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.

**1).**The perimeter of a rectangle is 160m and the difference of two sides is 48 m. Find the side of a square whose area is equal to the area of this rectangle.

a)
32m

b)
8m

c)
4m

d)
16m

**2).**If the area of a triangle with base 12 cm is equal to the area of a square with side 12 cm. The altitude of the triangle will be

a)
12
cm

b)
24
cm

c)
18
cm

d)
36
cm

**3).**The equivalent single discount for two successive discounts of 15% and 10% is

a)
25%

b)
20%

c)
23.5%

d)
20.5%

**4).**Simplify

a)
1

b)
19
/ 43

c)
43
/ 19

d)
38
/ 43

**5).**

is equal to

a)
0

b)
1

c)
9
/ 20

d)
9
/ 10

**6).**18% of which number is equal to 12% of 75?

a)
50

b)
100

c)
2

d)
3
/ 2

**7).**The simple interest on a sum after 4 yr is 1 / 5 of the sum. The rate of interest per annum is

a)
4%

b)
5%

c)
6%

d)
8%

**8).**The present ratio of the ages of P and Q is 2 : 3. If the age of P is 12 yr less than the age of Q, what is the present age of Q in years?

a)
24

b)
30

c)
32

d)
36

**9).**The ratio between the present ages of A and B is 4 : 5. If difference between their present ages is 8 yr, what is sum of their present ages?

a)
32
yr

b)
40
yr

c)
68
yr

d)
None
of these

**10).**Find the value of

a)
12

b)
8

c)
4

d)
-4

__Answers__**:**

**1). a) 2). b) 3). c) 4). a) 5). a) 6). a) 7). b) 8). d) 9). d) 10). c)**

__Solution :__**1).**Let the length and breadth of rectangle are a and b respectively, According to the question,

2(a
+ b) = 160

a
+ b = 80 …
(i)

a
– b = 48 …(ii)

-----------------

2a = 128

a = 128 / 2 = 64 m

From
Eq(i), b = 80 – 64 = 16 m

Area
of rectangle = 64 x 16m

^{2}
(side)

^{2}= 64 x 16
Side
= 8 x 4 = 32 m

**Answer: a)**

**2).**Area of square = (12)

^{2}= 144cm

^{2}

Area
of triangle = (1 / 2) x Base x Height = 1 / 2 x 12 x Height

= 1 / 2 x 12 x Height = 144

Height = (144 x 2) / 12 = 24cm

**Answer: b)**

**3).**Equivalent discount = (15 + 10 – (15 x 10) / 100)% = 23.5%

**Answer: c)**

**Answer: a)**

**Answer: a)**

**6).**Let the number be x.

According
to the question,

x
× (18 / 100) = 75 × (12 / 100)

x
= (75 × 12) / 18 = 50

**Answer: a)**

**7).**Principal = Rs. 100

SI
= 100 × (1 / 5) = Rs. 20

Rate
= (20 × 100) / (100 × 4) = 5%

**Answer: b)**

**8).**Let the age of P and Q are 2x yr and 3x yr respectively

3x
– 2x = 12

x
= 12

Present
age of Q = 36 yr

**Answer: d)**

**9).**Let the present age of A and B are 4 x years and 5x years respectively

5x
– 4x = 8

x
= 8

Required
sum = 5x + 4x = 9 × 8 = 72 yr

**Answer: d)**

**10).**

**Answer: c)**

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