Official Quant thread for CAT 2013

Q. For what value of C does the following system of equations have no solution?


1) 2x + y+3z=4
2) 3x+y-z=5
3) x+y+7z=C

options: a) 3 b)9 c)3 or 4 d)Any value other than 3
[Ans: option d)]
PLs explain the solution Thanks🍻

what is the remainder of 37^1006/25 ?

  • 4
  • 14
  • 9

0 voters

In how many diff ways we can distribute 5 diff balls in 3 diff boxes such that no box is empty?

For the word 'RAINBOW', how many words are there in which vowels are never together ? How many words are there in which A is always before I and I is always before O ? Explain the answers please.

5. In a class of 200 students, 70 played cricket, 60 played hockey and 80 played football. 30

played cricket and football, 30 played hockey and football, 40 played cricket and hockey.

Find the maximum number of people playing all three games and also the minimum number

of people playing at least one game.

a) 200, 100

b) 30,110

c) 30, 120

d) None of these


Please post a detailed solution\

If five varieties of rice , costing Rs. 10/kg, 20/kg, 30/kg, 40/kg and 50/kg, are mixed in the ratio a:2a:b:2b:a+b respectively, and the mixture is sold at 30/kg. Then, which of the following can never be the profit/loss obtained?


a) 21% loss

b) 1% loss

c) 21% profit

d) 1% profit

x is picked up from school by his father daily to go home by a car.one day school leaves before 1 hour,so x starts walking towards his house at 3km/hour.as a result they reach home 15 minutes before.find the speed of his fathers car c.

In a school committee comprising 12 members, there are exactly two students from each of the classes from class 7 to class 12. In how many ways can a sub committee of four students be formed such that no two students in the sub committee belong to the same class?

IF two circles are such that the centre of one one lies on the circumference of the other, then the ratio of the common chord of two circles to the redius of any of the circle is ?

root 3:2
root 3:1
root 5:1
none
Approach plz

Two circles touch each other internally. their radii are 2 cm and 3 cm. the biggest chord of the other circle which is outside the inner circle , is the length

2 root 2 cm
3 root 2 cm
2 root 3 cm
4 root 2 cm

In circle of radii 5 cm ab and ac are the two chords such that ab=ac=6 find the length of chord bc

How to prepare for the SET THEORY based DIs that appeared in last yr 's CAT ..? Any solution pls..?

{ (1^2) + (1^2 + 2^2) + (1^2 + 2^2 + 3^2) + ....... + (1^2 + 2^2 + 3^2+............23^2) } = ?

A. 16XXX

B. 19XXX
C. 20XXX
D. 23XXX

(My last year's CAT question.)

In how many ways could 4 children be born on weekdays (mon - fri)

  • 5P4
  • 8C3
  • 1024
  • 625

0 voters

does any1 hv past papers of cmat ?


10 men went fishing and caught 6 fish. In how many ways could the catch have been distributed?
1)10C6
2)15C6
3)15C5
4)10^6

A staircase has 6 steps. A child coming from the top to the bottom may choose to go one step at a time, or all six steps in a single jump, or any combination(say 3+2+1). In how many different ways can the child descend the stairway.
1) 720
2)120
3) 63
4)119

The three words "TATA Assets Rock" are flashed such that the words individually are switched on at regular intervals of 4,7 and 9 seconds respectively and after they are switched on, the words are switched off after 2 sec, 4 sec and 5 sec respectively. If at time 't' all the words happened to switch off simultaneously, find the least time 't' which all three words will switch on simultaneously.

A.252 sec

B.126 sec

C.94 sec

D.38 sec

DOUBT FROM HEIGHTS AND DISTANCE >>>


mg


DOUBT FROM HEIGHTS AND DISTANCE >>>

mgmg