UP POLICE CONSTABLE MATHS QUIZ-8

S.P. of 4 shoes is equal to the profit on selling 12 Sandals and loss on selling 12 shoes equals to the S.P. of 6 sandals. Cost of a shoes is equal to one-fourth of cost a sandal. What is ratio of S.P. of a shoes to S.P. of a sandal given that profit % is equal to the loss %?

$104 \div[68-\{29-(45-56 \div 7 \times 4)\}]=?$

During one experiment the bacterial count was increasing at the rate of $2.5 \%$ per hour. Initially their number was 512000 . What will be the number of bacteria at the end of two hours?

The product of two numbers is 2028 and their H.C.F. is 13 . The number of such pairs, is

The average age of 12 players of a team is 25 years. If the captain's age is included, the average age increases by 1 year. The age of the captain is :

The number of employees in an office is decreased in $11: 8$ and the salary of each employee is increased in $12: 17$, then office expenditure increases by Rs 1800 , what was the total salary of the employees in the beginning? (in Rupees).

The distance between two stations is $380 \mathrm{~km}$. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than the other by $7 \mathrm{~km} / \mathrm{h}$. If the distance between the two trains after 2 hours of their start is $126 \mathrm{~km}$, then find the speed of each train.

Person A, B and C can complete a task together in 81 days. A and B can completed the same task together in $97.2$ days. B and C can complete the same task together in 162 days. In how many days can $B$ alone complete the task?

The interest, compounded annually, on a sum of Rs.3,240 after two years is Rs.370. What is the rate of interest, correct up to two decimal places?

The diameter of an iron ball used for shot-put is 21 cm. It is melted and then a cylinder of height 3.5 cm is made. The curved surface area of the cylinder will be: (Take $\pi=\frac{22}{7}$ )