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Mega Quiz 29 & Weekly Revision || Quantitative Aptitude || CAT 2021 || 03 October

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Question 1

If a, b and c are in a geometric progression then

is equal to:

Question 2

and

are in geometric progression, which of the following holds true?

Question 3

For a sequence we are given

for n being an odd integer greater than 1 and for every even integer value of n greater than 2,

. If

, what is the value of the 51^st term of the sequence?

Question 4

Consider a sequence then n^th term t_n = n/(n + 2), n = 1, 2… the value of t₃ x t₄ x t₅ x …… x t₅₃ equals:

Question 5

The geometric mean of three positive numbers a, b, c is 3 and the geometric mean of another three positive numbers d, e, f is 4 . Also, at least three elements in the set

are distinct. Which one of the following inequalities gives the best information about M, the arithmetic mean of the six numbers?

Question 6

If a real function is defined as f(x) =

, then the maximum value of

is closest to which integral value?

Question 7

In the following question, a pair of graphs F(x) and F1(x) is given. These are composed of straight line segments, shown as solid lines, in the domain

Choose the correct option from the given alternatives.

Question 8

The figure below shows the graph of a function f(x). How many solutions does the equation f (f(x)) = 15 have?
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Question 9

The maximum of 3x + 10y, subject to 3x + 5y ≤ 15, 5x + 2y ≤ 10, where x and y are nonnegative, is

Question 10

The maximum possible value of y = min (1/2 – 3x²/4, 5x²/4) for the range 0 < x < 1 is

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CAT & MBA Quantitative Aptitude

Oct 3CAT & MBA