GATE Questions

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A touch screen is the only device which works as both an input and an output device among the given options. You view the options available to you on the screen (output) and you then use your finger to touch the option that you have chosen (input).

Hence, Screen is not purely output device.

LCM of (80, 85, 90) can be found by prime factorizing them.

80 → 2 × 2 × 2 × 2 × 5

85 → 17 × 5

90 → 2 × 3 × 3 × 5

L.C.M of (80,85,90) = 2 × 2 x 2 × 2 × 3 × 3 × 5 × 17

= 16 x 9 x 85

= 144 x 85

= 12240

L.C.M of (80,85,90) = 12240.

This can be done in a method called Approximation.

Now, 

$$\begin{gathered} 52 + 63 + 6 + 72 = ? x 3.34 \\ 25 + 216 + 6 + 49 = ? x 3.34 \\ 296 = ? x 3.34 \\ ? = 2963.34 = 88.622 ≅ 89 \end{gathered}$$

An odometer is an instrument which is used to measure Mileage of a vehicle. In the same way, Compass is an instrument used to know the direction.

Hence, Odometer : Mileage :: Compass :: Direction.

1 man's 1 day work = 1/108
12 men's 6 day's work = 1/9 x 6 = 2/3

Remaining work = 1 - 2/3 = 1/3

16 men's 1 day work = 1/108 x 16 = 4/27
4/27 work is done by them in 1 day.

1/3 work is done by them in 27/4 x 1/3 = 9/4 days.

From the given information in the question
24 ÷ 4 + 6 - 3 x 4
6 + 6 - 12 = 0

The poison was in the ice. When the girl drank the iced tea, the ice was still fully frozen. Gradually, as the ice cubes melted the poison was released into the drink.

Hence, the girl who died, drunk the tea after the ice melted. So, she was died. 

B2+ is a Paramagnetic. 

The filled orbitals are σ(1s)22, σ∗(1s)22, σ(2s)22, σ∗(2s)22. The half-filled orbitals are π(2pxx) and π(2pyy). Since it posses 2 unpaired electrons, it is Paramagnetic in nature.