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301.

One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in1). $39\frac{1}{11}$ hours2). $42\frac{7}{11}$ hours3). $43\frac{7}{11}$ hours4). 44 hours

Answer»

$43\frac{7}{11}$ hours : - is correct HENCE OPTION 3

302.

A swimming pool has 3 pipes to drain off the water. The first two pipes A and B, operating simultaneously, can empty the pool in 9/16 the time than that taken by C alone. Pipe A, working alone, takes one third the time taken by pipe B. All of them together take 2 hrs 24 minutes to empty the pool. Time taken by pipe A to empty the pool in hours is1). 52). 103). 154). 20

Answer»

Let the efficiencies of the THREE pipes be a, b and c.

As the first two pipes A and B OPERATING simultaneously can empty the pool in 9/16 the time than that taken by C alone

⇒ (a + b)/c = 16/9- - - - - - - - - - - - - - - (i)

Pipe A, working alone, takes one third the time taken by pipe B

⇒ a/b = 3- - - - - - - - - - - - - - - (ii)

2hr 24min = 2 + 24/60 hr = 2 + 2/5 hour = 12/5 hr

Together they can empty the pool in 12/5 hr

⇒ (a + b + c) × 12/5 = 1[Using (ii)]

⇒ (a + a/3 + (a + b) × 9/16) × 12/5 = 1[Using (i)]

⇒ (a + a/3 + (a + a/3) × 9/16) × 12/5 = 1[Using (ii)]

⇒ (a + a/3 + 4a/3 × 9/16) × 12/5 = 1

⇒ (a + a/3 + 3a/4) = 5/12

⇒ a(12 + 4 + 9)/12 = 5/12

⇒ a = 1/5

Since the efficiency of pipe A is a, the time taken by A alone = 1/a = 5 hours
303.

A and B can do a work in 45 days and 40 days respectively. They began the work together but A left after some time and B completed the remaining work in 23 days. After how many days of the start of the work did A leave ?1). 10 days2). 9 days3). 8 days4). 5 days

Answer» 9 DAYS is the BEST SUITED
304.

30 men can repair a road in 18 days. They are Joined by 6 more workers. Now the road can be repaired in1). 14 days2). 15 days3). 16 days4). 17 days

Answer» CORRECT ANSWER is: OPTION 2
305.

5 men can do a piece of work in 12 days and 10 women can do the same work in 15 days. 5 men and 10 women undertook the same work for Rs. 36,000. They finished the work in 5 days with the help of 15 children. What is the share of 5 children?1). Rs. 5,0002). Rs. 4,0003). Rs. 3,0004). Rs. 6,000

Answer»

Time TAKEN by 5 men to do a piece of work = 12 days

∴ Work done by 5 men in 1 DAY = 1/12

Time taken by 10 women to do the same work = 15 days

∴ Work done by 10 women in 1 day = 1/15

With the help of 15 children they finished the work = 5 days

∴ Work done by (5 men + 10 women + 15 children) in 1 day = 1/5

So, work by 15 children in 1 day = 1/5 - 1/12 - 1/15 = 1/20

Time taken by 15 children to do the same work = 20 days

The RATIO of their time = 12 : 15 : 20

We know, the EFFICIENCY is inversely proportional to the time

So, ratio of their efficiency = 1/12 : 1/15 : 1/20 = 5 : 4 : 3

So, 5 + 4 + 3 = 12 unit = 36,000

⇒ 1 unit = 3,000

⇒ 3 unit = 9,000

∴ Share of 15 children is 9,000

So, share of 1 child = 9,000/15 = 600

So, share of 5 children = 600 × 5 = 3,000

306.

A and B were assigned to do a job for an amount of Rs. 1,200. A alone can do it in 15 days, while B can do it in 12 days. With the help of C, they can finish in 5 days. The share of amount that C earns is1). Rs. 3002). Rs. 4003). Rs. 5004). Rs. 600

Answer» RS. 300
307.

A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days B could finish the work ?1). 48 days2). 24 days3). 16 days4). 12 days

Answer» 48 DAYS is the CORRECT ANSWER as PER the ssc answer key
308.

Two labourers A and B are paid a total of Rs. 650 per day. If A is paid 160 percent of what is paid to B, how much (in Rs.) is B paid?1). 2502). 4003). 3504). 450

Answer»

Let A get RS. X and B get Rs. (650 - X)

WAGES of A = 160% of wages of B

X = 160/100 × (650 - X)

10X = 16 × 650 - 16X

⇒ X = 16 × 650/26 = 400

∴ Wages of B = 650 - 400 = Rs. 250
309.

Aman alone can do a piece of work in 6 days and Bijoy alone in 8 days. Aman and Bijoy undertook to do it for Rs. 3200. With the help of Chinmesh, they completed the work in 3 days. Compute the money to be paid to Chinmesh?1). Rs. 7502). Rs. 6003). Rs. 4004). Rs. 800

Answer»

LET Aman, Bijoy and Chinmesh be A, B, and C respectively.

C's 1 day's WORK = 1/3 – (1/6 + 1/8) = 1/24

A's WAGES : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4 : 3 : 1

C's share (for 3 days) = 1/8 × 3200 = Rs. 400
310.

A 10 hectare field is reaped by 2 men. 3 women and 4 children together in 10 days. If working capabilities of a man. a woman and a child are in the ratio 5:4:2. then a 16 hectare field will be reaped by 6 men,4 women and 7 children in1). 5 days2). 6 days3). 7 days4). 8 days

Answer» CORRECT ANSWER is: 8 DAYS
311.

Samsung and Motorola companies together can manufacture 32 Cell phones in 4 days. After 8 days, Motorola Stopped manufacturing. Samsung took 12 more days to manufacture rest of the cell phones. If total of 100 cell phones were manufactured, the time taken by Motorola to manufacture 15 Cell phones is1). 1 day2). 2 days3). 3 days4). 4 days

Answer»

It’s Given SAMSUNG and Motorola companies together can manufacture 32 Cell PHONES in 4 days

∴ both can manufacture (32/4) = 8 Cell phones in 1 day.

⇒ Amount of cell phones manufactured in 8 days = 64 cell phones

Total cell phones manufactured = 100

Amount LEFT = 100 – 64 = 36

⇒ Samsung TOOK 12 days to manufacture 36

∴ It manufactured 3 Cell phones in 1 day.

Since in 1 day both can manufacture 8 Cell phones and out of which Samsung can manufacture 3 per day.

⇒ Motorola can manufacture 8 – 3 = 5 cell phones/day.

To manufacture 15 set Motorola will need 15/5 = 3 days.