SSC CPO 12th Dec 2019 Shift-1

The speed of train A is 16 km/h less than the speed of train B. To cover a distance of 384 km, B takes 4 hours less time than A. What is the speed (in km/h) of train B?

If $$66\frac{2}{3}\%$$ of 75% of one-eighth of a certain number is 179, then $$33\frac{1}{3}\%$$ of three-fourth of that number is:

In $$\triangle$$ABC, AB = c cm, AC = b cm and CB = a cm. If $$\angle$$A= 2$$\angle$$B,then which of the following is true?

If $$\frac{8x}{2x^2 + 7x - 2} = 1, x > 0$$, then what is the value of $$x^3 + \frac{1}{x^3}$$?

The average of eleven numbers is 68. The average of the first four numbers is 78 and that of the next four numbers is 63. The $$9^{th}$$ number is two times the $$11^{th}$$ number and the $$10^{th}$$ number is less than the $$11^{th}$$ number. What is the average of the $$9^{th}$$ and $$11^{th}$$ numbers?

In an office, 70% of the total number of employees are females. 80% of the total number of employees, including 85 males, got promotion.If there are 105 female employees, then what percentage of female employees got promotion?

A certain sum (in ₹)is invested at simple interest at x% p.a. for 5 years. Had it been invested at (x + 5)% p.a., the simple interest would have been ₹9,200 more than the earlier one. Whatis the sum?

When 3738, 5659 and 9501 are divided by the greatest possible number x, the remainder in each case is y. What is the sum of x and y?

Let x be the least number divisible by 13, such that when x is divided by 4, 5, 6, 7, 8 and 12, the remainder in each case is 2. The sum of the digits of x is:

In $$\triangle ABC, \angle C = 90^\circ$$ and $$D$$ is a point on $$CB$$ such that $$AD$$ is the bisector of $$\angle A$$. If $$AC = 5 cm$$ and $$BC = 12cm$$, then what is the length of $$AD$$?