**1. A pipe can empty a tank in 40 minutes. A second pipe with diameter twice much as that of the first is also attached with the tank to empty it. The two together can empty the tank in:**

(a)8.5 minutes

(b)13.33 minutes

(c)30 minutes

(d)8 minutes

(e)None of these

**1. (d)**

**Here volume of water emptied by the second pipe will be 4 times to that of first**

**Hence, Time take will be 1/4 of the first pipe.**

**When both the pipes are open the part of the tank emptied in 1 minute**

**= 1/40 + 1/10 = 1/8**

**Hence the tank will be emptied in 8 minutes.**

**2. A can do 1/2 of a piece of work in 5 days. B can do 3/5 of the same work in 9 days and C can do 2/3 of that work in 8 days. In how many days can three of them together do the work?**

(a)3

(b)5

(c)4.5

(d)4

(e)None of these

**2. (d)**

**(A+B+C) one day’s work =1/10+ 1/15+1/12= 1/4**

**Hence together they complete the work in 4 days**

**3. If the marked price of 30 articles is equal to selling price of 40 articles, then find the % discount?**

(a)25%

(b)33.33%

(c)75%

(d) 20%

(e)None of these

**3. (a)**

**MP of 30 = SP 40**

**MP/SP = 40/30**

**Discount = (10/40) * 100= 25%**

**4. The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. If the length of its one diagonal is 26 cm, the length of the other diagonal will be:**

(a)5 cm

(b)6.5 cm

(c)10 cm

(d)26 cm

(e)None of these

**4. (a)**

**Area =base * height =6.5*10 = 65cm2**

**Let the diagonal of rhombus be d1 and d2.**

**Area = 1/2 d1d2 = 65**

**= ½* 26* d2 = 65**

**d2 = 5**

**5. The average age of 30 boys in a class is 15 Years. One boy, aged 20 years, left the class, but two new boys come in his place whose ages differ by 5 years. If the average age of all the boys now in the class becomes 15 years, the age of the younger new comer is:**

(a)20 year

(b)15 year

(c)40 year

(d)8 year

(e)None of these

**5. (b)**

**Let the age of younger one be x and other is x+5**

**so, x+(x+5) = (31*15)-(30*15-20)=35**

**x= 15**

**6. The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. The ratio of their corresponding heights is:**

(a)9 : 7

(b)7 : 3

(c)3 : 7

(d)81 :49

(e)None of these

**6. (a)**

**h1/h2=b1/b2**

**1/2*b1*h1∶1/2*b2*h2 = 81 : 49**

**h1^2 ∶h2^2=81∶49**

**h1 : h2 = 9 : 7**

**7. If a : b = 2 : 3 and b : c = 4 : 5, find a^2 : b^2 : c^2 ?**

(a)4 : 9 : 45

(b)16 : 36 : 45

(c)16 : 36 : 20

(d)4 : 36 : 40

(e)None of these

**7. (e)**

**a:b:c = 8:12:15**

**a^2: b^2 :c^2: =64:144:225**

**8. A dealer offer a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is Rs. 800, then the cost price of the article is:**

(a)Rs.900

(b)Rs.800

(c)Rs.700

(d)Rs.600

(e)None of these

**8. (d)**

**SP = 800 * 90/100 = 720**

**CP = 720 * 100/120 = 600**

**9. The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres. The ratio of their inner radii is**

(a) 4 : 9

(b) 16 : 81

(c) √2:√3

(d) 2 : 3

(e) None of these

**9. (d)**

**r13 : r23 = 6.4 : 21.6**

**r1 : r2 = 4 : 6 = 2 : 3**

**10. Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours, pipe A is closed, then the other pipe will fill the tank in**

(a) 6 hours

(b) 3.5 hours

(c) 4 hours

(d) 2.5 hours

(e) None of these

**10. (d)**

**If both pipes are open,**

**1/8+1/6=7/24**

**For 2 hours = 2 * 7/24 = 7/12 tank is filled**

**Remaining empty tank = 1- 7/12 = 5/12**

**Therefore, B can fill the remaining tank in 5/12 * 6 = 2.5 hours**