CAT 2023 Daily Practice Questions for 30 August 2023

Question 1 : If a and b are non-negative real numbers such that a+2b = 6, then the average of the maximum and minimum possible values of (a+b) is

A. 3.5
B. 4.5
C. 3
D. 4

Question 2 : The length of each side of an equilateral triangle ABC is 3 cm. Let D be a point on BC such that the area of triangle ADC is half the area of triangle ABD. The length of AD, in cm, is

A. √7
B. √6
C. √8
D. √5

Question 3 : The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is

A. 1480
B. 1440
C. 1200
D. 1420
.

Question 4 : Manu earns ₹4000 per month and wants to save an average of Rs 550 per month in a year. In the first nine months, his monthly expense was Rs 3500, and he foresees that tenth month onward, his monthly expense will increase to Rs 3700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be

A. 4350
B. 4400
C. 4300
D. 4200

Question 5: Let f(x) be a quadratic polynomial in x such that f(x) ≥0 for all real numbers x. If f(2)=0 and f(4)=6, then f(–2) is equal to-

A. 36
B. 12
C. 24
D. 6