# Daily Quantitative Aptitude Questions 20th July

July 20, 2017### Quantitative Aptitude Questions 20th July:

Mathematics is one of the important sections of various Government exams, check out Daily Quant and data interpretation questions for preparation of various exams.

**Q:A>Directions (1-5):**Refer to the Graph and answer the given questions.

**Percent Profit earned by Two Companies(A & B) over the years.**

% Profit = [Profit Earned] / [Total Investment] * 100

Profit Earned = Total Income – Total Investment

**If the profit earned in 2011 by Company B was Rs. 5,85,000, what was the total income of the company in that year?**

A. Rs. 12,50,000

B. Rs. 12,62,500

C. Rs. 16,50,000

D. Rs. 14,85,000

E. None of these**If the total amount invested by the two companies in 2014 was 30 lakh, while the amount invested by company B was 50% of the amount invested by Company A, what was the total profit earned by two companies together?**

A. Rs. 23 Lakhs

B. Rs. 24 Lakhs

C. Rs. 25 Lakhs

D. Rs. 21 Lakhs

E. None of these**If the amount invested by the two companies in 2010 was equal, what was the ratio of the total income of the company A to that of B in 2010?**

A. 31:33

B. 33:31

C. 34:11

D. 34:31

E. None of these**If the Income of Company A in 2012 and that in 2013 were equal and the amount invested in 2012 was 10 lakh, what was the amount invested in 2013?**

A. Rs. 9,06,250

B. Rs. 8,06,750

C. Rs. 7,06,250

D. Rs. 5,06,750

E. None of these**If the amount of profit earned by Company A in 2011 was Rs. 11.55 Lakh, what was the total investment?**

A. Rs. 13 lakh

B. Rs. 15 lakh

C. Rs. 21 lakh

D. Rs. 24 lakh

E. None of these**If the amount invested by Company B in 2009 is Rs. 16 lakh and the income of 2009 is equal to the investment in 2010, what is the amount of profit earned in 2010 by Company B?**

A. Rs. 16.64 Lakh

B. Rs. 18.62 Lakh

C. Rs. 13.23 Lakh

D. Rs. 13.64 Lakh

E. None of these**Approximately, what was the average % profit earned by Company B in all the years together?**

A. 70%

B. 75%

C. 60%

D. 50%

E. None of these**If the investments of the company A in 2012 and 2013 were equal, what is the difference between the profits earned in the two years if the income in 2013 was Rs.48 lakh?**

A. Rs. 6.6 Lakh

B. Rs. 4.5 Lakh

C. Rs. 9.2 Lakh

D. Rs. 5.6 Lakh

E. None of these**If each of the companies A and B invested Rs. 10 Lakh in 2015, what was the average profit earned by the two companies?**

A. Rs. 8 Lakh

B. Rs. 5 Lakh

C. Rs. 7 Lakh

D. Rs. 6 Lakh

E. None of these**What was the average percent profit earned by Company A in all the years together?**

A. 53.57%

B. 63.57%

C. 73.57%

D. 83.57%

E. None of these

**Q:B>**

**Directions (11-12): Answer the questions based on the following information.**

*Rakesh, Shiv and Vijay working alone can complete fencing a wall in 12, 18 and 27 hrs respectively. All of them started fencing the wall together as a team and after 2 hrs, Rakesh left the team. Shiv and Vijay continued to fence until Vijay fell ill and hence he had to leave the team. Then, Shiv finished fencing the wall in the last 5 hrs.*

**Q11. How many hrs did it take for the team to finish fencing the wall?**

(a) 11 hrs

(b) 13 hrs

(c) 15.66 hrs

(d) 12 hrs

(e) None of these

**Q12. Which pair among the following will be able to finish fencing the wall in the least time?**

(a) Rakesh and Shiv

(b) Shiv and Vijay

(c) Rakesh and Vijay

(d) Either (b) or (c)

(e) None of these

2

**. Directions (13-14): Answer the questions on the basis of the information given below.***Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/h, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/h, reaches B and comes back to A at the same speed.*

**Q13. At what time do Ram and Shyam first meet each other?**

(a) 10.00 a.m.

(b) 10.10 a.m.

(c) 10.20 a.m.

(d) 10.30 a.m.

(e) None of these

**Q14. At what time does Shyam overtake Ram?**

(a) 10.20 a.m.

(b) 10.30 a.m.

(c) 10.40 a.m.

(d) 10.50 a.m.

(e) None of these

**Answers:**

**Q.A:**

**D. Rs. 14,85,000**

Income = 585000/65 * 165 = 1485000**A. Rs. 23 Lakhs**

Amount invested by Company A in 2014 = 2/3 * 30,00,000 = 20 lakh

Amount invested by Company B in 2014 = 1/3 * 30,00,000 = 10 lakh

Profit earned by Company A = 75/100 * 20,00,000 = 15 lakh

Profit earned by Company B = 80/100 * 10,00,000 = 8 lakh

Total Profit = 23 lakh**D. 34:31**

Income of A in 2005 = 1.70x

Income of B in 2005 = 1.55x

A:B = 1.70x : 1.55x = 34 : 31**A. Rs. 9,06,250**

Income of Company A in 2012 = 145/100 * 10,00,000 = 1450000

Amount invested in 2013 = 1450000 / 160 * 100 = 9,06,250**C. Rs. 21 lakh**

55/100 * x = 11,55,000

x = 21 lakh**D. Rs. 13.64 Lakh**

Income of Company B in 2009 = 1.55 * 16,00,000 = 24.8 lakh

Investment in 2010 = 24.8 lakh

Profit earned in 2010 = 55/100 * 24,80,000 = 13.64 lakh**A. 70%**

Average percent profit = 495/7 = 70.71%**B. Rs. 4.5 Lakh**

Investment of Company A in 2013 = 48,00,000 / 1.60 = 30 lakh

Profit earned in 2013 = 48 – 30 = 18 lakh

Profit earned in 2014 = 45/100 * 30,00,000 = 13.50 lakh

Difference = 18 – 13.5 = 4.5 lakh**A. Rs. 8 Lakh**

Average Profit = [(90/100 * 10,00,000) + (70/100 * 10,00,000)] / 2 = 8 lakh**B. 63.57%**

Average percent profit = 445/7 = 63.57%

**Q.B) **

**(11-12):**

Let, fencing the entire will be equivalent to 108 units of work.

⇒ Rakesh does 9 units per hour, Shiv does 86 units per hour and Ramu does 4 units per hour.

In 2 hrs (9 + 6 + 4) × 2 = 38 units were done.

Reaming = 70 units

In the last 5 hrs, Shiv has done = 5 × 6 = 30 units

The other 40 units were done by Shiv and Vijay together in ( 40/(6+4)=4 hrs)

**11) Ans.(a)
12) Ans.(a)
13) Ans.(b)
14) Ans.(b) **