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Q:

What is conversion operator ?

Answer

Class can have a public method for specific data type conversions.
for example:
class B
{
double value;
public B(int i )
operator double()
{
return value;
}
};
B BObject;
double i = BObject; // assigning object to variable i of type double.
now conversion operator gets called to assign the value.

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Subject: C++ Exam Prep: CAT , GATE
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Q:

On 24th Nov, 2007 Thursday falls. What day of the week was it on 10th Nov, 2006 ?

A) Wednesday	B) Tuesday
C) Friday	D) Thursday

Answer & Explanation Answer: A) Wednesday

Explanation:

The year 2006 is an ordinary year. So, it has 1 odd day.
So, the day on 24th Nov, 2007 will be 1 day beyond the day on 24th Nov, 2006.
But, 24th Nov, 2007 is Thursday.
24 - 10 = 14 days.
Therefore, 2 weeks ago it is same day.
Thus, 10th Nov, 2006 is one day before 10th Nov, 2007 i.e. it is Wednesday.

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Filed Under: Calendar
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Q:

The calendar for the year 2007 will be the same for the year ?

A) 2014	B) 2019
C) 2021	D) 2018

Answer & Explanation Answer: D) 2018

Explanation:

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017
Odd day : 1 2 1 1 1 2 1 1 1 2 1

Sum = 14 odd days => 0 odd days.
Calendar for the year 2018 will be the same as for the year 2007.

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Q:

How many days are there in k weeks k days ?

A) 8+k days	B) 7+1k days
C) 8k days	D) 7/k days

Answer & Explanation Answer: C) 8k days

Explanation:

As we know that a week has 7 days,

k weeks k days = (7k + k) days = 8k days.

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Q:

The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8,748, its purchase price was ?

A) Rs.14,000	B) Rs.12,000
C) Rs. 12,800	D) Rs. 15,000

Answer & Explanation Answer: B) Rs.12,000

Explanation:

We have P = 8748, R = -10 and n = 3
Therefore, the purchase price of the machine
= $\frac{P}{{(1 + \frac{R}{100})}^{n}}$ = $\frac{8748}{{(1 - \frac{10}{100})}^{3}}$
= 8748 x (100/90) x (100/90) x (100/90)
= 12,000.

Therefore, the purchase price of the machine was Rs. 12,000.

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Filed Under: Percentage
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Q:

In measuring the sides of a rectangle, one side is taken 20% in excess and the other 10% in deficit. Find the error per cent in area calculated from the measurement ?

A) 8% excess	B) 9% deficit
C) 12% excess	D) 11% deficit

Answer & Explanation Answer: A) 8% excess

Explanation:

Since Area of Rectangle = side1 x side2
Therefore, error% in area
= $x + y + \frac{x y}{100}$ %
= [20 - 10 + ( -10 x 20)/100]% or 8%
i.e. 8% excess.

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Q:

A number is increased by 20% and then decreased by 20%, the final value of the number is ?

A) increase by 2%	B) decrease by 3%
C) decrease by 4%	D) increase by 5%

Answer & Explanation Answer: C) decrease by 4%

Explanation:

Here, x = 20 and y = - 20
Therefore, the net % change in value
= $x + y + \frac{x y}{100}$ %
= $20 + (- 20) + \frac{20 \times - 20}{100}$ % or - 4%

Since the sign is negative, there is a decrease in value by 4%.

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Q:

The price of pulses has increased by 25%. The percentage of reduction that a family should effect in the use of pulses so as not to increase the expenditure on this account is ?

A) 16%	B) 20%
C) 84%	D) 72%

Answer & Explanation Answer: B) 20%

Explanation:

Reduction in consumption
= $\frac{P}{100 + P}$ X 100%
= $\frac{25}{100 + 25}$ X 100%
= 20%

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