If there is a reduction in the number of workers in a factory in the ratio 65 : 17 and an increment in their wages in the ratio 34 : 125, then the ratio by which the total wages of the workers should be decreased is-

A train of length 200 m crosses a platform of which is 50 m more than train in 18 sec. Find the speed of train. 

Find the value of ∠x in the given figure.

If x tan45° cos30° = sin30° cos45°, then x is equal to - 

A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in $$1\over4$$  of a day?

A fraction becomes $${1\over 6}$$ when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes $${1\over 3}$$. Then, the LCM of the numerator and denominator of the fraction, must be 

A and B run a 5 km race on a round course of 400m. If their speed are in the ratio 5: 4, the number of times, the winner passes the other is