Aptitude

Question 1
The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is
A
4
B
3
C
5
D
6
Question 2
How many 4-digit positive integers divisible by 3 can be formed using only the digits {1,3,4,6,7}, such that no digit appears more than once in a number?
A
24
B
48
C
72
D
12
Question 3
The sum of the following infinite series is
A
11/3
B
7/2
C
13/4
D
9/2
Question 4
In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid. Based on the data provided, the total number of valid votes received by the candidates B and C is
A
45000
B
49500
C
51750
D
54000
Question 5
Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the ability to digest dairy milk. Based on the given passage, which of the following can be inferred?
A
All human beings can digest dairy milk.
B
No human being can digest dairy milk.
C
Digestion of dairy milk is essential for human beings.
D
In human beings, digestion of dairy milk resulted from a mutated gene.
Question 6
Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table. At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?
A
7.5%
B
10%
C
15%
D
20%
Question 7
Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is
A
A
B
B
C
CD
D
Question 8
Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
A
A rhombus
B
A triangle
C
An ellipse
D
A hexagon
Question 9
If ‘→’ denotes increasing order of intensity, then the meaning of the words  [dry → arid → parched] is analogous to [diet → fast → ________ ].
Which one of the given options is appropriate to fill the blank?
A
starve
B
reject
C
feast
D
Deny
Question 10
If two distinct non-zero real variables x and y are such that (x + y) is proportional  to (x — y) then the value of  x / y is    
A
depends on xy
B
depends only on x and not on y
C
depends only on y and not on x
D
is a constant
Question 11
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
A
13.5
B
14
C
11
D
18.7
There are 11 questions to complete.

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