**Maths Quiz of the Day – II For IBPS RRB Clerk Mains 2019 : 29 -08 -2019**

**Q.1 The length of a rectangle is 60% of the diagonal of a square of area 2025 m ^{2}, then find area of rectangle if it’s perimeter is 98 √2 m?**

(1) None of these

(2) 1228 m

^{2}(3) 1188 m

^{2}(4) 1268 m

^{2}(5) 1398 m

^{2}**Q.2 Find the cost of carpeting a room 17m long and 9m wide with a carpet 60 c.m broad at 40 paise per meter.**

(1) 102 Rs.

(2) 108 Rs.

(3) 98 Rs.

(4) None of these

(5) 124 Rs.

**Q.3 How many metres of cloth 11m wide will be required to make a conical tent, the radius of whose base is 7m and height is 24m ?**

(1) None of these

(2) 70m

(3) 55m

(4) 50m

(5) 60m

**Q.4 The ratio of the radius of two right circular cylinders (P and Q) is 4:7. The ratio of height of cylinders P to Q is 5:2. What is the ratio of volumes of cylinders P to Q ?**

(1) 41:49

(2) 40:51

(3) 43:47

(4) 7:8

(5) None of these

**Q.5 A cycle travels 8.8 km in 4000 revolution of wheels. How much should be the diameter of the wheels to cover double distance in same revolutions ?**

(1) 1.8m

(2) 1.6m

(3) None of these

(4) 1.4m

(5) 0.7m

**Q.6 A and B started a business in partnership by investing in the ratio of 7:9. After 3 months A withdraw 2/3 of its investment and after 4 months from the Beginning B withdraw 33 1/3% of its investment. If a total earned profit is Rs.20402 at the end of 9 months, find the share of each in profit.**

(1) Rs.7070, Rs.13332

(2) Rs.6110, Rs.11110

(3) Rs.9006, Rs.11396

(4) Rs.7090, Rs.13312

(5) Rs.9810, Rs.10,592

**Q.7 P,Q and R started a business by investing Rs 20000, Rs 28000 and Rs 36000 respectively. After 6 months, P and Q withdraw an amount of Rs 8000 each and R invested an additiional amonunt of Rs 8000. All of them invested for equal periods of time. If at the end of the year, Q got Rs 23652 as his share of profit, what was them sum of total profit earned by P and R ?**

(1) Rs 55192

(2) Rs 56216

(3) Rs 52414

(4) Rs 48160

(5) None of these

**Q.8 Soni and Tina entered into a partnership for a year in which Soni invested Rs 120000 and Tina invested Rs 70000. After 4 months, Soni invested Rs 80000 more whereas. After 5 months, Tina invested Rs 30000 more. When two months were left Shweta also joined investing Rs 400000 as her contribution. If the profit for the year was 12.5% of Rs 2515200, find the sum of share of Soni and Tina ?**

(1) Rs 240400

(2) Rs 210400

(3) Rs 220400

(4) Rs 23040

(5) None of these

**Q.9 Three men P, Q and R start a business together. They invest Rs 15000, Rs 12000 and Rs 16000 respectively in the beginning. After 4 Months, Q took out Rs 4000 and R took out Rs 6000 . They get a profit of Rs 48505 at the end of year. R’s share in the profit is ?**

(1) Rs 16000

(2) Rs 17050

(3) Rs 16020

(4) Rs 18000

(5) None of these

**Q.10 P started a business by investing Rs 14100. After three months, Q joined him by investing Rs 23500. After 3 months of Q’s investment, R joined them by investing Rs 32900. If the total annual profit earned by them is Rs 38130, what is Q’s share in the profit ?**

(1) Rs13950

(2) Rs13,020

(3) Rs11,160

(4) None of these

(5) Rs13896

__Solutions:__

**Ans.8(5)** (Sony : Tina : Shweta )

(120000 × 4 + 200000 × 8 ) : ( 70000 × 5 + 100000 × 7 ) : ( 400000 × 2 )

208 : 105 : 80

Now,

12.5% of 2515200 = = 314400

Therefore, profit of :

Sony = 208/393 × 314400 = Rs 166,400

Tina = 105/393 × 314400 = Rs 84000

Sum = Rs 250,400

**Ans.9(3)** Ratio of investments = P:Q:R

= 15000×12: [(4×12000)+(8×8000)] : [(4×1600)+(8×10000)]

= 180000: 112000: 144000

= 90: 56: 72

= 45: 28: 36

R’s share =36/109 × 48505

= 36×445 = ` 16020

**Ans.10(1)** Ratio of Investments of P:Q:R

= 14100×12:23500×9: 32900×6

P: Q:R = 12:15:14

Q, s share = 15/41×38130= 930×15 = Rs 13950