Official Quant thread for CAT 2013

Ina bag,there are 150 coins of Rs-1,50p,25p denominations. If the total value of the coins is Rs.150,then find how many rupees can be constituted by 50p only?
A-16
B-20
C-28
D-None of these

It takes 30 hours for an inlet pipe to fill an empty tank completely. When 5 identical inlet pipes and4 identical outlet pipes operate together, the same empty tank get filled completely in 10 hours.How much time (in hours) will an outlet pipe take to empty the same tank when it's filled upto half its volume?👍

How many distinct integer values of N between 1 and 1000 are there, such that N=4a+b+4c and 2N=7a+6b+7c for some positive integers a, b and c?


x,y,z are reals that satisfy

2*(x^2)*(y^2)+(x^2)+2*(y^2)=54
2*(y^2)*(z^2)+(y^2)+(z^2)=93
2*(z^2)*(x^2)+2(z^2)+(x^2)=84

Determine (xyz)2.

😁


What is the remainder when 888222888222....upto 9235 digits is divided by 125? ( Don't know whether some one has already posted this question beforerolleyes)

Two different two-digit natural numbers are written beside each other such that the larger number iswritten on the left. When the absolute difference of the two numbers is subtracted from the four-digitnumber so formed, the number obtained is 5481. What is the sum of the two two-digit numbers?

👍

please solve question 28

please solve question 32

Find the remainder when 201320132013.....(1200 digits) is divided by 2701.

please solve the question number 18

3)In x-y plane, a circle passes through the points (2, 5) and (–4, 13). What is the equation of the

Circle? GIVEN:-

A. The circle passes through the point (–10, 21).

B. The radius of the circle is of length 6 units

How many integer pairs (x, y) are there such that x3 + 3x2 – 4x = 81y3 – 9y2 + 6y – 1?

A = 28^12, B = 18^8 and C = 21^6. How many natural numbers are there by which at least one among A, B and C is divisible?👍

How many four-digit perfect squares 'abcd' are possible such that 'dcba' is also a four-digit perfect square and is also a factor of 'abcd'? (given a NOT EQUAL d)
A.0
B.1
C.2
D.MORE THAN 2.

How many natural numbers, n where n

15

16

17

18


How many different garlands I can make with 12 red coloured flowers and 3 blue coloured flowers ..??Been stuck with this problem since ages.. any help puys ..??

How many natural numbers less than 100 when squared and then divided by 24 leave a remainder of 1?

30

33

32

34

How many natural numbers less than 100 when squared and then divided by 24 leave a remainder of 1?

30

33

32

34

Four identical bags are distributed among four boys. If each boy can get any number of bags then what is the probability that no boy gets more than two bags?(a)18/35(b)2/7(c)19/35(d)16/35👍

@reducto.smoke

How many different garlands I can make with 12 red coloured flowers and 3 blue coloured flowers ..??Been stuck with this problem since ages.. any help puys ..??



Here is the solution for 4 red and 2 blue. Its quite hectic making all the case