Find real questions from previous competitive exam papers with answers and solutions.
Browse complete papersA right circular solid cylinder has radius 7 cm and height 24 cm. A conical cavity of same dimensions is carved out of the cylinder. Then the sum of the areas, in square centimeters, of the inner and the outer surfaces of the remaining solid is
1056
1606
1760
1814
Correct answer
1056
The radius, in centimeters, of the greatest sphere that can be carved out of a soild cone is radius 9 cm and height 40 cm, is
8.6
7.2
6.9
7.6
Correct answer
8.6
The frustrum of a right circular cone has height 12 cm, radius of the base 8 cm and the radius of the top 3 cm. Then the ratio of the volume of the frustum to its total surface/area is
97 ∶ 54
2 ∶ 1
82 ∶ 53
3 ∶ 2
Correct answer
97 ∶ 54
Three cubes of metal whose edges are 3 cm, 4 cm and 5 cm are melted to form a bigger cube. If there is no loss of metal in this process, then the diagonal of the bigger cube, in centimeters, is
\(3\sqrt 3\)
\(4 \sqrt 3 \)
\(8 \sqrt 3 \)
\(6 \sqrt 3 \)
Correct answer
\(3\sqrt 3\)
When each edge of a cube is increased by 10%, then the increase in the total surface area of cube is
44%
21%
20%
40%
Correct answer
44%
A vendor has fixed the rate of a vegetable at Rs. 40 per kg. But he could not find buyers at this rate. So he reduced its price to Rs.35 per kg using a faulty weight of 910 gm for 1 kg. then the actual change in the price is
\(4\frac{{11}}{{13}}% \) decrease
\(4\frac{{11}}{{13}}% \) increase
\(3\frac{{11}}{{13}}% \) decrease
\(3\frac{{11}}{{13}}% \) increase
Correct answer
\(4\frac{{11}}{{13}}% \) decrease
An article when sold for Rs. 1770 fetches 18% profit. If 18 such articles are sold for Rs. 1600 each, then the profit or loss is
\(6\frac{2}{3}% \) profit
\(8\frac{1}{3}% \) profit
\(6\frac{2}{3}% \) loss
\(8\frac{1}{3}% \) loss
Correct answer
\(6\frac{2}{3}% \) profit
A shopkeeper purchased a chair marked at Rs. 750 at two successive discounts of 20% and 10% respectively. If he spent Rs 60 on transportation and sold the chair for Rs. 700, then his gain percentage is
25%
\(15\frac{1}{3}\)%
20%
\(16\frac{2}{3}\)%
Correct answer
25%
A sum of money at simple interest amounts to Rs. 24,000 in 4 years. If the rate of interest is increased by 20% the same sum amounts to Rs. 25,800 in the same time. The original rate of interest is
18%
10%
15%
20%
Correct answer
18%
The interest earned by A on a certain amount compounded at the rate of 10% per annum at the end of two years is Rs. 4,410. Then the total amount that A would have got at the end of first year, in rupees, is
25,410
23,100
21,000
24,410
Correct answer
25,410