Official Quant thread for CAT 2013

MBA CAT 2024
40299

What is the approach to solve Question like Convert 23.46. Bar on 6. to Fraction ? Other than looking at options and solving ? And which is better ?

40300

Find no of solutions of x satisfying [x/a0] + [x/20] + [x/30] + [x/40] = 5x/24 , o

a. 6
b. 8
c. 0
d. 16
40301

If 2x + 9y =0 and y>=0 , x and y are integers. Find the total number of solutions.

a. 257
b. 256
c. 125
d. 128

(Please share the approach too)
40302

If a(n) = a(n-1) + a(n+1), where a(n) represents nth term of the sequence. If a(0) = 1, a(1) = 1.23, Find the value of a(0) + a(1) +....a(1002)


a. 0
b. 1
c. 1.23
d. 2.23
e. NOTA
40303

[x] represents the greatest integer function. Find the simplified value of [5/2] + [5/2 + 1/100] + [5/2 +2/100] + ... [5/2 + 199/100]

a. 598
b. 599
c. 602
d. 600
e. 601
40304

There are ā€œnā€ necklaces in a safe box (n > 1). Every necklace has the same number of diamonds. Each necklace has at least 2 diamonds. The total number of diamonds in these ā€œnā€ necklaces is between 500 and 600. If this data is sufficient to find the value of n, then what is the value of ā€œnā€?

a. 19

b. 23

c. 29

d. None of these

40305

If the inverse of function f(x) = ax + b is Inv(f(x)) = bx+a, values of a and b are-

a. 1,1
b. -1,1
c. 1,-1
d. -1,-1
40306

Find the max value of the product xy(72-3x-4y) for positive x and y.

40307

Find the least value of f(x) = (x+10)(x+2)/(x+1).

40308

Find the least value of max(|x-3|, 5-|x|).



40309

For what value of x would y assume the max value, where y = min (x+3, 2x-1, 2-x)?

40310

If a^2 + b^2 = 4, find the min value of a^4 + 1/ a^4 + b^4 + 1/b^4.

40311

If 0

40312

If a, b , c are positive real numbers satisfying abc=32, Find min value of (a+2b)^2 +2(c)^2.

40313

The vertices of a triangle ABC are (1, 2), (āˆ’3, 2) and (āˆ’3, āˆ’1). Find the coordinates of the incentre of the triangle.

can someone solve it using the formula method? please!
40314

N! is completely divisible by 13^52. What is sum of the digits of the smallest such number N?


(a) 11 (b) 15 (c) 16 (d) 19


Approach Please..!!!

40315

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 != d)

0

1

2

More than 2


Give approach as well.

40316

Find the zero(s) of the graph of y= 2(log to the base 2)(x+3)

40317

Given that and 'y' is an integer such that . The number of positive real values of 'x' is ([x] is the greatest integer less than or equal to 'x').

a5

b4

c3

d2


40318

Given that and 'y' is an integer such that y=x[x]. The number of positive real values of 'x' is ([x] is the greatest integer less than or equal to 'x').

a5

b4

c3

d2