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Q:

Consider the following statements:

1) An isosceles trapezium is always cyclic.

2) Any cyclic parallelogram is a rectangle.

Which of the above statements is/are correct?

A) 1 only B) 2 only
C) Both 1 and 2 D) Neither 1 nor 2
 
Answer & Explanation Answer: C) Both 1 and 2

Explanation:

Since it is an isosceles trapezium

So angle C = angle D = x

let A = 180 –D = 180 –x (since AB is parallel to CD)

B = 180-x

A+C = 180 –x + x = 180 degrees (Property of cyclic quadrilateral)

ABCD is cyclic parallelogram with AB // CD and AD // BC

Considering angles A = C = y (Property of parallelogram) and B=D = x Also since it is cyclic A+C = B+D = 180 degrees

So x=y=90 degrees And also opposite sides are equal being a parallelogram

Thus ABCD is a rectangle

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 37767
Q:

Select the related word/letters/number from the given alternatives.

56 : 72 : : 90 : ?

A) 96 B) 97
C) 100 D) 110
 
Answer & Explanation Answer: D) 110

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 37742
Q:

Select the related word/letters/number from the given alternatives.

Haemoglobin : Blood : : Chlorophyll : ?

 

A) Leaf B) Animal
C) Human D) Oxygen
 
Answer & Explanation Answer: A) Leaf

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 37739
Q:

Select the related word/letters/number from the given alternatives.

36 : 12 : : 72 : ?

A) 20 B) 24
C) 17 D) 16
 
Answer & Explanation Answer: B) 24

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 37727
Q:

Select the related word/letters/number from the given alternatives.

 

JK : TV : : OP : ?

A) DF B) WV
C) ST D) QR
 
Answer & Explanation Answer: A) DF

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

1 37726
Q:

Select the related word from the given alternatives.

School : Teacher :: Court : ?

A) Lawyer B) Play
C) Tennis D) Justice
 
Answer & Explanation Answer: A) Lawyer

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 37725
Q:

Select the related word/letters/number from the given alternatives.

Maharashtra:India::Texas:?

A) Canada B) Mexico
C) Brazil D) USA
 
Answer & Explanation Answer: D) USA

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

1 37723
Q:

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ? 

A) 21 B) 22
C) 23 D) 24
 
Answer & Explanation Answer: C) 23

Explanation:

Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages.

Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3

Hindi - Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 12

Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5

Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20

Number of persons who can speak two languages = 2

Number of person who an speak all the languages = 1

Total number of persons = 23.

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Filed Under: Logical Venn Diagram
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

160 37721