Quantitative an...

If 14x² - 13x + 3 = 0 and 99y² - 62y + 8 = 0, then which of the following can be the values of x and y?

Deepak invests, an amount of Rs 1,200 at the rate of 5 p.c.p.a. What amount of compound interest will be obtained at the end of 2 years?

If 20 boys and 12 girls can do a work in 9 days and 12 boys and 16 girls can do the same work in 10 days, then find the efficiency ratio of a boy to a girl.

X₁, X₂, X₃, X₄, X₅, X₆, X₇ are 7 natural numbers. The median and mode of the given set of observations are 14 and 12 respectively. The mean of the given observation is 19. X₄ is the median. No two scores above the median are similar.

What is the maximum possible value of X₇?

In the following question, two equations numbered I and II are given. You have to solve both the equations and give your answer:

I. 17m² + 48m = 9

II. 26n² = 4(16n – 6)

The price of petrol is increased by 25%. By what per cent must a car owner reduce his consumption of petrol so as to not increase his expenditure on petrol?

What is the standard deviation of the given set of series? (rounded off to the nearest integer)

3 11 8 16 21 55 5

If 14x + 5y = 16 and 15y - 7x = 6, then what is the value of x - y?

A sum of Rs. 600 amount to Rs. 720 in 5 years. What will be the amount if the rate of interest is increased by 3%?