Quantitative Aptitude - Arithmetic Ability Questions

If sin3A = x, then value of x is

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

The average height of 40 sticks is 154 cm. Some sticks of average height 160 cm are taken out. If the new average height is 150 cm, then how many sticks are remaining?

A man travels 800 km in partly by rail and partly by steamer. He spends 7 hours more time on steamer. If the velocity of the steamer is 20 km/hr and the velocity of rail is 55 km/hr, how much distance does he cover by steamer?

A shopkeeper purchased 510 eggs at the rate of Rs. 20 per dozen. 30 eggs were broken on the way. In order to make a gain of 20%, he must sell the remaining eggs at the rate of

If Sec θ = 5/3, then what is the value of Cosec θ?

If Rs. 10000 amounts to Rs. 11664 invested in compound interest(compounded annually) for two years then the annual rate of compound interest is

What would be the smaller of the two angles formed by the hour hand and the minute hand at 4:52 p.m?