Math Problem Statement

solve these questions please

solve these questions please

Solution

I can help you solve these logical reasoning questions from the image. Let's go through them one by one:

1. Find the correct water image of the given figure.

The original figure shows a "%" symbol and a square divided into four parts with shading in two adjacent corners. The water image means reflecting the image along a horizontal axis (as if it were flipped upside down). The shaded areas should be inverted in the reflection. Option C is the correct answer, as the shading in the reflection matches the original figure.

2. Direction problem: Mayank's movement

  • Mayank first goes 50 m south.
  • He then turns left and goes 20 m, meaning he goes east.
  • Finally, he turns north and moves 30 m.

Now, from his original point, he is:

  • 50 m south, then 30 m north, so he is 20 m south overall.
  • He is also 20 m east.

Relative to his original point, he is to the South-East, so the correct answer is B. South-East.

3. Find the missing number if the same rule is followed in all three figures.

  • The pattern involves alternating between subtraction and division. Let's examine the first and second sets:

    • 274=23and27÷3=927 - 4 = 23 \quad \text{and} \quad 27 \div 3 = 9
    • 7213=59and72÷9=872 - 13 = 59 \quad \text{and} \quad 72 \div 9 = 8

    Applying the same logic for the third set:

    • 6511=5465 - 11 = 54
    • 65÷7=965 \div 7 = 9

Therefore, the missing number is 9, so the answer is B. 9.

4. Symbol on the opposite face (net problem)

When you fold the net, the opposite face of the "*" symbol will be the one on the opposite side of the net. After folding, the opposite symbol is C. $.

5. Which figure continues the series?

The shaded segment of the circle rotates 90 degrees clockwise each time. Following this pattern, the next figure will have the shaded area in the lower-left quadrant. The correct answer is D.

6. Find the sum of digits of the third-highest number formed.

You are asked to:

  1. Interchange the first and second digits of each number.
  2. Subtract 1 from the third digit.

Let’s apply these steps:

  • 375735,7351=734375 \to 735, 735 - 1 = 734
  • 463643,6431=642463 \to 643, 643 - 1 = 642
  • 567657,6571=656567 \to 657, 657 - 1 = 656
  • 728278,2781=277728 \to 278, 278 - 1 = 277
  • 639369,3691=368639 \to 369, 369 - 1 = 368

The numbers are 734, 642, 656, 277, and 368. The third-highest number is 656. The sum of its digits is: 6+5+6=176 + 5 + 6 = 17 So, the correct answer is B. 17.

7. Relationship between pairs of numbers.

The given pair is 8:568 : 56. This is a multiplication relationship: 8×7=568 \times 7 = 56 Applying the same logic to 9:?9 : ?: 9×7=639 \times 7 = 63 So, the correct answer is C. 72.

8. Transparent sheet folding.

When the transparent sheet is folded along the dotted line, the line will overlap the diagonal of the square. The correct answer is A.


Do you want further clarification or details for any of these solutions? Here are 5 related questions to deepen your understanding:

  1. How do reflection and rotation work in image-based problems?
  2. What is the importance of direction and movement in logical puzzles?
  3. How can you identify numerical patterns in reasoning tests?
  4. How are 3D shapes unfolded and folded in cube and net problems?
  5. What techniques can be used for solving pattern-based reasoning questions?

Tip: When dealing with direction-based questions, visualize the movements step by step to avoid confusion.

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Math Problem Analysis

Mathematical Concepts

Reflection and Rotation
Geometric Patterns
Arithmetic Operations

Formulas

Subtraction and Division Rules
Multiplication by Constant Factor

Theorems

Symmetry
Rotation Patterns

Suitable Grade Level

Grades 6-9