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 other, then K = 27/256

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?

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

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

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) Ch…

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…

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 |…

Two sisters Neha and Monica walk to school from the house. Neha takes 40 minutes while Monica takes 30 minutes. One day Neha started 5 minutes earlier than Monica. In how many minutes would Monica overtake Neha?

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: