1. Find the smallest five-digit number that is divisible by 12, 15, and 18.
2. What is the smallest 5-digit number divisible by 3?
3. Solve for xxx: log2(x+3)=4\log_2 (x + 3) = 4log2(x+3)=4.
4. A train 250 meters long is running at a speed of 90 km/h. How much time will it take to cross a man walking at 6 km/h in the same direction as the train?
5. Which number is the odd one out?
6. What is the square root of 900900900?
7. Which of the following is a quadratic expression?
8. The average of three numbers is 27. If one of the numbers is 30 and the other is 25, what is the third number?
9. What is the value of log525\log_5 25log525?
10. What is the degree of the polynomial 3x2+2x−53x^2 + 2x - 53x2+2x−5?
11. The average of 8 consecutive even numbers is 24. What is the smallest of these numbers?
12. The average of 15 consecutive odd numbers is 47. What is the largest number in the series?
13. How many degrees will the minute hand move in 30 minutes?
14. The ratio of the ages of two persons is 5:7. If the sum of their ages is 48 years, what is the age of the older person?
15. The radius of a sphere is 7 cm. What is the surface area of the sphere?
16. The entropy of the universe:
17. The second law of thermodynamics states that:
18. The Rankine cycle is used in:
19. In which thermodynamic process is the heat supplied entirely used for doing work?
20. In an isochoric process, which thermodynamic quantity remains constant?
21. In a bolted joint, the primary purpose of the nut is to:
22. The unit of Young's modulus is:
23. The enthalpy of vaporization is:
24. The term "factor of safety" is defined as:
25. A material is said to be ductile if:
26. In a vapor-compression refrigeration cycle, the refrigerant enters the compressor as:
27. The angle between the principal planes can be determined from Mohr's Circle as:
28. The normal stress acting on a material is:
29. The efficiency of a Carnot engine depends on:
30. In the superheated region of a pure substance, the temperature is: