1.
A cone has a radius of 5 cm and a height of 12 cm. What is the volume of the cone?
Hint
2.
A starts a business with ₹50,000. After 6 months, B joins with ₹75,000. At the end of the year, the total profit is ₹33,000. What is B's share of the profit?
Hint
3.
If a number is divisible by both 2 and 3, it must be divisible by which of the following?
Hint
4.
The radius of a sphere is 7 cm. What is the surface area of the sphere?
Hint
5.
What is the product of the first 5 prime numbers?
Hint
6.
A company issues 10,000 shares at ₹50 each. What is the total capital raised by the company?
Hint
7.
What is the decimal equivalent of 23\frac{2}{3}32?
Hint
8.
A boat covers a distance of 16 km downstream in 2 hours. It takes 4 hours to cover the same distance upstream. Find the speed of the boat in still water.
Hint
9.
What is the value of 0.25 as a fraction?
Hint
10.
What is the sum of the first 50 positive integers?
Hint
11.
What is the angle between the hour and minute hands of a clock at 12:45?
Hint
12.
Find the cube root of 729729729.
Hint
13.
A man bought 20 articles for ₹500 each. He sold 10 articles at a profit of 20% and the remaining 10 at a loss of 10%. What is the overall profit or loss percentage?
Hint
14.
A company issues 1000 shares at Rs. 100 each and provides a dividend of 15%. How much is the total dividend paid by the company?
Hint
15.
Which of the following numbers is the odd one out?
Hint
16.
The term "liquefaction" in geotechnical engineering refers to:
Hint
17.
In the Coulomb earth pressure theory, the earth pressure depends on:
Hint
18.
What is a wireless sensor network (WSN) used for in Structural Health Monitoring (SHM)?
Hint
19.
Which of the following is a method used to improve the bearing capacity of soil?
Hint
20.
Which of the following is the most important factor in the design of foundations for high-rise buildings?
Hint
21.
The influence line for a reaction at a support in a simply supported beam is:
Hint
22.
How can temperature variations affect distance measurements with a tape or chain?
Hint
23.
The shear strength of a soil is determined by:
Hint
24.
The "curvature" of a railway track is critical for:
Hint
25.
What is the purpose of a building's life cycle analysis?
Hint
26.
The term "Poisson’s ratio" is defined as the ratio of:
Hint
27.
Which type of error occurs due to unpredictable variations in measurement?
Hint
28.
What is the significance of the factor of safety in structural engineering?
Hint
29.
The permeability of coarse-grained soils (such as gravel) is typically:
Hint
30.
In a tensile test, the ultimate tensile strength (UTS) of a material is:
Hint
