# Quantitative Aptitude Quiz for IBPS | SBI – Set 222

1) pipe A can fil an empty tank in 30 hours while B can fill it in 45 hours . pipe A and B are opened and closed alternatively , first pipe A is opened . then B, again A and then B and So on for 1 hour each time without any time lapse , in how many hours the tank will be filled when it was empty initially ?
a)54
b)60
c)36
d)48

in one hour pipe A can fill = 1/30 part of the tank
in one hour pipe B can fill = 1/45 part of the tank
in two hour A and B can fill = 1/18 part of the tank
therefore in 36 hours the tank will be completely filled.

2) A,B,C three weavers have to supply an order of 100 shawls . A can weave a shawl in 2hours ,B in 3 hours , and c in 4 hours respectively . it is known that even being a joint contract each one weaves his own shawl completely , no other weaver help to rest weavers . in how many hours they will complete the order irrespective of day or night ?
a) 100 hours
b) 93 hours
c) 94 hours
d) 90 hours

Lcm of 2 , 3 and 4 = 12
in 12 hours A will make 6 shawls
B will make 4 shawls
and C will make 3 shawls.
so total shawls will weave in 12 hours = 13 shawls
in 84 hours they will weave 91 shwals

now in 9 hours A will make4 shows
in 9 hours B will make 3 shawls
in 9 hours C will make 2 shalws

so they will complete 100 shawls in 93 hours.

3) Anand can do a piece of work in 45 days but rashmi can do the same work in 5 days less than Anand , when working alone . Anand and Rashmi both started the work together but Rashmi left after some days and Anand finished the remaining Work in 56 days with half of his efficiency but he did the work with Rashmi with his complete efficiency . for how many days they had worked together?
a)10
b)12
c)6
d)8

no. of days Anand = 45
efficiency of Anand= 1/45

no. of days Rashmi= 40
efficiency of Rashmi =1/40
Anand finished the remaining Work in 56 days with half of his efficiency = 56*1/(45*2) = 28/45
so , rest WOrk (17/45) was done by Anand and Rashmi = (17/45)/17/360= 8days

(since Anand and B do the work in one day = 1/45+ 1/40= 17/360 )

4)Ram can do a work in 20days , karan can do the same in 25 days . they started the work jointly. few days later subhi also joined them and thus all of them were paid total Rs. 700. what is the share of Subhi ?
a)Rs.150
b)Rs.180
c)Rs.130
d)Rs.70

Efficiency of Ram = 5%
Efficiency of Karan = 4%
in 10days working together they will complete only 90% of the Work .

{( 5+4) *10} =90
hence the remaining work will surely done by shubhi which is 10%
thus subhi will get 10% of Rs.700 , which is Rs. 70

5)A contractor undertook to complete the work in 40 days and he deployed 20 men for his work . 8 days before the scheduled time he realized that 1/3rd of the work was still to be done . how many more men were required to complete the work in stipulated time?
a)20
b)16
c)25
d)22

Work done after 8 days = 2/3
remaining = 1/3 , which is half of 2/3
so , 1/2*20*32= 8*x
x= 40 men

therefore, 20 more men were required.

6) 1, 5, 34 , 99 ?
a) 200
b) 212
c) 313
d) 213

series logic is based on double difference
1, 5 , 34 , 99, ?= 213
4, 29, 65, 114
25 36 49

7) 6, 14, 26, 42, ?
a)50
b)52
c)45
d)62

2*1+4=6
4*2+6=14
6*3+8=26
8*4+10= 42
10*5+12= 62

8) 5, 10, 17, 28, ?
a)47
b)57
c)40
d)36

2^1+3*1= 5
2^2+3*2=10
2^3+3*3= 17
2^4+3*4= 28
2^5+3*5= 47

9) 0, 4, 31 , 47, ?
a)90
b)175
c)172
d)160

difference of 4 , 27, 16, 125

47+125 = 172

10) 10, 12, 9, 13, ?
a)7
b)25
c)16
d)8

difference +2 , -3, +4, -5