(a) 1∶ √2
(b) √2 ∶1
(c) 1 : 2
(d) 2 : 1
Q2. A 20 cm long hollow cylindrical tube is made of iron and its external and internal diameters are 8 cm and 6 cm, respectively. The volume of iron used in making the tube is (Use π=22/7)
(a) 1760 cm3
(b) 880 cm3
(c) 440 cm3
(d) 220 cm3
Q3. Water is flowing at the rate of 3 km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled?
(a) 1 hour
(b) 1 hour 40 mins
(c) 1 hours 20 mins
(d) 2 hours 40 mins
Q4. 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
Q5. The edge of an ice cube is 14 cm. The volume of the largest cylindrical ice cube that can be formed out of it is
(a) 2200 cm3
(b) 2000 cm3
(c) 2156 cm3
(d) 2400 cm3
Q6. log sin 1° log sin 2° log sin 3° …log sin 179° =
(a) 0
(b) 1
(c) 1/√2
(d) None of these
Q8. Angle of depression from the top of a lighthouse of two boats are 45° and 30° due east which are 60 m apart. The height of the light house is:
(a) 60√3
(b) 30(√3-1)
(c) 30(√3+1)
(d) None of these
Q9. Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44 m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is:
(a) 2
(b) 3/2
(c) 3
(d) 5/2
Q10. A ladder is resting with one end in contact with the top of a wall of height 12 m and the other end on the ground is at a distance 5 m from the wall. The length of the ladder is?
(a) 13 m
(b) 17 m
(c) 16 m
(d) None of these
Q11.The average weight of 4 men is increased by 3kg when one of them who weighs 120 kg is replaced by another man. What is the weight of the new man?
(a) 125 kg
(b) 150 kg
(c) 122 kg
(d) 132 kg
Q12. B and C together can complete a piece of work in 8 days. A and B can complete the same work in 12 days and A and C can complete the same work in 16 days. In how many days can A, B and C together can complete the work?
(a) 33⁄9
(b) 96⁄13
(c) 98⁄12
(d) 35⁄12
Q13. The average speed of a car is 9⁄5 times the average speed of the bus. A tractor covers 575 km in 23 hours. How much distance the car cover in 4 hours. If the speed of the bus is twice the speed of the tractor?
(a) 340 km
(b) 480 km
(c) 360 km
(d) 450 km
Q14. A, B and C undertake to complete a piece of work for Rs 1950. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3 : 5 : 4, what does C get?
(a) 400
(b) 750
(c) 675
(d) 800
Q15. If 100 men can do 100 jobs in 100 days, then 1 man can do 1 job in
(a) 1 day
(b) 100 days
(c) 50 days
(d) 10 days
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