GATE Questions

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Given that, upstream distance = 7 kms

Upstream speed = 7/42 x 60 = 10 kms

Speed of the stream = 3 kmph

Let speed in still water = M kmph, then

Upstream speed = M - 3 = 10

=> M = 13 kmph.

0.46 = 46/100 = 23/50.

Sum of the numerator and denominator is 23 + 50 = 73

In first he got Rs. 990

But in second he lost Rs. 1980

So he lost Rs. 990.

Let filling capacity of the pump be 'F' m3/min

Then, the filling capacity of the pump will be (F + 10) m3/min

From the given data,

$$\begin{gathered} 2400F - 2400F+10= 8 \\ ⇒ 2400 F+10-FF(F+10) =8 \\ ⇒ F2 + 10F - 3000 = 0 \\ ⇒ F = 50 m3/min \end{gathered}$$

Let he mixes the oils in the ratio = x : y

Then, the cost price of the oils = 60x + 65y

Given selling price = Rs. 68.20

=> Selling price = 68.20(x+y)

Given profit = 10% = SP - CP

=> 10/100 (60x + 65y) = 68.20(x+y)-(60x + 65y)

=> 6x + 6.5y = 8.20x + 3.20y

=>2.2x = 3.3y

=> x : y = 3 : 2

According to World Bank Indicator India - Land use:

• Agriculture Land - 1797090 sq. Km (about 60.4%). 

• Forest Area - 677598 sq. Km. (about 22.08%). 

• Agriculture Irrigated land - 35 %.

Param Vir Chakra (PVC) is India's highest military decoration awarded for the displaying distinguished acts of valor during the war.

Ashok Chakra Award – An Indian military decoration awarded for valour, courageous action or self-sacrifice away from the battlefield. It is the peacetime equivalent of the Param Vir Chakra.

Kirti Chakra – Second in order of precedence of peacetime gallantry awards.


Maha Vir Chakra (MVC) is literally called a great warrior medal. Vir Chakra is an Indian gallantry award presented for acts of bravery in the wars.

Given 

4 45 of 259.99 = ? % of 1247.9

24/5 x 260 = ? x 1248/100

? = 1248 x 100/1248

? = 100.