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

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?

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 △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:

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

A milkman adds 10 litres of water to 90 litres of milk. After selling 1/5th of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be:

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 : The set of numbers (5, 6, 7, p, 6, 7, 8, q) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then p × q = 16. Statement II: Let p and q be two positive integers such that p + q + p × q = 94. Then p + q = 20…

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?