SSC CHSL Tier 1 2015 General Intelligence & Reasoning Questions with Solutions

Explanation

Psychology is the odd word out because it is a multi-syllabic noun representing a specialized academic discipline and branch of science. The other words are simple, single-syllable, common everyday words representing general actions, attributes, or states of being.

Explanation

The sum of the digits of the number 8314 is 16 (8 + 3 + 1 + 4 = 16), which means it is not divisible by 9. For all other numbers in the alternatives, the sum of the digits is 18, which makes them perfectly divisible by 9.

Explanation

The entities represent geographic divisions of varying scales. Arranging them in a logical descending order of geographical area, from the largest territory to the smallest, begins with Asia, which is the continent. Within Asia lies India, which is the country. Within India is Karnataka, which is the state. Finally, within Karnataka is its capital city, Bangalore. This sequence of continent, country, state, and city gives the logical progression 3, 1, 4, 2.

Explanation

Converting the letters to their numerical positions in the English alphabet: Y = 25 T = 20 P = 16 ? = x K = 11

The difference between consecutive terms decreases successively by 1: 25 - 5 = 20 20 - 4 = 16 16 - 3 = 13 13 - 2 = 11

The numerical position 13 corresponds to the letter M.

Explanation

The sequence of differences between consecutive terms is a decreasing series of consecutive integers:

11 - 4 = 7 17 - 11 = 6 22 - 17 = 5

Following this arithmetic pattern, the subsequent differences must be 4, 3, 2, and 1. Adding 4 to the term 22 yields 26, which correctly continues the series as verified by the succeeding terms:

26 + 3 = 29 29 + 2 = 31 31 + 1 = 32

Explanation

The terms in the series follow the pattern n + √(n³) for consecutive integers starting from n = 6.

First term (n = 6): 6 + √(6³) = 6 + √216 Second term (n = 7): 7 + √(7³) = 7 + √343 Third term (n = 8): 8 + √(8³) = 8 + √512 Fourth term (n = 9): 9 + √(9³) = 9 + √729

Following this pattern, the fifth term for n = 10 is 10 + √(10³), which simplifies to 10 + √1000.

Explanation

The series follows a dual pattern for the first and second letters of each term.

For the first letter of each pair: A (1st letter) to C (3rd letter) increases by 2. C (3rd letter) to F (6th letter) increases by 3. Following this increment pattern, the next letter must increase by 4 from F (6 + 4 = 10), which corresponds to J.

For the second letter of each pair: Z (26th letter) to X (24th letter) decreases by 2. X (24th letter) to U (21st letter) decreases by 3. Following this decrement pattern, the next letter must decrease by 4 from U (21 - 4 = 17), which corresponds to Q.

Alternatively, each term consists of letters that are exact alphabetical opposites, where the sum of their numerical positions is always 27. Since J is the 10th letter and Q is the 17th letter, their sum is 27.

Explanation

Each row in the grid represents a geometric progression where every subsequent term is obtained by multiplying the previous term by a constant common ratio.

In the first row, the common ratio is 2, since 4 × 2 = 8, 8 × 2 = 16, and 16 × 2 = 32.

In the third row, the common ratio is 4, since 6 × 4 = 24, 24 × 4 = 96, and 96 × 4 = 384.

Following this pattern, the second row must have a common ratio of 3, as the ratio of the second term to the first term is 15 ÷ 5 = 3.

Applying this common ratio to find the missing term gives 15 × 3 = 45. This is verified by the next term, since 45 × 3 = 135.

Explanation

The grid of numbers follows a distinct logical relationship when comparing the differences between symmetrical row pairs, specifically Row 2 with Row 4, and Row 1 with Row 5.

For the row pair consisting of Row 2 (1, 3, 5) and Row 4 (3, 1, 9), the product of the differences in the first two columns equals the difference in the third column: (Row 2, Column 1 - Row 4, Column 1) × (Row 2, Column 2 - Row 4, Column 2) = Row 2, Column 3 - Row 4, Column 3

Substituting the given values: (1 - 3) × (3 - 1) = -2 × 2 = -4 Since 5 - 9 = -4, this mathematical relation is consistently satisfied.

Applying the exact same logic to the row pair consisting of Row 1 (8, 7, 4) and Row 5 (1, 7, ?): (Row 1, Column 1 - Row 5, Column 1) × (Row 1, Column 2 - Row 5, Column 2) = Row 1, Column 3 - Row 5, Column 3

Substituting the given values: (8 - 1) × (7 - 7) = 7 × 0 = 0

This means: 4 - ? = 0 ? = 4

Explanation

The standard formula to find the actual time from a mirror image is to subtract the given mirror image time from 11 hours and 60 minutes.

Actual Time = 11:60 - Mirror Image Time

Given the mirror image time is 3:15, the calculation is:

11:60 - 3:15 = 8:45

This is calculated by subtracting 15 minutes from 60 minutes to get 45 minutes, and subtracting 3 hours from 11 hours to get 8 hours.

Explanation

To find the correct position, we first arrange the eight friends clockwise starting with G at North: G (North), H (North-East), A (East), B (South-East), C (South), D (South-West), E (West), and F (North-West).

After G exchanges with C, C is at North and G is at South. After B exchanges with F, F is at South-East and B is at North-West.

Since they are sitting around a round table, they face the center by default. For F at South-East, the position to their right is East (counter-clockwise). Since A is at East and did not move, A is sitting to the right of F.

Explanation

The coding scheme follows an alternating pattern where letters at odd positions (1st, 3rd, and 5th) remain unchanged, while letters at even positions (2nd, 4th, and 6th) are advanced by one step in the alphabetical order.

Applying this logic to the word FATHER: F remains F (position 1) A becomes B (position 2) T remains T (position 3) H becomes I (position 4) E remains E (position 5) R becomes S (position 6)

Applying the same pattern to the word SISTER: S remains S (position 1) I becomes J (position 2) S remains S (position 3) T becomes U (position 4) E remains E (position 5) R becomes S (position 6)

This results in the coded word SJSUES.

Explanation

The letter positions of B, D, and E in alphabetical order are 2, 4, and 5, which represent sequential steps of +2 and +1. This pattern is different from the other letter groups, which all maintain a constant difference of +2 between successive letters.

Explanation

The letter group MONR contains a vowel, which is the letter O. All other groups are composed entirely of consonants.

Explanation

The word elope means to run away secretly in order to get married, typically without parental consent. Unlike the other words in the group, which are synonyms representing the action of lowering someone's dignity, status, or self-esteem, elope has an entirely different meaning and context, making it the odd word.

Explanation

The pair CD consists of consecutive alphabetical letters with a positional difference of 1. In contrast, the other pairs have a gap of one letter between them, representing a positional difference of 2.

Explanation

The President is the nominal and titular head of the state, representing a non-partisan constitutional office. This position is a neutral, ceremonial role that stands above active political administration and legislative functions.

Explanation

The number 56 is not a power of 2, unlike the other numbers which can be expressed in the form 2ⁿ. Specifically, 2 is equal to 2¹, 16 is equal to 2⁴, and 128 is equal to 2⁷.

Explanation

Googly is a type of delivery in cricket bowled by a leg-spin bowler, whereas swing, bouncer, and yorker are deliveries associated with fast bowlers.

Explanation

The number 65 is not a perfect square, whereas all the other numbers are perfect squares of integers. Specifically, 49 is 7², 36 is 6², and 100 is 10².

Explanation

The numbers follow a pattern where the first three digits are the square of the last two digits. This is seen in 26² = 676, 29² = 841, and 18² = 324. In the case of 47632, the square of the last two digits is 32² = 1024, which does not equal the first three digits 476.

Explanation

The coding pattern involves dividing the 12-letter word into four groups of three letters each, and then reversing the letters within each group.

For CONVENTIONAL: CON becomes NOC VEN becomes NEV TIO becomes OIT NAL becomes LAN This forms NOCNEVOITLAN.

Applying the same logic to ENTHRONEMENT: ENT becomes TNE HRO becomes ORH NEM becomes MEN ENT becomes TNE

Combining these reversed groups yields TNEORHMENTNE.

Explanation

The relationship in the analogy is based on an animal and the vehicle it pulls. A bullock is harnessed to pull a cart, commonly referred to as a bullock cart. Similarly, a horse is harnessed to pull a tonga, which is a light horse-drawn carriage used for transportation.

Explanation

A coil is an essential internal component of a motor that generates the electromagnetic field required for its rotation and operation. Similarly, a bearing is a fundamental internal component of a wheel that reduces friction and enables its smooth rotation. The relationship in both pairs is that of a mechanical assembly and its vital functional component.

Explanation

The relationship between the letters of the first pair is established by adding consecutive odd numbers to their alphabetical positions.

For CAT to DDY: C (3) + 1 = D (4) A (1) + 3 = D (4) T (20) + 5 = Y (25)

Applying the same rule to BIG: B (2) + 1 = C (3) I (9) + 3 = L (12) G (7) + 5 = L (12)

This yields CLL.

Explanation

The letters of the first word EAGLE are coded by shifting each letter forward by increasing positions: +1, +2, +3, +4, and +5.

Applying this operation: E + 1 = F A + 2 = C G + 3 = J L + 4 = P E + 5 = J

Applying the same logic to CRAWL gives: C + 1 = D R + 2 = T A + 3 = D W + 4 = A (W is the 23rd letter, and 23 + 4 = 27, which wraps around to the 1st letter, A) L + 5 = Q (L is the 12th letter, and 12 + 5 = 17, which is Q)

Explanation

The relationship between the letter groups is based on increasing the alphabetical positions of the letters by consecutive odd numbers: +1, +3, +5, and +7.

Applying this pattern to CEGI: C (3) + 1 = D (4) E (5) + 3 = H (8) G (7) + 5 = L (12) I (9) + 7 = P (16)

Applying the same logic to KSEA: K (11) + 1 = L (12) S (19) + 3 = V (22) E (5) + 5 = J (10) A (1) + 7 = H (8)

This yields the letters LVJH.

Explanation

The relationship between the numbers in each pair follows the mathematical pattern of x : x² + 3.

For the first term, applying this pattern yields: 4² + 3 = 16 + 3 = 19

Applying the same pattern to the second term: 7² + 3 = 49 + 3 = 52

Explanation

The relationship between the numbers in each pair is determined by the parity of their individual digits: Each even digit is divided by 2. Each odd digit is multiplied by 2.

Applying this rule to the first given pair (4863- 2436): 4 is even: 4 ÷ 2 = 2 8 is even: 8 ÷ 2 = 4 6 is even: 6 ÷ 2 = 3 3 is odd: 3 × 2 = 6 This results in 2436.

Applying this rule to the second given pair (8132- 4261): 8 is even: 8 ÷ 2 = 4 1 is odd: 1 × 2 = 2 3 is odd: 3 × 2 = 6 2 is even: 2 ÷ 2 = 1 This results in 4261.

Following the same logic for 8346: 8 is even: 8 ÷ 2 = 4 3 is odd: 3 × 2 = 6 4 is even: 4 ÷ 2 = 2 6 is even: 6 ÷ 2 = 3 This results in 4623, forming the related pair 8346- 4623.

Explanation

The relationship is based on the sum of the digits of the numbers.

In the first pair 556 : 186: Sum of the digits of 556 = 5 + 5 + 6 = 16 Sum of the digits of 186 = 1 + 8 + 6 = 15 The difference between the two digit sums is 16 - 15 = 1.

Applying the same logic to the next pair 951 : ?: Sum of the digits of 951 = 9 + 5 + 1 = 15 The sum of the digits of the missing number must be 15 - 1 = 14.

For the number 176, the sum of the digits is 1 + 7 + 6 = 14.

Explanation

Let A and B represent the present ages of A and B. Since A was twice as old as B two years ago, A is the older individual. The difference in their ages remains constant over time, which gives: A - B = 2 B = A - 2

Two years ago, A's age was A - 2 and B's age was B - 2. According to the problem, A's age at that time was twice B's age: A - 2 = 2 × (B - 2)

Substituting B = A - 2 into this equation: A - 2 = 2 × (A - 2 - 2) A - 2 = 2 × (A - 4) A - 2 = 2A - 8 2A - A = 8 - 2 A = 6

Explanation

The relationship between the numbers in each column is that the sum of the squares of the first three numbers equals the fourth number at the bottom.

In the first column: 3² + 2² + 1² = 9 + 4 + 1 = 14

In the second column: 4² + 3² + 2² = 16 + 9 + 4 = 29

Applying this same logic to the third column: 5² + 4² + 3² = 25 + 16 + 9 = 50

Explanation

The given grid forms a magic square where the sum of the numbers in each row, column, and diagonal is equal to a constant value of 342.

By substituting the values 111, 114, and 117 into the respective missing positions, we get:

First row: 113 + 118 + 111 = 342 Second row: 112 + 114 + 116 = 342 Third row: 117 + 110 + 115 = 342

First column: 113 + 112 + 117 = 342 Second column: 118 + 114 + 110 = 342 Third column: 111 + 116 + 115 = 342

Main diagonal: 113 + 114 + 115 = 342 Opposite diagonal: 111 + 114 + 117 = 342

These values satisfy all the summation conditions perfectly.

Explanation

The mapping of the digits 0 to 9 to the letters a to j is: a = 0 b = 1 c = 2 d = 3 e = 4 f = 5 g = 6 h = 7 i = 8 j = 9

Using this mapping, the letter combinations in the expression represent positional multi-digit numbers: dc corresponds to the two-digit number 32. f is 5. bf corresponds to the two-digit number 15. d is 3.

Substituting these values into the given expression: dc × f - (bf - d) × d = 32 × 5 - (15 - 3) × 3 = 160 - 12 × 3 = 160 - 36 = 124

Converting the digits of the result 124 back to their corresponding letters: 1 is represented by b 2 is represented by c 4 is represented by e

Thus, the numerical result 124 is written as bce.

Explanation

Let the starting point of Suresh be represented as the origin (0, 0) on a coordinate plane, where the positive x-axis represents East, the negative x-axis represents West, the positive y-axis represents North, and the negative y-axis represents South.

Suresh first walks 7 km East, reaching the point (7, 0).

He then turns to his left, which points towards the North direction, and walks 4 km, reaching the point (7, 4).

Next, he turns to his right, pointing East again, and walks 5 km, reaching the point (7 + 5, 4) or (12, 4).

Finally, he turns to his right, which points towards the South direction, and walks 4 km. This brings his vertical coordinate down by 4, ending at the point (12, 4 - 4) or (12, 0).

Since his final coordinates are (12, 0), he lies directly on the positive x-axis relative to his starting point (0, 0), which corresponds to the East direction.

Explanation

The word STORY contains the letters O and R, which are not present in the word SYNTHESIS.

Explanation

The word POLLUTE contains the letter O and two Ls, whereas the given word MANIPULATE does not contain the letter O and has only a single L. Therefore, the word POLLUTE cannot be formed from the letters of MANIPULATE.

Explanation

The given items can be arranged in a logical sequence based on their physical size, progressing from the smallest to the largest. Sand represents the finest particles, followed by stones, which are small fragments of rock. A rock is a larger, solid mineral mass. A boulder is a very large, massive piece of rock, and a hill is a major geological landform that consists of these materials, representing the largest entity in the group. This ascending order of size yields the sequence Sand (2), Stone (1), Rock (3), Boulder (4), and Hill (5).

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 five words share the common six-letter prefix Electr.

Comparing the seventh letter: For Electrician (3) and Electrification (5), the seventh letter is i, which alphabetically precedes o. Comparing the eighth letter of these two, c in Electrician (3) comes before f in Electrification (5), placing 3 before 5.

For the remaining three words, the seventh letter is o: Electrolysis (1), Electrotyping (2), and Electroplating (4). Comparing their eighth letters, l in Electrolysis (1) comes before p in Electroplating (4), which comes before t in Electrotyping (2), placing them in the order of 1, 4, 2.

Combining these sequences yields the complete dictionary order as 3, 5, 1, 4, 2.

Explanation

All four words begin with the letters Ya. Comparing their third letters, Yacht has c, Yashmak has s, and both Yawl and Yawn have w. Since c comes before s, and s comes before w, Yacht (2) is sorted first, followed by Yashmak (1). To determine the order between Yawl (3) and Yawn (4), their fourth letters are compared. Since l comes before n alphabetically, Yawl comes before Yawn.

Explanation

The given letter series is: aac _ bba _ cc _ baa _ cb _

By sequentially inserting the letters from the set cabcb into the gaps: 1st gap: c 2nd gap: a 3rd gap: b 4th gap: c 5th gap: b

The completed sequence becomes: aaccbbaaccbbaaccbb

Dividing this continuous sequence into groups of three letters reveals a repeating pattern of alternating three-letter blocks, namely "aac" and "cbb": aac cbb aac cbb aac cbb

Explanation

The given sequence is an arithmetic progression where each successive term is obtained by adding a constant value of 5 to the preceding term.

The differences between the consecutive terms are: 13 - 8 = 5 18 - 13 = 5 23 - 18 = 5

Following this consistent pattern, the missing term is calculated by adding 5 to the fourth term: 23 + 5 = 28

Adding 5 to 28 gives 33, which perfectly matches the next term in the series.

Explanation

The difference between consecutive terms of the series follows a specific pattern based on the squares of consecutive integers minus one:

1004 - 1001 = 3 = 2² - 1 1012 - 1004 = 8 = 3² - 1 1027 - 1012 = 15 = 4² - 1

Following this pattern, the difference for the next term must be:

5² - 1 = 24

Adding this difference to the last term of the series gives the missing number:

1027 + 24 = 1051

Explanation

The given series is composed of groups of three consecutive alphabetical letters:

HIJ consists of the consecutive letters H, I, and J.

PQR consists of the consecutive letters P, Q, and R.

DEF consists of the consecutive letters D, E, and F.

The last group consists of ?, V, and W. To maintain the pattern of three consecutive letters, the letter preceding V and W must be U, forming the triplet UVW.

Explanation

The terms in the series are obtained by shifting the letters of the previous term forward by 4 positions in the alphabetical order.

The first letter of each term increases by 4 positions: A (1) + 4 = E (5) E (5) + 4 = I (9) I (9) + 4 = M (13)

The second letter of each term also increases by 4 positions: C (3) + 4 = G (7) G (7) + 4 = K (11) K (11) + 4 = O (15)

Explanation

The terms in the series follow a pattern based on consecutive odd numbers squared minus 1, starting from 3:

3² - 1 = 9 - 1 = 8 5² - 1 = 25 - 1 = 24 7² - 1 = 49 - 1 = 48 9² - 1 = 81 - 1 = 80 11² - 1 = 121 - 1 = 120

Alternatively, the difference between consecutive terms increases by a constant of 8:

24 - 8 = 16 48 - 24 = 24 80 - 48 = 32 120 - 80 = 40

Since the differences 16, 24, 32, and 40 increase by 8 each time, the missing term is 48.

Explanation

By combining the two statements, we can logically deduce the properties of a square. Statement I establishes that any regular polygon has both equal sides and equal angles. Statement II states that a square is a regular polygon. Since the square belongs to the category of regular polygons, it must inherit all the properties of a regular polygon. Therefore, it must have equal sides and equal angles, which means both Conclusion I and Conclusion II logically follow from the given premises.

Explanation

Assumption I is not implicit because a request for students to take their seats before 10 a.m. is made to maintain discipline and order. It does not mean or imply that the function cannot start or will be cancelled if a student is not seated on time.

Assumption II is also not implicit because the given statements merely announce a scheduled time and request preparation. They do not guarantee or assume that the event will strictly start on time without any unforeseen delays, adjustments, or administrative changes.

Explanation

Let the profit of Akash be 100. Since Alok gains 75% more profit than Akash, the profit of Alok is: 100 + 75 = 175

To find by what percentage the profit of Akash is less than that of Alok, the formula is: Percentage less = (Difference / Alok's profit) × 100

Substituting the values: Percentage less = ((175 - 100) / 175) × 100 Percentage less = (75 / 175) × 100 Percentage less = (3 / 7) × 100 Percentage less ≈ 42.85%

Explanation

The given symbols are defined as follows: The symbol # means < The symbol O or 0 means > The blank or square symbol means =

Using these definitions, the expression a 0 b # c d translates to: a > b < c = d

From this expression, we have the relations b < c and c = d. Substituting d for c in the first relation yields: b < d

Since the symbol # represents <, this conclusion is represented as: b # d