**Q4. The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E Whose weight is 3 kg more than that of D, replaces A, then the average weight of B, C, D and E becomes 79 kg. The weight of A is:**

(a) 76

(b) 65

(c) 75

(d) 50

**Q5. There were 35 boys in a hostel. If the number of boys increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Re 1. Find the original expenditure of the mess.**

(a) 430

(b) 440

(c) 420

(d) 350

**Q6. The average monthly salary of the workers in a workshop is Rs. 8500. If the average monthly salary of 7 technicians is Rs. 10000 and average monthly salary of the rest is Rs. 7800, the total number of workers in the workshop is:**

(a) 18

(b) 20

(c) 22

(d) 24

**Q7. The average age of three boys is 16 years. If their ages are in the ratio 4 : 5 : 7, then the age of the youngest boy is:**

(a) 8 years

(b) 9 years

(c) 12 years

(d) 16 years

**Q8. What quantity of water should be taken out to concentrate 16 litres of 30% acidic liquid to 40% acidic liquid?**

(a) 5l

(b) 6l

(c) 4l

(d) 8l

**Q9. Two numbers are less than a third number by 30% and 37% respectively. How much percent is the second number less than the first?**

(a) 10%

(b) 15%

(c) 20%

(d) 25%

**Q10. Anupam purchased 5 Lemons for Rs. 4. He sold all the Lemons and earned 75% Profit. At what rate did he sell the Lemons?**

(a) 4.1RS

(b) 1.4RS

(c) 2RS

(d) 3RS

**Q11. A dealer wants to earn 20% profit on an article after offering 25% discount to the customer. If the cost price of an item is Rs. 400, then the mark price (label price) of the article would be**

(a) 500

(b) 400

(c) 440

(d) 640

**Q12. P, Q and R can do a piece of work in 10, 12 and 15 days respectively, they start working together but R leaves after working 3 days and Q, 4 days before the completion of work. In how many days the work was finished?**

(a) 7(2/11) days

(b) 6(2/11) days

(c) 8(2/11) days

(d) 9(2/11) days

**Q13. A does 4/5th of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?**

(a) 47 (1/2) days

(b) 36 (1/2) days

(c) 37 (1/2) days

(d) 39 (1/2) days

**Q14. In 1 minute 3/7 of a bucket is filled. The rest of the bucket can be filled in.**

(a) 2 minutes

(b) 4/3 minutes

(c) 7/3 minutes

(d) None of these

**Q15. Two pipes can fill a tank in 20 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, then the tank will be filled in**

(a) 10 minutes

(b) 12 minutes

(c) 15 minutes

(d) 25 minutes

**SOLUTIONS**

**S4. Ans.(c)**

**Sol.**A + B + C = (3 × 84) kg = 252 kg

A + B + C + D = (4 × 80) kg = 320 kg

D = (320 – 252) kg = 68 kg

E = (68 + 3) kg = 71 kg

B + C + D + E = (4 × 79) kg = 316 kg

B + C + D = (316 – 71) kg = 245 kg

A = (320 – 245) kg = 75 kg

**S5. Ans.(c)**

**Sol.**Suppose the average expenditure was Rs. x. Then total expenditure = 35x.

When 7 more boys join the mess, total expenditure = 35x + 42

Now, the average expenditure

=(35x+42)/(35+7)=(35x+42)/42

Now, we have (35x + 42)/42 = x – 1

Or, 35x + 42 = 42x – 42

Or, 7x = 84

⇒ x = 12

Thus the original expenditure of the mess

= 35 × 12 = Rs. 420

**S6. Ans.(c)**

**Sol.**Let the total number of workers be x. Then,

(7 × 10000) + (x – 7) 7800 = 8500x

⇒ 70000 + 7800x – 54600 = 8500x

⇒ 700x = 15400

⇒ x = 22

∴ Total number of workers in the workshop = 22

**S7. Ans.(c)**

**Sol.**Sum of the ages of 3 boys = (16 × 3) = 48 years

Ratio of their ages = 4 : 5 : 7

Age of the youngest = (48×4/16) = 12 years

**S8. Ans.(c)**

**Sol.**Quantity of evaporated water

= Original quantity of solution ((% Diffrence of sugar)/(Final % of sugar))

= 16 ((40-30)/40)=4l

**S9. Ans.(a)**

**Sol.**Let the 3rd number be 100.

Then, 1st number = 70, 2nd number = 63

2nd number is less than 1st by = (7/70×100)%

= 10%

**S10. Ans.(b)**

**Sol.**Cost price for 5 Lemon is Rs. 4

So SP for 5 Lemon = 4 × ((100 + 75))/100 = Rs. 7

So, SP for 1 Lemon = 7/5 = Rs. 1.4

**S12. Ans.(b)**

**Sol.**Let the work be finished in x days.

x/10+(x-4)/12+3/15=1

or, x = 62/11 days

**S13. Ans.(c)**

**Sol.**4/5 work is done by A in 20 days.

Whole work is done by A in

= (20×5/4) = 25 days

1/5th work is done by (A + B) in 3 days.

Whole work is done by (A + B) in (3 × 5) days = 15 days.

B’s 1 day’s work = (1/15-1/25)=2/75

1 B alone can finish the work in = 75/2=37 1/2 days

**S14. Ans.(b)**

**Sol.**Part filled in 1 min = 3/7

Remaining part = (1-3/7)=4/7

Let the required time be x min.

More part, more time taken.

⇒xy/(y-x)

⇒3/7 x=(4/7×1)

⇒ x = 4/3 min

**S15. Ans.(b)**

**Sol.**Part filled by both pipes in 1 min

=(1/20+1/30)=5/60=1/12

Time taken to fill the tank = 12 minutes.