GATE Questions

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Here the given series 1, 6,  ?, 15, 45, 66, 91 follows a

Pattern in the series is, +5, +9, +13,...,.. +21, +25

So +4 is getting increased at every term addition.

Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.

Fumble means grope, mishandle, drop, mistake, blunder, bungle.

Finesse means skill, grace, elegance, assurance, diplomacy, discretion.

So, they are opposites.

Similarly,

Malign means slander or criticize.

Extol means being kind or good-natured. A person without finesse often fumbles. A person without extol in his heart often maligns.

Extol means praise or exalt, benevolence

We know that 

$$\begin{gathered} 40% = 40100 = 25 \\ ⇒25 x 244 x ? = 48 \\ ? = 48 x 5 x 42 x 24 = 20 \end{gathered}$$

By replacing the “?” with “x”

(12.5×14÷8.75) x (100/100) + 42 = 50 + X

(125*140)/875 + 42 = 50 + X

140/7 + 42 = 50 + X

20 + 42 = 50 + X

62 = 50 + X

X = 62 - 50

X = 12

Given Number series is :

3   4   14   48   576   27648

It follows a pattern that,

3

4

4 x 3 = 12   but not 14

12 x 4 = 48

48 x 12 = 576

576 x 48 = 27648

Hence, the odd one in the given Number Series is 14.

If the period between the two months is divisible by 7, then that two months will have the same calender .

 
(a). Oct + Nov  = 31 + 30 = 61 (not divisible by 7)

(b). Apr + May + Jun + Jul + Aug + Sep + Oct = 30 + 31 + 30 + 31 + 31 + 30 + 31  = 214 (not divisible by 7)

(c). Jun + July + Aug + Sep = 30 + 31 + 31 + 30 = 122 (not divisible by 7)

(d). Apr + May + June = 30 + 31 + 30 = 91 (divisible by 7)

Hence, April and July months will have the same calendar.

Uranus is the seventh planet from the Sun which looks green color. It has the third-largest planetary radius and fourth-largest planetary mass in the Solar System. Uranus is similar in composition to Neptune, and both have different bulk chemical composition from that of the larger gas giants Jupiter and Saturn.

Colors of other planets::

Mercury - Gray or slightly brownish

Venus - Pale yellow

Earth - Blue with white clouds

Mars - Mostly reddish brown

Jupiter - Orange and white bands

Saturn - Pale gold

Uranus - Green

Neptune - Pale blue

Pluto - Light brown

The point or place of origin of an earthquake is called Focus. 

And,

The point where the seismic waves reach the surface is called as Epicenter.