Official Quant thread for CAT 2013

@busar005

ques. @ravi6389 zara ye bhi dekho bhai



@Dazed-Confused YE DEKH LE FIGURE

For how many integers xΒ² + x + 1 is square of an integer?

ABCD is a convex quadrilateral in which

1. Can not be determined
2. 75
3. 105
4. 120
5. None of these

No OA.... Please explain!!

Find the 82nd digit in the decimal expansion of 1/41.

options -- 0,2,3,4

approach plz

In how many different ways stickers having numbers (1,1,1,2,2,3) can be pasted on a cube ?

plzz also post the approach.....

HI PUYS!!...has anyone given any invigilated aimcat at home??...actually even after entering the access code my test is not starting..

A sequence of numbers is written in the following fashion: 1, 7, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, ... till 'n' terms. The sum of first 5001 terms of the given sequence is

a 5001

b 20478

c 19911

d 39822

e 40956


Points P and Q are marked on a straight road. Gypsa started from the point P and walked towards the point Q. On the first day Gypsa covered of the total distance between P and Q. On the second day she covered of the remaining distance between P and Q, where 'x' and 'y' are positive integers. At the end of the second day she found out that she had covered of the total distance between P and Q. If the total distance between P and Q is 110 km, then find the minimum possible distance which was left to be covered by her after the first two days.


a 70 km

b 75 km

c 85 km

d 80 km

e 90 km

the number of positive integers N in the range 12

  • 14
  • 13
  • 7
  • 5

0 voters

when a producer allows 36% commission on the retail price of his product he earns a profit of 8.8%. What would be his profit percent if the commission is reduced by 24% ?

The side of a cube is increasing at the rate of 10 cm/sec. Determine the rate of increase in its surface area, when the side = 96 cm.

15 m2/sec

3,000 cm2/sec

10,512 cm2/sec

11,520 cm2/sec

None of these


please post your explanation as well

What is the least possible value of logyx + logxy, if x > 1 and y > 1?

1

2

3

4

None of these

Two balls are drawn, one after the other, from a bag containing 8 pink and 6 orange balls in succession in that order. When the ball that is drawn first is replaced, is:
A) 6/49
B)20/91
C)12/49
D)13/49
My doubt is b/w choices A and C, since the order is fixed. Please suggest what should the answer be and the reason along.

QUESTION FROM REMAINDER THEORM

If f(x) = 2x^2 + (ab^2 + ac^2 – 2abc)x + abc and the minimum value of f(x) is at x = –54, then what is the minimum value of (a + 2b – 2c)? (Given that a > b > c)

a 18

b 10

c 12

d 20

e -20

Consider two different cloth-cutting processes. In the first one, n circular cloth pieces are cut from a square cloth piece of side a in the following steps: the original square of side a is divided into n smaller squares, not necessarily of the same size, then a circle of maximum possible area is cut from each of the smaller squares. In the second process, only one circle of maximum possible area is cut from the square of side a and the process ends there. The cloth pieces remaining after cutting the circles are scrapped in both the processes. The ratio of the total area of scrap cloth generated in the former to that in the latter is

What is the last three digits of 3441^37 ?..please do not forget to post the explanation ..

πŸ‘ΌπŸ‘Ό




Can any one please mail me the pdfs of CL mocks and IMS mocks of this year at anitsuri1990@gmail.com?

can anyone point out the mistake here:-

suppose i have to find the remainder when 2^100 is divided by 7
so i proceed like this i convert 2^100 as (2^10)^10 so i have to find the last 2 digits so as

(2^10)^even is 76 so my last 2 digits is 76 then i divide 76 by 7 which comes out to be 6 which is not the correct answer ,then what should be my approach towards these types of questions..😠πŸ˜