Mathematics (Pa...

If z denotes a digit in the given number 789z45, such that the number is divisible by 3, then what can be the value of z?

(2³ + 6) : 4² is same as

Find the simplified form of (x² – 3)(x + 3) + 9.

The mean consumption of petrol of a group of 20 cars is 65 litres. 2 other cars with consumption as 89 litres and 85 litres, respectively were added to the group. What is the new mean consumption for the group of cars?

A dice is rolled and a coin is tossed. What is the probability of getting heads and an even number?

What will be the value of 56² - 14²?

Which of the following is a perfect cube?

A batch of troopers was in a camp for 1 month and 20 days from 1^st June. There was enough food for 70 troopers, but 10 of them left after 20^th day. How long will the food last, if they consume food at the same rate?

Mohak is travelling from one part of Toronto to another, which is 30 km away. He began his journey in a metro at the speed of 50 km/h and covered half of the distance. Then, he covered the rest of the distance in a local bus at a speed of 20 km/h. How much time did he take to reach from one part of Toronto to another?

How many 2-digit numbers are possible such that the sum of their digits is equal to twice the difference between the digits?

If 0.48 + 1(8a + 3) = 0.96(0.5 + 9a), then a is equal to

A person has a rope and he wants to make a square from that rope. The square that he makes using the rope has an area of 225 m². Find the length of the rope.

The perpendicular distance between the parallel sides of a trapezium is 15 cm. If the area of the trapezium is 495 cm², then find the length of the larger of parallel sides, if they are in ratio of 6 : 5.

Which of the following least numbers must be added to 621 to make it a perfect square?

A person is filling fuel in the car. The tank of the car is in the form of a cylinder. If height of tank is 80 cm and diameter is 84 cm, then calculate the fuel that a person can fill in that car.

By what least number should 13718 be divided to get a perfect cube?

A sold a watch to B at a gain of 5% and B sold it to C at a gain of 4%. If C paid Rs. 1,092 for it, the price paid by A is

Adolf can do a task in 15 days, but Beggie can do the same task in 25 days. Both started working together, but after 6 days, Adolf left. In how many days will Beggie complete the remaining task?

There are 96 square tiles which make up the floor of the hall in a wedding palace. If the perimeter of each tile is 8 m, what is the area of the floor of the hall?

Find the number of small cubes of 100 cm edge that can be cut out from a cube of 5 m edge.

Ella is trying to find the volume of a cuboid whose edges are in ratio of 2 : 3 : 4. Find the volume of the cuboid, if the surface area is 1300 cm².

A cyclist started with a speed of 30 km/hr in a race. After every lap of one hour each, he increased his speed by 5 km/h. In how many laps will he cover 450 km?

The average of 21 results is 54. If the average of the first 11 results is 51 and that of the last 11 is 57, find the 11^th result.

What will be the value of (z + 2)(z² + 2)(z - 4)?

What is the value of 9x - 52 + x²?

If (x + y + z) = 5 and xy + yz + xz = 8, then what is the value of x² + y² + z²?