 16) Second letter: P - 2 = N (16 - 2 = 14)

Applying this same pattern to QR: First letter: Q + 3 = T (17 + 3 = 20) Second letter: R - 2 = P (18 - 2 = 16)

This yields the letters TP.