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Q:

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

A) 10	B) 13
C) 14	D) 15

Answer & Explanation Answer: B) 13

Explanation:

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

More working hours per day, Less days (Indirect Proportion)

$\begin{array}{r} \begin{matrix} P e r s o n s & 30 : 39 \end{matrix} \\ \begin{matrix} W o r k i n g h o u r s / d a y & 6 : 5 \end{matrix} \end{array}\} ⋮ ⋮ 12 : x$

=> 30 * 6 * x = 39 * 5 * 12

=> x= 13

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Q:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

A) 29	B) 37
C) 42	D) 54

Answer & Explanation Answer: C) 42

Explanation:

After 10 days : 150 men had food for 35 days.

Suppose 125 men had food for x days.

Now, Less men, More days (Indirect Proportion)

$∴$ 125 : 150 :: 35 : x $\Leftrightarrow$ 125 x x = 150 x 35

$\Rightarrow x = \frac{150 \times 35}{125} = 42$

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Q:

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A) 648	B) 1800
C) 2700	D) 10800

Answer & Explanation Answer: B) 1800

Explanation:

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

$\begin{array}{r} \begin{matrix} m a c h i n e s & 6 : 10 \end{matrix} \\ \begin{matrix} t i m e (i n m i n) & 1 : 4 \end{matrix} \end{array}\} ⋮ ⋮ 270 : x$

=> 6 * 1 * x = 10 * 4 * 270

=> x= 1800

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Q:

If 16 men working 7 hours day can plough a fieid in 4l days, inhow many days will 14 men working 12 hours a clay plough the samefield ?

A) 46	B) 32
C) 35	D) 30

Answer & Explanation Answer: B) 32

Explanation:

(Men 14 : 16) : (Hrs/Day 12 : 7) :: 48 : x
14 * 12 * x = 16 * 7 * 48 or x = 32

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Q:

Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in

A) 6 days	B) 12 days
C) 4 days	D) 3 days

Answer & Explanation Answer: D) 3 days

Explanation:

Let x men can do the in 12 days and the required number of days be z

More men, Less days [Indirect Proportion]

Less work, Less days [Direct Proportion ]

$\begin{array}{r} \begin{matrix} m e n & 2 x & : & x \end{matrix} \\ \begin{matrix} w o r k & 1 & : & \frac{1}{2} \end{matrix} \end{array}\} : : 12 : z$

$∴ (2 x \times 1 \times z) = (x \times \frac{1}{2} \times 12)$

$\Rightarrow z = 3$

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Q:

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?

A) 4 hours a day	B) 5 hours a day
C) 6 hours a day	D) 7 hours a day

Answer & Explanation Answer: C) 6 hours a day

Explanation:

More Men, Less Hours {Indirect Proportion}

Less Days, More Hours {Indirect Proportion}

$\begin{array}{r} \begin{matrix} m e n & 15 : 10 \end{matrix} \\ \begin{matrix} d a y s & 12 : 18 \end{matrix} \end{array}\} ⋮ ⋮ 6 : x$

=> 15 * 12 * x = 10 * 18 * 6

=>x = 6

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Q:

An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?

A) 194 seconds	B) 195 seconds
C) 196 seconds	D) 197seconds

Answer & Explanation Answer: B) 195 seconds

Explanation:

Let the time required by x seconds.

Then, More cloth means More time (Direct Proportion)

So, 0.128 : 1 :: 25 : x

$\Rightarrow x = \frac{1 \times 25}{0.128}$ => x = 195.31

So time will be approx 195 seconds

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Q:

A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct, then the correct answer would be ?? please explain in detail

A) 553681	B) 555181
C) 555681	D) 556581

Answer & Explanation Answer: C) 555681

Explanation:

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

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