GATE Questions

---

Here to say which fraction is greater from the given options, the fraction with greater numerator with same denominator or smaller denominator with same numerator.

To find the greater fraction, among the given options, make the denominators same for the options by finding the LCM of all the denominators.

7/12, 9/16, 13/20, 32/80

Now, LCM of 12, 16, 20, 80 = 240.

Then,

140/240, 135/240, 156/240, 96/240

Here 

$$\begin{gathered} 156240 > 140240 > 135240 > 96240 \\ => 1320 > 712 > 916 > 3280 \end{gathered}$$

Hence, largest fraction = 13/20.

The four bonds of carbon tetrachloride (CCl4) are polar, but the molecule is nonpolar because the bond polarity is cancelled by the symmetric tetrahedral shape. Hence, making the net dipole as zero and molecule as non-polar.

When other atoms substitute for some of the Cl atoms, the symmetry is broken and the molecule becomes polar.

An assertive sentence is a sentence that state, assert, or declare something. It means it is a simple statement making thing. As it declares something, is also called as Declarative sentence.

Examples of assertive sentence or statements ::

1. Anamika loves him very much.

2. He picks her daily.

3. Attitude is everything.

4. The sun sets in the west.

5. She likes roses.

6. He is a student.

7. Karthik planned a tour.

8. Peacock is a beautiful bird.

9. India is our country.

10. Joel want to be a doctor.

A computer has two types of memory.

1. Non-volatile and

2. Volatile.

Volatile memory is computer memory that requires power to maintain the stored information.

* It is a temporary memeory which cannot contain information permanently.

Example :: RAM or Random Access Memory

Non-volatile memory is computer memory that can retain the stored information even when not powered.

* It is a permanent memory in which data is stored in permanently.

Examples :: Hard disc, ROM, Floppy discs, Magnetic tape,...

55.55 + 155 + 15.55 + 0.5 + 0.05 = ?

 55.55

155.00

 15.55

   0.5

   0.05

_______

226.65

_______

Hence, the value of the given equation 55.55 + 155 + 15.55 + 0.5 + 0.05 = 226.65.

Let the speed of the train be 'S' kmph

From the given data,

Distance = Length of train = D = 200 mts = 200 x 18/5 kms

Time = 10 sec

given speed of the motorcycler = 12 kmph

Relative speed as they are moving in the same direction = (S - 12) kmph

$$\begin{gathered} (S- 12) = 200 x 18515 \\ S - 12 = 48 \\ S = 60 kmph \\ \end{gathered}$$

Hence, the speed of the train = S = 60 kmph

Now,

Let the speed of the jeep be 'x' kmph

$$\begin{gathered} 60 - x = 200 x 18520 \\ 60 - x = 36 \\ x = 60 - 36 \\ x = 24 kmph \end{gathered}$$

Therefore, the speed of the jeep = x = 24 kmph.

Biogeochemical cycles are crucial to ecosystem function because ::

1. Chemical elements are available in only limited amounts and must be recycled.

2. Nutrients and other life-sustaining molecules are in limited supply and must be continually recycled.

From the trial and error method of division,

201 is divisible by 3

205 is divisible by 5

203 is divisible by 7

Hence, after eliminating three options, remained is 211 and is divisible by only 1 and itself. 

Therefore, 211 is the smallest prime number greater than 200.