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Quantitative Aptitude

CHAIN RULE MCQs

Total Questions : 326 | Page 28 of 33 pages
Question 271. 49 pumps can empty a reservoir in $$6\frac{1}{2}$$ days, working 8 hours a day. If 196 pumps are used for 5 hours each day, then the same work will be complete in ?
  1.    2 days
  2.    $${\text{2}}\frac{1}{2}$$ days
  3.    $${\text{2}}\frac{3}{5}$$ days
  4.    3 days
 Discuss Question
Answer: Option C. -> $${\text{2}}\frac{3}{5}$$ days
Let the required number of days be x
Then,
More pumps, Less days (Indirect proportion)
Less working hour/day, More days (Indirect proportion)
\[\left. \begin{gathered}
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Pumps 196}}:49 \hfill \\
{\text{Working hour/day 5}}:8 \hfill \\
\end{gathered} \right\}::\frac{{13}}{2}:x\]
$$\eqalign{
& \therefore {\text{ }}196 \times 5 \times x = 49 \times 8 \times \frac{{13}}{2} \cr
& \Leftrightarrow x = \left( {49 \times 8 \times \frac{{13}}{2} \times \frac{1}{{196 \times 5}}} \right) \cr
& \Leftrightarrow x = \frac{{13}}{5} \cr
& \Leftrightarrow x = 2\frac{3}{5} \cr} $$
Question 272. 30 labourers working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers to finish the same piece of work in 30 days, will be ?
  1.    15
  2.    21
  3.    22
  4.    25
 Discuss Question
Answer: Option B. -> 21
Let the required number of labourers be x
Less working hour/day, More labours (Indirect proportion)
More days, Less labourers (Indirect proportion)
\[\left. \begin{gathered}
{\text{Working hours/day 6}}:7 \hfill \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Days 30}}:18 \hfill \\
\end{gathered} \right\}::30:x\]
$$\eqalign{
& \therefore 6 \times 30 \times x = 7 \times 18 \times 30 \cr
& \Leftrightarrow 6x = 126 \cr
& \Leftrightarrow x = 21 \cr} $$
Question 273. 3 men or 6 women can do a piece of work in 20 days. In how days will 12 men and 8 women do the same work ?
  1.    $${\text{3}}\frac{1}{2}{\text{ days}}$$
  2.    $${\text{3}}\frac{3}{4}{\text{ days}}$$
  3.    \[{\text{4 days}}\]
  4.    \[{\text{5 days}}\]
 Discuss Question
Answer: Option B. -> $${\text{3}}\frac{3}{4}{\text{ days}}$$
Let the required number of days be x
3 men = 6 women
⇒12 men = (2 × 12) women = 24 women
∴ 12 men and 8 women = (24 + 8) women = 32 women
Now, More women, Less days (Indirect Proportion)
$$\eqalign{
& \therefore {\text{ }}32:6::20:x \cr
& \Leftrightarrow x = \left( {\frac{{6 \times 20}}{{32}}} \right) \cr
& \Leftrightarrow x = \frac{{15}}{4} \cr
& \Leftrightarrow x = 3\frac{3}{4} \cr} $$
Question 274.  If a quarter kg of potato costs 60 paise how many paise will 200 gm cost ?
  1.    48 paise
  2.    54 paise
  3.    56 paise
  4.    72 paise
 Discuss Question
Answer: Option A. -> 48 paise
Question 275.  The price of 357 mangoes is Rs. 1517.25. What will be the approximate price of 9 dozens of such mang
  1.    Rs. 3000
  2.    Rs. 3500
  3.    Rs.. 4000
  4.    Rs. 2500
 Discuss Question
Answer: Option D. -> Rs. 2500
Question 276.  If 11.25 m of a uniform iron rod weighs 42.75 kg what will he the weight of 6 m of the same rod ?
  1.    22.8 kg
  2.    25.6kg
  3.    28 kg
  4.    26.5kg
 Discuss Question
Answer: Option A. -> 22.8 kg
Question 277.  If the price of 6 toys is Es. 264.37 what will be the approximate price of 5 toys ?
  1.    Rs. 140
  2.    Rs,100
  3.    Rs. 200
  4.    Rs. 220
 Discuss Question
Answer: Option D. -> Rs. 220
Question 278.  If the cost .of x metres of.wire is d rupees then whet is the cost of y metres of wire at the same r
  1.    Rs.(xy/d)
  2.    Rs.(xd)
  3.    Rs.(yd)
  4.    Rs. (yd/x)
 Discuss Question
Answer: Option D. -> Rs. (yd/x)
Question 279.  On a scale of map .0.6 cm represents 6.6 km. If the distance between the points on the map is 80.5 c
  1.    9 km
  2.    72.5 km
  3.    190.75 km
  4.    885.5 km
 Discuss Question
Answer: Option D. -> 885.5 km
Question 280.  An industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it
  1.    178
  2.    195
  3.    204
  4.    488
 Discuss Question
Answer: Option B. -> 195

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