# GATE Questions

Q:

"National Youth Day" is celebrated on which day ?

 A) January 15 B) January 14 C) January 17 D) January 12

Explanation:

National Youth Day is celebrated in India on 12 January on the birthday of Swami Vivekananda. In 1984 the Government of India declared the day as the National Youth Day and since 1985 the event is celebrated in India every year.

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5 130
Q:

A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ?

 A) 5 kmph B) 10 kmph C) 15 kmph D) 45 kmph

Explanation:

Speed of the boat downstream  $\inline \fn_jvn \small s=\frac{d}{t}$ = $\inline \fn_jvn \small \frac{60}{3} = 20 kmph$

Speed of the boat upstream $\inline \fn_jvn \small s= \frac{d}{t} = \frac{30}{3} = 10 kmph$

$\fn_jvn&space;\small&space;\therefore$ The speed of the stream = $\inline \fn_jvn \small \frac{(speed of downstream - speed of upstream)}{2} = 5kmph$.

6 129
Q:

What did the Bhore committee deal with ?

 A) Economic development in India B) Health development in India C) Development of airports in India D) Rural development in India

Explanation:

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10 111
Q:

A train running at the speed of 40 km/hr crosses a signal pole in 9 seconds. Find the length of the train ?

 A) 90 mts B) 150 mts C) 120 mts D) 100 mts

Explanation:

We know that   $\inline \fn_jvn \small speed = \frac{distance}{time}$

$\fn_jvn&space;\small&space;\Rightarrow$ distance= speed * time
$\fn_jvn&space;\small&space;\Rightarrow$ d = $\inline \fn_jvn \small 40\times \frac{5}{18}\frac{mts}{sec}\times 9$

$\fn_jvn&space;\small&space;\Rightarrow$  d= 100 mts.

5 102
Q:

In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food?

 A) 10 days B) 15 days C) 20 days D) 5 days

$\fn_jvn&space;\small&space;\Rightarrow$ If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).