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Basic Maths 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

A tap can fill a tank in 32 min. and another can empty it in 16 min.  If the tank is already half full and both the tanks are opened together, the tank will be_________?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A tap can fill a tank in 32 min. and another can empty it in 16 min.  If the tank is already half full and both the tanks are opened together, the tank will be_________?

A. 12 min
B. 14 min
C. 16 min
D. 20 min
In this problem, rate of water pipe (waste) is more, the tank will be emptied when the pipes are opened.
Work done in total emptying in 1 min.
=1/16−1/32=1/32
Now, full tank will be emptied by them in 32 minutes.
Half full tank will be emptied in 16 minutes.

A tap can fill a tank in 32 min. and another can empty it in 16 min.  If the tank is already half full and both the tanks are opened together, the tank will be_________? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in__________?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in__________?

A. 20 days
B. 30 days
C. 40 days
D. none of these

A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in__________? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.

A. 3:4
B. 5:4
C. 4:3
D. 5:3
Part of work completed by a man in a day = 1/(12*20)
= 1/240 Part of work completed by a woman in a day = 1/(20*16) = 1/320 Ratio of their capacities
= (1/240):(1/320) = 320:240 = 4:3

Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman. Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

A can lay a railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in_________?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A can lay a railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in_________?

A. 4
B. 9.6
C. 9
D. 10
Part of work completed by A and B in 4 days
= 4*((1/16) + (1/12))
= 7/12 C can complete 5/12th of the work in 4 days C can complete the whole job in
4÷(5/12) = 9.6 days

A can lay a railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in_________? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?

A. 2
B. 8
C. 10
D. 12
M1*D1*W2 = M2*D2*W1
10*3*10*32 = 30*d*8*20
d = 2 days

If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________?

A. 1:3
B. 4:3
C. 2:3
D. 2:1
Work done by 20 women in 1 day = 1/16
Work done by 1 woman in 1 day = 1/(16×20)
Work done by 16 men in 1 day = 1/15
Work done by 1 man in 1 day = 1/(15×16)
Ratio of the capacity of a man and woman =1/(15×16) : 1/(16×20) = 1/15 : 1/20
= 1/3 :1/4 = 4:3

A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together.

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together.

A. 2
B. 3 3⁄7
C. 4 ¼
D. 5
Work done by P in 1 day = 1/24
Work done by Q in 1 day = 1/6
Work done by R in 1 day = 1/12
Work done by P,Q and R in 1 day = 1/24 + 1/6 + 1/12 = 7/24
=> Working together, they will complete the work in 24/7 days = 3 3⁄7 days

P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together. Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs

Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively.  Simultaneously both the pipes are opened together, then after how much time Q should be closed so that the tank is full in 9 min ?

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs /
Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively.  Simultaneously both the pipes are opened together, then after how much time Q should be closed so that the tank is full in 9 min ?

A. 2 min
B. 3 min
C. 4 min
D. 5 min
Let Q be closed after x min.  Then part filled by (P+Q) in x min + part filled by P in ( 9 – x )min
x(1/12+1/16)+(9−x)1/12=1

Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively.  Simultaneously both the pipes are opened together, then after how much time Q should be closed so that the tank is full in 9 min ? Read More »

Basic Maths Mcqs, Mathematics Mcqs, Time and Work Mcqs