angle Search

Q:

Find the number of triangles in the given figure.

A) 8	B) 10
C) 11	D) 12

Answer & Explanation Answer: B) 10

Explanation:

The simplest triangles are ABG, BCG, CGE, CDE, AGE and AEF i.e. 6 in number.

The triangles composed of two components each are ABE, ABC, BCE and ACE i.e. 4 in number.

There are 6 + 4 = 10 triangles in the figure.

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Filed Under: Analytical Reasoning

Q:

Find the number of triangles in the given figure?

A) 16	B) 22
C) 28	D) 32

Answer & Explanation Answer: C) 28

Explanation:

The simplest triangles are AFJ, FJK, FKB, BKG, JKG, JGC, HJC, HIJ, DIH, DEI, EIJ and AEJ i.e. 12 in number.

The triangles composed of two components each are JFB, FBG, BJG, JFG, DEJ, EJH, DJH and DEH i.e. 8 in number.

The triangles composed of three components each are AJB, JBC, DJC and ADJ i.e. 4 in number.

The triangles composed of six components each are DAB, ABC, BCD and ADC i.e. 4 in number.

Thus, there are 12 + 8 + 4 + 4 = 28 triangles in the figure.

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Filed Under: Analytical Reasoning

Q:

Find the number of triangles in the given figure?

A) 18	B) 20
C) 24	D) 27

Answer & Explanation Answer: C) 24

Explanation:

The simplest triangles are IJO, BCJ, CDK, KQL, MLQ, GFM, GHN and NIO i.e. 8 in number.

The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e.10 in number.

The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and GLC i.e. 6 in number.

Total number of triangles in the figure = 8 + 10 + 6 = 24.

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Filed Under: Analytical Reasoning

Q:

What is seismic zone extending at an angle of about 45 degrees from the base of an ocean trench, down through lithosphere to the asthenosphere known as

A) Appleton layer	B) Benioff zone
C) Conard discontinuity	D) Convergence zone

Answer & Explanation Answer: B) Benioff zone

Explanation:

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Filed Under: World Geography

Q:

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?

A) 10cm	B) 20cm
C) 30cm	D) 40cm

Answer & Explanation Answer: B) 20cm

Explanation:

Let the breadth of the given rectangle be x then length is 2x.
thus area of the given rect is $2 x^{2}$

after dec 5cm from length and inc 5cm breadth , new lenght becomes 2x-5 and breadth is x+5.thus new area =(2x-5)(x+5)= $2 x^{2} + 5 x - 25$

since new area is 75 units greater than original area thus
$2 x^{2} + 75 = 2 x + 5 x - 25$
5x=75+25
5x=100
therefore x=20
hence length of the rectangle is 40 cm.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is

A) 200m	B) 300m
C) 400m	D) 100m

Answer & Explanation Answer: A) 200m

Explanation:

Let the triangle and parallelogram have common base b,

let the Altitude of triangle is h1 and of parallelogram is h2(which is equal to 100 m), then

Area of triangle = $\frac{1}{2} \times b \times h 1$

Area of rectangle = b*h2

As per Given,

$\frac{1}{2} * b * h 1 = b * h 2$

$\frac{1}{2} * b * h 1 = b * 100$

h1=200

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?

A) 20 m	B) 30 m
C) 40 m	D) 50 m

Answer & Explanation Answer: A) 20 m

Explanation:

Let breadth=x meters. Then, Length = $\frac{115 x}{100}$ meters

Given that, $x \times \frac{115 x}{100} = 460$

=> x = 20

Breadth = 20

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

The length of the rectangle is 20% more than its breadth . what will be the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle?

A) 2:1	B) 5:6
C) 6:5	D) data is inadequate

Answer & Explanation Answer: C) 6:5

Explanation:

Required ratio = $\frac{6 x}{5} \times x \times (\frac{1}{x^{2}}) = 6 : 5$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

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