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
Q. A train is running at a speed of 90 km/ hr. If it crosses a signal in 10 sec, the length of the train in meters is -
1) 150
2) 324
3) 900
4) 250
Q. Kishan spends 30% of his salary on food and donates 3% to a Charitable Trust. He spends Rs. 2,310 on these two items, the total salary for that month is -
1) Rs. 6,000
2) Rs.8,000
3) Rs.9,000
4) Rs.7,000
Q. A's salary is increased by 10% and then decreased by 10%. The change in salary is -
1) 0%
2) 1% decrease
3) 1% increase
4) 2% decrease
Q. A sells a cycle to B at a profit of 10%, and B sells to C at a profit of 20%. If C pays Rs. 264 for it, how much did A pay for it?
1) Rs.200
2) Rs.220
3) Rs.225
4) Rs.234
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