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Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q11.
What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm ?
1) 344.35 cm2 2) 462 cm2
3) 498.35 cm2 4) 456cm2
5)None of these
Answer : 498.35 cm2
Explanation :
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Q12.
The sides of a triangle are in the ratio 1/3:1/4:1/5 and its perimeter is 94cm. What is the length of the smallest side of the triangle ?
1) 18.8 cm 2) 23.5 cm
3) 24 cm 4) 31.3cm
5)None of these
Answer : 24 cm
Explanation :
The final ratio of the triangle are 20 : 15 : 12
Perimeter = 20x + 15x + 12x = 47 x 
So, 47x = 94 
or = x = 2
Thus smallest side = 122 = 24 cm.
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Q13.
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle ?
1) 16 cm 2) 18 cm
3) 24 cm 4) Data Inadequate
5)None of these
Answer : 18 cm
Explanation :
2(l + b) /b = 5/1 or 2l + 2b = 5b
or  3b = 2l   b =2l/3 
Then, Area = 216 cm2
l x b = 216
l x2l/3  = 216 or l= 324
or l = 18 cm.
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Q14.
The area of a rectangular field is 460 sq. mtrs. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?
1) 15 mtrs 2) 26 mtrs
3) 25 mtrs 4) 20 mtrs
5)None of these
Answer : 20 mtrs
Explanation :
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Q15.
The perimeter of a rectangular field is 480 meters and the ratio between its length and breadth is 5 : 3. What will be it's  area ?
1) 132 sq.m 2) 155 sq. m
3) 135 ares 4) 155 ares
5)None of these
Answer : 135 ares
Explanation :
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Q16.
A rectangular carpet has an area of 60m2. Its diagonal and longer side together equal to five times the shorter side. What is the length of the carpet ? 
1) 5m 2) 12m
3) 15m 4) 24m
5)None of these
Answer : 12m
Explanation : Given, lb = 60 m2
and d2 = l2 + b2      and d + l = 5b
or d = 5b - l
So, d2 = 25b2 + l2 - 10bl
or l2 + b2 = 25 b2 + l2 - 10 x 60
or 24 b2 = 600 
or b = 5
Therefore, l = 60/5 = 12 m
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Q17.
The length of a rectangular plot of land is three times as much as its breadth. A playground measuring 1200 sq. ft. occupies one-forth of the total area of the plot.What is the length of the plot ?
1) 40 2) 120
3) 360 4) Data Inadequate
5)None of these
Answer : 120
Explanation : Let, the length of and breadth of the rectangular plot of land  be 3x and x respectively.
Total area of the plot  = 4  x 1200 = 1200 sq. ft.
So, 3x x = 4800
or 3x2 = 4800
or x = 40 ft.
Therefore length =  3 x 40 =120 ft.
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Q18.
With the help of a wire a square is made of area 225m2. If an equilateral is made with the same wire then what would be the length of the side of the triangle?
1) 15 m 2) 17.5 m
3) 24 m 4) 20 m
5)None of these
Answer : 20 m
Explanation :
The area of a square is  225 m2.
Sides of the square is = 15 m.
So, perimeter = 15 X 4 = 60 mts.
Given that perimeter of the equilateral triangle is also equal
3x = 60 
or x = 60/3 = 20 mtrs 
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Q19.
If the area of a triangle in which base x is equal to the area of a square with side x, then what is the altitude of the triangle ?
1) x/2 2) x
3) 2x 4) 3x
5)None of these
Answer : 2x
Explanation :
Area of a square is x2.
Area of the triangle is ½ x.
Let, the altitude be h.
x2 = ½ xh ½ h = x  h = 2x.
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Q20.
The length of a rectangle is 4mtrs more than the side of a square and the breadth of the rectangle is 4mtrs less than the same square. If the area of the square is 567m2, what is the area of the rectangle ?       SBI PO(Prelm.) -2015
1) 549m2 2) 545m2
3) 557m2 4) 559m2
5)None of these
Answer : None of these
Explanation : Given area = 567m2 . So, each side = 23.81m
Length = 23.81 + 4 = 27.81m
Breadth of the rectangle = 23.81 - 4 = 19.81m
Thus, area of the 27.81 x 19.81 = 550.91 = 551 m
 
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