If x² − 3x + 2 is a factor of x⁴ − px² + q, then (p, q) =

Given below are two statements: Statement I : A coin is tossed three times. The probability of getting exactly two heads is 3/8 Statement II: In tossing of 10 coins, the probability of getting exactly 5 heads is 63/256 In the light of the above statements, choose the correct answ…

In a 100 meter race, A beats B by 10 meters and B beats C by 5 meters. By how many meters does A beat C?

Given below are two statements: Statement I: (√7 + √5)/(√7 − √5) + (√7 − √5)/(√7 + √5) = 2 Statement II: If a + b + c = 0, then (a³ + b³ + c³) ÷ abc = 3 In light of the above statements, choose the correct answer from the options given below

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?

A 100-meter long train crosses a 200-meter long and 20-meter wide bridge in 20 seconds. What is the speed of the train in Km/hour?

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]

In a △ABC, D, E and F are the mid-points of the sides AB, BC and CA respectively. Then the ratio of the area of a △DEF and the area of a △ABC 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…