SSC CHSL Tier 1 2010 General Intelligence & Reasoning Questions with Solutions

Explanation

A and B are brothers, meaning both are male siblings. F is the wife of B, and E is the daughter of F. Since F and B are married, E is the daughter of B. The daughter of one's brother is defined as a niece. Because A is the brother of E's father B, E is the niece of A.

Explanation

To find the rank of a person from the last, the standard ranking formula is:

Rank from the last = Total students - Rank from the start + 1

Substituting the given values into the formula:

Rank from the last = 31 - 17 + 1 = 15

Explanation

If the day before yesterday was Thursday, then yesterday was Friday and today is Saturday. Since Sunday is the day immediately following Saturday, Sunday will be tomorrow.

Explanation

Raju starts by facing North and walking 30 metres ahead, which keeps him heading North. He then turns left, which changes his heading to West, and walks 15 metres. From this Westward heading, he makes a right turn, which redirects him back to North, and walks for 50 metres. Finally, he turns to his right from North, which points him towards the East. Thus, his final walking direction is East.

Explanation

The number of unpainted smaller cubes inside a larger n × n × n cube painted on all six outer faces is determined by the formula (n - 2)³.

In this case, the larger cube has a side length of 3 inches and the smaller cubes have a side length of 1 inch, giving n = 3.

Substituting this value into the formula: Unpainted cubes = (3 - 2)³ = 1³ = 1

This single unpainted cube is the central core cube that is completely insulated from all outer surfaces by the surrounding layer of outer cubes.

Explanation

By analyzing the relative positions of the girls from the given statements, we can determine their exact seating arrangement from left to right.

First, P is to the left of M and to the right of O, which gives the order: O, P, M.

Second, R is sitting to the right of N, but to the left of O, which gives the order: N, R, O.

Combining these two sequences yields the complete linear arrangement: N, R, O, P, M.

In this sequence of five girls, O occupies the third position, which is exactly in the middle.

Explanation

The coding scheme assigns a numerical value to each letter based on its position in the English alphabet, where A = 1, B = 2, C = 3, and so on up to Z = 26. The code for a word is the sum of the positional values of its individual letters.

Applying this rule:

For A: A = 1

For AND: A + N + D = 1 + 14 + 4 = 19

For BAT: B + A + T = 2 + 1 + 20 = 23

Explanation

The coding scheme replaces each letter with its corresponding opposite letter in the English alphabet, where the sum of the positions of the original letter and its coded letter from the beginning of the alphabet is 27.

For STAG: S (19th letter) changes to H (8th letter, since 19 + 8 = 27) T (20th letter) changes to G (7th letter, since 20 + 7 = 27) A (1st letter) changes to Z (26th letter, since 1 + 26 = 27) G (7th letter) changes to T (20th letter, since 7 + 20 = 27)

Applying this same opposite letter pattern to the word NORTH: N (14th letter) becomes M (13th letter) O (15th letter) becomes L (12th letter) R (18th letter) becomes I (9th letter) T (20th letter) becomes G (7th letter) H (8th letter) becomes S (19th letter)

This results in the coded word MLIGS.

Explanation

The word TRUST cannot be formed from the letters of TRANSPORT because it contains the letter U, which is not present in the word TRANSPORT.

Explanation

The premises establish that both dogs and tables belong to the larger category of entities that have four legs. However, sharing a common characteristic or being part of the same broader class does not imply any logical relationship or overlap between the two distinct subcategories themselves. Because the set of dogs and the set of tables are independent subsets within the larger group of four-legged entities, it is logically invalid to deduce that tables are dogs or that dogs are tables. Consequently, neither conclusion I nor conclusion II follows from the given statements.

Explanation

Since all animals are birds, the set of animals is a subset of the set of birds. The statement that some animals are human beings means there is a non-empty intersection between the set of animals and the set of human beings. Since the entire set of animals is contained within the set of birds, the overlapping region between animals and human beings is also automatically contained within the set of birds. This guarantees a mutual overlap between human beings and birds, which means some human beings are birds (Conclusion I) and some birds are human beings (Conclusion II). Therefore, both conclusions follow.

Explanation

According to the given definitions, the mathematical operations are substituted as follows: Minus (-) represents division (÷) Plus (+) represents multiplication (×) Division (÷) represents subtraction (-) Multiplication (×) represents addition (+)

Substituting these symbols into the expression: 24 - 12 + 12 ÷ 16 × 18 = 26

We get: 24 ÷ 12 × 12 - 16 + 18

Applying the BODMAS order of operations: First, perform the division: 24 ÷ 12 = 2

Next, perform the multiplication: 2 × 12 = 24

Finally, perform the addition and subtraction: 24 - 16 + 18 = 8 + 18 = 26

This matches the right-hand side of the equation.

Explanation

The complete equation to be balanced is 7 5 5 4 10. By replacing the * signs sequentially with the mathematical operators from Option C (×, +, =, ×), we obtain the following expression:

7 × 5 + 5 = 4 × 10

Evaluating both sides of the equation according to the order of operations:

LHS: 7 × 5 + 5 = 35 + 5 = 40

RHS: 4 × 10 = 40

Since LHS = RHS = 40, the equation is balanced.

Explanation

The relationship between the numbers is determined by finding the average (arithmetic mean) of the two given numbers in each equation.

For the first equation: (34 + 12) ÷ 2 = 46 ÷ 2 = 23

For the second equation: (28 + 76) ÷ 2 = 104 ÷ 2 = 52

For the third equation: (97 + 39) ÷ 2 = 136 ÷ 2 = 68

Following this identical logic for the final pair: (37 + 73) ÷ 2 = 110 ÷ 2 = 55

Explanation

The relationship established in the first pair is between a professional service provider and the recipient of that service; a doctor diagnoses, treats, and provides medical advice to a patient. In the exact same manner, a lawyer provides professional legal advice, representation, and services to a client.

Explanation

The analogy is based on a cause-and-effect relationship where the second term is the cause and the first term is its emotional or psychological outcome. Achieving victory leads to a feeling of encouragement, just as experiencing failure leads to a feeling of frustration.

Explanation

The relationship in the first pair is based on classification and characteristic physical features, as a dog is a canine animal. Similarly, a horse is classified as a hoofed animal, characterized by having a hoof.

Explanation

The first word UNDATED is split into two parts: the first three letters UND and the remaining four letters ATED. Reversing their positions gives ATED followed by UND, which forms ATEDUND.

Applying the same pattern to CORRECT, we split the word into the first three letters COR and the remaining four letters RECT. Reversing their order gives RECT followed by COR, which forms RECTCOR.

Explanation

The pattern between the first two terms is based on a progressive increment in alphabetical position (+1, +2, +2, +4):

A + 1 = B E + 2 = G H + 3 = K N + 4 = R

Applying this same logic to DFGN:

D + 1 = E F + 2 = H G + 2 = I N + 4 = R

This yields the related letters EHIR.

Explanation

Each letter in the first term is shifted forward by two positions in the English alphabetical order to obtain the corresponding letter of the second term.

N + 2 = P J + 2 = L M + 2 = O P + 2 = R

Applying the same pattern to the third term:

R + 2 = T T + 2 = V V + 2 = X X + 2 = Z

Explanation

The relationship between the numbers in each pair is based on the product of the digits of the first number.

For the first pair, multiplying the digits of 365 gives: 3 × 6 × 5 = 90

Applying the same rule to the second pair, multiplying the digits of 623 gives: 6 × 2 × 3 = 36

Explanation

The logic of the analogy is that the first two digits of the three-digit number are divided by the third digit to obtain the second term of the ratio.

For the first pair 248:3: 24 ÷ 8 = 3

Applying the same logic to the second pair 328:?: 32 ÷ 8 = 4

Explanation

The relation between the first two numbers is established by finding their difference: 436 - 212 = 224

Applying the same difference to the third number: 560 + 224 = 784

Explanation

June has 30 days, whereas January, July, and August all have 31 days.

Explanation

Sphere is a three-dimensional solid shape, whereas the other options represent two-dimensional flat plane geometric shapes. This difference in dimensions distinguishes it from the rest of the group.

Explanation

Bronze is a metal alloy composed primarily of copper combined with tin, whereas the other materials are pure, naturally occurring chemical elements.

Explanation

The letter groups in the other options follow a specific pattern of alphabetical position increments between consecutive letters, which is +0, +1, +2, +1, +0. For instance, the sequence of increments is first letter to second (+0), second to third (+1), third to fourth (+2), fourth to fifth (+1), and fifth to sixth (+0).

In the letter group mmnopp, the alphabetical positions of the letters are m (13), m (13), n (14), o (15), p (16), and p (16). The increments between these consecutive letters are +0, +1, +1, +1, +0. Since the transition from the third letter to the fourth letter (n to o) is an increment of +1 instead of +2, this group violates the established pattern and is the odd one out.

Explanation

In GFTV, the first two letters G and F have positional values of 7 and 6, showing a difference of -1. However, the last two letters T and V have positional values of 20 and 22, which shows a difference of +2 instead of +1. Additionally, while G and T are reverse opposite pairs with a positional sum of 27, the letters F and V are not reverse opposites because the opposite of F is U (position 21), not V (position 22).

Explanation

The number 27 is a perfect cube, as 3³ = 27. The other numbers in the group are not perfect cubes of any integer.

Explanation

The pair (14,42) is the odd one because the second number is exactly three times the first number, following the relationship y = 3x. All other pairs follow the relationship y = 3x + 1, where the second number is one more than thrice the first number.

Explanation

The letter group DKQVZQ consists entirely of consonants and contains no vowels, whereas all the other groups contain at least one vowel.

Explanation

The numbers 119, 85, and 51 are all multiples of 17: 119 = 17 × 7 85 = 17 × 5 51 = 17 × 3

The number 154 is not divisible by 17.

Explanation

The given series of sixteen characters can be divided into four groups of four letters each: a_b_ / abb_ / ab_a / _bba

By placing the letters of option C (b, a, a, b, a) sequentially in the five empty spaces: First gap: b Second gap: a Third gap: a Fourth gap: b Fifth gap: a

The sequence becomes: abba / abba / abba / abba

This completes the series by repeating the four-letter pattern abba four times.

Explanation

In each column of the grid, the number in the third row is obtained by multiplying the numbers in the first and second rows and then subtracting the sum of the second row number and 1.

The formula for each column is: First Row × Second Row - (Second Row + 1) = Third Row

Applying this formula to each column:

For the first column: 5 × 6 - (6 + 1) = 30 - 7 = 23

For the second column: 4 × 5 - (5 + 1) = 20 - 6 = 14

For the third column: 3 × 4 - (4 + 1) = 12 - 5 = 7

Explanation

The total number of small cubes making up the larger cube is n³ = 64, which gives the number of cubes along each edge as n = 4.

The small cubes with exactly two sides visible are located along the 12 edges of the larger cube, excluding the corner cubes (which have three sides visible). The standard formula to find the number of such cubes is:

Number of cubes with 2 sides visible = 12 × (n - 2)

Substituting n = 4 into this relation:

12 × (4 - 2) = 12 × 2 = 24

Explanation

The hours 1 to 24 are represented by the letters of the English alphabet in order, starting with c. Since c is the 3rd letter of the alphabet, the correspondence between any hour H and the position of its representing letter in the standard alphabet (where A = 1, B = 2, C = 3, and so on) is given by the relation H + 2.

For H = 16 hours, the representing letter corresponds to the position 16 + 2 = 18. The 18th letter of the English alphabet is R.

Explanation

The letters of the word FISH can be identified in the given matrices by looking up their row numbers first and then their column numbers.

The letter F is located at the intersection of row 3 and column 3 (33) in Matrix I. The letter I is located at the intersection of row 8 and column 6 (86) in Matrix II. The letter S is located at the intersection of row 8 and column 8 (88) in Matrix II. The letter H is located at the intersection of row 4 and column 1 (41) in Matrix I.

Combining these coordinates gives the sequence 33, 86, 88, 41.

Explanation

The relationship in the first pair represents a young offspring and its adult form, as a tadpole grows and develops into a frog. Applying the same logic, a cub is the young offspring that grows into a lion.

Explanation

The logic of the analogy is that the letters of the first word are written in completely reversed order to form the second word. Reversing the letters of CHAIR from right to left yields RIAHC. Applying this exact reversal process to the letters of TABLE yields ELBAT.

Explanation

The relationship between the first two terms is based on adding consecutive odd numbers to the alphabetical positions of the letters.

The positional values of the letters in LKJ are L = 12, K = 11, and J = 10. Adding +1, +3, and +5 to these positions respectively yields 13, 14, and 15, which correspond to the letters M, N, and O, forming MNO.

Applying the same pattern to DCB, where the positional values are D = 4, C = 3, and B = 2: 4 + 1 = 5 (E) 3 + 3 = 6 (F) 2 + 5 = 7 (G)

This yields the letters EFG.

Explanation

The letters of the second term are the opposite pairs of the first term written in reverse order. In the English alphabet, opposite pairs of letters have position values that sum to 27.

For ABCD, the opposite letters are Z, Y, X, and W respectively. Reversing their order gives WXYZ.

Applying the same rule to EFGH, the opposite letters of E (5), F (6), G (7), and H (8) are V (22), U (21), T (20), and S (19) respectively. Reversing the order of these opposite letters (V, U, T, S) yields STUV.

Explanation

The relationship followed in the analogy is x : x² - 1.

For the first pair, when x = 7: 7² - 1 = 49 - 1 = 48

Applying the same pattern to the second pair with x = 12: 12² - 1 = 144 - 1 = 143

Explanation

The relationship in the first pair is obtained by taking the sum of the digits of the first number and multiplying it by 2.

For 72: (7 + 2) × 2 = 9 × 2 = 18

Applying the same logic to 56: (5 + 6) × 2 = 11 × 2 = 22

Explanation

The logic behind this analogy is that the sum of the two numbers in each pair forms consecutive perfect cubes.

For the first pair, the sum of 6 and 21 is: 6 + 21 = 27 = 3³

Following this pattern for the second pair, the sum of 3 and the missing number must equal the next consecutive perfect cube, which is 64 (4³): 3 + x = 64 x = 64 - 3 = 61

Explanation

The analogy represents the relationship between a primary raw material and the professional who works with it. A mason is a skilled worker who builds structures using bricks as the fundamental material. In the same manner, a painter is a professional or artist whose primary medium and material of work is colour.

Explanation

The relationship between the words in the first pair is that of an activity and its primary outcome or purpose. Sleep is an activity undertaken to get rest, and similarly, play is an activity undertaken to derive enjoyment.

Explanation

First, the sum of the digits for all the given numbers is 10: 0 + 6 + 4 = 10 2 + 0 + 8 = 10 3 + 1 + 6 = 10 1 + 1 + 8 = 10

Among these numbers, 064 represents 64, which is the only perfect square (8² = 64) and perfect cube (4³ = 64) in the group. Additionally, it is mathematically a two-digit number, whereas the other options are three-digit numbers.

Explanation

Litre is a metric unit of volume, which is used to measure capacity. Unlike the other terms which are units used to measure length or distance, it represents a measure of three-dimensional space.

Explanation

The number 36 is a perfect square, as 6² = 36, whereas the other numbers are not perfect squares.

Explanation

April is the only month among the options that contains 30 days, whereas the other specified months all have 31 days.