Official Quant thread for CAT 2013

plz explain !!

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Let f(x) = ax2 + bx + c and g(x) = dx2 + ex + f, where a, b, c, d, e and f are real numbers such that

(i) the minimum value of f(x) is less than the minimum value of g(x)

(ii) f(a1) = f(a2) = 0; g(a3) = g(a4) = 0

(iii) a1

If it is also known that p and q are the solutions of the equation f(x) = g(x) and k = max(p, q), which of the following is true?


a) a3

b) a2

c) a1

d) a4

please solve this geometry ques 😃

how many prime nos p exist such that p^1994+p^1995 is a perfect square..

please explain 😃

if (N)base 10=(ab)base n and (3N)10=(ba)base n where 3


4 6 7 cbd ..

??

A group of soldiers are marching with a speed of 5 m/s. The distance between the first and the last row of soldiers is 100 m. A dog starts running from the last row and moves towards the first row, turns and comes back to the lat row. If the dog has travelled 400 m . then the speed of the dog is

R and S row on a river simultaneously from the same point, R rows downstream and S rows upstream. In 15 min, they are 2.25 km apart. R then turns to follow S and after 30 min from the beginning, the boats have rowed together 3.5 km. If the speeds of R and S and the stream are constant , at how many km/hr does the stream flow?

the nmbr of divisors of 720 wch are multiples of perfect square of the frst prime nmbr



12 14 18 cbd..

i wnt to know if there s any odr approach beside manual counting??

Q. If (a × b)(c × d) = (e × f); (c × d)(e × f) = (a × b) and (e × f)(a × b) = (c × d) where a, b, c, d, e and f are nonzero integers, then the sum of all the possible values of (a + b + c + d + e + f) is

0

1

6

16


2)Four friends go to a city which has 10 hotels.

How many ways they can select a hotel if atleast two friends stay together?


1) How many natural numbers below 50 are there in the condition that satisfying (n-1)! is not a multiple of n ? a. 15 b. 14 c. 17 d. 16

there r 3 digit nmbrs abc and two digit nmbr xy sch dt prod of abc n xy is same as prod of yx and cba..if x n y cn b similar digits wt is th nmbr of sch pairs of P n Q?? 99 810 900 cbd??

How can we choose 3 stations out of 12 stations so that there are at least two stations between any two of the chosen stations?

@jasneetdua

Find the number of positive integral solutions of x1 + x2 + x3 + x4 = 20, where x1 > x2,,,, Guyz approach plz.???


2men and 7 boys do a work in 14 days. 3men and 8boys do the same work in 11 days.8men and 6 boys will do 3 time the work in how many days?

  • 27
  • 15
  • 12
  • 21

0 voters

Please explain this One. Basically we look for the detail which is given so that we can compare what is asked am i right ??

In a 1000-metre race, A gives a head start of 40 metres to both B and C. A still manages to beat C by 4 seconds but loses to B by 4 seconds. If the ratio of the speeds of B and C is 3 : 2, then the speed of A (in m/s) is

@jasneetdua @Shubh.i @rubikmath



simple method for this ??