Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 15

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Weekly Quiz Competition

Question 1
4 / -1

The mean deviation from the median is:

A
Greater than that measured from any other value.

B
Less than the measured from any other value.

C
Equal to that measured from any other value.

D
Maximum if all observations are positive.

Solution

Case 1:

It is a fundamental property.

Example

Consider a set of 5 data points

{1, 2, 3, 4, 5}

median = 3

Deviation from mean:

1 - 3 = -2

2 - 3 = -1

3 - 3 = 0

4 - 3 = 1

5 - 3 = 2

Mean of deviations (about mean) = 0/5 = 0

Case 2:

Consider data point 2

Deviations of data about 2

1 - 2 = - 1

2 - 2 = 0

3 - 2 = 1

4 - 2 = 2

5 - 2 = 3

Mean of deviation of data about 2 =

Mean of deviation of data about median is minimum and this is true for all data.
Question 2
4 / -1

There is a 120 liter mixture of vinegar and water. The ratio of vinegar to water is 7 : 5. A shopkeeper mixes a certain amount of water in order to make the ratio of vinegar to water 5 : 6. The new quantity of water is what percentage of the original quantity of water in the mixture

A
156%

B
145%

C
165%

D
168%

Solution
Question 3
4 / -1

In the figure given below, ABCD is a square of side 4 cm. Quadrants of a circle of diameter 2 cm are removed from the four corners and a circle of diameter 2 cm is also removed. What is the area of the shaded region?

A

B

C

D

Solution

The sum of the area of four quadrants of a circle removed from the corners of the square is equal to the area of the circle of diameter 2 cm.
Question 4
4 / -1

When a number n is divided by 5, the remainder is 2 . When n² is divided by 5 , the remainder will be:

A
0

B
1

C
4

D
3

Solution
Question 5
4 / -1

A
0

B
1

C
π/2

D
tan(A + B + C)

Solution
Question 6
4 / -1

The points (0, 6, 7), (-1, 2, 8) and (1, 10, 6) form?

A
An isosceles triangle

B
An equilateral triangle

C
A right angled triangle

D
None of the above

Solution

Let, A = (0, 6, 7), B = (-1, 2, 8) and C = (1, 10, 6)

Distance between two points
Question 7
4 / -1

A
11.022

B
10.322

C
11.122

D
11.322

Solution
Question 8
4 / -1

The simple interest on a sum for 5 years is one fourth of the sum. The rate of interest per annum is:

A
5%

B
6%

C
4%

D
8%

Solution
Question 9
4 / -1

A and B together complete work in 20 days. B alone can complete the same work in 60 days. They took Rs. 36000 to complete the work. What will be the share of A (in Rs.)?

A
Rs. 18000

B
Rs. 24000

C
Rs. 26000

D
Rs. 22000

Solution
Question 10
4 / -1

Give an example of two irrational numbers, whose sum is a rational number.

A

B

C

D

Solution