weekly revision || Quantitative Aptitude || CAT 2021 || 23 May

Which of the following statement(s) is/are true?

I. 2⁴⁰⁰ > 3³⁰⁰

II. 3⁴⁰⁰ > 4³⁰⁰

Let p(x) be a quadratic polynomial such that p(0)=1. If p(x) leaves remainder 4 when divided by x−1 and it leaves remainder 6 when divided by x+1; then:

If p = √11 - √10, q = 3 - 2√2, r = √14 - √13, s = 2√3 - √11 and t = √10 - 3, then:

Find the ratio a : b for the maximum possible value of f(x) = 8 – (5a – 2b)² :

If the maximum value of (x – 6)(y + 5)(z – 4) is 216, where x, y and z  N, then find the value of x + y + z:

If g(x) = f(x²) − f(x) − 6

How many solutions exist for g(x) = 0?

Find the minimum value of x² + 3x + 2 + |x + 2|

A function , where . If the domain of function f(x) is x ≥ 1; which of the following could be the domain of h(x)?

I. all real numbers except 0

II. x ≥ 0

III. x ≤ - 1

When the curve y = log1/10 x and y = 16 −x² are drawn in the x − y plane, how many times do they intersect for value x ≥ 0?