TNPSC Group 1 2017 Preliminary Examination
Aptitude Questions 26 to 50
26.
The radii of two right circular cylinders are in the ratio 4:3 and their heights are in the ratio 7:4 then the ratio of their curved surface areas is in the ratio
Answer:
D.
7:3
27.
A wall is to be constructed with length 60 m, breadth 3 m and height 5 m. How many bricks are required to construct a wall with length 30 cm, breadth 15 cm and height 20 cm?
Answer:
C.
1,00,000
28.
The ratio of boys and girls in a class 4 : 5 if the number of boys is 24, find the number of girls
Answer:
D.
30
29.
In a certain code word ACEG is written as 16 and DFGH is written as 25 then how can be written HIKM
Answer:
B.
41
30.
If \(1^2+2^2+2^2=3^2\)
\(2^2+3^2+6^2=7^2\)
\(3^2+4^2+12^2=13^2\)
then \(6^2+7^2+42^2=?\)
\(2^2+3^2+6^2=7^2\)
\(3^2+4^2+12^2=13^2\)
then \(6^2+7^2+42^2=?\)
Answer:
C.
\(43^2\)
31.
A certain sum of money amounts to Rs. 20,160 in 5 years at 8% interest. Find the principal
Answer:
D.
Rs. 14,400
32.
How many prime numbers lies between 1 to 100
Answer:
B.
25
33.
The value of \(\sqrt[3]{\sqrt{0.015625}}\) is
Answer:
C.
0.5
34.
Median of 12, 17, 5, 8, 13, 6, 9 is
Answer:
B.
9
35.
Range and Range coefficient of the data -3, -2, -1, 0, 1, 2, 3 are respectively
Answer:
D.
6 and oo
36.
Find the unknown number?
20 13 07
30 08 22
40 ? 28
20 13 07
30 08 22
40 ? 28
Answer:
B.
12
37.
The diameter of a circle is 10 cm. "P" is the point lying outside the circle. From that point "P" two tangents are drawn to the circle. The length of each tangent is 12 cm. What is the distance between "P" and the centre of the circle.
Answer:
B.
13 cm
38.
Raju starts walking towards south. After walking 20 m he turns towards North and Walks 8 m. Again he turns towards East and walks 5 m. How far and in which direction is he from his starting point.
Answer:
D.
13 m, South-East
39.
The sides of 14 Square's are 11 cm, 12 cm, 13 cm, .......... 24 cm, then find the total area of 14 squares.
Answer:
B.
4515 cm²
40.
A Train travelled a certain distance at a uniform speed. If the train had been 7 km/hr faster, it would have taken 14 hours less than the scheduled time. If the train were slower by 3 km/hr then it would have taken 10 hours more than the scheduled time. Find the distance covered by the train.
Answer:
D.
900 Km
41.
Find the average of first '\(n\)' natural numbers
Answer:
C.
\(\dfrac{n+1}{2}\)
42.
A gardener wanted to reward a girl for her good deeds by giving some apples. He gave 2 apples on the first day, 4 on the second day, 8 on the third day, 16 apples on the fourth day and so on for ten days. How many apples did she get from the gardener at the end of the tenth day
Answer:
D.
2046
43.
Using the clay, Malar makes a cone, a hemisphere and a cylinder have equal bases and the heights of the cone and a cylinder are equal. They same as the common radius then find the ratio of their respective volumes
Answer:
A.
1 : 2 : 3
44.
Spherical metal ball of radius 6 cm is melted and casted into small spherical balls having diameter 6 mm. How many small balls can be casted
Answer:
A.
8000
45.
The radii of two circular ends of a frustum shaped bucket are 15 cm and 8 cm. If its depth is 63 cm, find the capacity of the bucket in litres (Take \((\pi=\dfrac{22}{7})\))
Answer:
B.
26.994 litres
46.
The present age of A and B are in the ratio 4 : 5 and after five years they will be in the ratio 5 : 6 then their sum of present age is
Answer:
B.
45 years
47.
If A and B can do a work in 6 days, B and C can do it in 12 days, C and A can do it in 4 days how many days it would take to finish the same work by all the three together?
Answer:
B.
4 days
48.
A and B can complete a work individually in 12 days and 18 days. They started doing the work together but after 4 days A had to leave and B alone completed the remaining work. The whole work was completed in
Answer:
C.
12 days
49.
A function \(f:[-7,6)\Rightarrow R\) is defined as follows
$f(x) = \begin{cases} x^2 + 2x + 1 & (-7 \le x < -5) \\ x + 5 & (-5 \le x \le 2) \\ x - 1 & (2 < x < 6) \end{cases}$
what is the value of \(\dfrac{4f(-3)-2f(4)}{f(-6)-4f(1)}\)
$f(x) = \begin{cases} x^2 + 2x + 1 & (-7 \le x < -5) \\ x + 5 & (-5 \le x \le 2) \\ x - 1 & (2 < x < 6) \end{cases}$
what is the value of \(\dfrac{4f(-3)-2f(4)}{f(-6)-4f(1)}\)
Answer:
C.
\(2\)
50.
Mala and Latha each had a number of bangles. Mala said to Latha "If you give me 4 of your bangles, my number will be thrice yours". Latha replied "If you give me 36, my number will be thrice yours". What is the total bangles together with them?
Answer:
B.
80