Mathematics MCQs

A. 70 days
B. 120/7 days
C. 50 days
D. 45 days

Correct Answer: B. 120/7 days ✔

A. 5
B. 6
C. 7
D. 8

Part 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

Correct Answer: C. 7 ✔

A. 13
B. 11
C. 12
D. 15

A 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

Correct Answer: A. 13 ✔

A. 20
B. 25
C. 125
D. 60

M1*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

Correct Answer: C. 125 ✔

A. 1
B. 2
C. 3
D. 4

Work 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

Correct Answer: D. 4 ✔

A. 9
B. 11
C. 23
D. 13

Work done by P in 1 day = 1/23
Let work done by Q in 1 day = q
q × (130/100) = 1/23
=> q = 100/(23×130) = 10/(23×13)
Work done by P and Q in 1 day = 1/23 + 10/(23×13) = 23/(23×13)= 1/13
=> P and Q together can do the work in 13 days

Correct Answer: D. 13 ✔

A. 4 days
B. 6 days
C. 2 days
D. 8 days

Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = b
Work done by 6 men and 8 women in 1 day = 1/10
=> 6m + 8b = 1/10
=> 60m + 80b = 1 — (1)
Work done by 26 men and 48 women in 1 day = 1/2
=> 26m + 48b = ½
=> 52m + 96b = 1— (2)
Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200
Work done by 15 men and 20 women in 1 day
= 15/100 + 20/200 =1/4
=> Time taken by 15 men and 20 women in doing the work = 4 days

Correct Answer: A. 4 days ✔

A. 10 min
B. 20 min
C. 30 min
D. 40 min

Work done by waste pipe in 1 minute
=1/20−(1/12+1/15)=−1/10
Waste pipe will empty the full cistern in 10 minutes.

Correct Answer: A. 10 min ✔

A. 5 min
B. 10 min
C. 15 min
D. 20 min

Correct Answer: A. 5 min ✔

A. 35 Rs.
B. 40 Rs.
C. 45 Rs.
D. None of these

Ratio of time taken by A and B= 10 : 15 = 2 : 3
Ratio of work done in the same time  = 3:2, So, the money is to be divided among A and B in the ratio 3 : 2
A’s share = Rs. [75×3/5] = Rs.45.

Correct Answer: C. 45 Rs. ✔

A. 30 days
B. 25 days
C. 24 days
D. 20 days

Part of work done by 1 man in a day = 1/m Part of work done by 1 woman in a day
= 1/w (2/m)+(12/w) = (1/4) (4/m)+(6/w) = (1/5) Solving,
1/m = 1/40 ,1/w = 1/60 (1/m)+(1/w) = 5/120 = 1/24

Correct Answer: C. 24 days ✔

A. 3/5
B. 4/7
C. 2/5
D. 1/4

Part of work completed by Bilal in a day = 1/15 Part of work completed by Jalal in a day = 1/12 Part of work completed by them in a day = (1/15)+(1/12) = 3/20 Part of work completed by them in 4 days = (3/20)*4 = 3/5 Fraction of work left
= 1-(3/5)
= 2/5

Correct Answer: C. 2/5 ✔

A. 48
B. 34(2/7)
C. 44
D. 45

(1/A)+(1/B) = (1/20) (1/B)+(1/C) = (1/30) (1/A)+(1/C) = (1/40) Solving the three equations,
A=48

Correct Answer: A. 48 ✔

A. 120, 40, 60 days
B. 120, 60, 80 days
C. 40, 30, 120 days
D. 30, 40, 60 days

Let a: be the time in which X & Y completes their work = 30 days
b: time in which Y & Z completes their work = 24 days
c: time in which X & Z completes their work = 40 days
X alone can complete the work in (2 * a * c) / (ab + bc – ac) days
= 2 * 30 * 24 * 40 / ((30 * 24) + (24 * 40) – (30 * 40)) = 120 days
Y alone can complete the work in 2 * a * b * c / (- ab + bc + ac) days
= 2 * 30 * 24 * 40 / (-(30 * 24) + (24 * 40) + (30 * 40)) = 40 days
Z alone can complete the work in 2 * a * b * c / (ab – bc + ac) days
= 2 * 30 * 24 * 40 / ((30 * 24) – (24 * 40) + (30 * 40))
= 60 days

Correct Answer: A. 120, 40, 60 days ✔

A. 10
B. 8
C. 18
D. 19

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 = 1/30
q + r = 1/24
r + p = 1/20
Adding all the above, 2p + 2q + 2r = 1/30 + 1/24+ 1/20 = 15/120 = 1/8
=> p + q + r = 1/16
=> Work done by P,Q and R in 1 day = 1/16
Work done by P, Q and R in 10 days = 10 × (1/16) = 10/16 = 5/8
Remaining work = 1 = 5/8 = 3/8
Work done by P in 1 day = Work done by P,Q and R in 1 day – Work done by Q and R in 1 day
= 1/16 – 1/24 = 1/48
Number of days P needs to work to complete the remaining work = (3/8) / (1/48) = 18

Correct Answer: C. 18 ✔

A. 5 5⁄11
B. 4 5⁄11
C. 6 4⁄11
D. 6 5⁄11

A can complete the work in 12 days working 8 hours a day
=> Number of hours A can complete the work = 12×8 = 96 hours
=> Work done by A in 1 hour = 1/96
B can complete the work in 8 days working 10 hours a day
=> Number of hours B can complete the work = 8×10 = 80 hours
=> Work done by B in 1 hour = 1/80
Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480
=> A and B can complete the work in 480/11 hours
A and B works 8 hours a day
Hence total days to complete the work with A and B working together
= (480/11)/ (8) = 60/11 days = 5 5⁄11 days

Correct Answer: A. 5 5⁄11 ✔

A. Rs. 380
B. Rs. 600
C. Rs. 420
D. Rs. 400

Amount of work A can do in 1 day = 1/6
Amount of work B can do in 1 day = 1/8
Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24
Amount of work A + B + C can do = 1/3
Amount of work C can do in 1 day = 1/3 – 7/24 = 1/24
work A can do in 1 day: work B can do in 1 day: work C can do in 1 day
= 1/6 : 1/8 : 1/24 = 4 : 3 : 1
Amount to be paid to C = 3200 × (1/8) = 400

Correct Answer: D. Rs. 400 ✔

A. 5 hrs
B. 10 hrs
C. 15 hrs
D. 20 hrs

Correct Answer: C. 15 hrs ✔

A. 7.5 hrs
B. 5 hrs
C. 7 hrs
D. None of these

Correct Answer: A. 7.5 hrs ✔

A. 42/4 days
B. 41/4 days
C. 55 days
D. None of these

Correct Answer: B. 41/4 days ✔

A. 15 days
B. 10 days
C. 8 days
D. 20 days

(4/m)+(2/w) = 1/2 2/m = 1/5 1/m = 1/10 (4/10)+(2/w) = (1/2) 2/w = 1/10 2 women alone take 10 days.

Correct Answer: B. 10 days ✔

A. 32 hours
B. 48 hours
C. 3 days
D. 4 days

Part of task completed by A in a day = 1/x Part of task completed by B in a day = 3/x (B is thrice as efficient as A) (1/x)+(3/x) = 1 4/x = 1 x = 4 B completes 3/4th of the task in a day. He takes 4/3 days to complete the entire task. 4/3 days = (4/3*24) hours = 32 hours

Correct Answer: A. 32 hours ✔

A. 4(2/3) days
B. 4 days
C. 5(1/3) days
D. 1(1/3) days

(1/A)+(1/B) = (1/6) (1/B)+(1/C) = (1/12) (1/A)+(1/C) = (1/8) Solving the three equations,
(1/A)+(1/B)+(1/C) = (3/16) Together they take 16/3 = 5(1/3) days to complete the task.

Correct Answer: C. 5(1/3) days ✔

A. 12 days
B. 15 days
C. 16 days
D. 18 days

Correct Answer: C. 16 days ✔

A. 10 days
B. 11 days
C. 15 days
D. 20 days

Correct Answer: C. 15 days ✔

A. 6 days
B. 10 days
C. 15 days
D. 20 days

Work done by X in 4 days = ( 1/20X 4 ) = 1/5 Remaining work = (1 – 1/5 ) = 4/5 (X + Y)’s 1 day’s work = 1/20 + 1/12 = 8/60 = 2/15 Now, 2/15 work is done by X and Y in 1 day. So, 4/5 work will be done by X and Y in 15/2 X 4/5 = 6 days Hence, total time taken = (6 + 4) days = 10 days.

Correct Answer: B. 10 days ✔

A. 3 : 4
B. 4 : 3
C. 5 : 3
D. Data inadequate

Correct Answer: B. 4 : 3 ✔

A. 80 days
B. 100 days
C. 120 days
D. 150 days

Correct Answer: C. 120 days ✔

A. 8 days
B. 10 days
C. 12 days
D. 15 days

(A.+ B)’s 1 day’s work = ( 1/15 + 1/10 ) = 1/6 Work done by A and B in 2 days = ( 1/6 X 2 ) = 1/3 Remaining work = ( 1 – 1/6 ) = 2/3
Now, 1/15 work is done by A in 1 day. so 2/3 work will be done by A in ( 15 X 2/3 ) = 10 days Hence, total time taken = (10 + 2) = 12 days.

Correct Answer: C. 12 days ✔

A. 15 days
B. 20 days
C. 25 days
D. 30 days

(A + B)’s 1 day’s work = 1/10; C’s 1 day’s work = 1/50 (A + B + C)’s 1 day’s work = 1/10 + 1/50 = 6/50 = 3/25 Also, A’s 1 day’s work = (B + C)’s 1 day’s work
From (i) and (ii), we get : 2 x (A’s 1 day’s work) = 3/25 As 1 day’s work = 3/50 B’s 1 day’s work = 1/10 – 3/50 = 2/50 = 1/25 So, B alone could do the work in 25 days.

Correct Answer: C. 25 days ✔

A. 4 days
B. 6 days
C. 8 days
D. 12 days

(A + B + C)’s 1 day’s work = 1/6; (A + B)’s 1 day’s work = 1/8 (B + C)’s 1 day’s work = 1/12 (A + C)’s 1 day’s work = ( 2 X 1/6 ) – ( 1/8 + 1/12 ) = ( 1/3 – 5/24 ) = 3/24 = 1/8 So, A and C together will do the woirk in 8 days.

Correct Answer: C. 8 days ✔

A. Rs. 72
B. Rs. 92
C. Rs. 112.50
D. Rs. 116.50

Correct Answer: C. Rs. 112.50 ✔

A. Rs. 80
B. Rs. 115.20
C. Rs. 120
D. Rs. 125.40

For an income of Rs. 10, investment = Rs. 96.
For an income of Rs. 12, investment = Rs ( 96/10 X 12 )
= Rs. 115.20

Correct Answer: B. Rs. 115.20 ✔

A. 450
B. 500
C. 550
D. 600

C.P. of each share = Rs. (25 + 2% of 25) = Rs. 25.50.
So Number of shares = 12750/25.50 = 500.

Correct Answer: B. 500 ✔

A. Rs. 37.50
B. Rs. 40
C. Rs. 48
D. Rs 52

Submitted by: Name

Dividend on 1 share = Rs. ( 10/100 X 50 ) = Rs. 5. Rs. 12.50 is an income on an investment of Rs. 100. Rs. 5 is an income on an investment of Rs, ( 100 X 2/25 X 5 ) = Rs. 40. So Cost of 1 share = Rs. 40.

Correct Answer: B. Rs. 40 ✔

A. Rs. 10,000
B. Rs. 10,800
C. Rs. 14,400
D. Rs. 16,000

For an income of Rs. 12, stock needed = Rs. 100.
For an income of Rs. 1200, stock needed = Rs.( 100/12 X 1200 ) = Rs. 10,000.

Correct Answer: A. Rs. 10,000 ✔

A. Rs. 3100
B. Rs. 6240
C. Rs. 6500
D. Rs. 9600

Correct Answer: B. Rs. 6240 ✔

A. 7.50%
B. 8%
C. 9.70%
D. None of these.

By investing Rs. 1552, income = Rs. 128. By investing Rs. 97, income = Rs.( 128/1552 X 97 ) = Rs. 8. So Dividend = 8%

Correct Answer: B. 8% ✔

Option A: Rs. 16,500

Option B: Rs. 16,525.50

Option C: Rs. 16,537.50

Option D: Rs. 18,150

Correct Answer: Rs. 16,537.50 ✔

Option A: Rs. 565.25

Option B: Rs. 635

Option C: Rs. 662.02

Option D: Rs. 666.50

Correct Answer: Rs. 662.02 ✔

Option A: Rs. 9000.30

Option B: Rs. 9720

Option C: Rs. 10123.20

Option D: Rs. 10483.20

Correct Answer: Rs. 10123.20 ✔

Option A: Rs. 8600

Option B: Rs. 8620

Option C: Rs. 8800

Option D: Rs. 8840

Correct Answer: None of these ✔

Option A: Rs.21.60

Option B: Rs.24.00

Option C: Rs.25.20

Option D: Rs.27.80

Correct Answer: Rs.21.60 ✔

Option A: 4 : 3

Option B: 3 : 2

Option C: 6 : 5

Option D: 7 : 6

Correct Answer: 7 : 6 ✔

Option A: Rs.3502.80

Option B: Rs.3052.40

Option C: Rs.3054.8

Option D: Rs.3052.80

Correct Answer: Rs.3052.80 ✔

Option A: Rs.140

Option B: Rs.120

Option C: Rs.130

Option D: Rs.110

Correct Answer: Rs.120 ✔

Option A: Rs.18000

Option B: Rs.17000

Option C: Rs.18500

Option D: Rs.17500

Correct Answer: Rs.17000 ✔

Option A: Rs.7500

Option B: Rs.7000

Option C: Rs.8000

Option D: Rs.6500

Correct Answer: Rs.7500 ✔

Option A: Rs.10,840

Option B: Rs.10,720

Option C: Rs.10,560

Option D: Rs.10,280

Correct Answer: Rs.10,560 ✔

Option A: Rs.20043.94

Option B: Rs.18654.81

Option C: Rs.20264.46

Option D: Rs.19612.41

Correct Answer: Rs.20043.94 ✔

Option A: Rs.500

Option B: Rs.250

Option C: Rs.5012.50

Option D: Rs.5062.50

Correct Answer: None of these. ✔

Option A: Rs.2520

Option B: Rs.3120

Option C: Rs.3320

Option D: Rs.2760

Correct Answer: Rs.3120 ✔

Option A: 18% p.a.

Option B: 22% p.a.

Option C: 20% p.a.

Option D: 24% p.a.

Correct Answer: 20% p.a. ✔

Option A: 8% p.a.

Option B: 6% p.a.

Option C: 4% p.a.

Option D: 5% p.a.

Correct Answer: 5% p.a. ✔

Option A: Rs.4273

Option B: Rs.4613

Option C: Rs.4064

Option D: Rs.4266

Correct Answer: Rs.4266 ✔

Option A: Rs.18,828.80

Option B: Rs.19,828.80

Option C: Rs.18,028.80

Option D: Rs.17,828.80

Correct Answer: Rs.19,828.80 ✔

Option A: Rs.9630

Option B: Rs.9680

Option C: Rs.9610

Option D: Rs.9650

Correct Answer: None of these ✔

Option A: Rs.460

Option B: Rs.5640

Option C: Rs.5460

Option D: Rs.5604

Correct Answer: Rs.5460 ✔

Option A: 10

Option B: 11

Option C: 10.25

Option D: 10.15

Correct Answer: 10 ✔

Option A: Rs.150

Option B: Rs.140

Option C: Rs.130

Option D: Data insufficient for the answer

Correct Answer: Data insufficient for the answer ✔

Option A: Rs.2205

Option B: Rs.2200

Option C: Rs.2160

Option D: Rs.2040

Correct Answer: Rs.2205 ✔

Option A: Rs.482

Option B: Rs.424

Option C: Rs.842

Option D: Rs.512

Correct Answer: Rs.482 ✔

Option A: 8500

Option B: 8000

Option C: 8100

Option D: 8400

Correct Answer: 8000 ✔

Option A: Rs.10

Option B: Rs.2

Option C: Rs.5

Option D: Rs.3

Correct Answer: Rs.2 ✔

Option A: Rs.635.50

Option B: Rs.613.50

Option C: Rs.675.50

Option D: Rs.653.50

Correct Answer: Rs.635.50 ✔

Option A: Rs.81000

Option B: Rs.80000

Option C: Rs.75000

Option D: Rs.64000

Correct Answer: Rs.81000 ✔

Option A: Rs.1261

Option B: Rs.9261

Option C: Rs.9621

Option D: Rs.9162

Correct Answer: Rs.9261 ✔

Option A: Rs.8000

Option B: Rs.8400

Option C: Rs.7500

Option D: None

Correct Answer: Rs.8000 ✔

Option A: Rs.3000

Option B: Rs.3300

Option C: Rs.3600

Option D: Rs.3900

Correct Answer: Rs.3600 ✔

Option A: 1500

Option B: 1800

Option C: 2100

Option D: 1950

Correct Answer: 1500 ✔

Option A: Rs.4000

Option B: Rs.1000

Option C: Rs.1250

Option D: Rs.2000

Correct Answer: Rs.2000 ✔

Option A: Rs.12000

Option B: Rs.14200

Option C: Rs.17520

Option D: Rs.13500

Correct Answer: Rs.13500 ✔

Option A: 10%

Option B: 12%

Option C: 6%

Option D: 8%

Correct Answer: 12% ✔

Option A: 6 years

Option B: 1 year

Option C: 2 years

Option D: 4 years

Correct Answer: 4 years ✔

Option A: Rs.25600.24

Option B: Rs.32000.50

Option C: Rs.18060.36

Option D: Rs.18600

Correct Answer: Rs.25600.24 ✔

Option A: Rs.420

Option B: Rs.400

Option C: Rs.375

Option D: Rs.380

Correct Answer: Rs.400 ✔

Option A: 15%

Option B: 10%

Option C: 7 1/2 %

Option D: 8%

Correct Answer: 10% ✔

Option A: 1875/2029

Option B: 1/2.5

Option C: 1903/2156

Option D: 4/9

Correct Answer: 1875/2029 ✔

Option A: 8

Option B: 10

Option C: 12

Option D: Cannot be determined

Correct Answer: 8 ✔

Option A: Rs. 2.50

Option B: Rs. 3

Option C: Rs. 3.75

Option D: Rs. 4

Correct Answer: Rs. 3 ✔

Option A: Rs. 51.25

Option B: Rs. 52

Option C: Rs. 54.25

Option D: Rs. 60

Correct Answer: Rs. 51.25 ✔

Option A: Rs. 1550

Option B: Rs. 1650

Option C: Rs. 1750

Option D: Rs. 2000

Correct Answer: Rs. 1750 ✔

Option A: 6%

Option B: 8%

Option C: 10%

Option D: 12%

Correct Answer: 12% ✔

Option A: 5%

Option B: 6%

Option C: 10%

Option D: 15%

Correct Answer: 10% ✔

Option A: Rs 6.06%

Option B: Rs 6.07%

Option C: Rs 6.08%

Option D: Rs 6.09%

Correct Answer: Rs 6.09% ✔

Option A: Rs 6500

Option B: Rs 6565

Option C: Rs 65065

Option D: Rs 65650

Correct Answer: Rs 6500 ✔

Option A: Rs 230

Option B: Rs 232

Option C: Rs 600

Option D: Rs 832

Correct Answer: Rs 232 ✔

Option A: Rs 4500

Option B: Rs 5000

Option C: Rs 5500

Option D: Rs 6000

Correct Answer: Rs 5000 ✔

Option A: Rs 1575.20

Option B: Rs 1600

Option C: Rs 1625.80

Option D: Rs 2000

Correct Answer: Rs 1575.20 ✔

Option A: 7 years

Option B: 10 years

Option C: 15 years

Option D: 20 years

Correct Answer: 15 years ✔

Option A: Rs 100000

Option B: Rs 11000

Option C: Rs 120000

Option D: Rs 170000

Correct Answer: Rs 120000 ✔

Option A: Rs 900

Option B: Rs 1000

Option C: Rs 1050

Option D: Rs 1100

Correct Answer: Rs 1000 ✔

Option A: Rs 2518

Option B: Rs 2520

Option C: Rs 2522

Option D: Rs 2524

Correct Answer: Rs 2522 ✔

Option A: Rs 17423

Option B: Rs 18973

Option C: Rs 19448

Option D: Rs 19880

Correct Answer: Rs 19448 ✔

Option A: Rs 9000.30

Option B: Rs 9720

Option C: Rs 10123.20

Option D: Rs 10483.20

Correct Answer: None of these ✔

Option A: Rs 230

Option B: Rs 232

Option C: Rs 600

Option D: Rs 832

Correct Answer: Rs 232 ✔

Option A: Rs 50

Option B: Rs 60

Option C: Rs 61

Option D: Rs 600

Correct Answer: Rs 61 ✔

Option A: Rs 145

Option B: Rs 150

Option C: Rs 165

Option D: Rs 180

Correct Answer: None of these ✔

Option A: Rs.4400

Option B: Rs.4445

Option C: Rs.4460

Option D: Rs.4520

Correct Answer: Rs.4460 ✔

Option A: Rs.1500

Option B: Rs.2000

Option C: Rs.2500

Option D: Rs.3000

Correct Answer: Rs.2500 ✔