Dear Readers, Expected Aptitude questions for SSC/FCI/Rail was given here. Aspirants those Who are preparing for the examination can use this.

Quantitative Aptitude-Misc. Wise Questions-For SSC/FCI/Rail-Set-1

1)A man travels 400 km partly by train and partly by steamer . He spends 9 hours more time on steamer. If the velocity of the steamer is 30 km/hr and the velocity of train is 70 km/hr, how much distance does he cover by streamer ?

A)309 KM

B)371 KM

C)464 KM

D)556 KM

2)Raheen sells a machine for Rs 48 lakh at a loss . Had he sold it for Rs 60 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine .

A)58 LAKH

B)69.6 LAKH

C)42 LAKH

D)50 LAKH

3)If the number 583*437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

A)4

B)5

C)3

D)6

4)two numbers are 35 % & 50 % lesser than a third number . By how much percent is the second number to be enhanced to make it equal to the first number ?

A)23 %

B)15 %

C)20 %

D)30 %

5)A bank offer 15 % compound interest per half year. A customer deposits Rs 2400 each on 1 st January and 1 st July of a year. At the end of the year, the amount he would have gained by way of interest is

A)2268

B)1134

C)567

D)283

6)Find two number such that their mean proportion is 16 & third proportion is 1024 .

A)4 & 30

B)4 & 64

C)8 & 64

D)8 & 32

7)A cone of radius 3.5 cm and height 12 cm is completely filled with water . This water is emptied into an empty cylindrical vessel of radius 7 cm. what will be the height of water in the vessel ?

A)4 cm

B)5 cm

C)6 cm

D)1 cm

8)If the length of the side of an equilateral triangle is 8 cm , what is its area ?

A)32 sq cm

B)18 sq cm

C)16√3 sq cm

D)30 sq cm

9)A line passing through the origin perpendicularly cuts the line 3x-2y=6 at point M. Find two co-ordiantes of M

A)(18/13,12/13)

B)(18/13,-12/13)

C)-18/3,-12/3)

D)(-18/3,12/3)

10)Find the length of the arc whose central angle is 45˚ & radius of the circle is 28 cm

A)11 cm

B)33 cm

C)44 cm

D)22 cm

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Ans

1.A-309)

X/30- (400-X)/70=9

X=309 km

2.D-50)

60-X=5(X-48)

X=50 lakh

3.D-6)

4.D-30%)

5.B-1134)

6.B)

7-D-1 cm)

Volume of water in the cone =1/3*π*r*r*h

If the height of water in cylindrical vessel be H cm , then

π *R*R*H

According to questions

7 *7*H=3.5 *3.5*4

So H= 1 cm

8.C-16√3 CM)

Area of equilateral triangle = (√3/4) X side X side = (√3/4) X8 X8 = 16√3 sq cm

9.B)

Equation of a straight line perpendicular to 3x-2y=6 will be 2x +3y +c=0

It passes through point (0,0)

So 2 x0 +3 x0 +c=0

c=0

Required equation is 2x +3y=0

X= -3/2 y

Putting x=-3/2y in 3x-2y = 6,

We have

{3(-3)y}/2-2y=6

Y= -12/13

X=18/13

Co-ordinates of M = (18/13,-12/13)

10.D-22 cm)

θ=45˚=(45 * π/180) radian

θ=π/4 radian

θ=l/r

π/4=l/28

l=22 cm

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