**1. The ratio of the no. of boys to the no. of girls in a school of 720 students is 3: 5. If 18 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of the no. of boys to the no. of girls may change to 2 : 3.**

**3. What is the amount of compound interest and effective rate of interest if an amount of Rs.20000 is deposited in a bank for one year at the rate of 8% per annum compounded semi annually.**

**4. 3 men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?**

**5. Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A water pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is opened. In how much time, the tank is full?**

**6. Abhishek purchased 140 shirts and 250 trousers at the rate of Rs. 450 and Rs. 550 respectively. What should be the overall average selling price of shirts and trousers so that 40% profit is earned? (Rounded off to next integer).**

**7. In a college the students in Arts and Commerce faculties were in the ratio of 4:5 respectively. When 65 more students joined Commerce faculty the ratio became 8:11 respectively. How many students are there in Arts faculty?**

**8. An amount of Rs. 10,000 becomes Rs. 14,641 in two years if the interest is compounded half yearly. What is the rate of compound interest % per annum?**

**9. Area of a rectangle is equal to the area of the circle whose radius is 21 cm. If the length and the breadth of the rectangle are in the ratio of 14:11 respectively, what is its perimeter?**

**10. Prashant purchased a TV set for Rs. 12,500 and spent Rs. 300 on transportation and Rs. 800 on installation. At what price should he sell it so as to earn an overall proﬁt of 15%?**

**11. Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?**

**12. A 240-metre long train running at the speed of 60 km/hour will take how much time to cross another 270 metre long train running in opposite directions at the speed of 48 km/hour?**

**13. Sarita started a boutique investing an amount of Rs. 50,000. Six months later Meeta joined her with an amount of Rs. 80,000. At the end of one year they earned a profit of Rs. 18,000. What is Sarita’s share in the profit?**

**14. A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A and B together make 100 baskets?**

**15. Samir’s age is one-fourth of his father’s age and two third of his sister Reema’s age. What is the ratio of the ages of Samir, Reema and their father respectively?**

**Answers & Explanation:**

**1.(C) The ratio of the no. of boys to the no. of girls = 3 : 5**

**Sum of the ratios = 3 + 5 = 8**

**So, the no. of boys in the school = (3 × 720)/8 = 270**

**And the no. of girls in the school = (5 × 720)/8 = 450**

**Let the no. of new boys admitted be x, then the no. of boys become (270 + x).**

**After admitting 18 new girls, the no. of girls become 450 + 18 = 468**

**According to given description of the problem, (270 + x)/468 = 2/3**

**or, 3 (270 + x) = 2 x 468**

**or, 810 + 3x = 936 or, 3x = 126 or, x = 42.**

**Hence the no. of new boys admitted = 42.**

**2.(A) 7(x+2p)^2+5p^2= 35px+117 p^2**

**7x^2+33p^2+28px = 35px+ 117 p^2**

**x^2-px+12p^2 = 0 **

**on solving x= 4p,-3p**

**3.(A) Interest = 20000[(1+4/100)^2-1]= 1632**

**Efeective rate of interst = 1632/20000*100= 8.16%**

**4.(B) Work done by 3 men in 2 days = (1/6x 2 )=1/3.**

** Remaining work = (1 – 1/3)= 2/3**

** Now 3 men’s 1 day’s work =1/6**

** 1 man’s 1 day’s work = 1/18**

** 6 men’s 1 day’s work = (6 x 1/18=1/3**

** Now, 1/3 work is done by them in 1 day.**

** 2/3 work is done by them in (3 x2/3)= 2 days.**

**5.(B) Part filled in 7 min = 7[ 1/36 + 1/45] = 7/20**

**Remaining part = [ 1- 7/20] = 13/20**

**Net part filled in 1 min. When A,B and C are opened**

**= [ 1/36 + 1/45 + 1/30 ] = 1/60**

**Now, 1/60 part is filled in 1 min.**

**13/20 part is filled in [60×13/20] = 39 min**

**Total time taken to fill the tank = (39 + 7) min. = 46 min. **

**6. (C); CP of 140 shirts and 250 trousers **

**= Rs (140 * 450 + 250 * 550) **

**= Rs. (63000 + 137500) = Rs 200500 **

**SP for 40% profit = Rs (140/100 ×200500)=280700 **

**Average selling price = Rs (280700/(140+250) )=Rs.720 **

**7. (A): Let the initial number of students in Arts and Commerce faculties be 4x and 5x respectively. **

**According to the question, **

** 4x/(5x+65)=8/11 **

**44x = 40x + 520 **

**= x = 520/4 = 130 **

**Number of students in Arts faculty = 4 * 130 = 520 **

**8. (B) Time = 4 half years **

**Rate = R% per half year **

**A = P (1+R/100)^T **

**14641 = 10000 (1+R/100)^4 **

**(1+R/100)^4 = 14641/10000= (11/10)^4 **

**1+R/100=11/10 ? R/100=1/10 **

** R =10% **

** Rate % per annum = 20% **

**9. (D); Area of rectangle = Area of circle **

**= 22/7 * 21 * 21 = 1386 sq.cm **

**Let the length and breadth of rectangle be 14x and 11x cm respectively. Then, **

**14x * 11x = 1386 **

** x^2=1386/(14 ×11)=9 **

** x = v9=3 **

** Perimeter of rectangle = 2(14x + 11x) **

**= 50x = 50 * 3 = 150cm. **

**10.(C); Total cost of TV = Rs (12500 = 300 + 800) = Rs 13600 **

** For a profit of 15% **

**Selling price = Rs. (115/100 ×13600)=Rs.15640 **

**11. (B); required time = LCM of 24, 36 and 48 second = 144 sec. = 2 min 24 sec. **

**12. (A); Relative speed = (60 + 48) kmph = 108 kmph **

**= (108 ×5/18) m/sec = 30m/sec **

**Total distance = (240 + 270) metre = 510 metre **

**Time taken in crossing = (510/30) = 17 seconds **

**13. (D); Ratio of equivalent capitals of Sarita and Neeta for 1 month = 50000 * 12 : 80000 * 6 **

**Sarita’s share = Rs (5/9 ×18000) = Rs. 10000 **

**14. (E) A’s 1 day’s work = 1/6 **

**B’s 1 day’s work = 1/12 **

**(A +B)’s 1 day’s work = 1/6 + 1/12 = 2 + 1/12 = 1/4 **

**A and B together will make 100 baskets in 4 days. **

**15. (C); Samir’s age = x years **

**His father’s age = 4x years **

**Reema’s age = 3/2x years **

**Required ratio = x : 3x/2 : 4x = 2: 3 : 8 **

**"Did you Know? In this pack you will get All new content we launch in the next 1 months"**

**This is the most recommended and NRA-CET ready Pack!
Use Code 'DREAM' to avail at the best price today
This package Includes IBPS PO Study Material - Subscribe Now**

**About Bank Mahapack**

If you are preparing for more than 1 **Banking & Insurance exams** then this is the pack we recommend you buy.

It is most cost-effective and you get access to 100% digital content for Bank & Insurance exams on Adda247.

**Banking & Insurance Exams Covered in this Pack**

Additionally, you can crack any private bank job exam with content in this pack.

**Bank & Insurance Mahapack Highlights **

- Structured course content
- Recorded classes available if you miss any live class
- Previous Years’ Papers of all upcoming exams.
- Full Length Mocks based on the latest pattern with detailed solutions (video solutions for certain topics)
- Topic level knowledge tests
- Strategy sessions, time management & Preparation tips from the experts

**Validity: 1 Month**