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Q:

The perimeter of a right-angled triangle is k times the shortest side. If the ratio of the other side to hypotenuse is 4 : 6, then what is the value of k?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: C) 4

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

Q:

A man who recently died left a sum of Rs. 3,90,000 to be divided among his wife, five sons and four daughters. He directed that each son should receive 3 times as much as each daughter receives and that each daughter receives and that each daughter should receive twice as much as their mother receives. What was the wife’s share?

A) Rs. 14,000	B) Rs. 12,000
C) Rs. 10,000	D) Rs. 9,000

Answer & Explanation Answer: C) Rs. 10,000

Explanation:

Let his wife get a share of Rs x

Each of the 4 daughters get = Rs 2x

Each of the 5 sons get = Rs 6x

So x + 4*2x + 5*6x = 390000

So 39x = 390000

X=10000 = wife’s share

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Filed Under: Partnership
Exam Prep: Bank Exams

Q:

In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects?

A) 77	B) 58
C) 48	D) 23

Answer & Explanation Answer: D) 23

Explanation:

No of students failed in English only = 52 –17 = 35

No of students failed in maths only = 42 –17 = 25

Total no of failed students in either of the subjects = 35+17+25 = 77

No of passed student in both subjects = 100 –77 = 23

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?

A) 3 hours	B) 3 hours 15 minutes
C) 3 hours 30 minutes	D) 3 hours 45 minutes

Answer & Explanation Answer: D) 3 hours 45 minutes

Explanation:

Let them take x hours working together

1/x = 1/10 + 1/6 = 8/30

X= 30/8 hours = 15/4 hours = 3 hours 45 minutes

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Filed Under: Time and Work
Exam Prep: Bank Exams

Q:

If (4a +7b) (4c-7d) = (4a -7b) (4c +7d, then which one of the following is correct ?

A) a/b = c/d	B) a/d = c/b
C) a/b = d/c	D) none

Answer & Explanation Answer: A) a/b = c/d

Explanation:

(4a+7b)(4c-7d) = (4a-7b)(4c+7d)

(4a+7b)/(4a-7b) = (4c+7d)/(4c-7d)

Using componendo and dividendo

(4a+7b)+(4a-7b) / (4a+7b)-(4a-7b)

= (4c+7d)+(4c-7d) / (4c+7d)-(4c-7d)

Or 8a/14b = 8c/14d

Or a/b = c/d

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Filed Under: Simplification
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 an article is sold at a gain of 6% instead of a loss of 6% the seller gets Rs. 6 more. What is the cost price of the article?

A) Rs. 18	B) Rs. 36
C) Rs. 42	D) Rs. 50

Answer & Explanation Answer: D) Rs. 50

Explanation:

Let CP be Rs x

Then

1.06x–0.94x = 6

So x = Rs 50

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Filed Under: Profit and Loss
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

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