SSC CHSL Tier 1 2013 General Intelligence & Reasoning Questions with Solutions

Explanation

Jamal is born on February 29, 1988. His birthdays can only be celebrated on February 29 during leap years, which occur every four years. The year of birth itself is the day he is born, so it does not count as a birthday celebration. The subsequent leap years up to 2004 are 1992, 1996, 2000, and 2004. The year 2000 is a leap year because century years must be divisible by 400 to be leap years. This gives a total of 4 birthdays celebrated on February 29 up to the year 2004.

Explanation

Combining the age relations given in the problem allows us to establish the exact order from oldest to youngest.

From the first two statements, Ram is elder than Lakshman, who is elder than Shyam, giving the relation: Ram > Lakshman > Shyam.

Next, Shyam is elder than Hari, which extends the relation to: Ram > Lakshman > Shyam > Hari.

Finally, Hanuman is younger than both Hari and Shyam, placing him at the very end of the sequence: Ram > Lakshman > Shyam > Hari > Hanuman.

This sequence establishes Hanuman as the youngest among all the individuals.

Explanation

Let Raju's present age be R and his grandfather's present age be G.

According to the given conditions, their present age difference is: G - R = 65

After 10 years, the sum of their ages will be 95: (R + 10) + (G + 10) = 95 R + G + 20 = 95 R + G = 75

We can solve this system of linear equations by adding them together: (G - R) + (R + G) = 65 + 75 2G = 140 G = 70

Using this value to find Raju's age: R + 70 = 75 R = 5

Explanation

In the given letter series, we need to find the number of times the letter L occurs between the letters T and Y, which corresponds to the sequence TLY.

Analyzing the series step-by-step to identify each L and its surrounding letters:

In B T L Y, the letter L is between T and Y. This is the 1st occurrence.

In F L Y, the letter L is between F and Y.

In T L Y, the letter L is between T and Y. This is the 2nd occurrence.

In Y L Y, the letter L is between Y and Y.

In T L I, the letter L is between T and I.

In I L Y, the letter L is between I and Y.

In T L Y, the letter L is between T and Y. This is the 3rd occurrence.

There are exactly 3 instances where the letter L is positioned between T and Y.

Explanation

The numerical value representing each word is obtained by summing the positional values of its individual letters in the standard English alphabetical order.

For A: A = 1

For BAD: B = 2, A = 1, D = 4 Sum = 2 + 1 + 4 = 7

For HAT: H = 8, A = 1, T = 20 Sum = 8 + 1 + 20 = 29

Explanation

By comparing the letters in the given words with their corresponding numeric codes, we can determine the unique digit representation for each letter.

From FAITH (82731) and HABIT (12573), we get: F corresponds to 8 A corresponds to 2 I corresponds to 7 T corresponds to 3 H corresponds to 1 B corresponds to 5

From HEALTH (192431), we confirm: H corresponds to 1 E corresponds to 9 A corresponds to 2 L corresponds to 4 T corresponds to 3

Using this letter-to-digit mapping for the word BELIEF: B corresponds to 5 E corresponds to 9 L corresponds to 4 I corresponds to 7 E corresponds to 9 F corresponds to 8

Combining these digits in order, BELIEF is coded as 594798.

Explanation

The coding scheme is based on alternating letters from the end and the beginning of the word. Specifically, for an 8-letter word, the letters are rearranged using their original positions in the following order: 8, 1, 7, 2, 6, 3, 5, 4.

Applying this pattern to the word NATIONAL: The 8th letter L comes first, followed by the 1st letter N, then the 7th letter A, the 2nd letter A, the 6th letter N, the 3rd letter T, the 5th letter O, and finally the 4th letter I. This forms the coded word LNAANTOI.

Applying the exact same positional pattern of 8, 1, 7, 2, 6, 3, 5, 4 to the word DOMESTIC: The 8th letter is C. The 1st letter is D. The 7th letter is I. The 2nd letter is O. The 6th letter is T. The 3rd letter is M. The 5th letter is S. The 4th letter is E.

Arranging these letters in order results in CDIOTMSE.

Explanation

The total number of students in a class when the rank of a single person is given from both ends is calculated using the formula:

Total = (Rank from top) + (Rank from bottom) - 1

Substituting the given values:

Total = 17 + 28 - 1 = 44

The value 1 is subtracted because Karthik is counted twice—once when counting from the top and once when counting from the bottom.

Explanation

Vikash's mother's husband is Vikash's father. Because Vikash has no brothers or sisters, he is the only child of his parents. Consequently, any grandson of Vikash's father must be Vikash's own son.

Explanation

The word GARBAGE contains two Gs, whereas the given word BANGALORE contains only one G. Therefore, the word GARBAGE cannot be formed using the letters of the word BANGALORE.

Explanation

The total number of people is 1865. Since 120 people cannot speak either English or Marathi, the number of people who can speak at least one of the two languages is: 1865 - 120 = 1745

Let E represent the set of English speakers and M represent the set of Marathi speakers. The number of English speakers is n(E) = 660, and the number of Marathi speakers is n(M) = 1305. The number of people who speak at least one of the languages is represented as n(E ∪ M) = 1745.

Using the principle of inclusion-exclusion: n(E ∪ M) = n(E) + n(M) - n(E ∩ M)

Substituting the values into the formula: 1745 = 660 + 1305 - n(E ∩ M) 1745 = 1965 - n(E ∩ M) n(E ∩ M) = 1965 - 1745 n(E ∩ M) = 220

Explanation

The given table provides the unique code for each letter and number. Substituting the corresponding letter for each digit in the sequence 6 3 0 8 2 5: the number 6 corresponds to B, 3 corresponds to J, 0 corresponds to U, 8 corresponds to W, 2 corresponds to Q, and 5 corresponds to E. Combining these letters in the given order yields BJUWQE.

Explanation

The word BANAL can be formed from the letters of ABOMINABLE because all of its constituent letters are present in the parent word in sufficient quantities. The word ABOMINABLE contains two As, two Bs, one O, one M, one I, one N, one L, and one E. Since BANAL requires two As, one B, one N, and one L, it can be fully constructed using the letters available.

Explanation

The pattern of the equation is based on rearranging the digits in the product format. For any expression in the form a × b × c, the digits are rearranged to form the three-digit number bca.

Applying this rule to each equation: For 6 × 4 × 5, the digits are a = 6, b = 4, and c = 5, which are rearranged to form 456. For 3 × 2 × 8, the digits are a = 3, b = 2, and c = 8, which are rearranged to form 283. For 4 × 9 × 3, the digits are a = 4, b = 9, and c = 3, which are rearranged to form 934.

Explanation

The logic of the equation is that the first two digits of the three-digit number are multiplied together, and then the third digit is added to this product to obtain the final result.

Applying this pattern to the first number: (2 × 2) + 8 = 4 + 8 = 12

Applying this pattern to the second number: (3 × 3) + 7 = 9 + 7 = 16

Applying the same pattern to find the value of 569: (5 × 6) + 9 = 30 + 9 = 39

Explanation

The pattern in each row is determined by multiplying the first number and the third number to obtain the middle number.

First number × Third number = Middle number

In the first row: 4 × 5 = 20 In the third row: 9 × 5 = 45

Applying the same pattern to the second row: 5 × 6 = 30

Explanation

The pattern in each column follows the relation: (Row 1 × Row 2) + Row 3 = Row 4

For the first column: (11 × 4) + 5 = 44 + 5 = 49

For the second column: (20 × 3) + 3 = 60 + 3 = 63

For the third column: (35 × 2) + 2 = 70 + 2 = 72

Explanation

An analysis of the alphabetical positions of the letters in each group reveals a consistent internal pattern where each successive letter is obtained by adding 2:

For MOQS: M (13) + 2 = O (15) O (15) + 2 = Q (17) Q (17) + 2 = S (19)

For ACEG: A (1) + 2 = C (3) C (3) + 2 = E (5) E (5) + 2 = G (7)

For PRTV: P (16) + 2 = R (18) R (18) + 2 = T (20) T (20) + 2 = V (22)

Following this same progressional difference of +2, the missing group must have letters that are sequentially 2 positions apart:

For OQSU: O (15) + 2 = Q (17) Q (17) + 2 = S (19) S (19) + 2 = U (21)

Explanation

The relationship between the first pair of numbers can be determined by representing each number as a perfect square.

36 = 6² 144 = 12² = (2 × 6)²

Following the same logic for the second pair:

49 = 7² (2 × 7)² = 14² = 196

Alternatively, the second number in the ratio is four times the first number:

36 × 4 = 144 49 × 4 = 196

Explanation

The relationship in the given analogy is based on the product of the individual digits of the first number to obtain the second number.

For the first pair: 7 × 6 = 42

Following the same logic for 66: 6 × 6 = 36

Explanation

The relationship in the first pair is based on the primary action associated with the object, where a picture is something we see. Applying the same logic to the second pair, a book is something we read. Therefore, read is the corresponding action for a book.

Explanation

The relationship between the first pair of words, Dark and Light, is antonymous, as they represent direct opposites. Similarly, Hot and Cold are antonyms that share the same opposing relationship.

Explanation

The relationship in the given analogy is based on an activity and the natural terrain or location where it is typically performed. Swimming is an outdoor recreational activity that is carried out in a natural body of water like a river. Similarly, hiking is an outdoor activity consisting of walking or marching along trails in elevated, natural terrains, which is typically performed on a mountain.

Explanation

The letters of the first word HOPEFUL are written in reverse order to form the second word LUFEPOH. Following the same pattern, reversing the letters of the word ETHNICITY gives YTICINHTE.

Explanation

A publisher is responsible for the business operations of preparing, printing, and distributing literary works, whereas the others are the actual creators or writers of the literary content.

Explanation

In options A, B, and D (which is MJGD in the original exam), the letters decrease by a constant difference of 3 (e.g., K-3=H, H-3=E, E-3=B). However, in option C (MKHE), the difference between the first two letters is 2 (M-2=K, K-3=H, H-3=E), making it the odd one out.

Explanation

The difference between the two numbers in this pair is 9 (73 - 64 = 9), whereas the difference between the two numbers in all the other pairs is 11.

Explanation

In the pair Hexagon : Angle, the geometric figure is not physically constructed or composed of the second term. A hexagon is a polygon constructed from line segments, whereas an angle is a geometric relationship or measurement formed at the intersection of those segments rather than a constituent part that builds the shape.

Explanation

The sequence represents the natural chronological stages in the life cycle of a flowering plant. First, a seed (3) germinates and grows into a plant (1). As the plant reaches maturity, it produces a flower (4). Finally, the flower is fertilized and develops into a fruit (2) that contains the next generation of seeds.

Explanation

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

All four words start with the letter B, so we compare their second letters, which are o in Bound, Bonus, and Board, and u in Bunch. Since o comes before u, Bunch is placed last.

Next, we compare the remaining words sharing the prefix Bo, using their third letters: a in Board, n in Bonus, and u in Bound. Since a comes before n, and n comes before u, the correct sequence of these three words is Board, then Bonus, and finally Bound.

Putting them all together, the dictionary order is Board (4), Bonus (2), Bound (1), and Bunch (3).

Explanation

To find the number of times P is immediately followed by N and O, we count the occurrences of the sequence PNO in the given series APNQPNOSPTOZPNOYMPNO.

Scanning the series from left to right:

APNQ (PNO) SPTOZPNOYMPNO APNQPNOSPTOZ (PNO) YMPNO APNQPNOSPTOZPNOYM (PNO)

Thus, the sequence PNO occurs exactly 3 times in the given series.

Explanation

In the given set (23:30:37), the consecutive numbers have a constant difference of 7: 30 - 23 = 7 37 - 30 = 7

Similarly, in the set (6:13:20), the difference between consecutive terms is also 7: 13 - 6 = 7 20 - 13 = 7

This follows the identical arithmetic progression pattern where each subsequent number is obtained by adding 7 to the preceding number.

Explanation

Each letter in the consecutive terms of the series decreases by 2 steps in alphabetical position.

The first letters decrease as Y (25) to W (23) to U (21), so the next letter is 21 - 2 = 19, which is S.

The second letters decrease as V (22) to T (20) to R (18), so the next letter is 18 - 2 = 16, which is P.

The third letters decrease as P (16) to N (14) to L (12), so the next letter is 12 - 2 = 10, which is J.

Combining these letters gives the next term SPJ.

Explanation

The series follows the mathematical pattern of 2n² where n represents the position of the term in the sequence (n = 1, 2, 3, ...).

The first term is 2 × 1² = 2 The second term is 2 × 2² = 8 The third term is 2 × 3² = 18 The fourth term is 2 × 4² = 32 The fifth term is 2 × 5² = 50

Following this formula, the sixth term in the series is: 2 × 6² = 2 × 36 = 72

Alternatively, the difference between consecutive terms increases by 4 each time. The differences are 6, 10, 14, and 18. Adding 4 to the last difference of 18 gives 22, and 50 + 22 = 72.

Explanation

The given series contains a typographical error where the first two terms, 1 and 3, were combined as 13 due to a missing comma. Correcting this, the actual sequence is 1, 3, 7, 15, 31, ...

Each term in the sequence is obtained by multiplying the preceding term by 2 and adding 1: 1 × 2 + 1 = 3 3 × 2 + 1 = 7 7 × 2 + 1 = 15 15 × 2 + 1 = 31

Following this pattern, the next term is: 31 × 2 + 1 = 63

Alternatively, the difference between consecutive terms doubles at each step, following powers of 2: 3 - 1 = 2 7 - 3 = 4 15 - 7 = 8 31 - 15 = 16

The next difference must be 32, giving: 31 + 32 = 63

Explanation

C is the mother of B, as C is the mother of both A and B. Since D is the husband of B, C is the mother of D's wife. This establishes that C is the mother-in-law of D.

Explanation

The code for each word is determined by the sum of the positional values of its letters in the standard English alphabet, where A = 1, B = 2, ..., and Z = 26.

For ACE: A = 1 C = 3 E = 5 Sum = 1 + 3 + 5 = 9

Applying the same logic to ART: A = 1 R = 18 T = 20 Sum = 1 + 18 + 20 = 39

Explanation

By comparing the letters of the given words with their corresponding numeric codes, a direct letter-to-digit mapping is established:

P = 5, A = 3, R = 9, K = 4 S = 1, H = 7, I = 6, R = 9, T = 8 P = 5, A = 3, N = 2, D = 0, I = 6, T = 8

Using these direct values, we substitute the letters of the word NISHAR:

N = 2 I = 6 S = 1 H = 7 A = 3 R = 9

Combining these digits in order gives the code 261739.

Explanation

If the 5th of the month is Tuesday, counting backwards gives the day of the 1st of the month: 5th = Tuesday 4th = Monday 3rd = Sunday 2nd = Saturday 1st = Friday

Since the 1st of the month is Friday, the Fridays of the month occur on the following dates: 1st Friday = 1st 2nd Friday = 1 + 7 = 8th 3rd Friday = 8 + 7 = 15th

The date that is 3 days after the 3rd Friday is calculated by adding 3 to the date of the 3rd Friday: 15 + 3 = 18

Explanation

Based on the given statements, we can set up age relations to determine who is the eldest:

From the statement that Seema's younger brother Sohan is older than Seeta, we establish that Seema is older than Sohan, who in turn is older than Seeta: Seema > Sohan > Seeta

From the statement that Sweta is younger than Deepti but elder than Seema, we establish that Deepti is older than Sweta, who in turn is older than Seema: Deepti > Sweta > Seema

Combining both relations gives a complete sequence from oldest to youngest: Deepti > Sweta > Seema > Sohan > Seeta

This inequality chain clearly demonstrates that Deepti has the greatest age and is the eldest.

Explanation

Let the present age of the uncle be U and the present age of Rahim be R.

Since the uncle is older than Rahim, the difference in their ages is given by: U - R = 30

After 7 years, the sum of their ages is 66: (U + 7) + (R + 7) = 66 U + R + 14 = 66 U + R = 52

Adding these two equations: (U - R) + (U + R) = 30 + 52 2U = 82 U = 41

The present age of the uncle is 41 years.

Explanation

The total number of students in a class when the rank of a single student is given from both the top and the bottom is calculated using the formula:

Total = Rank from Top + Rank from Bottom - 1

Substituting the given values:

Total = 7 + 26 - 1 = 32

Subtracting 1 is necessary because Sohan is counted twice, once from the top and once from the bottom.

Explanation

The word SIGHT contains the letter H. Because the base word SIGNATURE does not contain the letter H, it is impossible to form SIGHT using the letters of the given word.

Explanation

The letter rearrangement follows a specific pattern of grouping. The 9-letter word SYNDICATE is split into five consecutive groups of letters as follows:

Group 1: SY (1st and 2nd letters) Group 2: ND (3rd and 4th letters) Group 3: I (5th letter) Group 4: CA (6th and 7th letters) Group 5: TE (8th and 9th letters)

In the coded word SYTENDCAI, these groups are rearranged in the sequence: Group 1, Group 5, Group 2, Group 4, and Group 3.

Applying the exact same grouping and rearrangement pattern to PSYCHOTIC:

Group 1: PS (1st and 2nd letters) Group 2: YC (3rd and 4th letters) Group 3: H (5th letter) Group 4: OT (6th and 7th letters) Group 5: IC (8th and 9th letters)

Arranging these in the sequence Group 1, Group 5, Group 2, Group 4, Group 3 gives:

PS + IC + YC + OT + H = PSICYCOTH

Explanation

By mapping each digit in the given number code 429753 to its corresponding letter from the provided key:

4 corresponds to Z 2 corresponds to Q 9 corresponds to M 7 corresponds to D 5 corresponds to E 3 corresponds to J

Placing these mapped letters in order yields the letter-code ZQMDEJ.

Explanation

The word DAIRY can be formed because all of its letters are present in the word DICTIONARY. The letter D appears once, A appears once, I appears twice, R appears once, and Y appears once in DICTIONARY, which satisfies the letter requirements for spelling DAIRY.

Explanation

The given series consists of three groups of numbers, where the middle number is the square of the outer numbers.

In the first group: 5² = 25 In the second group: 7² = 49

Applying the same logic to the third group: 6² = 36

Explanation

The pattern in each column is that the number in the fourth row is obtained by dividing the number in the first row by the number in the second row, and then adding the number in the third row.

For the first column: (96 ÷ 6) + 5 = 16 + 5 = 21

For the second column: (100 ÷ 4) + 7 = 25 + 7 = 32

Following the same logic for the third column: (132 ÷ 6) + 3 = 22 + 3 = 25

Explanation

The pattern is based on adding the individual digits of the given number and then adding 3 to the sum.

For 782 = 20: Sum of digits = 7 + 8 + 2 = 17 Adding 3 to the sum = 17 + 3 = 20

For 671 = 17: Sum of digits = 6 + 7 + 1 = 14 Adding 3 to the sum = 14 + 3 = 17

Applying the same logic to 884: Sum of digits = 8 + 8 + 4 = 20 Adding 3 to the sum = 20 + 3 = 23

Explanation

The system of solving these equations is based on a rearrangement of the position of the digits. If the three numbers being multiplied are represented in order as a × b × c, the resulting three-digit number is formed by placing the third digit (c) first, the first digit (a) second, and the second digit (b) third, resulting in the layout cab.

For 5 × 6 × 4, with a = 5, b = 6, and c = 4, the rearrangement cab gives 456.

For 3 × 6 × 5, with a = 3, b = 6, and c = 5, the rearrangement cab gives 536.

Applying this same rule to 4 × 8 × 7, where a = 4, b = 8, and c = 7, the rearrangement cab results in 748.