Number Series Analogy and Logical Reasoning

The pattern involves reversing the letters of the word "SCHOOL." When reversed, "SCHOOL" becomes "LOOHCS." Similarly, applying this reversal to "MARKET" results in "TEKRAM." Therefore, the correct representation of "MARKET" following the same logic is "TEKRAM."

To find the number, let’s denote it as \( x \). According to the problem, when \( x \) is multiplied by 3 and then 5 is added, the result equals 26. This can be expressed with the equation \( 3x + 5 = 26 \). By subtracting 5 from both sides, we get \( 3x = 21 \). Dividing both sides by 3 yields \( x = 7 \). Thus, the number that satisfies the equation is 7.

In a 2 × 2 square grid, there are four small 1 × 1 squares, one for each cell in the grid. Additionally, there is one larger square that encompasses the entire 2 × 2 grid. Therefore, when counting all the squares, you have 4 small squares plus 1 large square, totaling 5 squares.

At 3:00, the hour hand points directly at the 3, while the minute hand points at the 12. Each hour mark on a clock represents 30 degrees (360 degrees divided by 12 hours). Therefore, the angle between the 12 and the 3 is 3 hours × 30 degrees/hour = 90 degrees. This means the angle between the hour hand and the minute hand at 3:00 is 90 degrees.

In a row of 5 children, if Meera is standing exactly in the middle, she occupies the 3rd position. This means there are two children standing before her in the 1st and 2nd positions. Therefore, the number of children standing before Meera is 2.

To determine the day after 17 days from Wednesday, we can calculate the remainder when 17 is divided by 7 (the number of days in a week). Dividing 17 by 7 gives a remainder of 3. This means that 17 days from Wednesday is 3 days later. Counting forward, Wednesday + 3 days leads to Thursday (1), Friday (2), and Saturday (3). Thus, after 17 days, it will be Saturday.

All roses are classified as flowers, which is a fundamental characteristic of roses. The statement "All roses are flowers" is a direct inference from the premise, establishing a clear relationship. The other statements cannot be definitively concluded based on the provided information about the color of some flowers or the relationship between flowers and roses. Thus, the only unambiguous truth is that all roses belong to the category of flowers.

Ravi is taller than Arun, and Arun is taller than Binu. This establishes a clear hierarchy of height: Ravi > Arun > Binu. Since Binu is at the bottom of this comparison, he is the shortest among the three individuals. Therefore, Binu is the one who is shortest.

Anu starts facing east. When she turns left for the first time, she faces north. A second left turn from north directs her to face west. Therefore, after two left turns, Anu is facing west.

After walking 5 metres north, the boy is initially facing north. When he turns right, he changes his direction to face east. Therefore, after walking 3 metres in that direction, he is now facing east.

The sequence involves multiplying each number by 2 to get the next number. Starting with 3, multiplying by 2 gives 6; multiplying 6 by 2 results in 12; then, 12 multiplied by 2 equals 24. Continuing this pattern, 24 multiplied by 2 yields 48, which is the next number in the sequence.

To find the value of "BAD," we assign numerical values to each letter based on their position in the alphabet: B = 2, A = 1, and D = 4. We then combine these values to calculate "BAD" as follows: B (2) + A (1) + D (4) = 2 + 1 + 4 = 7. Thus, the value of "BAD" is 7.

In the given coding, each letter of the word "CAT" is shifted forward by one position in the alphabet: C (3) becomes D (4), A (1) becomes B (2), and T (20) becomes U (21). Applying the same logic to "DOG": D (4) shifts to E (5), O (15) shifts to P (16), and G (7) shifts to H (8). Therefore, DOG is coded as EPH.

A bird builds a nest as a place for shelter and to raise its young. Similarly, a bee constructs a hive, which serves as its home and a location for nurturing its larvae and storing honey. Both the nest and hive are essential structures for the respective species' reproductive and survival needs, making "hive" the appropriate completion of the analogy.

The circle is the odd one out because it is a shape defined by a single continuous curve with no straight edges or vertices, while the triangle, square, and rectangle are all polygons characterized by straight sides and angles. This fundamental difference in their geometric properties distinguishes the circle from the other three shapes.

The numbers 16, 25, and 36 are all perfect squares (4², 5², and 6², respectively), while 45 is not a perfect square. This distinguishes 45 from the other numbers, making it the odd one out in this set.

A book is a medium for reading, just as a pen is a tool for writing. Both items serve specific functions: books provide content to be read, while pens are used to create written content. This relationship highlights how one item is essential for the activity associated with the other, making "writing" the most appropriate choice in this analogy.

The sequence progresses by multiplying each number by 3. Starting with 2: 2 × 3 = 6, 6 × 3 = 18, and 18 × 3 = 54. Continuing this pattern, 54 multiplied by 3 gives 162. Thus, the missing number in the sequence is 162.

The pattern in the sequence involves decreasing numbers where the differences between consecutive terms are progressively smaller. Starting from 100, the differences are 10 (to 90), 9 (to 81), 8 (to 73), and 7 (to 66). Following this pattern, the next difference should be 6. Subtracting 6 from 66 gives 60, which is the next number in the sequence.

The sequence increases by consecutive odd numbers: 5 to 10 is +5, 10 to 17 is +7, 17 to 26 is +9, and 26 to 37 is +11. The pattern shows that the difference increases by 2 each time. Following this pattern, the next difference after +11 would be +13. Adding 13 to 37 gives 50, which is the missing number in the sequence.