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 statements, choose the correct answer from the options given below.

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:

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 :…

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?

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 drawin…

Ravi took a loan from HDBC Bank for his 2-year MBA program at IIM. He took the loan of ₹6 lakh such that he would be charged at 8% per annum compound interest during his program and at 10% per annum compound interest after completion of course. He returned half of the amount whic…

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…

What value comes in place of question mark (?) in the following statements and arrange them in descending order. A. (5/9) × (225.40 − 45.4) = (?)² B. √1024 × 40 + (20)² + 0.5% of 9600 + 469 = (?)³ C. 8¹² ÷ 16² of 32³ × √256 = (2)^? D. 18⅓ + 9⅔ − 10⅓ = 1⅔ + ? Choose the correct an…

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