In a △PQR, point X is on PQ and point Y is on PR such that XP = 1.5 units, XQ = 6 units, PY = 2 units and YR = 8 units. Consider the following statements: Statement I: QR = 5 XY Statement II: △PYX is similar to △PRQ In the light of the above statements, choose the correct answer from the options given below.

The probability that the birthdays of 4 different persons will fall in exactly two calendar months is:

A consignment of 15 wrist watches contains 4 defectives. The wrist watches are selected at random, one by one and examined. The ones examined are not replaced back. What is the probability that ninth one examined is the last defective?

From the passage: Study the bar-graph given below carefully and answer the questions. Ba...

Multigrain packets sold by stores 'A' and 'B' together are what percent more or less than whole-wheat packets sold by stores 'C' and 'D' together?

In how many ways can the following prizes be given away to a class of 30 students, first and second in Mathematics, first and second in Physics, first in Chemistry and first in English?

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…

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…

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 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: