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Mathematics Mcqs

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?

A. 37 ½ days
B. 22 days
C. 31 days
D. 22 days
Work done by A in 20 days = 80/100 = 8/10 = 4/5
Work done by A in 1 day = (4/5) / 20 = 4/100 = 1/25 — (1)
Work done by A and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by A and B)
Work done by A and B in 1 day = 1/15 —(2)
Work done by B in 1 day = 1/15 – 1/25 = 2/75
=> B can complete the work in 75/2 days = 37 ½ days

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres.  How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres.  How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

A. 14
B. 15
C. 16
D. 18
Capacity of the tank = (12×13.5)=162 litres
Capacity of each bucket = 9 litres.
Number of buckets needed = 162/9=18

12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres.  How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

A leak in the lower portion of a tank can empty the full tank in 9 hrs.  An inlet pipe fills water at the rtae of 10 lit. a minute.  When the tank is full, the inlet is opened and due to leak, the tank is empty in 16 hrs.  How many litres does the cistern hold ?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A leak in the lower portion of a tank can empty the full tank in 9 hrs.  An inlet pipe fills water at the rtae of 10 lit. a minute.  When the tank is full, the inlet is opened and due to leak, the tank is empty in 16 hrs.  How many litres does the cistern hold ?

A. 12,342 litres.
B. 12,444 litres
C. 12,566 litres.
D. None of thes

A leak in the lower portion of a tank can empty the full tank in 9 hrs.  An inlet pipe fills water at the rtae of 10 lit. a minute.  When the tank is full, the inlet is opened and due to leak, the tank is empty in 16 hrs.  How many litres does the cistern hold ? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ?

A. 75/8 days
B. 44/6 days
C. 48/5 days
D. None of these

A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complete the work. Find X

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complete the work. Find X

A. 12
B. 8
C. 10
D. 9
Part of work completed by A in a day = 1/X Part of work completed by B in a day
= 1/(X+5) (1/X)+(1/(X+5)) = 1/6 (2X+5)/(X²+5X) = 1/6 X²+5X = 6(2X+5) X²-7X-30=0 Solving, X=10

A alone can finish a work in X days. B alone can finish the same work in X+5 days. Together, they take 6 days to complete the work. Find X Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A. 2700
B. 1080
C. 450
D. 1800
Number of bottles produced by 1 machine in a minute
= 270/6 Number of bottles produced by 10 machines in 4 minutes
= (270/6)*10*4 = 1800

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?

A. 7
B. 8
C. 9
D. 10
Let work done by P in 1 day = p
work done by Q in 1 day =q
Work done by R in 1 day = r
p + q = 1/8 —(1)
q + r= 1/12 —(2)
p+ q+ r = 1/6 —(3)
(3) – (2) => p = 1/6 – 1/12 = 1/12
(3) – (1) => r = 1/6 – 1/8 = 1/24
p + r = 1/12 + 1/24 = 3/24 = 1/8
=> P and R will finish the work in 8 days

P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

A. 7
B. 5
C. 6
D. 4
Work done by 10 men in 1 day = 1/7
Work done by 1 man in 1 day = (1/7)/10 = 1/70
Work done by 10 women in 1 day = 1/14
Work done by 1 woman in 1 day = 1/140
Work done by 5 men and 10 women in 1 day = 5 × (1/70) + 10 × (1/140)
= 5/70 + 10/140 = 1/7
=> 5 men and 10 women can complete the work in 7 days

10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in__________?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in__________?

A. 30 days
B. 25 days
C. 20 days
D. 15 days
Work done by P and Q in 1 day = 1/10
Work done by R in 1 day = 1/50
Work done by P, Q and R in 1 day = 1/10 + 1/50 = 6/50
But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as
Work done by P in 1 day × 2 = 6/50
=> Work done by P in 1 day = 3/50
=> Work done by Q and R in 1 day = 3/50
Hence work done by Q in 1 day = 3/50 – 1/50 = 2/50 = 1/25
So Q alone can do the work in 25 days

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in__________? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

A leak in the bottom of a tank can empty the full tank in 6 hrs.  An inlet pipe fills water at the rate of 4 lit. a minute.  When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs.  The capacity of the tank in liters is_________?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A leak in the bottom of a tank can empty the full tank in 6 hrs.  An inlet pipe fills water at the rate of 4 lit. a minute.  When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs.  The capacity of the tank in liters is_________?

A. 5,750 litres
B. 5,760 litres
C. 6,890 litres
D. None of these

A leak in the bottom of a tank can empty the full tank in 6 hrs.  An inlet pipe fills water at the rate of 4 lit. a minute.  When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs.  The capacity of the tank in liters is_________? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs