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Delhi Police Exam Numerical Ability Study Material

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Geometry

If the graphs of 3x - 5y = -8 and 3x + 5y =32 intersect at the point (p,q), then the value of p-q is

a) 3
b) 2
c) 1
d) 0

✔Answer

✔Solution

Correct Answer Is : 0

Solution Is :

If a,b and c are the sides of a triangle and a² + b² + c² = ab+bc+ca,thn the triangle is

a) Equilateral
b) Isoceles
c) Right angled
d) Obtuse angled

✔Answer

✔Solution

Correct Answer Is : Equilateral

Solution Is : A²+b²+c² = ab + bc + ca
This equal is only vlid when a=b=c otherwise not The refore when all sides are equal it is a equilaterals

In ∆ABC , ∟A = 30°,∟B = 60°.Find ∟c in circular measure

a) π°/6
b) π°/2
c) 2π°/3
d) 3π°/4

✔Answer

✔Solution

Correct Answer Is : π°/2

Solution Is :

An equation whose graph passes through the origin,out of the given equations 2X + 3Y=2 , 2X-3Y=3 , -2X+3Y=5 and 2X+3Y=0 is

a) 2X+3Y=2
b) 2X-3Y=3
c) FALSE
d) 2X+3Y=0

✔Answer

✔Solution

Correct Answer Is : 2X+3Y=0

Solution Is : Any equation through origin must satisfy the point (0,0) only equation 2x+3y = 0 satisfies the above point .

A unique circle can always be drawn through x number of given non-collinear points,then x must be

a) 1
b) 2
c) 3
d) 4

✔Answer

✔Solution

Correct Answer Is : 3

Solution Is : A unique circle can always be drawn from 3 non-collinear points.

If Triangle ABC is similar to Triangle DEF ,such that Angle A= 47° Angle E = 63°,then Angle C is equal to

a) 37°
b) 40°
c) 70°
d) 65°

✔Answer

✔Solution

Correct Answer Is : 70°

Solution Is :

Abcd is aquadrilateral inscribed in a circle with centre O.If Angle COD =120° and Angle BAC =30°, then Angle BCD is

a) 60°
b) 75°
c) 90°
d) 120°

✔Answer

✔Solution

Correct Answer Is : 90°

Solution Is :

ABCD is a trapezium whose side AD is parallel to BC,Diagonals AC and BD Intersect at o.if AO=3,CO=x-3,Bo=3x-19 and DO=x-5,the value (s) of x will be

a) 8,9
b) 7,6
c) 12,6
d) 7,10

✔Answer

✔Solution

Correct Answer Is : 8,9

Solution Is :

There are two temples ,one on each bank of a river just opposite to each other .one temple is 54 m high.From the top of this temple ,the angles of depression of the top and the foot of the other temple are 300 and 60 0 ,respectively .The height of the temple is

a) 18√3 m
b) 18m
c) 36m
d) 36√3 m

✔Answer

✔Solution

Correct Answer Is : 36m

Solution Is :

Thelength of the shadow of a vertical tower on level ground increases by 10 m when the altitude of the sun changes from 45o to 30o Then the height of the tower is

a) 10(√3+1)m
b) 5(√3+1)m
c) 10√3m
d) 5√3m

✔Answer

✔Solution

Correct Answer Is : 5(√3+1)m

Solution Is :

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Delhi Police Exam Numerical Ability Study Material

Geometry

If the graphs of 3x - 5y = -8 and 3x + 5y =32 intersect at the point (p,q), then the value of p-q is

Correct Answer Is : 0

Solution Is :

If a,b and c are the sides of a triangle and a2 + b2 + c2 = ab+bc+ca,thn the triangle is

Correct Answer Is : Equilateral

Solution Is : A2+b2+c2 = ab + bc + ca This equal is only vlid when a=b=c otherwise not The refore when all sides are equal it is a equilaterals

In ∆ABC , ∟A = 30°,∟B = 60°.Find ∟c in circular measure

Correct Answer Is : π°/2

Solution Is :

An equation whose graph passes through the origin,out of the given equations 2X + 3Y=2 , 2X-3Y=3 , -2X+3Y=5 and 2X+3Y=0 is

Correct Answer Is : 2X+3Y=0

Solution Is : Any equation through origin must satisfy the point (0,0) only equation 2x+3y = 0 satisfies the above point .

A unique circle can always be drawn through x number of given non-collinear points,then x must be

Correct Answer Is : 3

Solution Is : A unique circle can always be drawn from 3 non-collinear points.

If Triangle ABC is similar to Triangle DEF ,such that Angle A= 47° Angle E = 63°,then Angle C is equal to

Correct Answer Is : 70°

Solution Is :

Abcd is aquadrilateral inscribed in a circle with centre O.If Angle COD =120° and Angle BAC =30°, then Angle BCD is

Correct Answer Is : 90°

Solution Is :

ABCD is a trapezium whose side AD is parallel to BC,Diagonals AC and BD Intersect at o.if AO=3,CO=x-3,Bo=3x-19 and DO=x-5,the value (s) of x will be

Correct Answer Is : 8,9

Solution Is :

There are two temples ,one on each bank of a river just opposite to each other .one temple is 54 m high.From the top of this temple ,the angles of depression of the top and the foot of the other temple are 300 and 60 0 ,respectively .The height of the temple is

Correct Answer Is : 36m

Solution Is :

Thelength of the shadow of a vertical tower on level ground increases by 10 m when the altitude of the sun changes from 45o to 30o Then the height of the tower is

Correct Answer Is : 5(√3+1)m

Solution Is :

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If a,b and c are the sides of a triangle and a² + b² + c² = ab+bc+ca,thn the triangle is

Solution Is : A²+b²+c² = ab + bc + ca
This equal is only vlid when a=b=c otherwise not The refore when all sides are equal it is a equilaterals