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…

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?

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?

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 following pie-chart indicates the monthly domestic budget of a family: A = Food: 20%; B = Conveyance: 15%; C = Clothing: 18%; D = House Rent: 20%; E = Miscellaneous Expenses: 12%; F = Saving: (remaining share, not labelled). If the monthly saving of the family is Rs. 4500, th…

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

Which of the following graphs represent the function of x? (Four graphs (A), (B), (C), (D) are given; (C) is a circle centred at the origin and (D) is the graph y = |x|.) Choose the correct answer from the options given below : [Figure: see page 7 of source PDF]

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…