Official Quant thread for CAT 2013

MBA CAT 2024
38454

A set of points, some or all of which are connected by line segments, is called a graph. The points are called vertices of the graph and the line segments are its edges. Between any two points there is at most 1 edge. A graph on which it is possible to go from a vertex to any other vertex along its edges is called a connected graph. If G is a connected graph with 60 edges and n vertices, then n must satisfy the condition

a)12

b)10

c)12

d)11

38455

5 Nephrologists decide to hold daily meetings such that

(i) At least one Nephrologist attend each day.

(ii) A different set of Nephrologists must attend on different days.

(iii) On day N for each 1 ≤ d

How many maximum days can meetings be held?

12

14

16

24

none of these


approach please

38456

Hello Puys ..please solve attached and post the answers .

38457

Food for thought

The remainder when x^200 - 2(x^199) + x^50 - 2(x^49) + x + 1 is divided by (x-1)(x-2) is ?
😲

38458

Q3


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38459

A century year can end with which of the following days?(a) Sunday (b) Tuesday (c) Thursday (d) Saturday

Approach please!!
38460

If a function f(x+y) is defined as f(x+y)=f(x)f(y) for all the positive numbers. f(2)=4096 find the value of f(5/12) please state the approach as well thanks

38461

Find the length of the side of largest square that can be inscribed in a equilateral triangle of length 1 unit ?

38462

Find the length of the side of largest square that can be inscribed in a equilateral triangle of length 1 unit ?

38463

Find the length of the side of largest square that can be inscribed in a equilateral triangle of length 1 unit ?

38464
Easy yet Haunting !

1. 40 consecutive natural numbers are written, When one of the numbers are erased, the average of the remaining 39 numbers is 45. Find the number that is erased ?

A. 25
B. 65
C. Both A and B
D. Infinite possible answers

2. Consecutive natural numbers starting from 1 were written on the black board, A student comes and erases three consecutive numbers, the average of the numbers is 21 15/19 (edited)(mixed fraction ) Find the average of the erased number.

A. 9
B. 10
C. 11
D. 12
E. 13

Please explain the logic and the logic behind the logic.

38465

X+1/X = 3 find the value of X^6 + 1/X^6?

38466

a+b+c+d+e = 28; a,b,c,d,e {1 to 6}. No. of solutions?

38467

guys check out this geometry question.Its from CL mock test 8,so i'm not typing it but uploading it as an attachment.Those who havent given can choose to ignore. 😛.. post approaches,cz i think i kinda figured out the ans,want a quick approach.


38468

1. 40 consecutive natural numbers are written, When one of the numbers are erased, the average of the remaining 39 numbers is 45. Find the number that is erased ?A. 25B. 65C. Both A and B D. Infinite possible answers

38469

If lenghth of chord AB is root 3 times the length of radius of the circle then what will the angle inscribed in the arc AB ?

38470

John and Mary run in opposite directions on a circular track, starting at diametrically opposite points. They first meet after John has run 100 meters. They next meet after Mary has run 150 meters past their first meeting point. Each person runs at a constant speed. What is the length of the track in meters?

38471

anant started answering a math test between 2.00 pm to 3.00pm and ended between 5.00-6.00pm , if it is known that the positions of the minute hand and the hour hand at start interchanged with the position at the end ,for how long did anant take the test?

38472

A=min(24-8x-x^2, x^2+9x-6]. For what value/s of x does A assume its maximum value?



Pls share the approach
  • 3/2
  • 3/2 or -10
  • -10
  • 39/4

0 voters

38473

what is the fraction equivalent of 3.42( bar over 2)???