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Browse complete papersA solid cylinder is reduced in radius by 20% and increased in height by 50%. What net percentage change occurs in its volume?
20% increase
10% decrease
7% increase
4% decrease
Correct answer
20% increase
A triangular prism has a base formed by a triangle with side lengths 9cm, 12 cm, and 15 cm. If the height of the prism (perpendicular to the base) is 10 cm, calculate its lateral surface area.
360 cm2
420 cm2
480 cm2
540 cm2
Correct answer
360 cm2
The volume of a solid hemisphere is \(\frac{396}{7}\) cm3 Find the total surface area of hemisphere
74.85 cm2
64.76 cm2
84.75 cm2
84.85 cm2
Correct answer
74.85 cm2
If the total surface area of a hemisphere is 462 cm2, calculate its radius.
7 cm
8 cm
9 cm
10 cm
Correct answer
7 cm
If the area of the circular base of a hemisphere is 308 cm2, find the volume of the hemisphere
1235.33√2 cm3
1658.33√2 cm3
1537.33√2 cm3
1437.33√2 cm3
Correct answer
1235.33√2 cm3
The area of a sector is 18 π cm2, and its radius is 6 cm. What is the central angle (in radians)?
π
\(\frac{\pi}{2}\)
2π
\(\frac{3\pi}{2}\)
Correct answer
π
A chord of length 24 cm subtends a right angle at the center of the circle. What is the radius of the circle?
10√2 cm
12√2 cm
8√3 cm
24√3 cm
Correct answer
10√2 cm
A circle is inscribed in a right-angled triangle with legs of length 5 and 12. What is the area of the quadrilateral formed by the two legs and the two radii to the tangent points on the legs?
4 square units
14 square units
23 square units
24 square units
Correct answer
4 square units
Anita took a loan of Rs. 8,000 at a simple interest rate of 7% per annum for 3 years. What will be the simple interest and the total amount she has to repay after 3 years?
SI = Rs. 1,680; Total = Rs. 9,680
SI = Rs. 1,600; Total = Rs. 9,600
SI = Rs. 1,700; Total = Rs. 9,700
SI = Rs. 1,800; Total = Rs. 9,800
Correct answer
SI = Rs. 1,680; Total = Rs. 9,680
Aman invested Rs. 6,000 in a scheme that gives 5% simple interest per annum. What will be the interest earned and the total amount after 5 years?
SI = Rs. 1,200; Total = Rs. 7,200
SI = Rs. 1,500; Total = Rs. 7,500
SI = Rs. 1,000; Total = Rs. 7,000
SI = Rs. 1,400; Total = Rs. 7,400
Correct answer
SI = Rs. 1,200; Total = Rs. 7,200