Official Quant thread for CAT 2013

Two men are running in the same direction along a circle. They meet for the first time at a point diametrically opposite the starting point, when the faster one is in his fifth round. Find the ratio of their speed.

4 : 5

7 : 6

6 : 5

9 : 7

None of these

If f(x) = min (x + 2, 2x – 4) for 4

Find the sum of first 25 terms of the series: 1, 3, 6, 10, 15, 21, ......

what is the formula fr such series?

How many real values of x would satisfy the relation: |2x + 6| – |x – 2| = 12.


approach?

If n! has 20 trailing zeroes and (4n)! has 86 trailing zeores, find the number of trailing zeroes in (8n)!.


If y = max (x2 – 4x + 20, –x2 + 10x – 4), find the minimum value of y for real values of x. max(a, b) refers to the maximum between a and b

There's a plot in the shape of an equilateral triangle. A flagstaff is erected at the midpoint of one of its sides. The angle of elevation of the top of the flagstaff from two of the vertices are 45 degree each. find the height of the flagstaff in meters, if the length of one of the medians of the plot is 60 root 3 meters.

Please explain the above problem clearly.
thanks in advance.

There's a plot in the shape of an equilateral triangle. A flagstaff is erected at the midpoint of one of its sides. The angle of elevation of the top of the flagstaff from two of the vertices are 45 degree each. find the height of the flagstaff in meters, if the length of one of the medians of the plot is 60 root 3 meters. answer: 60m
please explain clearly.
thanks in advance

Five years ago, in a zoo, the ratio

of the number of cheetahs to the

number of pandas was 1 : 3. The

ratio is now 1 : 2.

col a:The increase in the number of

cheetahs in the zoo in the last

five years

colb:The increase in the number of

pandas in the zoo in the last

five years

Ps:explain..

@brpedu

If y = max (x2 – 4x + 20, –x2 + 10x – 4), find the minimum value of y for real values of x. max(a, b) refers to the maximum between a and b



17

A merchant was able to recover only 58.33 paise in the rupee from one of his debtors. He had sols the goods by marking it up by 33.33%. What is his % gain or loss in this transaction?

A cask initially contains pure alcohol up to the brim. The cask can be emptied by removing exactly 5

liters at a time . Each time this is done, the cask must be filled back to the brim with water. The

capacity of the cask is 15 liters. When the cask is completely emptied and filled back to the brim two

times, what is the ratio of alcohol to water in the cask?

ps:explain....

in this question, x is the side of the triangle, r is the radius of all three circles.
Find the relation between x and r

If f(n) represents the sum of the digit(s) of n for n = 1, 2, 3, 4, …, find the remainder when

f(1) + f(2) + f(3) + f(4) + … + f(100) is divided by 90.


A society of 380 people organized a tournament comprising three different games. The number of people who participated in at least two games was 42% more than those who participated in exactly one game. At least one person participated in exactly n games, where n = 1, 2, 3. If the number of people who did not participate in any of the three games was minimum possible, then what was the maximum possible number of people who participated in exactly two games?



N is a natural number such that when it is successively divided by 8,6,10 it leaves remainder 5,4,2 resp. what is the remainder when N is divided by 48?

N is a natural number such that when it is successively divided by 8,6,10 it leaves remainder 5,4,2 resp. what is the remainder when N is divided by 48?

Does anyone have NMAT sample or free mocks ? Do you know the website atleast that has many mock papers of NMAT ?


find the last two digits of

3256^1639


find the remainder when 14^15^16 is divided by 5?

approach please