Mega Quiz 8 and weekly revision || Quantitative aptitude || CAT 2021 || 09 May (App update required to attempt this test)

If where , what is the value of m?

Let a = (log₂ x)² − 12 log₂ x + 48, where x is a real number.

The number of distinct roots of x^a – 4³² = 0 is

If P = 5(log₂ x) – 8, where x is a Natural number. If x^P = 16, then find the value of x. (TITA)

The minimum possible value of the sum of the squares of the roots of the equation x² + (a + 3)x - (a + 5) = 0 is

If A and B are the roots of the quadratic equation x² - (k - 3)x - 2k - 1 = 0, where k is some real number, find the minimum value of A² + B² + 7 (TITA)

The number of distinct real roots of the equation equals (TITA)

Find the average of the following series: 1 × 2 × 3 × 4 + 2 × 3 × 4 × 5 + 3 × 4 × 5 × 6 + … + 11 × 12 × 13 × 14 (TITA)

In how many ways can 350 be written as sum of five terms of an Arithmetic Progression (AP), such that all the five terms of the AP are positive integers?

The number of common terms in the two sequences: 15, 19, 23, 27, ...... , 415 and 14, 19, 24, 29, ...... , 464 is

A ball is dropped from a height of 40 feet, and it rebounds one half the distance through which it falls. The total distance in feet travelled by the ball before it comes to rest is

If xy = 96 and x² + y² = 208, then the value of (x + y) is:

If a + b + c = 9, a³ + b³ + c³ – 3abc = 1026, then what is the value of ab + bc + ca?