TNPSC Group 4 2016
Aptitude Questions 1 to 26
1.
\(\left(-1\dfrac{2}{7}\right) + \left(-3\dfrac{5}{7}\right) + \left(6\dfrac{4}{7}\right)\) is ____________________ .
A.
\(\dfrac{3}{7}\)
B.
\(\dfrac{5}{7}\)
C.
\(\dfrac{11}{7}\)
D.
\(\dfrac{19}{7}\)
Answer:
C.
\(\dfrac{11}{7}\)
2.
The population of a city in the year 2014 is 1,80,000 and increases at a rate of 20% per year. Find the population of the city in the year 2016?
A.
2,40,000
B.
2,59,200
C.
2,55,000
D.
2,54,300
Answer:
B.
2,59,200
3.
3 - 25 here, which of the following number is suitable in -, so that the number will be a perfect square?
A.
1
B.
0
C.
4
D.
6
Answer:
B.
0
4.
The average mark of 10 children is 80 then their total mark is
A.
200
B.
300
C.
800
D.
400
Answer:
C.
800
5.
A man and woman are engaged in a work. A man can do a piece of work in 4 days and the woman can do in 12 days. Find how many days will they take to finish it together?
A.
6 days
B.
5 days
C.
4 days
D.
3 days
Answer:
D.
3 days
6.
Which of the following set of measurements will form a right angle triangle?
A.
\(6,\; 9,\; 12\)
B.
\(5,\; 8,\; 10\)
C.
\(5,\; 5,\; 5\sqrt{2}\)
D.
\(3,\; 4,\; 4\sqrt{2}\)
Answer:
C.
\(5,\; 5,\; 5\sqrt{2}\)
7.
The value of \(\sqrt{609+\sqrt{248+\sqrt{60+\sqrt{7+\sqrt{81}}}}}\)
A.
20
B.
25
C.
16
D.
9
Answer:
B.
25
8.
The price of a house is decreased from rupees fifteen lakhs to rupees twelve lakhs. The percentage of decrease is
A.
10%
B.
20%
C.
30%
D.
40%
Answer:
B.
20%
9.
If \(3(t - 3) = 5(2t + 1)\) then \(t = ?\)
A.
- 2
B.
2
C.
- 3
D.
3
Answer:
A.
- 2
10.
The value of \(\dfrac{1.75 \times 1.75 + 2 \times 1.75 \times 0.75 + 0.75 \times 0.75}{1.75 \times 1.75 - 0.75 \times 0.75}\)
A.
3.5
B.
6.25
C.
1
D.
2.5
Answer:
D.
2.5
11.
The value of \(16^3 + 7^3 - 23^3\) is
A.
-7728
B.
7028
C.
7728
D.
-7718
Answer:
A.
-7728
12.
Find the next term of 4 in the series is 1, 1, 2, 8, 3, 27, 4, ...
A.
31
B.
29
C.
16
D.
64
Answer:
D.
64
13.
Three angles of a triangle are \(x - 30^\circ,\; x - 45^\circ,\; x + 15^\circ\), find the value of \(x\).
A.
\(60^\circ\)
B.
\(40^\circ\)
C.
\(80^\circ\)
D.
\(100^\circ\)
Answer:
C.
\(80^\circ\)
14.
The difference between simple interest and compound interest for a sum of Rs. 12,000 lent at 10% per annum in 2 years, is
A.
Rs. 80
B.
Rs. 90
C.
Rs. 120
D.
Rs. 100
Answer:
C.
Rs. 120
15.
The base of a triangle is four times its height and its area is \(50\ \text{m}^2\). The length of the base is
A.
10 m
B.
15 m
C.
20 m
D.
25 m
Answer:
C.
20 m
16.
A can do a piece of work in 20 days and B can do it in 25 days. Both of them finished the work and earned Rs. 3,600. Then A's share is
A.
Rs. 1,600
B.
Rs. 2,000
C.
Rs. 3,000
D.
Rs. 3,100
Answer:
B.
Rs. 2,000
17.
If \(\left(\dfrac{7}{12}\right)^{-4} \times \left(\dfrac{7}{12}\right)^{3x} = \left(\dfrac{7}{12}\right)^5\) then the value of \(x\) is
A.
-1
B.
1
C.
2
D.
3
Answer:
D.
3
18.
If 22 men can build a wall of 110 meters in 10 days, the length of a similar wall built by 30 men in 6 days is
A.
100 m
B.
90 m
C.
80 m
D.
70 m
Answer:
B.
90 m
19.
If the ratio of length and breadth of a rectangle is 4 : 7. Find the length while its breadth is 77cm.
A.
22 cm
B.
33 cm
C.
44 cm
D.
55 cm
Answer:
C.
44 cm
20.
A room is 5 m 40 cm long and 4 m 50 cm broad. Its area is
A.
\(23.4\ \text{m}^2\)
B.
\(24.3\ \text{m}^2\)
C.
\(25\ \text{m}^2\)
D.
\(98.01\ \text{m}^2\)
Answer:
B.
\(24.3\ \text{m}^2\)
21.
Simplify
\(5\dfrac{1}{4} + 4\dfrac{3}{4} + 7\dfrac{5}{8} + 6\dfrac{7}{8} \div 11\dfrac{3}{4}\)
\(5\dfrac{1}{4} + 4\dfrac{3}{4} + 7\dfrac{5}{8} + 6\dfrac{7}{8} \div 11\dfrac{3}{4}\)
A.
\(\dfrac{98}{47}\)
B.
\(\dfrac{108}{49}\)
C.
\(\dfrac{98}{45}\)
D.
\(\dfrac{96}{47}\)
Answer:
A.
\(\dfrac{98}{47}\)
22.
Find the rate of interest at which, a sum of money becomes \(\dfrac{9}{4}\) times in 2 years
A.
\(69\dfrac{1}{2}\%\)
B.
\(67\dfrac{1}{2}\%\)
C.
\(62\dfrac{1}{2}\%\)
D.
\(61\dfrac{1}{2}\%\)
Answer:
C.
\(62\dfrac{1}{2}\%\)
23.
The breadth, height and volume of a cuboid are 10 cm, 11 cm and 3080 cm\(^{3}\) respectively. Find the length of the cuboid
A.
21 cm
B.
28 cm
C.
24 cm
D.
30 cm
Answer:
B.
28 cm
24.
A man bought an old bicycle for Rs. 1,500. He spends Rs. 500 on its repair and sells it for Rs. 1,800. Find the percentage of his loss.
A.
10%
B.
15%
C.
20%
D.
5%
Answer:
A.
10%
25.
Find the LCM of \(a^{3}b^{4},\ ab^{5},\ a^{2}b^{7}\).
A.
\(a^{7}b^{3}\)
B.
\(a^{3}b^{7}\)
C.
\(a^{2}b^{5}\)
D.
\(ab^{5}\)
Answer:
B.
\(a^{3}b^{7}\)