GRE Questions

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4/10 + 9/x = 1     => x = 15 

Then both can do in 

1/10 + 1/15 = 1/6     => 6 days

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

Required angle = distance of hour hand = speed × time = 12× 20 =10 degrees.

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.

Hence, it is 58 and not 85.

Let the sum be Rs. P. Then,

P1+252x1002-P= 510

P[982- 1] = 510.

Sum = Rs. 1920

So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

Here the second one follows the first one. That is a nurse follows a doctor and similarly, a follower follows a leader.

Hence, Doctor : Nurse :: Leader : Follower.

A book is consists of various chapters, so as the Organization consists of various departments. Therefore if Book is to chapter so organization is to department.

Hence, Book : Chapter :: Organisation : Department.

Let last digit is 2
when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.
so for last digit = 2, total numbers=240

Similarly for 4 and 6
When last digit = 4, total no. of ways =240
and last digit = 6, total no. of ways =240
so total of 720 even numbers are possible.