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Q:

Rohan borrowed a certain sum of money at simple interest. Rate of interest was 3% per annum for first 3 years, 4% per annum for next 5 years and 6% per annum for next 7 years. If he paid Rs 2059 as interest, then what is the sum borrowed (in Rs)?

A) 2400	B) 2500
C) 2900	D) 3100

Answer & Explanation Answer: C) 2900

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

Q:

What is the value of $2 + \sqrt{2 + \sqrt{2 + \sqrt{2}}} . . . . . . .$

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

Answer & Explanation Answer: D) 4

Explanation:

Let 2+√2+√2..... = t
2+√t = t
t - 2 = √t
t = 4

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Filed Under: Simplification
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:

In the following question, a sentence has been given in Active/Passive voice. Out of the four alternatives suggested, select the one

Karnataka grows coffee

A) Coffee is being grown in Karnataka.	B) Coffee grown in Karnataka.
C) Coffee is grown in Karnataka.	D) Let the coffee be grown in Karnataka.

Answer & Explanation Answer: C) Coffee is grown in Karnataka.

Explanation:

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Filed Under: English
Exam Prep: Bank Exams

Q:

What is the simplified value of $(\cos^{4} A - \sin^{4} A)$ ?

A) 0	B) 2 cos2 A
C) cos2A	D) 1

Answer & Explanation Answer: C) cos2A

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the simplified value of $\sec^{6} A - \tan^{6} A - 3 \sec^{2} A \tan^{2} A$ ?

A) -1	B) 0
C) 1	D) sec A tan A

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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