Q. The perimeter of an isosceles triangle is 18 cm. Its lateral side and the base are in the ratio 7:4. The area of the triangle is
1) 8&radic5 cm2
2) 6&radic5 cm2
3) 4&radic5 cm2
4) 10&radic5 cm2
Q. If the volumes of two cones are in the ratio 1:4 and the diameters of their bases are in the ration 4:5, then the ratio of their heights is
1) 1:25
2) 25:16
3) 16:125
4) 25:65
Q. If the diameter of a circle is increased by 100%, its area is increased by
1) 300%
2) 400%
3) 100%
4) 200%
Q. If x = 2+√3, then the value of x2 - 4x + 2 is
1) 1
2) 2
3) 3
4) 4
Q. A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls. The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is
1) 1.4 cm
2) 1.8 cm
3) 2.1 cm
4) 2.5 cm
Q. The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years, while that of the girls is 15.4 years. What is the ratio of boys to girls in the class?
1) 1:2
2) 3:4
3) 3:5
4) 2:3
Q. There were 984 mangoes on 12 trees of a mango-garden. What will be the average number of mangoes per tree after taking down 26 mangoes in average from 5 trees and 38 mangoes in average from 7 trees?
1) 53
2) 49
3) 45
4) 39
Q. Rs. 25,000 is borrowed at compound interest at the rate of 3% for the first year, 4% for the second year and 5% for the third year. The amount to be paid after 3 years is
1) Rs. 28,119
2) Rs. 29,118
3) Rs. 28,129
4) Rs. 28,117
Q. A bag contains Rs. 121 in the form of 1 rupee, 50 paise and 25 paise coins in the ratio 1:2:3. Find the number of each type of coins (1 Re, 50P, 25P respectively).
1) 40, 92, 140
2) 42, 92, 132
3) 45, 90, 132
4) 44, 88, 132
Q. A dealer buys a table listed at Rs. 1,500 and gets successive discounts of 20% and 10%. He spends Rs. 20 on transportation and sells it at a profit of 20%. The selling price of the table is
1) Rs. 1,320
2) Rs. 1,350
3) Rs. 1,360
4) Rs. 1,380
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