GATE Questions

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Let the total number of valid votes be 'V'.

70% of V = 70/100 x V = 7V/10

Number of votes secured by the other candidate = V - 7V/100 = 3V/10

Given, 7V/10 - 3V/10 = 172 => 4V/10 = 172

=> 4V = 1720 => V = 430.

To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 80 litres.

=> the amount of diesel required to cover a distance of 1000 kms = 1000 x 80/800 = 100 litres

However, the vehicle uses a 1200 cc engine and it is given that the amount of diesel required varies directly as the engine capacity.

i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too.

Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800 x 100 = 150 litres.

Let marked price = Rs. 100.
Then, C.P. = RS. 54,
S.P. = Rs. 85
Gain % = 31/64 x 100 = 48.4%.

The one word substitute for 'a drawing on transparent paper' is Transparency.

Let the price of each note book be Rs.x.

Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.

Hence xy = 300

=> y = 300/x

(x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy

=>5(300/x) - 10x - 50 = 0 => -150+x2+5x

multiplying both sides by -1/10x

=> x2+15x-10x-150=0

=> x(x + 15) - 10(x + 15) = 0

=> x = 10 or -15

As x>0, x = 10.

As per the latest updates, India is :

• Largest producer of milk.

• Largest producer of millets in the world.

• Largest producer of jute.

• Largest producer of ginger.

• Largest producer of bananas.

• Largest producer of castor oil seeds.

• Largest producer of mangoes.

• Largest producer of safflower oil seeds.

• Largest producer of papayas.

• Largest producer of cottonseed (As per International Cotton Advisory Committee (ICAC) report for the month of March 2017)

• Second largest producer of tea, the first position being held by China.

• Second largest producer of sugarcane, the first position being held by Brazil.

• Second largest producer of wheat, the first position being held by China.

• Second largest producer of onions, the first position being held by China.

• Second largest producer of potatoes, the first position being held by China.

• Second largest producer of garlic, the first position being held by China.

• Second largest producer of rice, the first position being held by China.

• Second largest producer of cement., next to China.

• Second largest producer of silk, the first position being held by China.

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40