GATE Questions

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If we count letters till the end of the alphabet including that letter in reverse order then
Here the values are nothing but the values corresponding to the alphabets when taken in a reverse order,i.e,A=26 ,B=25...,Z=1
G = 20 and O = 12 totaling 32
S = 8, H = 19 and E = 22 totaling 49

So
SOME = 8 + 12 + 14 + 22 = 56.

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.

Detailed description of a man's life is Biography.

Similarly, detailed description of a Nations is called History.

As Tennis is a kind of Sport, similarly, Chemistry is a kind of science.

Hence, Tennis : Sport :: Chemistry : Science.

Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 m

Average speed of man= total distance/ total time
=> 54/13 = 4213 kmph

Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.

Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x

9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9

9b+3 = 9*13+3 = 120
ie, x=120

substituting
7a+1 = 120
7a = 119
a = 17

11c-1 = 120
11c = 121
c=11

14e-6 = 120
14e = 126
e = 9

Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

The given number series is 9 7 10 6 11 ?

Here in this we have two number sequences, they are

9, 10, 11, ... and 7, 6, 5, ...

Hence, the next number in the given number series is 6 - 1 = 5.

Let the capacity of the pot be 'P' litres.
Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
After adding milk, quantity of milk in the mixture = 6/11 P.
6P/11 - 8 = 4/9(P - 8)
10P = 792 - 352 => P = 44.

The capacity of the pot is 44 liters.