GATE Questions

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A Bill becomes a Law; a Larva becomes an insect. (Or)

A Bill turns into a law; a Larva turns into an Insect.

23*3*x=14076
69*x=14076
= 69 =204

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

Given series is A F Z U G L T _

Starts with A

A + 5 letters = F

go to end of alphabet= Z

Z - 5 letters = U

from F go one more to G + 5 letters = L

from U go one back to U, T - 5 letters = O

Second Method ::

Change the letters to their corresponding number.

A=1

B=2

C=3

...

Z=26

A F Z U G L T _

1 6 26 21 7 12 20 ?

Look at the pattern: the 1st and 3rd numbers = 27, 1+26

the 2nd and 4th numbers = 27, 6+21

the 5th and 7th numbers = 27,

so the 6 and 8th would also equal 27.

27 - 12 = 15,

so the letter is O.

125 over 1000 in Simplest Form means 1251000 in its simple fraction form.

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

HCF of 125, 1000 = 125

Then, divide both numerator and denominator by 125

i.e, 1251251000125 = 18

Hence, 18 is the simplest form of 125 over 1000.

The given number puzzle can be soved in two ways.

Logic 1 ::

Row 1  - 2 x 3 = 6 , 6 x 3 = 18

Row 2  - 4 x 5 = 20 , 20 x 5 = 100

Row 3  - 3 x 7 = 21 , 21 x 7 = 147

Hence, the missing number could be 3.

Logic 2 ::

Row 1 - 6 x (2+1) = 18

Row 2 - 20 x (4+1) = 100

Row 3 - 21 x (6+1) = 147

Hence, the missing number could be 6.

Therefore, 3 or 6 is the right answer.

Given that the next word should start with the ending two letters of the previous word. From this,

The first word is

SHIVER

Now, the next word should start with ER and must contain OT in the middle.

EROTIC

Now, the next word should start with IC and must contain IC in the middle.

ICICLE

Now, the next word should start with LE and must contain NG in the middle.

LENGTH

Now, the next word should start with TH and must contain RA in the middle.

THRASH

Hence, the required five words are SHIVER, EROTIC, ICICLE, LENGTH, THRASH.