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# Quantitative Aptitude Quiz For ECGC PO 2021- 18th February

Q1. A certain number of people were supposed to complete a work in 20 days. The work, however, took 28 days, since 8 people were absent throughout. How many people were supposed to be working originally?
(a) 32
(b) 27
(c) 36
(d) 30
(e) 28

Q2. ‘X’ men can complete a work in (X–2) days while (X–10) men can complete same work in 2X days. Find in how many days (X–6) men can complete half of the work?
(a) 8 days
(b) 12 days
(c) 16 days
(d) 20 days
(e) 24 days

Q3. Two inlet pipes can fill a tank in 15 min and 20 min alone respectively. If these two pipes are opened with an outlet pipe, then the tank fills in 12 min then find in how much time outlet pipe can empty full tank.
(a) 24 min
(b) 30 min
(c) 25 min
(d) 20 min
(e) 36 min

Q4. Two pipes can fill a tank in 15 hours and 20 hours respectively, while the third pipes can empty it in 30 hours. If all the pipes are opened simultaneously, the empty tank will be filled in
(a) 10 hours
(b) 12 hours
(c) 15 hours
(d) 15½ hours
(e) 20 hours

Q5. An amount is lent out at y% p.a at S.I for 2 years. If it had been lent at 2y% p.a at S.I for ‘a’ more years, then the interest would have been five times of the earlier interest. Find the value of ‘a’.(in years)
(a) 5
(b) 4
(c) 3
(d) 2
(e) none of these

Q6. Rahul invested a sum of Rs. 10000 in a scheme offering simple interest at 10% p.a. after 2 years, he again invested all the money he got from scheme in share market at Rs. 50 per share. After 1 month, he sold all his shares at Rs. 52 per share. Find his profit percent.
(a) 2 %
(b) 24 %
(c) 4 %
(d) 15 %
(e) 12 %

Q7. Satish started a business with investment of Rs. 15,000, after few months Sandeep joined the business with capital Rs. 20,000. If in annual profit Satish and Sandeep received Rs. 9,000 and Rs. 8,000 respectively. Then after how many months Sandeep had joined the business.
(a) 6 months
(b) 4 months
(c) 8 months
(d) 2 months
(e) 10 months

Q8. P and Q invested the same capital in business, at the end of year they get the profit of 7500 Rs. and 5000 Rs. respectively. If P has invested his capital for the whole year, for how many months Q has invested her capital?
(a) 8 months
(b) 7 months
(c) 5 months
(d) 9 months
(e) 10 months

Q9. A man invested a certain amount at the rate of 8 % per annum for 5 year and obtained a total SI of Rs. 5000. Had he invested the same amount at the same rate for 2 years, how much amount would he have obtained as CI at the end of 2 year?
(a) 2050 Rs.
(b) 2010 Rs.
(c) 2040 Rs.
(d) 2080 Rs.
(e) 2020 Rs.

Q10. Bhavya have 10,000 Rs. He invested some amount in Scheme ‘A’ which offers 15% p.a. at SI and rest in Scheme ‘B’ which offers 20% p.a. at CI. Interest earned form scheme ‘A’ after 2 years is 780Rs more than interest earned form scheme ‘B’ after 2 years. Find the amount invested in Scheme ‘B’?
(a) 8000 Rs
(b) 7000 Rs
(c) 3000 Rs
(d) 2000 Rs
(e) 5000 Rs

Directions (11-15): Given below are the number of students (in hundreds) in two schools A and B, in different years. Answer the following questions based on given DI.

Q11. What is the average number of students of school A in the year 2013, 2014 and 2016 and number of students of school B in the year 2012 and 2015 together?
(a) 3300
(b) 2500
(c) 3100
(d) 1550
(e) 2250

Q12. If in year 2017, number of students of school A decreases by 25% and that of school B increases by 10% as compared to year 2016. Find total number of students of school A and B together in 2017.
(a) 4500
(b) 5200
(c) 6500
(d) 4800
(e) 5000

Q13. Total number of students of school B in year 2015 is approximately what percent more than that of total number of students of school A in year 2012.
(a) 164%
(b) 162%
(c) 170%
(d) 172%
(e) 167%

Q14. If school A students in year 2012 decreases by 20% as compared to 2011. What was the total number of students in school A in 2011?
(a) 1875
(b) 1650
(c) 1700
(d) 1775
(e) 1675

Q15. Find the ratio of students in school A in the year 2013 and 2014 to the students in school B in the year 2015 and 2016 together?
(a)12 : 11
(b) 8 : 7
(c) 1 : 6
(d) 3 : 2
(e) 11 : 12

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