Match List I with List II. Let A and B be events with P(A) = 2/3, P(B) = 1/2 and P(A ∩ B) = 1/3 List I (Probability of an event): (A) P(A ∩ Bᶜ) (B) P(A ∪ Bᶜ) (C) P(Aᶜ ∩ Bᶜ) (D) P(Aᶜ ∪ Bᶜ) List II (Value): (I) 2/3 (II) 1/3 (III) 5/6 (IV) 1/6 (Here c stands for complement) Choose the correct answer from the options given below:

Arrange the following rational numbers in ascending order: (A) −4/5 (B) −5/12 (C) −7/18 (D) −2/3

In the year 2020, Production of Sugar (in Million Tonnes) by six major production units A-F of India are shown in the table given below: Month | A | B | C | D | E | F April | 310 | 180 | 169 | 137 | 140 | 120 May | 318 | 179 | 177 | 162 | 140 | 122 June | 320 | 160 | 188 | 173 |…

Which of the following statements regarding quadratic equations are true? (A) Solution set for the equation 6x² − 5x = 4 is {−1/2, 4/3} (B) The nature of the roots of the equation 9x² + 6x + 1 = 0 is equal, real and rational. (C) If one root of 4x² − 3x + K = 0 is 3 times the oth…

The difference between the compound interest and simple interest for the amount Rs 5000/- in 2 years is Rs. 32. Then the rate of interest per annum is:

The dimensions of a floor are 18 × 24. What is the smallest number of identical square tiles that pave the entire floor without the need to break any tile?

Given below are two statements Statement I: In the sequence of numbers 30, 90, 182, 306, 462, P, ... the term P is 650. Statement II : There are 8 digits in 9⁸ when it is expressed in decimal form. In light of the above statements, choose the correct answer from the options given…

If A : B = C : D, then the value of (A² + B²)/(C² + D²) is

Given below are two statements Statement I : A committee of 4 can be made out of 5 men and 3 women containing at least one woman in 65 ways. Statement II : The number of words which can be formed using letters of the word 'ARRANGE' so that vowels always occupy even place is 36. I…