📘 Quiz

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Question 1 / 20
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1
From the group of figures, identify the one that is dissimilar.
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Solution: Step 1: Carefully observe each of the five figures provided. Step 2: Determine if figures can be transformed into one another through rotation. Step 3: Notice that figures (1), (2), (4), and (5) are all rotational variations of a single core design or shape. Step 4: Examine figure (3). It possesses a distinct configuration that cannot be matched by simply rotating any of the other four figures. Step 5: Therefore, figure (3) is the odd one out in this set.
2
Identify the number that does not follow the established pattern in the sequence: 10, 14, 16, 18, 21, 24, 26.
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Solution: Step 1: Examine the given sequence of numbers: 10, 14, 16, 18, 21, 24, 26. Step 2: Observe the properties of each number (e.g., even or odd). - 10 is an even number. - 14 is an even number. - 16 is an even number. - 18 is an even number. - 21 is an odd number. - 24 is an even number. - 26 is an even number. Step 3: Identify the number that deviates from the common pattern. All numbers in the sequence are even, except for 21. Therefore, 21 is the odd one out.
3
Identify the figure from the provided set that is distinct from the others.
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Solution: Step 1: Examine the arrangement of line segments within each figure and identify a potential 'base' line. Step 2: In figures (2), (3), (4), and (5), observe the relationship of the other line segments to a common base. Notice that all other line segments are drawn perpendicular (at 90 degrees) to a single, specific base line. Step 3: Analyze figure (1). Determine if all its line segments are perpendicular to one common base. Step 4: Conclude that figure (1) does not exhibit this property; its line segments are not all perpendicular to a single base. Thus, figure (1) is the different figure.
4
Select the figure that stands apart from the rest of the group.
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Solution: Step 1: Inspect each of the five figures to determine the number of line segments forming them. Step 2: Count the line segments for figures (1), (2), (3), and (5). Each of these figures is composed of three line segments. Step 3: Count the line segments for figure (4). Figure (4) is composed of four line segments. Step 4: Identify that figure (4) has a different number of line segments compared to the majority. Step 5: Therefore, figure (4) is the figure that is different from the rest.
5
How many times in a day do the hands of a clock form a right angle?
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Solution: Step 1: Recall the standard frequency at which the hands of a clock are at right angles. Step 2: In a 12-hour period, the hands of a clock form a right angle 22 times. (This is because they form a right angle twice every hour, except between 2-3 and 8-9 o'clock where it happens only once each). Step 3: A day consists of 24 hours. Step 4: Therefore, in 24 hours, the hands of the clock will form a right angle 22 * 2 = 44 times.
6
Identify the missing figure that completes the given visual pattern.
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Solution: Step 1: Observe the arrangement of figures presented in the matrix (X) and the available options (1, 2, 3, 4). Step 2: Analyze the existing figures to identify a consistent pattern or rule governing their sequence or transformation, either across rows or down columns. Step 3: Deduce the specific changes in shape, position, orientation, number of elements, or shading. Step 4: Apply the identified pattern to determine the characteristics of the figure that should logically replace (X). Step 5: Select the alternative that matches the deduced characteristics to complete the pattern.
7
Determine the numerical value that replaces the question mark, adhering to the consistent mathematical operation.
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Solution: Step 1: Examine the first relationship: Multiply the first two numbers (4 x 6) = 24. Divide the product by the third number (3): 24 / 3 = 8. Step 2: Examine the second relationship: Multiply the first two numbers (6 x 10) = 60. Divide the product by the third number (5): 60 / 5 = 12. Step 3: The pattern is `(first number * second number) / third number = result`. Step 4: Apply this rule to the final set: Multiply the first two numbers (4 x 8) = 32. Step 5: Divide the product by the third number (2): 32 / 2 = 16. Step 6: Therefore, the missing number is 16.
8
Find the value that replaces the question mark in the presented numerical arrangement.
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Solution: Step 1: Analyze the provided examples to discern the pattern. Step 2: For the first example: Calculate (15 - 12) = 3. Calculate (10 - 9) = 1. Then sum these results: 3 + 1 = 4. Step 3: For the second example: Calculate (28 - 12) = 16. Calculate (16 - 20) = -4. Then sum these results: 16 + (-4) = 12. Step 4: The pattern is: (First Number - Second Number) + (Third Number - Fourth Number) = Result. Step 5: Apply this pattern to the final set of numbers: (23 - 11) + (15 - 16) = ?. Step 6: Calculate the first difference: 23 - 11 = 12. Step 7: Calculate the second difference: 15 - 16 = -1. Step 8: Add the two differences: 12 + (-1) = 11. Step 9: The missing number is 11.
9
Determine the value that substitutes the question mark, consistent with the identified numerical pattern.
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Solution: Step 1: Analyze the first pattern: Multiply the first set of three numbers: (5 x 6 x 8) = 240. Multiply the second set of three numbers: (7 x 4 x 9) = 252. Add the two products: 240 + 252 = 492. Step 2: Verify with the second pattern: Multiply the first set: (7 x 5 x 4) = 140. Multiply the second set: (6 x 8 x 9) = 432. Add the two products: 140 + 432 = 572. Step 3: Apply the same rule to the final set of numbers: Multiply the first set: (4 x 3 x 5) = 60. Multiply the second set: (7 x 2 x 5) = 70. Step 4: Add the two products: 60 + 70 = 130. Step 5: Thus, the missing number is 130.
10
How many times do the hands of a clock coincide in a full day?
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Solution: Step 1: Recall the standard frequency at which the hands of a clock coincide. Step 2: In a 12-hour period, the hands of a clock coincide 11 times. (This is because between 11 and 1 o'clock, they coincide only once, at exactly 12 o'clock). Step 3: A day consists of 24 hours. Step 4: Therefore, in 24 hours, the hands of the clock will coincide 11 * 2 = 22 times.
11
Which diagram best represents the relationship between People on the Move, Trains, and Buses?
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Solution: To solve this, we need to consider the relationships between the three categories: Travellers, Trains, and Buses. Travellers can use either Trains or Buses as modes of transportation. This indicates an intersection between the Travellers category and both the Trains and Buses categories. The correct diagram should show Travellers as a category that overlaps with both Trains and Buses but is not limited to either. Based on this logical deduction, the correct answer is option A.
12
Which of the provided figures correctly replicates the dot placement conditions observed in Figure-X?
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Solution: Step 1: Analyze Figure-X. Observe the single dot's position. Step 2: The dot in Figure-X is located in the region where the square and the circle overlap, but *not* any other shape (exclusively common to the square and the circle). Step 3: Examine each alternative figure (1, 2, 3, 4) to find if it contains a region that is exclusively common to the square and the circle. Step 4: Only Figure 4 provides such a unique intersection region for the square and the circle where a dot can be placed matching the condition.
13
Identify the numerical value that replaces the question mark in the final expression, adhering to the established mathematical pattern.
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Solution: Step 1: Examine the first relationship: Multiply the first two numbers (7 x 3) = 21. Add the third number (8): 21 + 8 = 29. Step 2: Examine the second relationship: Multiply the first two numbers (4 x 3) = 12. Add the third number (7): 12 + 7 = 19. Step 3: The pattern is `(first number * second number) + third number = result`. Step 4: Apply this rule to the final set. Let the missing number be '?'. So, (5 x ?) + 6 = 31. Step 5: Simplify the equation: 5? + 6 = 31. Step 6: Subtract 6 from both sides of the equation: 5? = 31 - 6 => 5? = 25. Step 7: Divide by 5 to solve for ?: ? = 25 / 5 = 5. Step 8: Thus, the missing number is 5.
14
Describe the group represented by the number 7 in the diagram.
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Solution: Step 1: Locate the number '7' within the provided diagram. Step 2: Identify all categories (e.g., shapes, labels) whose regions encompass the location of '7'. Step 3: Based on the diagram's legend and the position of '7', it represents 'Married nurses in the hospital' (implying they are not trained if 'trained' is a distinct overlapping category).
15
Which of the given figures offers the identical conditions for dot placement as displayed in Figure-X?
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Solution: Step 1: Examine Figure-X to identify the locations of the three dots. Step 2: Dot 1 is in the region common to the circle and triangle ONLY. Step 3: Dot 2 is in the region common to ALL THREE figures: circle, square, and triangle. Step 4: Dot 3 is in the region common to the circle and square ONLY. Step 5: Evaluate alternative figures (1, 2, 3, 4) to determine which one contains all three of these specific regions. Step 6: Figures 1 and 3 lack the region common to the circle and square only. Step 7: Figure 2 lacks the region common to the circle and triangle only. Step 8: Only Figure 4 contains all three required types of regions, matching the conditions of Figure-X.
16
Choose the appropriate figure from the four given options that completes the visual pattern in the figure matrix.
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Solution: Step 1: Analyze the pattern in the given figure matrix by observing relationships across rows and columns. Step 2: Identify that in each row (and also each column), the third figure is formed by combining all the unique elements of the first and second figures. Step 3: Apply this identified rule to the incomplete row/column to determine which elements must be present in the missing figure. Step 4: Select the alternative that accurately represents the figure formed by combining the unique elements from the preceding figures in its row/column.
17
Count the total number of triangles present in the provided geometric figure.
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Solution: Step 1: Identify and count the simplest triangles (one component): AFJ, FJK, FKB, BKG, JKG, JGC, HJC, HIJ, DIH, DEI, EIJ, AEJ. (12 triangles) Step 2: Identify and count triangles composed of two components: JFB, FBG, BJG, JFG, DEJ, EJH, DJH, DEH. (8 triangles) Step 3: Identify and count triangles composed of three components: AJB, JBC, DJC, ADJ. (4 triangles) Step 4: Identify and count triangles composed of six components: DAB, ABC, BCD, ADC. (4 triangles) Step 5: Sum all identified triangles: 12 + 8 + 4 + 4 = 28. Step 6: Therefore, there are 28 triangles in the given figure.
18
Identify the missing term in the sequence: 15, ?, 39, 71, 135, 263
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Solution: Step 1: Analyze the given series: 15, ?, 39, 71, 135, 263 Step 2: Calculate differences between consecutive terms: - ? - 15 - 39 - ? - 71 - 39 = 32 - 135 - 71 = 64 - 263 - 135 = 128 Step 3: Observe the pattern in differences: 8, 16, 32, 64, 128 (doubling each time) Step 4: Apply the pattern to find the missing difference: - First difference should be 8: ? - 15 = 8 Step 5: Solve for the missing number: ? = 15 + 8 = 23 Step 6: Verify the sequence with the found number: 15, 23, 39, 71, 135, 263 Step 7: Confirm the differences: 8, 16, 32, 64, 128
19
Count the total number of parallelograms in the provided figure.
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Solution: Step 1: Label the figure for systematic counting. Step 2: Count parallelograms composed of two components: ADME, DFNM, EMOG, FHJN, MNKO, GOLI, HBJN, NJKO, OKLI, FHNM, MNOG, DFME, HJKN, NKLO, OLCI, FNOM, MOIG, DMGE (Total: 18). Step 3: Count parallelograms composed of four components: HOKB, NILJ, FGOH, HOLJ, NICK, FGIN, FMJB, DENH, MGKJ, MGCL, DEIO, FMLK, AENF, AGOD, DMJH, DOKF, EILM, EGKN (Total: 18). Step 4: Count parallelograms composed of six components: AEJH, DAIL, DECL, DEJB, HILB, HICJ (Total: 6). Step 5: Count parallelograms composed of eight components: FGKB, FGCK, AGKF (Total: 3). Step 6: Sum all counted parallelograms: 18 + 18 + 6 + 3 = 45.
20
Which number indicates trained unmarried nurses within the hospital?
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Solution: Step 1: Identify the region representing 'Trained' individuals. Step 2: Identify the region representing 'Nurses in the hospital'. Step 3: Identify the region representing 'Married' individuals. Step 4: Find the numerical value that is located in the intersection of 'Trained' and 'Nurses in the hospital', but *outside* the 'Married' region. Step 5: The number '4' correctly represents trained unmarried nurses in the hospital.
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