GATE Questions

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If a number to be divisile by 88, it should be divisible by both "8" and "11"

Check for '8' :
For a number to be divisible by "8", the last 3-digit should be divisible by "8"
Here 72x23y --> last 3-digit is '23y'
So y=2 [ (i.e) 232 is absolutely divisible by "8"]

Chech for '11' :
For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"
(7 + x + 3) - (2 + 2 + y)
(7 + x + 3) - (2 + 2 + 2)
(10 + x) - 6 should be divisible by "11"
for x = 7
=> 17 - 6 = 11 [ which is absolutely divisible by "11"]

So x = 7 , y= 2.

Total Items = 7
Discounted = 1
Percentage = 1/7 x 100
= 14.285%

Let number of 2 wheelers be 'x'
and 4 wheelers be 'y'

Given total number of vehicles = 200
i.e, x + y = 200 ....(1)

Given total number of wheels = 580
i.e, 2x + 4y = 580 ...(2)

By solving (1)&(2), we get

y = 90
=> x = 110

Therefore, number of two wheelers = 110
number of four wheelers = 90

A Kangaroo is what jumps when walking and sit when it is in standing.

(385/1001) = 5/13

First Number is 5

=> Fourth number is 13 

Hydrogen gas is used for making vegetables and vanaspathi from vegetable oils.

As it is colourless, odourless, tasteless, flammable gaseous substance, it is added to oils to make them more solid or spreadable.

The use of hydrogenation helps to prolong the shelf life of the food and maintain flavour stability.

A semi-mechanised car park, the first of its kind in Jammu and Kashmir, was inaugurated by Chief Minister Mehbooba Mufti who hoped the facility would ease traffic congestion in and around Lal Chowk. The multi-level car park, located near the old KMD bus stand on Maulana Azad Road, has been set up at a cost of Rs 27.15 crore and has a capacity to hold 288 vehicles.

By hit and trail, we find that

47619 x 7 = 333333.

7) 333333 (47619
    333333
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        0

And 476190476 x 7 = 3333333333 but smallest number is 47619.