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TNPSC G2 Previous Year Question Papers General Studies - 2017 Page: 4
35380.A ______ is often drawn as a guide, so that a frequency polygon can be drawn over the top.
Frequency
Histogram
Cumulative Frequency
Rectangle
35382.If 100 persons can finish a work in 7 days, how many persons can finish the same work 35 days?
20 persons
50 persons
30 persons
25 persons
Explanation:
100 persons can finish a work in=7 days
? persons can finish work in=35 days

$= \dfrac{100\times7}{35}$

$=20persons$

35384.What percent of an hour is 36 seconds?
6%
1%
10%
36%
Explanation:
1 min =60 sec
1 hour=$60 \times 60=3600seconds$
therefore,Percentage of hour in 36 seconds= $\dfrac{36}{3600}\times100$=1%
35386.$\left(\dfrac{x^{m}}{x^{n}}\right)^{m+n} \cdot\left(\dfrac{x^{n}}{x^{l}}\right)^{n+l}\cdot\left(\dfrac{x^{l}}{x^{n}}\right)^{l+m}$ = ....
1
-1
$x^{m+n+l}$
$\frac{1}{x^{m+n+l}}$
Explanation:

$\dfrac{x^{m^{2}}\times x^{mn}}{x^{nm}\times x^{n^{2}}}\times \dfrac{x^{n^{2}\times x^{ln}}}{x^{ln}\times x^{l^{2}}}\times \dfrac{x^{l^{2}}\times x^{lm} }{x^{lm}\times x^{m^{2}} }=1$

35388.If A=+, B=$\div$, C=x, and D= -, then what is the value of $\dfrac{1}{5}C2B\frac{1}{5}A\frac{1}{5}D\frac{1}{10}=? $
2.1
1.2
2.5
1.6
Explanation:

$Given question becomes,\dfrac{1}{5}\times2\div\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{10}=?$

$=[\dfrac{1}{5}\times2\times\dfrac{5}{1}]+[\dfrac{1}{5}-\dfrac{1}{10}]$

$=2+[\frac{2-1}{10}]$

$=2+\frac{1}{10}$

$=2+0.1$

$=2.1$

35390.The Value of : $\dfrac{x^{3}-1}{x+3}\div\dfrac{x^{3}+x+1}{3x+9}=?$
3x-1
3(x+1)
3(x-1)
3x + 2
Explanation:
By applying the formula,$(a^{3}-b^{3})=(a-b)(a^{2}+ab+b^{2})$

$\dfrac{(x-1)(x^{2}+x+1)}{x+3}\div \dfrac{x^{2}+x+1}{3(x+3)}$

For multiply the fraction will get reciprocal

$\dfrac{(x-1)(x^{2}+x+1)}{x+3}\times \dfrac{3(x+3)}{x^{2}+x+1}$

=3(x-1)

=3x-3
35392.What is the 85th term of the sequence x, x3/2, x2, x5/2,...?
x85/2
x45/2
x43
x44
Explanation:

$Geometric progression series$

$r=\dfrac{x^{\dfrac{3}{2}}}{x}=x^{\dfrac{1}{2}}$

$t_{n}=a\times r^{n-1}=l$

$x \times [x^{\dfrac{1}{2}}]^{85-1}=x\times x^{\dfrac{1}{2}\times84} $

$=x\times x^{42}$

$=x^{43}$

35394.The radius and the slant height of a cone are respectively "r" and "l". What is the volume of the cone?
$\dfrac{1}{3}\pi r^{2}\sqrt{l^{2} - r^{2}}$
$\dfrac{1}{3}\pi r^{2}\sqrt{l^{2} + r^{2}}$
πrl
πr(l+r)
Explanation:

$l^{2}=r^{2}+h^{2}$

$h^{2}=l^{2}-r^{2}$

$h=\sqrt{l^{2}-r^{2}}$

$V=\dfrac{1}{3}\pi r^{2}\sqrt{l^{2}-r^{2}}$

35396.What is the 21st term of the sequence 100, 95, 90, 85....?
10
20
0
5
Explanation:

Arithmetic Progresson series

$t_{n}=a+(n-1)d=l$

a=100, n=20, d=-5

$ t_{n}=(100)\times(20)\times(-5)$

=100-100

=0
35398.Simplify: $\dfrac{2x^{4}-162}{(x^{2}+9)(2x-6)}$
x2 - 9
x+3
x+6
x-6
Explanation:
$\frac{2x^4-162}{\left(x^2+9\right)\left(2x-6\right)}$
$=2x^4-162:\quad 2\left(x^4-81\right)$
$=\mathrm{Factor}\:2x-6:\quad 2\left(x-3\right)$
$=\frac{2\left(x^4-81\right)}{2\left(x-3\right)\left(x^2+9\right)}$
$\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1$
$\frac{x^4-81}{\left(x^2+9\right)\left(x-3\right)}$
$\:x^4-81:\quad \left(x+3\right)\left(x-3\right)\left(x^2+9\right)$
$x^4-81$
$x^4-9^2$
$\mathrm{Apply\:difference\:of\:squares\:rule:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$
$x^4-9^2=\left(x^2+9\right)\left(x^2-9\right)$
$=\left(x^2+9\right)\left(x^2-9\right)$
$\mathrm{Factor}\:x^2-9:\quad \left(x+3\right)\left(x-3\right)$
$=\left(x+3\right)\left(x-3\right)\left(x^2+9\right)$
$=\frac{\left(x+3\right)\left(x-3\right)\left(x^2+9\right)}{\left(x-3\right)\left(x^2+9\right)}$
$\mathrm{Cancel\:}\frac{\left(x+3\right)\left(x-3\right)\left(x^2+9\right)}{\left(x-3\right)\left(x^2+9\right)}:\quad x+3$
$\frac{\left(x+3\right)\left(x-3\right)\left(x^2+9\right)}{\left(x-3\right)\left(x^2+9\right)}$
$\mathrm{Cancel\:the\:common\:factor:}\:x-3$
$\frac{\left(x+3\right)\left(x^2+9\right)}{x^2+9}$
$\mathrm{Cancel\:the\:common\:factor:}\:x^2+9$
$=x+3$
35400.If the LCM of x and y is z, what is the H.C.F of x and y?
$\frac{xy}{z}$
$\frac{xz}{y}$
$\frac{yz}{x}$
xy
Explanation:

LCM*HCF=Product of two numbers

$Z \times HCF=X \times Y$

$HCF=\dfrac{X \times Y}{2}$

35402.The number of delegates who attended the first session of the Indian National Congress was
25
100
72
2000
35404.The revolutionary nationalist Nelakanda Brahmachari was born at
Thirunelveli
Madurai
Sirkali
Chennai
35406.Arrange the following in chrohological order:
l. Senkuttuvan
2. Emayavaramban
3. Kanaikal Irumporai
4. Kuttuvan Cheral
2, 1, 4, 3
4, 2, 3, 1
2, 1, 3, 4
3, 2, 4, 1
35408.In Chola kingdom the revenue department was called as
Perumtharam
Utan Kuttam
Puravuvari
Olai Nayagam
35410.Where the All India Muslim League was formed in 1906?
Mumbai
Uttar Pradesh
Chennai
Dhaka
35412.When Swadeshi day was celebrated in India?
27 May, 1932
28 May, 1932
29 May, 1932
30 May, 1932
35414.Who was the first ruler in the Chola-Chalukya line?
Raja Raja II
Vikrama chola
Kulothunga I
Adhi Rajendran
35416.The Vaikam Satyagraha arose in Kerala in the year
1918
1924
1913
1928
35418.Periyar incorporated the ideas of the justice party and formed a new party called
Dravida Kazhagam
Dravida Munnetra Kazhagam
Swantara party
Anna Dravida Munnetra Kazhagam
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