TNPSC Group 4 2014
Aptitude Questions 1 to 25
1.
From the fig, find the value of 'x'
A.
30°
B.
60°
C.
90°
D.
45°
Answer:
A.
30°
2.
Find the height of a parallelogram whose area is 300 cm² and base 15 cm is
A.
10 cm
B.
15 cm
C.
20 cm
D.
30 cm
Answer:
C.
20 cm
3.
Ram is 7 times as old as his daughter Nanthini. After 5 years he will be 5 times as old as his daughter. What are their present ages?
A.
5, 35
B.
6, 42
C.
9, 63
D.
10, 70
Answer:
D.
10, 70
4.
If \(\dfrac{a}{b} = \dfrac{4}{3}\) then the value of \(\dfrac{6a + 4b}{6a - 5b}\) is
A.
-1
B.
3
C.
4
D.
5
Answer:
C.
4
5.
Find the missing number in the place '?'
A.
10
B.
11
C.
13
D.
14
Answer:
D.
14
6.
Simplify
\(\sqrt{214 + \sqrt{112 + \sqrt{74 + \sqrt{49}}}}\)
\(\sqrt{214 + \sqrt{112 + \sqrt{74 + \sqrt{49}}}}\)
A.
15
B.
18
C.
25
D.
17
Answer:
A.
15
7.
Divide Rs. 700 among A, B, C so that A gets 2 times more than to B and B gets 2 times to C how much of amount they are getting?
A.
Rs. 100, Rs. 200, Rs. 400
B.
Rs. 200, Rs. 300, Rs. 200
C.
Rs. 300, Rs. 200, Rs. 200
D.
Rs. 400, Rs. 200, Rs. 100
Answer:
D.
Rs. 400, Rs. 200, Rs. 100
8.
A cone, hemisphere, and cylinder have equal bases. If the heights of the cone and a cylinder are equal and are same as the common radius then find the ratio of their respective volumes
A.
2 : 3 : 4
B.
1 : 2 : 3
C.
2 : 1 : 3
D.
3 : 2 : 5
Answer:
B.
1 : 2 : 3
9.
Using Identities \(x - y = -6;\; xy = 4;\), Find the value of \(x^3 - y^3\)
A.
-288
B.
-388
C.
-268
D.
-278
Answer:
A.
-288
10.
Two taps can fill a tank in 30 minutes and 40 minutes. Another tap can empty it in 24 min. If the tank is empty and all the three taps are kept open, in how much time the tank will be filled
A.
\(1\dfrac{1}{2}\) hours
B.
two hours
C.
one hour
D.
\(2\dfrac{1}{2}\) hours
Answer:
C.
one hour
11.
The radius of a wheel is 1.75. How many revolutions will it make in travelling 11 km?
A.
10
B.
100
C.
1000
D.
10000
Answer:
C.
1000
12.
Monthly expenditure of a person is shown in the figure. Find the amount has in his savings?
A.
Rs. 800
B.
Rs. 900
C.
Rs. 1,000
D.
Rs. 750
Answer:
D.
Rs. 750
13.
Find the missing number in the place "?"
A.
18
B.
19
C.
20
D.
21
Answer:
B.
19
14.
Number of prime numbers between 20 and 30
A.
1
B.
2
C.
3
D.
4
Answer:
B.
2
15.
If the area of the ΔABC is 68 sq. units and the vertices are A(6, 7), B(-4, 1) and C(a, -9) taken in order. Find the value of a.
A.
-2
B.
3
C.
5
D.
2
Answer:
D.
2
16.
If the mean of \(x,\; x + 2,\; x + 4,\; x + 6,\; x + 8\) is 20 then find the value of \(x\)
A.
32
B.
16
C.
8
D.
4
Answer:
B.
16
17.
By selling a car for Rs. 1,40,000 a man suffered a loss of 20%. What was the cost price of the car?
A.
Rs. 1,50,000
B.
Rs. 1,25,000
C.
Rs. 2,00,000
D.
Rs. 1,75,000
Answer:
D.
Rs. 1,75,000
18.
In the given figure, \(\angle B : \angle C = 2 : 3\). Find \(\angle B\)
A.
120°
B.
52°
C.
78°
D.
130°
Answer:
B.
52°
19.
Find the point of intersection of the straight line \(9x - y - 2 = 0\) and \(2x + y - 9 = 0\)
A.
(-1, 7)
B.
(7, 1)
C.
(1, 7)
D.
(-1, -7)
Answer:
C.
(1, 7)
20.
The cost of a dining table is Rs. 8,400. A wants to buy it in 10 instalments. His E.M.I. is Rs. 875. Find the rate of interest?
A.
3%
B.
5%
C.
8%
D.
10%
Answer:
B.
5%
21.
If \((x + m)(x + n) = x^2 + 6x + 5\) find \(m^2 + n^2\)
A.
25
B.
26
C.
27
D.
28
Answer:
B.
26
22.
Choose the best answer:
Two numbers differ by 5. If their product is 336, then the sum of two number is
Two numbers differ by 5. If their product is 336, then the sum of two number is
A.
21
B.
28
C.
37
D.
51
Answer:
C.
37
23.
Find the missing number.
A.
136
B.
156
C.
176
D.
189
Answer:
D.
189
24.
Find the simple interest and the amount due on Rs. 6,750 for 219 days at 10% per annum.
A.
205
B.
305
C.
405
D.
415
Answer:
C.
405
25.
Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is
A.
40
B.
80
C.
120
D.
200
Answer:
A.
40