5 men or 9 women can do a piece of work 19 days. In how many days will 3 men and 6 women working together will finish the work?

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5 men or 9 women can do a piece of work 19 days. In how many days will 3 men and 6 women working together will finish the work?

A10 days

B15 days

C87 days

D38 days

rahul ? Jan 14 '2020 at 10:55

Correct answer is: 15 days

Explanation:

5 men = 19 days

3 men =\( \frac{5}{3} \times 19\) = 31.67 days

9 women = 19 days

6 women = \(\frac{9}{6} \times 19\) = 28.5 days

3 men + 6 women in 1 day = \(\frac{1}{31.67} + \frac{1}{28.5}\)

= 0.0315756 + 0.0350877 = 0.0666633

=\(\frac{ 667}{10,000}\)

So they will complete the work in  \(\frac{10,000}{667}\) = 14.99 days

ANSWER 15 days

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When 1 is added to each of the given two numbers, their ratio becomes 3 : 4 and when 5 is subtracted from each, the ratio becomes 7 : 10. The numbers are:

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When 1 is added to each of the given two numbers, their ratio becomes 3 : 4 and when 5 is subtracted from each, the ratio becomes 7 : 10. The numbers are:

A8, 11

B11, 15

C26, 35

D27, 36

rahul ? Jan 14 '2020 at 12:32

Correct answer is: 26, 35

Explanation:

Let the number be x and y

In first case

\(x+\frac{1}{y}+1=\frac{3}{4}.\)

4x-3y=-1 eq 1

In second case

\(x-\frac{5}{y}-5= \frac{7}{10}\)

10x-7y=15 eq 2

Solving eq 1 and 2

We get x=26 and y=35

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By selling a tape-recorder for 950, I lose 5%. What percent shall I gain by selling it for a 1040?

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By selling a tape-recorder for 950, I lose 5%. What percent shall I gain by selling it for a 1040?

A0.04

B0.045

C0.4

D0.05

rahul ? Jan 14 '2020 at 12:39

Correct answer is : 0.04

Explanation:

CP of the tape recorder \(=\frac{100}{95}\times 950= 1000 Rs.\)

Gain=1040-1000=40 Rs. %

Gain = \(\frac{40}{1000}=0.04\)

 

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The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area ?

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The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area ?

A37(1 / 2)%

B0.6

C0.75

DNone

rahul ? Jan 15 '2020 at 9:30

Correct answer is: \(37 \frac{1}{2} \%\)

Explanation:

Let original length = x and
original breadth = y.
Then, original area = xy

New length =\( \frac{160x}{100} = \frac{8x}{5}\).
Let new breadth = zThen. \(\frac{8x}{5} \times z = xy => z = \frac{5y}{8}\)
\therefore Decrease in breadth = \(\Big(\frac{3y}{8} \times \frac{1}{y} \times 100 \Big) \% = 37\frac{1}{2}\% \)

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The ratio between the present ages of Ravi and Jai is 3:2. If Ravi was 6 years older than Jai, four years back, how old is Jai now?

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The ratio between the present ages of Ravi and Jai is 3:2. If Ravi was 6 years older than Jai, four years back, how old is Jai now?

A6 years

B12 years

C18 years

DData inadequate

rahul ? Jan 14 '2020 at 14:53

Correct answer is: 12 years

Explanation:

Let Ravi's age = 3x years. Then, Jai's age = 2x years
(3x − 4) = 2x − 4 + 6 ⇒ x = 6
Jai's present age = (2 x 6) years = 12 years.

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