Quantitative Aptitude Quiz for IBPS | IPPB – Set 177

1)Excluding stoppage, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
a) 9
b) 10
c) 12
d) 20
e) None of these

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Answer b)10
Due to stoppages, it cover 9 km less.
Time taken to cover 9 km=[(9/54)X60)min=10 min

2)Two men starting from the same place walk at the rate of 4 kmph and 4.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?
a) 1 hour
b) 4 hrs 15 min
c) 17 hrs
d) 2 hrs. 55 min.
e) None of these

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Answer c)17hrs
To be 0.5 km apart, they take 1 hour
To be 8.5 km apart, they would take=[(1/0.5)X8.5]hrs=17 hrs.

3)Two cyclists start from the same place in opposite directions. One goes towards north at 18 kmph and the other goes towards south at 20 kmph. What time will they take to be 47.5 km apart?
a) 2(1/4) hrs
b) 1(1/4) hrs
c) 2 hrs 23 min
d) 23(1/4) hrs
e) None of these

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Answer b)1(1/4) hrs.

4)A man covers a certain distance on scooter. Had he moved 3 kmph faster, he would have taken 40 min. less. If he had moved 2 kmph slower, he would have taken 40 min. more. The distance (in km) is?
a) 20
b) 36
c) 37.5
d) 40
e) None of these

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Answer d)40

5)If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is ?
a) 13 min.
b) 15 min.
c) 19 min.
d) 21 min.
e) None of these

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Answer c)19min
Let the correct time to complete the journey be x min.
Then, distance travelled in (x+11) min at 40 kmph
=distance covered in (x+5) min. at 50 kmph.
Therefore, (x+11)X(40/60)=(x+5)X(50/60)
10x=190
x=19 min.
6)Two buses travel to a place at 45 kmph and 60 kmph respectively. If the second bus takes 5(1/2) hours less than the first for the journey, the length of the journey is?
a) 900 km
b) 945 km
c) 990 km
d) 1350 km
e) None of these
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Answer c)990km.
Let the length of journey be x km. Then,
(x/45)-(x/60)=11/2
X=990 km.

7)4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?
a)30 days
b)40 days
c)50 days
d)60 days

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Answer c)40days

8)10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
a)6 days
b)7 days
c)8 days
d)9 days
e)none of these

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Answer b)7days

9)5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio?
a)1:2
b)1:3
c)2:1
d)2:3
e)none of these

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Answer c)2:1

10)A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours, for the completion of the same product. If all of them worked together and completed 14 products, then how many hours have they worked?
a)20 hrs
b)28 hrs
c)40 hrs
d)54 hrs
e)none of these

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Answer C)40hrs
1/A=1/10 and
1/B+1/C=1/4 (Given)
1/A+1/B+1/C=1/4+1/10
=7/20
In 20 hours, working together they will complete 7 products.
Thus in 40 hours they will complete 14 products