Three vessels 'P', 'Q' and 'R' of same capacity are all full. Vessels 'P' and 'Q' contain mixture of milk and water in the ratios 4 : 1 and 7 : 3 respectively while vessel 'R' contains only pure milk. The contents of these vessels are poured into a larger vessel 'S'. After drawing 30 litres of mixture from vessel 'S', the final quantity of water left in vessel 'S' is 40 litres, then the capacity of each vessel is:

Match List I with List II List I: (A) If 4a = 5b and 7b = 9c, then a : b : c is equal to (B) If A = 1/4 B and B = 1/2 C, then A : B : C is equal to (C) If P : Q : R = 2 : 3 : 4, then P/Q : Q/R : R/P is equal to (D) If a/7 = b/9 = c/11, then a : b : c is equal to List II: (I) 7 :…

Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test, where 80% men and 70% women were successful. Which of the following statements is/are correct? A. Success rate is higher for w…

Given below are two statements: Statement I: The ratio of the circumference of two circles is 3:4, then the ratio of their area is 9:16. Statement II: If the circumference and the area of a circle are numerically equal, then the diameter is equal to 4. In the light of the above s…

Arrange the following in descending order: A: √401 − √399 B: √301 − √299 C: √101 − √99 D: √201 − √199

A cylindrical box of radius 5 cm contains 10 solid spherical balls, each of radius 5 cm. If the top most ball touches the upper cover of the box, then the volume of empty space in the box is:

The value of (xᵃ/xᵇ)^(a²+ab+b²) × (xᵇ/xᶜ)^(b²+bc+c²) × (xᶜ/xᵃ)^(c²+ca+a²) is:

Amit can do 50% more work than Bhushan in same time. Bhushan alone can do a piece of work in 30 hours. Bhushan starts working and had already worked for 12 hours when Amit joins him. How many hours should Bhushan and Amit work together to complete the remaining work?

A person sold an article for ₹136 and incurred 15% loss. Had he sold it for ₹x, he would have obtained a profit of 15%. Which one of the following is correct?