TNPSC Group 4 2019
Aptitude Questions 1 to 25
1.
The average height of 12 students in a class was calculated as 152 cm. On verification it was found that one reading was wrongly recorded as 148 cm instead of 172 cm. Find the correct mean height
A.
150 cm
B.
156 cm
C.
158 cm
D.
154 cm
Answer:
D.
154 cm
2.
The difference of the squares of two positive numbers is 45. The square of the smaller number is four times the larger number. Find the numbers
A.
3 and 15
B.
9 and 5
C.
3 and 16
D.
9 and 6
Answer:
D.
9 and 6
3.
The radius of a cart wheel is 35 cm. How many revolution does it make in travelling a distance of 154 m
A.
70
B.
189
C.
119
D.
86
Answer:
A.
70
4.
Saran is 6 times as old as his son Sankar. After 4 years, he will be 4 times as old as his son. What are their present ages?
A.
30, 5
B.
36, 6
C.
48, 8
D.
24, 4
Answer:
B.
36, 6
5.
Express \(0.\overline{35}\) into fraction
A.
\(\dfrac{35}{99}\)
B.
\(\dfrac{35}{100}\)
C.
\(3\dfrac{5}{10}\)
D.
\(\dfrac{35}{1000}\)
Answer:
A.
\(\dfrac{35}{99}\)
6.
How many numbers are there between 200 and 300 which are exactly divisible by 6, 8 and 9?
A.
One
B.
Two
C.
Three
D.
Four
Answer:
B.
Two
7.
A can do a piece of work in 20 days and B can do it in 30 days. How long will they take to do the work together?
A.
10 days
B.
12 days
C.
11 days
D.
20 days
Answer:
B.
12 days
8.
If 14 compositors can compose 70 pages of a book in 5 hours, how many compositors will compose 100 pages of this book in 10 hours?
A.
12
B.
10
C.
8
D.
7
Answer:
B.
10
9.
Find the simple interest on ₹ 7,500 at 8% per annum per 1 year 6 months.
A.
₹ 600
B.
₹ 700
C.
₹ 800
D.
₹ 900
Answer:
D.
₹ 900
10.
Cricket player Dhoni's average in first 30 matches was 72 runs. After 31st match, his average raised as 73 runs. How many runs did he make in 31st match?
A.
100
B.
103
C.
74
D.
108
Answer:
B.
103
11.
Arrange in ascending order \(\dfrac{3}{4}, \dfrac{1}{2}, \dfrac{5}{8}\)
A.
\(\dfrac{1}{2}, \dfrac{5}{8}, \dfrac{3}{4}\)
B.
\(\dfrac{1}{2}, \dfrac{3}{4}, \dfrac{5}{8}\)
C.
\(\dfrac{3}{4}, \dfrac{5}{8}, \dfrac{1}{2}\)
D.
\(\dfrac{3}{4}, \dfrac{1}{2}, \dfrac{5}{8}\)
Answer:
A.
\(\dfrac{1}{2}, \dfrac{5}{8}, \dfrac{3}{4}\)
12.
In a T – 20 cricket match, Raju hit a “six” 10 times out of 50 balls he played. If a ball was selected at random. Find the probability that he would not have hit a “six”.
A.
\(\dfrac{1}{5}\)
B.
\(\dfrac{4}{5}\)
C.
\(\dfrac{6}{5}\)
D.
\(\dfrac{3}{5}\)
Answer:
B.
\(\dfrac{4}{5}\)
13.
The maximum temperature in a city on 7 days of a certain week was 34.8°C, 38.5°C, 33.4°C, 34.7°C, 35.8°C, 32.8°C, 34.3°C. Find the mean temperature for the week
A.
34.8°C
B.
34.9°C
C.
34.7°C
D.
35.2°C
Answer:
B.
34.9°C
14.
A group of 100 candidates have their average height 163.8 cm with coefficient of variation 3.2. What is the standard deviation of their heights?
A.
3.23
B.
4.91
C.
5.24
D.
6.38
Answer:
C.
5.24
15.
The present ages of Reena and Usha are 24 years and 36 years respectively what was the ratio between the ages of Usha and Reena, 8 years ago?
A.
7 : 4
B.
6 : 5
C.
2 : 3
D.
4 : 7
Answer:
A.
7 : 4
16.
Simplify \(\dfrac{(3^3)^{-2}\times(2^2)^{-3}}{(2^4)^{-2}\times 3^{-4}\times 4^{-2}}\)
A.
\(7\dfrac{2}{9}\)
B.
\(9\dfrac{2}{7}\)
C.
\(7\dfrac{1}{9}\)
D.
\(9\dfrac{1}{7}\)
Answer:
C.
\(7\dfrac{1}{9}\)
17.
The total surface area of cube is 384 m\(^{2}\). Find the side of the cube
A.
3 m
B.
8 m
C.
4 m
D.
6 m
Answer:
B.
8 m
18.
Find the LCM of \(3(a-1),\ 2(a-1)^2,\ (a^2-1)\)
A.
\((a+1)^2(a+1)\)
B.
\((a-1)^2(a+1)\)
C.
\(6(a-1)(a+1)^2\)
D.
\(6(a-1)^2(a+1)\)
Answer:
D.
\(6(a-1)^2(a+1)\)
19.
Find the cube root of \(1\dfrac{61}{64}\)
A.
\(\dfrac{5}{8}\)
B.
\(\dfrac{3}{7}\)
C.
\(\dfrac{5}{4}\)
D.
\(\dfrac{8}{5}\)
Answer:
C.
\(\dfrac{5}{4}\)
20.
The ratios of the respective heights and the respective radii of two cylinders are 1 : 2 and 2 : 1 respectively. Then their respective volumes are in the ratio.
A.
4 : 1
B.
1 : 4
C.
2 : 1
D.
1 : 2
Answer:
C.
2 : 1
21.
At what rate of interest a sum of money doubles itself in 10 years in simple interest?
A.
10%
B.
20%
C.
50%
D.
25%
Answer:
A.
10%
22.
In a Geometric progression \(t_2 = \dfrac{3}{5}\); \(t_3 = \dfrac{1}{5}\). Then the common ratio is
A.
\(\dfrac{1}{5}\)
B.
\(\dfrac{1}{3}\)
C.
\(1\)
D.
\(5\)
Answer:
B.
\(\dfrac{1}{3}\)
23.
If \(a_1 = -1\) then find \(a_2,\ a_3\) in \(a_n = \dfrac{a_{n-1}}{n+2},\ n>1\ \forall\ n \in \mathbb{N}\).
A.
\(\dfrac{1}{4},\ \dfrac{1}{20}\)
B.
\(\dfrac{-1}{4},\ \dfrac{1}{20}\)
C.
\(\dfrac{1}{4},\ \dfrac{-1}{20}\)
D.
\(\dfrac{-1}{4},\ \dfrac{-1}{20}\)
Answer:
D.
\(\dfrac{-1}{4},\ \dfrac{-1}{20}\)
24.
If \(1 + 2 + \cdots + n = K\) then \(1^3 + 2^3 + \cdots + n^3\) is equal to
A.
\(K^2\)
B.
\(K^3\)
C.
\(\dfrac{K(K+1)}{2}\)
D.
\((K+1)^3\)
Answer:
A.
\(K^2\)
25.
The common ratio of the G.P. \(a^{m-n},\ a^m,\ a^{m+n}\) is
A.
\(a^m\)
B.
\(a^{-m}\)
C.
\(a^n\)
D.
\(a^{-n}\)
Answer:
C.
\(a^n\)