Q. A circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 8.4 cm, BC = 9.8 cm and CD = 5.6 cm. The length of side AD, in cm, is -
1) 2.8
2) 4.2
3) 3.8
4) 4.9
Q. The ratio of income of two persons A and B is 8:5 and the ratio of their expenditure is 5:3. If the savings of A and B are Rs. 2,400 and Rs. 2,000 respectively, then the income of A (in rupees) is -
1) 21,400
2) 22,400
3) 23,400
4) 24,400
Q. A city of Rajasthan has population 3,00,000, out of which 1,80,000 are male and 50% of the total population is literate. If 70% of the male are literate, then the number of illiterate females is-
1) 93,000
2) 94,000
3) 96,000
4) 97,000
Q. At a fixed rate of interest on any wealth, the simple interest of two years is Rs.120 and compound interest is Rs.129, then the interest rate will be -
1) 15%
2) 12.5%
3) 9%
4) 51%
Q. In a triangle ABC, ∠BAC = 90° and AD is perpendicular to BC. If AD = 6 cm and BD = 4 cm, then the length of BC is -
1) 8 cm
2) 10 cm
3) 9 cm
4) 13 cm
Q. If ax + by = 3, bx - ay = 4 and x2 + y2 = 1, then the value of a2 + b2 is -
1) 17
2) 16
3) 9
4) 25
Q. The perimeter of a semicircular path is 36 m. Find the area of this semicircular path.
1) 42 sq. m
2) 54 sq. m
3) 63 sq. m
4) 77 sq .m
Q. A right circular cylinder and a sphere have the same radius and the same volume. The ratio of the surface area is -
1) 8:3
2) 9:4
3) 4:3
4) 7:6
Q. The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10,000, the present population is -
1) 4600
2) 6400
3) 7600
4) 6000
Q. A person who pays income tax at the rate of 4 paise per rupee, finds that a fall in interest rate from 4% to 3.75% diminishes his net yearly income by Rs. 48. What is his capital?
1) Rs. 24,000
2) Rs. 25,000
3) Rs. 20,000
4) Rs.18,000
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