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**RRB Practice Questions | Mathematics – Day-14**

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**1) The total monthly stipend of 16 UG and 8 PG students in a college is Rs. 136000. If every PG student earns Rs.2000 more than a UG student then what is the monthly stipend of a PG student?**

a) Rs. 5000

b) Rs. 6000

c) Rs. 7000

d) Rs. 8000

**2) L can do a work in 12 days while M can do in 18 days. They work together for 4 days and the rest of the work is done by N in 4 days. If they get paid Rs. 900 for the whole work, how should they divide the money?**

a) Rs. 300, Rs. 200 and Rs. 400

b) Rs. 200, Rs. 200 and Rs. 500

c) Rs. 500, Rs. 200 and Rs. 200

d) Rs. 250, Rs. 250 and Rs. 400

**3) A sum of Rs. 100 was paid for a work which A can do in 12 days, B in 10 days, B and C in 5 days and D in 15 days. How much will C receive if all the four work together?**

a) Rs. 30

b) Rs. 32.54

c) Rs. 28.57

d) Rs. 25.44

**4) A, B and C work together in a firm where A and B earn together Rs. 6500 and B and C together earn Rs. 9500. The total salary of A,B and C is Rs. 11500. What is the income of A and C together?**

a) Rs. 5000

b) Rs. 2000

c) Rs. 7000

d) Rs. 9500

**5) A, B and C accepted to do a piece of work for Rs. 1160. A and B were assigned to do 13/29 of the** **work and B and C were assigned to do 10/29 of work. What amount should A be paid?**

a) Rs. 860

b) Rs. 760

c) Rs. 554

d) Rs. 458

**6) Lalitha can stitch 15 salwars in 5 days while Kamala can stitch 15 salwars in 4 days. Both of then finish the work together and get paid Rs. 1755. What is the share of Lalitha?**

a) Rs. 780

b) Rs. 890

c) Rs. 920

d) Rs. 975

**7) A can do 3/5 of work in 3 days and B can do 3/7 of the same work in 6 days, how much will A get if both together are paid Rs. 247?**

a) Rs. 182

b) Rs. 65

c) Rs. 185

d) Rs. 95

**8) A alone can do a piece of work in 12 days and B alone in 14 days. They both undertook to do it for Rs. 8910. With the help of C they completed the work in 4 days. How much should C and A be paid together?**

a) Rs. 6990

b) Rs. 4980

c) Rs. 6950

d) None of these

**9) A can do a piece of work in 8 days and B can do the same work in 6 days. After working together for 4 days they leave. The remaining work is completed by C in 3 days. If they get Rs. 5500 for the whole work, the daily wages of B and C in total are (answer in approx.):**

a) Rs. 517

b) Rs. 845

c) Rs. 560

d) None of these

**10) 8 boys and 4 men complete a project in 20 days while 3 men and 10 boys complete the same work in 24 days. If each man gets Rs. 80 per day, how much should a boy paid per day?**

a) Rs. 10

b) Rs. 12

c) Rs. 18

d) none of these

**Answers :**

**1) Answer: c)**

16 U + 8 P =136000

P = U + 2000

U = P – 2000

16(P – 2000) + 8P = 136000

24P – 32000 = 136000

24P = 168000

P = Rs. 7000

**2) Answer: a) **

Work done by L and M in 4 days =(1/12 +1/18) x 4 = 5/9

Remaining work = 1-5/9 = 4/9

N alone can do the work in 9/4 x 4 = 9 days

Ratio of their share of work = 4/12 : 4/18 : 4/9

=3:2:4

Rs. 900 is divided as Rs. 300, Rs. 200 and Rs. 400

**3) Answer: c)**

A one day work = 1/12

B one day work = 1/10

B + C one day work = 1/5

C one day work = 1/5 – 1/10 = 1/10

D one day work = 1/15

A + B + C + D one day work = 1/8 + 1/10 + 1/10 + 1/15

=7/20

Out of 7/20 of work, work done by C = 1/10

Out of Rs. 100 paid for the work, C will receive [(1/10) / (7/20)] x 100

= Rs. 28.57

**4) Answer: c)**

C’s earnings = 11500 – 6500 = Rs. 5000

B’s earnings = 9500 – 5000 = Rs. 4500

A’s earnings = 6500 – 4500 = Rs. 2000

Sum of A and c’s salary = 2000 + 5000 = Rs. 7000

**5) Answer: b) **

Work done by A = ( 1 – 10/29) = 19/29

A : (B+C) =19/29 : 10/29 = 19:10

So A’s share = Rs. (19/29) x 1160

= Rs. 760

**6) Answer: d)**

Lalitha’s wage : kamala’s wage = lalitha’s 1 day work : kamala’s 1 day work

= 1/5 : 1/4 = 5 : 4

Lalitha’s share = (5/9) x 1755 = Rs. 975

Note: here the information of 15 salwars is to be ignored.

**7) Answer: a) **

Whole work is done by A in (5/3)x3 = 5 days

Whole work is done by B in ( 7/3)x6 = 14 days

A’s wage : B’s wage = A’s 1 day work : B’s 1 day work

= 1/5 : 1/14

=14:5

A’s share = (14/19) x 247 =Rs. 182

**8) Answer: d) **

C’s one day work = 1/4 – ( 1/12 + 1/18)

= 1/4 – 5/36 = 1/9

A’s wage : B’s wage : C’s wage = 1/12 : 1/18 : 1/9

= 3:2:4

C’s share = (4/9) x 8910 = Rs. 3960

A’s share = (3/9) x 8910 = Rs. 2970

Total = Rs. 6930

**9) Answer: a)**

Part of work done by A = (1/8) x 4 = 1/2

Part of work done by B = (1/6) x 4 = 2/3

Part of work done by C = 1 – (1/2 + 2/3) = 1/6

A’s share : B’s share : C’s share = 1/2 : 2/3 : 1/6 = 6:4:1

B’s share = (4/11) x 5500 = Rs. 2000

C’s share = (1/11) x 5500 = Rs. 500

B’s daily wages = 2000/4 = Rs. 500

C’s daily wages = 500/3 = Rs. 16.66

Total = 500 + 16.66 = 516.66 = Rs. 517

**10) Answer: d) **

8B + 4M = 1/20

10B + 3M = 1/24

Solving the above equations,

M = 1/96

B = 1/960

B :M = 1:10

Boy’s wage = (1/10) x men’s wage

= (1/10) x 80 = Rs.8