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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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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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Q:

Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ?

A) 92.8%	B) 84.23%
C) 87.14%	D) 94.1%

Answer & Explanation Answer: A) 92.8%

Explanation:

Here, x = 40 and y = 30;
Therefore second number
= [[ $\frac{100 + y}{100 + x}$ ] x 100 ]% of first number
= [[ $\frac{100 + y}{100 + x}$ ] x 100 ]% of first number
Second number = 92.8% of the first number.

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Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24%	B) 29%
C) 34%	D) 25%

Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = $\frac{k}{l}$ x100 % of second number = 7/28 x 100% of second number = 25% of second number.

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Q:

A batsman scored 180 runs which included 11 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?

A) 62.45%	B) 51.42%
C) 48.88%	D) 47.32%

Answer & Explanation Answer: C) 48.88%

Explanation:

Number of runs made by running = 180 - (11 x 4 + 8 x 6)
= 180 - (92)
= 88
Now, we need to calculate 88 is what percent of 180.
$\Rightarrow \frac{88}{180} \times 100$ = 48.888%.

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