Q1. In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:
F = 9/5 C + 32
Find the co-ordinates of the above equation which is numerically the same in both Fahrenheit and Celsius.
(a) (20, 20)
(b) (40, 40)
(c) (-40, -40)
(d) (-20, -20)
Q2. In triangle ABC, AD is the internal bisector of angle A meeting the side BC at D. If BD = 5 cm and BC = 7.5 cm, then AB : AC is.
(a) 1 : 2
(b) 2 : 1
(c) 2 : 3
(d) 3 : 4
Q3. The total earnings of A, B and C are Rs. 76000 and they save 30%, 25% and 20% of their incomes respectively. If their savings are in the ratio of 4 : 5 : 6, then the total earnings of A and B is more than the earnings of C by .
(a) Rs. 2000
(b) Rs. 3000
(c) Rs. 6000
(d) Rs. 4000
Q5. A machine is market at Rs. 7,500 for sale. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. The net selling price (in Rs.) is.
(a) 6,415.40
(b) 6,400.30
(c) 6,423.90
(d) 6,427.50
Q6. A, B and C start together from the same point to travel around a circular island 30 km in circumference. A and B are travelling in the same direction and C is in the opposite direction. If A travels 5 km, B travels 7 km and C travels 8 km in an hour, then they all come together again after.
(a) 30 hours
(b) 15 hours
(c) 20 hours
(d) 25 hours
Q9. In the certain examination, 77% candidates passed in English and 34% failed in Mathematics. If 13% failed in both the subjects and 784 candidates passed in both the subjects, then the total number of candidates was.
(a) 1800
(b) 1200
(c) 1400
(d) 1600
Q10. If a number is as much greater than 31 as it is less than 75, then the number is.
(a) 106
(b) 44
(c) 74
(d) 53
Q12. Two solid spheres of radii 1 cm and 3 cm are moulded into a solid right circular cone of height 7 cm. The diameter of the base of the cone is.
(a) 8 cm
(b) 16 cm
(c) 4 cm
(d) (4√3)/3 cm
Q13. The radius of a sphere is doubled. By what percent is the volume increased?
(a) 600%
(b) 700%
(c) 400%
(d) 500%
Q14. A and B can complete a work individually in 20 days and 12 days respectively. A starts the work and after a few days, leaves the work. Then B starts the work and the work is completed by him in 9 days, then A works for.
(a) 5 days
(b) 7 days
(c) 2 days
(d) 3 days
Q15. A man fixes half of his savings at a compound interest of 8% and half at a simple interest of 10%. After two years, his overall gain is.
(a) 18.6%
(b) 19%
(c) 18%
(d) 18.32%
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