Directions (1-5): Solve the given quadratic equations and mark the correct option based on your answer—
(a) x < y
(b) x ≤ y
(c) x = y or no relation can be established between x and y.
(d) x > y
(e) x ≥ y
Q1.
(i) x²-25x+156=0
(ii) y²-21y+108=0
Q2.
(i) 3x + 5y = 18
(ii)7x + 8y = 42
Q3.
(i)2x² + 15x + 27 = 0
(ii)3y² + 25y – 18 = 0
Q4.
(i)6x² + 29x + 35 =0
(ii)20y² + 27y + 9 =0
Q5.
(i)x² – 7x – 30 = 0
(ii)y² + 15y + 50 = 0
Q7. A boat covers a certain distance in lake whose speed of water current is zero and takes 2 hours more than the time taken to cover same distance downstream in the river. If speed of boat is 50 % more than the speed of stream of river then, find the time taken by boat to cover the same distance upstream (consider speed of boat in still water in lake and river is same) ?
(a) 10 hours
(b) 12 hours
(c) 15 hours
(d) 15/2 hours
(e) 13 hours
Q8. Find the ratio of area of a circle to area of square if perimeter of circle and square is equal?
(a) 11 : 14
(b) 11 : 4
(c) π : 11
(d) 14 : 11
(e) 2 : π
Q9. A Jar contain water and milk in the ratio of 2: 3. Some milk is added in the Jar whose amount is equal to 30% of water present in the Jar. After this some water is added whose amount is equal to 10% of quantity of milk present in Jar presently. What is the new ratio of water and milk in the Jar.
(a) 59 : 90
(b) 11 : 18
(c) 90 : 59
(d) 18 : 11
(e) 57 : 67
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): The given bar graph shows the number of phones (Samsung, Micromax and MI) sold by Store ‘A’ in different 5 different years. Study the graph and answer the following questions
Q11. Samsung phones sold in 2014 and MI phones sold in 2016 together is what percent more/loss then Samsung phones sold in 2016.(a) 137.5%
(b) 75%
(c) 100%
(d) 84%
(e) 80%
Q12. Find the difference between average number of Samsung phones sold to average number of Micromax mobile sold in given five years by store A?
(a) 120
(b) 82
(c) 98
(d) 136
(e) 125
Q13. If Samsung, Micromax and MI phones sold in 2013 is 20%, 10% and 0% respectively more than these mobiles sold in 2012 respectively, then, find average number of phones sold in 2012 of all three companies by store A
(a) 4000
(b) 6275
(c) 5600
(d) 5800
(e) 5000
Q14. In 2015, Samsung phones sold to male customers and female customers is in the ratio 7 : 5. In 2017, Samsung phones sold to male customers and female customers in the ratio 13 : 11. Find the ratio of male customers to female customers who bought Samsung in 2015 and 2017 together.
(a) 17 : 13
(b) 19 : 15
(c) 31 : 19
(d) 11 : 15
(e) None of these
(a) 4000
(b) 3500
(c) 6000
(d) 5400
(e) 4800
Solutions