GATE Questions

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The only gem of world made of a single element is Diamond.

Let the marked price of the router be Rs. P

From the given data,

$$\begin{gathered} P x 85100 - P x 80100 = 51 \\ P x 5100 = 51 \\ ⇒ P = 51005 = 1020 \end{gathered}$$

Hence, the original marked price of the router is Rs. 1020.

Let the present ages of Kapil and Avanthi be K & A

Given difference in their ages = K - A = 9 years ...........(1)

After 7 years, K + 7 =  2(A + 7) ......(2)

K + 7 = 2A + 14

K - 2A = 7 ............(3)

K - A = 9 ....(1)

From (1) & (3),

-A = -2

=> A = 2 years

=> K = 9 + 2 = 11 years

Required, age of Kapil after 4 years = 11 + 4 = 15 years.

The alphabet 'B' resembles same as a fly 'Bee' in pronouncing.

Given for year = 70000

=> 365 days = 70000

=> 365 x 24 hours = 70000

=>   1 hour = ?

70000/365x24 = 7.990 = 8

Chemical Compounds with stronger intermolecular forces have higher boiling points.

The order of strengths of intermolecular forces is:

 London dispersion < dipole-dipole < H-bonding

${\text{Methane (CH}}_{\mathrm{4)}}$ — London dispersion forces

${\text{Dimethyl ether (CH}}_3{\text{OCH}}_{\mathrm{3)}}$ — dipole-dipole attractions

${\text{Methanol (CH}}_3\text{OH)}$ — hydrogen bonding

Therefore, ${\text{Methanol -}}^{}$${\text{CH}}_3\text{OH}$$\text{with H-Bonding have highest Boiling Point among the given chemical compounds.}$