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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:
![](https://gradeup-question-images.grdp.co/liveData/PROJ21720/1538129698611218.png)
Question 2
If
,
and
are in geometric progression, which of the following holds true?
![](https://gradeup-question-images.grdp.co/liveData/PROJ119/1469871532829949.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ119/1469871533550260.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ119/1469871534243462.png)
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 51st term of the sequence?
![](https://gradeup-question-images.grdp.co/liveData/PROJ57847/1598943773552133.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ57847/1598943774356780.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ57847/1598943775173940.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ57847/1598943775898430.png)
Question 4
Consider a sequence then nth term tn = 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?
![](https://gradeup-question-images.grdp.co/liveData/PROJ41627/1575280810143852.png)
Question 6
If a real function is defined as f(x) =
, then the maximum value of
is closest to which integral value?
![](https://gradeup-question-images.grdp.co/equations/1633080242769.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ56104/1596619984288135.png)
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.
![](https://gradeup-question-images.grdp.co/liveData/PROJ21554/1537554249489713.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ21554/1537554248753151.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ21554/1537554249489713.png)
Question 8
The figure below shows the graph of a function f(x). How many solutions does the equation f (f(x)) = 15 have?
![Description: Description: Description: E:\CAT\XAT\XAT_2013_Question_Paper_and_Ans_Key_files\image070.png](https://gradeup-question-images.grdp.co/liveData/PROJ1850/1482322828010734.png)
![Description: Description: Description: E:\CAT\XAT\XAT_2013_Question_Paper_and_Ans_Key_files\image070.png](https://gradeup-question-images.grdp.co/liveData/PROJ1850/1482322828010734.png)
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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