GATE Questions

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In flowering plants one sperm nucleus fertilizes the egg and the other sperm nucleus fuses with two other nuclei found within the ovule, thus forming triploid endosperm.

Hence, double fertilization is unique to flowering plants.

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.

Here Lizard is a type of Reptiles whereas Orchid is a type of flowers. Other than Orchids all are parts of Plants.

Hence, Reptile is to Lizard as Flower is to Orchids.

The Highest bridge in the world is Bailey bridge. It is located in the Ladakh valley between Dras and Suru rivers in the Himalayan mountains. It was built by the Indian Army in August 1982.

It is 30 meters (98 ft) long and is at an altitude of 5,602 meters (18,379 ft) above sea level.

Given in the question that, there are 7 boys and 6 girls. 

Team members = 5

Now, required number of ways in which a team of 5 having atleast 3 girls in the team = 

$$\begin{gathered} 6C3 x 7C2 + 6C4 x 7C1 + 6C5 \\ = 6x5x43x2x1 x 7x62x1 + 6x5x4x34x3x2x1 x 7 + 6x5x4x3x25x4x3x2x1 \\ = 420 + 105 + 6 \\ = 531. \end{gathered}$$

Given   1.21x0.91.1x0.11

= 1.21x100x0.9x101.1x10x0.11x100

= 9

= 3.

Let the value to be find be 'x'.

 
Sum of individual column value = 14

 
C1 = 7 + 2 + 1 + 4 = 14
C2 = 3 + 8 + 1 + 2 = 14
C3 = 6 + 5 + 2 + 1 = 14

C4 = 2 + 4 + 4 + x = 14

x = 14 - 10

x = 4

Hence, the missing number is '4'.

Total distance = 150 + 210 = 360 mts

Time taken to cross each other when moving in opposite direction = 10.8 sec

Relative speed of trains = (350/10.8) x 18/5 = 3600/30 = 120 kmph

Speed of shorter train = (150/12) x 18/5 = 45 kmph

Hence, speed of longer train = 120 - 45 = 75 kmph.