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Answer to Aptitude Question For SSC Bank -Time and Distance

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Answers :

 

1). Answer: d)
Explanation:

 

Total work = men*days

 

Total units of work = 25*16 = 400 units

 

Work done in 4 days = 25*4 = 100 units

 

Remaining work = 400 – 100 = 300 units

 

Let the number of men left after 4 days be x,

 

According to the question,

 

300/15 = 25 – x

 

20 = 25 – x

 

X = 5 men

 

After 4 days from the start of the work, 5 men left the job.

 

2). Answer: a)
Explanation:

 

Total work = (men (or) women)*days

 

Work equal,

 

(10w + 6m)*5 = (7w + 8m)*6

 

50w + 30m = 42w + 48m

 

8w = 18m

 

4w = 9m = > 1w = (9/4) m

 

10w + 6m = 10*(9/4) m + 6m = (57/2) m

 

12w + 5m = 12*(9/4) m + 3 m = 30 m

 

Women      days

 

(57/2)                   5

 

30               ?

 

(57/2)*5 = 30x

 

X = (57/2)*(5/30) = 4 9/12 = 4 ¾ days

 

3). Answer: c)
Explanation:

 

Total work = men * days

 

Total work = 20*12 = 240

 

6 days work = 20*6 = 120

 

Remaining work = 240 – 120 = 120 work

 

Now, the total men = 20 – 5 = 15 men

 

Remaining work can be completed in,

 

= > 120/15 = 8 days

 

Remaining work gets completed in 8 days.

 

4). Answer: b)
Explanation:

 

1/12 + 1/16 + 1/C = 3/16

 

1/C = (3/16) – (1/12 + 1/16)

 

(1/C) = (3/16) – (7/48) = 1/24

 

C can do it in 24 days.

 

Efficiency of A, B and C = (1/12) : (1/16) : (1/24) = 4 : 3 : 2

 

9’s = 4500

 

1’s = 500

 

The share of C = Rs. 1000

 

5). Answer: d)
Explanation:

 

Shortcut:

 

Men   women        days

 

4        7                 49

 

6        14               ?

 

Required days = (4*7*49)/(56 + 42) = (4*7*49)/98

 

= > 14 days

 

(Or)

 

4 men = 7 women

 

1 men = (7/4) women

 

6 m + 14 w = 6*(7/4) w + 14 w = 49/2 w

 

Women        days

 

7                 49

 

49/2            ?

= > (7*49*2)/49 = 14 days