TNPSC Group I Exam-Previous Year Question Paper-Subject wise Analysed Questions-Mental Ability-Part 6
6 2 3
1 5
2 0 5
3
2 4 4
a b a
b
133. The
mean of the Poisson distribution with parameter m is
137. In
the first gaudrant of xy plane if A,
represents the area x < 3, y < 3 and A2
represents the area x+y < 4, then
4p 12p
A) √5 B) √5
5p √8p
140. If i = √-1, 1+ i + i2 + i3
+ ……. to 20 terms is
141. If
q
is the angle between a and b, then sin q is
A) a x b B) a x b
(a) (b)
C) a.b D) (a x b)
dx
dx
C) d2y
+ y = 0 D) d2y - y = 0
dx2 dx2y
144. The
area of the ellipse x2 + y2 = 1 is
145. A factor of c b-x a is
146. If
u = log (x2 +
y2),
then ¶ 2u + ¶ 2u is
149. The
solution of d2 y - 9 dy = 0 is
x®0 tan 10x
126. A sum amounts to Rs. 1,352 in 2 year at 4%
compound interest. The sum is
A) Rs. 1,300 B) Rs. 1,200
C) Rs. 1,250 D) Rs. 1,260
Answer : (C)
127. The speed of a boat in still water is 15
km/hr and the speed of current is 3 km/hr. The distance travelled downstream in
12 minutes is
A) 3.6 km B) 2.4
km
C) 1.5 km D) 1.8
km
Answer : (A)
128. Gold is 19 times as heavy as water and
copper is 9 times as heavy as water. The ratio, in which the two metals should
be mixed, so that the mixture is 15 times as heavy as water, is
A) 1 : 2 B) 2 : 3
C) 3 : 3 D) 19 : 135
Answer : (C)
129. If e men and 4 boys can do a work in 8 days
while 4 men and 4 boys can do that work in 6 days, then 2 men and 4 boys will finish
it in
A) 10 days B) 12 days
C) 15 days D) 16 days
Answer : (B)
130. If same patterns of operations are followed
in all the three diagrams given below ,then the missing number is
6 2 3 1 5
2 0 5
3
132 248 ?
2 4 4
8 7 1
3 6 9
A B C
A) 320 B) 274
C) 262 D) 132
Answer : (C)
2000
131. The following is a straight line
|
a b a
b
A) x
y B) x
y
|
|
a b a
b
C) x
y D) x
y
Answer : (A)
132. What is the number base for sexagesimal
system?
A) 2 B) 10
C) 60 D) 100
Answer : (C)
133. The
mean of the Poisson distribution with parameter m is
A) m B) √m
C) 0 D) 1
Answer : (A)
134. If (1), (2)2,
1 are cube roots of unity what is the value of (1)5 +
(1) 7?
A) -1 B) 1
C) -2 D) 2
Answer : (A)
 |
|
|
|
135. sin x +
cos x ≤ 1. Which is the correct
statements about this inequality?
A) Never true B) Always true
C) True only
in the second quadrant
D) True only if x=0° or x = 90°
Answer : (D)
136. What is the binary equivalent of 10?
A) 1101 B) 1010
C) 1001 D) 1011
Answer : (B)
137. In
the first gaudrant of xy plane if A,
represents the area x < 3, y < 3 and A2
represents the area x+y < 4, then
A) A1
= A2 B) A1 > A2
C) A1
< A2 D) A1 + A2 =10
Answer : (C)
138. What is the area enclosed by the ellipse 4x2
+ 5y2 - 8x - 20y = 0?
4p 12p A) √5 B) √5 5p √8p C) 4 D) √5
Answer : (B)
139. In a normal distribution, the percentage of
items between m -
s
and
m +
s is
A) 68.26 B) 99.73
C) 31.74 D) 95.44
Answer : (A)
140. If i = √-1, 1+ i + i2 + i3
+ ……. to 20 terms is
A) 0 B) i
C) -i D) 10
Answer
: (B)
141. If
q
is the angle between a and b, then sin q isA) a x b B) a x b (a) (b)C) a.b D) (a x b)
(a),(b) a. b
Answer : (B)
142. If (1) is
a complex root of unity, then the value of
1 (1) (1)2
(1)2 1 (1) is
(1) (1)2 1
A) 0 B) (1)
C) (1)2 D) 1
Answer
: (A)
143. If y = sin x is a solution, then
A) dy + y = 0 B) dy - y = 0
dx
dx C) d2y
+ y = 0 D) d2y - y = 0 dx2 dx2y
Answer : (C)
144. The
area of the ellipse x2 + y2 = 1 is
a2 b2
A) pa2 b2 B) p(a2 + b2 )
C) pba D) p (a2 + b2 )
Answer : (C)
a-x c b
145. A factor of c b-x a is
b a c-x
A) x + a + b + c B) x - a -
b - c
C) a D) b
Answer : (B)
146. If
u = log (x2 +
y2),
then ¶ 2u + ¶ 2u is
¶x2 ¶y2
A) 2u B) u2
C) 0 D) 1
u
Answer : (C)
147. The latus rectum of the parabola y2 -
2y +4x - 1 = 0 is
A) 2 B) 1
C) - 4 D) 4
Answer : (D)
148. The vertex of a parabola is at (3, 4) and
the equation of its latus return
is y=5, then the coordinates
of focus are
A) (3,7) B) (3,5)
C) (5,5) D) (-3,5)
Answer : (C)
149. The
solution of d2 y - 9 dy = 0 is
dx2 dx
A) y = Ae3x + Be- 3x
B) y = A + Be- 9x
C) y = (Ax + B)e 9x
D) y = A + Be3x
Answer : (A)
150. What is Lt
sin5x ?
x®0 tan 10x
A) 0 B) 1
C) 1
D) 2
2
Answer : (C)
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