**1.The ratio of present ages of Manisha and Nitisha is 5:7. Before one year Manisha's age was 3/2 of Nitisha's present age. Find the difference b/w their present ages**

**ANS: 2/7 years**

**2 A vessel contains 350 ltrs of water. Its 3/10 empty. How much more water can be filled in it.?**

**ANS:150**

**3.A completes a piece of work in 10 days, and B completes the same work in 18 days. Both A and B started the work, but A left after some days. Now B completed the remaining work in 6 4/5 days. Find the number of days after which A left?**

**ANS: 4 days**

**4.A bottle contains a mixture of alcohol, acid and water in the ratio 1 : 2 : 3, while another bottle contains the same in the ratio 2 : 3 : 4. If both the solutions are mixed in the ratio 5 : 9, then the percentage of acid in the final solution is**

**ANS: 33.33%**

**5.Find out the number of words consisting of 3 consonants and 2 vowels out of 8 consonants and 3 vowels available.**

**ANS: 20160**

**6.The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If the perimeter is 52cm, then the length of the smallest side is**

**ANS: 12 cm**

**7.Ques.3 Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7 : 4 : 3. What is the share of a woman?**

**ANS: Rs 336**

**8.124 215 342 511 ? 999**

**1) 695**

**2) 625**

**3) 728**

**4) 806**

**5) 573**

**9. 516 256 126 61 28.5 ?**

**1) 12.25**

**2) 16.75**

**3) 14.25**

**4) 20.20**

**5) 18.7**

**10. 7 21 50 109 ? 467**

**1) 198**

**2) 228**

**3) 372**

**4) 402**

**5) 275**

**SOLUTIONS**

**1. 5x-1/7x-1= 3/2*7X/7x-1**

**M age=5/7 yrs**

**N age=1 yrs**

**Difference is 2/7 yrs**

**2. empty : filled = 3 : 7 , 7x=350 , x=50 , 3x=150**

**3. (1/10 + 1/18) * x + 1/18 * 34/5 = 1 ;**

**(1/10 + 1/18) * x = 1 – 17/45**

**14/90 * x = 28/45**

**4.Ratio of acid to alcohol+water in 1st solution = 2 : (1+3) = 1 : 2**

**Ratio of acid to alcohol+water in 2nd solution = 3 : (2+4) = 1 : 2**

**They are mixed in ratio 5 : 9**

**So ratio of acid to alcohol+water in final solution = 1/3 * 5 + 1/3 * 9 : 2/3 * 5 + 2/3 * 9 = 1 : 2**

**So, percentage of acid = 1/(1+2) * 100 = 100/3 %**

**5.For consonants = 8C3 and for vowels = 3C2**

**And for 5 words arrangement = 5!**

**So total 8C3 * 3C2 * 5!**

**6.Ratio of sides of the triangle = 1/2 : 1/3 : 1/4 = 6: 4: 3**

**Let the sides be 6k, 4k and 3k respectively.**

**13 K = 52**

**K = 4**

**Sides are 24 cm, 16cm and 12cm.**

**7. share of each women = 1680/5 =336**

**8. The series is**

**5^3 – 1 = 124**

**6^3 – 1 = 215**

**7^3 – 1 = 342**

**8^3 – 1 = 511**

**9^3 – 1 = 728**

**10^3 – 1 = 999**

**Reqd answer = 728**

**9. ANS: 12.25**

**10. ANS: 228**