TNPSC Group 1 2015 Preliminary Examination
Aptitude Questions 1 to 25
1.
Among the 50 students in a class, what percentage of students like biology and chemistry?
| Subjects | No. of Students |
|---|---|
| Mathematics | 6 |
| Physics | 12 |
| Chemistry | 15 |
| Biology | 8 |
| Computer Science | 9 |
Answer:
B.
46%
2.
For any \(n\) observations of data, what is the value of \((\Sigma x)-n\bar{x}\) ?
Answer:
D.
\(0\)
3.
Simplify: \(\dfrac{(0.728 \times 0.728 - 0.272 \times 0.272)}{0.456}\)
Answer:
B.
1
4.
If \(\dfrac{x}{y}=\dfrac{3}{5}\), then \(\dfrac{5x+2y}{5x-2y}\) is equal to
Answer:
B.
\(5\)
5.
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one half of the age of his mother. How old is the mother at present?
Answer:
B.
40
6.
Find the value of \(\dfrac{1.2\times1.2\times1.2-0.2\times0.2\times0.2}{1.2\times1.2+1.2\times0.2+0.2\times0.2}\)
Answer:
B.
1
7.
A bicycle marked at Rs. 1,500 is sold for Rs. 1,350. What is the percentage of discount?
Answer:
D.
10
8.
Which one of the following is the smallest ratio?
7 : 13, 17 : 25, 7 : 15, 15 : 23
7 : 13, 17 : 25, 7 : 15, 15 : 23
Answer:
C.
7 : 15
9.
In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to be 1 : 2, then what is the quantity of water to be further added?
Answer:
D.
60 l
10.
Two numbers are in the ratio 3 : 5. If 9 be subtracted from each, then they are in the ratio 12 : 23. Find the second number
Answer:
D.
55
11.
Sum of squares of three positive numbers is 608 and they are in the ratio 2 : 3 : 5. Then, find the numbers
Answer:
B.
8, 12, 20
12.
If 30% of A = 0.25 of B = \(\dfrac{1}{5}\) of C, then find the ratio A : B : C
Answer:
C.
10 : 12 : 15
13.
What is the third proportional to 0.34 and 0.50?
Answer:
A.
0.74
14.
In a cylinder, if radius is doubled and height is halved then what happens to the curved surface area?
Answer:
C.
Does not change
15.
The length of side of a rhombus is 5 m and one of its diagonal is 8 m. Then what is the length of other diagonal?
Answer:
C.
6 m
16.
A, B and C can complete a piece of work in 24, 6 and 12 days respectively. If they work together, in how many days they will complete the same work?
Answer:
C.
24/7 days
17.
12 men complete the 2400 sq.m ploughing work in 10 days. How many men are required to complete 3600 sq.m ploughing work in 18 days?
Answer:
A.
10 men
18.
2 men and 7 boys can do a piece of work in 14 days, 3 men and 8 boys can do the same in 11 days. In how many days, 3 times the work can be completed by 8 men and 6 boys?
Answer:
A.
21 days
19.
The length, breadth and height of a hall are 8 m, 10 m, 4 m respectively and the hall has one door of area 3 m × 1.5 m. Find the cost of painting the walls at the rate of Rs. 200 per square metre.
Answer:
A.
Rs. 28,800
20.
If the capacity of a cylindrical tank is 1848 m\(^{3}\) and the diameter of its base is 14 m, then find the depth of the tank?
Answer:
A.
12 m
21.
The length of a chain used as the boundary of a semicircular park is 72 m. What is the area of the park?
Answer:
D.
308 m²
22.
Find the least number which when divided by 5, 6, 7 and 8 leaving a remainder 3, but when divided by 9 leaves no remainder.
Answer:
B.
1683
23.
Find the next number in the following series
\(4,\ 6,\ 9,\ 13\dfrac{1}{2}\)
\(4,\ 6,\ 9,\ 13\dfrac{1}{2}\)
Answer:
A.
\(20\dfrac{1}{4}\)
24.
What is the standard deviation of the first \(n\) natural numbers?
Answer:
A.
\(\sqrt{\dfrac{n^2-1}{12}}\)
25.
In the series
6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6
How many pairs of alternate numbers have a difference of 2?
6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6
How many pairs of alternate numbers have a difference of 2?
Answer:
A.
2