Dear Readers, Important Aptitude Questions for Railway / SSC CGL,CHSL Exam was given here with solutions, candidates those who are preparing for those exams can use this material.

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**1).**Let N be the greatest number that will divide, 1305, 4665 and 6905 leaving the same remainder in each case. Then sum of the digits in N is

a)
4

b)
5

c)
6

d)
8

**2).**A man plants 5184 orange trees in his garden and arranges them, so that there are as many rows as there are orange trees in a row, How many rows are there in the garden?

a)
70

b)
72

c)
75

d)
81

**3).**1/10 of a rod is coloured red, 1/20 orange, 1/30 yellow, 1/40 green, 1/50 blue, 1/60 black and the rest is Violet. If the length of the violet portion of the rod is 12.08 metres, then the length of the rod is

a)
16 m

b)
18 m

c)
20 m

d)
30 m

**4).**The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is

a)
395

b)
380

c)
400

d)
425

**5).**The sum of the digits of the smallest number which, when multiplied by 1800, gives a perfect cube, is

a)
2

b)
3

c)
6

d)
8

**6).**The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible?

a)
1

b)
2

c)
3

d)
4

**7).**A person was asked to state his age in years. His reply was, “Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am. “What was the age of the person?

a)
24 years

b)
20 years

c)
32 years

d)
18 years

**8).**A two digit number is five times the sum of its digits. If 9 is added to the number, the digits interchange their positions. The sum of digits of the number is

a)
11

b)
9

c)
7

d)
6

**9).**A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm

^{3}then the weight of the (Take π = 22/7) pipe is

a)
3.696 kg

b)
3. 6 kg

c)
36 kg

d)
36. 9 kg

**10).**A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for ₨ 3200. With the help of C they completed the work in 3 days. How much is to be paid to C?

a)
₨ 375

b)
₨ 400

c)
₨ 600

d)
₨ 800

__Answers__**:**

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

__Solution:__**1).**N = H.C.F. of (4665 – 1305), (6905 – 4665) and (6905 – 1305)

= H.C.F. of 3360, 2240 and 560 = 1120

Required sum = 1+1+1+2+0 = 4

**Answer: a )**

**2).**No. of rows = √5184 = 72

**Answer: b)**

**3).**Violet portion of rod

=
1- (1/10+1/20+1/30+1/40+1/50+1/60)

=1-
1/10(60+30+20+15+12+10)/60)

=1
- 1/10 × 137/60 = 1 - 137/600 = 463/600

463/60=12.08

Length
of the rod= 12.08 × 600/463

=16
m

**Answer: a)**

**4).**Let one number = x

Another
number = 9375/x

Where
9375/x >x

According
to question

9375/x
× 1/x = 15 or, x

^{2 }= 9375/15 = 625
x
= √625 = 25

Other number = 9375/25=375

Required sum = 375 + 25 = 400

**Answer: c)**

**5).**1800 = 2×2×2×3×3×5×5

To
make it perfect cube it must be multiplied by 3 × 5 I.e . 15

Required
sum = 1+5=6

**Answer: c )**

**6).**Let the required number = 4a and 4b

4a+4b=36

Or,
a+b=9

Now, two co-primes with sum 9 are

(1,8) (2,7)

Number
with sum 36 and H.C.F. 4 are

(4×1,
4×8), (4×2,4×7)

The
number of such pairs is 2

**Answer: b )**

**7).**Let present age of the man = x yrs.

According
to question

(x+3)
×3-3(x-3)=x

Or,
3x+9-3x+9=x

x=18
yrs.

**Answer: d)**

**8).**Let the two-digit number = 10x +y According to question

10x
+y = 5(x+y)

Or,
10x + y= 5x +5y

Or,
5x-4y=0

And
10x+y+9=10y+x

Or,
10x+y+9-10y-x=0

Or,
9x-9y=-9

Or,
x-y=-1

Solving
equations (1) and (2), we get x

=4
and y=5.

Sum
of digits = 4+5=9

**Answer: b )**

**9).**Volume of pipe

=22/7×
(4)

^{2}×21-22/7× (3)^{2}×21
=66(4

^{2}-3^{2})= 66×7=463 cm^{2}
Weight
of the pipe = 462×8

=3696
gm

=3.696
kg

**Answer: a)**

**10).**A’s I day’s work=1/6

B’s
1 day’s work=1/8

(A+B+C)’s
1 day’s work=1/3

C’s
1 day’s work =1/3-(1/6+1/8)

=1/3-7/24=1/24

A:B:C=1/6:1/8:1/24=4:3:1

C’s
share = 3200 ×1/8= ₨ 400

**Answer: b)**