Official Quant thread for CAT 2013

what is the maximum values of the function y=(2x^2+3x+4)/x^2+x+3

options
a)11/23
b)23/11
c)4/7
d)7/4

approach please

Ajay, Balram and Chandu are standing at corners of a right angled triangle. Ajay and Balram are at ends of the longest side and chandu at the remaining one. They all move towards centre of longest side simultaneously. Speed of ajay is 20% more than Balram whose speed is 16 3/4% less than that of chandu. Who will reach first ?


1) Balram and Chandu
2) Balram
3) Chandu
4) Ajay

👏

Four players A, B , C and D agree to play a game of sign. A slip of paper is given to player A, who marks it with either a '+' or a '–' sign, the probability of his writing a '+' sign being 1/3. The slip is then passed to B who may either leave it unchanged or change the sign before passing it to the next player C . C and D follow the same rule of the game, and the probability for each of B , C and D to change the sign is 1/3 . Player D finally returns the slip to a referee R.

Q.The probability that R observes a '+' sign on the slip if A and B mark a '+' sign?
a.47/81
b.41/81
c.10/81
d.34/81
e.None of these

A student is allowed to select at most n books from a collection of 2n+1 books, If the total no of ways in which he can select at least one book is 63,find value of n??

What is the sum of the following series?

7+26+63+124+....+999
a.3014 b.3013 c.3015 d.None of these

the sum of the product of ten numbers (+ -1,+ -2,+ -3,+ -4,+ -5) taking two at a time?

option
a)165
b)-55
c)55
D)none of these

approach please

In triangle ABC,points P1,Q1 and R1 divide the lines AB,BC and AC respectively in the ratio 2:1.In triangle P1Q1R1 the points P2,Q2 and R2 divide the sides P1Q1,Q1R1 and P1R1 in the ratio of 2:1.In every such new triangle,a new triangle is generated by joining the points on the sidesthat divide the sides in the ratio of 2:1.Find the sum of the areas of all such triangles formed till infinity.(Area of triangle ABC ='A' sq. units.)

a. A/2 b.2A c.A/3 d.3A

One-fourth portion of each of the two solid spheres having radii 4 units and 6 units are joined together such that the centres of the two spheres coincide as shown in the figure given below. What is the total surface area of the solid thus formed?


a 88 ∏ sq. units

b 83 ∏ sq. units

c 75 ∏ sq. units

d 73 ∏ sq. units

e 78 ∏ sq. units


A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (Assume that the order of the colors in a pair does not matter.) (A) 4 (B) 5 (C) 6 (D) 12 (E) 24

If m times the mth term of an AP is equal to p times the pth term,find the (m+p)th term.

a.0 b.a^2-b^2 c.a-b d.1

A company 'XYZ' engages three small companies P,Q and R to manufacture 100 cricket bats per day. Every person in companies P,Q and R can manufacture 2, 3 and 8 cricket bats per day respectively. Companies P, Q and R charge Rs. 20, Rs. 25 and Rs. 15 respectively for every bat manufactured by them. The number of persons involved in manufacturing bats for company 'XYZ' from company P is not greater than the total number of persons involved in manufacturing bats from companies Q and R. At least one person from each of the companies P, Q and R is involved in making bats.

Q.1- Find the minimum possible expenditure incurred by the company 'XYZ' to manufacture 100 bats.


a-Rs. 1510

b-Rs. 1540

c-Rs. 1570

d-Rs. 1590

e-None of these

In pentagon PQRST, PQ=3,QR=2,RS=4,ST=5.

What could be the value of PT?

? (A) 5 only (B) 15 only (C) 5 and 10 only (D) 10 and 15 only (E) 5, 10, and 15


Please Explain??

K1, K2, K3 
K30 are thirty toffees. A child places these toffees on a circle, such that there are exactly 'n' toffees placed between Ki and Ki + 1 (i = 1, 2, 3 
 29). No two toffees overlap each other on the circle. Which of the following can be a possible value of 'n'?


a-4

b-5

c-9

d-12

e-13

which 1 annual magazine would be best for IIFT gk?

The price of a product is increased then decreased by x% .By doing so the price decreases by 400.If the whole process is repeated again the price becomes 1764 Find x .Please post solution

  • 40
  • 10
  • 30
  • 20

0 voters

A pedestrian and a cyclist leave from point A for point B.. The cyclist reaches B and returns and meets the guy walking in 1 hr of the time...next the pedestrian continues towards B and the cyclist also turns and moves towards B. Again cyclist reaches B first and meets the pedestrain while coming back after 30min...In how much time the pedestrain reaches from A TO B ???

Q4






Find the number of terms common between the series 1+2+4+8+.....................to 100 terms and 1+4+7+10+.......................to 100 terms


  • 4
  • none
  • 5
  • 6

0 voters

The average mark of a class of 51 students decreases by 3 marks when the student who scored the highest mark is excluded. Instead if the student who scored the least mark is excluded, average mark of the class increases by 2 marks.If the ratio of highest mark to least mark is 11:9, find the average mark of the class

if
96 16 81 = x
11 15 18 = y

What is the value of y-2x ?


sry for posting this question....but nobody was answering this on the LR thread. I had no option