UpGrade Prep

Decide that you want it more than you are afraid of it.

A vessel contains 2.5 litres of water and 10 litres of milk. 20% of the contents of the vessel are removed. To the remaining contents, x litres of water is added to reverse the ratio of water and milk. Then y litres of milk is added again to reverse the ratio of water and milk. Find y.
(A) 100
(B) 110
(C) 120
(D) 130

An urn contains 4 green balls and 6 blue balls. A second urn contains 16 green balls and "N" blue balls. A single ball is drawn at random from each urn. The probability that both balls are of the same colour is 0.58. Find N.

Naman and Nikhil, both start running from same end of a 100 m long straight racing track, simultaneously with speeds 8m/s and 12m/s respectively. While at the same moment, Jagan and Madhuri start from the opposite end of the same running track with speeds 7m/s and 9m/s respectively. All four of them keep running to and fro between the two ends of the racing track.
Whenever Naman or Nikhil came across any one of Jagai or Madhuri, they gave them a candy. So till the moment, all four meet for the first time, what is the difference between the number of candies received by Jagan and Madhuri?
A. 0
B. 1
C. 3
D. 7

In a company there are 252 employees, in which the ratio of the number of men and women is 2 : 1. Some more women are employed and the ratio of men and women becomes 1 : 1. The average age of all the employees is now 22 years and the average age of the women is 2 years less than the average age of the men. Find the average ages (in years) of men and women.
(A) 22, 20 (B) 23, 21 (C) 24, 22 (D) 21, 23

If A, B and C are distinct digits such that the square of the two-digit number AB equals the three-digit number CCB, then the sum of all possible values of CCB equals
(A) 555
(B) 666
(C) 777
(D) 888

2017 Notification released. Exam is on 26th November. Check out notification, registration, and eligibility details.

https://iimcat.ac.in/per/g01/pub/756/ASM/WebPortal/1/index.html?756@@1@@1

iimcat.ac.in

What is the number of different ways in which the number 784 can be expressed as a product of two different factors?
(A) 8
(B) 7
(C) 2
(D) None of these

Monica has bought ten trees for her garden. She wants to plant these trees in five rows, with four trees in each row. How must she plant the trees?