TNPSC Group 1 2019 Preliminary Examination
Aptitude Questions 26 to 50
26.
The Range of the first 10 prime numbers is
Answer:
D.
27
27.
The students of a class donated ₹ 4624 for Chief Minister's State Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class
Answer:
B.
68
28.
The average height of 10 students in a class was calculated as 150 cm. On verification it was found that one reading was wrongly recorded as 130 cm instead of 140 cm. Find the correct mean height.
Answer:
D.
151 cm
29.
What is Mean of all two digit Numbers?
Answer:
A.
54.5
30.
If \(ax^2-28x+49=0\) has equal roots. Then the value of a is
Answer:
D.
4
31.
Find the median of the data.
12, 14, 25, 23, 18, 17, 24, 20
12, 14, 25, 23, 18, 17, 24, 20
Answer:
D.
19
32.
In a two digit number, the digit in the unit place is twice of the digit in the tenth place. If the digits are reversed, the new number is 27 more than the given number. Find the number.
Answer:
B.
36
33.
The population of a village is 32,000. 40% of them are men. 25% of them are women and the rest are children. Find the number of men and children.
Answer:
B.
12800 men, 11200 children
34.
Find the greatest number of four digits exactly divisible by 15, 21 and 27.
Answer:
B.
9450
35.
The GCD and LCM of two polynomials are \(x+1\) and \(x^4-1\) respectively. If one of the polynomials is \(x^2+1\), find other one.
Answer:
B.
\((x+1)(x^2-1)\)
36.
Find the Highest Common Factor of \(4p^2q^3r,\ 8p^3q^2r^2,\ 16p^2q^4r^3\)
Answer:
B.
\(4p^2q^2r\)
37.
Simplify the following:
\(\dfrac{x^3}{x-2}+\dfrac{8}{2-x}\)
\(\dfrac{x^3}{x-2}+\dfrac{8}{2-x}\)
Answer:
B.
\(x^2+2x+4\)
38.
Simplify : \(\dfrac{m}{m+1}+\dfrac{1}{m+1}+\dfrac{1}{m^2-1}\)
Answer:
D.
\(\dfrac{m^2}{m-1}\)
39.
If \(3a+4b=22,\quad 8a-5b=-4\), then the value of \((a+b)^2\) = ?
Answer:
A.
36
40.
I have a box which has 3 green, 9 blue, 4 yellow, 8 orange coloured cubes in it.
(a) What is the ratio of orange to yellow cubes?
(b) What is the ratio of green to blue cubes?
(c) How many different ratios can be formed, when you compare each colour to any one of the other colours?
(a) What is the ratio of orange to yellow cubes?
(b) What is the ratio of green to blue cubes?
(c) How many different ratios can be formed, when you compare each colour to any one of the other colours?
Answer:
D.
(a) 2:1 (b) 1:3 (c) 12 ratios
41.
A troop has provisions for 276 soldiers for 20 days. How many soldiers leave the troop so that the provisions may last for 46 days.
Answer:
B.
156
42.
Using clay, a student made a right circular cone of height 48 cm and base radius 12 cm. Another student reshapes it in the form of sphere. Find the radius of the sphere.
Answer:
A.
12 cm
43.
The radius of a spherical balloon increases from 3 cm to 9 cm as air is being pumped into it. Find the ratio of volumes of the balloon in the two cases.
Answer:
C.
1:27
44.
If the circle with diameter 4 cm is inside of the circle with radius 10 cm. Then the Maximum possible distance between the centres is
Answer:
C.
8
45.
What is the half of the area of the triangle whose vertices are (1, 1), (3, 1), (1, 3)?
Answer:
A.
1
46.
A silver wire when bent in the form of a square encloses an area of 484 sqm. If the same wire is bent in the form of a circle, then find the diameter of the circle. (use \(\pi=\dfrac{22}{7}\))
Answer:
B.
28 m
47.
In how much time will a sum of ₹ 1600 amount to 1852.20 at 5% per annum compound interest
Answer:
B.
3 years
48.
If 123 represents "GOD", 456 represents "CAT", Then "DOG EAT EGG" may be represented by
Answer:
D.
321 756 711
49.
Find the number of 3 digit natural numbers which are divisible by 6
Answer:
B.
150
50.
What is the probability that a leap year selected at random will contain 53 Sundays?
Answer:
A.
\(\dfrac{2}{7}\)