Official Quant thread for CAT 2013

n, m and p are distinct positive integers such that:
nmp + nm + mp + np + n + m + p = 2012.
What is the value of n + m + p?
A. 23
B. 24
C. 72
D. 75

A and B are playing a game of dice those who get 6 first he ll win if game starts with A what is the prob of winning of B


In set S, there are n perfect squares. Find the largest value of n such that difference of no two elements of S is divisible by 100.
A. 20
B. 22
C. 23
D. 25

Dont know OA..share your approach

A is going to office from his home. He traverses some distance on car and remaining on foot and reaches office at 6 pm. If he had traversed in car for double duration then he would have reached office at 5 pm. At what time he would have reached office if if he had traversed on foot for double duration?
A. 7 pm
B. 8 pm
C. data insufficient
D. None of these

18^2000 + 12^2000 - 5^2000 - 1 is divisible by
a. 323
b. 221
c. 299
d. 237

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the actual time is:

a. 59*7/12 min. past 3

b. 4 p.m.

c. 58*7/11 min. past 3

d. 2*3/11 min. past 4


How much does a watch lose per day, if its hands coincide every 64 minutes?

a. 32*8/11 min.

b. 36*5/11 min.

c. 90 min.
d. 96 min.

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

a. 1
b. 2

c. 3
d. 4

At what time between 4 and 5 o'clock will the minute and hour hand:
(a) make an angle of 44 degrees with each other?
(b) are perpendicular to each other?
(c) are on the same straight line but facing opposite directions?

share ur approach not just the OA

Eight straight lines are parallel to each other and distance b/w any two adjacent line is 1 cm. Another set of 6 straight lines are parallel to each other and distance b/w any two is 1 cm.These two sets intersect to form ||grams. How many such || grams will not be rhombuses?


Need approach as well

Options:
285
365
335

The sum of the infinite series 1 + 3x + 4x^2 + 10x^3 + 18x^4 + ... at x = 1/3 is
(a) 28/9 (b) 25/8 (c) 49/16 (d) none of the foregoing

In how many ways can the natural numbers from 1 to 9 be divided into three groups of three numbers each, such that the sum of the numbers in each group is divisible by 3


a) 9
b) 18
c) 37
d) 38


Q) 16 people are to be arranged around an octagonal table with alternate sides of length 6m and 8m. People either sit at the corner or in the middle of the side .In how many ways can these people can be arranged ?? Don't have the OA for this. Puys please share your approach.

What is the remainder when (22^33+10^35) is divided by 45???
Please explain....😠😠😠😠

What is the remainder when (22^33+10^35) is divided by 45???
Please explain....😠😠😠😠

How many four digit nos. with non-zero digits have the sum of their digits as 12?

ans- 165
I want a well explained method

1 + (1^3 + 2^3)/(1 + 3) + (1^3 + 2^3 + 3^3)/(1 + 3 + 5)....

+ (1^3 + 2^3 + ... + 10^3)/(1 + 3 + 5 +... + 19)


find sum


Q. There are 13 teams playing a tournament . team winning a match will get 3 points, draw 2 points and 1 point for losing . The team wining a tournament scores 30 points, none of the teams are ending with the same point , then what can be the minimum number scored by the team who stood last?


1. 12

2. 0

3. 18

4. CBD


solution and approach both?

REMAINDER OF 24^24^24 divided 700, How to approach such probs where the divisor has multiple factors like 700 has 7 ,2,5 as factors