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Q:

Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?

A) 3 days	B) 2 days
C) 6 days	D) 12 days

Answer & Explanation Answer: C) 6 days

Explanation:

From the given data,

12 children 16 days work,
One child’s one day work = 1/192.

8 adults 12 days work,
One adult’s one day’s work = 1/96.

Work done in 3 days = ((1/96) x 16 x 3) = 1/2

Remaining work = 1 – 1/2 = 1/2

(6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12

1/12 work is done by them in 1 day.

1/2 work is done by them in 12 x (1/2) = 6 days.

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Filed Under: Time and Work
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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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Filed Under: Percentage
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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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Filed Under: Percentage
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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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Filed Under: Percentage
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Q:

Statement: A large number of students who have passed their XII Std. terminal examination in the country could not get admission to colleges as the number of seats available are grossly inadequate.
Courses of action:
a. The evaluation system of XII Std. terminal examination should be made more tough so that fewer students pass the examination.
b. The Government should encourage the private sector to open new colleges by providing them land at cheaper rate.
c. The rich people should be asked to send their wards to foreign countries for higher studies enabling the needy students to get admission in colleges within the country.

A) only a and b follows	B) Only c follows
C) Only b follows	D) All a, b & c follows

Answer & Explanation Answer: C) Only b follows

Explanation:

Clearly, reducing the number of aspirants for admission to colleges or sending the students of well-to-do families to foreign countries for higher studies, is no proper solution. So, both I and III do not follow. The right solution is to increase the number of colleges so as t accommodate the increasing number of admission-seekers. So, only II follows.

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Filed Under: Statement and Courses of Action
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Q:

A clock is started at 11 a.m. By 600 seconds past 6 p.m, the hour hand has turned through ?

A) 155 degrees	B) 175 degrees
C) 205 degrees	D) 215 degrees

Answer & Explanation Answer: D) 215 degrees

Explanation:

The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes.
We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.
Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand.

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Filed Under: Clock puzzles
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Q:

Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ?

A) 6 : 8 : 9	B) 8 : 6 : 9
C) 9 : 8 : 6	D) 6 : 5 : 4

Answer & Explanation Answer: C) 9 : 8 : 6

Explanation:

Given the salaries are in the ratio of 4 : 5 : 6

Now the salaries are increased by 50%, 60% and 50% respectively

The New ratio of salaries will be

4 x (150/100) : 5 x (160/100) : 6 x (150/100)

= 6 : 8 : 9

The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6

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Filed Under: Ratios and Proportions
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Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4	B) 8
C) 12	D) None

Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

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Filed Under: Numbers
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