Official Quant thread for CAT 2013

MBA CAT 2024
5981
@maddy2807 said:
In a convex octagon, measures of the angles are in integers. and are in AP. Find the sum of the greatest two angles.
290?

sum = 1080
4 * (2a + 3d) = 1080
2a + 3d = 270
put d = 2
a = 132


Required sum = a + 7d + a + 6d
= 2a + 13d
= 264 + 26
= 290
5982
@grkkrg
4* (2a + 7d) = 1080 nhi hga ?
3rd and 4th term
5983
@rkshtsurana said:
900= 27 factors
@deedeedudu said:
9?900 being the no
@mailtoankit said:
9?900
yar m getng 840 as the number...can u chk with it..though i havent chkd for 900..
5984
@maddy2807 said:
In a convex octagon, measures of the angles are in integers. and are in AP. Find the sum of the greatest two angles.
Is mai answer vary ni karega kya?
I'm getting 135+12(d) ; d=1,2,3,4,5,6
5985
@deedeedudu said:
9?900 being the no
Is there any approach, or hit and try?
5986
@maddy2807 said:
In a convex octagon, measures of the angles are in integers. and are in AP. Find the sum of the greatest two angles.
sum of angles = 1080
avg = 135
so angles be
135 - 7x , 135 - 5x, 135 - 3x , 135 - x, 135 + x , 135 + 3x, 135 + 5x , 135 + 7x

135 + 7x
7x
x
x = 6

two grtest angles are - 165 and 177
so 342
5987
@maddy2807 said:
In a convex octagon, measures of the angles are in integers. and are in AP. Find the sum of the greatest two angles.
282??
5988
@nick_baba said:
V is the natural number below 1000, which has the maximum number of divisors. Find the sum of the digits of V.
12 ?
840 with 32 factors
5989
@grkkrg said:
290?sum = 10804 * (2a + 3d) = 1080


bhai idhar 3d ke jagah 7d hoga na??

5990
@maddy2807 said:
In a convex octagon, measures of the angles are in integers. and are in AP. Find the sum of the greatest two angles.
sum of angles=(2*8-4)*90=1080

now, let first angle be a and common difference be d

=> sum=8/2*(a+a+7d)=1080
=> 2a+7d=270

now, a+7d

from first condition, a>90.

Answers could be different 2 for different values of a or d.
Option hain kya? :splat:
5991
@Torque024 said:
Is there any approach, or hit and try?
Doesn't matter waise b its wrong
5992
@maddy2807 said:
In a convex octagon, measures of the angles are in integers. and are in AP. Find the sum of the greatest two angles.

x-7d,x-5d,x-3d,x-d,x+d,x+3d,x+5d,x+7d
=>8x=180*6
=>x=135


100,110,120,130,140,150,160,170

160+170=330

bahut sare aa rahe hain :splat:

95,105,115,125,145,155,165,175

165+175=340
5993
@rkshtsurana said:
sum of angles = 1080avg = 135so angles be135 - 7x , 135 - 5x, 135 - 3x , 135 - x, 135 + x , 135 + 3x, 135 + 5x , 135 + 7x135 + 7x 7x xx = 6two grtest angles are - 165 and 177so 342
Why can't the x be 5,4 or any less number ? :neutral:
5994
@rubikmath said:
12 ?840 with 32 factors
hw u approached??

5995

OA for first question is 1/17


OA for second question is 342

@rkshtsurana got it right
5996
@vijay_chandola said:
Why can't the x be 5,4 or any less number ?
hga ..iske total 6 solution ayenge..when x = 1 , 2, 3 ,4 5, 6
but we want max..or acc to options...i calc max sum..

@maddy2807 ques me it shud be max sum..otherwise 6 diff APs are possible..
5997
@nick_baba said:
hw u approached??
2^3*3*5*7 --> no.of factors 4*2*2*2
either dis or 2^2*3^2*5^2 --> 27 factors .
hit nd trial .
5998
@maddy2807 said:
OA for first question is 1/17OA for second question is 342@rkshtsurana got it right
bhai..jo octagon wala ques hai..usme different ans bhi ho skte hai..unless n until ques me ye nai diya hota k all greatest possible angles wala octagon consider karna hai..
5999
@krum said:
x-7d,x-5d,x-3d,x-d,x+d,x+3d,x+5d,x+7d=>8x=180*6=>x=135100,110,120,130,140,150,160,170160+170=330
180*6 ???
6000
@rubikmath said:
2^3*3*5*7 --> no.of factors 4*2*2*2either dis or 2^2*3^2*5^2 --> 27 factors . hit nd trial .
yeahh.even i tried the combination of 2,3,5,7 which gave max value less than 1000..so came 840..