TNPSC Group 4 2018
Aptitude Questions 1 to 25
1.
The value of \(e^{0}\) is
A.
e
B.
1
C.
0
D.
∞
Answer:
B.
1
2.
How many solutions have a linear equation in one variable?
A.
Three solutions
B.
Unique solution
C.
Two solutions
D.
No solution
Answer:
B.
Unique solution
3.
The \(7^{\text{th}}\) term of the sequence \(0.12,\ 0.012,\ 0.0012,\ \ldots\) is
A.
\(1.2 \times 10^{6}\)
B.
\(1.2 \times 10^{-6}\)
C.
\(1.2 \times 10^{7}\)
D.
\(1.2 \times 10^{-7}\)
Answer:
D.
\(1.2 \times 10^{-7}\)
4.
Simplify:
\(\dfrac{9}{8} \div \dfrac{3}{5}\) - of \(\left(\dfrac{3}{4}+\dfrac{3}{5}\right)\)
\(\dfrac{9}{8} \div \dfrac{3}{5}\) - of \(\left(\dfrac{3}{4}+\dfrac{3}{5}\right)\)
A.
\(1\,\dfrac{11}{18}\)
B.
\(1\,\dfrac{5}{18}\)
C.
\(1\,\dfrac{13}{18}\)
D.
\(1\,\dfrac{7}{18}\)
Answer:
D.
\(1\,\dfrac{7}{18}\)
5.
A sum of money triples itself at 8% per annum over a certain time. The time taken is
A.
20 years
B.
22 years
C.
25 years
D.
30 years
Answer:
C.
25 years
6.
Find the correct relationship between G.C.D. and L.C.M.
I. G.C.D. = L.C.M.
II. G.C.D. ≤ L.C.M.
III. L.C.M. ≤ G.C.D.
IV. L.C.M. > G.C.D.
I. G.C.D. = L.C.M.
II. G.C.D. ≤ L.C.M.
III. L.C.M. ≤ G.C.D.
IV. L.C.M. > G.C.D.
A.
I
B.
II
C.
III
D.
IV
Answer:
D.
IV
7.
If \(p,\ q,\ r,\ s,\ t\) are in A.P, then the value of \(p - 4q + 6r - 4s + t\) is
A.
1
B.
2
C.
3
D.
0
Answer:
D.
0
8.
The G.C.D. and L.C.M. of 90, 150, 225 is
A.
15, 450
B.
450, 15
C.
90, 225
D.
225, 150
Answer:
A.
15, 450
9.
If \(y-\dfrac{1}{y}=6\) find the value of \(y^{3}-\dfrac{1}{y^{3}}\)
A.
216
B.
222
C.
234
D.
228
Answer:
C.
234
10.
Which of the following statement is false in a Parallelogram?
A.
The opposite sides are parallel
B.
The opposite angles and sides are equal
C.
The diagonals are equal
D.
The diagonals bisect each other
Answer:
C.
The diagonals are equal
11.
Reciprocal of 0 is __________
A.
0
B.
1
C.
∞
D.
no reciprocal
Answer:
D.
no reciprocal
12.
Which one of the following statemente is false?
A.
Among the common divisors of given numbers, the greatest divisor is the G.C.D.
B.
If the G.C.D. of any two numbers is 1 they are said to be prime numbers
C.
Among the common multiples of given numbers, the least is the L.C.M.
D.
The product of any two numbers is equal to the product of their G.C.D. and L.C.M.
Answer:
B.
If the G.C.D. of any two numbers is 1 they are said to be prime numbers
13.
If the product of four consecutive terms in G.P is 625. Find the first term.
A.
15
B.
25
C.
5
D.
35
Answer:
C.
5
14.
Gain or loss percent is always calculated on
A.
cost price
B.
selling price
C.
gain
D.
loss
Answer:
A.
cost price
15.
A student goes to his school from his house at a speed 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming the distance between his house and school is
A.
5 km
B.
5.5 km
C.
6 km
D.
6.5 km
Answer:
C.
6 km
16.
If \(x,\ 2x+2,\ 3x+3\) are in G.P, then \(11x,\ 22x+22,\ 33x+33\) form
A.
an A.P.
B.
a G.P.
C.
a constant sequence
D.
Neither A.P. nor a G.Р.
Answer:
B.
a G.P.
17.
The sum of three numbers is 264 if the first number be twice the second and third number be one-third of the first, then the second number is
A.
48
B.
72
C.
54
D.
64
Answer:
B.
72
18.
If \(1^{2}+2^{2}+3^{2}+\cdots+10^{2}=385\) then \(2^{2}+4^{2}+6^{2}+\cdots+20^{2}\) is
A.
770
B.
1150
C.
1540
D.
385 x 385
Answer:
C.
1540
19.
In the ratio \(x\%\) of \(y\) to \(y\%\) of \(x\), its fraction value is equals to
A.
\(\dfrac{1}{xy}\)
B.
\(xy\)
C.
\(\dfrac{x}{y}\)
D.
1
Answer:
D.
1
20.
Arun is now half as old as his father. Twelve years ago the father's age was three times as old as Arun. Now the present age of his father's age is
A.
24 years
B.
36 years
C.
48 years
D.
50 years
Answer:
C.
48 years
21.
If \(a,\ b,\ c\) are in A.P.,then \(3^{a},\ 3^{b},\ 3^{c}\) are in
A.
A.P.
B.
G.Р.
C.
A.P. and G.P.
D.
None of these
Answer:
B.
G.Р.
22.
If \(-1<r<1\), then the sum of infinite number of a geometric series is
A.
\(\dfrac{a(r^{n}-1)}{r-1}\)
B.
\(\dfrac{a(1-r^{n})}{1-r}\)
C.
\(\dfrac{a}{1-r}\)
D.
\(na\)
Answer:
C.
\(\dfrac{a}{1-r}\)
23.
The angle in a semi circle is a __________
A.
acute angle
B.
obtuse angle
C.
straight angle
D.
right angle
Answer:
D.
right angle
24.
If \(\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{c}{7}\) then \(\dfrac{a+b+c}{c}\) is
A.
\(7\)
B.
\(2\)
C.
\(\dfrac{1}{2}\)
D.
\(\dfrac{1}{7}\)
Answer:
B.
\(2\)
25.
Which is biggest ratio?
2:3, 3:5, 4:7, 5:8
2:3, 3:5, 4:7, 5:8
A.
3:5
B.
4:7
C.
5:8
D.
2:3
Answer:
D.
2:3