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Easy

Question

# A pet store has 30 animals. Some are cats and the rest are dogs. The cats cost \$50 each. The dogs cost \$100each. If the total cost for all 30 animals is \$1900, how many cats are there?

Hint:

## The correct answer is: 22 cats

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### The parallel sides of a trapezium are 30 cm and 10 cm and the other two sides are 13 cm and 21 cm. Find its area?

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### A Hollow cylindrical pipe is 21 cm long. If its outer and inner diameters are 10 cm and 6 cm respectively, then find the volume of the metal used in making the pipe?

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### There are 8 people in the lift. Few are ladies and the rest are children. Each lady weighs 150 pounds. Each child weighs 50 pounds. The total weight of the 8 people is 800 pounds. Construct the system of linear equations and use elimination method to solve.

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### If the radius and height of a cylinder are in ratio 5 :7 and its volume is 550 cubic.cm, then find the radius?

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### Which of the following is true about the standard deviations of the two data sets in the table above?

Note:
We could also calculate the standard deviation for both the data sets
The formula for standard deviation is

Where,
= standard deviation
= total number of terms
= terms given in the data
= mean
After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.

### Which of the following is true about the standard deviations of the two data sets in the table above?

Maths-General

Note:
We could also calculate the standard deviation for both the data sets
The formula for standard deviation is

Where,
= standard deviation
= total number of terms
= terms given in the data
= mean
After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.

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Maths-

### 50 animals are there in a shed. Some of the animals have 2 legs and the rest of them have 4 legs. In total there are 172 legs. Frame the system of linear equations and use elimination method to solve .

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### The area of trapezium is 384 sq.cm. If its parallel sides are in the ratio 3:5 and the perpendicular distance between them 12cm. The smaller of the parallel side is

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### A Rectangular sheet of paper 44 cm x 18 cm is rolled along its length and a cylinder is formed. What is the volume of the cylinder so formed?

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### The difference between two parallel sides of a trapezium is 8cm. The perpendicular distance between them is 19cm  while the area of trapezium is 760 sq.cm. What will be the lengths of the parallel sides.

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### A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

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### The sum of 3 consecutive natural numbers is 75. Find the numbers.

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### Find three consecutive even numbers whose sum is 312.

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### The base of a parallelogram is thrice of its height .If the area of the parallelogram is 2187 sq.cm , find its height .

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### Triangles  ABC and DEF  above are similar. How much longer than segment EF  is segment  DE ?

Note:
There are three ways to prove that two triangles are similar- AAA,
SAS, SSS.
AAA means that the corresponding angles are equal,
SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,
SSS means that all three corresponding sides have equal ratio

### Triangles  ABC and DEF  above are similar. How much longer than segment EF  is segment  DE ?

Maths-General

Note:
There are three ways to prove that two triangles are similar- AAA,
SAS, SSS.
AAA means that the corresponding angles are equal,
SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,
SSS means that all three corresponding sides have equal ratio

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### ABCD is a parallelogram and ' 0 ' is the point of intersection of its diagonals AC and BD. If  the area of sq.cm , what is the area of the

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