<![CDATA[CAT Question Bank - Maxima & Minima]]>Number of Questions - 30
Topic - Maxima & Minima
Answer key available? - No
Source - Curated Content
]]>https://www.mbatious.com/topic/930/cat-question-bank-maxima-minimaRSS for NodeWed, 23 Oct 2019 11:36:40 GMTTue, 24 Oct 2017 05:37:30 GMT60<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Wed, 01 Nov 2017 05:51:49 GMT]]>Number of Questions - 30
Topic - Maxima & Minima
Answer key available? - No
Source - Curated Content
]]>https://www.mbatious.com/post/5521https://www.mbatious.com/post/5521Wed, 01 Nov 2017 05:51:49 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Wed, 01 Nov 2017 05:46:01 GMT]]>Q1) If ax^2 + bx + 6 = 0 has no distinct real roots then find the minimum value of 3a + b, if a & b are real.
]]>https://www.mbatious.com/post/5522https://www.mbatious.com/post/5522Wed, 01 Nov 2017 05:46:01 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Wed, 01 Nov 2017 05:55:20 GMT]]>Q2) Find the minimum value of a + b + c if a * b * c = 90 and a, b and c are natural numbers.
]]>https://www.mbatious.com/post/5523https://www.mbatious.com/post/5523Wed, 01 Nov 2017 05:55:20 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:56:57 GMT]]>Q3) If x and y are real numbers such that x^2 + 2xy − y^2 = 2, what is the minimum value of x^2 + y^2
]]>https://www.mbatious.com/post/5524https://www.mbatious.com/post/5524Tue, 24 Oct 2017 06:56:57 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:48:40 GMT]]>Q4) Find the maximum and minimum values of |x+1| + 3|x-2| + 4|x-6| = 20
]]>https://www.mbatious.com/post/5525https://www.mbatious.com/post/5525Tue, 24 Oct 2017 05:48:40 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:46:00 GMT]]>Q5) If x and y are positive integers satisfying 17x + 8y = 3051. What will be the difference between maximum and minimum values of x and y?
]]>https://www.mbatious.com/post/5526https://www.mbatious.com/post/5526Tue, 24 Oct 2017 05:46:00 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:56:00 GMT]]>Q6) Find the maximum value of 2^(1/(x^2 - x + 1))
]]>https://www.mbatious.com/post/5527https://www.mbatious.com/post/5527Tue, 24 Oct 2017 06:56:00 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:12:41 GMT]]>Q7) Find the maximum and minimum values of (x^2 + 14x + 9) / (x^2 + 2x + 3) (given x is a real number)
]]>https://www.mbatious.com/post/5528https://www.mbatious.com/post/5528Tue, 24 Oct 2017 06:12:41 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:52:07 GMT]]>Q8) Find the maximum and minimum values of 3x + 4y if x^2 + y^2 = 14x + 6y + 6 and x, y are positive real numbers.
]]>https://www.mbatious.com/post/5529https://www.mbatious.com/post/5529Tue, 24 Oct 2017 05:52:07 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:52:59 GMT]]>Q9) f(x) = max (2x + 1, 3 - 4x). Find minimum value of f(x), if x belongs to [3,7]
]]>https://www.mbatious.com/post/5530https://www.mbatious.com/post/5530Tue, 24 Oct 2017 05:52:59 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:54:32 GMT]]>Q10) f(x) = minimum (4x + 3, x + 4) for x belongs to 0 to 2. What is the maximum value of f(x)?
]]>https://www.mbatious.com/post/5531https://www.mbatious.com/post/5531Tue, 24 Oct 2017 05:54:32 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:56:07 GMT]]>Q11) if x * y * z = 2002 and x > y > z ≥ 2 then find the maximum and minimum values of x + y + z
]]>https://www.mbatious.com/post/5532https://www.mbatious.com/post/5532Tue, 24 Oct 2017 05:56:07 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:56:41 GMT]]>Q12) If (x + 2)^2 = 9 and (y + 3)^2 = 25, then the sum of maximum and minimum values of x/y is ?
]]>https://www.mbatious.com/post/5533https://www.mbatious.com/post/5533Tue, 24 Oct 2017 05:56:41 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:58:35 GMT]]>Q13) Find the sum of maximum and minimum values of x^2/(1 + x^4) where x is real
]]>https://www.mbatious.com/post/5534https://www.mbatious.com/post/5534Tue, 24 Oct 2017 05:58:35 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 05:59:23 GMT]]>Q14) If |x| + |y| = 10, then what is the sum of minimum and maximum values of x + y ?
]]>https://www.mbatious.com/post/5535https://www.mbatious.com/post/5535Tue, 24 Oct 2017 05:59:23 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:01:57 GMT]]>Q15) a, b, c and d are four positive real numbers such that a^2 + b^2 + c^2 + d^2 = 100. What is the maximum
possible value of a + b + c + d ?
(a) 30
(b) 10
(c) 20
(d) None of these
]]>https://www.mbatious.com/post/5536https://www.mbatious.com/post/5536Tue, 24 Oct 2017 06:01:57 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:03:07 GMT]]>Q16) Find the maximum value of x * y * z, if x^2 + y^3 + z^4 = 26
]]>https://www.mbatious.com/post/5537https://www.mbatious.com/post/5537Tue, 24 Oct 2017 06:03:07 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:04:01 GMT]]>Q17) If a * b * c * d * e = 32 then minimum value of the expression (a + 1) * (b + 1) * (c + 1) * (d + 1) * (e + 1)
]]>https://www.mbatious.com/post/5538https://www.mbatious.com/post/5538Tue, 24 Oct 2017 06:04:01 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:05:17 GMT]]>Q18) Find the maximum and minimum value of sin³x + cos³x
]]>https://www.mbatious.com/post/5539https://www.mbatious.com/post/5539Tue, 24 Oct 2017 06:05:17 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:06:00 GMT]]>Q19) If minimum value of A is -1 then find the minimum value of A + (1/A)
]]>https://www.mbatious.com/post/5540https://www.mbatious.com/post/5540Tue, 24 Oct 2017 06:06:00 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:06:25 GMT]]>Q20) If f(x) = min(1 - 3|x|, 2|x| - 1), find the maximum value of f(x).
]]>https://www.mbatious.com/post/5541https://www.mbatious.com/post/5541Tue, 24 Oct 2017 06:06:25 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Wed, 01 Nov 2017 09:00:30 GMT]]>Q21) Find the minimum value of (p + q + r)(1/p + 1/q + 1/r) where p, q and r are natural numbers.
]]>https://www.mbatious.com/post/5542https://www.mbatious.com/post/5542Wed, 01 Nov 2017 09:00:30 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:09:44 GMT]]>Q22) Let x, y, z be three non-negative integers such that x + y + z = 10. The maximum possible value of xyz + xy + yz + zx is
]]>https://www.mbatious.com/post/5543https://www.mbatious.com/post/5543Tue, 24 Oct 2017 06:09:44 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:11:49 GMT]]>Q23) which of the following is the maximum value of f(x) = x / (x^2 - x + 1) ? ( given x is a real number )
a) -1/3
b) 2
c) 1
d) 1/3
]]>https://www.mbatious.com/post/5544https://www.mbatious.com/post/5544Tue, 24 Oct 2017 06:11:49 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:14:00 GMT]]>Q24) A function f(x) is defined as f(x) = min{4x + 1, x + 2, -2x + 4}
Then maximum value of f(x) is
a) 2
b) 5/2
c) 8/3
d) 17/6
e) 3
]]>https://www.mbatious.com/post/5545https://www.mbatious.com/post/5545Tue, 24 Oct 2017 06:14:00 GMT<![CDATA[Reply to CAT Question Bank - Maxima & Minima on Tue, 24 Oct 2017 06:46:08 GMT]]>Q25) A function f(x) is defined for all real values of x as min(–x^2, x – 20, –x – 20).
What is the maximum value of f(x)?
(a) –16
(b) –20
(c) –25
(d) None of these
]]>https://www.mbatious.com/post/5546https://www.mbatious.com/post/5546Tue, 24 Oct 2017 06:46:08 GMT