Dear Readers, Important Aptitude Questions for RRB/SSC/FCI Exam was given here with solutions, candidates those who are preparing for those exams can use this material.
∠BAC = 80∘
1).The
angles of a triangle are (x + 5)∘ , (2x - 3)∘ , and (3x +
4)∘ . The value of x is
a)
30
b)
31
c)
29
d)
28
2).The
sum of the square of two positive numbers is 100 and difference of their square
is 28, the sum of the number is
a)
12
b)
13
c)
14
d)
15
3).Internal
bisectors of ∠B and ∠C of a ∆ABC meet at 0. If ∠BAC = 80∘, then the
value of ∠BOC is
a)
120∘
b)
140∘
c)
110∘
d)
130∘
4).Two
numbers are in the ratio 5 : 7. On diminishing each of them by 40, they became
in the ratio 17 : 27. The difference of the number is
a)
18
b)
52
c)
137
d)
50
5).If
a regular polygon has each of its angles equal to 3 / 5 times of two right
angles, then the number of sides is
a)
3
b)
5
c)
6
d)
8
6).The
difference between the simple interest and the compound interest (compound
annually) at the rate of 12% per annum on Rs. 5000 for 2 yr will be
a)
Rs. 17.50
b)
Rs. 36
c)
Rs. 45
d)
Rs. 72
7).If
the compound interest on a certain sum for 2 consecutive years is Rs.220 and
Rs. 242 , then the rate of interest per annum is
a)
8%
b)
10%
c)
11%
d)
12%
8).The
height of a wall is six times its width and the length of the wall is seven
times its height. If volume of the wall be 16128 cu m, its width is
a)
5m
b)
4m
c)
4.5m
d)
6m
9).A
and B can do a piece of work in 8 days , B and C can do the same work in 12
days. If A, B and C can complete the same work in 6 days, in how many days can
A and C complete the same work?
a)
8
b)
10
c)
12
d)
16
10).What
least number should be subtracted from 26492518, so that the resulting number
is divisible by 3 but not by 9?
a)
1
b)
3
c)
4
d)
7
Answers:
1).
c) 2). c) 3).
d) 4). d) 5).
b) 6). d) 7).
b) 8). b) 9).
a) 10). c)
Solution:
1).
Sum of angles of a triangle = 180∘
x + 5 + 2x – 3 + 3x + 4 = 180∘
6x + 6 = 180∘
6x = 180∘ -
6 = 174∘
x = 174 / 6 = 29
Answer: c)
2).
Let first number = x
And second number = y
According to the question,
x2
+ y2 = 100
x2
- y2 = 28
On solving Eqs (i) and (ii) we get
x2 = 64 and y2 = 36
x = 8 and y = 6
Answer: c)
3).
∠B + ∠C = 180∘ - 80∘ =
100∘
(∠B /
2) + (∠C / 2) = 50∘
∠OBC + ∠OCB = 50∘
∠BOC = 180∘ - 50∘ = 130∘
Shortcut
∠BOC = 90∘ + (∠A / 2) = 90∘ + (80∘ / 2) = 90∘
+ 40∘ = 130∘
Answer: d)
4).
Let the numbers are 5x and 7x.
According to the question,
(5x – 40) / (7x – 40) = 17 / 27
135x – 1080 = 119x – 680
16x = 400
x = 25
The difference between the numbers = 7x – 5x =
2x
= 2 × 25 = 50
Answer: d)
5).
Each interior angle of a regular polygon = 180∘ × (3 / 5) = 180∘
Each interior angle of a regular polygon of n
sides
=
[ (2n – 4) / n ] × 90∘
[
(2n – 4) / n ] × 90∘ = 180∘
[
(2n – 4) / n ] × 10 = 12
20n
– 40 = 12n
20n
– 12n = 40
8n
= 40
n
= 5
Answer: b)
6).
We know that the difference between the SI and CI at the rate of r% per annum
on Rs P for 2 yr will be P(r / 100)2
Here, r
= 12% and
P = Rs. 5000
Required Difference = 5000 (12 / 100)2
= 5000 × 0.144 = Rs. 72
Answer: d)
7).
Let the principal = Rs. P
And interest = r%
According to the question,
Interest for a year is Rs.220 and interest for
a consecutive year is Rs. 242.
Interest on Rs. 220 is Rs. (242 – 200) = Rs.
22
22 = (220 × 1 × r) / 100
r = 2200 / 220 = 10%
Answer: b)
8).
Let
the width of a wall = xm
The height of a wall = 6x m, and length of a
wall = 42x m
Volume of a wall = 42x × 6x × x
x3
= 16128 / (42 × 6)
x3
= 64
x
= 4
The width of the wall = 4m
Answer: b)
9).
Number of days taken by A and B to do
the work = 8
Number of
days taken by B and C to do the work = 12
A’s and
B’s 1 day work = 1 / 8
B’s and C’s 1 day work = 1 / 12
Number of days taken by A’s , B’s and C’s to
do the work = 6
A’s , B’s and C’s 1 day work = 1 / 6
B’s 1 day work = (1 / 8) + (1 / 12) – (1 / 6)
= 1 / 24
A’s and C’s 1 day work = (1 / 6) – (1 / 24) =
3 / 24 = 1 / 8
Answer: a)
10).
Sum of all the digits in the number 26492518
=
2 + 6 + 4 + 9 + 2 + 5 + 1 + 8 = 37
Obviously 4 is the least number which should
be subtracted from the number 26492518, So, that the resulting number is
divisible by 3 but not by 9
Answer: c)
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