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Q:

Consider the following statements:

1) The perimeter of a triangle is greater than the sum of its three medinas.

2) In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2AD.

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:
Let ABC be the triangle and D. E and F are midpoints of BC, CA and AB respectively.
Recall that the sum of two sides of a triangle is greater than twice the median bisecting the third side,(Theorem to be remembered)
Hence in ΔABD, AD is a median
AB + AC > 2(AD)
Similarly, we get
BC + AC > 2CF
BC + AB > 2BE
On adding the above inequations, we get
(AB + AC) + (BC + AC) + (BC + AB )> 2AD + 2CD + 2BE
2(AB + BC + AC) > 2(AD + BE + CF)
AB + BC + AC > AD + BE +CF
 
2.
To prove: AB + BC + CA > 2AD
Construction: AD is joined
Proof: In triangle ABD,
AB + BD > AD [because, the sum of any two sides of a triangle is always greater than the
third side]
----
1
In triangle ADC,
AC + DC > AD [because, the sum of any two
sides of a tri
angle is always greater than the
third side]
----
2
Adding 1 and 2 we get,
AB + BD + AC + DC > AD + AD
=> AB + (BD + DC) + AC > 2AD
=> AB + BC + AC > 2AD
Hence proved
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

There is no reason (that life may exist) P (in great profusion) Q (why we should not be willing to think) R (in other worlds) S

The correct sequence should be

A) R S P Q B) P Q S R
C) R P Q S D) R Q S P
 
Answer & Explanation Answer: C) R P Q S

Explanation:

Since, the sentence starts talking about the reason; R will be the continuing statement as it goes with the flow of the statement. The continuing statement talks about the existing of life i.e. P. Thus, all other options are eliminated. The correct formation would be, ‘There is no reason why we should not be willing to think that life may exist in great profusion in other worlds.’

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Filed Under: English
Exam Prep: Bank Exams

Q:

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.


P: It isn't bragging about how great you are.
Q: It's not about thinking you're perfect because nobody is but knowing that you're worthy of being love and accepted.
R: Self esteem is how much you value yourself and how important you think you are.
S: It's how you see yourself and feel about your achievements.

A) SQRP B) RQSP
C) RSPQ D) SRQP
 
Answer & Explanation Answer: C) RSPQ

Explanation:
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Filed Under: English
Exam Prep: Bank Exams

Q:

In the following items, each passage consists of six sentences. The first and the sixth sentence are given in the beginning as S1 and S6. The middle four sentences in each have been removed and jumbled up. These are labeled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet.

S1 :The boy felt his way up the creaking stairs through thick darkness.
S6:He was just telling himself he was safe when the door was flung open and the gaunt old man grabbed his shoulder.
P:All he had to do was just get past the central door on the landing.
Q:He stopped as the great clock below whined for a few seconds and gave out a single, solemn stroke.
R:His eyes were raised to the faint moonlight that shone above the landing.
S:He hesitated as the sound died down and then crept on, thinking that if they could sleep through that, they would sleep through any noise he could make.

The proper sequence should be 

A) P Q S R B) R Q S P
C) P R Q S D) R Q P S
 
Answer & Explanation Answer: D) R Q P S

Explanation:

The starting statement talked about how the boy managed to climb the stairs despite of thick darkness. So, the continuing statement would be talking about his landing and how his eyes were raised to moonlight. So, the next statement in continuation would be the statement R. This eliminates option (a) and (c). The next statement would be Q. The next statement would be talking about how he managed to pass through the central door and how he was getting afraid with the noise. So P follows Q and S would be the concluding statement. Thus, the correct sequence is RQPS.

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Filed Under: English
Exam Prep: Bank Exams

Q:

In the following items, each passage consists of six sentences. The first and the sixth sentence are given in the beginning as S1 and S6. The middle four sentences in each have been removed and jumbled up. These are labeled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet.

S1 :History shows that the growth of civilization depends upon the gifts of nature, particularly the wealth yielded by the soil.
S6:In fact, most of the wars in the beginning of humanity’s history were fought for the gain of territory.
P:The more land they had, the more they were satisfied.
Q:The nature and the quality of the land they possessed were of great importance to them.
R:All ancient communities worked hard to produce food.
S:There was also a great desire among them to possess as much land as possible.

The proper sequence should be

A) R Q S P B) Q R S P
C) S Q R P D) P R Q S
 
Answer & Explanation Answer: A) R Q S P

Explanation:

The sentence starts with the history showing how the growth of civilization depends upon nature. So the next sentence in sequence will be statement R as it shows how the ancient communities produced food. Also, all other option carries a pronoun. So, the preceding statement will have a noun. R being the next statement makes all other options invalid. Thus, the correct sequence is RQSP.

 

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Filed Under: English
Exam Prep: Bank Exams

Q:

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.
P- They never desert us even when all fair weather friends have deserted us.
Q- Books are never failing friends.
R- They dispel the dark clouds of gloom from our minds and increase our happiness if we are already happy.
S- Through the ages, the scriptures and other great books have provided, immeasurable solace to the wounded and strife torn humanity.

A) QRSP B) PRSQ
C) RSPQ D) QPRS
 
Answer & Explanation Answer: D) QPRS

Explanation:
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Filed Under: English
Exam Prep: Bank Exams

Q:

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No error'.
The student asked me if (1)/ I knew that Kalidas was the greater (2)/ than any other poet. (3)/ No Error (4)

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:
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Filed Under: English
Exam Prep: Bank Exams

Q:

BREXIT  refers  to  the  Great  Britain  leaving which one of the following?

A) International Monetary Fund B) Common wealth
C) World Trade Organization D) European Union
 
Answer & Explanation Answer: D) European Union

Explanation:

Brexit is the withdrawal of the United Kingdom from the European Union. In a referendum  on  23  June  2016, 51.9%    of    the    participating UK electorate voted  to  leave  the  EU, out of a turnout of 72.2%.

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Filed Under: General Awareness
Exam Prep: Bank Exams