Dear Readers, Important Aptitude Questions for Railway / SSC CGL Exam was given here with solutions, candidates those who are preparing for those exams can use this material.
1).A sailor
goes 12 km downstream in 48 minutes and returns in 1 hour 20 minutes. The speed
of the sailor in still water is :
a)
12
km / hr
b)
12.5
km / hr
c)
13
km / hr
d)
15
km / hr
2).If 24
carat gold is considered to be hundred
per cent pure gold, then the percentage of pure gold in 22 – carat gold is
a)
91
(3 / 4)
b)
91
(2 / 3)
c)
91
(1 / 3)
d)
90
(2 / 3)
3).If x + 1 /
x = 3, then the value of [ x3 + (1 / x) ] / ( x2 – x + 1)
is
a)
3
/ 2
b)
5
/ 2
c)
7
/ 2
d)
11
/ 2
4). [ { ( - 1
/ 2)2}-2]-1 is equal to
a)
1
/ 16
b)
16
c)
–
1 / 16
d)
-
16
5).The price
of sugar is increased by 25%. If a family wants to keep its expenses on sugar
unaltered, then the family will have to reduce the consumption of sugar by
a)
20%
b)
21%
c)
22%
d)
25%
6).A sum of
money amounts to Rs. 350 in 3 years and to Rs. 925 in 4 years at some rate of
sample interest. The sum is :
a)
Rs.
550
b)
Rs.
600
c)
Rs.
625
d)
Rs.
700
7).The sides
of a triangle are in the ratio 1 / 3 : 1 / 4 : 1 / 5 and its perimeter is 94
cm. The length of the emailest side of the triangle is
a)
18
cm
b)
22.5
cm
c)
24
cm
d)
27
cm
8).The
average of seven consecutive positive integers is 26. The smallest of these
integers is
a)
21
b)
23
c)
25
d)
26
9).Due to an
increase of 50% in the price of eggs, 4 eggs less are available for Rs. 24. The
present rate of eggs per dozen is
a)
Rs.
24
b)
Rs.
27
c)
Rs.
36
d)
Rs.
42
10). Next
number of the sequence 2, 9, 28, 65, 126, ___ is
a)
195
b)
199
c)
208
d)
217
Answers:
1). a) 2). b) 3). c) 4). a) 5).
a) 6). c) 7).
c) 8). b) 9).
a) 10). d)
Solution:
1). Speed
down stream = 12 / (48 / 60) km / hr
= (12 × 60) / 48 = 15 km / hr
Speed
upstream = 12 / (80 / 60) km / hr
= (12 × 60) / 80 = 9 km / hr
Speed
in still water = (15 + 9) / 2 = 12 km / hr
Answer: a)
2). Required
percentage = (22 / 24) × 100 = 91(2 /
3)%
Answer:
b)
3). x + (1 /
x) = 3
(x
+ 1 / x)2 = 9
x2
+ 1 / x2 + 2.x.(1 /x) = 9
x2
+ 1 / x2 + 2 = 9
x2
+ 1 / x2 = 9 – 2 = 7
Now
[x3
+ (1 / x) ] / [x2 – x +
1] = x (x2 + 1 / x2) / x (x – 1 + (1 / x)
=
(x2 + 1 / x2) / (x + (1 / x) – 1)
=
7 / (3 – 1) = 7 / 2
Answer:
c)
4). [ { ( - 1
/ 2)2}-2]-1 = ((1 / 4)-2)-1
= (1 / 4)2
= 1 / 16
Answer:
a)
5). Formula :
If
the price of a commodity increased by R%, then the reduction in concumption.
So
as not to increase the expenditure is [ R / (100 + R) × 100 ] %
Required
% reduction = 25 / (100 + 25) × 100
=
(25 / 125) × 100 = 20%
Answer:
a)
6). Simple
Interest for 1 year = 925 – 850 = 75
Simple
Interest for 3 years = 3 × 75 = Rs. 225
The
sum = 850 – 225
= Rs. 625
Answer:
c)
7). Let the
sides be (1 / 3)x, (1 / 4)x and (1 / 5)x
Perimeter
= 1 / 3x + 1 / 4x + 1 / 5x = 94
= (20x + 15x + 12x) / 60 = 94
= 47x / 60 = 94
x
= (94 × 60) / 47 = 120
Smallest
side = 1 / 5x
=120 / 5 = 24cm
Answer:
c)
8). Let the 7
consecutive integers be
x,
x+1, x+2, x+3, x+4, x+5, x+6,
Average
= (x + x+1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6) / 7 = 26
(7x
+ 21) / 7 = 26
7(x
+ 3) / 7 = 26
x
+ 3 = 26
x
= 26 – 3 = 23
Smallest
number = 23
Answer:
b)
9). Let the
price per egg = Rs. x
New
price = 150% of x
= 150x / 100 = 3x / 2
Now,
24 / x – 24 / (3x / 2) = 4
24
/ x [ 1 – 2 / 3] = 4
(24
/ x) × (1 / 3) = 4
x
= 24 / (4 × 3) = 2
rate
per dozen = 12 × 2 = Rs. 24
Answer:
a)
10). 13
+ 1 = 1 + 1 = 2
23
+ 1 = 8 + 1 = 9
33
+ 1 = 27 + 1 = 28
43
+ 1 = 64 + 1 = 65
53
+ 1 = 125 + 1 = 126
63
+ 1 = 216 + 1 = 217
Answer:
d)
