**Find solutions for all the questions at the end of each set:**

### Set A

1. A, B and C contract a work for 30,000. A and B complete (3/5)th of the work and then ‘C’ takes it over and finishes the work. How much does ‘C’ get?

(A) Rs.18,000

(B) Rs.12,000

(C) Rs.10,000

(D) Rs.20,000

2.A positive integer ‘a’ is a multiple of 5. If ‘a’ is divided by 4, the quotient and remainder are respectively q and 2. If 4q is divided by 5, the remainder is

(A) 0

(B) 1

(C) 2

(D) 3

3. What is the maximum number of people who can share 24 five-rupee notes, 15 ten-rupee notes and 18 twenty-rupee notes equally?

(A) 3

(B) 12

(C) 24

(D) 30

4. Find the greatest number that will divide 148, 246 and 322 leaving remainder 4, 6 and 10 respectively.

(A) 22

(B) 24

(C) 28

(D) 32

5.A and B can do a piece of work in 45 and 40 days respectively. They began the work together but A leaves after some days and B finished the remaining work in 23 days. Then A has worked for

(A) 9

(B) 21

(C) 32

(D) None of these

6. A tap can fill a tank in 18 minutes and another can empty it in 9 minutes. If the tank is already half full and both the taps are opened together, the tank will be

(A) Filled in 9 minutes

(B) Filled in 8 minutes

(C) emptied in 12 minutes

(D) emptied in 9 minutes

7. A and B together can do a work in 12 days and A alone can complete the work in 36 days. Then the number of days that B alone will take to complete the work is

(A) 18

(B) 15

(C) 24

(D) 36

8. If the net discount is one-forth of the marked price, then the ratio of the marked price to the selling price of an item is

(A) 3 : 4

(B) 4 : 3

(C) 4 : 1

(D) 4 : 5

9. Anu buys a box costing Rs. 981. The rate of sales tax is 9%. She tells the shopkeeper to give a discount on the price of the box to such an extent that she has to pay Rs.981 inclusive of sales tax. The discount required is

(A) Rs. 900

(B) Rs. 81

(C) Rs.90

(D) Rs.100

10. A refrigerator is marked at Rs. 9,500 and available at a discount of 10%. The shopkeeper gives the buyer another off-season discount and sells the refrigerator for Rs.7,695. Then the off-season discount is

(A) 9%

(B) 10%

(C) 7%

(D) 8%

Answers and Solution:

1. (B)

Work done by A and B = 3/5

work done by C = 1-3/5 = 2/5

Amount paid to C = 30000*2/5 = 12000

2. (D)

3. (A)

Required number is

= HCF of 24,15 and 18

= 3

4. (B)

Greatest number that will divide 148,246 and 322 leaving remainders 4,6 and 10 respectively

= HCF of 144,240 and 312

= 24

5. (A)

6. (D)

7. (A)

8. (B)

let marked price = x

discount price - 1/4 x

selling price - x - 1/4 x = 3/4 x

Required ratio = marked price : selling price

= x : 3/4 x

= 4:3

9. (B)

sale price = 981

tax = 9%

cost price = 981*100/109

= 900

marked price = 981

required discount = 981-900 = 81

10. (B)

Marked price = 95000

= 9500*90/100*(100-x)/100 = 7695

x = 10%

**Find solutions for all the questions at the end of each set:**

### Set B

1. A car runs along the four sides of a square field at the speed of 20 km/hr, 30 km/hr, 40 km/hr and 60 km/hr. Find the average speed (in km/hr) of the car around the field.

(A) 32

(B) 34

(C) 38

(D) 42

2. If 8 men or 12 boys can do a piece of work in 16 days, the number of days required to complete the work by 20 men and 6 boys?

(A) 5 1/3

(B) 3 1/2

(C) 8 1/3

(D) 7 1/3

3. A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days B could finish the work?

(A) 48 days

(B) 24 days

(C) 16 days

(D) 12 days

4. A ruby stone was bought for Rs.1600 at Jaipur. A sum of Rs.2400 was spent on making a ring with the ruby stone. It was advertised for sale of Bombay for Rs.7800. If a discount of 10% was given, then the percentage profit made was:

(A) 55%

(B) 68.5%

(C) 75.5%

(D) 80%

5. A person bought 76 cows and sold 20 cows at 15% profit, 40 cows at 19% profit and remaining 16 cows at 25% profit and got a profit of Rs.6570 as a whole. The cost price of each cow is:

(A) Rs.450

(B) Rs.425

(C) Rs.420

(D) Rs.400

6. A cyclist in a fog passed a man running at the rate of 6 km/hr in the same direction. He could see the cyclist for 5 minutes and it was visible to him up to a distance of 100 metres. What was the speed of the 100 metres. What was the speed of the cyclist?

(A) 7.2 km/hr

(B) 6 km/hr

(C) 9 km/hr

(D) None of these

7. Two pipes can separately fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 full a leak develops in the tank through which 1/3 of the water supplied by both the pipes leak out. What is the total time taken to fill the tank?

(A) 12 h

(B) 16 h

(C) 18 h

(D) 15 h

8. A person sells his table at a profit of 12.5% and the chair at a loss of 8(1/3)% but on the whole he gains Rs.25. On the other hand if he sells the table at a loss of 8(1/3)% and the chair at a profit of 12.5% then he neither gains nor loses. Find the cost price of the table.

(A) Rs. 300

(B) Rs.360

(C) Rs.540

(D) Rs.400

9. A train after travelling 50 km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late. Had the accident occurred 24 km further, it would have reached the destination only 25 minutes late. Find the total distance of travelling.

(A) 134 km

(B) 124 km

(C) 96 km

(D) 120 km

10. The speed of the current is 4 km/hr. A boat goes 10 km upstream and come back to the starting point in 80 min. What is the speed of the boat in still water?

(A) 20 km/hr

(B) 16 km/hr

(C) 18 km/hr

(D) 22 km/hr

ANSWERS KEY:

1- (A)

SPPED TIME

20 6

30 4 LCM = 120

40 3

60 2

=15 hours

Average speed = 120*4/15 = 32 km/hr

2- (A)

3- (A)

4- (C)

cost price of Rubi stone = Rs.1600

cost price of Ring = Rs.2400

Actual cost price = Rs. 4000

Selling price = (7800*90/100)= 7020

profit percent = (7020-4000)/4000 * 100=75.5%

5- (A)

Let the cost price of cow = 100

so, overall profit

= (20*15+40*19+16*25) = 1460

If total price is 1460 then cost price =100

if profit is 6570 then cost price = 100/1460 *6570 = 450

6- (A)

7- (B)

8- (B)

9- (A)

10- (B)

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