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Quantitative Aptitude- Practice set – For SSC/FCI/Rail

Quantitative Aptitude- Practice set – For SSC/FCI/Rail

 

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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