For the following questions answer them individually
Two trains - A and B- having the lengths 195 m and 165 m, respectively, are running in the same direction on parallel lines. If the speed of A and B be 77 km/h and 85 km/h, respectively, what will be the time (in seconds) taken by them to cross each other?
A field is in the shape of a rectangle of length 90 m and breadth 75 m. In one corner of the field, a pit, which is 18 m long 15 m broad and 6 m deep, has been dug out. The earth taken out of it is evenly spread over the remaining part of the field. Find the rise in the level of the field?
A seller uses faulty weight in place of a 2 kg weight and earns a 25% profit. He claims that he is selling on the cost price in front of the customers but uses a faulty weight. How much error is there in the 2 kg weight to gain 25%?
In the given figure, the length of arc AB is equal to twice the length of radius r of the circle. Find the area of sector OAB in terms of the radius r.
The angles of a triangle are in the ratio 1 : 1 : 2. What percentage of the total internal angle is the greatest angle?
The average salary of all the employees in a company is Rs.14,000. The average salary of 5 technicians is Rs.18,000 and the average salary of the rest is Rs.13,200. The total number of employees in the company is:
Solve the following.
$$\frac{24\div \frac{3}{8} of (8+2\times \overline{7-3})+\left[\frac{2}{11}\div\frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32\div\overline{15-7}+75\div(6+15\div3+4)}$$
A faulty weighing machine reads 1 kg when 900 gm is actually weighted on it. The shopkeeper marked the price of his goods by 10%, but unfortunately he was caught by the metrology department and then they ordered him to repair his weighing machine and gave punishment to sell the goods at 10% discount on cost price for a month. If each customer is now paying ₹20 for 1 kg, then before the raid _______ amount they have paid for the same quantity. (Rounded off to two places of decimal)
In a school, the ratio of the number of boys and girls is 3:4 respectively. If the number of boys increased by 10% and the number of girls increased by 15%, then what is the new ratio of the number of boys and girls?