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Easy

Question

# 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.

Hint:

## The correct answer is: 4

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Maths-

### 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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General
Maths-

### 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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Maths-

### 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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Maths-

### 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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Maths-

### 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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Maths-

### 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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Maths-

### 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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General
Maths-

### A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm, and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, Find the volume of the wood and that of the graphite?

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General
Maths-

### The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms? ( 1 kilogram = 2.2046 pounds)

Note:
There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.
1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram
1 pound= 16 ounce= 0.07 stone= 435.60 gram

### The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms? ( 1 kilogram = 2.2046 pounds)

Maths-General

Note:
There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.
1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram
1 pound= 16 ounce= 0.07 stone= 435.60 gram

General
Maths-

### The Capacity of a closed cylindrical vessel of height 1m is 15.4 litres. How many square metres of metal sheet would be needed to make it?

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