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

L and M together can complete a piece of work in 72 days, M and N together can complete it in 120 days, and L and N together in 90 days. In what time can L alone complete the work?

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:

M is a 4-digit number. If the left most digit is removed, then the resulting three digit number is 1/9th of M. How many such M's are possible?

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:

In June-2020, the ratio of boys to girls in a college was 3 : 2. In September-2020, there were 80 fewer boys and 20 fewer girls in the college and the ratio of boys to girls was 7 : 5. What was the total number of students in the college in June-2020?

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?

Two pipes A and B can fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill the same tank in:

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