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Q:

2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in

A) 18 days	B) 21 days
C) 24 days	D) 30 days

Answer & Explanation Answer: B) 21 days

Explanation:

(2 x 14) men +(7 x 14) boys = (3 x 11) men + (8 x 11) boys

=>5 men= 10 boys => 1man= 2 boys

Therefore, (2 men+ 7 boys) = (2 x 2 +7) boys = 11 boys

( 8 men + 6 boys) = (8 x 2 +6) boys = 22 boys.

Let the required number of days be x.

More boys , Less days (Indirect proportion)

More work , More days (Direct proportion)

$\begin{array}{r} \begin{matrix} B o y s & 22 : 11 \end{matrix} \\ \begin{matrix} W o r k & 1 : 3 \end{matrix} \end{array}\} ⋮ ⋮ 14 : x$

Therefore, (22 * 1 * x) = (11 * 3 * 14)

=> x = 21

Hence, the required number of days = 21

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Q:

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

A) 3	B) 5
C) 6	D) 9

Answer & Explanation Answer: B) 5

Explanation:

[(100 x 35) + (200 x 5)]men can finish the work in 1 day

Therefore, 4500 men can finish the work in 1 day. 100 men can finish it in 4500/100= 45 days.

This is 5 days behind Schedule

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Q:

A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

A) 75	B) 82
C) 100	D) 110

Answer & Explanation Answer: D) 110

Explanation:

Originally let there be x men.

Less men, More days (Indirect Proportion)

Therefore, (x-10) : x :: 100 :110

=> (x - 10) * 110 = x * 100 => x= 110

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Q:

If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?

A) 22	B) 14
C) 13	D) 11

Answer & Explanation Answer: D) 11

Explanation:

Let the required no of binders be X.

Less books , Less binders (Direct Proportion)

More days, Less binders (Indirect proportion)

$\begin{array}{r} \begin{matrix} B o o k s & 900 : 660 \end{matrix} \\ \begin{matrix} D a y s & 12 : 10 \end{matrix} \end{array}\} ⋮ ⋮ 18 : x$

Therefore, (900 * 12 * x) = (660 * 10 * 18)

=> x = 11

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Q:

If 8 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?

A) 350	B) 400
C) 425	D) 450

Answer & Explanation Answer: D) 450

Explanation:

Let the required no of hectares be x. Then

More men, More hectares (Direct proportion)

More days, More hectares (Direct proportion)

$\begin{array}{r} \begin{matrix} M e n & 8 : 36 \end{matrix} \\ \begin{matrix} D a y s & 24 : 30 \end{matrix} \end{array}\} ⋮ ⋮ 80 : x$

=> ( 8 * 24 * x) = (36 * 30 * 80)

=> x= 450

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Q:

3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: D) 12

Explanation:

Let the required no of working hours per day be x.

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

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

$\begin{array}{r} \begin{matrix} P u m p s & 4 : 3 \end{matrix} \\ \begin{matrix} D a y s & 1 : 2 \end{matrix} \end{array}\} ⋮ ⋮ 8 : x$

=> (4 * 1 * x) = (3 * 2 * 8)

=> x=12

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Q:

If a quarter Kg of potato costs 60 paise, How many paise will 200 gm cost?

A) 48 Paise	B) 54 Paise
C) 56 Paise	D) 72 Paise

Answer & Explanation Answer: A) 48 Paise

Explanation:

Let the Required cost be X paise. Less Weight , Less cost (Direct Proportion)

Therefore, 250 : 200 :: 60 : x

=> (250 * x) = (200 * 60)

=> x= 48

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Q:

If the Price of 6 toys is Rs. 264.37, What will be the approximate price of 5 toys?

A) Rs.120	B) Rs.100
C) Rs.200	D) Rs.220

Answer & Explanation Answer: D) Rs.220

Explanation:

Let the required Price be Rs. X .Then, Lest toys , Less cost (Direct Proportion)

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