Basic Maths MCQs with answers PDF for Mathematics. Includes Math MCQs for all competitive exams like PPSC, FPSC, NTS, ETEA exams, and police past papers. Features Math MCQs test, Basic Math MCQs online test, and FPSC Math MCQs PDF.
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. 48/5 days
B. 75/8 days
C. 44/6 days
D. None of themA 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. 12,444 litres
B. 12,566 litres.
C. 12,342 litres.
D. 12,975 litres.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. 7
B. 18
C. 27
D. 37Capacity of the tank = (12×13.5)=162 litres
Capacity of each bucket = 9 litres.
Number of buckets needed = 162/9=18A 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. 31 days
B. 22 days
C. 37 ½ days
D. 22 daysWork 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
Kamal will complete work in 20 days. If Suresh is 25% more efficient than Kamal, he can complete the work in ____ days.
A. 16
B. 19
C. 25
D. 7Work done by Kamal in 1 day = 1/20
Work done by Suresh in 1 day = (1/20) × (125/100) = 5/80 = 1/16
=> Suresh can complete the work in 16 daysP can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in ______ days.
A. 5
B. 20
C. 7
D. 10Work done by P in 1 day = 1/24
Work done by Q in 1 day = 1/9
Work done by R in 1 day = 1/12
Work done by Q and R in 1 day = 1/9 + 1/12 = 7/36
Work done by Q and R in 3 days = 3×7/36 = 7/12
Remaining work = 1 – 7/12 = 5/12
Number of days in which P can finish the remaining work = (5/12) / (1/24) = 10Farjan and Kashif can complete a task in 30 days. Farjan leaves after 20 days and Kashif alone completes it in another 25 days. How many days does Farjan alone take to complete the entire task ?
A. 70
B. 60
C. 50
D. 30A and B can together do a piece of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it _____ ?
A. 60 days
B. 20 days
C. 50 days
D. 70 days(A+B)’S 1 day’s work = [1/15−1/20]=1/60
A alone can finish it in 60 daysTwo pipes P and Q can fill a cistern in 12 min. and 15 min. respectively but a third pipe ‘R’ can empty the full tank in 6 min. P and Q are kept open for 5 min. in the beginning and then ‘R’ is also opened. In what time is the cistern emptied ?
A. 40 min
B. 45 min
C. 30 min
D. 35 minP is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left ?
A. 11/15
B. 2/11
C. 8/15
D. 7/15Amount of work P can do in 1 day = 1/15
Amount of work Q can do in 1 day = 1/20
Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60
Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15
Fraction of work left = 1 – 7/15= 8/15