GATE Questions

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Given Transition is to Change, and we know that Transition and change are Synonyms. Similarly, Immobility means not moving and synonym of immobility are motionlessness, stillness,...

Hence, Transition is to change as immobility is to stillness.

The given series 

12   24   26.5   79.5   ?   330 follows a pattern that,

12 x 2 = 24

24 + 2.5 = 26.5

26.5 x 3 = 79.5

79.5 + 3 = 82.5

82.5 x 4 = 330

Hence, the missing number is 82.5

Poor people have Nothing

Rich people need Nothing

If you eat Nothing you die.

Hence, it is Nothing.

We can get this by any of two explanations.

Answer 1: 41

7 = 3 + 4  = 34

Similarly, 5 = 4 + 1  = 41

Answer 2 :  41

7 - 3 = 4  => 34

Similarly, 5 - 4 = 1  => 41

Let 1 woman's 1 day work = x.

Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.

Variable means changes or shifts timely. Hence, synonym of variable is shifting.

The terms of the series are products of two consecutive prime numbers i.e.

(2 x 3), (3 x 5), (5 x 7), (7 x 11),.....

So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.