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.

## P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in ____ days ?

A. 2

B. 3**C. 4**D. 6Work done by Q in 1 day = 1/12

Work done by P in 1 day = 2 × (1/12) = 1/6

Work done by P and Q in 1 day = 1/12 + 1/6 = ¼

=> P and Q can finish the work in 4 days## If 6 men working together can complete 50 identical tasks in 4 hours then how many such identical tasks can be completed if 10 men are working together for 6 hours ?

A. 56

**B. 125**C. 35

D. 25M1*D1*W2 = M2*D2*W1

Where, M – number of people working

D – time of work

W – number of tasks or work

6*4*W2 = 10*6*50

W2 = 125 tasks## A,B,C, can do a work in 8,14,16 days respectively. A does the work for the first 2 days. B continues from it and finishes 2/3rd of the remaining work. C finishes the remaining work. How many days would have taken to complete the work ?

A. 6

**B. 13**C. 17

D. 26A completes 2*(1/8) = 1/4th of the work 2/3rd of the remaining work

= (3/4) * (2/3) = 1/2 B completes 1/2 of the work in

(1/2)÷(1/14) = 7 days C completes 1/4th of the work in

(1/4)÷(1/16) = 4 days They take 13 days to complete the work## A and B can do a piece of work in 21 and 24 days respectively.They start the work together and after some days, A leaves and B completes the rest of the task in 9 days. After how many days did A leave ?

A. 5

**B. 7**C. 10

D. 15Part of work completed by A in a day = 1/21 Part of work completed by B in a day = 1/24 Part of work completed by them together in a day = (1/21)+(1/24)

= 5/56 Part of work completed by B in 9 days

= 9/24 = 3/8 If A left after x days,

(5x/56)+(3/8) = 1

x = 7## A can do piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it _____ ?

A. 50 days

B. 45 days**C. 120/7 days**D. 70 days## A can do a certain job in 12 days. B is 60% more efficient than A. The number of days it takes for B to do the same piece of work, is _____ ?

**A. 15/2 days**B. 34 days

C. 12/6 days

D. 23 daysRatio of time, taken by A and B = 160 : 100 = 8 : 5

If A takes 8 days, B takes 5 days.

If A takes 12 days, B takes = [5/8×12]=15/2 days## 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. 3 min

B. 5 min

C. 2 min**D. 4 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## 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. 4 ¼

B. 5

C. 8**D. 3 3⁄7**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## 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. 4:3**B. 2:1

C. 1:3

D. 2:3Work 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 = 1/15Work 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

## 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. 5

**B. 2**C. 14

D. 23M1*D1*W2 = M2*D2*W1

10*3*10*32 = 30*d*8*20

d = 2 days