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. In light of the above statements, choose the correct answer from the options given below

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?

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

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…

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?

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]

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…

Mohan bought a trouser at 10% discount and sold it to Sohan at a loss of 10%. If Sohan paid Rs. 729 for the trouser to Mohan, then what was the undiscounted price of the trouser?

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