Official Quant thread for CAT 2013

MBA CAT 2024
43043
Hi All,
Newbie here.
Need serious help please........

Please suggest where should i prepare quant from.. gathering resources here.
I have done the concepts with CL material, but still unable to do most of difficult/ tricky question, i think some more concept/practice......

Please suggest good book for quant. 👼rolleyes
43044

Please provide solution approach to this q...ans is 3

43045

Please provide solution approach to this q...ans is A.

43046

If Bf represents the number of bijective functions from S1 = {a, b, c, d, e} to S2 = {p, g, r, s, t} such that f(c) ≠ t and f(e) ≠ p, what is the value of Bf?
P.S.
Post solution and equation you used for set

43047

A function f(x) is defined for all real values of x as 2f(x) + f(1 – x) = x^2. What is the value of f(5)?

a) 10

b) 17

c) 34/3

d) Cannot be determined

43048

Two jars contain milk and water in the ratio 7 : 3 and 3 : 2 respectively. In what ratio should the contents of the two jars be mixed such that the final ratio of milk and water in the resultant solution becomes 23 : 17?

a) 1 : 3

b) 1 : 5

c) 3 : 5

d) Data Inconsistent

43049

Ten pipes working at full efficiency can fill a tank completely in 30 hours. Five pipes start filling the tank. The pipes work for exactly 40 minutes in every odd hour i.e. 1st hour, 3rd hour etc while they work for exactly 50 minutes in every even hour i.e. 2nd hour, 4th hour etc. If seven more pipes (working in the same manner as the existing five) are added after 12 hours, then in which hour will the tank be full?

a 41st

b 40th

c 37th

d 33rd


im getting 37. @anandmadhav sir help.
43050

A car runs on four tyres and has one extra tyre. If each tyre lasts for 10,000 km then what is the maximum distance (in km) that the car can travel using the five tyres?

a) 10,000

b) 11,000

c) 12,500

d) 15,000

43051

In questions on tournament , are these two questions fundamentally different?


Q1. - Minimum number of matches a team must win in order to qualify to the next round?


Q2. Minimum number of matches a team must win in order to guarantee qualification to the the next round?

43052

The degree of each term of a polynomial P(x) is odd. When P(x) is divided by (x – 3), the remainder is 6. What is the remainder when P(x) is divided by (x2 – 9)?

a) 2x

b) –36

c) 0

d) Cannot be determined

43053

In a community of 100 students, each student studies one or more of the two subjects viz. Mathematics and Chemistry. The number of students studying Mathematics is greater than the number of students studying Chemistry which is greater than the number of students studying both Mathematics and Chemistry. What is the maximum number of students who study Chemistry?

a) 97

b) 49

c) 98

d) 50

43054

If a, b, and c are positive integers such that (a – b + c)(b – c + a)(c – a + b) = 15, then what is the product of a, b and c?

a) 24

b) 64

c) 42

d) Cannot be determined

43055

What is the smallest positive integer 'k' such that C(2k, k) is divisible by 200?

a) 23

b) 61

c) 13

d) 11

43056

x and y are real numbers such that y = |x – 2| – |2x – 12| + |x – 8|. What is the least possible value of y?

a) 6

b) 2

c) –2

d) None of these

43057

remainder of 32^1000 when divided by 37 ?

  • 33
  • 5
  • 31
  • NOTA

0 voters

43058

The 38th term and the 88th term of an arithmetic progression are 12 1/25 (mixed )and 36 3/25 (mixed )respectively. If the total number of terms in the progression is 175, what is the ratio of the sum of the first 75 terms to the sum of the last 100 terms of the progression?


43059

log(base 2)7 is rational or irrational?

43060

find the sum of the values of x such that
|x+2|+|x-3|+|x+4|+|x+5| =18
(1)2.5
(2) -3.5
(3) -4.5
(4) -5

ans: -4.5
the values are -6.5,2
One can say that the values would be in b/n (-infinity,-5) and (-2,3) (by looking at the critical points of each expression)...but, how to go beyond -5 and how to find the exact value b/n -2,3...
can someone pls share the approach...

43061

If f(x) = x5 − x4 − x2 − x, and a, b, c are the roots of the cubic equation x3 − x2 − 1 = 0, then what is the sum of f(a), f(b) and f(c)?

43062

Some one help me with ....How many ways to distribute 5 different things among three persons such that everyone gets atleast one thing? i know We can distribute it like 2 2 1 or 3 1 1 but how ??