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Q:

If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ?

A) 100 mts B) 96 mts
C) 98 mts D) 120 mts
 
Answer & Explanation Answer: C) 98 mts

Explanation:

Let the distance between home and school is 'x'.
Let actual time to reach be 't'.
Thus, x/4 = t + 4 ---- (1)
and x/6 = t - 30 -----(2)
Solving equation (1) and (2)
=> x = 98 mts.

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Filed Under: Time and Distance
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Q:

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

A) 1:7 B) 7:1
C) 2:3 D) 3:2
 
Answer & Explanation Answer: A) 1:7

Explanation:

Let the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> 47x+31yx+y= 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7

 = 1:7

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Filed Under: Time and Distance
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Q:

Statement: Air export volumes have increased substantially over the past decade causing backlogs and difficulties for air cargo agents because of increased demand for space and service.
Courses of action:
a. Airlines and air cargo agents should jointly work out a solution to combat the problem.
b. The reasons for the increase in the volume of air exports should be found out.

A) Only a follows B) Both a and b follows
C) Only b follows D) Neither a nor b follows
 
Answer & Explanation Answer: A) Only a follows

Explanation:

The problem faced, by the airlines and cargo agents is the non availability of cargo space. Therefore, right course of action is to combat the problem.

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Filed Under: Statement and Courses of Action
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Q:

Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank?

A) 48min B) 72min
C) 24min D) None of these
 
Answer & Explanation Answer: C) 24min

Explanation:

Given taps X and Y can fill the tank in 30 and 40 minutes respectively. Therefore,

 

part filled by tap X in 1 minute = 1/30

 

part filled by tap Y in 1 minute = 1/40

 

Tap Z can empty the tank in 60 minutes. Therefore,

 

part emptied by tap Z in 1 minute = 1/60

 

Net part filled by Pipes X,Y,Z together in 1 minute = [1/30 +1/40 - 1/60] = 5/120 = 1/24

 

i.e., the tank can be filled in 24 minutes.

 

 

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Filed Under: Pipes and Cistern
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Q:

If the rate increases by 2%, the simple interest received on a sum of money increases by Rs. 108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs.180. The sum is ?

A) Rs. 540 B) Rs. 415
C) Rs. 404 D) Data is not sufficient
 
Answer & Explanation Answer: D) Data is not sufficient

Explanation:

Let the sum be Rs. p, rate be R% p.a. and time be T years.

Then,

 P×T×(R+2)100-P×T×R100=108  2PT= 10800  ...... (1)

 And, 

 P×R×(T+2)100-P×R×T100=180   2PR = 18000 ......(2)

Clearly, from (1) and (2), we cannot find the value of p
So, the data is not sufficient.

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Filed Under: Simple Interest
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Q:

If everyone on the team is a veteran, what will you do to fit in ?

Answer

This answer shows steps of becoming a team member that doesn't appear to be in training. It is describing ways to limit training times in meetings, and include that a new worker could benefit an existing team by making a list of ideas.


Even if everyone is a veteran, I feel confident I can fit right in. I would prepare as much as I can by reading existing material to catch up on the project. I would plan for meetings by making a list of questions I have and finding the answers to these questions before the meeting. I would also create a list of ideas through the documents I have read. A fresh mind could help with creative solutions. I know that I would be required to study a lot in the beginning, but I would be able to do so at home or by working late in the office.

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Q:

A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?

A) 8 months B) 6 months
C) 7 months D) 9 months
 
Answer & Explanation Answer: A) 8 months

Explanation:

Suppose B joined for x months.

Given profit is divided in the ratio 3:1. Then,

85000×1242500×x=31

 --> x = 8 months.

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Filed Under: Partnership
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Q:

Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

A) Rs. 5422 B) Rs. 5489
C) Rs. 4511 D) Rs. 6145
 
Answer & Explanation Answer: C) Rs. 4511

Explanation:

Now as per question, Karan invested for 12 months and Satish invested for 7 months.

So, Karan:Satish = (29000 x 12):(18000 x 7)

= 348:126

= 58:21

 

Satish Ratio in profit will be= 16970×2179 = Rs. 4511

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Filed Under: Partnership
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