Mathmetics

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

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Q1.
The length of a rectangle is three-fifths of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is 132 cm. What is the area of the rectangle if the breadth of the rectangle is 8 cm ? 
1) 100.8 sq cm 2) 112.4 sq cm
3) 104.2 sq cm 4) Cannot be determined
5)None of these
Answer : 100.8 sq cm
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Q2.
The ratio of the adjacent angles of a parallelogram is 7 : 8. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? 
1) 136° 2) 156°
3) 168° 4) 208°
5) None of these
Answer : 168°
Explanation :
Sum of the adjacent angles of a parallelogram is 180°.
Smaller angle of the parallelogram = 7/15 × 180 = 84°
Second largest angle of the quadrilateral = 7/30 × 360 = 84°
Required sum = 84 + 84 = 168°
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Q3.
The ratio of the adjacent angles of a parallelogram is 7 : 8. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? 
1) 136° 2) 156°
3) 168° 4) 208°
5) None of these
Answer : 168°
Explanation :
Sum of the adjacent angles of a parallelogram is 180°.
Smaller angle of the parallelogram = 7/15 × 180 = 84°
Second largest angle of the quadrilateral = 7/30 × 360 = 84°
Required sum = 84 + 84 = 168°
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Q4.
The smallest side of a right-angled triangle is 8 cm less than the side of a square of perimeter 56 cm. The second largest side of the right-angled triangle is 4 cm less than the length of the rectangle of area 96 sq cm and breadth 8 cm. What is the largest side of the right-angled triangle ? 
1) 10 cm 2) 12 cm
3) 15 cm 4) 18 cm
5)None of these
Answer : 10 cm
Explanation :
Side of the square = 56/4 = 14 cm
smallest side of the triangle = 14 – 8 = 6 cm
Length of the rectangle = 96/ 8 = 12 cm
Second largest side of the triangle = 112 – 4 = 8 cm
So, Largest side of the triangle =  square root of 62 + 82  = 10 cm
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Q5.
The length of a rectangle is increased to 3/2 times of its length and breadth is reduced to 1/3rd of its breadth. What is the change in area ?
1) 1/3 2) 1/4
3) 1/2 4) No change
5)None of these
Answer : 1/2
Explanation :
Let the length and breadth of the rectangle be L and B respectively.
Area = L x B = LB


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Q6.
The ratio of angle of a triangle is 3 : 5 : 7. What is the difference between double the smallest angle and half of the largest angle (degree) ?
1) 25 2) 36
3) 38 4) 30
5)None of these
Answer : 36
Explanation :
The smallest angle = 3/15 x 180° = 36°
The largest angle =7/15 x 180° = 84°
So, (36 x 2) - (84/ 2) = 36 
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Q7.
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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Q8.
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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Q9.
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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Q10.
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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