Question Discussion & Solution

The positions of the letters according to the English alphabet series:

The pattern for this code is as follows;

Similarly;

Hence, "HFIZG" is the correct answer.

Shortcut Trick

Shortcut to remember the reverse positional letters.

The least possible diagram from the given statements is shown below:

Conclusion I: Some black are red → False (It is a possible case but not a definite case)

Conclusion II: Some blue are red → True (It is a definite case)

Hence, only conclusion II follows.

The logic is,

In the first image, there are three and four-sided figures in the first column and four and three-sided figures in the second column.

In the second image, there are four and five-sided figures in the first column and three and two-sided figures in the second column.

In the third image, there is five-sided figure in the first column and only two lines in the second column.

So, we get that the side of the figure is increasing by one in both the figures of the column while a side is decreasing by one in both the figures of the second column. Thus, the third figure must be as follows:

Hence, option 4 is the correct answer.

The correct answer is option 4) i.e. kg-1 m2

CONCEPT:

• Gravitational constant, G: G is a physical constant and therefore is universal in nature and has a constant value everywhere.
  • The value of G does not change with respect to time or place and is equivalent to 6.674 × 10-11 N m2 kg-2
  • The SI unit of G is N m2 kg-2
• Acceleration due to gravity, g: It is the acceleration of a body due to the force exerted from the earth's gravity.
  • It has a constant value of 9.8 m/s² within the surface of Earth.
  • The SI unit of g is m s^-2

EXPLANATION:

The unit of G = N m2 kg-2 = (mass × acceleration)m2 kg-2 = (kg × m/s²)m2 kg-2     (∵ N is the SI unit of force)

The unit of g = m s^-2​

Ratio, \(\frac{G}{g} = \frac{m^3 kg^{-1 }s^{-2 }}{m s^{-2}} =\) kg-1 m2

1) × and ÷

Given statement: 46 ÷ 2 -­ 7 × 3 + 5 = 39

On interchanging the above signs,

46 × 2 ­- 7 ÷ 3 + 5

= 46 × 2 ­- 2.33 + 5

= 92 ­- 2.33 + 5

= 97 -­ 2.33

= 94.67 ≠ 39

2) ­- and ×

Given statement: 46 ÷ 2 -­ 7 × 3 + 5 = 39

On interchanging the above signs,

46 ÷ 2 × 7 -­ 3 + 5

= 23 × 7 -­ 3 + 5

= 161 ­- 3 + 5

= 166 ­- 3

= 163 ≠ 39

3) + and ×

Given statement: 46 ÷ 2 -­ 7 × 3 + 5 = 39

On interchanging the above signs,

46 ÷ 2 7 + 3 × 5

= 23 ­- 7 + 3 × 5

= 23 ­- 7 + 15

= 38 7

= 31 ≠ 39

4) + and ­-

Given statement: 46 ÷ 2 -­ 7 × 3 + 5 = 39

On interchanging the above signs,

46 ÷ 2 + 7 × 3 ­- 5

= 23 + 7 × 3 ­- 5

= 23 + 21 ­- 5

= 44 -­ 5

= 39