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Q:

Consider the following statements:

1) The number of circles that can be drawn through three non-collinear points is infinity.

2) Angle formed in minor segment of a circle is acute.

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: D) Neither 1 nor 2

Explanation:

(1)

Only one circle can be drawn through 3 non collinear points

Angle in the minor segment is always obtuse

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

Q:

Given that the polynomial $(x^{2} + ax + b)$ leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0	B) 0 and 3
C) 3 and 0	D) 0 and any interger

Answer & Explanation Answer: D) 0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

If $3^{x} = 4^{y} = 12$ , then z is equal to

A) xy	B) x + y
C) xy/x+Y	D) 4x +3y

Answer & Explanation Answer: C) xy/x+Y

Explanation:

Taking log of all 3 we get

xln3 = yln4 =

zln12 = k

z = k/ln12 = k / ln(

3*4) = k/ln3 + ln4 = k / (k/x +k/y) = xy / (x+y)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
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- Epistemological idealists (such as Kant) might insist that the only things which can be directly known for certain are ideas.
Q- The approach to idealism by Western philosophers has been different to that of Eastern thinkers.
R- In much of Western thought (though not in such major Western thinkers as Plato and Hegel) the ideal relates to direct knowledge of
subjective mental ideas, or images.
S- It is then usually juxtaposed with realism in which the real is said to have absolute existence prior to and independent of our knowledge.

A) RQPS	B) PQSR
C) PRQS	D) QRSP

Answer & Explanation Answer: D) QRSP

Explanation:

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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- A sensitive mind easily absorbs the vibrations emanating from the thought of the people it associates with.
Q- We often say that a person is known by the company he keeps.
R- The violent can be made calm by exuding thought of love and compassion.
S- Visits to holy places are considered good because the good thoughts of the holy people gathered there and the ensuing vibrations definitely
affect one in a positive fashion.

A) RQPS	B) QRSP
C) PQRS	D) SRQP

Answer & Explanation Answer: A) RQPS

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'.
If she was marrying Mr. Gupta (1)/ she would have been (2)/ recognized as Mrs. Gupta. (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:

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 CEO only discussed (1)/ the new venture (2)/ with his manager. (3)/ No Error (4)

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: English
Exam Prep: Bank Exams

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