GATE Questions

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Hard copy is the output which is printed by the computer.

PM Modi Inaugurated India's Longest Cable Bridge in Gujarat, a four-lane bridge over the river Narmada in Bharuch. The bridge is 1344 metres long and 22.8 metres wide. It is built by Larsen and Turbo as a part of the Rs. 379 crore project of the National Highway Authority of India.

Friend is a person with whom one has a bond of mutual affection, typically one exclusive of sexual or family relations.

Other names for friend are mate, bosom friend, classmate, buddy, ally,...

Except Austriala : Pound, all others are correction combination of country and its currency.

Australian currency is Australian Dollar.

Jupiter has 67 natural satellites. Eight of Jupiter's moons are regular satellites, with 4 large, spherical moons, and 4 smaller moons that orbit closer to Jupiter. Jupiter has an additional 55 tiny irregular satellites.

The planet with the second highest number of moons is Saturn, with 61 moons.

Earth has only one natural satellite i.e, Moon.

Mercury and Venus have no satellites.

Here to say which fraction is greater from the given options, the fraction with greater numerator with same denominator or smaller denominator with same numerator.

To find the greater fraction, among the given options, make the denominators same for the options by finding the LCM of all the denominators.

7/12, 9/16, 13/20, 32/80

Now, LCM of 12, 16, 20, 80 = 240.

Then,

140/240, 135/240, 156/240, 96/240

Here 

$$\begin{gathered} 156240 > 140240 > 135240 > 96240 \\ => 1320 > 712 > 916 > 3280 \end{gathered}$$

Hence, largest fraction = 13/20.

15 girls are absent => b = 2(g-15)...... eqn...(1)

45 boys are absent => g - 15 = 5(b-45).....eqn...(2)

=> g = 5(b-45) + 15

=> b = 2((5(b-45)+15)-15)

=> b = 2(5b - 225 + 15 - 15)

=> b = 2(5b-225)

=> b = 10b - 450

=> 9b = 450

=> b = 50

so from equation(2)

g - 15 = 5(b - 45)

=> g - 15 = 5(50-45)

=> g - 15 = 5(5)

=> g = 25 + 15

=> g = 40

Therefore, the number of boys = 50 and girls = 40

The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....

• Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0.

• An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.