📘 Quiz

Solution: Step 1: Refer to the established arrangement of cars from the problem context. Step 2: Locate the Cadillac car. Step 3: Identify the cars positioned immediately to its left and right. Step 4: Fargo and Mercedes are on both sides of the Cadillac car.

Solution: Step 1: Analyze Statement I. * Ashish is 12th from the right end. * Vishakha is 8th to the left of Ashish. So, Vishakha's position from the right end is 12 + 8 = 20th. * Vishakha is also 5th from the left end. * Total children = (Position from left) + (Position from right) - 1 = 5 + 20 - 1 = 24. Statement I alone is sufficient. Step 2: Analyze Statement II. * Nisha is 7th from the right end. * Nisha is 18th from the left end. * Total children = (Position from left) + (Position from right) - 1 = 18 + 7 - 1 = 24. Statement II alone is sufficient. Step 3: Since both statements individually provide the total number of children, either Statement I or Statement II is sufficient.

Solution: Step 1: Determine the number of ways to select 5 men from the available 7 men. This is calculated using combinations: 7C5. Step 2: Calculate 7C5: 7! / (5! * (7-5)!) = 7! / (5! * 2!) = (7 * 6) / (2 * 1) = 21. Step 3: Determine the number of ways to select 2 women from the available 3 women. This is calculated using combinations: 3C2. Step 4: Calculate 3C2: 3! / (2! * (3-2)!) = 3! / (2! * 1!) = 3. Step 5: To find the total number of ways to form the group with these specific conditions, multiply the number of ways for each selection (product rule). Step 6: Total number of ways = 7C5 * 3C2 = 21 * 3 = 63.

Solution: Step 1: Analyze Statement I: 'C, who is third to the left of D, is to the immediate right of A and second to the left of E'. Step 2: Break down Statement I into individual relationships: - C is immediately to the right of A: A C - C is second to the left of E: C _ E - C is third to the left of D: C _ _ D Step 3: Combine these relationships to form a complete sequence. From 'A C' and 'C _ E', we get 'A C _ E'. Since C is third left of D, and there are 5 people, the only way to fit 'C _ _ D' is if the missing space is filled, giving 'A C B E D'. Step 4: From Statement I alone, the order is A, C, B, E, D. In this order, B is in the middle. So, Statement I alone is sufficient. Step 5: Analyze Statement II: 'C is second to the left of E, who is not at any of the ends and who is third to the right of A. D is at one of the ends'. Step 6: Break down Statement II: - C is second to the left of E: C _ E - E is not at any of the ends (positions 1 or 5). - E is third to the right of A: A _ _ E - D is at one of the ends (positions 1 or 5). Step 7: Combine: From 'A _ _ E' and 'C _ E', we get 'A C _ E'. Since E is not at an end, and D is at an end, the arrangement must be 'A C B E D' (filling the gap with B and placing D at the end). Step 8: From Statement II alone, the order is A, C, B, E, D. In this order, B is in the middle. So, Statement II alone is sufficient. Step 9: Since either Statement I or Statement II alone is sufficient, the answer is 'Either I or II is sufficient'.

Solution: Step 1: Identify the foundational and sequential steps in building construction. Step 2: Construction starts with the 'Foundation' (4). Step 3: 'Walls' (2) are built upon the foundation. Step 4: 'Windows' (1) are installed within the walls. Step 5: The 'Roof' (5) is added to cover the structure. Step 6: The 'Floor' (3) is typically laid inside once the main structure is enclosed. Step 7: Finally, all these elements together form a 'Room' (6). Step 8: The correct sequence is 4, 2, 1, 5, 3, 6.

Solution: Step 1: Identify the total number of men (8) and women (6). The group size is 4. Step 2: The condition 'at least 1 woman' implies several mutually exclusive cases: - Case 1: 1 woman and 3 men (6C1 * 8C3) - Case 2: 2 women and 2 men (6C2 * 8C2) - Case 3: 3 women and 1 man (6C3 * 8C1) - Case 4: 4 women and 0 men (6C4 * 8C0) Step 3: Calculate the combinations for each case: - Case 1: 6C1 = 6. 8C3 = (8 * 7 * 6) / (3 * 2 * 1) = 56. Product = 6 * 56 = 336. - Case 2: 6C2 = (6 * 5) / (2 * 1) = 15. 8C2 = (8 * 7) / (2 * 1) = 28. Product = 15 * 28 = 420. - Case 3: 6C3 = (6 * 5 * 4) / (3 * 2 * 1) = 20. 8C1 = 8. Product = 20 * 8 = 160. - Case 4: 6C4 = 6C(6-4) = 6C2 = 15. 8C0 = 1. Product = 15 * 1 = 15. Step 4: Sum the results of all these possible cases to find the total number of ways. Step 5: Total number of ways = 336 + 420 + 160 + 15 = 931. (Alternatively, calculate total ways to select 4 persons from 14 (14C4 = 1001) and subtract ways to select 4 persons with no women (i.e., all men) (8C4 = 70): 1001 - 70 = 931.)

Solution: Step 1: Arrange the human life stages from conception to maturity. Step 2: 'Foetus' (1) is the earliest stage in the womb. Step 3: After birth, an infant is a 'Baby' (3). Step 4: A baby grows into a 'Child' (2). Step 5: A child then progresses to 'Youth' (5) (adolescence/early adulthood). Step 6: Finally, 'Adult' (4) represents full maturity. Step 7: The correct sequence is 1, 3, 2, 5, 4.

Solution: Step 1: Identify the total number of balls: 2 white + 3 black + 4 red = 9 balls. We need to draw 3 balls. Step 2: The condition 'at least 1 black ball' implies several mutually exclusive cases: - Case 1: 1 black ball and 2 non-black balls. - Case 2: 2 black balls and 1 non-black ball. - Case 3: 3 black balls and 0 non-black balls. Step 3: The number of non-black balls is 2 (white) + 4 (red) = 6. Step 4: Calculate the combinations for each case: - Case 1: (3C1 black) * (6C2 non-black) = 3 * ((6 * 5) / (2 * 1)) = 3 * 15 = 45. - Case 2: (3C2 black) * (6C1 non-black) = 3 * 6 = 18. - Case 3: (3C3 black) * (6C0 non-black) = 1 * 1 = 1. Step 5: Sum the results of all these possible cases to find the total number of ways. Step 6: Total number of ways = 45 + 18 + 1 = 64. (Alternatively, calculate total ways to draw 3 balls (9C3 = 84) and subtract ways to draw 3 balls with no black balls (6C3 = 20): 84 - 20 = 64.)

Solution: Step 1: Identify the logical steps involved in creating and wearing tailored clothing. Step 2: The first step is to 'Measure' (4) the fabric/person. Step 3: Based on measurements, the fabric is 'Mark'ed (3). Step 4: The marked fabric is then 'Cut' (1). Step 5: The cut pieces are assembled by a 'Tailor' (5). Step 6: Finally, the finished garment is 'Put on' (2). Step 7: The correct meaningful sequence is: Measure -> Mark -> Cut -> Tailor -> Put on. Step 8: The corresponding numerical order is 4, 3, 1, 5, 2.

Solution: Step 1: Identify total letters and repeated letters. The word 'BANKING' has 7 letters with 'N' repeated twice. Step 2: Apply permutation formula for repeated elements: Total arrangements = 7! / 2! (since 'N' is repeated twice). Step 3: Calculate 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040. Step 4: Calculate 2! = 2 × 1 = 2. Step 5: Compute total arrangements = 5040 / 2 = 2520.

Solution: Step 1: Establish known positions and relations - Row 1 (south): J, K, L, M, N - Row 2 (north): V, W, X, Y, Z Step 2: Use given clues to fix positions - Three between V and X, facing J - M 2nd to left of L, L not next to J - N faces Z, Z to right of X - K faces person to right of W Step 3: Deduce positions - Assume V, _, _, Z, X (facing J) - Given N faces Z and M to left of L - Possible arrangement: M, K, L, N, J - Row 2: V, Y, W, Z, X Step 4: Find person left of Y - From arrangement: M faces Y - Hence, M faces the person immediately to the left of Y

Solution: Step 1: Identify the hierarchy of linguistic units, from smallest to largest. Step 2: The smallest unit among the given words is 'Letters' (4). Step 3: Letters combine to form a 'Word' (1). Step 4: Words combine to form a 'Phrase' (5). Step 5: Phrases combine to form a 'Sentence' (3). Step 6: Sentences combine to form a 'Paragraph' (2). Step 7: The correct meaningful sequence is: Letters -> Word -> Phrase -> Sentence -> Paragraph. Step 8: The corresponding numerical order is 4, 1, 5, 3, 2.

Solution: Step 1: Refer to the established seating arrangement for all individuals. Step 2: Locate individual V within the arrangement. Step 3: Identify the person seated directly to V's right. Step 4: Conclude that T is sitting just right to V.

Solution: Step 1: The total number of students in the class is 40. Step 2: Analyze Statement II: "Deepak's rank from the bottom is 23." Deepak's rank from the top = (Total students - Rank from bottom + 1) = (40 - 23 + 1) = 18th. Step 3: Consider Statements I and II together: From Statement I, "Suman is 3 ranks below Deepak from the top." This means Suman's rank is 18 + 3 = 21st from the top. Thus, Statements I and II are sufficient. Step 4: Consider Statements II and III together: From Statement II, Deepak's rank from the bottom is 23. From Statement III, "Suman is 3 ranks above Deepak from the bottom." This means Suman's rank from the bottom is 23 - 3 = 20th. Suman's rank from the top = (Total students - Rank from bottom + 1) = (40 - 20 + 1) = 21st. Thus, Statements II and III are also sufficient. Step 5: Conclude that Suman's rank from the top can be determined by either combining Statements I and II, or by combining Statements II and III.

Solution: Step 1: Identify the hierarchy of social and biological groupings, from the smallest to the largest. Step 2: The most basic unit is a 'Newly married Couple' (3). Step 3: A couple forms a 'Family' (2). Step 4: Families can belong to a 'Caste' (1). Step 5: Castes can be part of a larger 'Clan' (4). Step 6: Ultimately, all these belong to a 'Species' (5). Step 7: The correct meaningful sequence is: Newly married Couple -> Family -> Caste -> Clan -> Species. Step 8: The corresponding numerical order is 3, 2, 1, 4, 5.

Solution: Step 1: Analyze Statement I. 'When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.' From 'Shravan's rank is 17th from the top among all students', there are 17 - 1 = 16 students taller than Shravan overall. From 'Shravan's rank is 12th among boys', there are 12 - 1 = 11 boys taller than Shravan. Number of girls taller than Shravan = (Total students taller than Shravan) - (Boys taller than Shravan) = 16 - 11 = 5 girls. Statement I alone is sufficient. Step 2: Analyze Statement II. 'Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.' This statement provides ranks from the bottom. To find the number of people taller than him, we need his rank from the top or the total number of students/boys. Without this, we cannot determine the number of girls taller than him. Statement II alone is insufficient. Step 3: Conclude. Statement I alone is sufficient to determine the number of girls taller than Shravan.

Solution: Step 1: Analyze given conditions for seating arrangement. Step 2: A is second to the right of E, and E is neighbor of C and G. Step 3: G is neighbor of F. Step 4: D is not neighbor of A, B is not between D and H, and H is not between F and D. Step 5: Determine possible seating arrangement. Step 6: From conditions, C and E must be adjacent.

Solution: Step 1: Based on the implied overall flat arrangement problem, let's establish the initial layout. A common arrangement for such questions is two rows of three flats, with one row facing North and the other facing South. * Assume North-facing flats are Q, T, S (e.g., in a row Q-T-S). * Assume South-facing flats are U, R, P (e.g., in a row U-R-P). Step 2: In the original arrangement, U's immediate neighbor is R. Step 3: Now, consider the interchange of flats P and T. * The new North-facing row would be Q, P, S (T moves to P's spot). * The new South-facing row would be U, R, T (P moves to T's spot). Step 4: In this modified arrangement, U is still in the South-facing row, and R remains next to U. Step 5: Therefore, after interchanging P and T, flat R will be next to U.

Solution: Step 1: Analyze Statement I: 'Monika came after Anita but not after Tanvy'. This implies the order: Anita (A) < Monika (M) < Tanvy (T). Step 2: Analyze Statement II: 'Ratna came after Tanvy but not after Sonal'. This implies the order: Tanvy (T) < Ratna (R) < Sonal (S). Step 3: Combine the orders derived from Statement I and Statement II. Step 4: The combined order is: A < M < T < R < S. Step 5: From the combined order, Sonal (S) came last for the program. Step 6: Since both statements are required to deduce the complete order and identify who came last, 'Both I and II are sufficient'.