Official Quant thread for CAT 2013

one sum frm my side (an easy one)... this sum has been posted on PG before...


In a circular cricket ground, 3228 boys and girls are sitting on the boundary line beside each other. All the girls are liars and all the boys are honest unless they make a mistake. Each one of them says that he/she is sitting between a boy and a girl, but 3 boys are mistaken. How many girls are sitting on the boundary line?


i guess there are two answers for this problem...

a cone made a sector of radius 14 cm and an angle of 60 dgree. what is the total surface area of the cone?

AB

If x

A. -x

B. -1

C. 1

D. x

E. x^1/2

what is the height of cone which formed by joining two ends of a sector of circle with radius r angle 60 degree?

A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and the square regions in terms of r? (p=> Pi) A. pr2 B. pr2 + 10 C. pr2 + ΒΌ p2r2 D. pr2 + (40-2pr)2 E. pr2 + (10- Β½ pr)2

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m? A. k/m % B. (k-m) % C. [100(k-m)]/(100+k) % D. [100(k-m)]/(100+m) % E. [100(k-m)]/(100+k+m) %



note: the first 3 ppl to give correct answer will get a special price frm me....... πŸ˜ƒ

Define A = The sum of digits of the number 7^100 and B = The sum of the digits of A. What is the sum of the digits of B?

Option 7,16,10, cbd ?
EDITED

@Buck.up

@Logrhythm

Plz chk

The sides of a triangle are given to be x^2+x+1 , 2x+1 and x^2-1. Then the largest of the three angles of the triangle is

75 degree
x/x+1*pi
120 degree
135 degree

please explain your answer as well. Thanks in advance

PQR is a right angled triangle with angle Q=90 degree, S is the mid point of PR and QS=root of 117 cm. The sum of the length of sides PQ and QR is 30cm.Area of Triangle PQR is

108 square cm

54 square cm

162square cm

216 square cm

For how many positive integers n is 3^n + 81 the square of an integer?

0

1

2

3

4

Q5:

QuantExpert - Q.O.D

a is less than b is less than c is less than d, where do the roots of the equation (x-a)(x-b) + 2(x-c)(x-d)=0 lie?

Options:1. [a,b]

2. [c,d]

3. one in [a,b] and one in [c,d]

ο»Ώ

Q 30

Q 33

Q34

Please help me out in solving this question πŸ˜ƒ

Help Needed 😁