# GATE Questions

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.

7 2459
Q:

"I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ?

 A) Father = 50; Son =14 B) Father = 40; Son =24 C) Father = 60; Son =4 D) Father = 48; Son =16

Explanation:

Let the present age of the man be 'P' and son be 'Q',
Given, P + Q = 64 or Q = (64 - P)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, P = 5[B - (P - Q)]
We get 6P = 10Q,
Substitute value for Q,
6P = 10(64 - P),
Therefore P = 40, Q = 24.

5 2383
Q:

In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is ?

 A) 38 B) 39 C) 40 D) 41

Explanation:

Given M.P=45,S.P=42, Profit = 0.05

Let C.P=x , Then

Profit = (42-x)/x = 0.05
=> x = 40.

5 2377
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:

Filed Under: General Awareness
Exam Prep: GATE
Job Role: Analyst

12 2274
Q:

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days  ?

 A) 9 days B) 11 days C) 13 days D) 15 days

Explanation:

Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13/10 )     =>     x = 299 /10.

A's 1 day's work = 1/23 ;
B's 1 day's work = 10/299 .

(A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 .

Therefore, A and B together can complete the work in 13 days.