Q2. A right circular cone is 3.6 cm high and radius of its base is 1.6 cm. It is melted and recast into a right circular cone with radius of its base as 1.2 cm. Then the height of the cone (in cm) is
(a) 3.6
(b) 4.8
(c) 6.4
(d) 7.2
Q3. Two pipes can fill a tank with water in 15 and 12 hours respectively and a third pipe can empty it in 4 hours. If the pipes be opened in order at 8, 9 and 11 a.m. respectively, the tank will be emptied at
(a) 11:40 a.m.
(b) 12:40 p.m.
(c) 1:40 p.m.
(d) 2:40 p.m.
Q4. 40 men can complete a work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work?
(a) 6
(b) 8
(c) 10
(d) 12
Q6. A person gave 20% of his income to his elder son, 30% of the remaining to the younger son and 10% of the balance, he donated to a trust. He is left with Rs. 10080. His income was:
(a) Rs. 50000
(b) Rs. 40000
(c) Rs. 30000
(d) Rs. 20000
Q7. A person brought some articles at the rate of 5 per rupee and the same number at the rate of 4 per rupee. He mixed both the types and sold at the rate of 9 for 2 rupees. In this business he suffered a loss of Rs. 3. The total number of articles bought by him was
(a) 1090
(b) 1080
(c) 540
(d) 545
Q8. The ratio between Sumit’s and Rahul’s age at present is 2 : 3. Sumit is 6years younger than Rahul. The ratio of Sumit’s age of Rahul’s age after 6 years will be
(a) 2 : 3
(b) 1 : 2
(c) 4 : 3
(d) 3 : 4
Q9. Water flows through a cylindrical pipe, whose radius is 7 cm, at 5 metre per sound. The time, it takes to fill an empty water tank, with height 1.54 metres and area of the base (3 × 5) square metres, is (take 𝜋 = 22/7)
(a) 6 minutes
(b) 5 minutes
(c) 10 minutes
(d) 9 minutes
Q10. In a one-kilometre race A, B and C are the three participants. A can give B a start of 50 m. and C a start of 69 m. The start, which B can allow C is
(a) 17 m.
(b) 28 m.
(c) 20 m.
(d) 18 m.
Q11. A car driver leaves Bangalore at 8 : 30 am and expects to reach a place 300 km from Bangalore at 12:30 am. At 10:30 am he finds that he has covered only 40% of the distance. By how much he has to increase the speed of the car in order to keep up his schedule?
(a) 45 km/hr
(b) 40 km/hr
(c) 35 km/hr
(d) 30 km/hr
Q12. Two circle of same radius 4 cm cut each other such that each circle passes through the centre of another circle. What is the length of the common chord?
(a) 2√3 cm
(b) 4√3 cm
(c) 2√2 cm
(d) 8 cm
Q13. The internal angle of a regular polygon is 108° more than its external angle. What is the number of sides of the polygon?
(a) 12
(b) 16
(c) 14
(d) 10
Q14. The chord of a circle is 10.1 cm long. What should be the radius of the circle?
(a) 5 cm
(b) Greater than 5 cm
(c) Greater than 5 cm or equal
(d) Less than 5 cm
Q15. A man purchased some eggs at the rate of Rs. 10 per dozen and again purchased 3/4 of them at the rate of Rs. 12 per dozen. Then he sold all eggs at the rate of Rs. 13 per dozen and made a profit of Rs. 30. Find the total number of eggs he purchased altogether.
(a) 8 dozens
(b) 9 dozens
(c) 10 dozens
(d) None of these
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