SSC CGL Tier 1 2023 General Intelligence & Reasoning Questions with Solutions

Explanation

The logic followed in the given sets is 2 × (First Number + Second Number) = Third Number. Applying this to the first set (6, 14, 40), we have 2 × (6 + 14) = 2 × 20 = 40. Similarly, for the second set (10, 14, 48), the calculation is 2 × (10 + 14) = 2 × 24 = 48. Using the same pattern for the set (5, 9, 28), we find that 2 × (5 + 9) = 2 × 14 = 28, which maintains the established relationship between the numbers.

Explanation

In the expression H | I @ J # K @ L, we focus on the segments connecting J to L. The part J # K means J is the father of K. The next part K @ L means K is the brother of L. Since K and L are siblings and J is the father of K, J is also the father of L.

Explanation

The relationship between the numbers in the given sets follows the logic that the first number is the product of the second and third numbers, expressed as n₁ = n₂ × n₃. In the first set (1000, 100, 10), the operation 100 × 10 = 1000 satisfies this pattern. In the second set (38, 19, 2), the same logic applies as 19 × 2 = 38. Applying this rule to the set (125, 25, 5), we find that 25 × 5 = 125, which maintains the established mathematical relationship.

Explanation

The logic follows a pattern where adjacent pairs of letters in each word are swapped. In the word FRENCH, the letters are divided into pairs (FR)(EN)(CH), and each pair is reversed to form (RF)(NE)(HC), resulting in RFNEHC.

Similarly, for RESCUE, the pairs (RE)(SC)(UE) are reversed to become (ER)(CS)(EU), giving ERCSEU. Applying this consistent pattern to the word ANIMAL, the letters are grouped into pairs (AN)(IM)(AL). Reversing each of these pairs yields (NA)(MI)(LA), which combines to form NAMILA.

Explanation

To solve the given expression, we first substitute the mathematical operators as per the provided instructions: + becomes ×, - becomes ÷, × becomes -, and ÷ becomes +. Substituting these into the original expression 26 + 342 - 19 × 73 ÷ 14, we get:

26 × 342 ÷ 19 - 73 + 14

Following the BODMAS rule, we perform division first, then multiplication, and finally addition and subtraction.

The division 342 ÷ 19 equals 18. The expression now becomes:

26 × 18 - 73 + 14

Performing multiplication, 26 × 18 = 468. The expression is now:

468 - 73 + 14

Solving the remaining addition and subtraction from left to right:

468 - 73 = 395 395 + 14 = 409

Explanation

The relationship between the numbers in each pair follows the mathematical pattern y = (x × 3) - 2, where x represents the first number and y represents the second number.

For the first pair 6:16, the calculation is (6 × 3) - 2 = 18 - 2 = 16.

For the second pair 10:28, the calculation is (10 × 3) - 2 = 30 - 2 = 28.

Applying the same logic to the fifth number 3, the calculation is (3 × 3) - 2 = 9 - 2 = 7.

Explanation

The numbers in each set follow the mathematical relationship a = b + 2c, where a, b, and c represent the first, second, and third numbers respectively.

In the first set (300, 100, 100): 100 + 2 × 100 = 100 + 200 = 300

In the second set (88, 66, 11): 66 + 2 × 11 = 66 + 22 = 88

Applying this logic to the set (44, 22, 11): 22 + 2 × 11 = 22 + 22 = 44

Since the first number 44 is equal to the sum of the second number and twice the third number, this set follows the same pattern.

Explanation

The triad 5:10:126 follows the mathematical pattern x : 2x : (x³ + 1). For the first number x = 5, the second number is 5 × 2 = 10 and the third number is 5³ + 1 = 125 + 1 = 126. This differs from the logic shared by the other triads in the group, which follow the pattern x : 2x : (x³ - 1). Because this triad uses addition instead of subtraction to derive the third term from the cube of the first, it does not belong to the group.

Explanation

The coding logic involves calculating the sum of the numerical positions of the letters in the English alphabet (A=1, B=2, …, Z=26) and multiplying the resulting sum by 3, which is the total number of letters in each word.

For DXF, the positions are D=4, X=24, and F=6. The sum of these values is 4 + 24 + 6 = 34. Multiplying this sum by 3 gives 34 × 3 = 102.

For URO, the positions are U=21, R=18, and O=15. The sum of these values is 21 + 18 + 15 = 54. Multiplying this sum by 3 gives 54 × 3 = 162.

Applying this same logic to LNZ, the positions are L=12, N=14, and Z=26. The sum of these values is 12 + 14 + 26 = 52. Multiplying this sum by 3 results in 52 × 3 = 156.

Explanation

The series follows an alternating pattern of two distinct three-letter blocks: DDC and CCD. When we place the letters from the correct option into the blanks, the sequence completes as DDC CCD DDC CCD D. In this structure, the first block is DDC, the second is CCD, the third is DDC, and the fourth is CCD, concluding with an additional D. The known letters DCDDCDD provided in the question occupy positions 2, 3, 6, 8, 9, 12, and 13 of the sequence. By inserting the letters from the option DCCDCC into the blanks at positions 1, 4, 5, 7, 10, and 11, the repeating logic of DDC followed by CCD is maintained throughout the entire series.

Explanation

The coding logic involves adding consecutive even numbers starting from 2 to the numerical position of each letter in the word. For the word AROUND, the transformations are A(1)+2=3(C), R(18)+4=22(V), O(15)+6=21(U), U(21)+8=29 which cycles to 3(C), N(14)+10=24(X), and D(4)+12=16(P). Similarly, for ONLINE, the pattern follows O(15)+2=17(Q), N(14)+4=18(R), L(12)+6=18(R), I(9)+8=17(Q), N(14)+10=24(X), and E(5)+12=17(Q).

Applying this +2, +4, +6, +8, +10, +12 pattern to RUSTIC: R (18) + 2 = 20 (T) U (21) + 4 = 25 (Y) S (19) + 6 = 25 (Y) T (20) + 8 = 28. Since there are 26 letters, 28 - 26 = 2 (B) I (9) + 10 = 19 (S) C (3) + 12 = 15 (O)

The resulting code for RUSTIC is TYYBSO.

Explanation

Interchanging the minus and multiplication signs transforms the original equation into 15 ÷ 3 + 15 × 3 - 3 = 47. Following the BODMAS rule, the division is performed first, yielding 5 + 15 × 3 - 3. Next, the multiplication is carried out, resulting in 5 + 45 - 3. Summing the first two terms gives 50 - 3, and the final subtraction results in 47. This result matches the value on the right-hand side of the given equation.

Explanation

The pattern of the series is determined by the differences between consecutive terms, which are the squares of consecutive odd numbers starting from 1.

132 - 131 = 1 = 1² 141 - 132 = 9 = 3² 166 - 141 = 25 = 5² 215 - 166 = 49 = 7²

The next odd number in the sequence is 9, so the next difference must be 9² = 81. Adding this value to the current term gives 215 + 81 = 296. This pattern is confirmed by the final step where the next odd number is 11, and adding its square 11² = 121 to 296 results in 296 + 121 = 417, which is the last number in the series.

Explanation

The relationship established in the first pair is one of classification, where the first word is a specific instance belonging to the category defined by the second word. A kidney is a specific biological component classified as an organ within a living organism. Applying this same categorical logic to the second pair, an apple is a specific edible product of a plant that is classified under the broader category of fruit.

Explanation

The word PURITAN is transformed by moving consonants to the next letter and vowels to the previous letter. For consonants: P becomes Q, R becomes S, T becomes U, and N becomes O. For vowels: U becomes T, I becomes H, and A becomes Z. The resulting word is QTSHUZO.

The letter 1st from the left is Q. The letter 6th from the right is T (counting from the end: O is 1st, Z is 2nd, U is 3rd, H is 4th, S is 5th, and T is 6th). In the standard English alphabetical series, the letters between Q and T are R and S. Therefore, there are exactly two alphabets between them.

Explanation

The series progresses by applying a consistent arithmetic shift to the numerical position of each letter within the clusters. For the first letter in each group, there is an increment of +3, moving from B(2) to E(5) and then to H(8). Continuing this pattern, 8 + 3 = 11, which corresponds to the letter K. For the second letter, the increment is also +3, moving from F(6) to I(9) and then to L(12). The next letter is 12 + 3 = 15, which corresponds to O. The third letter follows a decrement of -2, moving from Z(26) to X(24) and then to V(22). The next letter in the sequence is 22 - 2 = 20, which corresponds to T. The fourth letter also follows a decrement of -2, moving from V(22) to T(20) and then to R(18). The next letter is 18 - 2 = 16, which corresponds to P. By combining these individual results, the missing cluster is determined to be KOTP.

Explanation

The relationship in the given pair Horse: Mare is based on gender, where the first word is the male (or general name for the species) and the second word is the female of that species. A mare is specifically an adult female horse. Similarly, in the pair Bull: Cow, a bull is the male and a cow is the female of the bovine species. This matches the Male: Female pattern established by the original pair.

Explanation

The mathematical logic followed in the pairs is that the second number is obtained by squaring the first number and then subtracting 2. This can be expressed by the formula y = x² - 2, where x is the first number and y is the second number. In the case of (10, 100), the second number is exactly the square of the first number since 10² = 100. This deviates from the specific operation of subtracting 2 from the square, which is consistently applied in the other pairs where 8² - 2 = 62, 14² - 2 = 194, and 12² - 2 = 142.

Explanation

To arrange the words in dictionary order, compare the letters from left to right. All six words begin with the prefix Cal. Looking at the fourth letter of each word: Calamity (a), Calcium (c), Calculus (c), Calmly (m), Calories (o), and Calendar (e). Since a is the first letter alphabetically, Calamity (1) is placed first. Between Calcium (2) and Calculus (3), both share the fourth letter c, so the fifth letters i and u are compared; i comes before u, making the order 2 then 3. Comparing the remaining fourth letters e, m, and o, Calendar (6) comes fourth because e precedes m and o. Next is Calmly (4) as m precedes o, leaving Calories (5) as the final word. This logic establishes the sequence 1, 2, 3, 6, 4, 5.

Explanation

The numerical series follows the mathematical pattern y = 4x² - 8, where x represents the first number in each pair and y represents the second number.

For the first pair (6:136): 4 × 6² - 8 = 4 × 36 - 8 = 144 - 8 = 136

For the third pair (12:568): 4 × 12² - 8 = 4 × 144 - 8 = 576 - 8 = 568

Applying the same logic to the second pair (8:?): 4 × 8² - 8 = 4 × 64 - 8 = 256 - 8 = 248

Explanation

Substituting the mathematical signs from option d into the equation gives 96 ÷ 3 - 7 × 4 + 11 = 15. According to the BODMAS rule, operations must be performed in the order of Division, Multiplication, Addition, and Subtraction. First, perform the division 96 ÷ 3 = 32. Next, perform the multiplication 7 × 4 = 28. The equation now simplifies to 32 - 28 + 11 = 15. Solving the remaining terms from left to right, subtract 28 from 32 to get 4, then add 11 to get 15. Since the left-hand side equals 15, the equation is perfectly balanced.

Explanation

The logic follows a positional rearrangement where the first two letters of the cluster are swapped and the remaining three letters are reversed. For a five-letter cluster indexed as 1-2-3-4-5, the letters are rearranged into the sequence 2-1-5-4-3.

In the first pair, ADAMS is indexed as 1:A, 2:D, 3:A, 4:M, and 5:S. Swapping the first two letters (AD to DA) and reversing the last three letters (AMS to SMA) results in DASMA.

In the second pair, TOWER is indexed as 1:T, 2:O, 3:W, 4:E, and 5:R. Swapping the first two letters (TO to OT) and reversing the last three letters (WER to REW) results in OTREW.

Applying this same 2-1-5-4-3 pattern to the fifth cluster RAINY (1:R, 2:A, 3:I, 4:N, 5:Y), the first two letters swap from RA to AR, and the last three letters reverse from INY to YNI. This rearrangement produces the cluster ARYNI.

Explanation

The relationship between the numbers in the given sets follows the logic that the product of the first two numbers added to a constant value of 3 results in the third number. The formula is (n1 × n2) + 3 = n3.

In the first set (3, 9, 30): (3 × 9) + 3 = 27 + 3 = 30

In the second set (10, 3, 33): (10 × 3) + 3 = 30 + 3 = 33

Applying this same logic to the set in option c (12, 3, 39): (12 × 3) + 3 = 36 + 3 = 39

Explanation

The relationship between the numbers in each set follows the pattern 3 × First Number + Second Number = Third Number.

In the first set (26, 62, 140), the calculation is 3 × 26 + 62 = 78 + 62 = 140.

In the second set (12, 39, 75), the calculation is 3 × 12 + 39 = 36 + 39 = 75.

Following the same logic for the set in option b, (20, 48, 108), the calculation is 3 × 20 + 48 = 60 + 48 = 108.

Explanation

The series follows a consistent addition pattern for each corresponding letter position within the clusters. For the first position, the letters increase by 2: E +2 G +2 I +2 K +2 M. For the second position, the letters increase by 3: J +3 M +3 P +3 S +3 V. For the third position, the letters increase by 1: C +1 D +1 E +1 F +1 G. For the fourth position, the letters increase by 4: K +4 O +4 S +4 W +4 A. Applying these increments to the cluster IPES, we get I+2=K, P+3=S, E+1=F, and S+4=W, resulting in the cluster KSFW.

Explanation

The pattern followed in the triplets is a + b - 2 = c, where a is the first number, b is the second number, and c is the third number.

In the first set (3, 5, 6), the relation is 3 + 5 - 2 = 6. In the second set (5, 12, 15), the relation is 5 + 12 - 2 = 15. In the third set (9, 4, ?), the value is found by calculating 9 + 4 - 2 = 11.

Explanation

The numbers in each set follow the mathematical relationship where the product of the first and third numbers is equal to three times the second number. This can be expressed by the formula:

First Number × Third Number = 3 × Second Number

Applying this to the given sets:

For (6, 16, 8): 6 × 8 = 48 3 × 16 = 48

For (5, 15, 9): 5 × 9 = 45 3 × 15 = 45

Following the same logic for the numbers in option b, (3, 11, 11): 3 × 11 = 33 3 × 11 = 33

The relationship is consistent across the given sets and the selected option.

Explanation

To determine the relationship, the description can be broken down step by step. Amil mentions his only daughter's father, which refers directly to Amil himself. Substituting this into the sentence, the girl is identified as Amil's paternal grandfather's granddaughter. The problem states that Amil's father has no siblings, which means Amil's father is the only child of the paternal grandfather. Consequently, any granddaughter of the paternal grandfather must be the child of Amil's father. Since the girl is a daughter of Amil's father, she is Amil's sister.

Explanation

The coding pattern involves dividing the five-letter word into three segments: the first two letters, the middle letter, and the last two letters. The first two letters are swapped in their positions. The middle letter (3rd position) is replaced by the letter that appears three positions before it in the English alphabet (n → n-3). The last two letters are also swapped in their positions.

Applying this pattern to the word PAINT: The first two letters PA are swapped to become AP. The middle letter I is the 9th letter of the alphabet; shifting back by 3 positions (9 - 3 = 6) results in the 6th letter, which is F. The last two letters NT are swapped to become TN. Combining these segments results in the code APFTN.

Explanation

Interchanging the signs ÷ and + transforms the equation into 459 ÷ 17 × 12 + 72 - 47 = 349. Following the BODMAS rule, we first solve the division part: 459 ÷ 17 = 27. Next, we perform the multiplication: 27 × 12 = 324. Substituting these values back into the expression gives 324 + 72 - 47. Solving the addition and subtraction leads to 396 - 47 = 349, which satisfies the given equation.

Explanation

The letter-clusters are constructed using a pattern where the positional values of the letters in the English alphabet increase by +3, +5, and +7 sequentially. In JPSW, the positional values are J = 10, P = 16, S = 19, and W = 23. Calculating the differences between these positions yields 16 - 10 = 6, 19 - 16 = 3, and 23 - 19 = 4. This sequence of +6, +3, and +4 is inconsistent with the +3, +5, +7 rule followed by the other clusters in the set.

Explanation

The letter series is formed by the continuous repetition of the four-letter block PRQS. By dividing the series into groups of four, the pattern is revealed as PRQS PRQS PRQS PRQS.

To complete the series, the blanks are filled based on this repeating unit. The first blank is P, forming the start of the first block PRQS. The second blank is S, which completes that first block. The third blank is Q, completing the second block PRQS. The fourth and fifth blanks are filled with P and R respectively to maintain the sequence. Finally, the sixth blank at the end is S, which completes the fourth block of the pattern.

Arranging these letters in the order they appear from left to right gives the sequence P, S, Q, P, R, and S. This matches the sequence of letters provided in option b.

Explanation

The numerical series follows a decreasing pattern with a constant common difference. By observing the intervals between consecutive terms, we can determine the rule governing the sequence: 245 - 212 = 33 146 - 113 = 33 113 - 80 = 33

The difference between any two adjacent numbers in the series is consistently 33. Therefore, to find the missing number that replaces the question mark, we subtract 33 from the term preceding it: 212 - 33 = 179

We can verify this result by checking the transition to the subsequent term in the sequence: 179 - 33 = 146 Since this matches the next number provided in the series, the pattern is confirmed.

Explanation

The coding logic is based on subtracting a decreasing sequence of integers from the numerical positions of the letters in the English alphabet. For a six-letter word, the pattern of subtraction applied to the letters from first to last is -7, -6, -5, -4, -3, and -2.

Applying this pattern to the word BRUNCH:

The first letter B has the positional value 2. Subtracting 7 gives 2 - 7 = -5. In the circular alphabet, -5 + 26 = 21, which corresponds to the letter U.

The second letter R is 18. Subtracting 6 gives 18 - 6 = 12, which corresponds to L.

The third letter U is 21. Subtracting 5 gives 21 - 5 = 16, which corresponds to P.

The fourth letter N is 14. Subtracting 4 gives 14 - 4 = 10, which corresponds to J.

The fifth letter C is 3. Subtracting 3 gives 3 - 3 = 0. In the alphabetical cycle, 0 (or 26) corresponds to Z.

The sixth letter H is 8. Subtracting 2 gives 8 - 2 = 6, which corresponds to F.

Following this systematic subtraction, the word BRUNCH is coded as ULPJZF.

Explanation

The series follows a specific pattern for each letter position in the four-letter terms. By converting the letters into their corresponding numerical positions in the alphabet, the pattern becomes clear.

For the first letter of each term, the sequence is P (16), R (18), T (20), V (22). There is a constant increase of +2 at each step. Thus, the next first letter is 22 + 2 = 24, which corresponds to X.

For the second letter of each term, the sequence is G (7), H (8), I (9), J (10). There is a constant increase of +1 at each step. Thus, the next second letter is 10 + 1 = 11, which corresponds to K.

For the third letter of each term, the sequence is L (12), N (14), P (16), R (18). There is a constant increase of +2 at each step. Thus, the next third letter is 18 + 2 = 20, which corresponds to T.

For the fourth letter of each term, the sequence is T (20), U (21), V (22), W (23). There is a constant increase of +1 at each step. Thus, the next fourth letter is 23 + 1 = 24, which corresponds to X.

Combining these results, the next term in the series is XKTX.

Explanation

The letter series follows a repeating pattern consisting of the five-letter group R M N O D. By dividing the complete sequence into units of five, the pattern is R M N O D R M N O D R M N O D R M N O D. In the first unit, the letters M and N are missing after R. In the second unit, the letters O and D are missing after R M N. In the third unit, the letter R is missing at the start and O is missing after M N. In the fourth unit, the letters M and D are missing from their respective positions within the R M N O D structure. Sequentially placing the letters M, N, O, D, R, O, M, and D into the blanks restores the consistent repetition of the five-letter group.

Explanation

The numbers in the sets follow a pattern where the product of the first two numbers is adjusted by a variable factor to reach the third number.

In the first set (12, 8, 80): 12 × 8 = 96 96 - 16 = 80 The value subtracted (16) is equivalent to 2 × 8.

In the second set (16, 10, 131): 16 × 10 = 160 160 - 29 = 131 The value subtracted (29) is equivalent to 3 × 10 - 1.

In the third set (9, 6, 54): 9 × 6 = 54 54 - 0 = 54 The value subtracted (0) is equivalent to 0 × 6.

Alternatively, the relationship can be viewed as (a + b) × (b ÷ 2) with a specific constant adjustment: Set 1: (12 + 8) × (8 ÷ 2) = 20 × 4 = 80 Set 2: (16 + 10) × (10 ÷ 2) + 1 = 26 × 5 + 1 = 131 Option d: (9 + 6) × (6 ÷ 2) + 9 = 15 × 3 + 9 = 54

In this pattern, the added constants are 0, 1, and 9, which represent the squares of the difference between half of the second number and the constant 4 (i.e., (b/2 - 4)² for the first two, or a related sequence for the third). Thus, the set (9, 6, 54) is the most consistent with the provided numerical relationships.

Explanation

To arrange these words in dictionary order, we compare the letters of each word from left to right. All six words begin with the prefix Pan. Comparing the fourth letter of each word, we find c in Pancakes and Pancreas, d in Pandemic, i in Panicked, o in Panorama, and t in Panther. Among the words starting with Panc, Pancakes comes first because its fifth letter a precedes the r in Pancreas. This places word 1 before word 4. Next, Pandemic (2) follows because its fourth letter d comes after c. Panicked (3) comes after Pandemic because its fourth letter i follows d. Panorama (5) follows Panicked because its fourth letter o comes after i. Finally, Panther (6) is placed last because its fourth letter t comes after o. This sequential comparison establishes the order as 1, 4, 2, 3, 5, 6.

Explanation

The relationship established in the first pair is based on the anatomical location where the jewelry is worn. An anklet is an ornamental chain or string worn around the ankle. Similarly, a bracelet is an ornamental band or chain specifically designed to be worn around the wrist.

Explanation

The pattern follows the logic x = (n³)/(2), where x is the first number and n is the second number in the pair.

For the first pair 864:12: (12³)/(2) = ¹⁷²⁸⁄₂ = 864

For the second pair 1372:14: (14³)/(2) = ²⁷⁴⁴⁄₂ = 1372

For the third pair 2048:?, let the missing number be k: (k³)/(2) = 2048 k³ = 2048 × 2 = 4096 k = ³√(4096) = 16

Explanation

The relationship follows the pattern where each letter in the cluster is transformed using the formula New Position = 26 - Original Position. This is equivalent to finding the alphabetical opposite of the letter (where the sum of positions is 27) and then subtracting 1 from that position.

In the first pair MOC to MKW, the letter M (13) becomes 26 - 13 = 13 (M), O (15) becomes 26 - 15 = 11 (K), and C (3) becomes 26 - 3 = 23 (W).

In the second pair SEL to GUN, the letter S (19) becomes 26 - 19 = 7 (G), E (5) becomes 26 - 5 = 21 (U), and L (12) becomes 26 - 12 = 14 (N).

Applying this same logic to the fifth letter-cluster DKR, the letter D (4) becomes 26 - 4 = 22 (V), K (11) becomes 26 - 11 = 15 (O), and R (18) becomes 26 - 18 = 8 (H). This calculation results in the cluster VOH.

Explanation

In the given number-pairs, the second number is obtained by multiplying the first number by 13 and then subtracting 2 (Logic: y = 13x - 2). For instance, (7 * 13) - 2 = 89, (8 * 13) - 2 = 102, and (6 * 13) - 2 = 76, whereas (5 * 13) - 2 results in 63, making (5, 60) the odd pair.

Explanation

The logic follows a two-step process: first, reverse the letters of the given word; second, add incremental values starting from +1 to the positional value of each letter in the reversed sequence.

For the word MOTHER, reversing it gives R-E-H-T-O-M. Adding +1 to R (18+1=19) gives S, +2 to E (5+2=7) gives G, +3 to H (8+3=11) gives K, +4 to T (20+4=24) gives X, +5 to O (15+5=20) gives T, and +6 to M (13+6=19) gives S, resulting in SGKXTS. Similarly, for SIMPLE, the reverse is E-L-P-M-I-S. Adding +1 to +6 gives F (5+1), N (12+2), S (16+3), Q (13+4), N (9+5), and Y (19+6), resulting in FNSQNY.

Applying this logic to DELIGHT: Reverse the word: T-H-G-I-L-E-D. Add incremental values: T(20) + 1 = U(21) H(8) + 2 = J(10) G(7) + 3 = J(10) I(9) + 4 = M(13) L(12) + 5 = Q(17) E(5) + 6 = K(11) D(4) + 7 = K(11)

Combining these letters results in the cluster UJJMQKK.

Explanation

To arrange the words in alphabetical order, we compare them letter by letter. All six words begin with the prefix Ph. Comparing the third letter of each word, Phantom (1) and Pharynx (5) contain a, Philosophy (3) contains i, Photograph (2) contains o, and Physical (4) and Physics (6) contain y. Based on the alphabet, words with a come first, followed by i, o, and finally y.

Between the words starting with Pha, Phantom (1) precedes Pharynx (5) because the fourth letter n comes before r. Following these is Philosophy (3) with the third letter i, and then Photograph (2) with the third letter o. Finally, comparing Physical (4) and Physics (6), both share the first six letters Physic. Physical (4) appears first because its seventh letter a comes before the s in Physics (6). This results in the dictionary sequence 1, 5, 3, 2, 4, 6.

Explanation

Conclusion III is the direct conversion of the statement Some flowers are branches and therefore logically follows. Conclusions I, II, and IV do not follow because there is no definite connection established between trees and flowers, or between leaves and branches.

Explanation

By comparing the letters in 'BEAK' and 'RAKE', we find that they share the letters E, A, and K. Correspondingly, their codes share the digits 4, 3, and 9. The letter unique to 'BEAK' is B, and the digit unique to its code (4392) is 2, therefore B is coded as 2.

Explanation

The pattern followed in the given sets is (First number) + 3 × (Third number) = (Second number). Applying this to the first set: 5 + 3(3) = 14; to the second set: 3 + 3(7) = 24; and to the third set: 9 + 3(7) = 30. Additionally, the sum of numbers in each set (22, 34, 46) forms an arithmetic progression with a common difference of 12 when the third number is 7.

Explanation

Conclusion I follows from the statement some mirrors are glass because the relation is symmetrical. Conclusion III follows from the statement some taps are pens because the relation is also symmetrical. Conclusion II does not follow because all glass are taps does not necessarily mean all taps are glass.

Explanation

The letter series is composed of the 7-letter segment "TROJEWF" repeated four times. We can break the series into four blocks of seven letters each:

Block 1: T _ O J E W _ (Positions 1–7) Block 2: T R O _ E W F (Positions 8–14) Block 3: _ R O J _ W F (Positions 15–21) Block 4: T R _ J E _ F (Positions 22–28)

By comparing each block to the pattern "T R O J E W F", we can identify the missing letters:

1. In Block 1, the 2nd and 7th letters are missing: R and F.
2. In Block 2, the 4th letter is missing (11th position): J.
3. In Block 3, the 1st and 5th letters are missing (15th and 19th positions): T and E.
4. In Block 4, the 3rd and 6th letters are missing (24th and 27th positions): O and W.

The sequence of letters to be placed in the blanks from left to right is R-F-J-T-E-O-W. This corresponds exactly to Option A.

Explanation

By interchanging the numbers 7 and 14 and the signs * and /, the equation becomes 14 / 7 * 6 + 12 + 6 = 30. Following the BODMAS rule, 14 / 7 = 2, then 2 * 6 = 12, and finally 12 + 12 + 6 = 30, which makes the equation correct.