496 .
The value of (5 $tan^ 2$ 60° - $3\over 2$ $sin^ 2$ 30° - $1\over 2$ $cos^ 2$ 45° + $3\over 2$ $cot^ 2$ 45° ) is -
A.  23
B.  42
C.  $127 \over 8$
D.  $8\over 73$
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497 .
If ax+ by= 6 ,bx- ay= 7 and $x^ 2$ + $y^ 2$ = 5, then the value of $a^ 2$ + $b^ 2 $ is -
A.  15
B.  17
C.  16
D.  18
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498 .
An exterior angle of a regular polygon is 90° , then find the number of sides of the polygon
A.  4
B.  5
C.  6
D.  7
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499 .
The length and breadth of a rectangle are 20 m and 15 m respectively. If length is increased by 20% and the breadth by 30%, the percentage increase in its area is -
A.  50%
B.  44%
C.  54%
D.  56%
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500 .
An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square ?
A.  $\sqrt 3$ : 2
B.  2 : $\sqrt 3$
C.  $\sqrt 3$ : 4
D.  4 : $\sqrt 3$
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501 .
In the given figure, ABC is a right angled M triangle in which B is right angle. Three semi-circles are drawn on diameter AB, BC and CA. The area of traingle ABC is 37 sq. unit, then the area of shaded portion is -

image
A.  24 sq. unit
B.  37 sq. unit
C.  18.5 sq. unit
D.  74 sq. unit
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502 .
In the given figure, AB is a diameter of circle and CD is perpendicular to AB, if AB = 10 cm and AE = 2 cm, then find the length of ED ?

image
A.  5 cm
B.  $\sqrt {20}$ cm
C.  $\sqrt {10}$ cm
D.  4 cm
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503 .
Some small spheres of radius 1.4 cm are dropped in a cylindrical vessel which contains some water. There small spheres are fully immersed in water. If the radius of the vessel be 28 cm and water rises by 3.5 cm, then how many small spheres were dropped into the vessel ?
A.  600
B.  500
C.  750
D.  900
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504 .
Find the value of $\sqrt[3]{0.001728 \over 0.005832}$ is ----
A.  $1\over 3$
B.  $2\over 3$
C.  $7\over 4$
D.  $2\over 7$
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505 .
What will be the remainder when ($8^{17}$ + 5) is divided by 7 ?
A.  2
B.  5
C.  1
D.  6
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506 .
From each of the two given numbers, one third of smaller is subtracted. After such subtraction, the larger number is 6 times the smaller number. What is the ratio of the numbers?
A.  3 : 15
B.  14 : 3
C.  13 : 3
D.  3 : 11
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507 . Read the pie-chart given below and answer the questions. Expenditure of a family on various items and savings during 2013.

image
The percentage of income spent on food is -
A.  13 %
B.  11 %
C.  18 %
D.  16 %
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508 . Read the pie-chart given below and answer the questions. Expenditure of a family on various items and savings during 2013.

image
The percent of income spent on clothing is more than that on savings by___
A.  14 %
B.  5 %
C.  8 %
D.  9 %
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509 . Read the pie-chart given below and answer the questions. Expenditure of a family on various items and savings during 2013.

image
The savings of the family is more than that of expenditure on -
A.  Transport
B.  Clothing
C.  Housing
D.  Others
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510 . Read the pie-chart given below and answer the questions. Expenditure of a family on various items and savings during 2013.

image
The total expense of the family on transport is equal to those spent on -
A.  Savings
B.  Food
C.  Housing
D.  Others
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