Question Discussion & Solution

1) Lalit scored 72 marks in 100-mark test.

Shubham scored 8 marks more than Lalit but 6 marks less than Sunil.

Thus, Shubham’s marks = 72 + 8 = 80

Sunil’s marks = 80 + 6 = 86

Therefore, Lalit < Shubham < Sunil.

2) Ravi scored 6 marks less than Daniel, and 7 marks more than Sunil.

Ravi’s marks = Sunil’s marks + 7

Daniel’s marks = Ravi’s marks + 6

Thus, Sunil < Ravi < Daniel.

Now, we have the following order:

Lalit < Shubham < Sunil < Ravi < Daniel

Second lowest = second in ascending order.

Let the three consecutive numbers be x, x + 1, x + 2

⇒ x + (x + 1) + (x + 2) = 345

⇒ 3x + 3 = 345

⇒ 3x = 345 – 3 = 342

\(\Rightarrow x = \frac{{342}}{3} = 114\)

So the three consecutive numbers are 114, 115 and 116. And the middle number is 115.

Y → Position value of Y is 25 which square of 5.

P → Position value of P is 16 which square of 4

I → Position value of I is 9 which square of 3

D → Position value of D is 4 which square of 2

Therefore, square of 1 is 1 and that corresponds to A.

The pattern is,

So, we get:

E = 1,

R = 8,

A = 7,

D = 3

Hence, 3781 is the correct answer.

The correct answer is 4°C.

• Freezing of Water:
  • As water freezes, cold water (or ice formed) comes on the surface and warm water goes down.
  • Since the freezing temperature of the water is 0ºC or 273 K.
  • So water at the bottom should be at a higher temperature.
  • Water density at 4ºC is more than the density of water at 0ºC, hence the correct option is 4ºC.

​Key Points

• Reason of low temperature at bottom of the top layer:
  • This is due to the process of convection.
  • When the temperature of the water at the top layer reaches the freezing point, it is converted to ice.
  • But ice is lighter than water, so it will not sink to the bottom.
  • So there will be ice on the top surface and water would remain at the bottom of the lake.