TNPSC Group 2 2018 Preliminary Examination
Aptitude Questions 1 to 25
1.
In how many years will a sum of 1,600 amount to 1,852.20 at 5% per annum compound interest?
A.
3
B.
4
C.
5
D.
6
Answer:
A.
3
2.
Simplify:
\(\left(-\dfrac{1}{3}\right)-\left\{1\div\left(\dfrac{2}{3}\times\dfrac{5}{7}\right)+8-\left[5-\overline{\dfrac{1}{2}-\dfrac{1}{4}}\right]\right\}\)
\(\left(-\dfrac{1}{3}\right)-\left\{1\div\left(\dfrac{2}{3}\times\dfrac{5}{7}\right)+8-\left[5-\overline{\dfrac{1}{2}-\dfrac{1}{4}}\right]\right\}\)
A.
\(2\dfrac{21}{60}\)
B.
\(-5\dfrac{41}{60}\)
C.
\(5\dfrac{41}{60}\)
D.
\(-2\dfrac{21}{60}\)
Answer:
B.
\(-5\dfrac{41}{60}\)
3.
Find the area of the iron sheet required to prepare a cone 24 cm high with base radius 7 cm
A.
704 cm\(^{2}\)
B.
702 cm\(^{2}\)
C.
700 cm\(^{2}\)
D.
668 cm\(^{2}\)
Answer:
A.
704 cm\(^{2}\)
4.
The sum of the series 31 + 33 + .... + 53 is
A.
729
B.
341
C.
504
D.
604
Answer:
C.
504
5.
Find the G.C.D. of \(a^{3}-1\) and \(a^{2}-1\)
A.
\(a^{2}-1\)
B.
\(a+1\)
C.
\(a^{3}-1\)
D.
\(a-1\)
Answer:
D.
\(a-1\)
6.
What percent is 5 grams of 1 Kg?
A.
5 %
B.
1 %
C.
0.5 %
D.
0.2 %
Answer:
C.
0.5 %
7.
The value of \(\dfrac{9^{2}\times18^{4}}{3^{16}}\) is
A.
\(\dfrac{2}{3}\)
B.
\(\dfrac{4}{9}\)
C.
\(\dfrac{16}{81}\)
D.
\(\dfrac{32}{243}\)
Answer:
C.
\(\dfrac{16}{81}\)
8.
The cube root of 0.027 is
A.
3
B.
0.003
C.
0.03
D.
0.3
Answer:
D.
0.3
9.
If \(\dfrac{a+b}{c}=\dfrac{b+c}{a}=\dfrac{c+a}{b}=k\), Then the value of \(k\) is
A.
\(0\)
B.
\(1\)
C.
\(2\)
D.
\(a+b+c\)
Answer:
C.
\(2\)
10.
The ratio of boys to girls in a class is 4:5. If the number of boys is 20, then the number of girls is
A.
15
B.
20
C.
25
D.
26
Answer:
C.
25
11.
Given the pie chart. Obtain the pass percentage of student who passed in 1st class.
A.
35%
B.
30%
C.
10%
D.
25%
Answer:
D.
25%
12.
At what rate of interest compound interest per annum will ₹ 640 amount to ₹ 774.40 in 2 years
A.
8%
B.
9%
C.
10%
D.
11%
Answer:
C.
10%
13.
A circus tent is cylindrical to a height of 3 m and conical above it. If the base radius is 52.5 m and slant height of the cone is 53 m, find the area of canvas required to make the tent.
A.
315 \(\pi\ \text{m}^{2}\)
B.
3097.5 \(\pi\ \text{m}^{2}\)
C.
2782.5 \(\pi\ \text{m}^{2}\)
D.
2997.5 \(\pi\ \text{m}^{2}\)
Answer:
B.
3097.5 \(\pi\ \text{m}^{2}\)
14.
Area of a square is \(\dfrac{1}{2}\) hectare. The diagonal of the square is
A.
\(250\) metres
B.
\(100\) metres
C.
\(50\sqrt{2}\) metres
D.
\(50\) metres
Answer:
B.
\(100\) metres
15.
The surface areas of two spheres are in the ratio 9 : 25. Then their volumes are in the ratio
A.
27 : 75
B.
27 : 125
C.
81 : 625
D.
729 : 15625
Answer:
B.
27 : 125
16.
Complete the series 1 ZA, 3 YB, 6 XC, 10 WD, ?
A.
14 VE
B.
15 UE
C.
12 VE
D.
15 VE
Answer:
D.
15 VE
17.
The product of two numbers is 1600 and their H.C.F. is 5, the L.C.M. of the number is
A.
320
B.
1605
C.
1595
D.
8000
Answer:
A.
320
18.
A man sells two wrist watches at Rs. 594 each. On one he gains 10% and on the other he loses 10%. Find his gain or loss percent on the whole
A.
Loss % = 90%
B.
Gain % = 5%
C.
Loss % = 1%
D.
Loss % = 7%
Answer:
C.
Loss % = 1%
19.
Simplify: \(\dfrac{(3^3)^{-2}\times(2^2)^{-3}}{(2^4)^{-2}\times3^{-4}\times4^{-2}}\)
A.
\(7\dfrac{1}{9}\)
B.
\(7\dfrac{1}{8}\)
C.
\(6\dfrac{2}{9}\)
D.
\(6\dfrac{3}{8}\)
Answer:
A.
\(7\dfrac{1}{9}\)
20.
The principal amount triples itself at 8% per annum over a certain time. Find the number of years.
A.
20 years
B.
25 years
C.
30 years
D.
35 years
Answer:
B.
25 years
21.
What number should be subtracted from each of the numbers 54, 71, 75 and 99 so that the remainders may be proportional?
A.
1
B.
2
C.
3
D.
6
Answer:
C.
3
22.
Six men working 10 hours a day can do a piece of work in 24 days. In how many days will 9 men working for 8 hours a day do the same work?
A.
10 days
B.
15 days
C.
20 days
D.
25 days
Answer:
C.
20 days
23.
A can finish a job in 20 days and B can complete it in 30 days. They work together and finish the job. If Rs. 600 is paid as wages, then the share of A and B
A.
240, 360
B.
300, 300
C.
360, 240
D.
400, 200
Answer:
C.
360, 240
24.
If the average of the values 18, 41, x, 36, 31, 24, 37, 35, 27, 36 is 31. Find the value of x.
A.
25
B.
24
C.
30
D.
26
Answer:
A.
25
25.
Find the difference between simple interest and compound interest for a sum of Rs.8,000 lent at 10% p.a. in 2 years.
A.
Rs.70
B.
Rs.80
C.
Rs.90
D.
Rs.100
Answer:
B.
Rs.80